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bogdanovich [222]
3 years ago
7

Consider the following equations and name the property of equality used to solve for the variable.

Mathematics
1 answer:
Anestetic [448]3 years ago
8 0

Answer:

Subtraction property ; x = 3.25

Division property ; - 6

multiplication property ; - 125

Addition property ; 13

Step-by-step explanation:

A.)

x + 3.75 = 7

Using the subtraction property : subtract 3.75 from both sides

x + 3.75 - 3.75 = 7 - 3.75

x = 3.25

B. )

–3b = 18

According to the division property :

Divide both sides by - 3

-3b / - 3 = 18 / - 3

b = - 6

C.)

m/5 = - 25

Using the multiplication property :

m/5 * 5 = - 25 * 5

m = - 125

D.)

m – 4 = 9

Using the addition property :

Add 4 to both sides :

m - 4 + 4 = 9 + 4

m = 13

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A circle has an area of 497 square inches. What is the circumference of the circle?
Aleksandr-060686 [28]

Answer:

easy peasy

Step-by-step explanation:

we have, area = 497 sq. units

that is, (pi) (radius)^2=497

=> (22/7) x r^2 = 497

=> r^2 = 158.13

=> r = √158.13

=> r = 12.57

now we also have radius, soooo

=> circumference = 2 (pi) (radius)

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3 years ago
A number cube numbered 1 - 6 is rolled once. What is the probability that the side facing up shows 4
marshall27 [118]

Answer:   \bold{\dfrac{1}{6}}

<u>Step-by-step explanation:</u>

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7 0
3 years ago
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According to the rational root theorem, which is a factor of the polynomial f(x)=3x^3-5x^2-12x+20?
MakcuM [25]

Answer:

(x-2), (x+2), (3x-5)

Step-by-step explanation:

Factors of 3: ±1, ±3

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Pick a number to divide the polynomial by (I picked 2)

(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10

So (x-2) is a factor of f(x) = 3x³-5x²-12x+20

Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20

4 0
3 years ago
A set of equations is shown above. Which method eliminates one of the variables? A) Multiply equation A by -1/3 and add the resu
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Answer:


Step-by-step explanation:

Multiplying Equation A by (1/3) and adding the result to Equation B will do the trick.  Let's actually solve the problem!

Equation A:  (5/3)x + 3y = 12

Equation B:    4x     -  3y = 8

                    ---------------------------

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                            (17/3)x = 15           y.

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