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Readme [11.4K]
2 years ago
7

The sum of 6 times a number and 8 times another number is 12. The difference of those numbers is 9. What are the two numbers

Mathematics
1 answer:
Inga [223]2 years ago
6 0

Answer:

(x,y): (6 , -3) or (-30/7 , 33/7)

Step-by-step explanation:

6x + 8y = 12

x = y + 9 or   y = x+ 9

if x = y+9

6*(y+9) + 8y = 12

14y = -42

y = -3 and x = 6

if y = x+9

6x + 8*(x+9) = 12

14x = -60

x = -30/7   and y = 33/7

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Step-by-step explanation:

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3 years ago
A bottle contains 5/9 liters of soda. Keisha has 3 of these bottles.
satela [25.4K]

Answer: 1 2/3 Liters

Step-by-step explanation:

  • Create the equation

The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has

5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)

  • Solve

We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract

  1. Numerator= 5x3=15
  2. Denominator= 9x1=9

Your improper awnser would be 15/9

DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM

  • Create the simplest mixed number

15/9 is equal to 15 divided by 9

we can fit 1 9 in 15 without going over

1 ?/15

15-9=6

1 6/9

  • Simplify

6 and 9 are both divisible by 3

6 divided by 3 = 2

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1 6/9=1 2/3

  • Awnser and add your units

1 2/3 is the simpelest form, this can not be further divided.

1 2/3 Liters of Soda

3 0
2 years ago
Describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 2 feet and 40
Marrrta [24]

Answer:

The length of the third side is between 16 inches and 64 inches.

Step-by-step explanation:

The length of a side of a triangle is between the sum and the difference of the lengths of the other two sides.

First, we need both sides in the same units. Let's convert feet to inches.

2 ft * (12 in.)/(ft) = 24 in.

The sides measure 24 inches and 40 inches.

Now we add and subtract the two lengths.

40 in. + 24 in. = 64 in.

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The length of the third side is between 16 inches and 64 inches.

8 0
3 years ago
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Sergeeva-Olga [200]

Answer: you can ask questions your struggling with and people like me will help you answer them. You can also help other people answer their questions and get points for it

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is Factor 64b-16c to identify the equivalent expressions.
liubo4ka [24]
Answer:
16(4b - c)

Explanation:
16 x 4b = 64b
16 x c = 16c
3 0
3 years ago
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