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Marat540 [252]
3 years ago
10

Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 630 miles on 15 gallons

of gas. How far could you drive on 50 gallons of gas?
Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0

Answer:

2,100 miles

Step-by-step explanation:

<u>Step 1-</u> Find the miles the car can travel per gallon

630 miles/ 15 gallons=42 miles per gallon

<u>Step 2-</u> Multiply the miles per gallon by the number of gallons being used

42x50=2,100 miles

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The admission fee at an amusement park is $3.50 for children and $7.00 for adults. On a certain day, 331 people entered the park
andriy [413]

Let c be children and a adults.

3.5c + 7a = 1771 (the total revenue is equal to the amounts made off of people)

c + a = 331 (total number of people)

The second formula becomes a = 331 - c. This can be substituted into the first formula.

3.5c + 7(331 - c) = 1771 = 7*331 - 3.5c = 1771. 7*331 = 2317, so 3.5c = 2317 - 1771 = 546.

546/3.5 = 156 = c (number of children).

c + a = 156 + a = 331 => a = 331 - 156 = 175 (number of adults).

There are 156 children and 175 adults

6 0
3 years ago
Read 2 more answers
Find the total area for the regular pyramid T.A. =
Stolb23 [73]

Answer:

The answer to your question is At = 48 + 36\sqrt{3}

Step-by-step explanation:

Area = Area of the base + Lateral area

a) Area of the base

    Area = length x height / 2

    length = 12

    height² = 12² - 6²

                 = 144 - 36

                 = 108

    height = \sqrt{108} = 6\sqrt{3}

    Area = 12 x 6\sqrt{3} / 2

              = 36\sqrt{3}

b) Lateral area

   height² = 10² - 6²

                = 100 - 36

                = 64

   height = 8

   Area = 12 x 8/2

            = 48

c) Total area

   At = 48 + 36\sqrt{3}

4 0
2 years ago
Mike withdrew $32 from his bank account. The transaction slip said his balance was $289.14. What was his previous balance?
Temka [501]
<span>His previous balance was $321.14
289.14 + 32 = 321.14

hope this helps
</span>
4 0
3 years ago
Write the number in standard form.<br> 2 x 102
NARA [144]

Answer:

210

Step-by-step explanation:

5 0
3 years ago
A fitted multiple regression equation is Y = 28 + 5X1 - 4X2 + 7X3 + 2X4. When X1 increases 2 units and X2 increases 2 units as w
ad-work [718]

Answer:

A. Increase by 2

Step-by-step explanation:

Given that a  fitted multiple regression equation is

Y = 28 + 5X_1 -4X_2 + 7X_3 + 2X_4

This is a multiple regression line with dependent variable y and independent variables x1, x2, x3 and x4

The coefficients of independent variables represent the slope.

In other words the coefficients represent the rate of change of y when xi is changed by 1 unit.

Given that x3 and x4 remain unchanged and x1 increases by 2 and x2 by 2 units

Since slope of x1 is 5, we find for one unit change in x1 we can have 5 units change in y

i.e. for 2 units change in x1, we expect 10 units change in Y

Similarly for 2 units change in x2, we expect -2(4) units change in Y

Put together we have

10-8 =2 change in y

Since positive 2, there is an increase by 2

A. Increase by 2

5 0
3 years ago
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