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eduard
3 years ago
6

In Oakland County the fine for speeding is $15 for each mile per hour over the speed limit. Jim was fined $165 for speeding in a

25-mph zone. How fast was Jim going? Your answer​
Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer:

36 mph

Step-by-step explanation:

First, we have to find the unit rate of the money.

Since it's 15 dollars for each mile over the speed limit, divide 15 by 165.

The answer is 11, which means he was going 11 mph over the speed limit.

Add 11 to 25, and you get 36

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If Carl, Steve and John have 40 sweets to share and John gets the most out of all three. What’s the smallest amount he can get?
Basile [38]

Answer:

13 +13 +14 ensures he is getting the smallest amount so its 14

Step-by-step explanation:

6 0
3 years ago
Tom throws a Frisbee into the air from a height of 4 feet with
siniylev [52]

Answer:

68 feet

Step-by-step explanation:

Vertical motion model:

h = -16t² + vt + s

Given v = 64 and s = 4:

h = -16t² + 64t + 4

This is a parabola.  The maximum of a parabola is at the vertex.

For y = ax² + bx + c, the vertex is at x = -b/(2a).

Therefore, the time to reach the maximum height is:

t = -64 / (2 × -16)

t = 2

And the maximum height is:

h = -16(2)² + 64(2) + 4

h = 68

So the Frisbee reaches a maximum height of 68 feet.

5 0
3 years ago
Help me asap (please please)
CaHeK987 [17]
Area of a circle = pi*r^2.

Here, A = 380.13 mi.  Unfortunately, "mi" is NOT a unit of area.

So I will assume that the problem should read   A = 380.13 sq. miles.
                                                                    380.12 mi^2
Thus,   380.13 mi^2 = 3.14*r^2, and r^2 = ------------------- 121.057 mi^2
                                                                           3.14

The radius is the sqrt of 121.057 mi^2:  11.00 miles.

The diam. is twice that, or d = 22.00 miles.



4 0
3 years ago
27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8
Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

27^x=9^{x-4}

Note that

27=3^3\\ \\9=3^2,

then

27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}

Rewrite the equation as

3^{3x}=3^{2(x-4)},

then

3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8

4 0
3 years ago
The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?​
Lorico [155]

Answer:

\boxed{6912 units^2}

Step-by-step explanation:

<em>Hey there!</em>

Well using the given ratio,

3:4

And the area of the small shape we need to do,

72*72 = 5184

Now we can make the following fractions,

\frac{3}{4} = \frac{5184}{x}

Now we can solve,

3*x = 3x

4 * 5184 = 20736

3x = 20736

20736 / 3

x = 6912

So the area of the bigger shape is 6912 units^2

<em>Hope this helps :)</em>

3 0
3 years ago
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