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Elenna [48]
3 years ago
12

Brian has $45.25 saved and earns $7.25/week. Dakota has $25.25 saved and earns $9.75/week. In how many weeks will they have the

same amount?
Explanation pleaseeeeeeee
ASAPPPPPPPPPP!!!!!!!!!!!!!!
Mathematics
2 answers:
Mazyrski [523]3 years ago
8 0
8 weeks needed for them to be even
kogti [31]3 years ago
7 0
STEP ONE:
Set up the equation
45.25 + 7.25x = 25.25 + 9.75x
STEP TWO:
Subtract 7.25x from both sides
45.25 = 25.25 + 2.5x
STEP THREE:
Subtract 25.25 from both sides
20 = 2.5x
(Flip equation)
2.5x = 20
STEP FOUR:
Divide 2.5 from both sides
x = 8

Since x represents weeks, it will take 8 weeks for Brian and Dakota to have the same amount of money.

Hope this helped!
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Answer:

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Exact Form:

2,5+D,4-1,3D

Decimal form;

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You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water you
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Answer:

When do you hit the water?

1.075 seconds after you jump.

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Step-by-step explanation:

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h(t) = -16*t^2 + 6*t + 12

Is the height as a function of time.

We know that the initial height is the height when t = 0s

h(0s) = 12

and we know that the diving board is 12 foot tall.

Then the zero in h(t)

h(t) = 0

Represents the surface of the water.

When do you hit the water?

Here we just need to find the value of t such that:

h(t) = 0 = -16*t^2 + 6*t + 12

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t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}

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What is your maximum height?

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We know that the vertex of a general quadratic:

a*x^2 + b*x + c

is at

x = -b/2a

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h(t) = -16*t^2 + 6*t + 12

The vertex is at:

t = -6/(2*-16) = 6/32 = 0.1875

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h(0.1875) =  -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626

And the height is in feet, then the maximum height is 12.5626 ft

6 0
3 years ago
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