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dlinn [17]
2 years ago
10

A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of

15 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1625 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of
the two cars that week?
Mathematics
1 answer:
lesya692 [45]2 years ago
4 0

Answer:

first car = 35, second car= 15

Step-by-step explanation:

40x+15y=1625

x+y=50

multiplying the 2nd by -15 and add the 2 equations, we get x= 35 and by substituting on second equation we get y= 15

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A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it
34kurt

Answer:

16 inches

Step-by-step explanation:

<em>Note: it should say 56π inches instead of 56 inches otherwise no option is correct</em>

<u>Given</u>

  • Diameter of the wheel = 16 in

<u>Full circumference of the wheel </u>

  • C =πd = 16π

<u>Bike moves </u>

  • 56π

<u>The wheel turns:</u>

  • 56π /16π = 3.5 times

We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches

3 0
3 years ago
adams car can travel 450 miles on a full tank of gas. his gas tank can hold 15 gallons. kennys car can travel 416 miles on a ful
Elden [556K]
450/15 = 30 mpg -- Adam's
416/13 = 32 mpg -- Kenny's

Kenny is going to get the better gas mileage at 32 mpg (miles per gallon)

8 0
3 years ago
Ellie practices piano 2/3 h per day, several days each week. She practiced piano 32 2/3 hours during the summer. What equation c
SVEN [57.7K]

hello :)

so let me just give you the answer first:

2/3 * d = 32 2/3

here is why

so since the sentence said 2/3 PER day, then d (the number of days) multiplied by the time spent each day playing piano should give you how much time was spent in total over the certian number of days.

the 32 2/3 is just the amount of time ellie spent (as you have said)

so, this equation would be the correct one.

i hope this helped you out! please vote me for brainliest and have splendid day!

4 0
3 years ago
Point b is the midpoint of ac-. if ab= 4x+2 and ac=10x-6, find the length of ac
Natasha2012 [34]

let's bear in mind that B is the midpoint and thus it cuts a segment into two equal halves.

\bf \underset{\leftarrow \qquad \textit{\large 10x-6}\qquad \to }{\boxed{A}\stackrel{4x+2}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{\underline{4x+2}}{\rule[0.35em]{10em}{0.25pt}\boxed{C}}} \\\\\\ AC=AB+BC\implies 10x-6=(4x+2)+(4x+2)\implies 10x-6=8x+4 \\\\\\ 2x-6=4\implies 2x=10\implies x=\cfrac{10}{2}\implies x= 5 \\\\[-0.35em] ~\dotfill\\\\ AC=(4x+2)+(4x+2)\implies AC=[4(5)+2]+[4(5)+2] \\\\\\ AC=22+22\implies AC=44

3 0
3 years ago
A student ran 100 m dash in 15.4 seconds. What was the student speed in miles per hour
amid [387]

15.4 seconds = 0.00428 hours and 100 meters = 0.062 miles soo the student ran approximately 14.5 mph

8 0
3 years ago
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