First convert 3 1/5 into an improper fraction.
We do that by multiplying the denominator to the whole number and adding it to the numerator and we keep the denominator.
5 * 3 + 1 = 16
So 3 1/5 is equal to 16/5
16/5 * 5/8
Multiply the numerators together and the denominators together:
16/5 * 5/8 = 80/40 = 2
So the product of 3 1/5 and 5/8 is 2.
Answer and Step-by-step explanation:
Let us assume the number of calls be x
So
For Plan 1
Total monthly charges is $24 for unlimited calls
For Plan 2
There is a charge of $16 and $0.04 per call
We can write as
= 0.04x + $16
a) Now the inequality equation is
0.04x + $16 > $24
0.04x > $8
x > 200
b) Now if there are more than 200 calls than Plan 1 is more economical as compared with plan 2
Answer:
By the time she achieves her 26 mile goal Andrea will have run 176 miles.
Step-by-step explanation:
Since Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon and she decides to add 2 miles each day to her distance until she achieves her goal, to determine, if she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal the following calculation should be performed:
6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 = X
14 + 22 + 30 + 38 + 46 + 26 = X
36 + 68 + 72 = X
36 + 140 = X
176 = X
So, by the time she achieves her 26 mile goal Andrea will have run 176 miles.
Answer:
it is not a direct variation
Step-by-step explanation:
To have a direct variation
y/x = k for all values of x and y
y/x = 11/7
y/x = 13/8
y/x = 15/9 = 5/3
y/x = 17/10
11/7 does not equal 13/8 so it is not a direct variation
Answer:
y = 1x - 5
Step-by-step explanation:
y = mx + b
slope = (-37 - -66)/(-32 - -61) = 29/29 = 1
y = 1x + b
Substitute (-61, -66).
-66 = 1(-61) + b
-66 = -61 + b
-5 = b
Equation is y = 1x - 5
