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
Hey there! :D
So, basically, you could say that "x" is equal to both of the legs.
We also know that in 45-45-90 triangles, x*√2= the hypotenuse
Given this information, if we were to divide 10 by the √2, we would get:
10/√2= 7.071.....
5√2= 7.071....
5√2 is the answer.
I hope this helps!
~kaikers
Multiply both sides by any number you want. I'll pick 2
x = -3 turns into 2x = -6 after doing so
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Add anything you want to both sides. I'll pick 7
x = -3 turns into x+7 = 4 after doing so
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you can do a combination of both multiplication and addition, as long as you do the same thing to both sides. First I'll do multiplication. I'm going to multiply both sides by 2 first
x = -3 turns into 2x = -6
then I'm going to add 7 to both sides
2x = -6 turns into 2x+7 = 1
If you were to solve 2x+7 = -1, then you'd get to x = -3 again
As a check, replace x with -3 and we have...
2x+7 = 1
2(-3)+7 = 1
-6+7 = 1
1 = 1
we get a true statement, which helps confirm we have the right equation.
Answer:
A.17
Step-by-step explanation:
30/2=15
15+2=17
Answer:
12 1/4 cups
Step-by-step explanation:
Add the morning and the afternoon amounts together
2 1/4 + 10 1/4
12 2/4
Simplify the fraction
12 1/4 cups