Answer:
3 3/4
Step-by-step explanation:
3/4 * 1/5
First you would turn 1/5 into a reciprocal
Now your equation would be 3/4 *5/1
Now you multiply 3/4 * 5/1
15/4
Now find 15/4 as a mixed number
15/4 as a mixed number would be 3 3/4
Therefore there are 3 3/4 1/2 cup servings in a 3/4 cup of ice
Answer:
7 miles / hour
Step-by-step explanation:
I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.
Givens
d (distance ) = 3.5 miles
t (time) = 1/2 hour
r (rate) = ?
Formula
r = d/t
Solution
The easiest way to do this is to change the fractions to decimals.
t = 1/2 = 0.5 hours
r = 3.5 / 0.5
r = 7 miles per hour.
Ok so
x - the smallest
The other 4 are : x+1, x+2, x+3, x+4
We know that sum is 120
So
x+x+1+x+2+x+3+x+4=120
Combine like terms
5x+10=120
Subtract 10 on both sides
5x=120-10
5x=110
Divide by 5 on both sides
X=22
The third number is x+2 = 22+2=24
Answer:
Mode is the number that occurs most often in the data set. lets say i have the numbers(6,9,2,0,3,2,1,2) it would be two because there are more two's than any other number in the data set.
Mean is found by adding all of the numbers together in the data set. you simply add your numbers together.
Median is the number that is found halfway in the data set. for example if i had the numbers (6,9,2,5,0,2,1) the median would be 5.
I hope this helps you!
Answer:
x = 3.25
y =4.75
Step-by-step explanation:
In order to Solve the following system of equations below algebraically using substitution method we say that;
let;
8x - 4y = 7
..................... equation 1
x + y = 8.......................... equation 2
from equation2
x + y = 8.......................... equation 2
x = 8 - y.............................. equation 3
substitute for x in equation 1
8x - 4y = 7
..................... equation 1
8(8-y) - 4y = 7
64-8y-4y=7
64-12y=7
collect the like terms
64-7 = 12y
57= 12y
divide both sides by the coefficient of y which is 12
57/12 = 12y/12
4.75 = y
y =4.75
put y = 4.75 in equation 3
x = 8 - y.............................. equation 3
x = 8 -4.75
x = 3.25
to check if your answer is correct, put the value of x and y in either equation 1 or 2
from equation 2
x + y = 8.......................... equation 2
3.25 + 4.75 =8
8=8.................... proved