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3 years ago

14

You have less than 120 minutes to spend in the gym and in the pool. You want to spend less than 45 minutes in the gym and more t

han 30 minutes in the pool. Which system represents the situation?

1 answer:

Deffense [45]3 years ago

6 0

Spend 45 minutes in the gym, then spend the rest hour and 15 minutes in the pool.

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If a population of 300 people increase to 400 people, what is the percent change

zavuch27 [327]

The percent change would be 33%. I hope I helped.

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3 years ago

Read 2 more answers

Johnathan has 30 chocolates.He gives some chocklage to his friend David. He then gives Sarah half the number of chocolates he ga

Wittaler [7]

This equation only has 1 solution

Hope this helped:)

7 0

3 years ago

Solving a percent mixture problem using a linear equationSamantha vEspelTwo factory plants are making TV panels. Yesterday, Plan

Alborosie

ANSWER

Number of panels produced by plant B: 20000

EXPLANATION

First we have to name the variables. We're looking for the number of panels produced by plant B and also we don't know the number of panels produced by plant A.

Let x be the number of panels produced by plant A and y the number of panels produced by plant B.

We know that plant A produced 7000 fewer panels than plant B. This as an equation is:

$x=y-7000$

To solve this we need to find another equation, because we have two variables.

The other equation is the one with the defective panels. The total number of defective panels produced by both plants is 860, and we know that represents the 2% of produced panels from plant A and 3% of produced panels from plant B. To find the number that represents that percentage we divide the percentage by 100 and multiply by the total amount. For the 2% of plant A this is:

$\frac{2}{100}\cdot x=0.02x$

And the 3% of plant B is:

$\frac{3}{100}\cdot y=0.03y$

So the second equation is:

$0.02x+0.03y=860$

Since we only want to find y, which is the number of panels produced by plant B, we can use the substitution method. Substitute the first equation into the second - in other words, replace x in the second equation by y - 7000:

$0.02(y-7000)+0.03y=860$

To solve for y, first apply the distributive property of multiplication:

$\begin{gathered} 0.02y-0.02\cdot7000+0.03y=860 \\ 0.02y-140+0.03y=860 \end{gathered}$

Add like terms:

$\begin{gathered} (0.02y+0.03y)-140=860 \\ 0.05y-140=860 \end{gathered}$

Add 140 on both sides of the equation:

$\begin{gathered} 0.05y-140+140=860+140 \\ 0.05y=1000 \end{gathered}$

And divide both sides by 0.05:

$\begin{gathered} \frac{0.05y}{0.05}=\frac{1000}{0.05} \\ y=20000 \end{gathered}$

This result means that <em>plant B produced 20000 TV panels in total.</em>

7 0

1 year ago

a 64 gallon tank contains 45 gallons of oil.How many gallons are removed if 4/5 of this quantity is sold? Please be precise &amp

vfiekz [6]

In the given question it is already mentioned that a 64 gallon tank contains 45 gallons of oil. Out of the 45 gallons 4/5 th of the quantity is sold. It can be said that the full tank capacity of 64 gallons is of no use to the problem.
Now getting to the equation part of the problem.
Quantity of oil removed = (4/5) * 45 gallons
= (4 * 9) gallons
= 36 gallons.
So it can be said that 36 gallons of oil from the total of 45 gallons has been sold.

6 0

3 years ago

Allison earned a score of 95% on a test where the mean was only an 82%. How far above average was her score?

Leona [35]

Answer:

The correct answer is 13%.

Step-by-step explanation:

We can easily put in the equation:

95 - 82 = 13

Hope this helps:) Goodluck!

3 0

2 years ago