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olya-2409 [2.1K]
2 years ago
9

Equation Given:

alt="h(t)=-4.9t^{2}+358" align="absmiddle" class="latex-formula">
Question: When is the penny at a height of 300 meters above the ground?
Mathematics
1 answer:
Vilka [71]2 years ago
4 0

Answer:

At 3.44 seconds, the penny is at a height of 300 meters above the ground.

Step-by-step explanation:

Basically, we have to solve an equation here:

-4.9t^{2} + 358 = 300

Hence,

-4.9t^{2} = 300 - 358

t^{2} = \frac{-58}{-4.9}

t = 3.44

Hence, at 3.44 seconds, the penny is at a height of 300 meters above the ground.

Hope this helped!

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Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amoun
nikdorinn [45]

Answer:

x+0.05x=3.15 which has one solution

Step-by-step explanation:

Complete question below:

Joshua sells a pack of pens for 3.15 which is 5 percent more than he pays for them. which equation will help find x, the amount he pays for a pack of pens? how many solutions will this equation have? x+0.05x=3.15, which has infinitely many solutions x+0.5x=3.15, which has one solution x+0.05×=3.15 which has one solution 0.05×=3.15, which has no solution

Let

x= the amount Joshua pays for a pack of pen

5% of x more than he paid for them

=0.05x more

Buying price=0.05x + x

Selling price=3.15

Equate buying and selling price

0.05x + x = 3.15

1.05x=3.15

Divide both sides by 1.05

1.05x / 1.05 = 3.15/1.05

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The equation is 0.05x+x=3.15

The answer is:

x+0.05x=3.15 which has one solution

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