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3 years ago

15

for a certain bathub, it takes the hot water faucet 3 times as long to fill the tub as it does the cold water faucet. left on to

gether, the two faucets take 6 minutes to fill the tub. how long will it take the hot water faucet to fill the tub by itself?

1 answer:

Ann [662]3 years ago

3 0

3 minutes because half of 6 is 3 so 3 is the anwser.

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if you had 12 pieces of something to share equally among 5 people how much licorice would each person get

Norma-Jean [14]

I say they would get 2 each

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2 years ago

Find the sum of the first 10 terms of the sequence -8, -2, 4, 10, ...

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Answer:

Step-by-step explanation:

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2 years ago

evan purchased a boat for $8825. He made a down payment of $2500. He applied for a three-year installment loan with an interest

Gekata [30.6K]

The present worth of the boat is $8825. The interest rate is 10.2% and it's not stated whether or not the interest is nominal, so we assume it's annual and effective. We use the formula:
F = P (1 + i)^n
where F is the future worth
P is the present worth
i is the effective annual interest rate
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The future worth of the boat is
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5 0

3 years ago

Solve algebraically:

vichka [17]

<h3>Answer:</h3>

$a)\ x_1=-9,\ x_2=9\\\\b)\ x_1=1,\ x_2=5$

<h3>Step-by-step explanation:</h3>

<u>Given equations:</u>

$a)\ 2x^2 - 162 = 0\\\\b) -\dfrac{1}{2}(x-3)^2=-2$

A) 2x² - 162 = 0

Step 1: Divide both sides by 2.

<h3> $\\\implies \dfrac{2x^2 - 162}{2} = \dfrac{0}{2}\\\\\implies x^2-81=0\\\\\implies x^2=81$ </h3>

Step 2: Take the square root of both sides (using both the positive and negative roots).

$\\\implies \sqrt{x^2}=\sqrt{81}\\\\\implies x=\pm\ 9$

Step 3: Separate into two cases.

$\implies x_1 = -9,\ x_2 =-9$

----------------------------------------------------------------------------------------------------------------

B) -1/2(x - 3)² = -2

Step 1: Multiply both sides by -2.

$\\\implies -2\left(-\dfrac{1}{2}(x-3)^2\right)=-2(-2)\\\\\implies (x-3)^2=4$

Step 2: Take the square root of both sides (using both the positive and negative roots).

$\\\implies\sqrt{(x-3)^2}=\sqrt{4}\\\\\implies x-3=\pm\ 2$

Step 3: Separate into two cases and solve each one. $1)\ x-3=-2\implies x=-2+3\implies \boxed{x=1}\\\\2)\ x-3=2\implies x=2+3\implies \boxed{x=5}$

6 0

2 years ago

Read 2 more answers

Here are the dates of three pivotal female mathematicians: Sophie Germain (French) 1776-1831, Sonja Kowalevsky (Russian) 1850-91

Zina [86]

Sonja kowalevsky
Emmy noether
Sophie Germain

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3 years ago