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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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Kwans The Kenningy account balance was $20 his ending balance is zero dollars what integer represents the changing in his accoun
77julia77 [94]

The integer number that represents the changing in his account balance from beginning to end is of -20.

<h3>Which numbers belong to the set of integer numbers?</h3>

Non-decimal numbers, either positive or negative numbers, also zero, belong to the set, which can be represented by:

Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}

A change can be represented by the <u>final value subtracted by the initial value</u>. For this problem, we have that:

  • The initial balance is of $20.
  • The final balance is of $0.

Hence the change in the balance is:

0 - 20 = -20.

And the integer is -20.

More can be learned about integer numbers are brainly.com/question/17405059

#SPJ1

6 0
1 year ago
pls help me literally pls help me i need this done before tmr ad i have alot more to do pls help thanks
julsineya [31]

Answer:

y = −3x+7

Step-by-step explanation:

m = slope

slope = change in y / change in x

slope = ▲y/▲x

slope = -3 / 1

slope = -3

y-intersect = (0,7)

The slope-intercept form of linear equation:-  

y = mx + b

where:

m = the slope

b = y-intersect

*we plot the information we have get in the formula

y = mx + b

y = -3x + 7

*and this is the equation of the graph

8 0
2 years ago
If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers. Roun
AlekseyPX

Answer:

P = 0.008908

Step-by-step explanation:

The complete question is:

The table below describes the smoking habits of a group of asthma sufferers

               Nonsmokers      Light Smoker     Heavy smoker      Total

Men                        303                     35                           37        375

Women                   413                     31                            45        489

Total                        716                     66                           82        864

If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers.

The number of ways in which we can select x subjects from a group of n subject is given by the combination and it is calculated as:

nCx=\frac{n!}{x!(n-x)!}

Now, there are 82C2 ways to select subjects that are both heavy smokers. Because we are going to select 2 subjects from a group of 82 heavy smokers. So, it is calculated as:

82C2=\frac{82!}{2!(82-2)!}=3321

At the same way, there are 864C2 ways to select 2 different people from the 864 subjects. It is equal to:

864C2=\frac{864!}{2!(864-2)!}=372816

Then, the probability P that two different people from the 864 subjects are both heavy smokers is:

P=\frac{82C2}{864C2}=\frac{3321}{372816}=0.008908

4 0
3 years ago
What are the answers to these four questions
Diano4ka-milaya [45]
Number 5 is 3.8
number 6 is yes, she will bc if you multiply 14,2 by 8, it will be less than 88.3
number 7 is about .11
number 8 is about 4.285
8 0
3 years ago
Write the sentence as an inequality. A number x is less than 7 and greater than 3
scZoUnD [109]

Answer:

7>x>3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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