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Semenov [28]
3 years ago
9

Wade needs to solve the problem 1 5/8 x - 2 1/2 = -11 4/5. He is not sure what to do first, so he rounds the numbers to take a l

ook at a simpler problem. The equation he writes is 2x - 3 = -12.
From this, he can see that he should start solving the original equation by _____.

adding 11 4/5 to both sides of the equation
subtracting 2 1/2 from both sides of the equation
adding 2 1/2 to both sides of the equation
dividing both sides of the equation by 1 5/8

Mathematics
1 answer:
skad [1K]3 years ago
8 0
I hope this helps you

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You work in the upholstery department of a furniture factory.
sammy [17]

Answer:

total pay in 4 weeks is $ 1960.00

$ 12.25 per hour

Step-by-step explanation:

5 x 165= $ 825

6 x 110= $ 660

5 x 95= $ 475

____________

           $ 1960.00 dollars divided by 160 = 12.25

1960/ 160= 12.25

6 0
3 years ago
Need help with this problem!!
Nezavi [6.7K]

Answer:

Area:

4 x 4 = 16

Finding area of semi circle:

4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!

2^2<---your radius being squared = 4

4(radius squared) x 3.14(pi) = 12.56

12.56 divided by 2 since its a semi circle is = 6.28

6.28 + 16 = 22.28 is your area

Perimeter is:

4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12

Circumference:

Radius is 2,

2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56

12.56 divided by 2 = 6.28

6.28 + 12 = 18.28 is your perimeter.

Just a refresh:

Circumference Formula:

2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius

Area of a Circle Formula:

Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)

Another thing you should remember:

Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!

8 0
3 years ago
The 2003 Statistical Abstract of the United States reported the percentage of people years of age and older who smoke. Suppose t
Paul [167]

Complete Question

The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and non smokers uses a preliminary estimate of the proportion who smoke of 0.30.

a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02? use 95% confidence.

b. Assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. What is the point estimate of the proportion of smokers in the population?

c. What is the 95% confidence interval for the proportion of smokers in the population?

Answer:

a

n = 2017

b

\^ p = 0.2578

c

0.238  <  0.278

Step-by-step explanation:

Considering question a

From the question we are told that

    The margin of error is  E = 0.02

     The preliminary estimate of the proportion who smoke is  p = 0.30

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

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

   Z_{\frac{\alpha }{2} } =  1.96

Generally the sample size is mathematically  represented as  

      n = [ \frac{Z_{\frac{\alpha }{2} }  }{E} ] ^2  *  p(1 - p )

=>   n = [ \frac{1.96  }{0.02} ] ^2  *  0.30(1 -  0.30  )

=>   n = 2017

Considering question b

 From the question we are told that

   The number of smokers  is  k =  520  

Generally the  point estimate of the proportion of smokers in the population is mathematically represented as

        \^ p =  \frac{520 }{2017 }

=>    \^ p = 0.2578

Considering  question c

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>   0.2578 - 0.02 <  0.2578 + 0.02

=>   0.238  <  0.278

7 0
3 years ago
Which statement is true about this equation?
Karolina [17]

Answer:

infinite solutions

Step-by-step explanation:

-9(x+3) +12 = -3(2x+5)-3x

Distribute

-9x-27 +12 = -6x-15-3x

Combine like terms

-9x -15 = -9x-15

Add 9x to each side

-9x-15+9x = -9x-15+9x

-15 = -15

This is a true statement so it is true for all x

5 0
3 years ago
The Richter Scale gives a mathematical model for the magnitude of an earthquake in terms of the ratio of the amplitude of an ear
Alexeev081 [22]

Answer:

The magnitude of the claimed earthquake would be 13.67.

Step-by-step explanation:

The 1906 earthquake had a intensity of A and a magnitude of 7.8.

S is going to have the same value, so i am going to write as 1. So:

\log{A} = 7.8

A = 10^{7.8}

A = 63095734.448

Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco.

So A = 748180*63095734.448

So

R = \log{A} = \log{748180*63095734.448} = 13.67

The magnitude of the claimed earthquake would be 13.67.

8 0
3 years ago
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