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3 years ago

a car traveled at an average speed of 80 miles per hour for 3 hours and consumes fuel at a rate of 34 miles per gallon

1 answer:

7 0

As an example I will finish this problem statement for you:

"<span>A car traveled at an average speed of 80 miles per hour for 3 hours and consumes fuel at a rate of 34 miles per gallon. How many gallons of fuel will the car use on this trip?

Distance traveled is (80 mph)(3 hrs) = 240 miles.

How many gallons of gas did the car consume?

240 miles 1 gallon
-------------- * -------------- = 7.06 gallons (approx)
1 34 miles</span>

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Find an equation of the line through (1,8) and parallel to y = 4x +3. Write the equation using function notation.

brilliants [131]

Answer:

f(x) = 4x + 4

Step-by-step explanation:

When a line is parallel to another line, the slopes are always equal. Therefore, the coefficient for x has to be four. If you multiply the y-coordinate by 4, you get 4. To get 8, you have to add four, so the equation is simply f(x) = 4x+4.

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2 years ago

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Find the length of side x I simplest radical form

alekssr [168]

Answer:

Option A

Step-by-step explanation:

By applying Pythagoras theorem in ΔABC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

AC² = AB² + BC²

AC² = 6² + 5²

AC = $\sqrt{61}$

Similarly, by applying Pythagoras theorem in ΔACD,

AD² = AC² + CD²

(10)² = $(\sqrt{61})^2$ + x²

x² = 100- 61

x² = 39

x = √(39)

Option A will be the answer.

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2 years ago

( -6p - 8 ) - ( 2p - 6 ) plz :)

jarptica [38.1K]

Answer:

-8p-14

Step-by-step explanation:

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2 years ago

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Three numbers are in the ratio 6:3:1, and the sum of these numbers is 420. If the first number is reduced by 50%, and the second

Naily [24]

$x:y:z\ \ \ \Leftrightarrow\ \ \ 6:3:1\\ \\ \frac{x}{z} =\frac{6}{1}\ \ \ \Rightarrow\ \ \ x=6z\ \ \ \ \ \ \ and\ \ \ \ \ \ \ \frac{y}{z} =\frac{3}{1}\ \ \ \Rightarrow\ \ \ y=3z\\ \\x+y+z=420\ \ \ \Rightarrow\ \ \ 6z+3z+z=420\ \ \ \ \Rightarrow\ \ \ \ 10z=420\ /:10\\ \\z=42\ \ \ \Rightarrow\ \ \ \ x=6\cdot42=252\ \ \ \ and\ \ \ \ y=3\cdot42=126\\ \\ \\a=x-50\%x=50\%x= \frac{1}{2} \cdot252=126=3\cdot42\\ \\b=y+42=126+42=168=4\cdot42\\ \\c=420-126-168=126=3\cdot42\\ \\a:b:c\ \ \ \Leftrightarrow\ \ \ 3:4:3$

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3 years ago

What the percent change from 50; 35

il63 [147K]

50 -> 35=change by 15
change by 5=10%
so multiply by 3
3(5)=3(10%)
15=30%

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3 years ago