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Finger [1]
3 years ago
10

the value of n is both 5 times as much as the value of m and 36 more than the value of m. what are the values of n and m? explai

n.
Mathematics
1 answer:
xenn [34]3 years ago
5 0
We have to find the values of m and n. We know that the value of n is 5 times as much as the value of m : n = 5 m. Also n is 36 more than the value of m : n = m + 36. This is a system of equations. Of we substitute n = 5 m into the second equation: 5 m = m + 36; 5 m - m = 36; 4 m = 36; m = 36 : 4; m = 9. Finally: n = 5 * 9 ; n = 45. Answer: The values are n = 45 and m = 9.
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Use the slope formula to find the missing coordinate: R(0,_), S(-4,2) m=5
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Answer

The missing value is 22

step-by-step explanation

The slope formula is

m =  \frac{y_2 - y_1}{x_2 - x_1}

From the question,

m=5

x_2=-4

y_2=2

and

x_1=0

We substitute these values to get,

5=  \frac{2 - y_1}{ - 4- 0}

Simplify

5=  \frac{2 - y_1}{ - 4}

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- 20=2 - y_1

- 20 - 2=- y_1

22= y_1

y_1 = 22

The missing value is 22

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X and y vary inversely and x=50 when y=5 find y when x=10 what is k?
Kisachek [45]

Answer:

Part A)

1)  k=250

2) y=25

Part B)

1)  k=7

2) y=84

Step-by-step explanation:

Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

step 1

<u>Find the value of k</u>

x=50 when y=5

substitute the values

y*x=k ------> 5*50=k -----> k=250

The equation is equal to

y*x=250  or y=250/x

step 2

<u>Find y when x=10</u>

substitute the value of x in the equation and solve for y

y*(10)=250

y=250/10=25

Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

step 1

<u>Find the value of k</u>

x=6 when y=42

substitute the values

y/x=k ------> 42/6=k -----> k=7

The equation is equal to

y/x=7  or  y=7x

step 2

<u>Find y when x=12</u>

substitute the value of x in the equation and solve for y

y=7(12)=84

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3 years ago
What is the value of a in the equation −14a−5=−12?
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