MATHEMATICS MIDDLE SCHOOL

( 5x + 685 ) + ( 12x - 106 ) = 2500

Answers

Answer 1

Answer:

Answer:

x = 113

Step-by-step explanation:

( 5x + 685 ) + ( 12x - 106 ) = 2500 ( 685 - 106 = 579)

17x + 579 = 2500

17x = 2500 - 579

17x = 1921

x = 1921 / 17

x = 113

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A new roll of wrapping paper has 6 5/8 yards of paper. Drew used 2 1/6 yards from the roll to wrap a gift. Which equation most closely estimates the number of yards of wrapping paper left on the roll?

Answers

Answer:

4.45833333

Step-by-step explanation:

In a survey of 200 residents, 75 said they support the proposed town budget. If there are 10,000 total residents, about how many would be expected to support the proposed budget?

Answers

if 75 out of 200 people support the town budget than 3,750 out of 10,000 support it

A movie theater owner determined that about 2 out of every 5 customers purchases popcorn. Which simulation could be used to answer questions about customers purchasing popcorn?

Answers

Answer:

The spinner

Step-by-step explanation:

The spinner will work because there is a 2/5 chance of landing on green everytime it is spun

Answer:

The spinner

Step-by-step explanation:

The spinner has 5 colors on it. So there's a 2/5 chance of landing on green every time it's spun

The dice can have 6 different outcomes. The coin flipping has 2 outcomes, but only 2 events as well.

Hope this helps!

Carl has three lengths of cable. 5/6 yard long, 1/4 yard long, and 2/3 yard long. He needs at least 1 yard of cable. After Carl has used 1 yard of cable, how much cable will he have left? Explain how you found your answer.

Answers

so this wants you to add the fractions and subtract 1/1

we know that 6/8=3/4 because 3/4 times 2/2 (or 1) os 6/8

so we need the denomenators (bottom number) to be the same

so 5/6=10/12
1/4=3/12
2/3=8/12
add them together
10+3+8=21
21/12=1 and 9/12
subtract 1 and get
9/12 left or 3/4 yard left

Can 29/48 be simplified

Answers

29/48 Can not be simplefied... Nothing will go into 48 that can also go into 29.
So 29/48 Is your final answer.

Well actually we can't simplified or reduce more the final answer is 29/48 :)

If A+D=117kg , A+M=88kg and M+D=161kg whats there total weight

thx in advance

Answers

Think of A as a constant - with D it's 117 and with M it's 88

So the difference between D and M is 29 (117-88)

We also know that M + D = 161

Let's substitute in the problem We will leave M equal to M and rewrite D as M+29 since it is 29 kg heavier.
M + M + 29 -161 or 2M +29 = 161 Subtracting 29 from both sides we get 2M=122
Now divide both sides two and get M=61
Since D is M+29 it is 61+29 or 100kg
Finally A + M = 88 A + 61 - 88 Subtract 61 from both sides and get A=17
So there you have it:
A=17kg
M=61kg
D=100kg and it works in all three equation in your problem (try it to check)

There's actually a really slick solution to this problem.Add all three equations. This results in 2(A+M+D)=366. Dividing by two, we see that A+M+D=183, so 183 is the total of the weights.

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