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sertanlavr [38]
3 years ago
7

A machine makes 150 boxes in 15 minutes what is the rate

Mathematics
2 answers:
Illusion [34]3 years ago
4 0
I think its 10 boxes per minute but i could be wrong..
aleksklad [387]3 years ago
4 0
Since 150 is divisible by 15, you could easily divide 150 by 15.
So, your answer is 10, because 
15 X 10 Equals 150.
Also, to check your work, you could always add.
15+15=30. 30 X 2 Is 60 (15 X 4) 60 X 2=120, (15 X 8) and 15 X 2 = 30. Which is added up to 30+120, which is 150.
So your answer is 10
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4. Solve the following system of equations for x.
Ber [7]

We are given the system of equations -:

\large{ \begin{cases} 2x + 3y =  - 14 \\ y = 6x + 22 \end{cases}}

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

\large{2x + 3(6x + 22) =  - 14}

Expand 3 in the expression so we can combine like terms and isolate x-variable.

\large{2x + 18x + 66 =  - 14}

Then combine like terms.

\large{20x + 66 =  - 14}

Get rid of 66 from the left side by subtracting both sides by itself.

\large{20x + 66 - 66 =  - 14 - 66} \\  \large{20x =  - 80}

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

\large{ \frac{20x}{20}  =  \frac{ - 80}{20} }

Simplify to the simplest form.

\large{x =  - 4}

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

  • x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

5 0
3 years ago
Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for f(h(x)).
azamat
F(h(x)) means wherever you see x in the f(x) function you're gonna plug in the h(x) function:
f(h(x)) = (2x + 3) - 7
= 2x + 3 - 7
= 2x - 4
6 0
3 years ago
Read 2 more answers
What is the value of the expression 30+(-6)?<br> A -180<br> B -5<br> C 5<br> D 24
Evgesh-ka [11]

Answer:

24

Step-by-step explanation:

from the question above,

30+(-6) =

when plus is multiplying minus it's minus

+ × - = -

30-6 = 24

4 0
2 years ago
Read 2 more answers
First, I add 1. Then, I multiply by 2. Next, I divide by 3. As a result, I get 4. What is my starting number?
Ira Lisetskai [31]

Answer:5

Step-by-step explanation:

reverse the steps

2(x+1)/3=4

2(x+1)/3×3=4×3

2(x+1)/2=12/2

x+1=6

x=6-1

x=5

6 0
3 years ago
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A gasoline service station offers 20 cents off the regular price per gallon every tuesday. what equation relates the discounted
Leni [432]
R - 0.20 < r would be your answer
3 0
3 years ago
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