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mrs_skeptik [129]
3 years ago
8

How many 1/4 inch lengths of rod can be cut from 3 1/2 inch rod

Mathematics
1 answer:
stepan [7]3 years ago
5 0

Answer:

14

Step-by-step explanation:

Shown in picture above.

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What is the reason for each step in the solution of the equation?
MrRa [10]
<span>3(x+2)= 4x+1 |Given
3x+6= 4x+1   |Distributive
−x+6= 1         |SPOE (Subtraction Property of Equality)
−x= −5           |SPOE
x=5                |MPOE (Multiplication Property of Equality)</span>
3 0
3 years ago
Help due in 45 minutes!!
Nat2105 [25]

Answer:

(14,-1)

Step-by-step explanation:

okay so first you need to use the "x=4y+10" in the first equation.

Rewrite as

3(4y+10) +11y=7

Distribute the 3(4y+10)

Rewrite as

12y+30

You'll have the equation

12y +30 +11y= 7

Subtract the 7 from both sides

12y+30+11y-7= 0

Combine like terms

23y+23=0

the best thing to do here is divide the equation by 23.

23/23 = 1

you'll have

y + 1 = 0

this simplifies to

y= -1

use this y value to solve for x

the easiest way to do this is start with the equation

x = 4y +10

Substitute the y for -1

x = -4(-1) +10

x = 4 +10

x = 14

the solution point is

(14,-1)

3 0
3 years ago
Write the equation of the circle whose center is (-5, -8) with diameter 12
lora16 [44]

Answer:

(x + 5)^2 + (y + 8)^2 = 6^2

Step-by-step explanation:

A circle formula: (x - h)^2 + (y - k)^2 = r^2

We are given diameter. To find the radius divide diameter by 2.

d = 12

12/2 = r = 6

H and K are given to be (-5 , -8)

(x - (-5))^2 + (y - (-8))^2 = 6^2

(x + 5)^2 + (y + 8)^2 = 6^2

I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.

3 0
1 year ago
Mr. K cooked down 2 pumpkins yesterday. He did this to make pumpkin pies for Thanksgiving. He was able get 30.5 cups of pumpkin.
Tasya [4]
He can make 17 pies and here are the steps :)

6 0
2 years ago
If 12 is equal to 6 plus X then what is X to the 2nd power.
leva [86]

Answer: 36

Step-by-step explanation:

Equation: 12=6+x; x^2

1. Solve for x. X=6

2. Find x^2 or 6^2= 36.

5 0
3 years ago
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