It is easy to subtract fractions by converting them into decimals first. To convert is numerator divided by denominator. So, 10 1/2 would be 10.5 and 8 3/4 would be 8. 75. Now, you can subtract them. Start at the hundredth place so subtract 5 from 0 ( because 10.5 can also be 10.50) so it would be 5. Next, 5 -7 ( so you borrow 1 from 10 so 5 would become 15 and 10 is 9) is 7. Last, subtract your whole number. 9 - 8 = 1. So, your answer would be 1. 75. To convert it to fraction, you need to write it as 1 75/ 100 and simplify it which is 1 3/4. So, Carla's plant is 1 3/4 inches taller than Yolanda's plant Hope it helps!!!!
Well,
In appearance, line segment PQ is longer that line segment SU.
9514 1404 393
Answer:
a2 = 12
a3 = 36
Step-by-step explanation:
Terms of a geometric sequence have a common ratio. If we call that ratio r, then we have ...
a2 = 4r
a3 = (a2)r = 4r^2
108 = (a3)r = 4r^3
27 = r^3 . . . . . . . . . . . divide by 4
3 = r . . . . . . . . . . cube root
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a2 = 4(3) = 12
a3 = 12(3) = 36
Answer:
Jenkins: 25 hours Alexanders: 20 hours
Step-by-step explanation:
To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.
We can make a represent hours because we know the rate of sprinkler's output is per hour.
25a+40b=1425
a+b=45
Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.
a+b=45
a=45-b
Now we can plug this in for a in the other equation.
25a+40b=1425
25(45-b)+40b=1425
Distribute 25 into the parenthesis.
1125-25b+40b=1425
1125+15b=1425
15b=300
b=20
Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.
a+b=45
a+20=45
a=25
The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.
Answer:
y=2
x=3
Step-by-step explanation:
make x - y = 1 into x= y + 1
put that wherever x is in the other equation
so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2
then substitute 2 into the y in the equation x - y = 1 and you get x = 3
