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3 years ago

Please help, thank you! :)

Mathematics

1 answer:

maria [59]3 years ago

6 0

Sales tax rate for the above sweater is charged at the rate of 8%

Step-by-step explanation:

Sweater’s cost initially- 28$

Cost of Sweater after 30.24$

Sales tax rate deducted?

Analysing the above-provided details we conclude that an increase in the cost was probably due to the addition of sale tax.

Sales tax charged= Cost of the sweater after charging- initial cost

= 30.24$-28$

=2.24$

Percentage of sales tax charged= (sales tax charged/initial cost) *100

Substituting the values of the sales tax and initial cost in the above-provided equation-

= (2.24/28) *100

=8%

Hence the Sales tax charged at the sweater was 8%

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Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?

pishuonlain [190]

we have

$y=2x^{2} -8x+9$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-9=2x^{2} -8x$

Factor the leading coefficient

$y-9=2(x^{2} -4x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$y-9+8=2(x^{2} -4x+4)$

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

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3 years ago

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Answer:

x=-5

Step-by-step explanation:

25 - 3x = 40

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3 years ago

Read 2 more answers

From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees ar

murzikaleks [220]

Answer:

(a) 896

(b) 1000

Step-by-step explanation:

Number of women = 8

Number of men = 6

A committee consisting of 3 men and 3 women is to be formed.

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Number of men who don't want to serve together = 2

Remaining men = 4

Total ways = Both men who don't want to serve together are not selected + only one of them is selected.

$^{8}C_{3}\cdot ^{4}C_{3}+^{8}C_{3}\cdot ^{4}C_{2}\cdot ^{2}C_{1}$

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(b) 2 of the women refuse to serve together.

Number of women who don't want to serve together = 2

Remaining men = 6

Total ways = Both women who don't want to serve together are not selected + only one of them is selected.

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3 years ago

Using rigid motion, which statement is true about the triangles?

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Answer:

ABC is congruent to DEF

Step-by-step explanation:

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2 years ago

After Marshall's alarm went off, he spent 3/4 hr getting ready for school. He walked 1/6 hr to the bus stop, waited 1/12 hr, rod

natka813 [3]

Answer:

7:15 am

Step-by-step explanation:

1. Add the times together by finding a common denominator

3/4 = 9/12

1/6 = 2/12

1/12 = 1/12

1/4 = 3/12

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It took him 15/12 of an hour in total.

2. Convert to hours

15/12 = 1 3/12

3/12 = 1/4

1/4 of an hour is 15 minutes.

I took him a total of 1 hour and 15 minutes.

3. Subtract 1 hour and 15 minutes from 8:30

8:30 - 1:15 = 7:15

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3 years ago