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sdas [7]
2 years ago
12

How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% a

ntifreeze? Use the​ six-step method.
Mathematics
1 answer:
Blababa [14]2 years ago
6 0

To Find :

How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% antifreeze.

Solution :

Let, x gallons of 80​% antifreeze solution is required :

So,

(x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500

Therefore, 500 gallons of 80% antifreeze solution is required.

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You make an initial investment of $500. Fill in the table below to show how much money you would have after 3 years if your acco
Aleksandr [31]
After three years, your investment would be $575. The formula is A=P(1+(r/n)^(n*t) where A is the final amount, P is the initial balance, r is the interest rate, n is the amount of time the interest is compounded in a year, and t is the amount of time that has passed.
P=500
r= 5% is which converted into a decimal by dividing 5 by 100 which is then 0.05
n= 1 since it is compounded annually
t= 3
Hope this helped.
3 0
3 years ago
Which of the following is the solution for 13x-5x+6=6+8x?
Vikentia [17]
The answer will help you.

<span><span><span><span>13x</span>−<span>5x</span></span>+6</span>=<span>6+<span>8x

</span></span></span><span><span><span><span><span>13x</span>+</span>−<span>5x</span></span>+6</span>=<span>6+<span>8x

</span></span></span><span><span><span>(<span><span>13x</span>+<span>−<span>5x</span></span></span>)</span>+<span>(6)</span></span>=<span><span>8x</span>+<span>6

</span></span></span><span><span><span>8x</span>+6</span>=<span><span>8x</span>+6

</span></span><span><span><span>8x</span>+6</span>=<span><span>8x</span>+<span>6

</span></span></span><span><span><span><span>8x</span>+6</span>−<span>8x</span></span>=<span><span><span>8x</span>+6</span>−<span>8x

</span></span></span><span>6=6

</span><span><span>6−6</span>=<span>6−6

</span></span><span>0=<span>0

It has a real numbers are solutions.

And the answer is A.</span></span>
5 0
2 years ago
A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constar
Masteriza [31]

Answer:

  • <u>5.2 kg per month.</u>

<u></u>

Explanation:

The measure of how fast the wrestler gained weight, in kg per month, is the  weight gain rate.

The table is:

Time (months)           Weight (kg)

    0.5                             80.6

    2                                 88.4

    3.5                              96.2

The weight gain rate, WGR, for a period may be calculated as:

  • WGR = [ weight gain ] / [period]

  • WGR = [final weight - initial weight] / [final time - initial time]

  • WGR₁ = [88.4 kg - 80.6 kg] / [2 month - 0.5 month] = 7.8 kg / 1.5 month = 5.2 kg / month

  • WGR₂ = [96.2 kg - 88.4 kg] / [3.5 month - 2 month] = 7.8 kg / 1.5 month = 5.2 kg / month.

As you see, the wrestler gained weight at a constant rate of 5.2 kg per month.

7 0
3 years ago
In jims class, 5 times has many students take the bus as those who walk. A total of 24 students walk or take the bus. How many m
lubasha [3.4K]
Take bus=5 times walk
b=5w
b+w=24
sub 5w for b
5w+w=24
6w=24
divide both sides by 6
w=4

sub back
b=5w
b=5(4)
b=20

bus-walk=20-4=16

answer is 16 more take the bus than walk
 
7 0
2 years ago
Write an equation in point-slope form for the line that passes through each point with the given slope (-1,-2) m= 3
Vedmedyk [2.9K]

Answer:

<h2>           y + 2 = 3(x + 1)</h2>

Step-by-step explanation:

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = 3

x₁ = -1

y₁ = -2

Therefore the equation:

                                      y - (-2) = 3(x - (-1))

<h3>                                   y + 2 = 3(x + 1)</h3>
7 0
2 years ago
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