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BlackZzzverrR [31]
2 years ago
5

Maurice bought 16.1 yards of material for costumes for a play. If each costume used 2.3 yards of material, how many costumes is

he making?
Mathematics
1 answer:
MArishka [77]2 years ago
3 0

Maurice is making 7 costumes.

Step-by-step explanation:

Total material bought = 16.1 yards

Material used for one costume = 2.3 yards

Let the number of costumes be x.

Therefore,

2.3x=16.1

Dividing both sides by 2.3

\frac{2.3x}{2.3}=\frac{16.1}{2.3}\\x=7

Maurice is making 7 costumes.

Keywords: division

Learn more about division at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

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A business has two loans totaling $50,000. One loan has a rate of 8% and the other has a rate of 12%. This year, the business ex
Debora [2.8K]

Answer:

the 8% loan has a principal of $37500

the 12% loan has a principal of $12500

Step-by-step explanation:

Let's start by writing the general  equation for the interest hwre I is the interest, P is the principal (in our case would be loan amounts), "r" is the interest rate in decimal form (in our case one would be 0.12, and the other one 0.08), and t is the time in years (in our case 1 year).

I=P*r*t

Then we write the interest equation coming from each loan at the end of this year (we call I1 the interest coming from the 12% loan and I2 the interest coming from the 8% one). Since we don't know the loan amounts (in fact those are what we need to find) we will name one "x" and the other "y":

I=P*r*t\\I1=x * 0.12*1\\I2=y*0.08*1

Next, we add these last two equations term by term, and replace the addition of both interests by $4500 as given in the information:

I1=x * 0.12*1\\I2=y*0.08*1\\I1+I2 = 0.12x+0.08y\\4500=0.12x+0.08y

This is our first equation in the variables x and y which are our unknowns.

Now we generate the second equation on x and y by writing in agebraic terms the other piece of information we have: "the total of the two loans is $50000. That is the addition of the principals x and y should equal $50000:

x+y=50000

We solve for y in this last equation and replace its form in terms of x in the equation of the interest, and solve for the unknown x:

y=50000-x\\4500 = 0.12x +0.08 y\\4500=0.12x+0.08(50000-x)\\4500=0.12x+4000-0.08x\\4500=0.12x-0.08x+4000\\4500=0.04x+4000\\4500-4000=0.04x\\500=0.04x\\x=\frac{500}{0.04} =12500

Therefore the amount of the loan at 12% is $12500

Now to find the amount of the second loan "y" we use the equation for the totals of the loans:

x+y=50000\\12500+y=50000\\y=50000-12500=37500

Therefore, the loan at 8% is $37500

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3 years ago
Solve system of equation using elimination by addition.<br><br> Will give brainliest!!
Rainbow [258]

Answer:

x = 6

Step-by-step explanation:

Add the system of equations together:
2x - 3y = 12

4x + 3y = 24

you get

6x = 36

divide by the coefficient

6x/6 = 1

36/6 = 6

x = 6

Not sure if you need the y, but if so, let me know!

Hope this helps!

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1 year ago
What is the value of y?<br><br><br><br> Enter your answer in the box.<br><br> y =
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Answer:

y=40\°

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

The two equal angles are called the base angles and the third angle is called the vertex angle

In this problem the triangle ABC is an isosceles  triangle

so

AB=AC

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x=8\°

The sum of the internal angles of a triangle is equal to 180\°

so

Find the value of y

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2y=180\°-20\°-80\°

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3 years ago
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Find the surface area of the composite solid.
Dvinal [7]

Answer:

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We need to add each individual 2d shape together to find the surface area

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(52) Pleaase check ym answer
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X = measure of each of the legs
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P = 28 is the given perimeter

So,
P = 2x+8
28 = 2x+8
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If x = 10, then the two legs add up to x+x = 10+10 = 20
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You have the correct answer (choice D, 8 inches) though your steps are a bit confusing at some parts. Such as the part where you wrote 2x = 10 twice. I think I know what you were trying to say. 

4 0
3 years ago
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