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Lostsunrise [7]
2 years ago
8

Rewrite 1/8x^3y + 7/8xy^2 using a common factor.

Mathematics
1 answer:
Alina [70]2 years ago
7 0

Answer:

  D.   1/8xy(x^2 + 7y)

Step-by-step explanation:

You want to rewrite 1/8x^3y + 7/8xy^2 using a common factor.

<h3>Factors</h3>

The two terms have factors that can be identified as ...

  • 1/8x^3y = (1/8)(x)(x)(x)(y)
  • 7/8xy^2 = (7)(1/8)(x)(y)(y)

The factors that appear in both terms are (1/8)(x)(y), so we can factor that out:

  = 1/8xy(x^2 +7y) . . . . . matches choice D

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W=Y(b+A) , for b <br> Solve the equation for the specified variable which is b
arsen [322]

Answer:

  b=\dfrac{W}{Y}-A

Step-by-step explanation:

As with any "solve for ..." problem, you undo what is done to the variable of interest. Here, what is done is ...

  • A is added
  • the sum is multiplied by Y

You "undo" these operations in reverse order (from the bottom of the list up). To undo multiplication, you multiply by the reciprocal:

  W\dfrac{1}{Y}=Y(b+A)\dfrac{1}{Y}=b+A

To undo the addition of A, add the opposite of A:

  \dfrac{W}{Y}-A=b+A-A\\\\b=\dfrac{W}{Y}-A

6 0
4 years ago
Read 2 more answers
What is 48 divided by 0.08
Inessa [10]
48 ÷ 0.08 = 600
check 600 × 0.08= 48
6 0
3 years ago
Using the least number of coins how many quarters, dimes, nickels, and pennies to make $1.74
SpyIntel [72]

Let's use our largest amount (quarter) to see how many can fit evenly into 1.74.

  • 1.74/0.25 = 6.96
  • The most quarters that can fit into $1.74 is 6.

---Multiply $0.25 by 6 = $1.50

---Subtract $1.50 from $1.74 = $0.24

---We need to use the rest of the coins to fill up $0.24.

Now let's use our second largest amount (dime) to see how many can fit evenly into 0.24.

  • 0.24/0.10 = 2.4
  • The most dimes that can fit into $0.24 is 2.

---Multiply $0.10 by 2 = $0.20

---Subtract $0.20 from $0.24 = $0.04

No nickels can fit into $0.04, because they are worth $0.05.

We can use our least amount (pennies) to fill in the $0.04 remaining.

Your answer is 6 quarters, 2 dimes, and 4 pennies.

4 0
3 years ago
Find the slope and Y-intercept for each table, and then write an equation.
Leni [432]

Answer:

a. Slope = 2; y-intercept = 2

b. Slope = 2; y-intercept = 3

c. Slope = 2; y-intercept = -1

d. Slope = -2; y-intercept = 5

e. Slope = -3; y-intercept = -5

d. Slope = -2; y-intercept = 1

Step-by-step explanation:

I Hope That This Helps! :)

8 0
3 years ago
Solve 4ax + 5ax = 3ax + 6 for x. Assume a ≠0
jok3333 [9.3K]

Answer:

c. x = 1/a

Step-by-step explanation:

4ax + 5ax = 3ax + 6

9ax = 3ax + 6 (addition property of equality)

6ax = 6 (subtraction property of equality)

6ax/6 = 6/6 (division property of equality)

ax/a = 1/a (simplify)

x = 1/a

7 0
3 years ago
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