In the figure, PR = 15x – 11 and PQ = 3x + 6. Find QR in terms of x.

Answer:

Let

y--------> cost of the dinner with friends

h--------> the number of hours Lindsay worked last week

we know that

y =\frac{1}{15} *( 10h+60)y=

15

1

∗(10h+60) ------> equation 11

y =\frac{1}{10} *( 10h)y=

10

1

∗(10h) ------> equation 22

equate equation 11 and equation 22

\begin{gathered} \frac{1}{15} *( 10h+60)=\frac{1}{10} *( 10h)\\\\ Multiply\ by\ 150\ both\ sides\\\\ 10*(10h+60)=15*10h\\\\ 100h+600=150h\\\\150h-100h=600\\\\ h=\frac{600}{50} \end{gathered}

15

1

∗(10h+60)=

10

1

∗(10h)

Multiply by 150 both sides

10∗(10h+60)=15∗10h

100h+600=150h

150h−100h=600

h=

50

600

h= 12\ hoursh=12 hours

therefore

the answer is

Lindsay worked 12\ hours12 hours last week

The equation that can be used to find the number of hours is

\frac{1}{15} *( 10h+60)=\frac{1}{10} *( 10h)

15

1

∗(10h+60)=

10

1

∗(10h)

Lindsay worked for about 120 hours last week.

An equation is used to show the relationship between two or more variables and numbers.

Let h represent the number of hours Lindsay worked last week, hence:

(1/15)(10h + 600) = (1/10)(10h)

40h + 2400 = 60h

h = 120 hours

Lindsay worked for about 120 hours last week.

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

Yes

Step-by-step explanation:

Substitute the x and y values of the point into the x and y values of the equation.

[tex]1=2(-1)+3\\1=-2+3\\1=1\\:)\\\\1=-(-1)\\1=1\\:)[/tex]

Hope this helped!

Answer:

3rd step

Step-by-step explanation:

2*3+3 is not equal to 2*6 because of bidmas we do multiplication first

Answer:

[tex]x=\sqrt{-2},or,x=\sqrt{2}i[/tex]

Step-by-step explanation:

Answer: The mistake is that david messed up on the inverse operation rules. He should have subtracted 2x, not add, and same goes to adding 2 to 33. He should have subtracted 2 not added it.

Step-by-step explanation:

7x - 2 = 2x + 33

7x - 2x - 2 = 33

5x - 2 = 33

5x = 35

x = 7

Answer:

The correct option is O B'

Step-by-step explanation:

We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.

Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.

In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.

Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).

I will attach a drawing with an example.

Finally, we only have to look at the vertices and its original distances to answer the question.

The vertice that is closest to the line of reflection is B (the distance is 4 units). We answer O B'

Step-by-step explanation:

Hope this helps, happy learning

Answer:

The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5

Step-by-step explanation:

The y value of the equation that the required function g(x) outputs = -4·x - 6 = -5·y + 2

Therefore, we have;

-4·x - 6 = -5·y + 2

-5·y + 2 = -4·x - 6

-5·y = -4·x - 6 - 2 = -4·x - 8

Therefore, y = (-4·x - 8)/(-5) = 4/5·x + 8/5

y = 4/5·x + 8/5

Which gives;

g(x) = y = 4/5·x + 8/5

Therefore;

The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5

Answer:

We conclude that the estimated volume of a cylinder is 288 in.³

Step-by-step explanation:

Given

The formula to determine the volume of a cyliner is:

[tex]V=\pi r^2h[/tex]

substituting the values r = 3.75 inches, h = 6.21 inches, and π = 3.14 in the formula to calculate the volume of a cylinder.

[tex]V=\pi r^2h[/tex]

[tex]V=\left(3.14\right)\left(3.75\right)^2\times 6.21[/tex]

[tex]V=274[/tex] in.³

Therefore, from the given options, we conclude that the estimated volume of a cylinder is 288 in.³

Answer:

The graph of the image is attached below.

Step-by-step explanation:

Let the points of the figure

We need to find the image coordinates after the dilation by a scale factor of 2 centered at the origin.

The rule of dilation by a scale factor of 2 is:

Dilation with scale factor 2, multiply by 2.

(x, y) → (2x,2y)

The coordinates of the vertices of the image according to this rule will be:

(x, y) → (2x,2y)

A(1, -1) → (2(1),2(-1)) = A'(2, -2)

B(3, -1) → (2(3),2(-1)) = B'(6, -2)

C(1, 2) → (2(1),2(2)) = C'(2, 4)

D(3, 2) → (2(3),2(2)) = D'(6, 4)

Therefore, the coordinates of the vertices of the image will be:

The graph of the image is attached below.

Answer:

1/9

Step-by-step explanation:

1/9 is a fraction, so it is rational.

Answer:

1111111111/1000000000

Step-by-step explanation:

Answer:

first step would be adding 10 to both sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

yepppppppp

Answer:

F (-1,5)

Step-by-step explanation:

Since the problem gives you the graph, all you have to do is see which point falls in the shaded part. F is the answer since J is on the line. If the equality was less than or equal, then it would be F and J.

Answer:

1,5

Step-by-step explanation: there may be a negitive number

Answer: x = 0, 20

Step-by-step explanation:

The equation would be 100p-5p^2=0

Then factor 100 and -5 by 5

Answer:

x > -7

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define inequality

-3x - 7 < 14

Step 2: Solve for x

Here we see that any value greater than -7 would work as a solution of x.

Step-by-step explanation:

-3x-7<14

-3x<21

3x>-21

x>-21/3

x>-7

Answer:

3) is 9 cents

Step-by-step explanation:

$6.30/70 days = $0.09 = 9 cents

Answer: The Answer is graph A

Its right I got it on my test before! I hope this helps!

-Jayden

Answer:

29

Step-by-step explanation:

x=4. 4-1=3. 7x3=21. 21+8=29. Viola

Answer:

3/7

Step-by-step explanation:

Step-by-step explanation:

1/3 + 3²+3³

=1/3+9+27

=(9+3+1)/27

=13/27

Answer: 39

Step-by-step explanation: To find the answer or result of 3 + 3 to the second power + 3 to the third power, you’ll have to find the whole number value of the two integer numbers being 3 to the second power and 3 to the third power. To do this, multiply (3 x 3) and (3 x 3 x 3). You should get 9 and 27. Lastly, you‘ll have to add 3 + 9 + 27, to give you the final answer or result of 39.

Answer:

268

Step-by-step explanation:

We need to multiply and add:

47 tables of 4 means there are a total of 47 * 4 = 188 people at these tables.

16 tables of 5 means there are a total of 16 * 5 = 80 people at these tables.

Add them up to get: 188 + 80 = 268 customers total.

Answer:

subtract 8.5

Step-by-step explanation:

this will isolate y

Answer:

3x+5=10

Step-by-step explanation:

3x+5=10

it would be solved like this

3x = 15

x = 5

Hope this helped :)

Answer:

the answer is 24 i just did this test

Step-by-step explanation:

Answer:

x = 1/a-b.

x is the reciprocal of the difference of a and b.

x is 1 over the difference of a and b.

x is the quotient of 1 and the difference of a and b.

Step-by-step explanation:

i did it

The transformation of the given equation ax = bx + 1 for the x will be 1/(a - b).

In the by substitution method, one of the equations is calculated for one of the variables, which is then transferred back into the other equation where the chosen variable is a replacement, and the second equation is then calculated for. The first variable is then home safely.

In other words, substitution is a method to find the value of variables x and y by just substituting x and y to another equation.

The substitution method is more good than the elimination method.

Given that the equation

ax = bx + 1

Transfer bx to the left side

ax- bx = 1

Take common x from the left-hand side

x(a - b) = 1

Divide a - b on both sides

x = 1/(a - b) hence it will be the correct transformation.

For more about the substitution method

https://brainly.com/question/22340165

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Answer:

A.

Step-by-step explanation:

See attachment for math work and answer.