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lana66690 [7]
3 years ago
7

Solve the equation by expressing each side as a power of the same base and then equating exponents.

Mathematics
2 answers:
pickupchik [31]3 years ago
8 0
Hope it helped you.

alexdok [17]3 years ago
6 0
1/27 = 3^(-3)

3^(3x+6) = 3^(-3)

When bases are the same, all you need to do is set the exponents equal to each other:

3x+6 = -3
3x = -9
x = -3
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Find the value of this fraction computation: 6(1/2 + 2/3 + 3/4) Show the steps.
Marta_Voda [28]

6(1/2 + 2/3 + 3/4)

= 6(1/2) + 6(2/3) + 6(3/4)

= 3 + 4 + 4 1/2

= 11 1/2

Answer

11 1/2  (23/2 or 11.5)


7 0
4 years ago
One pumpkin weighs 7 lb 12 oz. A second pumpkin with 10 pounds 4 ounces. A pumpkin weighs 2 pounds 9 ounces more than the second
Nesterboy [21]

Answer:  30 lbs, 13 oz

This converts to 493 ounces

===============================================================

Explanation:

Pumpkin A weighs 7 lb, 12 oz. Let's convert that to ounces only

1 lb = 16 oz

7 lbs = 112 oz (multiply both sides by 7)

7 lbs, 12 oz = 112 oz + 12 oz .... add 12 oz to both sides

7 lbs, 12 oz = 124 oz

Pumpkin A's weight of 7 lbs, 12 oz is the same as 124 oz

-----------

Do something similar for pumpkin B

1 lb = 16 oz

10 lbs = 160 oz

10 lbs, 4 oz = 160 oz + 4 oz

10 lbs, 4 oz = 164 oz

Pumpkin B weighs 164 oz

-----------

Let's convert the "2 lbs, 9 oz" to ounces only

1 lb = 16 oz

2 lbs = 32 oz

2 lbs, 9 oz = 32 oz + 9 oz

2 lbs, 9 oz = 41 oz

So pumpkin C is 41 ounces heavier compared to pumpkin B

The weight of pumpkin C is 164+41 = 205 ounces

----------

We have these three weights in ounces only

  • Pumpkin A = 124 oz
  • Pumpkin B = 164 oz
  • Pumpkin C = 205 oz

Adding those three ounces only weights leads to

124+164+205 = 493 ounces

The total weight of all three pumpkins is 493 ounces

Now let's convert back to the unit "pounds, ounces"

Divide that result over 16 since there are 16 ounces per pound

493/16 = 30.8125

Ignore the decimal portion. The 30 is the quotient which means 493-30*16 = 13 is the remainder.

In other words,

493/16 = 30 remainder 13

which leads to

493 ounces = 30 pounds, 13 ounces

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

As a check,

1 lb = 16 oz

30 lbs = 480 oz

30 lbs, 13 oz = 480 oz + 13 oz

30 lbs, 13 oz = 493 oz

The answer is confirmed.

8 0
2 years ago
Find the solution set of this system:
bezimeni [28]

Answer:

(−4, 12), (1, −3)

Step-by-step explanation:

y = −3x

x^2 −4 = y

so

x^2 −4 = −3x

x^2 + 3x - 4 = 0

(x + 4)(x - 1) = 0

x + 4 = 0; x = -4

x - 1 = 0; x = 1

when x = 1, y = -3(1) = -3

when x = -4, y = -3(-4) = 12

Answer

(-4 , 12), (1 , -3)

3 0
3 years ago
Read 2 more answers
Defining What are the expressed powers and implied<br> powers of the national government?
Marizza181 [45]

Answer:

Constitution has given each separate system of government specific powers. There are three types of Delegated powers

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP AND EXPLAIN ALSO SHOW WORK​
Goryan [66]

Answer:

x=10

Step-by-step explanation:

Make 2x the only variable on the left side of the equation. Do that by taking 3 and 5 to the left. Note: if you move/transpose any number the sign must change.

2x = 18+5-3

2x=20

Divide both sides of the equation by 2 to make x the only variable left.

x=10

6 0
2 years ago
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