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Rashid [163]
2 years ago
6

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x

=2y-7 and 4x+y=71 *
Mathematics
1 answer:
maxonik [38]2 years ago
8 0

Answer:

The solution is (15, 11)  There is only one solution.

Step-by-step explanation:

Solve this system using substritution.  In the second equation replace x with 2y - 7, obtaining:

4(2y - 7) + y = 71, which simplifies as follows:

8y - 28 + y = 71, or

9y = 99.  then y must be 11.  If y is 11, then x = 2y - 7, or x = 2(11) - 7 = 15

The solution is (15, 11)  There is only one solution.

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Eric and Frank want to equally share 4/3 feet of rope. what length of rope should each friend get? explain how to use a drawing
blondinia [14]
The rope is 1 and 1/3 long,1 is the same as saying 3/3,
this means that the rope is 3/3 + 1/3 long,so it is 4/3 foot long,
you now want to get half of this number so that each person has an equal length of rope,so multiply the length of rope by a half,
4/3 x 1/2 = 4/6 , which if simplified = 2/3, this means that each friend gets 2/3 foot of rope.

You can draw this in a diagram by drawing the 1 foot of rope, and then dividing it up into 3 sections. Then add the 1/3 foot of rope into the drawing. It should then be easy to see that altogether there are 4 separate sections of rope and that if each friend has two sections then they will be sharing equal amounts, so consequently each friend has two of the thirds of rope, 2/3

4 0
3 years ago
The school yard has an area of 3564 ft.² the section that is in the shape of a triangle is used for picnic tables what is the ar
kicyunya [14]

x × 44ft =3564

× = 81

area of the section for a picnic

= 1/2 × 44 × 81

= 1782 ft^2

8 0
3 years ago
Which fact is not used to prove that ABC is similar to DBE?
const2013 [10]
I think the answer is C because AB is not a transversal
3 0
3 years ago
Read 2 more answers
Me need more help plz also add explanation real explanation
Reika [66]

So we want to find the surface area of this pyramid. Finding the surface area of a 3D shape is essentially finding the area of all its sides and adding them together.

What we're going to have to do here is find the area of the base of the pyramid, which is basically a square, and find the area of all four sides of the pyramid, which are triangles.

Formula for area of a square: length × width

Formula for area of a triangle: (base × height) ÷ 2

First we will find the area of the base:

l × w = A

(Write out formula)

8 × 8 =

(Input values)

A = 64 m^2 (square meters or meters squared)

(We have our answer, dont forgot to write your units.)

So we've figured out the area of the base. Now onto the triangles:

(b×h) ÷ 2 = A

(Write out formula)

(8 × 6) ÷ 2 =

(Input values)

48 ÷ 2 =

(Use PEMDAS to solve this correctly. We did whatever was in the parenthesis first, which was multiplication.)

A = 24m^2 (square meters or meters squared)

(We have our answer.)

Now we've found the area of the base of the pyramid and one of the sides of the pyramid, but we're almost done! There's four sides to the pyramid, they're all the same. So since we found the area for one, we can multiply that by 4 to find the area of all sides added together:

24 × 4

(area of a side × total sides)

= 96m^2

All that's left is adding the 96 to the area of the base to get our total surface area of the pyramid:

96 + 64 = 160

The surface area of the pyramid is 160m^2(square meters or meters squared)

(Hope this helps :) )

8 0
2 years ago
Read 2 more answers
Can someone good at math give me a hand I really need some w
dedylja [7]
What is the question that u need help with
5 0
3 years ago
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