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EleoNora [17]
3 years ago
11

Simplify completely the quantity 14 times x to the 5th power times y to the 4th power plus 21 times x to the third power times y

to the 2nd power all over 7 times x to the third power times y.
Mathematics
1 answer:
Dima020 [189]3 years ago
3 0
    14x^5y^4 + 21x^3y^2
-----------------------------------
             7x^3y

     7x^3y^2 (2x^2y^2 + 3)
= ---------------------------------
               7x^3y

= y(2x^2y^2 + 3)
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A book has been discounted by 30%. It is on sale for $22.40. Find the original price.
Harrizon [31]
ANSWER: $29.12 is the original price

EXPLANATION:
Do 22.40 • 0.30 to get 6.72
Then take 6.72 and add it to 22.40
This gives you the original price, $29.12


8 0
3 years ago
You Spin a spinner it has 4 spaces. What is the probability that you spin a 3 and flipping heads
Anettt [7]

Answer:

12.5% or 1/8

Step-by-step explanation:

To find a compound probability multiply the likelihood of both events with each other.

Probability is how many things wished to be gotten over the total amount of possibilities for the event.

Spin a 3 on the spinner: 1/4 or 25% 1 space out of 4 spaces.

Flip the head side of the coin: 1/2 or 50% 1 side wish out of 2 sides.

1/4 x 1/2 = 1/8

1 divided by 8 = 0.125

0.125 x 100 = 12.5

12.5 is the the percentage.

5 0
3 years ago
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What is the equation of the line in slope-intercept form that passes through point (4, 5) and is parallel to the line y = −2x −
Anestetic [448]

Answer:

y=-2x+13

Step-by-step explanation:

<u>Slope-intercept form</u> of a linear equation:

y=mx+b

where:

  • m is the slope
  • b is the y-intercept

<u>Given equation</u>:

y=-2x-2

Therefore, comparing the given equation with the slope-intercept form:

  • slope (m) = -2
  • y-intercept (b) = -2

The slopes of <u>parallel lines</u> are equal.

Therefore, the slope of the new line is -2.

Substitute the given point (4, 5) and the slope m = -2 into the slope-intercept formula and solve for b:

\implies y=mx+b

\implies 5=-2(4)+b

\implies 5=-8+b

\implies b=13

Finally, substitute the found values of m and b into the formula to create the equation of the line that passes through the given point and is parallel to the given line:

\implies y=-2x+13

Learn more about the slope-intercept form here:

brainly.com/question/27317293

brainly.com/question/28185014

5 0
2 years ago
8. An online bank statement reads as follows: Account balance: $986.24 Car payment: $203.34 Gas bill: $96.67 Check deposit: $128
Lunna [17]
Starting balance : 986.24

deductions :
car payment : 203.34
gas bill : 96.67
debit card : 67.12
ATM : 30
total deductions : 203.34 + 96.67 + 67.12 + 30 = 397.13

deposits :
check : 1289.60
cash : 45
total deposits : 1289.60 + 45 = 1334.60

Balance to date : 986.24 + 1334.6 - 397.13 = 1923.71 <==
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3 years ago
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blondinia [14]
18, 23, 24 I think so not sure
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3 years ago
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