Answers
Answer:
27) #3 --> 12x - 24 = 60
29) 2x^2 + x - 15
Step-by-step explanation:
27) If x represents the number of boxes, and there are 12 cookies in each box, multiplying 12 by x results in the total number of cookies Kendal bought. However, she kept 2 boxes for herself, which is the same as 2(12) = 24 cookies. Kendal ended up with 60 cookies at the party, so subtracting 24 cookies from the total number of cookies (12x) equals 60 cookies.
29) (3 + x)(2x - 5)
3 * 2x = 6x
3(-5) = -15
x * 2x = 2x^2
x(-5) = -5x
6x - 15 + 2x^2 - 5x =
2x^2 + x - 15
Related Questions
pleas answer!!!!!!!!!!
why do i have to put 29 characters in the box
Answers
The rate of decrease is 89%.
The function shows exponential decay.
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given:
An exponential function,
y = 8600(0.11)ˣ.
When we put x = 0,
we get,
y = 8600
And when we put x = 1
we get,
y = 946
So, 1 - r = 0.11
Rate of decrease, r = 0.89
Therefore, the function shows exponential decay.
To learn more about exponential decay;
https://brainly.com/question/14344314
#SPJ1
How can you solve real-world and mathematical problems with numerical and algebraic equations and inequalities?
Answers
Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:
What is Linear Inequality?
In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.
Solution:
Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:
1. Consider the issue carefully and note what you are looking for. You can use this to decide which variables to include in your equations.
2. The equations that describe the issue should be written down. This could entail writing expressions that relate the variables or utilizing formulas.
3. Use algebraic strategies to solve the equations, such as grouping like terms, multiplying or dividing both sides of the equation by a constant, or focusing only on one side of the problem's variables.
4. Verify your answers to make sure they make sense in light of the issue at hand.
To learn more about Linear Inequality from
https://brainly.com/question/24372553
#SPJ1
Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:
What is Linear Inequality?In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.
According to question:
Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:
1. Consider the issue carefully and note what you are looking for. You can use this to decide which variables to include in your equations.
2. The equations that describe the issue should be written down. This could entail writing expressions that relate the variables or utilizing formulas.
3. Use algebraic strategies to solve the equations, such as grouping like terms, multiplying or dividing both sides of the equation by a constant, or focusing only on one side of the problem's variables.
4. Verify your answers to make sure they make sense in light of the issue at hand.
To know more about Linear Inequality visit:
brainly.com/question/24372553
#SPJ1
{
x = 10
3x + 5y = 20
What is the solution (x, y)
Answers
Answer:
x=10,y= -2).
Step-by-step explanation:
The given system of equations is:
x = 10
3x + 5y = 20
We can use substitution to solve for y. Starting with the first equation:
x = 10
We can substitute the value of x into the second equation:
3x + 5y = 20
3 * 10 + 5y = 20
30 + 5y = 20
5y = 20 - 30
5y = -10
Finally, we can solve for y by dividing both sides of the equation by 5:
y = -10 / 5
y = -2
x=10,y= -2).
2.
(08.02 LC)
Solve nine times two thirds.
Leave your answer as an improper fraction.
A) eleven twenty sevenths
B) eighteen twenty sevenths
C) eleven thirds
D) eighteen thirds
Pls help
Answers
The fraction of nine times two thirds is 18/3 (option D)
What is fraction ?
A fraction is a way of representing a part of a whole or a ratio between two numbers. It consists of two numbers written one above the other and separated by a horizontal line called a fraction bar.
The number above the fraction bar is called the numerator, and it represents the part of the whole or the quantity being considered. The number below the fraction bar is called the denominator, and it represents the total number of equal parts into which the whole has been divided.
Given by the question:
Nine times two thirds can be written as:
9 × 2/3 = 18/3=6
Simplifying this fraction, we can divide both the numerator and denominator by their greatest common factor of 3, which gives:
18/3
so the correct option is D.
To know more about fraction visit:
https://brainly.com/question/29766013
#SPJ1
-7 1/7 * (3 2/5)+6 3/5*(-71/7)=x
Answers
Answer:
x = -91 8/35
Step-by-step explanation:
Challenging, but lets take it step by step. We have two sets each of complex fractions being multiplied, and then added. As per PEDMAS, do the multiplication first and then add. [I changed the -71/7 as per your note in the comment section.]
[-7 1/7 * (3 2/5)] + [6 3/5*(-7 1/7)] = x
Convert the two numbers into fractions. Eg., 7 1/7 becomes 50/7 and 3 2/5 becomes 17/5. 6 3/5 becomes 33/5 and 7 1/7 becomes 50/7.
[-50/7 * (17/5)] + [33/5*(-50/7)] = x
Now multiply the numerators and denominators.
[-850/35] + [-2343/35] = x
Now we can add the two fractions since they have the same denominator.
-(3193/35) = x
x = -91 8/35
Jen’s phone uses a simple algorithm to count the number of strides she takes.
The algorithm looks at the phone’s accelerometer measurements, and counts a
stride each time the acceleration goes from below to above 3 g. Based on the
number of strides counted in the 20-second window shown here, and assuming
that Jen travels 140 cm per stride, what was Jen’s average walking speed, in
meters per second, over the 20-second window? Express your answer as a
decimal to the nearest hundredth.
Answers
Using the relationship between speed, distance and time, Jen's average walking speed was approximately 1.75 meters per second over the 20-second window.
What is Jen's average walking speedTo find Jen's average walking speed, we need to first find the total distance that she walked in 20 seconds. We can do this by multiplying the number of strides she took by the distance of each stride, which is given as 140 cm.
From the graph provided, we can see that Jen took 25 strides in the 20-second window. Therefore, the total distance she walked is:
distance = number of strides * distance per stride = 25 * 140 cm = 3500 cm
To convert this to meters, we divide by 100:
distance = 3500 cm / 100 = 35 meters
Finally, we can find Jen's average walking speed by dividing the total distance by the time it took her to walk it, which is 20 seconds:
average speed = distance / time = 35 meters / 20 seconds ≈ 1.75 meters per second
Learn more on speed here;
https://brainly.com/question/6504879
#SPJ1
Answer: 1.33 m/s
Step-by-step explanation:
We need meters per second, not centimeters per second, so convert the stride of 140 cm to meters:
140 cm times 1 m/100 cm = 1.4 meters.
The number of pulses going above the dashed line for the 3 g threshold to
count as strides are 19. Therefore, a total assumed distance of $19 times 1.4 meters is covered in 20 seconds, making the average speed
19 times 1.4/20 = 19 times 0.07 = 1.33m/s.
Which statement is true about the end behavior of the
graphed function?
O As the x-values go to positive infinity, the function's
values go to negative infinity.
O As the x-values go to zero, the function's values go to
positive infinity.
O As the x-values go to negative infinity, the function's
values are equal to zero.
O As the x-values go to positive infinity, the function's
values go to positive infinity.
Answers
As the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The graph of the function is given below.
From the graph, we can conclude that the value of the graph is always positive. So, the function will be an exponential function.
From the graph, as the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ9
Compare the function g(x) = 4^3√x + 2 -5 to the cube root parent function f(x)=^3√x. How has the function been transformed from the original parent function?
PLEASE SHOW ALL WORK FOR BRAINLIEST!!
Answers
The transformations from the parent cube root function to generate function g(x) are given as follows:
Vertical stretch by a factor of 4.Shift left by 2 units.Shift down by 5 units.What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.For this problem, the transformations are given as follows:
Multiplication by 4: vertical stretch by a factor of 4.x -> x + 2: shift left 2 units.y -> y - 5: shift down 5 units.More can be learned about translations at brainly.com/question/28174785
#SPJ1
How do you find multiples of 3 and 5?
Answers
To find multiple of 3 and 5 we need to add 15 to the previous multiple of 15.
To find multiples of 3 and 5, you can use the following steps:
1. Start with the number 3 and 5, respectively.
2. Add 3 or 5 to the previous number to get the next multiple. For example, 3 + 3 = 6, 6 + 3 = 9, and so on. Similarly, 5 + 5 = 10, 10 + 5 = 15, and so on.
3. Repeat step 2 until you have found the desired number of multiples.
Here are the first 10 multiples of 3 and 5:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Note that some numbers, such as 15 and 30, are multiples of both 3 and 5. These are called common multiples.
To know more about common multiples click on below link:
https://brainly.com/question/13696879#
#SPJ11
Help please…………………………………..
Answers
The value of the wanted limit is:
[tex]\lim_{x \to 0} \frac{1}{4} (f(x))^4 = 64[/tex]
So the correct option is the third one.
How to find the limit?Here we know that:
[tex]\lim_{x \to 0} f(x) = 4[/tex]
And we want to find the value of the limit:
[tex]\lim_{x \to 0} \frac{1}{4} (f(x))^4[/tex]
Notice that because neither the fraction nor the power depend on the value of x, we can put the limit inside the parenthesis to get:
[tex]\lim_{x \to 0} \frac{1}{4} (f(x))^4 = \frac{1}{4} (\lim_{x \to 0} f(x))^4[/tex]
And we know that the thing inside the parenthesis is 4, then:
[tex]\frac{1}{4} (\lim_{x \to 0} f(x))^4 = \frac{1}{4} (4)^4 = 4^3 = 64[/tex]
Learn more about limits at:
https://brainly.com/question/5313449
#SPJ1
Are 5 2 13 5 and -5 2 13 -5 inverses? Why or why not?
Answers
Yes multiplying the matrices shows that it is inverse matrix
How to find if they are inversesThe inverse of a matrix is a matrix that, when multiplied by the original matrix, results in the identity matrix.
Using multiplication of matrices product is sort as follows
Row 1 column 1
= 5 * - 5 + 2 * 13 = -25 + 26 = 1
Row 1 column 2
= 5 * -2 + 2 * 5 = -10 + 10 = 0
Row 2 column 1
= 13 * -5 + 5 * 13 = -65 + 65 = 0
Row 2 column 2
= 13 * 2 + 5 * -5 = 26 + -25 = 1
The identity matrix is
Row 1 column 1 Row 1 column 2 1 0
Row 2 column 1 Row 2 column 2 0 1
Learn more about identity matrix at:
https://brainly.com/question/28177340
#SPJ1
What's the value x?
The value of x is often used in algebra, meaning a value that isn't known yet. It is called a variable, or unknown
Answers
The value x is used often in algebra to specify an unknown variable.
What is Variable?Variables are often alphabets or letters used to represent an unknown number or value.
It is called a variable because it may change it's value according to the value of the others.
x is a variable which is commonly used to solve problems in algebra.
It represents the unknown variable.
We have to do certain operations to find the value of y.
Consider the equation, x + 5 = 13.
Here x is a unknown variable.
We can find the value of x as x = 13 - 5 = 8
Hence x is commonly used to represent an unknown variable.
Learn more about Variables here :
https://brainly.com/question/17344045
#SPJ9
What is change in demand and change in quantity demanded?
Answers
Answer:
Step-by-step explanation:
Change in demand refers to a shift in the entire demand curve, either to the right or to the left, resulting in a higher or lower demand for a good or service, respectively. It can be caused by a variety of factors, such as changes in consumer preferences, changes in the price of related goods, changes in income, changes in the population, or changes in consumer expectations.
Change in quantity demanded, on the other hand, refers to a movement along the demand curve, resulting from a change in the price of a good or service, without any change in the underlying demand for the good or service. For example, if the price of a good decreases, the quantity demanded of that good will increase, and vice versa. This relationship between price and quantity demanded is known as the law of demand.
In summary, change in demand represents a shift in the demand curve, while change in quantity demanded represents a movement along the demand curve.
Help! Brainliest! Need help with 10, 12, and 13. I really appreciate it!!
Answers
The required ST² = TW × RT has been proven for the triangle RST where SW is perpendicular from vertex S to RT.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
Here,
For the triangle RST where SW is perpendicular from vertex S to RT
Rewrite the equation,
ST² = TW × RT
ST/TW = RT/ST
It implies triangle SWT is similar to triangle RST,
Where,
∠S = ∠W and ∠T = ∠T
So triangle SWT is similar to triangle RST, by AA postulate of similarity.
If triangles are similar,
ST/TW = RT/ST [became valid statement]
ST² = TW × RT
Thus, ST² = TW × RT hence proved.
Learn more about similar triangles here:
brainly.com/question/25882965
#SPJ9
Kirill purchased 20 cows, pigs and chickens for $3,447. If cows cost $750 each, pigs cost $60 each, and chickens cost $3 each, and he bought two more chickens than
pigs, how many of each animal did he buy?
Answers
Let's use c for the number of cows, p for the number of pigs, and h for the number of chickens.
From the problem, we know that:
c + p + h = 20 (he bought 20 animals in total)
750c + 60p + 3h = 3447 (the total cost of the animals)
We also know that he bought two more chickens than pigs, so:
h = p + 2
Now we can use these three equations to solve for c, p, and h. One way to do this is to use substitution. Solving one of the equations for one of the variables and then substituting that expression into the other equations, we get:
p = h - 2 (from the relationship between h and p)
c + (h - 2) + h = 20 (substituting into the first equation)
c + 2h = 22
c = 22 - 2h (solving for c)
Substituting the expressions for c and p into the second equation, we get:
750(22 - 2h) + 60(h - 2) + 3h = 3447
16500 - 1500h + 60h - 120 + 3h = 3447
-1437h = -13083
h = 9
Now we can use the expressions for h and p to find c:
c + (9 - 2) + 9 = 20
c = 4
Therefore, Kirill bought 4 cows, 7 pigs, and 9 chickens.
Ssmsmskmssmkkmam
In figure below, l || m. Find x.
Answers
Answer:
70
The top line should add up to 180 and both sides other than x are 55 so since 55+55=110 180-110=70
what is the axis of symmetry of this quadratic? -5x² + 70x + 3
Answers
Answer:
x=7
Step-by-step explanation:
You graph it and find the middle point that would create a line through it and see where it his the x-axis.
help me on this and tell me if i got them right
Answers
The volume of a rectangular prism is 320 m³.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.
1) Given that, base area is 40 m² and height is 8 m.
So, the volume = 40×8
= 320 m³
2) 2) In the basketball game, Scott attempted 14 free throws.
He made half of them = 14/2
= 7
So, he made 7 throws
3) Today's high is 47 degrees Fahrenheit.
The weatherman says it will hit freezing tonight.
So, the temperature is represented as -47 degrees.
4) The given numbers are 5489 and 6752
Now, the sum is 5489 +6752
= 12241
Estimated to the nearest thousand as 12000.
5) Jace had 38 paper airplanes at home.
Christopher gave him 14 more paper airplanes to play with at home. Then Ameera gave him 29 paper airplanes.
So, total airplanes= 38+14+29
= 81
So, Jace had total 81 paper airplanes.
Therefore, the volume of a rectangular prism is 320 m³.
To learn more about the rectangular prism visit:
https://brainly.com/question/27812749.
#SPJ1
Find the value of the X, Triangle Similarity
Answers
The value of 'x' in similar triangles is 6.9 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, A line segment parallel to one side of the triangle divides the other two sides in the ratio of their respective lengths.
Therefore, The ratio can be formed as,
13/5 = 18/x.
13x = 90.
x = 6.9 units.
learn more about triangles here :
https://brainly.com/question/29083884
#SPJ1
can someone PLEASE help me ASAP! Due today!! I will give brainliest.
Show work please
Answers
The surface area of the given figure is 200 yd².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Representing the figure as three dimensional, this consists of two triangular bases and three rectangular faces.
Area of triangle = [tex]\frac{1}{2}[/tex] × base × height
= [tex]\frac{1}{2}[/tex] × 6 × 4
= 12 yards²
Area of two triangular faces = 12 × 2 = 24 yd²
Of the three rectangular faces, two of them have a length of 11 yd and width of 5 yd.
Area of a rectangle = Length × Width
Area of two rectangular faces = 2 × Length × Width
= 2 × 11 × 5
= 110 yd²
Area of the third rectangular face = 11 × 6 = 66 yd²
Total surface area = 24 yd² + 110 yd² + 66 yd²
= 200 yd²
Hence the total surface area is 200 yd².
Learn more about Surface Area here :
https://brainly.com/question/29101132
#SPJ1
Use the distributive property to write an expression that is equivalent to 12+4=___.
Please I need help
Answers
Using the distributive property to write the expression, we have:
12+4 = 4(3 + 1)
How to use the distributive property to write an expression?The distributive property states that a(b + c) = ab + ac, where a, b, and c are any real numbers.
We can use this property to write an expression that is equivalent to 12 + 4 as follows:
12 + 4 = 4(3) + 4 (here, we have factored out 4 from 12 using the distributive property)
= 4(3 + 1) (we have combined the terms inside the parentheses)
Therefore, 12 + 4 is equivalent to 4(3 + 1).
Learn more about distributive property on:
https://brainly.com/question/2807928
#SPJ1
ting is making a circular garden with a radius of 6 feet.How far across is the garden at its widest point?What is the length of edging material to the nearest hundredth needed to enclose the garden?Use 3.14
Answers
The length of edging material needed to enclose the garden is approximately 37.68 feet to the nearest hundredth.
Describe Circumference of circle?The circumference of a circle is the distance around its outer boundary, also known as its perimeter. It is one of the fundamental properties of a circle, along with its radius and diameter.
Since the garden is circular, its widest point is its diameter, which is twice the radius. Therefore, the widest point of the garden is 12 feet across.
To find the length of the edging material needed to enclose the garden, we need to find the circumference of the circle. The formula for the circumference of a circle is C = 2πr, where r is the radius and π (pi) is approximately 3.14. Substituting, r = 6 into the formula, we get:
C = 2π(6)
C = 12π
To approximate this value using 3.14, we can substitute π = 3.14 and get:
C ≈ 12(3.14)
C ≈ 37.68
Therefore, the length of edging material needed to enclose the garden is approximately 37.68 feet to the nearest hundredth.
To know more about radius visit:
https://brainly.com/question/1296843
#SPJ1
There are 80 people in a choir.
Half of the people in the choir are women
The number of men in he choir is one quarter of the number of women
the number of children in the choir : the number of men in the choir = n:1
Work out the value of n.
You must show how you get your answer.
Answers
Answer:
We know that half of the choir members are women, which means:
Number of women = 80/2 = 40
We also know that the number of men is one-quarter of the number of women, which means:
Number of men = 40/4 = 10
Now, we're given that the ratio of children to men in the choir is n:1. Let's call the number of children in the choir "c".
So, we have:
c : 10 = n : 1
We can cross-multiply to get:
c = 10n
Since we know that the total number of people in the choir is 80, we can set up another equation:
40 (women) + 10 (men) + c (children) = 80
Substituting c = 10n, we get:
40 + 10 + 10n = 80
Simplifying the left side, we get:
50 + 10n = 80
Subtracting 50 from both sides, we get:
10n = 30
Dividing both sides by 10, we get:
n = 3
Therefore, the value of n is 3
eric reads an article that says 15 out of 25 adults use their computer everyday. He collects data from a random sample of adults. Out of 1,270 adults, estimate the number of adults who use their computer every day. Please show your work!
Answers
we can estimate that 762 adults in Eric's sample use their computer every day.
What is random sample?Each sample has an equal chance of being chosen as part of the sampling procedure known as random sampling. A randomly selected sample is intended to be a fair reflection of the entire population.
According to question:We can use the proportion from the article to estimate the number of adults who use their computer every day in Eric's sample.
The proportion of adults who use their computer every day from the article is:
15/25 = 0.6
This means that 60% of adults use their computer every day.
To estimate the number of adults who use their computer every day in Eric's sample, we can multiply the proportion by the sample size:
0.6 x 1,270 = 762
So we can estimate that 762 adults in Eric's sample use their computer every day.
To know moer about Random sample visit:
brainly.com/question/29852583
#SPJ1
suppose that a motorboat is moving at 40ft/s when its motor suddenly quits, and that 10 s later the boat has slowed to 20 ft/s. assume that the resistance it encounters while coasting is proportional to its velocity, so that dv/dtkv. how far will the boat coast in all?
Answers
The boat will coast a total distance of approximately 40/ln(0.5)/(-10) ft.
To solve this problem, we can use the concept of exponential decay. If we let v(t) be the velocity of the boat as a function of time t, then we can write the differential equation that describes its motion as:
dv/dt = -kv(t)
where k is the proportionality constant between resistance and velocity. We can separate variables and integrate both sides to get the velocity as a function of time:
∫(dv/dt) = -k∫(v(t))dt
v(t) = Ce^(-kt)
where C is an arbitrary constant of integration. We can use the initial condition v(0) = 40 ft/s to find C:
C = 40
So the velocity of the boat as a function of time is:
v(t) = 40e^(-kt)
We can use the condition v(10) = 20 ft/s to solve for k:
20 = 40e^(-10k)
Taking the natural logarithm of both sides:
ln(0.5) = -10k
k = ln(0.5)/(-10)
Next, we can use the velocity as a function of time to find the distance traveled by the boat:
∫(v(t))dt = ∫(40e^(-kt))dt = 40/k * (1 - e^(-kt))
Let's call the total distance traveled by the boat "D". Then we can write:
D = 40/k * (1 - e^(-kt))
We can plug in the value of k we found earlier and evaluate the expression at t = ∞:
D = 40/ln(0.5)/(-10) * (1 - e^(-∞)) = 40/ln(0.5)/(-10)
To learn more about distance here:
https://brainly.com/question/15172156
#SPJ4
The diameter of a circle is 16 ft. Find its area to the nearest whole number.
Answers
Answer:
the area of the circle is approximately
201.06 ft^2
Jimmy is an accountant who also works part-time as a museum tour guide. Information from his tax worksheet is wages from accounting job, $75,937.84; wages from museum job, $14,937.92; interest, $839.40; and dividends, $123.45. What is Jimmy’s total income?
Answers
Jimmy’s total income is the sum of all the incomes which is $91838.61 .
How to determine Jimmy's income?
You should understand that total income' refers to the sum of certain incomes (in cash and, in some circumstances, in kind) of the statistical unit during a specified reference period .
Now in the given question ,
The given parameters that will help us to determine the income are
wages from accounting job, $75,937.84;
interest, $839.40
wages from museum job, $14,937.92;
dividends, $123.45.
Therefore Jimmy's total income is the sum of all the incomes
$(75,937.84 + 839.40 + 14,937.92 + 123.45)
Total income = $91838.61
learn more about total income , visit:
brainly.com/question/21121917
#SPJ1
Jimmy, Jimbo and Jim Bob are all GT Algebra II students. It takes Jimmy 8 minutes to solve a 3-variable substitution problem without a calculator. Together, it takes Jimbo and Jim Bob 6 minutes to solve a 3-variable substitution problem without a calculator. If Jim Bob can solve a problem by himself in 14 minutes, how long would it take Jimbo to solve a problem alone?
It would take Jimbo
Question Blank 1 of 1
type your answer...
minutes to solve a problem alone.
Answers
Jimbo approximately 5.09 minutes to solve the problem by himself.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The amount of time it takes Jimbo to solve the problem by himself = x.
The amount of time Jimmy takes to solve the problem.
= 8 minutes
The amount of time it takes Jimmy to solve the problem by himself.
= 1/8
Jimbo and Jim Bob together can solve the problem in 6 minutes, so their combined rate of work is 1/6 of the problem per minute.
The amount of time it takes Jim Bon to solve the problem by himself.
= 1/14
Now,
We can make an equation:
1/8 + 1/x + 1/14 = 1/6
We can solve for x to find the amount of time it would take Jimbo to solve the problem by himself.
1/8 + 1/x + 1/14 = 1/6
Multiply both sides by 168x.
We get,
21x + 168 + 12x = 28x
33x = 168
x = 168/33
x = 5.09
Thus,
Jimbo approximately 5.09 minutes to solve the problem.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
A museum roomcircular in shape, has 5 equally spaced sensors on its walls. There are no dead or overlapping spots along the perimeter of the roomEach sensor has the same angle of detection What is the detection angle of each sensor ? Enter your answer in the box plsss help asap
Answers
Answer: 108 degrees.
Step-by-step explanation:
I think this is how you solve it:
A circle has a total of 360 degrees.
Having 5 equally placed sensors with a certain detection angle means that the sensors form a regular pentagon.
Finding the measure of the interior angles of a regular pentagon can be found using the formula
(180(n-2))/n, with n being the number of vertices of the polygon.
180(5-2)/5 ; 180(3)/5 ; 540/5 = 108
I think this means the detection angle is 108 degrees. Hope this helps!
If you get it wrong I'm terribly sorry T-T
Solve the following system of equations:
-2x + 3y = 7
y = 3x + 7
(-5, -1)
(-2, 1)
(-1,4)
(1,3)
Answers
The solution of the equations 3y - 2x = 7 and y = 3x + 7 will be (-2, 1). Then the correct option is B.
What is the solution to the equation?The possible value of the variables that satisfy the equation which is known as the solution of the equation.
The equations are given below.
-2x + 3y = 7 ...1
y = 3x + 7 ...2
From equations 1 and 2, then we have
- 2x + 3(3x + 7) = 7
- 2x + 9x + 21 = 7
7x = - 14
x = - 2
Then the value of 'y' is given as,
y = 3(-2) + 7
y = - 6 + 7
y = 1
The solution of the equations 3y - 2x = 7 and y = 3x + 7 will be (-2, 1). Then the correct option is B.
More about the solution of the equation link is given below.
https://brainly.com/question/22613204
#SPJ9