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2 years ago

Estimate a 15% tip on a dinner bill of 31.51 by first rounding the bill amount to the nearest ten dollars.

Mathematics

1 answer:

tino4ka555 [31]2 years ago

7 0

Answer: The estimated 15% tip would be $4.50.

Step-by-step explanation: Basically, first you will need to round the bill amount, $31.51 to the nearest ten dollars. 31.51 rounded to the nearest ten dollars is $30. Next, you will need to find the estimated tip amount. To do this multiply $30 by the tip 15%. Before you can find the tip amount, you will need to covert 15% to a decimal. To convert 15% to a decimal, divide 15 by 100 to get 0.15. Now, you can multiply 30 by 0.15 to get 4.50. So, $4.50 would be the tip if $31.51 was rounded to the nearest ten dollars.

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Question 12

soldi70 [24.7K]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 3/4 full. How much gas is still in the tank?

Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

Answer:

$Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\$

Step-by-step explanation:

The tank for a car holds 17 gallons.

The gasoline gauge of the car shows that the tank is 3/4 full.

We are asked to find the remaining gasoline in the tank.

$Gas \: \:left = \frac{3}{4} \times 17 \\\\Gas \: \:left = \frac{51}{4} \\\\Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\$

Therefore, the remaining gas in the tank is $12\frac{3}{4}$ gallons.

Alternatively:

$1 - \frac{3}{4} = \frac{1}{4}$

Amount of gasoline consumed = $\frac{1}{4} \times 17 = \frac{17}{4}$

Amount of gasoline left = total - consumed

Amount of gasoline left = $17 - \frac{17}{4} = 12\frac{3}{4} \:\: gallons$

6 0

3 years ago

Help me please!!!!! I need help with angles

Salsk061 [2.6K]

Answer:

<CFE = 28

<RPQ = 53

Step-by-step explanation:

<CFE + 152 = 180

<CFE = 180 - 152

<CFE = 28

Complementary means the angles add up to 90 so:

<RPQ + 37 = 90

<RPQ = 90 - 37

<RPQ = 53

4 0

2 years ago

In a movie theater, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie thea

Harman [31]

Answer:

26 rows

Step-by-step explanation:

this is like a rectangle length×width situation.

seats per row = s

number of rows = r

s × r = 884

s = r + 8

so, we can use e.g. the second equation in the first :

(r + 8) × r = 884

r² + 8r = 884

r² + 8r - 884 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = r

a = 1

b = 8

c = -884

r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =

= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =

= (-8 ± 60)/2 = -4 ± 30

r1 = -4 + 30 = 26

r2 = -4 - 30 = -34

a negative number did not make any sense for the number of rows, so r = 26 is our answer.

8 0

1 year ago

Someone answer quick<br>A),B), and C)

Julli [10]

Step-by-step explanation:

a. 3 1/7 b. 3 1/6 and c. 2

8 0

2 years ago

Read 2 more answers

Need help I forgot how to do this

Marat540 [252]

Answer:

Step-by-step explanation:

you have to find the discriminant

b²-4ac for each equation

if discriminant < 0 no real solutions because will be negative under the squareroot whhan you try to find the roots

if discriminant = 0 there is only one solution

if discriminant > 0 two real solutions

for your given problems

A. discriminant =(-2)²-4*2*15 will be negative

8 0

2 years ago