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valentinak56 [21]
3 years ago
7

Pedro's Diner is open six days a week. His income for the first five days this week was

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

$330

Step-by-step explanation:

What is mean/average?

It is the "sum of all the numbers" divided by the "number of numbers".

An average of 200 for 6 numbers means:

Average=\frac{SUM}{NumberOfNumbers}\\200=\frac{SUM}{6}\\SUM=200*6\\SUM=1200

THus, if we were to add the 6 numbers, we would get "1200". Let the 6th number be x, so we can write:

120 + 110 + 200 + 300 + 140 + x = 1200

870 + x = 1200

x = 1200 - 870

x = 330

To make the average $200, Pedro needs to make $330 on 6th day.

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uysha [10]

Answer:

Volume of hemisphere =

\frac{2}{3} \pi \: r {}^{3}

Given volume =

18\pi \: cube

\frac{2}{3}   \times \frac{22}{7}  \:  {r}^{3}  = 18 \times  \frac{22}{7}

So pi is there on both the sides so it will be cut from both LHS and RHS

\frac{2}{3}  \times r  {}^{3}  = 18

2 \times r {}^{3 }  = 18 \times 3

2 \times r {}^{3}  = 54

r {}^{3}  =  \frac{54}{2}

r {}^{3}  = 27

r = 3

Therefore value of r=3 inches

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3 0
3 years ago
Read 2 more answers
Which number is rational?<br> square root 2<br> 3.4<br> square root 10<br> square root 16
IRINA_888 [86]

Answer:

3.4

Step-by-step explanation:

3.4 is able to be converted into a fraction so it is rational.

3 0
4 years ago
What is the area of ABC below? If necessary, round your answer to two decimal places.
sattari [20]
Based on the given figure above, in order for us to find the area of the triangle, we need to find the value of the base first. So in finding the base, we are going to use the Pythagorean theorem. a2 + b2 = c2. Substitute the values.
(9.4)^2 + (23.2)^2 = c2
88.36 + 538.24 = c2
626.6 = c2
c= 25.03
Now that we have the base, let us proceed for the Area.
The formula for area would be A = 1/2 (b)(h)
Plug in the values.
A = 1/2(25.03)(7.9)
A= 1/2(197.74)
A= 98.87
Therefore, the area of figure ABC is 98.87.
Hope this answer helps.
3 0
4 years ago
Read 2 more answers
Consider the line y=-5x+7. Find the equation of the line that is perpendicular to this line and passes through the point (-3, 4)
Zinaida [17]

Answer:

Perpendicular: y = 1/5x + 23/5

Parallel: y = -5x - 11

Step-by-step explanation:

Perpendicular:

Take note: Perpendicular lines have the negative, reciprocal slopes:

y-y_1=-1/m(x-x_1)\\y-4=1/5(x+3)\\y-4=1/5x+3/5\\y=1/5x+3/5+20/5\\y=1/5x+23/5

Parallel:

Take note: Parallel lines have the same slope:

y-y_1=m(x-x_1)\\y-4=-5(x+3)\\y-4=-5x-15\\y=5x-15+4\\y=5x-11

4 0
3 years ago
Rachel Perez rented a car for 3 days at $40.00 per day, plus $0.20 per mile. To protect herself in case of an accident, she purc
expeople1 [14]

Answer:

$290.

Step-by-step explanation:

We have been given that Rachel Perez rented a car for 3 days at $40.00 per day.

\text{The cost of renting a car for 3 days}=3\times \$40

\text{The cost of renting a car for 3 days}=\$120

We are also told that she pays $0.20 per mile for renting the car. As she covered a total distance of 500 miles, so cost of renting car foe 500 miles will be:

\text{Cost of renting the car for 500 miles}=500\times \$0.20

\text{Cost of renting the car for 500 miles}=\$100

As Rachel purchased the collision deductible for $10.00 per day to protect herself in case of an accident, so cost of collision deductible for 3 days will be:

\text{The cost of collision deductible for 3 days}=3\times \$10

\text{The cost of collision deductible for 3 days}=\$30

She also paid $40 for gasoline to cover 500 miles, so we can find total cost to rent the car for 3 days to cover 500 miles by adding all the expenses.

\text{The total cost to rent the car}=\$120+\$100+\$30+\$40

\text{The total cost to rent the car}=\$290

Therefore, the total cost to rent the car was $290.

8 0
3 years ago
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