The volume of a sphere is (4πr^3)/3 and since r=d/2, volume of a given sphere with respect to its diameter is:
V=(4πd^3)/24
V=(πd^3)/6 in this case d=8.65 so
V≈338.88 in^3 (to the nearest hundredth)
She would need 11 weeks in order to reach her goal.
Answer:
1
Step-by-step explanation:
21 = 3*7
65 = 5*13
CGF: to find the greatest common factor, multiply those factors both numbers have in common
GCF :1 since there are no factors in common
Answer:
1. 3x + 2
2. 0.25x - 6.5
3. $5.50 per sandwich
Step-by-step explanation:
1.
6x + 1 - (3x - 1)
PEMDAS says solve everything in the parentheses first
There is nothing left to simplify within the parentheses.
Since there's also no exponents, multiplication, or division, let's combine like terms starting from left to right
6x - 3x + 1 + 1
Negative + Negative = Positive, hence why it became 1 + 1
3x + 2
2.
(3x - 1) - 2.75 (x + 2)
PEMDAS says to do multiplication next (since parentheses are fully simplified and there are no exponents)
(3x - 1) - 2.75x - 5.5
Negative + Positive = Negative, hence why it became -5.5
3x - 1 - 2.75x - 5.5
Combine like terms
3x - 2.75x - 1 - 5.5
0.25x - 6.5
3.
Set up an equation:
Variable x = cost of sandwiches
4x + 4(2) = 30
4x + 8 = 30
Subtract 8 from both sides to isolate the variable
4x + 8 - 8 = 30 - 8
4x = 22
Divide both sides by 4
4x ÷ 4 = 22 ÷ 4
x = 5.5
$5.50 per sandwich
Because you're given a point and the slope, you're going to use point-slope form.
Point slope form: y-y1=m(x-x1)
You have to put your given values into the equation.
y-12=4(x-22)
Because it wants the equation in standard form, you leave the equation as is.
I hope I was able to help. Best of luck!
