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3 years ago

5

Algebraically Speaking Write an equation: Rita has $5 in her purse. This is $12 less than she had before she went shopping. How

much did she have when she went to the mall?.

1 answer:

AfilCa [17]3 years ago

5 0

-$12 -$5= x

x = value Rita has left when she went to the mall

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A real estate agent earns 2.4% on the sale of a house priced at $89,950.

juin [17]

Answer:

$2158.8

Step-by-step explanation:

x/89,950= 2.4/100

89,950(2.4)= 215880

215880/100 gets you 2158.8. hope this helped

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3 years ago

If ∠A and ∠B are complementary, find the value of x given that ∠A=3x-2 and ∠B=x+12

xxMikexx [17]

Answer:

x=20 degrees

Step-by-step explanation:

complementary means the angles equal 90 degrees

so ∠A+∠B=90 degrees

∠A=3x-2 and ∠B=x+12

so subsitute

(3x-2)+(x+12)=90

then solve for x

4x+10=90

4x=80

x=20 degrees is your answer

6 0

3 years ago

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v

pochemuha

Answer:

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = $5000(1 - \frac{1}{40}t )^2$ , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = $2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )$

V'(t) = $2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )$

When we simplify the above, we get

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

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4 years ago

SOLVE x^4 − 15x^2 − 16 = 0 <br> What are the roots of the equation?

kakasveta [241]

Answer:

roots : 4, -4, i, -i

Step-by-step explanation:

This gets a bit tricky.

We have to substitude x^2 as u in this problem.

Now to rewrite x^4 − 15x^2 − 16 = 0 with u, we get

u^2 - 15u - 16 = 0

( u - 16) (u + 1)

U = 16

U = -1

<em>This is not the end of the problem. </em>

Now we have to substitute x^2 back to u.

x^2 = 16 --> we get the roots 4 and -4

x^2 = -1 --> we get the roots i and -i

tadah!

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2 years ago

Ryan must purchase new pillows and blankets for a donation drive to help people in need. Each new pillow costs $8 and each new b

alukav5142 [94]

the answers are

8x+25y≤600

x > 0

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4 years ago