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Anna35 [415]
2 years ago
5

e. Translate the word problem below into an equation; then solve. It only takes Vera 2 hours to sew 1 dress, but it takes Ivy 4

hours. Working together, how many hours would it take the two of them to sew 12 dresses? ​
Mathematics
1 answer:
Daniel [21]2 years ago
6 0

Using the together rate, it is found that it would take them 16 hours to sew 12 dresses.

<h3>What is the together rate?</h3>

The together rate is the <u>sum of each separate rate</u>.

In this problem, we have that:

  • Vera's rate is of 1/2.
  • Ivy's rate is of 1/4.

Hence, the together rate is the time it would take them to produce one dress working together, and is given by:

\frac{1}{x} = \frac{1}{2} + \frac{1}{4}

\frac{1}{x} = \frac{2 + 1}{4}

3x = 4

x = \frac{4}{3}

Then one dress takes \frac{4}{3} of an hour, and the time for twelve dresses is:

t = 12 \times \frac{4}{3} = 4(4) = 16

It would take them 16 hours to sew 12 dresses.

To learn more about the together rate, you can take a look at brainly.com/question/25159431

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1.65 1 2/3 1.7 least to greatest
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3 years ago
What is the remainder when the polynomial 8x^2+4x-3 is divided by 2x-1?
Yuliya22 [10]
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5 0
3 years ago
The path of a projectile launched from a 26-ft-tall tower is modeled by the equation y = −16t2 + 64t + 26. What is the maximum h
BabaBlast [244]

Answer:

The maximum height of the projectile is 90 ft

Step-by-step explanation:

Here, we want to get the maximum height reached by the projectile

The answer here will be the y-coordinate value of the vertex form of the given equation

so firstly, we have to write the equation in the vertex form

We have this as;

y = -16t^2 + 64t + 26

That will be;

y = a(x-h)^2 + k

y = -16(x-2)^2 + 90

where the vertex of the equation is;

(-h,k)

K

in this case is 90 and thus, that is the maximum height of the projectile

8 0
3 years ago
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NARA [144]
I think the answer would be the last one. a cylinder with radius 4 units.
3 0
3 years ago
I really need help finding the solution!!
Mrac [35]

Answer:

-0.5 is not a solution

2 is a solution

Step-by-step explanation:

To check if something is a solution of the equation, you need to substitute the value in place of the variable

15 + 2y = -12 - 4y

15 + 2(-0.5) = -12 - 4(-0.5)

15 - 1 = -12 + 2

14 ≠ -10 ∴ -0.5 is not a solution

5 - 2(3x + 5) = 3 - 10x

5 - 2[3(2) + 5] = 3 - 10(2)

5 - 2(6 + 5) = 3 - 10(2)

5 - 12 - 10 = 3 - 120

-17 = -17 ∴ 2 is a solution

3 0
2 years ago
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