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deff fn [24]
3 years ago
12

Patrick is building a sandbox he begins with one piece of wood. He cuts 3 feet off the piece of wood then he cuts the remaining

length of wood into four equal parts if each part is 5 feet long what was the original length of the piece of wood
Mathematics
1 answer:
faust18 [17]3 years ago
3 0

Answer: the original length of the piece of wood is 23 feet

Step-by-step explanation:

Let x represent the original length of the piece of wood.

He cuts 3 feet off the piece of wood. This means that the remaining length of wood would be

(x - 3) feet

he cuts the remaining length of wood into four equal parts. if each part is 5 feet long, it means that

(x - 3)/4 = 5

Cross multiplying by 4, it becomes

x - 3 = 4 × 5

x - 3 = 20

x = 23

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Please help fast. - a pair of equations are shown below:<br><br> y = 7x - 8<br> y = 5x - 2
Vlad [161]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = 7x - 8 → (1)

y = 5x - 2 → (2)

A

Solving by substitution

Substitute y = 7x - 8 into (1)

7x - 8 = 5x - 2 ( subtract 5x from both sides )

2x - 8 = - 2 ( add 8 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(3) - 8 = 21 - 8 = 13

Solution is (3, 13 )

B

The point of intersection of the graph of the 2 equations is the solution to the above equations.

That is point of intersection = (3, 13 )

5 0
3 years ago
What is the solution to the system of equations
Gnesinka [82]
Answer: x=-4, y=-7

Problem:
4x-6y = 26
5x-4y=8

You can use substitution or elimination to solve the problem. I’m going to use elimination.

Multiply by -2 => -8x+12y = -52
Multiply by 3 => 15x- 12y = 24

Add those equations together:
7x=-28
x=-4
Plug that into one of the original equations to get y.

4(-4)-6y=26
-16 - 6y=26
-6y=42
y=-7

Check for the other equation to see if this is true. Which in this case it is. So that’s your answer. x=-4, y=-7
5 0
3 years ago
Read 2 more answers
The base of a ladder is 25 meters due west of a burning building. If the angle of elevation of the ladder is 51°, how long is th
Andru [333]
Distance from the building where the fireman is standing = 25 m due yo the west pointed  angle of elevation of the ladder = 51 degrees You then aquire the length of the ladder equals... 
x ThenCos 51 degree = 25/x0.6293
= 25/xx = 25/0.6293   = 39.72 meters≈40 meters from the above deduction, so the correct answer is D, because it is the closest, and that it is correct.
3 0
3 years ago
Read 2 more answers
What is 88+8698? Multiplied by 56
IRINA_888 [86]

Answer: 492016

Step-by-step explanation:

88+8698= 8786

8786×56= 492016

6 0
3 years ago
Read 2 more answers
2. Many people think Michael Jordan is the greatest basketball player of all time, with a career scoring average of 30.1 points
zaharov [31]

Answer:

I am 95% confident that the interval from 28.204 to 32.863 captures the true mean PPG of all of Jordan's home games.

4 0
3 years ago
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