The charges for mowing lawns are $5 per hour and charges for walking dogs are $3 per hour.
Step-by-step explanation:
Let,
x be the charge per hour for mowing lawns
y be the charge per hour for walking dogs
According to given statement;
10x+4y=62 Eqn 1
8x+5y=55 Eqn 2
Multiplying Eqn 1 by 5

Multiplying Eqn 2 by 4

Subtracting Eqn 4 from Eqn 3

Dividing both sides by 18

Putting in Eqn 1

Dividing both sides by 4

The charges for mowing lawns are $5 per hour and charges for walking dogs are $3 per hour.
Keywords: linear equation, subtraction
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Answer:
3
Step-by-step explanation:
-m+8=4m-7
8=4m-(-m)-7
8=4m+m-7
8=5m-7
5m=8+7
5m=15
m=15/5
m=3
Answer:
Range is 44
mean is 29.7
variance is 289.56
standard deviation is 17.016
Step-by-step explanation:
The data given as follows
3, 24, 30, 47, 43, 7, 47,13, 44, 39
Range = maximum - minimum
= 47 -3 = 44
mean =
= 297/10 = 29.7
variance =
= 289.56
SD =
= 17.016
The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.
Answer:
let the number be x, so that the two numbers are x and x - 32 The first number is x = 62.
The second number is x - 32 = 62 - 32 = 30.
Step-by-step explanation:
x + x - 32 = 92
or, 2x = 92 + 32
or, 2x = 124
or, x = 124/2 = 62
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