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Evgesh-ka [11]
3 years ago
8

A worker at a clothing company uses 200 buttons to make 50 shirts.At this rate, how many buttons would the worker use to make 35

0 shirts ?
Mathematics
1 answer:
erik [133]3 years ago
3 0
\begin{array}{ccc}200\ buttons&-&50\ shirts\\\\x\ buttons&-&350\ shirts\end{array}\ \ |cross\ multiply\\\\\\50x=200\times350\ \ \ \ |divide\ both\ sides\ by\ 50\\\\x=\frac{200\times350}{50}\\\\x=4\times350\\\\\boxed{x=1400}\\\\\boxed{\boxed{Answer:1400\ buttons/350\ shirts}}
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59.6 is the answer rounded to the nearest tenth
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2 years ago
Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how man
ryzh [129]

Answer

so there are 7 singing acts and 5 comedy acts.

Step-by-step explanation:

Let x= number of singing acts.

Let y= number of comedy acts.

We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

We solve x+y=12

Y=-x+12

We know y=-x+12, so we will substitute that for the y in the second equation.

1. Substitute 5x+3(-x+12)=50

2. Distribute 5x-3x+36=50

3. Solve 2x+36=50

2x=14

X=7

Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

5(7)+3y=50

35+3y=50

3y=15

Y=5

6 0
3 years ago
a large water tank measures 6 feet across and 4 feet high. it is being filled with water at a rate of 10 gallons per minute. abo
Ray Of Light [21]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Estimate 80,767 - 37,291 by first rounding each number to the nearest thousand.
N76 [4]

Answer:

44000

Step-by-step explanation:

Given the following question:

80767-37291

To estimate by the nearest thousand, we have to look at the thousand's place value and then look at the number next to it, to see if it's greater than five.

80767-37291

80767

7 > 5

81000

37291

2 < 5

37000

81000-3700=44000

=44000

Hope this helps.

6 0
2 years ago
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
NikAS [45]

Answer:

a = 15

Step-by-step explanation:

Given

3a + b = 54 ← substitute b = 9

3a + 9 = 54 ( subtract 9 from both sides )

3a = 45 ( divide both sides by 3 )

a = 15

5 0
3 years ago
Read 2 more answers
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