Solve for p.
16p = 160

Answer:

32

Step-by-step explanation:

You have to use pythagorean theorem for this, where a and b represent the 2 sides while c represents the hypoteneuse.

a²+b²=c²

If the diagonal of a square is 8, it divides the square into 2 triangles, both with a hypoteneuse of 8. Since it is a square, that means the other 2 sides will have equal lengths. So input 8 into the equation:

a²+b²=8²

a²+b²=64

Then you can change a and b into the same variable, since you know they will be equal due to you working with a square.

a²+a²=64

simplify: 2a²=64

divide both sides by 2: a²= 32

square root both sides: a = [tex]\sqrt{32}[/tex]

then you know the length of each side is [tex]\sqrt{32}[/tex]

to find the area of a square, you must multiply both sides by each other, so do [tex]\sqrt{32}[/tex]*[tex]\sqrt{32}[/tex], which will give you 32 since you are essentially doing this:

[tex](\sqrt{32})^2[/tex] in which the square and square root cancel out.

15(h) + 12

h = hours worked

//

15(2) + 12

Answer: 10^6

Step-by-step explanation:

When you take a power to a power, you can multiply the two powers:

10^6

Answer:

10^6 hope this helps you

Answer:

the unit rate of cream cheese for sugar is .8

the unit rate of sugar for cream cheese is 1.25

Step-by-step explanation:

I hope this is correct / helps! :)

Hey there!

The answer is, for active, "Carla drove Emily to the theater," and, for passive, "Emily was driven to the theater by Carla."

Have a nice day :)

[tex] \frac{ {m}^{11} }{ {m}^{8} } = {m}^{3} [/tex]

[tex] {m}^{11 - 8} = {m}^{3} [/tex]

When you're dividing two exponents with like bases, all you have to do is substract the exponents.

Answer:

y = 4

x = 5

y = 2

x = 1

x = 8

Step-by-step explanation:

to find y-intercepts, set x = 0

to find x-intercepts, set y = 0

1.)   4(0) + 5y = 20

     5y = 20

      y = 4 -------> y-intercept

2.)   4x + 5(0) = 20

      4x = 20

       x = 5 -------> x-intercept

3.)   2(0) + y = 2

      y = 2 -------> y-intercept

4.)    2x + 0 = 2

       x = 1 -------> x-intercept

5.)    x - 2(0) = 8

       x = 8 -------> x-intercept

Answer:

4x+5y=20 the answer is below

x= −5/4y+5

y= −4/5x+4

2x+y=2 the answer is below

x= −1/2y+1

y=−2x+2

x-2y=8 the answer is below

x=2y+8

y=1/2x−4

Step-by-step explanation:

Let's solve for x.

4x+5y=20

Step 1: Add -5y to both sides.

4x+5y+−5y=20+−5y

4x=−5y+20

Step 2: Divide both sides by 4.

4x/4 = −5y+20/4

x= −5/4y+5

Answer:

x= −5/4y+5

Let's solve for y.

4x+5y=20

Step 1: Add -4x to both sides.

4x+5y+−4x=20+−4x

5y=−4x+20

Step 2: Divide both sides by 5.

5y/5 = −4x+20/5

y= −4/5x+4

Answer:

y= −4/5x+4

Let's solve for x.

2x+y=2

Step 1: Add -y to both sides.

2x+y+−y=2+−y

2x=−y+2

Step 2: Divide both sides by 2.

2x/2= −y+2/2

x= −1/2y+1

Answer:

x= −1/2y+1

Let's solve for y.

2x+y=2

Step 1: Add -2x to both sides.

2x+y+ −2x=2+ −2x

y=−2x+2

Answer:

y=−2x+2

Let's solve for x.

x−2y=8

Step 1: Add 2y to both sides.

x−2y+2y=8+2y

x=2y+8

Answer:

x=2y+8

Let's solve for y.

x−2y=8

Step 1: Add -x to both sides.

x−2y+−x=8+−x

−2y=−x+8

Step 2: Divide both sides by -2.

−2y −2=−x+8−2

y=1/2x−4

Answer:

y=1/2x−4

Answer:

55

Step-by-step explanation:

you make 25 into its perfect square form and multiply

11÷5 x 5 x 5

Answer:

Multiplication

Step-by-step explanation:

3r means 3 times R. We don't write it just like we don't write 1.0 for 1 or 1.000... A number in front of a variable means that number times that variable.

Hope this helps! <3

Answer:

2s+3b=154

s=2b

solving: s= 44, b= 22

Step-by-step explanation:

s=number of sundaes sold

b=number of banana splits sold

2s+3b=154

s=2b

to solve:

substitute s=2b into the first equation

2(2b)+3b=154

4b+3b=154

7b=154

divide both sides by 7

7b/7=154/7

b=22

s=44

Answer:

2 : 19

Step-by-step explanation:

We know 2 of the bushes are blooming (this is the left number in my answer) but the other 17 are not. Neither of these is the total number of bushes. To find that, we need to add these together to get 2 + 17 = 19.

This means 2 out of 19 rose bushes are blooming.

Hope this helps! Have a great day!

Answer:

multiply (x-1) to both sides and then subtract three from both sides

3 = (x-1)(x+1)

3 = (x^2 -1)

0 = x^2 - 4

(x-2)(x+2) = 0

x = 2

x = -2

Step-by-step explanation:

Answer:

Given,

Weight of each apple =75 gm

Weight of each orange =40 gm

So,

Weight of x apples =75x gm

Weight of y oranges =40y gm

Thus,

Weight of x apples and y oranges =(75x+40y) gm

I hope it's helpful!

Answer:

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1

Answer:

56

Step-by-step explanation:

Because there are 8 names  and when you choose a name there are 7 people that can be a pair so 7*8=56

Answer:

Part A: 12 + x

Part B: 2s + 2

Step-by-step explanation:

First thing you need to know is the difference between an expression and an equation. An expression does not have an equal sign, while an equation does.

To write an expression for Part A, first write the 12 (the amount he got on Saturday). Then, we need to write the addition sign (to find the total amount Bill earned). We don't know how much Bill earned on Sunday, so use any variable (I used x). Because we're writing an expression, do not write an equal sign.

To write an expression for Part B, first write the amount of dogs his friend Steve walked using a variable because we don't know that number (I used the variable s). Then, since Bill walked 2 more than twice as many dogs Steve walked, write the s multiplied by the 2 or just 2s. Now add the addition sign (to find the total amount Bill walked). Add a 2 because Bill walked 2 more dogs than twice as many Steve walked.

Hope it helps!

The expressions formed are 12+x and 2y+2.

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

Let x be the amount of money Bill earned on Sunday.

He earned $12 on Saturday.

The total amount of money Bill earned is,

=> 12 + x

Let the number of dogs Bill's friend Steve walked is y.

Then the expression for the number of dogs Bill walked compared with Steve is,

=> 2y +2

To know more about Expression

https://brainly.com/question/14083225

#SPJ5

Answer:

Step-by-step explanation:

w=204.8

Answer:

204.8

Step-by-step explanation:

8x25.6=204.8

DOuble Check:

204.8 divided by 25.6=8

Answer:

10.04 × 8.8 =?, ? = 88.352 :)

Answer:

88.352

Step-by-step explanation:

10.04

x. 8.8

=88.352

una expression algebraic

5x9

xy²

8x6y

3x

A is the correct answer

hope that helps:)

Answer:

A 15/V-7

Step-by-step explanation:

Answer:

280 students

111 non students

Step-by-step explanation:

number of students (S)

number of non students (N)

S+N=391     S=391-N

4S+6N=1786

substitute S

4(391-N)+6N=1786

1564-4N+6N=1786

subtract 1564 from each side

2N=222

N=111

S=391-111=280

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree

Step-by-step explanation:

Answer:

D or 8sqrt3

Step-by-step explanation:

the shortest side = the longest divided by 2

the shortest side = 16/2

the shortest side = 8

the longer side = the shortest times sqrt3

the longer side = 8 times sqrt3

the longer side = 8sqrt3

Answer:

Step-by-step explanation:

Answer:

-9.8n + 10.9

Step-by-step explanation:

2.9 + 8 = 10.9

-4n + -5.8n = -9.8n

Answer:

The answer is 5

Step-by-step explanation:

You can do inverse operation which is Subtraction.

8-3 = 5

Answer:

5

Step-by-step explanation:

if its not that i have no idea what to say