Answer:
$0.32
Step-by-step explanation:
there are 8 pints in a gallon and there is half a gallon so divide 1.28 by 4
Supplementary angles are angles that are adjacent to each other and when summed to get a total of 180 degrees. In this case, DEF and FEG are supplementary. Thus the equation is <span>9x +1 + 8x + 9 = 180 = 17 x + 10; x then is equal to 10 so
<</span>DEF = <span>9*10 +1 =91 degrees
</span><FEG = <span>8*10 + 9 = 89 degrees</span>
Answer:
n=1/2 after being simplified
Step-by-step explanation:
Use Division Distributive Property:
9^n-1=1/3^4n-1 then convert both sides to the same base
3^2(n-1) = 3^-(4n-1)
cancel the base of 3 on both sides
2(n-1) = -4n+1
then expand 2n-2=-4n+1
add 2 to both sides 2n=4n+1+2
simplify: -4n+1+2 to -4n+3
2n=-4n+3
add 4n to both sides: 2n+4n=3
simplify: 2n+4n to 6n
6n=3
divide both sides by 6
n=3/6
simplify and n=1/2
4. Steps:
.......Find least common denominator
.......Add numerators
.......Simplify
1/4 + 1/2 + 2/3 .....
........12 is least common denominator
....... multiply numerator and denominator by same number
1/4 4×3=12 so multiply 1/4 × 3/3 = 3/12
1/2 2×6=12 so multiply 1/2 × 6/6 = 6/12
2/3 3×4=12 so multiply 2/3 × 4/4 = 8/12
ADD: 3/12 + 6/12 + 8/12 = 17/12
SIMPLIFY: 17/12 = 1 5/12 CUPS of sugar
5. Total cost:$12.30
..Icing Costs: 1/3 of Total
Equation (of means multiply):
1/3 × 12.30= N
12.30/3 = N
4.10= N
Icing Supplies Cost $4.10
6. Students: 25
.....1/5 of students
..... ate 1/8 of cake
..... How much cake is left?
In order to determine how much cake was eaten, you first need to know how many students ate it
1/5 × 25= 25/5 = 5
So 5 students ate 1/8 of cake each. So how much cake was eaten
5 × 1/8 = 5/8
cake had 8/8 pieces from which 5/8 was eaten. How much left?
8/8 - 5/8 = 3/8
so 3/8 of cake is left.
7. 3/4 × 3 = 9/4 = 2 1/4
8. Eggs 3/4 of dozen
...... Dropped 1/3 of 3/4 of dozen
3/4 × 12 = 36/4 = 9 eggs needed
1/3 × 9 = 9/3 = 3 eggs dropped
9-3=6 eggs left
9.