You have to solve this algebraicly.
To do this set up the proportion and add x to each term.
You get 4x and 7x
Set this equal to 33
4x+7x=33
Combine like terms and get 11x=33
Divide by 11
x=3
Now go back to 4x and 7x
Multiply them by x and get 12(4×3=12) and 21(7×3=21)
One group is 12 and the other is 21.
Answer:
c
Step-by-step explanation:
Answer:
Slope = 0.08 dollars per minutes.
Step-by-step explanation:
Carla pays $20 per month for her phone service, plus $0.08 for each long-distance minute used.
Therefore, if Carla talks for m minutes in the long-distance call, then the situation can be modeled by the equation
C = 20 + 0.08m ............ (1), where C is the total cost for her phone service per month.
Here, 20 is the fixed price and 0.08m is the variable price for her phone charges.
This equation (1) represents a straight line with y-intercept as 20 and the slope as 0.08, where m plotted along x-axis and C is plotted along the y-axis. (Answer)
Answer: The value of the card after you buy your 8th coffee will be $61.3
Step-by-step explanation:
The worth of the gift card for the coffee shop is $90. Each day you use the card to get a coffee for $4.10. This means that the worth of the gift card is reducing by $4.10 each day. This rate is in arithmetic progression.
The formula for the nth term of an arithmetic sequence, Tn is expressed as
Tn = a + (n-1)d
Where a is the first term
d is the common difference
n is the number of days
From the information given,
a = $90
d = - $4.1
The explicit formula representing the amount of money available will be
Tn = 90 - 4.1(n - 1)
The value of the card after you buy your 8th coffee will be
T8 = 90 - 4.1(8 - 1) = T8 = 90 - 4.1×7
T8 = 90 - 28.7
T8 = $61.3
