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ivann1987 [24]
3 years ago
10

Janelle is planning to rent a car while on vacation. The equation C=0.32m + 15 models the relation between the cost in dollars,

C, per day and the number of miles, m,she drives in one day. Find the cost on a day when Janelle drives the car 400 miles.
Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answer:

cost when 400 miles is driven is $143.

Step-by-step explanation:

Model for cost calculation: C=0.32m + 15

We have to find cost when no. of miles driven is 400.

To find that cost we need to plug 400 in place of m.

C=0.32m + 15

=> c = 0.32*400 + 15

=> c = 128 + 15 = 143

Thus, cost when 400 miles is driven is $143.

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Linda is twice the age of Vera.
Paladinen [302]

Answer:

Tanya is 20 years old

Step-by-step explanation:

Let the age of Vera = x years

The age of Linda is twice the age of Vera = 2x years

Tanya  is four less than four times the age of Linda = 4(2x)-4 = 8x-4

Total age of Vera, Linda and Tanya is:

x+2x+8x-4

Combine the like terms:

11x-4

But now their total age is two more than nine times the age of Vera:

11x-4 = 9x+2

Solve the expression

Combine the like terms:

11x-9x=2+4

2x=6

Divide both the sides by 2

2x/2 = 6/2

x= 3

Thus the age of Vera is 3 years.

The age of Linda is 2x= 2*3 = 6 years

The age of Tanya is 8x-4 = 8*3 - 4 = 24-4 = 20years....

7 0
3 years ago
Joy makes 6.5 litres of soup, correct to the nearest 0.5 litre. She serves the soup in 280 ml portions, correct to the nearest 1
Levart [38]

Answer:

Joy definitely does have enough soup for 22 people.


Step-by-step explanation:

Upper Bound: 285ml  turn it to 0.285 L                      10÷2=5

280ml  :

Lower Bound: 275ml turn it  to 0.275 L

Upper Bound: 6.75 L                           0.5÷2=0.25

6.5 Litters  :

Lower Bound:6.25  L

6.75÷0.275=24.54 or 25  

6.25÷0.285=21.92 or 22

7 0
3 years ago
Read 2 more answers
Geometry!!!!!!!!!!!!!!!!!!!!!!!!
Stella [2.4K]

<u>Given</u>:

Given that O is the center of the circle.

The radius of the circle is 3 m.

The measure of ∠AOB is 30°

We need to determine the length of the major arc ACB

<u>Measure of major ∠AOB:</u>

The measure of major angle AOB can be determined by subtracting 360° and 30°

Thus, we have;

Major \ \angle AOB=360-30

Major \ \angle AOB=330^{\circ}

Thus, the measure of major angle is 330°

<u>Length of the major arc ACB:</u>

The length of the major arc ACB can be determined using the formula,

<u></u>m \widehat{ACB}=(\frac{\theta}{360})2 \pi r<u></u>

Substituting r = 3 and \theta=330, we get;

m \widehat{ACB}=(\frac{330}{360})2 \pi (3)

m \widehat{ACB}=\frac{1980}{360}\pi

m \widehat{ACB}=5.5 \pi

Thus, the length of the major arc ACB is 5.5π m

8 0
3 years ago
Suppose a lake has a surface area of about 748 acres and an average depth of about 18 feet. About how many cubic feet are in the
zloy xaker [14]

Answer: There are 13464 cubic feet in the lake.

Step-by-step explanation:

Since we have given that

Surface area of lake = 748 acres

Average depth of lake = 18 feet

So, Volume of lake would be

Surface area of lake × Average depth

=748\times 18\\\\=13464

Hence, there are 13464 cubic feet in the lake.

6 0
3 years ago
A.(1.50,-.50)<br> B.(2,5) or (5,5)<br> C. Infinite solutions <br> D. No real solutions
AlekseyPX
It would have to be awnser choice (a  thank me
8 0
3 years ago
Read 2 more answers
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