For this case, the first thing we must do is define variables:
x: first number
y: second number
We now write the system of equations:
x + y = 20
y = 2x + 35
Solving the system we have:
x = -5
y = 25
Answer:
The numbers are:
x = -5
y = 25

4 0

2 years ago

Prove <5 is supplementary to <6 using theorems.

babunello [35]

Answer:

Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.

6 0

2 years ago

Mrs. Santiago is buying bagels for her office.Each box contains 6 plain, 4 blueberry, and2 onion bagels. Write and interpret a r

yawa3891 [41]

Explanation:

Each box contains

$\begin{gathered} 6plain \\ 4blueberry \\ 2onionbagels \end{gathered}$

The ratio that compares the number of blueberry bagels in one box to the number of onion bagels in one box will be calculated below as

$\begin{gathered} 4:2 \\ in\text{ the simplest form } \\ 2:1 \end{gathered}$

This means that for every one onionbagels in the box, there are 2 blueberry bagels

Part B:

Given that there are 20 blueberry bagels, the number if onion bagels will be calculated below as

$\begin{gathered} \frac{2}{1}=\frac{20}{x} \\ cross\text{ multiply, we will have} \\ 2x=20 \\ \frac{2x}{2}=\frac{20}{2} \\ x=10 \end{gathered}$

Hence,

The final answer is

$10\text{ }onion\text{ }bagels$

7 0

9 months ago

a rectangular playground is 40 meters by 10 meters. its area will be covered with shredded tires. each bag of shredded tires cov

Lena [83]

First, we need to find the area of the rectangular playground.
To do this, we must multiply 40 by 10.
We get 400 meters².
Now divide 400 by 200 and you get 2.
That means 2 bags will be needed to cover the entire area of the playground.
To find the price, multiply 30 by 2.
The total cost for this project will be $60.
Hope this helped you out! :)

6 0

2 years ago