Variable y varies directly with variable x. If x = 12, then y = 3. What is the value of y
when x = 8?

Answers

Answer 1

Answer:

y = 2

Step-by-step explanation:

To find the value of y when x = 8 we must first find the relationship between the two variables.

The statement

y varies directly with variable x is written as

y = kx

where k is the constant of proportionality

when

x = 12

y = 3

Substitute the values into the above formula and solve for k

That's

3 = 12k

Divide both sides by 12

[tex]k = \frac{1}{4} [/tex]

So the formula for the variation is

[tex]y = \frac{1}{4} x[/tex]

when

x = 8

[tex]y = \frac{1}{4} \times 8[/tex]

we have the final answer as

y = 2

Hope this helps you


Related Questions

A dealer sold a painting for $800. She made a profit of 25% on the price she paid for it. Calculate the price she paid for the painting.

Answers

Answer:

I may be wrong, but I believe the answer is $200.

What is the value of the expression below when x=4x=4? 7x^2 +8x-7 7x 2 +8x−7

Answers

Answer: 137

Step-by-step explanation:

The given expression: [tex]7x^2 +8x-7[/tex]

We need to find the value of the expression when x=4.

So we just use the substitution property and substitute the value of x= 4 in the given expression , we get

[tex]7(4)^2+8(4)-7\\\\= 7(16)+32-7\\\\= 112+25\\\\=137[/tex]

Hence, the value of the expression at x=4 is 137.

Bill claims that he found the actual December temperature by adding either -5+3 or 3 +-5.
What property did Bill use?

Answers

Inverse!!!!!!!!!!!!!!!!

Answer: Commutative property of addition

This is the idea that x+y is the same as y+x

We can add any two numbers in any order we want.

Other examples:

2+3 = 5 and 3+2 = 5

7+2 = 9 and 2+7 = 9

please help, thank you!!

Answers

Answer: 3. x>-1

Step-by-step explanation:

First, the dot is a open circle, which means the sign should be (> or <)

Which only 3 and 4 fits

Second, the line is going to the right, which mean it is greater than the starting value.

So it should be x>-1

Hope this helps!! :)

Please let me know if you have any question

Step-by-step explanation:

Hey, there!

The answer is option C.

Because as number lines has started from -1 and went to right side which shows it is greator than-1.

So, the answer must be option c.

[tex]i.e x>-1

Hope it helps...

The word demographic comes from ancient Greece. Demos means people. Graphic means picture. Based on the video and this information, which thing below is most likely shown on a demographic map? countries, population, continents, or leaders

Answers

Answer:

Population

Step-by-step explanation:

If we know the root Demos means people and graphic means picture, let's put the english terms together.

Demo graphic

People graphic

So this is going to be a "People Graphic." So we know that Countries and Continents are ruled out.

Now I just used logic to figure out whether it's population or leaders. A map showing the leaders of something would be useless, but a map showing population is useful. So I assumed that a Demographic map shows population (I also looked it up to check, and yes this is right.)

Hope this helped!

Answer:

population

Step-by-step explanation:

people graphic

related to ppl so population

f(x)= -5x+9 ; reflection in the y-axis a.g(x)=5x-9 b.g(x)=5x+9 c.g(x)=9x-5 d.g(x)=5x-5

Answers

Answer: g(x) = 5x+9, second choice

Explanation:

When we reflect over the vertical y axis, every negative x value becomes positive and vice versa. So we effectively replace x with -x like so

f(x) = -5x+9

f(-x) = -5(-x)+9 ... replace every x with -x

f(-x) = 5x+9

g(x) = 5x+9

A point like (1,4) on f(x) will reflect over to (-1,4) on g(x). If we apply this to every point on f(x), then all of f(x) will reflect to g(x).

A copy shop charges $0.20 per photocopy for orders of up eight copies. Which graph represents this relation? ​

Answers

Answer:

D

Step-by-step explanation:

This would be a discrete graph  ( points) not a solid line.

This eliminates A and C

1 copy costs 20 cents

8 copies costs 1.60

The number of copies is the independent variable, so it should be plotted on the x axis

Answer:

The answer is D in this question, if you are on plato it may be different so just make sure the graph on choice d on here matches on your test

Step-by-step explanation:

Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)


Answers

Answer: 8n^4-8n^2-8n+5

Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points before the finish line and positive numbers to represent points after the finish line. On Jonas's map, there is a bridge at -91 \dfrac34−91 4 3 ​ minus, 91, start fraction, 3, divided by, 4, end fraction meters, and his wife is watching him at 14 \dfrac1214 2 1 ​ 14, start fraction, 1, divided by, 2, end fraction meters. What does 000 meters represent? Choose 1 answer: Choose 1 answer:

Answers

Answer:

(C)The finish line

Leslie was able to map \overline{ST} ST start overline, S, T, end overline onto \overline{QR} QR ​ start overline, Q, R, end overline using a rotation and dilation. Leslie concluded: "I was able to map \overline{ST} ST start overline, S, T, end overline onto \overline{QR} QR ​ start overline, Q, R, end overline using a sequence of rigid transformations, so the figures are congruent." What error did Leslie make in her conclusion?

Answers

The fact that Leslie used a dilation is where she made the mistake. A dilation either shrinks or enlarges a figure. So it made segment ST either larger or smaller to be able to fit to segment QR.

But congruent segments are always the same length. So there's no way that a dilation can be involved. Only rigid transformations of translations (aka shifting), reflections, and rotations are allowed. A dilation is not a rigid transformation.

Answer:

A

Step-by-step explanation:

took it on khan academy

What is 1 5/8 times 2 2/3

Answers

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]1\frac{5}{8}*2\frac{2}{3}=\frac{13}{8}*\frac{8}{3}\\\\\\=\frac{13}{3}\\\\\\=4\frac{1}{3}[/tex]

Answer:

4 1/3

Step-by-step explanation:

1 5/8 × 2 2/3

First we turn it into an improper fraction:

1 5/8 × 2 2/3 = 13/8 × 8/3

Now we multiply them across:

13/8 × 8/3 = 104/24

Now we simplify:

104/24 = 13/3

because 3 × 8 = 24 and 13 × 8 = 104

Now we simplify again because we can't leave it as an improper fraction. So we turn it into a mixed fraction:

13/3 = 4 1/3

4 1/3 is answer

Prove the Identity
[tex] {tan}^{2} x - {sin}^{2} x = {tan}^{2} x{sin}^{2} x[/tex]

Answers

Answer:

check pic

step-by-step explanation

check pic

Answer:

see below

Step-by-step explanation:

tan ^2 x -sin ^2 x = tan ^2x sin ^2x

tan = sin / cos

sin ^2 x / cos ^2 x -sin ^2 x = sin ^2 x / cos ^2 x * sin^2 x

Multiply each side by cos ^2

cos ^ x (sin ^2 x / cos ^2 x -sin ^2 x) = cos ^2 x(sin ^2 x / cos ^2 x * sin ^2x)

sin ^2 x  - cos ^2 x sin ^2 x = sin ^2 x  * sin ^2x

Factor out sin ^2 x

sin ^2 x(1  - cos ^2 x) = sin ^2 x  * sin^2 x

We know that 1 - cos ^2 x = sin ^2 x

sin ^2 x(sin ^2 x) = sin ^2 x  * sin^2 x

Given T (x,y) = (x+5,y+4) and the point P (2,3) what is T (P)

Answers

Answer:

(7, 7 )

Step-by-step explanation:

The translation rule

(x, y ) → (x + 5, y + 4 )

Means add 5 to the original x- coordinate and add 4 to the original y- coordinate, thus

(2, 3 ) → (2 + 5, 3 + 4 ) → (7, 7 )

Erin is pouring cake batter into a pan. The pan she is using is 8 inches wide,
11 inches long, and 7 cm deep. Erin has made 18 cups of cake batter.(1 cup =
14.44 cubic inches, 1 inch = 2.54 cm) What is the maximum volume, in cubic
inches, the cake pan can hold? (volume of a rectangle: volume-length x
width x height)

Answers

Answer:

242.52 cubic inches

Step-by-step explanation:

Volume of the cake pan = Length × Width × Height

From the about question, we have the following dimensions for the cake pan

8 inches wide = Width

11 inches long = Length

7 cm deep = Height

We are asked to find the maximum volume in inches. Hence all the dimensions have to be in inches.

Converting Height in cm to inches

From the question,

2.54 cm = 1 inch

7cm = x inch

Cross Multiply

2.54 × x = 7 × 1

x = 7/2.54

x = 2.7559055118 inches

Volume of the cake pan =

8 × 11 × 2.7559055118

= 242.51968504 cubic inches

Approximately, the volume of the cake pan = 242.52 cubic inches

What is the maximum volume, in cubic

inches, the cake pan can hold is 242.52 cubic inches

Select the equivalent expression.

Answers

Answer:

A. [tex]\huge \frac{7^{15}}{3^{30}}[/tex]

Step-by-step explanation:

[tex]\huge \bigg(\frac{3^{-6}}{7^{-3}}\bigg) ^5[/tex]

[tex] \huge =\bigg(\frac{7^{3}}{3^{6}}\bigg) ^5[/tex]

[tex] \huge =\bigg(\frac{7^{3\times 5}}{3^{6\times 5}}\bigg) [/tex]

[tex] \huge =\frac{7^{15}}{3^{30}} [/tex]

26 points with brainiest and 5 stars and thanks, please help! :[

Answers

Answer:

[tex]\Huge \boxed{{9}}[/tex]

Step-by-step explanation:

Let the age of Darrell be x.

Let the age of Bryce be y.

x = y + 8

xy = 153

Substitute x = y + 8 in the second equation.

(y+8)y = 153

Solve for y.

y² + 8y = 153

Subtract 153 from both sides.

y² + 8y - 153 = 0

Factor left side.

(y-9)(y+17) = 0

Set factors equal to 0.

y - 9 = 0, y = 9

y + 17 = 0, y = -17

The value of y has to be positive, so y = 9.

Substitute y = 9 in the first equation.

x = 9 + 8

x = 17

Darrell is 17 years old.

Bryce is 9 years old.

Answer:

[tex]\huge\boxed{9\ years}[/tex]

Step-by-step explanation:

Let Darrel's Age be x and Bryce's Age be y

Condition 1:

x = 8 + y

Condition 2:

xy = 153

Put the 1st equation in the second one

(8+y)y = 153

y²+8y-153 = 0

y²+17y-9y-153 = 0

y(y+17)-9(y+17) = 0

(y-9)(y+17) = 0

Either,

y-9 = 0   OR    y+17 = 0

y = 9       OR    y = -17 [Contrary to be given, Age can never be negative]

So, y = 9

And

Bryce's Age = 9 years

A company makes a profit of $7 per software program and $8 per video game. The company can produce at most 90 software programs and at most 80 video games per week. Total production cannot exceed 120 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.

Answers

Answer:

930 dollars

Step-by-step explanation:

Let software programs = S

Video game = V

Given that a company makes a profit of $7 per software program that is, 7S and $8 per video game that is, 8V. The company can produce at most 90 software programs and at most 80 video games per week. Since the Total production cannot exceed 120 items per week.

How many items of each kind should be produced per week in order to maximize the profit?

The to get profit P

P = 7S + 8V

Since the profit on video game is higher, we will give maximum production to video game. Therefore,

P = (30 × 7) + ( 8 × 90)

P = 210 + 720

P = 930 dollars

what is 75% of £60?​

Answers

Answer:

45

Step-by-step explanation:

75x60=4500

4500/100=45

Answer:

£45

Step-by-step explanation:

Take 75% of 60: [tex]\frac{75}{100}[/tex] × [tex]\frac{60}{1}[/tex] = [tex]\frac{4500}{100}[/tex]  To simplify, look at the denominator. There's a 100 in the denominator. And, 100 has two zeros at the end. In the numerator, we have 4500. 4500 has two zeros in the end as well. First, cancel out the two zeros in 100 to make it 1. Then, to make the fraction even, cancel out the two zeros in 4500 to make it 45. It should now look like this: [tex]\frac{45}{1}[/tex]. We know any number over 1 is itself. So, [tex]\frac{45}{1} = 45[/tex]  

Therefore, 75% of £60 is £45.

Can The intersection of two planes can be a ray.

Answers

Answer: Either the plane and the ray perfectly coincide in which case there is an infinity of solutions or the ray is away from the plane in which case there is no intersection. Generally in a C++ implementation, when the denominator is lower than a very small value, we simply return false (no intersection was found).

Step-by-step explanation:

Find y' if x = cos(y).

Answers

1. Solve for y (complex solution)

y=−iln(x2−1​+x)+2πn1​, n1​∈Z

y=−iln(−x2−1+x)+2πn2​, n2​∈Z

2. Solve for y (Easier)

y=−arccos(x)+2πn1​, n1​∈Z

y=arccos(x)+2πn2​, n2​∈Z, ∣x∣≤1

help me please ┗( T﹏T )┛┗( T﹏T )┛┗( T﹏T )┛┗( T﹏T )┛┗( T﹏T )┛┗( T﹏T )┛┗( T﹏T )┛(i will give brainly)

Answers

Answer:

a)  08:04

b)  07:00

c)  14 minutes

Step-by-step explanation:

a)  According to the timetable, a bus that leaves at 07:54 from Hope Street will arrive at School Rock at 08:04.

b)  Since Jo needs to be at the school at 8 am, she can't arrive at a time that is past 8.  This means that the latest time to catch the bus station is 07:00.

c)  You have to subtract the time at which you reach the destination by the time at which you leave your starting time.  It takes the bus 14 minutes to travel from the bus station to School Road.

07:14 - 07:00 = 00:14

The area of a rectangle is 36 units^2
The length is 9, and the width is Va.
What is the value of x?
What is the width of the rectangle?

Answers

Answer:

The width is 4

Step-by-step explanation:

the length times the with is the area

since the area is 36

9 times x = 36

so

since 9 x 4 = 36,

the width is 4

What is the inverse function of y = -5/3x - 8?

Answers

Use Desmos for the answer

Answer:

You can't graph inverse function on graphing calculator

Step-by-step explanation:

step 1 rewrite function f(x) --> y

step 2 change x and y's position

step 3 solve for y

step 4 replace Y with f-1(up to f) and (x)

Express 72 as a product of its prim factor​

Answers

Answer:

2 x 2 x 2 x 3 x 3 = 72


[MA5T10 F] Name the property being illustrated.
5(25 + 5) = (5 x 25) + (5 x 5)
A) Equality Property
B) Grouping Property
C) Commutative Property
D) none of the above

Answers

Answer:

The answer is going to be A. Equality property

You buy halibut at $31 per pound. One portion of seared halibut requires 6 ounces of halibut. How much does the halibut for one portion cost? Round to the nearest cent.

Answers

Answer:

$11.63 per portion

Step-by-step explanation:

1 pound = 16 ounces

$31 per 16 ounces

31 / 16 = 1.94

$1.94 per ounce

1.94 x 6 = 11.63

$11.63 per portion

To run a mile, Jamal must run 4 laps around the track. His goal is to run 3 miles. Jamal has run 9 laps so far.

Answers

Don’t really know what your question is but 4 laps times 3 miles is 12 laps. He’s got 3 more laps to finish his goal.

Pro tip: Include the actual question

Answer:

1 mile = 4 laps

3 miles = 12 laps

9/4 = x /1

9/4 = 2.25

he has run 2.25 miles = 9 laps

he needs to run 0.75 miles = 3 laps

The area of a circular field is 154msqu. What is the perimeter of the field?(pi=22/7) 44 49 88 176

Answers

Answer:

44m

Step-by-step explanation:

A = [tex]\pi[/tex]r² = 154

   = 22/7 * r² = 154

   = r²  = 154 * 7/22

   = r²  = 49

   = r = √49

   = r = 7m

Perimeter of circle = 2[tex]\pi[/tex]r

                               = 2 * 22/7 * 7

                               = 44/7 * 7

                               = 44 m

Hope it helps

Mark it as Brainliest

     

Answer:

44m

Step-by-step explanation:

Area of circular field=154m²

Perimeter of the field=?

At first,

Area =22/7×r²

154m²= 22/7×r²

154×7/22=r²

49=r²

7×7=r²

7=r

Now,

Perimeter = 2×22/7×7

= 44m

What are the whole numbers between 3 to 10?

Answers

The correct answer is 4,6,8

4, 5, 6, 7, 8 and 9 are the whole numbers between 3 to 10.

What are whole numbers?

Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.

Two given whole numbers are 3 and 10.

The number of whole numbers between 3 to 10 is

(10-3)-1=6

The whole numbers between 3 to 10 are 4, 5, 6, 7, 8, 9.

Therefore, 4, 5, 6, 7, 8 and 9 are the whole numbers between 3 to 10.

Learn more about the whole numbers here:

https://brainly.com/question/29766862.

#SPJ2

brainliest for correct answer

Answers

Answer:

Hey there!

The point (0,0) represents that 0 dollars are raised at the beginning of the fundraiser.

Let me know if this helps :)

Answer:

B. $0 is expected to be raised in the fundraiser.

Hope this helps!

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