Answer:
Step-by-step explanation:
Let the number TJ thinks of be n.
If he finds 1/3 of the number, the expression that models this situation is expressed as:
1/3 of n
= 1/3 * n
= n/3
hence the expression that models the scenario is n/3
Answer:
Maria made 248 cookies, Denise made 62 cookies, Joseph made 372 cookies.
Step-by-step explanation:
Number of cookies made by Maria is m,
made by Denise is d,
made by Joseph is j
We can write the following equations from the word:
m = 4d
j = 6d
m + d + j = 682
We can substitute both 1st and 2nd equation in 3rd and solve for d:
m + d + j = 682
4d + d + 6d = 682
11d = 682
d = 62
Thus,
m = 4(62) = 248
and
j = 6(62) = 372
Maria made 248 cookies, Denise made 62 cookies, Joseph made 372 cookies.
Answer:
(8 - 12 )
Step-by-step explanation:
Given
x - 
y = 8
x + 
y = - 5
Multiply both equations through by 4 to clear the fractions
x - 2y = 32 → (1)
2x + 3y = - 20 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the x- term
- 2x + 4y = - 64 → (3)
Add (2) and (3) term by term to eliminate x
0 + 7y = - 84
7y = - 84 ( divide both sides by 7 )
y = - 12
Substitute y = - 12 into either of the 2 equations and solve for x
Substituting into (1)
x - 2(- 12) = 32
x + 24 = 32 ( subtract 24 from both sides )
x = 8
solution is (8, - 12 )
Answer:
Y = 40
Step-by-step explanation:
Change 1/2 to 2/4
2/4 y + 6 = 3/4y - 4
subtract 2/4y
6 = 1/4y -4
add 4
10 = 1/4y
multiply by 4 to get fraction to 1y or y
y = 40
Cost per ounce means you take the cost and divide it by the cost:
<span>3.36 / (21/2) </span>
<span>division of fractions changes to the multiplication of the reciprocal: </span>
<span>3.36 * (2 / 21) </span>
<span>3.36 and has 21 as a factor, so let's cancel it: </span>
<span>0.16 * 2 </span>
<span>$0.32 per ounce</span>
