Answer:
see the explanation
Step-by-step explanation:
we know that
A linear function in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have a linear function between the total cost and the number of miles
Let
y ----> the total cost in dollars
x ----> the number of miles
The slope or unit rate is equal to
The y-intercept is equal to the flat fee
substitute the given values
The linear function that model the situation is
A. 38
B. 24
C. 12
D. 19
Answer:
A. 38
Step-by-step explanation:
Let d = number of dimes.
Let n = number of nickels.
First equation:
There are twice as many dimes as nickels. The number of dimes is 2 times the number of nickels. The first equation is:
d = 2n
Second equation:
The value of a dime is $0.10. The value of a nickel is $0.05. The value of d number of dimes is 0.1d. The value of n number of nickels is 0.05n. The total value of d dimes and n nickels is 0.1d + 0.05n. We are told the total value of her dimes and nickels is $4.75. That gives us the second equation:
0.1d + 0.05n = 4.75
We have two equations and two unknowns, so we can answer this question by solving a system of two equations in two unknowns.
d = 2n
0.1d + 0.05n = 4.75
We will use the substitution method.
Since d = 2n, replace d in the second equation with 2n.
0.1(2n) + 0.05n = 4.75
0.2n + 0.05n = 4.75
0.25n = 4.75
n = 4.75/0.25
n = 19
Now that we know the number of nickels, we use the equation d = 2n to find the number of dimes.
d = 2n
d = 2 * 19
d = 38
Answer: Debra had 38 dimes.
Answer:
38
Step-by-step explanation:
B.18 M
C. 24 M
D. 48 M
Please show work..Not for a cheat but I am struggling understanding proportions and algebra. Thank you
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Length of a fence on a scale drawing = 6 cm
Scale = 1 cm : 4 m
Let the actual length of the fence be x
Since there is direct variation between the scale and actual.
According to ratio, we will have,
Hence, Option 'C' is correct.
The function rule represents the amount y Mia charges to babysit for x hours is y = 2.25x + 5.00.
Functions, in mathematics, an expression, rule, or law that defines a relationship between the independent variable the dependent variable.
Given that Mia charges $2.25 per hour when she babysits, plus $5.00 for transportation to.
We need to draw a function that represents the amount y Mia charges to babysit for x hours,
So if she works of x hours, her baby sitting charge = $2.25x,
and plus the transportation charge = $5.00
So, the total charge will be = 2.25x + 5.00.
If total charge is represented by y, then
y = 2.25x + 5.00.
Therefore, the required function is y = 2.25x + 5.00.
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