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vlabodo [156]
3 years ago
14

How is an easy way to solve proportions with variables on both sides

Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

m+11/11=4m-2/33

m+11(33)=4m-2(11)

33m+363=44m-22

33m-44m=-22-363

-11m=-385

m=35

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Emma kept track of the number of puzzles solved during the past 10 days. She realized that she didn't solve any puzzles in the l
AveGali [126]
I think the answer is 13
6 0
3 years ago
Henry's uncle from Japan promised to give him 35 g of gold. The local jewelry exchange will buy gold for $1224 per ounce. How mu
galina1969 [7]

Answer:

$1530

Step-by-step explanation:

First of all, it is required to convert 35g of gold into ounce.

Since,

1 oz = 28 g

or, we can write,

1 g = \frac{1}{28} oz

Now, for 35 g of gold, we can write,

35 * 1 g = 35 * \frac{1}{28} oz\\35 g = 1.25 oz

Since, local jewelry will buy at $ 1224 per oz, and we have 1.25 oz of gold, so,

1.25 * 1244\\$1530

4 0
3 years ago
Read 2 more answers
Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths o
Vesna [10]

Answer: See explanation

Step-by-step explanation:

The perimeter of a pentagon is gotten through the summation of its five sides. Let the first side be represented by x. Since each side of a pentagon is 10 cm greater than the previous side, then the sides will be:

First side = x

Second side = x + 10

Third side = x + 10 + 10 = x + 20

Forth side = x + 30

Fifty side = x + 40

Therefore,

x + (x + 10) + (x + 20) + (x + 30) + (x + 40) = 500

5x + 100 = 500

5x = 500 - 100

5x = 400

x = 400/5

x = 80

Therefore, the lengths will be:

First side = x = 80cm

Second side = x + 10 = 80 + 10 = 90cm

Third side = x + 20 = 80 + 20 = 100cm

Forth side = x + 30 = 80 + 30 = 110cm

Fifty side = x + 40 = 80 + 40 = 120cm

8 0
2 years ago
Add.
Vikki [24]

Answer:

5/6

Step-by-step explanation:

9/30 + 16/30 = 25/30 = 5/6

3 0
3 years ago
Read 2 more answers
Select all of the points that are solutions to the system of linear inequalities that is listed below 10x + 4y < 12 8x -3y &g
liberstina [14]

Answer:

(3, -8) and (2, -10)

Step-by-step explanation:

Given

10x + 4y < 12

8x - 3y > 20

Required

Select the true coordinate points in (3, -8) (2, 5) (-5, 1) (10, 3) (2, -10)

(3, -8)

x = 3 and y = -8

10x + 4y < 12

10 * 3 + 4 * -8 < 12

30 - 32 < 12

-2 < 12 --- True

8x - 3y > 20

8 * 3 - 3 * -8> 20

24 +24> 20

48> 20 --- True

(2, 5)

x = 2 and y = 5

10x + 4y < 12

10 * 2 + 4 * 5 < 12

20 + 20 < 12

40 < 12 --- False (No need to check the other inequality)

(-5, 1)

x = -5 and y = 1

10x + 4y < 12

10 * -5 + 4 * 1 < 12

-46 < 12 --- True

8x - 3y > 20

8 * -5 - 3 * 1 > 20

-43 > 20 --- False

(10, 3)

x = 10 and y = 3

10x + 4y < 12

10 * 10 + 4 * 3 < 12

112 < 12 --- False (No need to check the other inequality)

(2, -10)

x = 2 and y = -10

10x + 4y < 12

10 * 2 + 4 * -10 < 12

-20 < 12 --- True

8x - 3y > 20

8 * 2 - 3 * -10 > 20

46 > 20 --- True

Hence, the solution to the inequalities are:

(3, -8) and (2, -10)

4 0
2 years ago
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