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Setler [38]
3 years ago
13

there are four seventh grade math teachers at central middle school mr. abott teaches 120 students in 6 classes mrs. garcia teac

hes 48 students in 3 classes mrs.nguyen's 5 classes total 109 students and ms. turner has a total of 121 students in 6 classes what is the average number of students in each seventh grade math class at central middle school

Mathematics
1 answer:
Mumz [18]3 years ago
4 0
You see what the average is in each class. (Divid students and classes) and add them together and divid by four. You should get 18 if you round to the whole number.

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liberstina [14]

According to the problem we start with 6000 gal of E10 which means there is 10% of ethanol  in this 6000, with ths information we can calculate the amount of ethanol already in the mixture:

6000gal*0.1=600gal

The relationship between ethanol and total fluid can be represented like this:

\frac{600}{6000} =0.1

Based on this relationship we can build the one that we are looking for:

E9=9Ethanol91Gasoline=\frac{Ethanol}{Total}=0.09

\frac{TotalEthanol}{TotalSolution} =0.09

the total solution will be:

TotalSolution=6000+X

where X is the E5 solution volume

and the TotalEthanol would be:

TotalEthanol=600+E5Ethanol

where E5ethanol (5% Ethanol 95% Gasoline) would be:

\frac{E5Ethanol}{X}=0.05\\E5Ethanol=0.05X

Now replacing in the relationship we found before:

\frac{600+0.05X}{6000+X}=0.09

Solving for X:

600+0.05X=0.09(6000+X)\\600+0.05X=540+0.09X\\0.09X-0.05=600-540\\0.04X=60\\X=\frac{60}{0.04} \\X=1500

We should mix 1500 gal of E5 to make an E9 mixture

8 0
3 years ago
Write an equation for the line that is parallel to the given line and passes through the given point Y= 1/2 x -8 (-6 ,-17)
mylen [45]
Parallel to : y = 1/2x - 8

Passes through (-6, -17)

Our given slope is 1/2.

Plug the given coordinates into point-slope form.

y - y₁ = m(x - x₁)

y - (-17) = 1/2(x - (-6))

Simplify.

y + 17 = 1/2(x + 6)  ← Your answer.

However, sometimes teachers want this simplified even further.

So, simplify this.

y + 17 = 1/2x + 3

Subtract 17 from both sides.

y = 1/2x + 3 - 17

Simplify.

y = 1/2x - 14 ← Slope-intercept form.

Standard form → -1/2x + y = -14


~Hope this helped!~
8 0
3 years ago
Please walk me through the process of solving for the area of this triangle (round to nearest tenth) Thanks!!
grandymaker [24]

Answer:

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Step-by-step explanation:

the formula to find the area of a triangle is

area = 1/2 x base x height

so we can plug the numbers of your triangle in to that formula

the base is 7 and height is 6

area = 1/2 x 7 x 6

area = 1/2 x 42

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6 0
3 years ago
Solve by the quadratic formula. <br>a) 5<br>b) -1<br>c) 1<br>d) -1/2<br>e) 4​
stepan [7]

Answer:

I hope this helps a little bit.

4 0
3 years ago
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Evaluate the following 9+(-3)
Karo-lina-s [1.5K]
9+-3 means 9 plus 3 less
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3 years ago
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