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algol [13]
3 years ago
5

Need help ASAP :) Question on the picture:)

Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

Answer:

a. No

b. Yes

Step-by-step explanation:

a.

x - 4 = 12

x - 4 + 4 = 12 + 4

x = 16

16 ≠ 8

Therefore, the following value given for problem a is not a solution to the given equation.

b. (3 + x)/4 = 3

(3 + x)/4 * 4 = 3 * 4

3 + x = 12

3 + x - 3 = 12 - 3

x = 9

9 = 9

Therefore, the following value given for problem b is a solution to the given equation.

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P=b+4a+c, solve for b
scoray [572]

First subtract the C to move it to the other side

c-P=b+4a

Then subtract the 4a as well

4a-c-p=b

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4 years ago
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On a coordinate plane, the points are (3, 1), (6, 2), (8, 3), (12, 4).
ArbitrLikvidat [17]

Answer:

it would be 8 to 3

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Step-by-step explanation:

the reason why is because of this

3, 6, 9, 12.

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3 years ago
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2018 copper penny struck at the Philadelphia mint in 1794 was sold for 345000 rate of return
vodomira [7]

Answer:

The rate of return is 8%.

Step-by-step explanation:

The time span from 1794 to 2018 is (2018 - 1794) = 224 years.

Now, a penny i.e. 0.01 pounds of money as a principal gets the final sum of 345000 pounds after 224 years.

Here we have to calculate the rate of return if the interest is compounded yearly.

Using the formula of compound interest of r% APR, we get

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4 years ago
Zane received a quote to move his belongings to his new house. The estimate from
erik [133]

9514 1404 393

Answer:

  • packing: $50 per hour
  • loading: $75 per hour
  • packing LCM: 12; loading LCM: 15

Step-by-step explanation:

We can let P and L represent the hourly costs of packing and loading, respectively. The two estimates can be represented by the equations ...

  6P +5L = 675

  4P +3L = 425

The LCM of the coefficients of P is LCM(6, 4) = 12.

The LCM of the coefficients of L is LCM(5, 3) = 15.

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Each LCM is the product of the numbers, divided by their greatest common factor. For 4 and 6, the product is 24, and both even numbers have a factor of 2, so the LCM of 4 and 6 is 24/2 = 12. The numbers 3 and 5 have no common factors, so the LCM is simply their product.

_____

The LCM is useful if you're going to solve the equations by "elimination". Here, the LCM of 12 means we can eliminate P by making its coefficient be 12 in both equations. Multiplying the first equation by 2, we can subtract 3 times the second equation to eliminate P:

  2(6P +5L) -3(4P +3L) = 2(675) -3(425)

  12P +10L -12P -9L = 1350 -1275

  L = 75 . . . . . simplify

Similarly, we can eliminate L by making its coefficients be 15.

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  20P +15L -18P -15L = 2125 -2025

  2P = 100 . . . . simplify

  P = 50 . . . . . . divide by 2

The hourly rates are ...

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Answer:

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