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2 years ago

10

Quentin agreed to pay 7% shipping and handling charge. If Quentin paid $9. 45 in shipping and handling, how much must the racque

t have cost?

1 answer:

Simora [160]2 years ago

5 0

<em>Answer:</em>

<em>The cost of the racquet is $135</em>

<em>Step-by-step explanation:</em>

<em>Let</em>

<em>x-----> the cost of the racquet</em>

<em>we know that</em>

<em>The racquet represent the 100%</em>

<em>so</em>

<em>using proportion</em>

<em />

<em>x/100%= $9.45/7%</em>

<em>x=100%*($9.45)/7</em>

<em>x=$135</em>

My math teacher help me with it.

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3 years ago

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3 years ago

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Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

so

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

so

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

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$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

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3 years ago