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Temka [501]
10 months ago
10

Six years ago, Lucia’s age was 1/3 the age she will be in 6 years. How old is Lucia now? Enter an integer.

Mathematics
1 answer:
Katen [24]10 months ago
7 0

Answer:

Lucia is 12 years old now

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If <br> B is the midpoint of AC, AB=x+6 and AC=5x-6, then what is BC?
nikklg [1K]

If B is the midpoint of AC, then AB=BC. It is also BC=AC-AB

AB = x + 6

AC = 5x - 6

BC = (5x - 6) - (x + 6)

We can kinda use distributive property, like this:

BC = 5x - 6 -x - 6

Combine like terms:

BC = 4x - 12

To verify, we can add AB and BC to see if their sum is equal to AC.

(x + 6) + (4x - 12) = 5x - 6

If we are correct, this equation will be true.

x + 6 + 4x - 12 = 5x - 6

Combine like terms:

6 + 5x - 12 = 5x - 6

5x - 6 = 5x - 6

It's correct!

BC = 4x - 12. Final Answer.

Let me know if you have any questions about this! :)

7 0
2 years ago
PLEASE HELP! Economics
pashok25 [27]

Answer: b

Step-by-step explanation:

if u stop imports  then u have money

4 0
2 years ago
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A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 w
Liono4ka [1.6K]

Question:

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds.  Write an equation to determine how long it will take for the ball to reach the ground.

Answer:

t = 5.0625

Step-by-step explanation:

Given

h(t)=-16t^2+80t+5

Required

Find t when the ball hits the ground

This implies that h(t) = 0

So, we have:

0=-16t^2+80t+5

Reorder

-16t^2+80t+5 = 0

Using quadratic formula, we have:

t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

Where

a = -16      b =80      c = 5

So, we have:

t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}

t = \frac{-80\±\sqrt{6400 +320}}{-32}

t = \frac{-80\±\sqrt{6720}}{-32}

t = \frac{-80\±82.0}{-32}

This gives:

t = \frac{-80+82.0}{-32} or t = \frac{-80-82.0}{-32}

t = \frac{2}{-32} or t = \frac{-162}{-32}

t = -\frac{2}{32} or t = \frac{162}{32}

But time can not be negative.

So, we have:

t = \frac{162}{32}

t = 5.0625

<em>Hence, time to hit the ground is 5.0625 seconds</em>

3 0
2 years ago
I  recently got a bad grade on a test. How can I make sure I don't make silly mistakes when I hardly have time to double check?
Nataliya [291]
Make sure you study, and if necessary, do some practice problems. Then, check to make sure you are right, and if not, find out why, and correct your mistakes.
4 0
3 years ago
Principle=$745 rate= 9% time= 4years
Dennis_Churaev [7]
Based on a yearly rate (which is the norm) I give you my answer ..

Your principle is at 745$
Annual Rate 9%

For the first year your principle will grow by 67.05 $ if untouched (9%) up to 812.05 $

2nd year .. 9% of the 812.05 $ is 73.0845 $ .. So by the 2nd year you reach 885.1345 $

3rd year .. 79.662105 $ .. Total 964.796605 $

4th year .. 86.83169445 $ .. <u>Final</u><u> 4 Years </u><u>Total 1051.62829945 $</u>
4 0
3 years ago
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