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Naddik [55]
3 years ago
8

Find The missing variable.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

10

Step-by-step explanation:

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Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60
anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

L=5W-60 (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

Area=W*L=W*(5W-60) (Equation #2)

Since the Area of the yard is 800 ft^2, then equation #2 turns into:

800=W*(5W-60)

Now, we rearrange this equation:  

800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0

We can divide the equation by 5 :

W^2-12W-160=0

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since (-20)*8=160 and -20+8=-12. The equation factorised looks like this:

(W-20)(W+8)=0

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

5*20-60=40

Therefore, the dimensions of the yard are W=20ft and L=40ft.

7 0
3 years ago
Connor is splitting of ice cream with members of the team. If the ice cream is split​ evenly, how many will each person​ get? Ex
saveliy_v [14]

Answer:

each person gets 1/4

Step-by-step explanation:

6 0
2 years ago
Dan is comparing the cost of having printed and prepared by two companies
Kay [80]

For 4 copies, the total cost for preparing and printing will be the same.

Step-by-step explanation:

Let,

p be the number of pages

Company A;

Charges of preparing = $6

Charges of per page print = $2.50

A(p)= 2.50p + 6   Eqn 1

Company B;

Charges of preparing = $4

Charges of per page print = $3

B(p)= 3p + 4    Eqn 2

For equaling the cost;

A(p) = B(p)

2.50p+6=3p+4\\2.50p-3p=4-6\\-0.50p=-2

Dividing both sides by -0.50

\frac{-0.50p}{-0.50}=\frac{-2}{-0.50}\\p=4

For 4 copies, the total cost for preparing and printing will be the same.

Keywords: Addition, division

Learn more about division at:

  • brainly.com/question/4401748
  • brainly.com/question/4459688

#LearnwithBrainly

8 0
3 years ago
Max’s car travels 33 miles for every gallon of gas. On a road trip with a total distance of 512 miles, to the nearest gallon of
Archy [21]

Answer:

About 15 gallons.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1.<br> The cos120" is equal to
Veseljchak [2.6K]

Answer:

Value of Cos 120 is -½.

Step-by-step explanation:

8 0
2 years ago
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