Answer:
- Jenny 1.75 miles, Keith 4.75 miles, Jonna 9.5 miles
Step-by-step explanation:
<u>Distance per person:</u>
- Jenny - x, Keith - y, Joanna - z
<u>Equation as per given:</u>
- y = x + 3
- z = 2y = 2(x + 3)
- x + y + z = 16
<u>Substitute and solve for x:</u>
- x + (x + 3) + 2(x + 3) = 16
- 2x + 3 + 2x + 6 = 16
- 4x = 7
- x = 7/4 = 1.75
Then
- y = 1.75 + 3 = 4.75
- z = 4.75*2 = 9.5
Answer:
1:4
Step-by-step explanation:
all of the numbers are being multiplied by 4
Answer:
NP=8 cm and MN = 16 cm
Step-by-step explanation:
lets suppose NP = x and MN = 2x - because it is twice of NP.
we know that the distance of MP = 24 cm
so MP = MN+NP
24=x+2x
3x=24 and
x=24/3
x=8
x means NP = 8 cm
AND 2x means MP = 2(8) = 16 cm
So the best and correct answer is C because this is how you do it The surface area of the cone has formula
pi * radius * ( radius + sqrt ( height^2 + radius^2)) =
pi * radius^2 + pi * radius * sqrt( height^2 + radius^2)
However, this includes the base of the cone and the hats do NOT have
that. "The hats are shaped like a cone with NO BASE", says the 3rd sentence.
So the formula becomes pi * radius * sqrt( height^2 + radius^2)
diameter = 16
radius = 8
height = 9
The surface area of ONE of the hats is pi * 8 * sqrt( 9^2 + 8^2)
= pi * 8 * sqrt( 81+64)
= pi * 8 * sqrt(145)
302.63828053.....
21 of them is 21 * 302... = 6355.40689112841343251026086.....
So,
We'll just use A to represent both Jan and Mya's miles, since they ran the same number.
We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8
We'll just use A to represent both J and M.
S = M - 8
We'll use Elimination by Substitution.
2A + A - 8 = 64
Collect Like Terms
3A - 8 = 64
Add 8 to both sides
3A = 72
Divide both sides by 3
A = 24
Since
A = J
and
A = M
and
J = M
then
J = 24
M = 24
Substitute
S = 24 - 8
S = 16
Check
24 + 24 + 16 = 64
64 = 64 This checks.
So,
J = 24
M = 24
S = 16