Answer:
Part a) System of equations:
g = 5 b
b + g = 120
Part b) There were 20 boys, and 100 girls at the dance.
Step-by-step explanation:
Part a)
We start by writing a mathematical expression associated with he two given statements:
1) "Five times as many girls as boys" using "g" to represent the number of girls, and "b" for the number of boys:
g = 5 b
2) a "Total of 120 students" ...
This means that the addition of boys "b" and girls "g" should render 12:
b + g = 120
Part b)
Solve for the number of boys and girls by first replacing (substituting) "g" with "5 b" in the second equation, solving for "b":
b + 5 b = 120
6 b = 120
b = 120/6
b = 20
and now that we know the number of boys, finding the number of girls "g" using the first equation:
g = 5 (20)
g = 100
Answer:
D SD= sqrt(22.5D) Average Rate of Change
47 32.52
50 33.5 0.34
56 35.50 0.33
60 36.74 0.31
62 37.35 0.305
65 38.24 0.3
In the context of this problem, the average rate of change is the rate at which the car decelerates as it skids. As the distance that the car skids increases, the rate at which the car decelerates decreases at a gradual rate.
Step-by-step explanation:
Answer:
The second choice
Step-by-step explanation:
The mistake is made in the second step. The correct steps are given below.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Wilma estimates that she’ll drive about 18,000 miles during the year.
The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighbourhood is $2.72.
Locate the error in her calculations, and select the correction.
Step - 1
18000 miles/year
18000 miles / 12 months = 1500 miles/month
Step 2
1500 miles/month
1500 miles/month / 24 miles per gallon = 62.5 gallons/month
62.5 gallons/month
Step 3
(62.5 gallons/month) x ($2.72/gallons) = $170 cost/month
More about the Algebra link is given below.
brainly.com/question/953809
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