What is the missing length of this rectangle?

Faye pays her family phone bill, and Jonathan’s family phone bill with her card and jonathan pays her back. If Faye bill is $120

nika2105 [10]

Answer:

<u>Jonathan has to pay Faye back US$ 240 </u>

<u>Jonathan has 4 people on his bill and Faye has 6.</u>

Step-by-step explanation:

1. Let's find out the amount of the phone bills, this way:

Total of the two bills = US$ 600

Faye's bill = US$ 120 more than Jonathan's

Jonathan's bill = x

Solving for x, we can use this equation:

x + x + 120 = 600

2x + 120 = 600

2x = 600 - 120

2x = 480

x = 480/2 = 240

<u>Jonathan has to pay Faye back US$ 240 </u>

2. Let's find out the number of people on each bill, this way:

Faye has two people more on her bill than Jonathan

Number of people on Jonathan's bill = x

Number of people on Faye's bill = x + 2

We will use the following equation:

240 * (x + 2) = 360x

240x + 480 = 360x

240x - 360x = -480

-120x = - 480

x = -480/-120

x = 4 ⇒ x + 2 = 6

<u>Jonathan has 4 people on his bill and Faye has 6.</u>

5 0

3 years ago

What is the mean of 4,6,7,7,11,12,15,18,20

ExtremeBDS [4]

Answer:

Step-by-step explanation:

4+6+7+7+11+12+15+18+20= 100

divide by the number of values we have. we have 9 values

100/9=11.1111111111

I hope this helped

4 0

3 years ago

Read 2 more answers

Please help. Im dying for the explanation. I will mark you brainalist.

AlekseyPX

Step-by-step explanation:

Given that the mean of the numbers is 12

$mean = \frac{sum \: \: of \: observations}{total \: number \: of \: observations}$

so here

let's that one as x and another one as 2x since it is given that one is twice the other

Therefore we get

$mean = \frac{13 + x + 4 + 16 + 6 + 2x}{6}$

Given mean = 12

$12 = \frac{39 + 3x}{6}$

$72 = 39 + 3x$

$3x = 33$

$x = 11$

Hence it's 11 and 22

5 0

2 years ago

ou push a large crate with a force of 100 N to the right . What force could your friend apply in order to cause a balanced force

mina [271]

Answer:

100 N to the left

Step-by-step explanation:

They have to be equal and opposite to balance, so they will need a force of 100 N to the left

7 0

4 years ago

A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million u

padilas [110]

Answer:

C. When the survey was initially conducted average sales of smartphones was 1.7 millions units.

Step-by-step explanation:

We have been given that the average annual sales of smartphones, in million units, n years after the survey is conducted is modeled by function $p(n)=1.7\cdot b^n$ , where the parameter b is an unknown positive base.

We are asked to find the true statement about our given function.

A. If b= 1.45, the annual growth rate of the sales of smartphones is 145%.

Since we know that b equals (1+r) for growth function, where r is in decimal form.

If b=1.45, it means that the annual growth rate will be 45% as 0.45 is decimal form of 45%, therefore, statement A is not true.

B. If b= 1.02, annual sales of smartphones will double in 2 years.

If b=1.02, it means that the annual growth rate will be 2% as 0.02 is decimal form of 2%, therefore, statement B is not true.

C. When the survey was initially conducted average sales of smartphones was 1.7 millions units.

Since we know that an exponential function is in form $y=a*b^x$ , where a in initial value of function. We can see from our given function that a equals 1.7, therefore option C is a true statement.

D. The average sales of smartphones increases by 1.7 millions units every year.

Since our function is not a linear function, instead it is an exponential function, so rate of change can not be constant.

Therefore, option D is not true regarding our given function.

7 0

4 years ago