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natali 33 [55]
3 years ago
15

If a man runs for an hour and a half at 8 miles an hour due south; and then he continues south on a bus traveling at 55 miles an

hour, for 24 minutes. How far did he travel?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0

He ran 8 miles per hour.

Multiply his speed by the time he ran to find total distance:

8 mph x 1.5 hours = 12 miles

He ran for 12 miles.

Now Find the distance the bus went:

For time, divide the minutes the bus drove by 60 minutes per hour.

55 miles per hour x 24/60 = 22 miles

The bus went 22 miles.

Total distance = 12 + 22 = 34 miles.

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Karo-lina-s [1.5K]

Answer:

y = -4/5 x - 3

Step-by-step explanation:

15y = -45 - 12x

5y = -15 - 4x

y = -4/5 x - 3

7 0
2 years ago
Which quadratic function has a wider graph than y=2x^2?
Trava [24]

Answer:

y = 1/2 x²

Step-by-step explanation:

The coefficient of the first term in a quadratic, in our case here, x², will tell us how the graph stretches. This is akin to the slope within the linear graph. Similar to the slope, the smaller the coefficient value, or value of slope m, the shallower the angle.

When discussing quadratics, the larger the coefficient of our x² term, the steeper, and skinnier the graph. If we want to look for a graph that is wider than y = 2x², then we need to find a graph with a coefficient that is less than 2.

Our only option then is

y = 1/2 x²

8 0
3 years ago
Find the equation of the line passing through the points (3,-2) and (4,6) in slope intercept form.​
noname [10]

Hey!

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They already give us the slope, so we can solve the y-intercept.

We can use (3, -2).

y = 8x + b

-2 = 8(3) + b

-2 = 24 + b

-2 - 24 = 24 + b - 24

-26 = b

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Hence, the answer is \Large\boxed{\mathsf{y~=~8x~+~-26}}

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Hope This Helped! Good Luck!

4 0
4 years ago
Find the measure of angle 3<br> I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Mice21 [21]

Answer:

82°

Step-by-step explanation:

i. 8x +26 = angle 5 (corresponding angles)

ii. angle 5 = -9x + 179 ( vertically opposite angles)

so,

8x+26= -9x +179 (from i and ii)

or, 17x= 153

therefore, x= 9

now,

angle3 + 8x +26= 180° (linear pair)

angle 3 = 180°- 72-26

hence, angle 3= 82°

3 0
3 years ago
Read 2 more answers
A square tile has a side length of 12 cm. What is the area of the tile?
Lesechka [4]

Step-by-step explanation:

Area of square =side×side

=12×12

=144cm^2

Hope this helped! :)

7 0
3 years ago
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