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rewona [7]
3 years ago
13

chet needs to buy 4 work shirts,all costing the same amount .the total cost before chet appplies a $25 gift certificate can be n

o more than $75.write an inequality to find the possible amounts that chet pays per shirt.
Mathematics
1 answer:
Rashid [163]3 years ago
5 0
So for this problem, let us use x as the cost before Chet would apply a $25 gift certificate. Based on the problem, we can see that the original cost of the product cannot be more than 75 which means that it can be equal to 75 or less than 75. We can actually express the inequality as x< or = 75 since we are looking for the cost before Chet applied the $25 gift certificate. This means that we do not need to add in the 25 yet since the question asks for the cost before the application of the discount. 
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How many eighths are there in six and three quarters
Alex787 [66]
That questions has to do with equivalent fractions, express a fraction in eights.
six and three quarters
= 6 3/4
<span>= 6 + 3/4
</span>= 24/4 + 3/4
= 27/4
and to convert that fraction to eights, just multiply numerator and denominator by 2:
= (27*2)/(4*2)
= 54/8
there are 54 eights in six and three quarters
3 0
3 years ago
A cereal company's cost, in thousands of dollars, is represented by the function C(x)=2x+4500 and its revenue, in thousands of d
jekas [21]

Given , revenue function : R(x)= 5x

Cost function C(x) = 2x+4500

Profit  = Revenue - Cost

Hence, P = R(x) - C(x)

Total revenue for x = 12000 is R(12000) = 5(12000) = 60000

Total cost for x = 12000, C(12000) = 2(12000)+4500 = 28500

Profit = 60000-28500 = 31500

Answer = 31500

6 0
3 years ago
The sum of three numbers is 51 . the second number is 2 times the third. the third number is 9 more than the first. what are the
hammer [34]
X+y+z=51

y=2z
z=9+x

subsitute those

x+2z+9+x=51
x+2(9+x)+9+x=51
x+18+2x+9+x=51
4x+27=51
minus 27 both sides
4x=24
divide by 4
x=6

sub back

z=9+x
z=9+6
z=15

y=2z
y=2(15)
y=30

the numbers are
6,30,15
8 0
3 years ago
Read 2 more answers
What is 4 to the -2 power divided by 4 to the 4th power
igomit [66]

Answer:

4 to the -2 power divided by 4 to the 4th power

\frac{ {4}^{ - 2} }{ {4}^{4} }  =  \frac{1}{( {4}^{2} \times  {4}^{4} ) }  =  \frac{1}{ {4}^{(2 + 4)} }  =  \frac{1}{ {4}^{6} }  =  \frac{1}{4096}\\

<h3>(1/4096) is the right answer.</h3>
7 0
3 years ago
A researcher conducted an experiment to investigate the effectiveness of a medicated lotion in treating a skin irritation. A gro
Helga [31]

Answer:

It can be concluded that the medicated lotion has an effect on treating skin irritations.

Step-by-step explanation:

In this case we need to determine whether the medicated lotion was effective in treating the skin irritation or not.

The hypothesis can be defined as follows:  

<em>H₀</em>: There is no difference between the two proportions, i.e. <em>p</em>₁ - <em>p</em>₂ = 0.  

<em>Hₐ</em>: There is a significant difference between the two proportions, i.e. <em>p</em>₁ - <em>p</em>₂ ≠ 0.  

The information provided is:

n₁ = 40

n₂ = 40

X₁ = 36

X₂ = 16

Compute the sample proportions and total proportions as follows:

 \hat p_{1}=\frac{36}{40}=0.90\\\\\hat p_{2}=\frac{16}{40}=0.40\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{36+16}{40+40}=0.65

Compute the test statistic value as follows:

 z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}=\frac{0.90-0.40}{\sqrt{0.65(1-0.65)[\frac{1}{40}+\frac{1}{40}]}}=4.69

The test statistic value is 4.69.

The decision rule is:

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level.

Compute the <em>p</em>-value as follows:

 p-value=2\times P(Z

The <em>p</em>-value of the test is very small.

The null hypothesis will be rejected at any significance level.

Thus, there is a significant difference between the two proportions.

So, it can be concluded that the medicated lotion has an effect on treating skin irritations.

6 0
3 years ago
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