Answers
The set of pairs for which x and y vary inversely is given as follows:
{(-1, -2/7), (4, 1/14), (6, 1/21)}
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
For an inverse relation, the relation is modeled as follows:
y = k/x.
Meaning that when x increases, y decreases at a constant rate.
The constant is then given as follows:
k = yx.
Hence the third relation is then the relation for which x and y vary inversely, as:
k = -1 x -2/7 = 4 x 1/14 = 6 x 1/21.
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Related Questions
Match each expression in column A with an equivalent expression from column B
olumn A
1.
2.
3.
4,
-
-
-
3x-2x+0.5x
6(x+4)-2(x+5)
3(x+4)-2(x+4) +0.5(x+4)
20(2/5x+3/4y-1/2)
Column B
a. 1.5
b. 1.5%
c. 1/2 (16x+30y-20)
d. 2(2x+7)
Answers
20(2/5x+3/4y-1/2) = 2(2x+7), 3x-2x+0.5x = 1/2 (16x+30y-20) corresponding expression from column B for each expression in column A
what is expression ?It is necessary to multiply, distribute, add, or take in mathematics. The following is the way an expression is put next to each other: Number, expression, and logical operator The ingredients of a mathematical expression include numerals, variables, and equations (such as addition, subtraction, multiplication or division etc.) It is conceivable to contrast statements with phrases. An phrase, often known as an arithmetic operation, is any logical statement that abstract, numbers, and a mathematical operation between those. For instance, the word m in the formula given is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.
given
3x-2x+0.5x = 1/2 (16x+30y-20)
6(x+4)-2(x+5) = 1.5%
3(x+4)-2(x+4) +0.5(x+4) = 1.5
20(2/5x+3/4y-1/2) = 2(2x+7)
20(2/5x+3/4y-1/2) = 2(2x+7), 3x-2x+0.5x = 1/2 (16x+30y-20) corresponding expression from column B for each expression in column A .
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Each side of the base of a square pyramid measures 10 inches. The height of each lateral face of the pyramid is also 10 inches.
What is the surface area of the pyramid?
Enter your answer in the box.
in²
Answers
The surface area of the pyramid is 300 square inches.
What is the surface area of the pyramid?The surface area of a square pyramid can be calculated by:
Adding the area of the base (a square)To the sum of the areas of the lateral faces (four triangular faces).The area of the square base is
10 inches * 10 inches = 100 square inches.
Based on the given parameters:
The area of each triangular face is:
(10 inches * 10 inches) / 2 = 50 square inches.
So, the total surface area of the pyramid is:
100 square inches + 4 * 50 square inches = 300 square inches.
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Each side of the base of a square pyramid measures 10 inches. The height of each lateral face of the pyramid is also 10 inches.
What is the surface area of the pyramid?
Enter your answer in the box.
Answers
The surface area of the square pyramid is given by S = 323.6 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the square pyramid be S
Now , the equation will be
The base of the square pyramid a = 10 inches
The height of the lateral face h = 10 inches
The base area of the pyramid = a²
The lateral surface area of the pyramid = 2a √ ( ( a²/4 ) + h² )
So , the total surface area of square pyramid S = a² + 2a √ ( ( a²/4 ) + h² )
Substituting the values in the equation , we get
The base area of the pyramid = 100 inches²
The lateral surface area of the pyramid = 2 ( 10 ) √ ( ( 100/4 ) + 100 )
On simplifying the equation , we get
The lateral surface area of the pyramid = 223.6 inches²
The total surface area of square pyramid S = 100 inches² + 223.6 inches²
The total surface area of square pyramid S = 323.6 inches²
Hence , the surface area of the pyramid is 323.6 inches²
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Can someone help me it would mean alot
Answers
Due to length restrictions, we kindly invite to read the explanation for further details on how to go across the maze with linear functions.
How to go across the maze
In this problem we find a maze formed by representations of linear functions on Cartesian plane, of which we must determine the slope of each line until finish is reached. This can be done by understanding the following instructions based on results from secant line formula:
Slope of line 1 is undefined.Slope of line 2 is less than - 1.Slope of line 3 is equal to 1. Slope of line 4 is more than 1 and less than 0.Slope of line 5 is equal to 0.Slope of line 6 is more than 0 and less than 1. Slope of line 7 is equal to 1.Slope of line 8 is more than 1.The procedure to go across the maze is shown below:
Start at square A.Select choice "- 1 / 3".Go to square B.Select "Undefined".Go to square E.Select "2".Go to square F.Select "- 1 / 2".Go to square C.Select "2".Go to square B.FAIL
Start at square I.Select choice "2".Go to square J.Select choice "0".Go to square K.Select choice "- 1".Finish.SUCCESS
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Write an equation of the line in POINT-SLOPE form that passes through the given points.
(5,-1) and (-3,-4)
(Type an EQUATION. Simplify your answer.)
Answers
The equation the line is, y = 3/8 *x - 23/8, equation of the line in POINT-SLOPE form that passes through the given points (5,-1) and (-3,-4).
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (5,-1) and (-3,-4)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
now, solving we get,
3x-8y = 23
equation of the line in POINT-SLOPE form is,
y = 3/8 *x - 23/8
Hence, the required equation is, y = 3/8 *x - 23/8
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In a survey of 290 newspaper readers, Isl of them read the daily times, 142 read the Guardian, 117 read punch and each read at least one of the three papers. If 75 read the Daily Times and the Guardian, 60 read the Daily times and Punch, and 54 read the Guardian and punch (a) draw a Venn diagram to illustrate this Information (b) How many readers read (I) All three papers (ii) exactly two of the papers. (iii) exactly one of the papers. (iv) The Guardian alone?
Answers
In Venn diagram All three papers 39,exactly two of the papers 189, exactly one of the papers 251 and The Guardian alone 142.
How is a Venn diagram explained?A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for showing how two concepts are related and different visually.
They frequently serve to visually group objects while highlighting how they differ and how they are similar.
(I) All three papers
(G∪P∪T) = G + P+T+G∩P+G∩T+P∩T-(G∩P∩T)
290=142+181+117+75+60+54-(G∩P∩T)
(G∩P∩T)=39
(ii) exactly two of the papers = 60+75+54=189
(iii) exactly one of the papers =251
(iv) The Guardian alone =142.
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You work for a rock-climbing gym and need to purchase 330 feet of climbing rope to arrive in three days for an event. The online retailer SportsStuff.com charges $5.50 per yard of rope and offers free three-day shipping. The same rope at OutdoorHaven.com costs $5.20 per yard, plus a $12.25 rush delivery fee. What is the cheapest price you can pay for the rope you need for your gym?
Answers
Answer:pls brainly award
Step-by-step explanation:
The 330 feet of rope is equivalent to 330/3 = 110 yards.
The cost of the rope at SportsStuff.com is 110 * $5.50 = $605.
The cost of the rope at OutdoorHaven.com is 110 * $5.20 + $12.25 = $604.45.
Therefore, the cheapest price you can pay is $604.45.
Solve for x Inscribed Angles.
Answers
The value of x is approximately 3.875.
What is inscribed angle and solve x?Given that angle JKL is inscribed in a circle and the measure of angle JKL is (16x-2)°, we can use the property of inscribed angles to find x. Inscribed angles that subtend the same arc have equal measure.
Let's call the measure of angle JKL "m". Then, the measure of angle JKL = m, the measure of angle KJL = m, and the measure of angle JLK = m.
The sum of the angles in a triangle is 180°, so we have:
m + m + m = 180°
3m = 180°
m = 60°
Substituting the value of m into the equation for the measure of angle JKL:
60° = (16x - 2)°
60 = 16x - 2
62 = 16x
x = 3.875
So, the value of x is approximately 3.875.
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NO LINKS!!!!
A city government has approved the construction of an $800 million sports arena. Up to $480 million will be raised by selling bonds that pay simple interest at a rate of 7% annually. The remaining amount (up to $640 million) will be obtained by borrowing money from an insurance company at a simple interest rate of 2%. Determine whether the arena can be financed at the annual interest rate is $32 million.
The arena should be financed by selling $________ million in bonds and borrowing $__________ million.
Answers
The arena should be financed by selling $ 320 million in bonds and borrowing $ 480 million.
==========================================================
Work Shown:
x = amount (in millions of dollars) from bonds at 7% interest rate.y = amount (in millions of dollars) borrowed at 2% interest rate.Something like x = 27 means "27 million dollars of bonds were sold".
The variable x has the restriction of [tex]0 \le x \le 480[/tex] since $480 million is the ceiling for the bonds.
The variable y has the restriction of [tex]0 \le y \le 640[/tex] since $640 million is the ceiling for the money borrowed from the insurance company.
The two amounts, x and y, must add to 800 to represent the $800 million total that needs to be raised.
x+y = 800
y = 800-x
-------------------
Let's calculate the interest for each item. Use the simple interest formula.
Bonds at 7% interest rate:
i = P*r*t
i = x*0.07*1
i = 0.07x
Borrowed money at 2% interest rate:
i = P*r*t
i = y*0.02*1
i = 0.02y
Total annual interest = 0.07x+0.02y = 32
The 32 at the end represents the $32 million of interest payout. This amount of money is paid to the bondholders and to the insurance company, and is done so yearly.
-------------------
Apply substitution to solve for x.
0.07x+0.02y = 32
0.07x+0.02(800-x) = 32 ...... plug in y = 800-x
0.07x+16-0.02x = 32
0.05x+16 = 32
0.05x = 32-16
0.05x = 16
x = 16/(0.05)
x = 320
They should sell $320 million in bonds.
320 million = 320,000,000
Note how x = 320 is in the interval [tex]0 \le x \le 480[/tex]
y = 800-x
y = 800-320
y = 480
They should borrow $480 million at an interest rate of 2%
480 million = 480,000,000
Note how y = 480 is in the interval [tex]0 \le y \le 640[/tex]
Answer:
The arena should be financed by selling $320 million in bonds and borrowing $480 million.
Step-by-step explanation:
Simple interest is calculated by multiplying the principal by the interest rate (in decimal form) and the time (in years).
Let x be the amount raised by selling bonds that pay an annual simple interest rate of 7%.
Therefore:
Interest = 0.07x
As the total cost of the sports arena is $800 million, the amount raised from borrowing money from the insurance company at an annual simple interest rate of 2% is (800 - x). Therefore:
Interest = 0.02(800 - x)To determine whether the arena can be financed so that the annual interest is $32 million, equate the sum of the two expressions for interest to 32 and solve for x:
[tex]\implies 0.07x+0.02(800-x)=32[/tex]
[tex]\implies 0.07x+16-0.02x=32[/tex]
[tex]\implies 0.05x+16=32[/tex]
[tex]\implies 0.05x=16[/tex]
[tex]\implies x=320[/tex]
As x is the amount raised by selling bonds, then the amount in bonds that should be sold is $320 million.
To calculate the amount to borrow, subtract the amount in bonds sold from $800 million:
[tex]\implies 800-320=480[/tex]
Therefore, the amount to be borrowed from an insurance company is $480 million.
As both these amounts are less than the maximum limits set, they are both valid.
A concave polygon will have at least one diagonal drawn outside the polygon.
True or False
Answers
Answer: False.
Step-by-step explanation:
A concave polygon is a polygon that has at least one interior angle greater than 180 degrees. This means that the polygon has a "cave" or indentation on its interior. However, the fact that a polygon is concave does not automatically mean that one of its diagonals will be drawn outside the polygon. Whether a diagonal is drawn inside or outside the polygon depends on the specific arrangement of the vertices, and cannot be determined solely based on the fact that the polygon is concave.
An on-line graphic novel and comic book retailer charges shipping costs according to the following formula
Answers
The graph will be piecewise. Then the graph of the function is given below.
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 function is given below.
S(n) = 0.50n + 3.5, if 1 ≤ n ≤ 14
S(n) = 0 , if n ≥ 15
The graph will be piecewise. Then the graph of the function is given below.
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You own Company X. When you started the company, you Initially invested $12,000. You also borrowed $12,000 through a five-year (long-term) loan, of which you have paid back $2,018. You have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment. The company owns land and a building worth $8,878 and equipment worth $4,230. As of today, the company has $8,250 in cash, $1,225 in Inventory, and is due to receive accounts worth $675. However, the company owes its suppliers $485 and has a $500 loan to pay off in the next six months.
Answers
The equity of Company X's is $13,291.
What is the equity?The difference between assets and liabilities is the equity.
The equity is the portion of assets belonging to the owners.
Analysis:Initial investment = $12,000
Retained Earnings = $1,291
Long-term loan = $9,982 ($12,000 - $2,018)
Land and building = $8,878
Equipment = $4,230
Cash $8,250
Inventory = $1,225
Accounts Receivable = $675
Accounts Payable = $485
Short-term loan = $500
Company X
Balance SheetAs of current date
Current Assets:Cash $8,250
Inventory 1,225
Accounts Receivable 675 $10,150
Long-term Assets:Long-term investment $1,000
Land and building 8,878
Equipment 4,230 $14,108
Total Assets $24,258
Current Liabilities:Accounts Payable $485
Short-term loan 500 $985
Long-term Liabilities:Long-term loan $9,982
Total liabilities $10,967
Equity:Initial capital $12,000
Retained earnings 1,291 $13,291
Total liabilities and equity $24,258
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Question Completion:Determine Company X's equity?
Three straight lines are shown in the diagram. Work out the sizes of angles a,b and c.
15 points to whoever gets this by the way.
Answers
Answer:
see below
Step-by-step explanation:
a=50 because it's cut out of a full circle = 360, and it tells you what's left = 310
so 360-310=50
Write a set of 12 digits so the 5/12 of them are less than 3.
Answers
Answer:
Answer: 0, 1, 1, 2, 2, 4, 5, 6, 7, 0, 8, 9
Step-by-step explanation:
1. Start by writing five digits less than 3: 0, 1, 1, 2, 2
2. Then write four digits greater than 3: 4, 5, 6, 7
3. Finally, add three more digits of any value: 0, 8, 9
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without
replacement and the entire batch is accepted if every item in the sample is okay. The ABC Electronics
Company has just manufactured 1650 write-rewrite CDs, and 60 are defective. If 3 of these CDs are randomly
selected for testing, what is the probability that the entire batch will be accepted?
Rounded to four decimal place accuracy.
Submit Question
Answers
Therefore , the solution of the given problem of probability comes out to be likelihood that the full batch will be approved is therefore 0.832.
What does the probability procedure entail in detail?Probability theory is an area of mathematics that focuses on calculating the probability that a claim is accurate or that a particular occurrence will occur. Chance can be represented by any number range between 0 and 1, where 1 often denotes certainty and 0 typically denotes possibility. A probability diagram shows the possibility that a specific event will occur. The numerals 0 and 1, fractions with a ranging of 0% to 100%, or a few more characters can all be used to indicate probabilities.
Here,
Given that we've done it
Amount of CDs: 2100
50 faulty CDs total.
If every component of the sample is acceptable, the complete batch is accepted.
Therefore, we shall apply the "Binomial Theorem"
If there is no flaw, let p be the likelihood of success.
So, => p = 2100 - 50 / 2100
=> p = 2050/2100
=> p =0.97
q is the likelihood of a failure, or defect.
So,
=> q = 50/2100
=> q = 0.02
hence, the number of CDs chosen is 6.
Consequently, it is => P(X=6) = (0.97)6 = 0.832.
The likelihood that the full batch will be approved is therefore 0.832.
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Given the following composite figures, d=8.6 cm and w=12.5 cm. What is the perimeter of the figure?
Answers
a. The perimeter of the figure is: 61.4 cm
b. The area of the figure is: 160.69 cm²
How to Find the Perimeter and Area of a Figure?The figure consists of two semicircles which makes one full circle and a rectangle. Therefore:
a. The perimeter of the given figure = circumference of a circle + 2w.
d = 8.6 cm
Circumference of the circle = 2 * pi * r = 2 * 3.14 * (8.6/2) = 27.00 cm
Perimeter = 27.00 + 2(17.2)
Perimeter = 61.4 cm
b. Area = area of circle + area of rectangle = 2πr + (length * width)
r = 7.9/2 = 3.95 cm
length = w = 17.2 cm
width = d = 7.9 cm
Area = 2*3.14*3.95 + (17.2*7.9) = 160.69 cm²
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What is the least number that two whole numbers can have as the LCM? A. the greater of the two numbers the lesser of the two numbers B. C. the product of the two numbers D. the sum of the two numbers
Answers
Answer:
b
Step-by-step explanation:
:)
A construction worker earned $17 per hour for the first 40 hr of work and $25.50 per hour
for work in excess of 40 hr.
(a)Write a function to model her weekly pay W in terms of the number of hours she
worked that week.
(b) One week she earned $896.75. How much overtime did she work?
Answers
Answer:
Step-by-step explanation:
W(40)x25
Murthy has a rectangular wooden box whose length is 7m and breath is 5m. He want to cover the top surface of it with a nice cloth. The cost of the cloth is 50 per sq.m.
Answers
The cost of the cloth to cover the top surface of the box is 1,750.
What are rectangles?The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
Given the rectangular wooden box,
length = 7 m
breadth = 5 m
the top surface of the box is in the shape of a rectangle, to cover the surface with cloth we need to calculate the area of the surface to find the total cloth needed to cover,
area of rectangle = l*b
l = length, b = breadth
A = 7*5
A = 35 m²
area of the cloth needed is 35 m²
cost of 1 square meter = 50
cost for 35 m² cloth = 50*35
cost for 35 m² cloth = 1,750
Hence the required cost is 1,750.
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Mathmatics for Calculus
Answers
This is a problem finding the slope of a line at some point "a"
It accomplishes this by doing an average rate of change formula over an area approaching 0.
We must know the format of this type of equation.
See first image.
The variables in this example don't match up.
Let the function input be x, and the limit being a --> 0
a = 2
f(x) = x^5
Answer:
[tex]\displaystyle{f(x)=x^4 \ \: \text{and} \ \: a =2}[/tex]
Step-by-step explanation:
The first principal of derivative:
[tex]\displaystyle{f'(x) = \lim_{h\to 0} \dfrac{f(x+h)-f(x)}{h}}[/tex]
Since the given problem represents f'(a), meaning:
[tex]\displaystyle{f'(a) = \lim_{h\to 0} \dfrac{f(a+h)-f(a)}{h}}[/tex]
If we compare:
[tex]\displaystyle{f'(a) = \lim_{h\to 0} \dfrac{f(a+h)-f(a)}{h}}[/tex]
and
[tex]\displaystyle{ \lim_{h\to 0} \dfrac{(2+h)^4-16}{h}}[/tex]
which can be rewriten as:
[tex]\displaystyle{f'(a) = \lim_{h\to 0} \dfrac{(2+h)^4-2^4}{h}}[/tex]
We can conclude by comparing that:
a = 2f(2) = 2⁴This would mean that:
[tex]\displaystyle{f(x)=x^4}[/tex]
Therefore:
[tex]\displaystyle{f(x)=x^4 \ \: \text{and} \ \: a =2}[/tex]
12. Which of the following graphs would represent the solution set for y < 6x – 2?
Answers
Answer:
YOUR ANDWER MIGHT BE D
Step-by-step explanation:
Solve the following system of equations algebraically. Be sure to show each step of your work.
y = 2x² - 5x+9
y = 2x² + 5x - 1
Answers
The solution of system of equations x is 1 and value of y is 6.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The system of equations are y = 2x² - 5x+9 and y = 2x² + 5x - 1
Subtract both the equations
y-y=2x² - 5x+9 -2x² - 5x +1
0=-10x+10
10x=10
Divide both sides by 10
x=1
Now plug in x value in any of the equation.
y=2(1)² - 5(1)+9
y=2-5+9=6
Hence, the solution of system of equations x is 1 and value of y is 6.
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A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round your final
answer to four decimal places and intermediate z-value calculations to two decimal places
Answers
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:
0.5874 = 58.74%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters for this problem are given as follows:
[tex]\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953[/tex]
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
Z = (18.1 - 17.2)/0.3953
Z = 2.28
Z = 2.28 has a p-value of 0.9887.
Z = (17.1 - 17.2)/0.3953
Z = -0.25
Z = -0.25 has a p-value of 0.4013.
Hence:
0.9887 - 0.4013 = 0.5874 = 58.74%.
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In ΔKLM, k = 2.6 inches, m = 5.8 inches and ∠M=28°. Find all possible values of ∠K, to the nearest 10th of a degree.
Answers
The measure of the angle K is equal to 12.2° approximately to the nearest tenth, using the sine rule.
What is the sine ruleThe sine rule is a relationship between the size of an angle in a triangle and the opposing side.
For the triangle KLM, by sine rule;
k/sinK = m/sinM = l/sinL
We first derive the angle K as follows:
5.8/sin28° = 2.6/sinK
sinK = (2.6 × sin28°)/5.8
sin K = 0.2105
K = sin⁻¹(0.2105)
K = 12.1517
Therefore, the measure of the angle K is equal to 12.2° approximately to the nearest tenth, using the sine rule.
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A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used
for each serving, how many servings can be made from two quarts?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup
8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of
servings for?
Answers
The servings that can be made from two quarts is 24
How many servings can be made from two quarts?To convert the recipe's milk measurement from cups to quarts,
We first need to determine how many cups are in a quart.
There are 4 cups in a quart.
So, 3 cups of milk is equivalent to
3 / 4 = 0.75 quarts of milk.
Since the recipe uses 0.75 quarts of milk to make 9 servings,
Then each serving uses 0.75 / 9 = 0.083 quarts of milk.
Now, 2 quarts of milk is equivalent to 2 / 0.083 = 24 servings.
Therefore, from two quarts of milk, 24 servings can be made using this recipe.
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Lilianna uses
3
4
4
3
start fraction, 3, divided by, 4, end fraction calories per minute just by sitting. She uses
1
11 more calorie per minute by walking. Lilianna uses a total of
12
1
4
12
4
1
12, start fraction, 1, divided by, 4, end fraction calories walking to the park.
Lilianna uses the equation,
�
(
3
4
+
1
)
=
12
1
4
d(
4
3
+1)=12
4
1
d, left parenthesis, start fraction, 3, divided by, 4, end fraction, plus, 1, right parenthesis, equals, 12, start fraction, 1, divided by, 4, end fraction to represent the situation.
What does the variable
�
dd represent in the equation?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Calories per minute Lilianna uses walking
(Choice B)
B
Number of calories Lilianna would have used sitting
(Choice C)
C
Number of minutes Lilianna walked
Answers
Lilianna spend d= 7 minutes total to the park. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is d(3/4+1)=12 1/4.
Now, d(3/4+1)= 49/4
d(7/4)=49/4
d=49/4 ×4/7
d= 7
Thus, she spent d= 7 minutes total in the park.
Therefore, option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?
Help
Problems 3.1–3.2
Starting at noon, the temperature changed steadily at a rate of −0.8°C every hour.
At 3 p.m., the temperature was −2.5°C.
What was the temperature at noon?
Answers
The temperature at noon is equal to -0.1°C.
What is the slope-intercept form?Mathematically, the standard form or slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Note: Let x represent the time.
Next, we would write an equation that models the situation based on the rate of change (slope) and y-intercept (initial value) as follows;
y = mx + c
y = -0.8x - 2.5
y = -0.8(3) - 2.5
y = -2.4 - 2.5
y = -0.1°C
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The table shows the number of game tickets and the number of ride tickets purchased by 3 friends at a state fair. Complete the table to determine the total amount spent on tickets by Edgar.
Answers
The total amount spent on tickets by Edgar is $15.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Let x be the cost of one game ticket and y be the cost of one ride ticket.
From the table, we can form two linear equations regarding the total amount spent by Erica and Penny.
10x + 5y = 10
15x + 10y = 16.25
Multiplying the first equation throughout with 2,
20x + 10y = 20
Subtracting 15x + 10y = 16.25 from the above equation,
(20x + 10y) - (15x + 10y) = 20 - 16.25
5x = 3.75
x = 0.75
Substituting x = 0.75 in 10x + 5y = 10,
7.5 + 5y = 10
5y = 2.5
y = 0.5
Cost of a game ticket is $0.75 and cost of a ride ticket is $0.50.
Total cost by Edgar = (12 × 0.75) + (12 × 0.5) = $15
Hence the total money spent by Edgar for both game and ride tickets is $15.
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Identify the range of the relation. {(8,-11), (12, -4), (16, 3), (20, 10)}
Answers
Answer:
The range is -11,-4,3,10
Step-by-step explanation:
what is
5
1/2 plus
2
1/7
A.7 2/9
B.7 5/14
C.7 3/7
D.7 9/14