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Nezavi [6.7K]
3 years ago
6

1. What is the constant of proportionality? 2. What is the equation?

Mathematics
1 answer:
expeople1 [14]3 years ago
7 0

Answer:

y = 1/3a

Step-by-step explanation:

y = ka

1 = 3k

k = 1/3

Confirm constant: (4-1)/(12-3) = 3/9 = 1/3

1 = 3(1/3) + b

1 = 1 + b

b = 0

y = 1/3x or 1/3a

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Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have?
Elodia [21]
Let’s make two equations. D being dimes and Q being quarters.
D+Q=100
0.1d+0.25q=14.05
Now, let’s multiply the first equation by -0.10 so that we can cancel out D.
-0.1D-0.1Q=-10
0.1d+0.25q=14.05
Let’s solve
0.15Q=4.05
Let’s divide.
Q=27
So there’s 27 Quarters. Since there are 100 in total, there must be 73 dimes.
Let’s make sure this adds up.
0.25(27)+0.1(73)
6.75+7.30
14.05
So there’s 27 Quarters.
8 0
4 years ago
Find the quotient of -84 and 7.
WINSTONCH [101]

Answer:

-12

Step-by-step explanation:

To find the "quotient" of something is to divide the digits. -84 ÷ 7 = -12.

3 0
4 years ago
Please help and explain
Vikki [24]
Try this solution/explanation:
1. the rule is: m∠TRP=m∠YTR.
2. using the rule described above, it is possible to write the following equation: 3x=2x+35; ⇒ x=35°

Answer: 35°
5 0
3 years ago
What is the value of x? (see picture)
Ivanshal [37]

Answer:

37º

Step-by-step explanation:

∠ABC  (Interior) = 360º - 5x

Sum of interior angles in a polygon is (n - 2) x 180

Sum of interior angles of ABCD = (4 - 2) x 180 = 360º

79 + 2x + (360 - 5x) + 32 = 360

79 + 2x + 360 - 5x + 32 = 360

471 - 3x = 360

3x = 111

x = 37º

5 0
3 years ago
Read 2 more answers
Given the figure below, find the values of x and z.
slava [35]

Answer:

x = 5   z = 94

Step-by-step explanation:

12x + 26 = 86

12x = 60

x = 5

360 - 172 = 188

z = 188 : 2 = 94

8 0
3 years ago
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