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Elden [556K]
3 years ago
14

Lucy is a dress maker. She sews 4/7 of a dress in 3/4 hour. Lucy sees at a constant rate. At this rate, how many dresses does lu

cy see in one hour? (Include fractions of dresses if applicable.)
Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0

Answer:

Lucy sews \frac{16}{21} dresses in 1 hour.

Step-by-step explanation:

Given:

Lucy sews \frac{4}{7} of a dress in \frac{3}{4} hour.

She sews at constant rate.

We need to find the number of dresses she makes in 1 hour.

In \frac{3}{4} hour = \frac{4}{7} dress

So in 1 hour = Number of dresses in 1 hour

By using Unitary method we get;

Number of dresses in 1 hour= \frac{\frac{4}{7}}{\frac{3}{4}} = \frac{4}{7}\times \frac{4}{3}= \frac{16}{21}

Hence Lucy sews \frac{16}{21} dresses in 1 hour.

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Answer:

76.8

Step-by-step explanation:

Using the proportion

\frac{120}{100} → Percent is out of 100

\frac{120}{100} = \frac{n}{64} ( cross-  multiply )

100n = 7680 ( divide both sides by 100 )

n = 76.8

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3 years ago
You have 512 cubic feet of chocolate pudding. You have an empty cube that you want to fill with pudding; it measures 7 feet per
max2010maxim [7]
Well it would mostly be 73.14..
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3 years ago
if a person earns $2600 in 4 weeks, how much can the person earn in 20 weeks at the same rate of pay?
AlladinOne [14]

Howdy!

To do this we first have to find the unit rate of 2,600.

2,600/4=650 each week. Then, we just multiply 650x20, with 20 being the number of weeks.

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4 0
2 years ago
(4x+2)=102+44 solve for x
sergiy2304 [10]
<h3>Solution:</h3>
  • (4x + 2) = 102 + 44
  • or, 4x = 102 + 44 - 2
  • or, 4x = 144
  • or, x = 144 ÷ 4
  • or, x = 36
<h3>Answer:</h3>

x = 36

8 0
2 years ago
Read 2 more answers
A researcher is planning to compare the effects of two different types of lights on the growth of bean plants. She expects that
kicyunya [14]

Answer:

The sample size is  n  = 36

Step-by-step explanation:

From the question we are told that

   The sample standard deviation is  s =  1.5

  The mean difference of the two groups is  \=x _ 1 - \=x_2 =  1

   The standard error is  SE =  \frac{ \= x_1 - \= x_2}{4}

=>                                      SE =  \frac{1}{4}

Let assume that the confidence level is 95% hence the level of significance is  

   \alpha = (100-95)\%

=> \alpha = 0.05

So the critical value of  \frac{\alpha }{2} obtained from the normal distribution table is

     Z_{\frac{\alpha }{2} } = 1.96

Generally the margin of error is mathematically evaluated as

     E =  Z_{\frac{\alpha }{2} } * SE    

   E =  1.96 * \frac{1}{4}

    E = 0.49

Generally the sample size is mathematically represented as

  n =[ \frac{Z_{\frac{\alpha }{2}  * s^2}}{E}]^2

=> n  = [\frac{1.96 * 1.5}{0.49} ]^2

=> n  = 36

6 0
3 years ago
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