The solution of the Equation is x=1 and y= -3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
-3x + 7y = -18...........(1)
4x - 4y = 8.................(2)
Solving equation (1) and (2) we get
-12x + 28y = -72
12x - 12y = 24
____________
16y = -48
y= -48/ 16
y = -3.
and, -3x + 7(-3) = -18
-3x = 3
x= -1
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OPEN-ENDED Write an algebraic expression using more than one
operation. When you evaluate the expression, how do you know
which operation to perform first?
Answer:
9(4+5)-16=
Explanation:
P (parenthesis) E (exponents) M (multiply) D (divide) A (add) S (subtract)
HOPE THIS HELPS
The scores from a 20 point algebra quiz are shown.
18, 10, 17, 19, 13, 9, 7, 12, 20, 15
The percentile of a test score can be defined as the percent of test scores less than or equal to that test score
Use this definition to find the percentile of the test score 12
The test score 12 is at the ___th percentile
Answer:
Percentile = 90
Therefore, the test score 12 is at the 90th percentile.
Step-by-step explanation:
Percentile = (Number of scores less than or equal to score) / (Total number of scores) * 100
Percentile = (9) / (10) * 100
Answer:
Percentile = 90Therefore, the test score 12 is at the 90th percentile
Percentile = (Number of scores less than or equal to score) / (Total number of scores) * 100Percentile = (9) / (10) * 100Step-by-step explanation:
a)2/5 t=6
t=___
b)-4.5= a-8
a=___
c) 1/2+p=3
p=___
d)-12=-3y
x=___
Solving the equations for each given variables, we have:
a. t = 15
b. a = 12.5
c. p = 5/2
d.
y = 4
How to Find the Value of a Variable in an Equation?Finding the value of a variable in an equation involves solving the equation for that variable. This process typically involves several steps, including isolating the variable on one side of the equation, using inverse operations to simplify the expression, and substituting known values into the equation to find the value of the variable.
Therefore:
a. 2/5t = 6
Multiply both sides by 5/2:
t = 6 * 5/2
t = 15
b. -4.5 = a - 8
Add 8 to both sides:
-4.5 + 8 = a
12.5 = a
a =12.5
c. 1/2 + p = 3
p = 3 - 1/2
p = 5/2
d. -12 = -3y
-12/-3 = y
4 = y
y = 4
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Aubrey opened a savings account and deposited $100.00. The account earns 2% interest, compounded annually. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike? nt P(1 + 2)", where A is the balance (final amount), P is the principal Use the formula A = P (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.
In 3 years, Aubrey will be able to spend $106.08 on a new bicycle.
To find out how much Aubrey will be able to spend on the bike in 3 yearsFirst we can use the formula for compound interest:
A = P * (1 + r/n)^(nt)
Where:
A = final amount (balance)
P = principal (starting amount) = $100.00
r = interest rate as a decimal = 2% = 0.02
n = number of times per year that the interest is compounded = 1 (annually)
t = time in years = 3
Plugging in these values, we get:
A = $100.00 * (1 + 0.02/1)^(1 * 3)
A = $100.00 * (1.02)^3
A = $100.00 * 1.0608
A = $106.08
Therefore, in 3 years, Aubrey will be able to spend $106.08 on a new bicycle.
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Download
Stations - Applicatio....pdf
2.) If you add Ginger and her
grandmother's
ages together it
would be 66. Her grandmouer
is ten times older than Ginger.
What are the ages of each
person?
Answer:
Step-by-step explanation:
Let us consider the Ginger to be x years old.
Therefore, her grandmother will be 10x years old(10 times Ginger's age)
So,
10x+x=66
(adding both Ginger and her grandmother's age)
11x=66
(adding x and 10x)
x=66/11
x=6
Ginger's age is 6.
Her grandmother is 10 times her age.
Therefore she is 60 years old.
I need help ASAP pls!!!!
I need the rest of the steps!!
Answer:
how can I help you when I don't know the steps
MATHHHHH help plesss
Answer:
c = 13
Step-by-step explanation:
We can solve for c using an equation that models the sum of the interior angles of a triangle.
The interior angles of a triangle add to 180º. Therefore, we can construct the equation:
90 + (3c - 1) + 52 = 180
Then, we can solve for c algebraically.
(3c - 1) = 180 - 90 - 52
3c - 1 = 38
3c = 38 + 1
3c / 3 = 39 / 3
c = 13
Describe the problem of acid rain. How can this problem be solved? why does this work?.
Acid rain is the acidic rain that produce due to the mixture of sulhuric and nitric acid with rain water. The problem is solved by using renewable resources that reduces the pollution and the emission of acidic pollutants.
Acid RainAcid rain, or acid deposition, is a broad term that includes any form of precipitation with acidic components, such as sulfuric or nitric acid that fall to the ground from the atmosphere in wet or dry forms. This can include rain, snow, fog, hail or even dust that is acidic.
solution of acid rainA great way to reduce acid rain is to produce energy without using fossil fuels. Instead, people can use renewable energy sources, such as solar and wind power.
Renewable energy sources help reduce acid rain because they produce much less pollution.
Filter and detoxify the water used by the factories before returning it to the rivers.
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What is 46 kg in lbs ?
Answer: 101.41 lbs.
Step-by-step explanation:
46 kilograms can be converted to pounds by multiplying the number of kilograms by 2.20462.
So, 46 kg = 46 * 2.20462 = 101.41 lbs.
If you spin the spinner 75 times, how many 2’s? (Note: Spinner has 5 spots ranging from 1-5)
If you spin the spinner 75 times, the expected number of 2's is 15.
About probabilitySince the spinner has 5 spots ranging from 1-5, the probability of getting a 2 on any given spin is 1/5.
Therefore, if you spin the spinner 75 times, the expected number of 2's is: (1/5) * 75 = 15
So, if you spin the spinner 75 times, you can expect to get 15 2's.
Probability itself has a number from 0 to 1.
The probability value is 0 (zero) for an event that is impossible or unlikely to occur, for example, cows laying eggs.
While the probability value of 1 (one) is an event that will definitely occur, such as the change between day and night.
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Events A and B are independent, P(A)=P(B) and P(A∪B)=0.63 . Find P(B) .
Answer:
the probability of event B is approximately 0.48.
Step-by-step explanation:
P(A) = P(B) (given)
P(A∪B) = P(A) + P(B) - P(A∩B) (probability rule for the union of two events)
Since events A and B are independent, we know that P(A∩B) = P(A) × P(B).
Substituting the given values, we get:
0.63 = P(A) + P(B) - P(A) × P(B)
Since P(A) = P(B), we can substitute P(B) for P(A):
0.63 = 2P(B) - P(B)^2
Rearranging this equation, we get:
P(B)^2 - 2P(B) + 0.63 = 0
This is a quadratic equation that we can solve using the quadratic formula:
P(B) = [2 ± sqrt(4 - 4×0.63)] / 2
P(B) = [2 ± sqrt(1.48)] / 2
P(B) ≈ 1 or P(B) ≈ 0.48
Since probabilities must be between 0 and 1, we can discard the solution P(B) = 1, and the only possible solution is:
P(B) ≈ 0.48
Therefore, the probability of event B is approximately 0.48.
You invest $500 in an account that has an annual interest rate of 8% compounded weekly for 12 years what is the equivalent interest-rate and how many times will money be compounded how much will you have?
What is the probability that the web site has fewer than 5 million visitors in a single day? if needed, round your answer to four decimal digits.
Answer:
Step-by-step explanation: daddy
5. Name the angle that is supplementary to COD.
A
F
OZCOA
O ZBOC
OLCOB
O ZBOA
B
O
۶,
D
(1 point)
Answer: D
Step-by-step explanation:
D. OLCOB. This angle is supplementary to COD because the two angles add up to 180°. OLCOB has a measure of 180° - 90° = 90°, which is supplementary to the 90° measure of COD.
The area of a square is one third the area of a triangle. If the base of the triangle and a side of the square are equal, what is the ratio of the height of the triangle to the side of the square ?.
The ratio of the height of the triangle to the side of the square is 6.
A triangle is a three-sided polygon with three vertices and three angles. Triangles can have different shapes and sizes, including equilateral, isosceles, and scalene triangles.
Let's call the side of the square x. Since the base of the triangle is equal to the side of the square, we can use x for both. The area of the square can then be found by x² and the area of the triangle can be found by (x)(h)/2, where h is the height of the triangle.
We know that the area of the square is one-third the area of the triangle, so we can set up an equation:
x² = (1/3)(x)(h)/2
Expanding the right side of the equation:
x² = (1/3)(xh)/2
Now we can isolate the height of the triangle by multiplying both sides by 6 and dividing by x:
6x² = (xh)
Finally, we can divide both sides by x to find the ratio of the height of the triangle to the side of the square:
6x = h
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How would you make an equation of a linear function if it starts at 1127 and goes up 92 every hour
The solution is given below.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
Consider that on a coordinate plane-xy, the x-values increase from left to right, and y-values increase from bottom to up.
Given that the linear graph passes through (1,1).
It is given that the graph goes 3 units up for every 2 units right. This can also be understood as the graph goes 3 units down for every 2 units left.
From the point (1,1), the x-value corresponding to 2 units left is given by,
x=1-2
x= -1
Similarly, from the point (1,1), the y-value corresponding to 3 units down is given by,
y = 1 - 3
y= -2
So the point (-1,-2) must also lie on the same linear graph.
Therefore, option (b) is the correct choice.
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What does Cronbach's alpha calculate?
Cronbach's alpha calculates the internal consistency of a set of variables or items in a questionnaire or test, indicating how reliably they measure the same construct.
Cronbach's alpha is a measure of reliability used in psychometrics to assess the consistency or homogeneity of a set of items in a questionnaire or test designed to measure a specific construct or trait. It calculates the degree of correlation among the items and indicates the extent to which they measure the same underlying concept. A high alpha value (usually ranging from 0 to 1) indicates strong internal consistency and suggests that the items are measuring the same construct in a reliable manner. Researchers use Cronbach's alpha to evaluate the quality of a test or questionnaire and to determine whether it is suitable for the intended purpose.
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Seven subtracted from fives times a number, and then the difference added to nine times a number.
Step-by-step explanation:
Let n= The first number
Let x= The second number
(5n-7)+9x
This is if the number are different numbers.
If they are the same:
Let n= a number
(5n-7)+9n=
7n-7
The circumference of a circle is 100.48 kilometers. What is the circle's radius? use 3.14
The radius of a circle with a circumference of 100.48 kilometers is equal to 32 kilometers.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr
Where:
C represents the circumference of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, we have the following;
100.48 = 3.14r
Radius, r = 100.48/3.14
Radius, r = 32 kilometers.
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Help me please I need someone’s help on this hmh
Note that the area of the smaller square will be depicted by: 20inches.
What is the rationale for the above response?Area of the larger square - Area of the 4 Right Angled Triangles
Since the Area of the larger square = is 36inches; and
Area of the one of the Right Angled Triangles = 4inches
Thus, the Boxes will be completed as follows;
[36in] - (4) [4] or [20in]
Since
36 - 16 = 20 inches.
Note that a square is a closed two-dimensional form having four equal sides and four vertices. Its opposing sides are perpendicular to one other. A square can alternatively be thought of as a rectangle with equal length and width.
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PLEASE HELP
Solve each system of equations algebraically.
The solution to the system of equation y = x + 12 and y = (1/2)x is (-24,-12).
What is the solution to the system of equation?Given the system of equation in the question;
y = x + 12
y = (1/2)x
To solve the system of equation, first plug equation to into equation one and solve for x.
y = x + 12
Plug in y = (1/2)x
(1/2)x = x + 12
Multiply each term by 2
2(1/2)x = 2x + 2(12)
x = 2x + 24
x - 2x = 2x - 2x + 24
x - 2x = 24
-x = 24
x = -24
Now, plug x = -24 into equation two and solve for y.
y = (1/2)x
Plug in x = -24
y = (1/2)( -24 )
y = -24/2
y = -12
Therefore, the value of x is -24 and y is -12.
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A restaurant has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2. 5 feet in size. The height is 4 feet. How many square feet of glass was used in making this aquarium? ***hint---where is the glass part of the aquarium?***.
45 square feet of glass was used in making this aquarium.
A region's size on a surface is determined by its area. The term "surface area" refers to the area of an open surface or the perimeter of a three-dimensional object, whereas "plane area" refers to the area of a shape or planar lamina.
The base of the aquarium is 6 feet by 2.5 feet, so its area is 6 x 2.5 = 15 square feet.
Since the aquarium is a rectangular prism, it has three sides that are the same size as the base. So, each of the three sides has an area of 15 square feet.
Therefore, the total area of glass used in making the aquarium is 3 x 15 = 45 square feet.
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. Write an equation of a line that does not have an x-intercept. The equation of a line is y= 3.6x + 2.
The equation of a line that does not have an x intercept is y = 3.
What is x intercept?x intercept of a line is the x coordinate of a point where the line touches the X axis. y coordinate of that point will be 0.
x intercept will be of the form (x, 0).
Every line will touch the X axis at any point.
The only line that will not touch X axis at any point will be the line parallel to the X axis.
Equation of a line parallel to the X axis is of the form y = k, where k is a constant.
Let k = 3.
So y = 3 has no x intercept.
Hence the line y = 3 does not have an x intercept.
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What is the perimeter of a regular dodecagon with a side length of 5√6 inches?
A. 50√6 inches
B. 60√6 inches
C. 60√30 inches
D. 360√2 inches
E. 55√6 inches
The perimeter of a regular decagon with sides 5√6 is 50√6 ( option A)
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
The perimeter of a shape is obtained by adding all the sides together.
Therefore, if one side is 5√6 inches, a decagon which is of 10sides will have 5√6 inches at all it's sides because it is a regular polygon.
Therefore P= 5√6 × 10
P = 50√6 inches.
therefore the perimeter of the decagon is 50√6 inches
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Explain how a shaded line means that fractions, decimals, and numbers not labeled
on a number line can be part of the solution to an inequaliy
Answer:
In a sense, negative numbers could be related to decimals because place values of decimal digits involve taking 10 to negative powers. However, negative numbers do not have to be decimals (for example, -3) and decimals do not have to be negative numbers (for example, 0.2).
Answer:
23456trrytugfygtuh
Step-by-step explanation:
Pleaseee help now please help nowwww
The length of JM is given as follows:
JM = 16.875.
What are similar polygons?Similar polygons are polygons that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.The polygons for this problem are similar, hence the proportional relationship for the segment lengths is given as follows:
16/15 = JM/18
Then the length of JM is obtained applying cross multiplication as follows:
16JM = 15 x 18
JM = 15 x 18/16
JM = 16.875.
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What is height of 165 cm?
The height of 165 cm is equivalent to 1.65 meters or 5 feet 5 inches.
This is a measurement of length or distance that is commonly used to describe the height of a person or object.
To convert centimeters to meters, you can simply divide the number of centimeters by 100. In this case, 165 cm divided by 100 gives you 1.65 meters.
To convert centimeters to feet and inches, you can first divide the number of centimeters by 2.54 to get the number of inches. Then, you can divide the number of inches by 12 to get the number of feet and the remainder will be the number of inches.
In this case, 165 cm divided by 2.54 gives you 64.96 inches. Dividing 64.96 inches by 12 gives you 5 feet with a remainder of 4.96 inches, which can be rounded to 5 inches.
So, the height of 165 cm is equivalent to 1.65 meters or 5 feet 5 inches.
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Write the other side of this equation so it has MANY solutions.
6x - 5 =
Answer:
6x - 5 = 6x - 5
Step-by-step explanation:
If we have the same quantity on both sides of the equation, then the equation becomes an identity — an equation that is true for any value of the present variables.
If we set 6x - 5 equal to 6x - 5, then there are infinite solutions.
For example,
when x is 3:
6(3) - 5 = 6(3) - 5
18 - 5 = 18 - 5
13 = 13 ✔
when x is 5:
6(5) - 5 = 6(5) - 5
30 - 5 = 30 - 5
25 = 25 ✔
7 1/3 divided by 1 2/9
Answer:
6
Step-by-step explanation:
7 1/3 ÷ 1 2/9
7 1/3 = 22/3
1 2/9 = 11/9
22/3 ÷ 11/9
= 22/3 x 9/11
= 198/33
= 66/11
= 6
I REALLY NEED HELP
How do you know when anexpression is in its simplest form?
An expression is in its simplest form when it can no longer be simplified or reduced any further.
What happens when an expression is in its simplest form ?When an expression is in its simplest form , it means that it has been reduced to its most basic and concise form, with no unnecessary terms or factors.
This makes it easier to evaluate and work with the expression . In some cases , the simplest form of an expression may also reveal certain properties or relationships that were not immediately apparent in its original form.
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