Answer:
Andrew must run 1 5/12 Laps to complete the race.
Step-by-step explanation:
Total lap run by Michael, Nate, Ben, and Andrew = 4 laps
laps run by Michael = 1 1/3 laps =(3+1)/3 = 4/3 laps
laps run by Nate =1/2 laps
laps run by ben =3/4 laps
Let laps run by Andrew = x
therefore
laps run by Michael + laps run by Nate + laps run by ben + laps run by Andrew = 4 laps
4/3 + 1/2 + 3/4 + x = 4
LCM of 3,2 and 4 is 12
=> (4*4 + 6*1 + 3*3+12x)/12 = 4
=> (16+6+9+12x)/12 = 4
=> 31+12x = 12*4 = 48
=> 12x = 48-31= 17
=> x = 17/12 = 1 5/12
Thus, Andrew must run 1 5/12 Laps to complete the race.
56 + 96 = 152
The factors of 152 are:
1, 2, 4, 8, 19, 38, 76, 152
We need to rewrite 152 as 2 factors, one of them is 8.
The other is the sum of 2 numbers that do not have a common factor.
The other factor is 19 because it is the sum of 10 and 9.
152 = 8 × 19
<h3>Exact
Answer: (160/3)pi</h3><h3>Approximate Answer: 167.47</h3>
The approximate answer results when you use pi = 3.14, and this approximate answer is rounded to two decimal places
note that (160/3)pi is the same as 160pi/3
========================================================
Work Shown:
r = radius = 4
h = height = 10
V = volume of cone
V = (1/3)pi*r^2*h
V = (1/3)pi*4^2*10
V = (160/3)pi exact answer
V = (160/3)*3.14
V = 167.46666....
V = 167.47 approximate answer rounded to two decimal places
Yes, Heather is correct. The expressions are not equivalent
<em><u>Solution:</u></em>
Given that,
Heather says, the following expressions are not equivalent
Because one expression has a term that is subtracted and the other does not
<em><u>Combine the like terms in first expression:</u></em>
<em><u>Let us first expand the second expression</u></em>
By distributive property
a(b + c) = ab + bc
Therefore,
<em><u>Thus the two expressions are:</u></em>
Yes both the expressions are not equivalent
Because, in first expression 2x is added to 8
But in second expression, 8 is subtracted from 2x
Thus heather is correct
Answer:
x=260
Step-by-step explanation:
6/20 =78/x
We can use cross products to solve
6*x = 20 *78
Divide each side by 6
6x/6 = 1560/6
x =260
