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AlladinOne [14]
3 years ago
10

the price of family dinner was $48.00 . A sales tax of 5% to the final bill. The family left a $10.08 tip. If the family include

d the sales tax when calculating the tip, what percent tip did the family leave?
Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

Answer:

20% tip

Step-by-step explanation:

Dinner:  $48.00

Tax:  0.05($48.00) = $2.40

Total (final) bill before tip:  $50.40

Tip:  $10.08

Percentage tip was then $10.08 (100%) / $50.40 = 20%

The family left a 20% tip.

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Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______
Vesna [10]

Answer:

c = 11

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

a = b= 5

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

a + b > c

a + c > b

b + c > a

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: a = b= 5

5 + 5 > c ===> 10 > c

5 + c > 5  ===> c > 5 - 5 ===> c > 0

5 + c > 5  ===> c > 5 - 5 ===> c > 0

The results of the inequality is: 10 > c and c > 0

Rewrite as: c > 0 and c < 10

0 < c < 10

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

c = 11, since no options are given

8 0
2 years ago
Sara owns a paint shop that makes custom paints. To make one gallon of a specialty color, she needs 4 royal blue units that each
jekas [21]
I think the answer is 1.97 hope it helps you
6 0
3 years ago
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number? A.
rusak2 [61]

Answer:

The answer is c

Step-by-step explanation:

You have to do everything backwards,

-9 divide it by 3 to get -3, then add seven to that answer

5 0
2 years ago
Read 2 more answers
Use the Distributive Property to find the price of 5 CDs that cost $15.99 each.
blsea [12.9K]
15,99*5=79.95

The answer is 79,95 $
3 0
3 years ago
Read 2 more answers
A student determined that the area of the segment of c shown above is Asegment = 137.71 ft2. The student's work is shown below.
ivolga24 [154]

Answer:

Option D. The student did not use the correct formula to calculate the area of the segment

Step-by-step explanation:

step 1

Find the area of the isosceles triangle

Applying the law of sines

A=\frac{1}{2}(12^{2})sin(60\°)=62.35\ ft^{2}

step 2

Find the area of the sector

The area of the sector is 1/6 of the area of the circle

so

A=\pi r^{2}/6

substitute the value

A=(3.14)(12)^{2}/6=75.36\ ft^{2}

step 3

Find the area of the segment

The area of the segment is equal to the area of sector minus the area of triangle

A=75.36\ ft^{2}-62.35\ ft^{2}=13.01\ ft^{2}

therefore

The student did not use the correct formula to calculate the area of the segment

4 0
2 years ago
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