Answer:
1,452
Step-by-step explanation:
132 times 12 minus 132
Option D is the correct answer.
Step-by-step explanation:
Step 1 :
Let A represent the cost of one bucket of apple and P represent the cost of one bucket of peaches.
So we have ,
4 buckets of apples and 5 buckets of peaches for $64
8 buckets of apples and 3 buckets of peaches for $72
Writing this in the equation form we have,
4A + 5P = 64
8A + 3P = 72
Step 2:
Solving for the above 2 equations we can get the required costs
Equation 1 is
4A + 5P = 64 , Multiplying this by 2 we have 8A + 10P = 128
Equation 2 = 8A + 3P = 72
Subtracting both we have , 7p = 56 = > P = 8
Substituting this in equation 1 we have
8A + 80 = 128 => A = 6
Hence the cost of one bucket of apple is $6 and the cost of one bucket of apple is $8.
Option D is the correct answer.
Answer:
(x+5)²(x²+5)
Step-by-step explanation:
Given two functions x²+5 and x²+10x+25, to get their Lowest common factor, we need to to first factorize x²+10x+25
On factorising we have:
x²+5x+5x+25
= x(x+5) +5(x+5
= (x+5)(x+5)
= (x+5)²
The LCM can be calculated as thus
| x²+5, (x+5)²
x+5| x²+5, (x+5)
x+5| x²+5, 1
x²+5| 1, 1
The factors of both equation are x+5 × x+5 × x²+5
The LCM will be the product of the three functions i.e
(x+5)²(x²+5)
This hives the required expression.
Answer:
the first option
Step-by-step explanation:
solution:
distance: d=1/4 lc (because is a quarter of a circle)
length of the circumference: lc=2 pi r
pi: constant=3.14
radius of the circle: r=80 feet
replacing pi and r in the formula of lc:
lc=2 pi r
lc=2 (3.14) (80 feet)
lc=502.4 feet
replacing lc in the formula of d:
d=1/4 lc
d=1/4 (502.4 feet)
d=502.4/4 feet
d=125.6 feet