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2 years ago

7

Nyla purchased a dress for $42.60 including tax. The dress tag had an original sticker price of $40.00. What percent sales tax d

id Nyla pay on the dress? Show your work

2 answers:

frozen [14]2 years ago

8 0

Hey there, if you want to know the tax of 40 dollars. The answer is going too be 43.20. Or if you want to know just the tax its going to be 3.20.

The way i did this was to multiply 40 times 8 since each tax is 8 cents.

CaHeK987 [17]2 years ago

3 0

First you subtract the cost without tax from the cost with the tax: 42.60 - 40 = 2.60; Then you divide the part by the original price before tax: 2.60 ÷ 40 = 0.065; Multiply your answer by 100 to get the actual percent: 0.065 x 100 = 6.5. The percent of the sales tax would be 6.5%.

Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

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X - the number of sandwiches ordered
y - the number of soups ordered

There were 18 people, and each person ordered either one soup or one sandwich.
$x+y=18$

The sandwiches cost $7.75 each, the soups cost $4.50 each. The total cost was $113.50.
$7.75x+4.5y=113.5$

Set up a system of equations:
$x+y=18 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times (-4.5) \\
7.75x+4.5y=113.5 \\ \\
-4.5x-4.5y=-81 \\
\underline{7.75x+4.5y=113.5} \\
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10 sandwiches were ordered.
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2 years ago

What is the value of x if g^x-1-2= 25?

SVETLANKA909090 [29]

Answer:

Third option: $x=\frac{5}{2}$

Step-by-step explanation:

<h3> The correct exercise is attached.</h3>

The equation given is:

$9^{x-1}-2=25$

The steps to find the value of "x" are shown below:

1. Add 2 to both sides of the equation:

$9^{x-1}-2+2=25+2\\\\9^{x-1}=27$

2. Descompose 9 and 27 into their prime factors:

$9=3*3=3^2\\27=3*3*3=3^3$

3. Substitute them into the equation:

$3^{2(x-1)}=3^3$

4. Knowing that If $a^n=b^m$ , then $n=m$ , we get:

$2(x-1)=3$

5. Apply Distributive property:

$2x-2=3$

6. Add 2 to both sides:

$2x-2+2=3+2\\\\2x=5$

7. Divide both sides of the equation by 2:

$\frac{2x}{2}=\frac{5}{2}\\\\x=\frac{5}{2}$

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2 years ago

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A survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This

podryga [215]

Answer:

test statistic (Z) is 2.5767 and p-value of the test is .009975

Step-by-step explanation:

$H_{0}$ : percentage of students who smoke did not change

$H_{a}$ : percentage of students who smoke has changed

z-statistic for the sample proportion can be calculated as follows:

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

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p is the proportion of smoking students in the survey conducted five years ago (18% or 0.18)
N is the sample size (200)

Then, z= $\frac{0.25-0.18}{\sqrt{\frac{0.18*0.82}{200} } }$ ≈ 2.5767

What is being surveyed is if the percentage of students who smoke has changed over the last five years, therefore we need to seek two tailed p-value, which is .009975.

This p value is significant at 99% confidence level. Since .009975 <α/2=0.005, there is significant evidence that the percentage of students who smoke has changed over the last five years

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2 years ago

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Answer:

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Part 2) $y+6=\frac{5}{2}(x+2)$

Step-by-step explanation:

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we're going to analyze two cases

<em>First case</em>

$Point\ (-2,-6)$

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substitute

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therefore

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<em>Second case</em>

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substitute

$y+6=\frac{5}{2}(x+2)$

therefore

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<h2>Answer:</h2>

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<h2>Step-by-step explanation:</h2>

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2 years ago

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