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Hoochie [10]
3 years ago
13

A quantity q varies directly with a quantity p. When q = 42 and p = 21, what is the constant of proportionality

Mathematics
1 answer:
Kay [80]3 years ago
7 0
42 and 21 are constants their numbers
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Solve for x 12x/5 a.x=-71/2 b. x=71/2 c. x= 43 1/5
babunello [35]

Answer:

x  = - 12 6/7

Step-by-step explanation:

x - 12x/5= 18

Get a common denominator on the left

5/5 x -12/5x = 18

Subtract

-7/5 x = 18

Multiply each side by -5/7 to isolate x

-5/7 *-7/5 x = -5/7 *18

x = -5*18/7

x = -90/7

Changing this to a mixed number

7 goes into 90   1 2 times with 6 left over

x  = - 12 6/7


8 0
3 years ago
Read 2 more answers
Raul has 56 bouncy balls. He puts three times as many balls into red bags as he puts into green gift bags. If he puts the same n
Sati [7]
If we divide 56 by 4 we get 14.  Why by4?  So that one number is 3 times the other So he had 14 balls that went into the green bags and 42 (56-14) that went into the red bags.  We could just answer the question and say 14 but I think they want to know how many in each green bag.
14 and 42 don't work because they are not the same number of balls.  What number is a common factor?  7 is,
We could have 2 green bags and split the 14 balls into 2 groups of 7 and with the remaining 42 - put them into 6 red bags of 7 each.
And so the answer to your question is:
7 ball in each bag  = 2 bags are green, and 6 bags are red
                                        14 balls              +    42 balls            = 56 bouncy balls
 
6 0
3 years ago
Read 2 more answers
6. Three consecutive integers add up to 51. What are these integers?
vladimir2022 [97]

Answer: 16,17,18

Step-by-step explanation:

(x)+(x+1)+(x+2) = 51

x+x+x+1+2=51

3x+3=51

3x=51-3

3x=48

x=16

x+1 = 17

x+2= 18

5 0
3 years ago
What is the area of this figure?
Lorico [155]
Each little square is 1 inch high and 1 inch wide, so
the area of each little square is 1 square inch.

The bug figure is made of 23 little squares, so the area
of the big figure is 23 square inches.
5 0
4 years ago
What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of −8?
Romashka-Z-Leto [24]

Step-by-step explanation:

the common ratio is -4

Gn=2 (-4)^n-1

3 0
3 years ago
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