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Margarita [4]
2 years ago
15

Maria is buying new carpet. Her bedroom is in the shape of a square and the length id each side is 12 feet. Write and simplify a

n exponential expression to find how much carpet she needs.
Mathematics
1 answer:
satela [25.4K]2 years ago
4 0

Answer: She needed 144 square feet of carpet.

Step-by-step explanation:

Given : Maria is buying new carpet. Her bedroom is in the shape of a square.

The length of each side is 12 feet.

We know that the area of square = (side)^2

So , the area of the bedroom = (12)^2  [which is an exponential expression]

Simplify it

The area of the bedroom = 12\times12=144\ \text{ft}^2

Also, the carpet she needed = Area of the bedroom.

Thus , She needed 144 square feet of carpet.

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Joey's dog weighs 102.45 pounds. Jimmy's dog weighs 25.38 pounds less.
kari74 [83]

 1.Since 5 is less than 8, borrow 1 from the next column to make 15.



 2.Calculate 15 - 8, which is 7.


 3.Calculate 3 - 3, which is 0.

 4.Since 2 is less than 5, borrow 1 from the next column to make 12.


 5.Calculate 12 - 5, which is 7.


6..<span>Calculate 9 - 2, which is 7.</span>

7.<span>Therefore, 102.45 - 25.38 = 77.07.</span>
8 0
2 years ago
Read 2 more answers
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys sev
Brilliant_brown [7]

Answer:

If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

Step-by-step explanation:

The information provided is as follows:

  • Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24.
  • Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.

The variable <em>x</em> is the number of pairs of pants.

The total cost function for Kelsey will be:

TC_{K}=17.95\cdot x+24

The total cost function for Jeana will be:

TC_{J}=18.95\cdot x+18

Consider that both pay the same total cost for their purchases.

Compute the value of <em>x</em> as follows:

            TC_{K}=TC_{J}

17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6

Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

7 0
2 years ago
A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports
hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

t  =  3.054

4

The p-value  is   p-value  =  P(Z >  3.054) = 0.0011291

5

The conclusion is  

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is  

Step-by-step explanation:

From the question we are told that

   The first sample size is  n_1  =  51

    The first sample  mean is \mu_1  =  36

    The second sample size is  n_2  =  41

    The second sample  size is  \mu_2  =  25

     The first standard deviation is  \sigma _1  =  21.4 \  g

    The second standard deviation is  \sigma _2  =  12.8 \  g

  The  level of significance is  \alpha =  0.05

The  null hypothesis is  H_o  :  \mu_1 = \mu_ 2

The  alternative hypothesis is  H_a :  \mu_1 > \mu_2

Generally the test statistics is mathematically represented as

    t  =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}  } }

=>   t  =  \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51}  + \frac{ 12.8^2}{41}  } }

=> t  =  3.054

The  p-value is mathematically represented as

     p-value  =  P(Z >  3.054)

Generally from the z table  

             P(Z >  3.054) =  0.0011291

=>   p-value  =  P(Z >  3.054) = 0.0011291

From the values obtained  we see that p-value  < \alpha so  the null hypothesis is rejected

Thus the conclusion is  

  There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0
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A certain shade of green paint is made from 5 parts yellow mixed with three parts blue if 2 cans of yellow are used how many can
wariber [46]
Because the ratio of yellow to blue can be expressed as 5/3, you would solve the equation 5/3= 2/x. To solve, you would get x alone by cross multiplying and getting 5x=6. Divide both sides by 5 and get 6/5 or 1 and 1/5 cans of blue paint
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What is the square root of r64?
ohaa [14]
Answer is r32 because it is the square root of an exponent you must divide it.
5 0
2 years ago
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