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Serjik [45]
3 years ago
5

Kimberly drives at a rate of 50 miles per hour on her trip across the country. If it takes Kimberly 200 gallons of gasoline to d

rive 500 miles, how many minutes will it take her to use x gallons of gasoline if she uses gasoline at the same average rate of consumption?
Mathematics
1 answer:
icang [17]3 years ago
6 0

Answer:

  3x minutes

Step-by-step explanation:

Kimberly desperately needs a more fuel-efficient vehicle. Her usage rate is ...

  (50 mi/h)(200 gal)/(500 mi) = 20 gal/h = 20 gal/(60 min) = 1/3 gal/min

Using gasoline at the rate of 1/3 gal/min, her time for x gallons is ...

  (x gal)/(1/3 gal/min) = 3x min

It will take 3x minutes for Kimberly to use x gallons at the same rate.

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If two rectangles have the same area what do u know abt the measures of their sides
kakasveta [241]
In rectangle ABCD
AB * AC = area

In another rectangle WXYZ
WX * WY = area

The sides must be equal or have same multiples and should be divisible by each other
8 0
3 years ago
Select all points that are on the line through 0,5
Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = \frac{8-5}{2-0} = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

3 0
2 years ago
Read 2 more answers
Please help! Question above
frez [133]

Answer:

It's the first one. (m  + n - 1) sqrt p

Step-by-step explanation:

We can combine m sqrt p and n sqrt p, resulting in m + n, and combine - sqrt p to become (m + n - 1)sqrt p

3 0
3 years ago
What is the value of x in the figure below?
zhenek [66]
Again, nice problem. These are not super easy. You need to imagine the triangles in the figure and relate sides.

For instance: ADC, its hypotenuse is 15

For ABC, it is 20,

so 20/15 is the ratio between both triangles. Now let's choose the side with 'x'

x is one side of ADC, the corresponding side in ABC is 15 (the second longest sides). You need to rotate the triangles, etc ... That's the tricky part :)

So:

20/15 =15/x ----> x = 15*15/20 = 225/20 = 45/4

Which is C

Not sure whether it's too late to help you though!!!!

Also notice that it's kind of a product rule:

x * 20 = 15 * 15

I am sure the book explains a short way of getting to this equation, like sides opposite, blah blah, but what i told you is the reason. You asked for understanding it! Best luck!
7 0
2 years ago
2 2/3 + 4 1/8 reduced to lowest terms
Olegator [25]

Answer:

6 19/24

Step-by-step explanation:

2 2/3 + 4 1/8

3 times 8 to find the common denominator which then gives you

2 16/24 + 4 3/24

That equals

6 19/24

Mark me as brainliest if this helps!

3 0
3 years ago
Read 2 more answers
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