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Archy [21]
3 years ago
10

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.

Each small box can hold 20 books and each large box can hold 30 books. There were 4 times as many large boxes sent as small boxes, which altogether can hold 280 books. Write a system of equations that could be used to determine the number of small boxes sent and the number of large boxes sent. Define the variables that you use to write the system.​
Mathematics
1 answer:
dezoksy [38]3 years ago
8 0

Answer:

20*s+30*l = 280

4*s=l

Step-by-step explanation:

Let's say that the number of small boxes is s and the number of large boxes is l. Then, 20*s equals the amount of books in small boxes (as there are 20 books per small box), and 30*l for the amount of books in large boxes. Then, we know that 4 times the amount of small boxes, s, equals l, so 4*s=l. Then, as we know that the amount of books that can be held is 280, we can add the amount of books for each type of box, or 20*s+30*l, to get 280. Our equations are as follows:

20*s+30*l = 280

4*s=l

As we can define l in terms of s, making it so that we can limit the top equation to 1 variable, we can use this to determine the number of each type of box

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8-6x>-18 solve for x
EleoNora [17]

Answer:

x=5

Step-by-step explanation:

Well all i did was guess a random number from 1-10 so I could see what numbers make the equation bigger than -18 and the fist thing I guessed was 5 so this is what I did

8-6*5=-22

And them I said let me see if any multiples equal -18 so I went to for and did this

8-6*4=-16

That's when I guessed the answer if i looked at the sign correctly!

8 0
3 years ago
(Hi! I'm having trouble understanding this paragraph because I'm not fluent at English yet, can someone help me explain what to
zmey [24]
It's asking you to work out how many minutes it will take to drive to a school if you're driving at a speed of 35 miles per hour (mph).

But there's a problem with the question because it doesn't tell you how far away the school is.

But this is how you are supposed to do it:

Distance ÷ 35 = answer (in hours)
Answer (in hours) × 60 = Final answer (in minutes). 

It's like this because time = distance ÷ speed, and the question asks for the answer in minutes, but the unit is in miles per hour, so you multiply by 60 to get the answer in minutes.

Hope I helped :)
8 0
3 years ago
Given the parent function f(x) = x^2 describe the translation of the function y=(.2x)^2?
Bad White [126]

Answer:

Option C.

Step-by-step explanation:

Let f(x) = x ^ 2 be a quadratic function

Then we do the function y = f(bx) = (bx) ^ 2

Where b is a real number.

If b> 1 then the function y = (bx) ^ 2 represents a horizontal compression of the function y = x ^ 2  

If  0 Then the function y = (bx) ^ 2 represents a horizontal expansion compression of the function y = x ^ 2 by a factor of \frac{1}{b}

In this case, the equation is:

y = (0.2x) ^ 2 Then:

b = 0.2

0

Thus

y = (0.2x) ^ 2 is a horizontal expansion of the function y = x ^ 2 by a factor of \frac{1}{0.2} = 5.

The correct option is: Option C

4 0
3 years ago
2120
avanturin [10]

Answer:

1/20

Step-by-step explanation:

3/10 - 1/4

First, convert the fractions to a common denominator:

3/10 *2/2 = 6/20

1/4 * 5/5 = 5/20

Now put them back into the equation and solve:

6/20 - 5/20 = 1/20

Another way to do this:

3/10 - 1/4

Convert the fractions into decimals:

3/10 = 0.3

1/4 = 0.25

substitute back into the equation and solve:

0.3 - 0.25 = 0.05

convert back into fractions:

0.05 = 1/20

7 0
3 years ago
Read 2 more answers
The bottom two questions that correspond to the word problem... I don't get it
lisov135 [29]
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Equation:  value=20,000 - 600t

To answer the next question, just plug it into the equation you created. 

500<20,000 - 600t

-19500< -600t

32.5>t
Final Answer: It would take at least 32 and 1/2 years for the value of Mama's car to be less than $500. 

Hope this helps!! :)




3 0
3 years ago
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