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Zina [86]
3 years ago
10

E bisects line segment df. df=2y, and ef=8y-3. find de, ef, and df.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

1/2DF = EF

1/2(2y) = 8y - 3

  • Multiply 1/2 * 2y.

y = 8y - 3

  • Subtract 8y from both sides.

-7y = -3

  • Divide both sides by -7.

y = 3/7

  • Plug 3/7 for y into DF and EF.

DF: 2(3/7) = 6/7

EF: 8(3/7) - 3 = 24/7 - 3 = 3/7

EF = DE because they are bisected, so DE = 3/7

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Machine at a manufacturing plant can make 16 of item A per hour or 20 of item B per hour. The machine runs for 24 hours a day. Y
irina [24]

Answer:

A + B = 24

16A + 20B = 434

Step-by-step explanation:

To write a system of equations for this scenario, let's say that A represents the number of hours machine A ran, and B represents the number of hours machine B ran.

The first equation will be:

A + B = 24

because the total number of hours ran is 24.

The second equation will be:

16A + 20B = 434

because the total number of items made is 434.

A + B = 24

16A + 20B = 434

First solve for one variable, and let's just do A.

Using the first equation, A + B = 24, A is equal to 24 - B.

Substitute this value to the second equation.

16 (24 - B) + 20B = 434

384 - 16B + 20B = 434

4B = 50

B = 12.5

Now use this value of B to find the value of A.

A + 12.5 = 24

A = 11.5

Machine A ran for 11.5 hours, and Machine B ran for 12 hours.

6 0
3 years ago
This please asap asap
Cerrena [4.2K]

Answer: y = -2x + 5

ok done. Thank to me :>

3 0
3 years ago
It’s takes 53 minutes for 6 people to paint 6 walls. How many minutes does it take 20 people to paint 20 walls ?
kramer

Answer:

53

Step-by-step explanation:

It is a trick question. 6 people to paint 6 walls will take 53. 20 people to paint 20 walls will take 53 minutes.

7 0
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Read 2 more answers
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algol [13]

Answer:

14

Step-by-step explanation:

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3 years ago
4) f(x) = 2x + 8, g(x)=6x + 6<br> Find (f. g)(x).
LiRa [457]
F x G (x)

(2x + 8) x (6x + 6)

12x^2 + 12x + 48x + 48

12x^2 + 60x + 48

x^2 + 5x + 4 (Answer)

Hope this helps
3 0
4 years ago
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