On Saturday, 200 people visited a farmer’s market. Of those who visited, 40% were children. How many children visited the farmer’s market on Saturday?
Answers
80 children
Answer:
80 children
Step-by-step explanation:
(200 * 40) /100 = 80
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a. For what numbers of games is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B?
Bowling alley A:
Bowling alley B:
or more games
or
games
b. Bowling alley A increases the cost per game by $0.50. How does this affect your answer in part (a)? Explain.o
Answers
Using linear functions, it is found that:
a) The cheaper costs are given as follows:
- Bowling alley A: 3 or more games.
- Bowling alley B: 1 or 2 games.
b) Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, we have that:
- The cost to rent shoes is the intercept.
- The cost per game is the slope.
Hence the cost functions are given as follows:
- A(x) = 3.75 + 4x.
- B(x) = 2.5 + 4.5x.
The costs are equal when:
A(x) = B(x)
3.75 + 4x = 2.5 + 4.5x
0.5x = 1.25
x = 1.25/0.5
x = 2.5.
Hence the cheaper costs are given as follows:
- Bowling alley A: 3 or more games.
- Bowling alley B: 1 or 2 games.
Alley B has the lower initial cost due to the lower cost for the pair of shoes.
For item b, if we increase the cost per game by $0.50 for alley A, we have that:
A(x) = 4.5x + 3.75.
Hence:
Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.
More can be learned about linear functions at brainly.com/question/24808124
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B. Adam ct. is parallel to Edward La.
C. Bertha Dr. is parallel to Charles st.
D. Dana la. is perpendicular to Charles st.
Answers
Answer:
A. Adam ct. is perpendicular to Edward Rd.
Step-by-step explanation:
We are given that,
Adam Ct. is perpendicular to Charles St.
Charles St. is parallel to Edward Rd.
So, we get the situation shown below.
It is required to find the relation between Adam Ct. and Edward Rd.
As, we can see that,
Charles St. being parallel to Edward Rd. and Adam Ct. being perpendicular to Charles St.
We get,
Adam Ct. is perpendicular to Edward Rd.
Hence, option A is correct.
Adam Ct and and Edward Rd must be parallel! (answer B). Take a look at the attachment: i drew the plan according to what we know).
(options C and D can also be true, but we don't know enough about the city to verify this)
b. Sometimes
c. Never
Answers
x = _________
Answers
so substitute the numbers inside the it gives
x = -(-10)/2*5
x = 10/10
x = 1
so line of symmetry is 1
Answers
Let
x------> the time in hours
y------> the height in inches
Step
Find the slope m of the linear equation between points A and B
we know that
The formula to calculate the slope between two points is equal to
substitutes the values
Step
Find the equation of the line
we know that
the equation of the line in the point-slope form is
we have
substitute in the equation
--------> this is the linear equation that model the relationship between height h of the candle and time t
Step
Find the height for hours
substitute the value of x in the linear equation
The height of the candle will be after
For predicting, only replace t=8 into you equation (h= -t+20) and you will get h=-8+20=12