Very easy to do this.
60/12 is your fraction.
Multiply numerator and denominator by the same number.
60*2/12*2 = 120/24
120/24 = 5
You can also simplify.
60/12 = 5
12/12 = 1
5/1 = 5
60/12 = 5
Answer: Here is the explanation. also it it +3y not -3y
Step-by-step explanation:
x+y+4+2y+1=x+3y+5 because
2y+y=3y
so now you have x+3y+4+1
4+1=5
now you have: x+3y+5
if you do not understand, What i am trying to say is, you need to add all of the same things.
Answer:
9
Step-by-step explanation:
You do parenthesis first so 1+2=3
Then you do division 6 divided by 2=3
Then you will multiply 3 by 3 so 9
This is known as pemdas
P=parenthesis
E=exponents
MD=multiplication and division you do it left to right so if division is in front of multiplication then you do division
As=Addition and subtraction is also left to right
Answer:
Step-by-step explanation:
a1 = 3(1) - 7 = - 4
a2 = 3(2) - 7 = -1
d = a2 - a1
d = -1 - (-4)
d = -1 + 4
d = 3
a60 = 3(60) - 7
a60 = 180 - 7
a60 = 173
n = 60
Sum = (a1 + a60) * n / 2
Sum = (-4 + 173) * 60/2
Sum = (169)*30
Sum = 5070
==================
Just to check, we'll use the second summation formula
d = 3
n = 60
a1 = -4
Sum = (2*a1 + (n - 1)*d )*n / 2
Sum = (2*(-4) + (60 -1)*3)* 60/2
Sum = (-8 + 59*3) * 30
Sum = (177 - 8)*30
Sum = 169 * 30
Sum = 5070
Same answer.
Answer:
a. 144 cubic foot
b. 12 ft
c. 18 ft
Step-by-step explanation:
Let the volume of prism A be V_a
and that of prism b be V_b
ATQ, V_a + V_b= 432
also V_a= 0.5 V_b
⇒1.5 V_b= 432
= V_b= 432/1.5= 288 cubic feet
therefore V_a= 144 cubic feet
volume of prism= area of base×height = V_a
24×h = 144
⇒h= 12 ft
A_b= 2/3×24
⇒base area of prism B= 16 sq.ft
now 16×h_b= 288⇒h_b= 288/16= 18 ft
