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2 years ago

Johan can drive 270 miles on 9 gallons of gas. What is his average mileage?

Mathematics

2 answers:

cupoosta [38]2 years ago

7 0

Answer:

30 miles per gallon

Step-by-step explanation:

1. 30 miles per gallon since 360/12 = 30

2. 270 / 9 = 30

VladimirAG [237]2 years ago

4 0

Hey there!

The correct answer is 30 miles per gallon.

If he can drive 270 miles on 9 gallons, we want to find the unit rate, or miles per gallon. We can do this by dividing 270 by 9. To make it easier, we will take off the zero, and do 27/9, which is 3. Now we add the 0 back on, which gives us 30. Therefore, his average mileage is 30 miles per gallon.

Have a terrificly amazing day! :D

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Which equation represents the horizontal line passing through (5, 3)?

Viktor [21]

Step-by-step explanation:

General equation for horizontal line: y = a

Since the point (5, 3) has y-value 3,

the equation of the horizontal line is y = 3.

7 0

2 years ago

A first number plus twice a second number is 13. Twice the first number plus the second totals 14. find the numbers

sashaice [31]

Answer:

the first number is 5 the second number is 4

Step-by-step explanation:

first number = x

second number = y

X+2y=13 given this isolate x x = 13-2y

2x+y=14 substitute 13-2y for x

2(13-2y)+y=14

26-4y+y=14

-3y=-12

y=4 taking this number substitute into either equation above

x+2(4)=13

x+8=13

x=5

4 0

3 years ago

X(x+3) + 34 = (x +5)(x+2)

My name is Ann [436]

X(x + 3) + 34 = (x + 5)(x + 2)

First, expand to remove parentheses.
$x^{2} + 3x + 34 = x^{2} + 2x + 5x + 10$
Second, add '2x + 5x' to get '7x'.
$x^{2} + 3x + 34 = x^{2} + 7x + 10$
Third, cancel out ' $x^{2}$ ' on both sides.
$3x + 34 = 7x + 10$
Fourth, subtract '3x' from both sides.
$34 = 7x + 10 - 3x$
Fifth, subtract '7x - 3x' to get '4x'.
$34 = 4x + 10$
Sixth, subtract '10' from both sides.
$34 - 10 = 4x$
Seventh, subtract '34 - 10' to get '24'.
$24 = 4x$
Eighth, divide both sides by '4', leaving the 'x' by itself.
$\frac{24}{4} =x$
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
$6 = x$
Tenth, switch your sides to get the answer.
$x = 6$

Answer: x = 6

4 0

3 years ago

Light travels at approximately 2.998*10^5 kilometers per second. There are 6.048*10^5 seconds in one week. About how many kilome

BartSMP [9]

Answer:

okay, you have pay special attention to time.i.e 60secs = 1 minute, 60 minutes = 1 hour, 24 hours in one day, and 7 days in one week. No. of seconds in one week we are told is 6.1048 x 10 ^5 seconds.

Step-by-step explanation:

s = d/t [ speed = distance/time]

therefor, rearranging, we get d = s x t

Since speed = 2.998*10^5 Km/s and time = 6.048^10^5

d = (2.998 x 10^5) x (6.048 x10^5) = (2.998 x 6.048) x 10 ^(5+5)

d = 18.131904 X 10^10 km

d = approximately 18.132 x 10^10 km (to 3 decimal places)

6 0

3 years ago

Please help it is a test

irakobra [83]

Answer:

c. -17

Step-by-step explanation:

We have the function f(x) = -2t^2 + 1 and we need to solve for x if f(-3).

Substitute the x in the function with the x in the equation :

f(-3) = -2(-3)^2 + 1

Solve for the answer :

f(-3) = -2(9) + 1

f(-3) = -18 + 1

f(-3) = -17

Therefore, c. -17 is the answer.

7 0

3 years ago