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melamori03 [73]
3 years ago
7

Christopher can eat 8 bags of skittles in 5 minutes. What is his rate per minute? Round your answer to the nearest hundredth.

Mathematics
1 answer:
Vadim26 [7]3 years ago
5 0
<span>8 bags of skittles in 5 minutes
so
rate = 8/5 = 1.60

answer
1.60 bags per minute</span>
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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity
taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

h(t)=-16t^{2}+64t+180

Where h(t) is the height of the rock at a time t.

Now, if  h(t)=48 ft we can find t and then the velocity of the rock at that height:

48=-16t^{2}+64t+180

Rearranging the equation:

-16t^{2}+64t+132=0

Multiplying the equation by -1:

16t^{2}-64t-132=0

Solving with the quadratic formula t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}  , where a=16, b=-64, c=-132 .

t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}

Choosing the positive result of the equation:

t=5.5 s  

Since velocity V is defined as the traveled distance h(t) in a given time t, we have:

V=\frac{h(t)}{t}

V=\frac{48 ft}{5.5 s}

V=8.727 ft/s \approx 8.73 ft/s This is the velocity of the rock at the height of 48 feet

7 0
3 years ago
Write number to make each line have the sum 7
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RoseWind [281]

Answer:

see below

Step-by-step explanation:

3x^2 + 17x +10 =0

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That leaves the 2 on the inside

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Using the zero product property

3x+2 =0     x+5=0

3x = -2          x=-5

x = -2/3          x = -5

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4 years ago
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8_murik_8 [283]

Answer:

Multiply by two. Formula could be x * 2

Step-by-step explanation:

4 0
3 years ago
Two step educations 3c - 6 = 12 ​
N76 [4]

Answer:

C  =  6

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Move all terms that don't contain  C  to the right side and solve.

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