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3 years ago

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Derek’s favorite clothing store is having their annual fall sale. All clothing is 25 percent off. A shirt he really likes has an

original price of $28. Derek has $24 in his wallet. He is wondering if he has enough money to buy the shirt now that it is on sale. He knows he must also pay sales tax. The sales tax rate is 8 percent and is calculated on the discounted price. Does Derek have enough money to buy the shirt? Justify your answer. Your explanation should contain answers to the following questions:
1. What is the amount of the discount?
2. What is the sale price?
3. How much will Derek pay in sales tax?
4. What is the total cost of the shirt?
5. Does Derek have enough money to buy the shirt?

1 answer:

Anarel [89]3 years ago

4 0

I'll come back to you

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There are 150 students in the fifth grade in Washington Elementary School. 2/5 of the students like soccer best and 3/10 of them

monitta

Answer:

The fraction of students who likes soccer or basketball is 7/10.

Step-by-step explanation:

In this case we have two groups of students, the group a is the one that prefers soccer, while the second group is the one that prefers basketball. We then need to find the fraction that represents the students that are in either group, in these cases we need to take the fractions of each group and sum them. So we have:

soccer OR basketball = soccer + basketball

soccer OR basketball = 2/5 + 3/10

Through LMC we have:

soccer OR basketball = (2*2 + 3)/10 = (4 + 3)/10 = 7/10

The fraction of students who likes soccer or basketball is 7/10.

3 0

3 years ago

Vanessa wants to purchase a new cell phone plan. The two plans from which she can choose are shown below. Vanessa used the syste

user100 [1]

Answer:

2. 325 minutes.

Step by step explanation:

We will substitute our given number of minutes in our both equation one by one to find the correct option.

1. Let us substitute m= 775 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 775$

$CA=22+100.75=122.75$

$CB=44+0.09(m-100)$

$CB=44+0.09(775-100)$

$CB=44+0.09\cdot675$

$CB=44+60.75=104.75$

$104.75\neq122.75$

We can see that both plans have different costs , therefore, 1st option is incorrect.

2. Let us substitute m= 325 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 325$

$CA=22+42.25=64.25$

$CB=44+0.09(m-100)$

$CB=44+0.09(325-100)$

$CB=44+0.09\cdot 225$

$CB=44+20.25=64.25$

$64.25=64.25$

When Vanessa has used the phone for 325 minutes, the cost for Plan A and the cost for Plan B will both be $64.25.Therefore, 2nd option is correct choice.

3. Let us substitute m= 32.5 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 32.5$

$CA=22+4.225=26.225$

$CB=44+0.09(m-100)$

$CB=44+0.09(32.5-100)$

$CB=44+0.09\cdot -67.5$

$CB=44-6.075=37.925$

$37.925\neq26.225$

4. Let us substitute m= 764 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 764$

$CA=22+99.32=121.32$

$CB=44+0.09(m-100)$

$CB=44+0.09(764-100)$

$CB=44+0.09\cdot 664$

$CB=44+59.76=103.76$

$121.32\neq103.76$

Therefore, 4th option is incorrect.

3 0

3 years ago

I need the answer now please

xxMikexx [17]

Answer:

180/147

Step-by-step explanation:

We need to find the additive inverse of the given numbers.

For finding it we may simply out -1 as multiplication in front of the terms .

<u>SOLUTION</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u>

→ 3/-7 - 11/21

→ -3/7 -11/21

→ 3×-3 - 11 /21

→ -9-11/21

→ -20/21

<u>SOLUTION</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>

→ 9/5 ÷ 7/5

→ 9/5 × 5/7

→ 9/7

→ Product of nos . = -20/21 × -9/7

→ Ans = 180/147

7 0

3 years ago

Mrs. Crosby had 350 sheets of paper. She used 8 sheets of paper for a craft. She then gave each student 4 sheets of paper. Which

Vera_Pavlovna [14]

B = 2 i had this question

8 0

2 years ago

Can you check my work

gregori [183]

I do not see anything wrong with it

7 0

3 years ago