Answer:
I think Emily is
Step-by-step explanation:
Answer:
112 candies
Step-by-step explanation:
Start from the end.
Joe gave 25% of the remaining candies to his sister and has 21 candies left. Then
Write a proportion:
Joe gave 7 candies to his sister, so before this he had 21 + 7 = 28 candies.
He gave 4/6 of what he had left to his brother when he went home, so 2/6 of all his candies left ot him. Hence,
Write a proportion:
Joe gave 56 candies to his brother, so Joe had 28 + 56 = 84 candies when he went home.
Joe gave 1/4 of his total candies to his classmates, so 3/4 of his candies left to him. So,
Write a proportion:
Therefore, initially, Joe had 28 + 84 = 112 candies.
Answer: 140cm²
Step-by-step explanation:
Perimeter of a rectangle is calculated as: = 2(length + width)
where,
Length = x+4
Width = x
Therefore, perimeter = 2(length + width)
2(x + x+4) = 48
2(2x + 4) = 48
4x + 8 = 48
4x = 48 - 8.
4x = 40
x = 40/4
x = 10cm
The other side = x+4 = 10+4 = 14cm
Area = length × width
Area = 10cm × 14cm
Area = 140cm²
Answer:
x = 4
y = 6
z = 5
Step-by-step explanation:
Let
bags of pecans = x
bags of walnuts = y
bags of almonds = z
x + y + z = 15
3x + 3.5y + 4z = 53
Two more bags of walnuts were sold than pecans.
Walnuts = x + 2
x + y + z = 15
3x + 3.5y + 4z = 53
x + x + 2 + z = 15
3x + 3.5(x+2) + 4z = 53
2x + z = 15 - 2
3x + 3.5x + 7 + 4z = 53
2x + z = 13 (1)
6.5x + 4z = 46 (2)
Multiply (1) by 4
8x + 4z = 52 (3)
6.5x + 4z = 46 (2)
Subtract (2) from (3)
8x - 6.5x = 52 - 46
1.5x = 6
Divide both sides by 1.5
x = 4 bags
y = x + 2
= 4 + 2
= 6
y = 6 bags
Substitute the value of x into (1)
2x + z = 13 (1)
2(4) + z = 13
8 + z = 13
z = 13 - 8
= 5
z = 5 bags
Check:
x + y + z = 15
4 + 6 + 5 = 15
Answer:
x=6
Step-by-step explanation:
To solve, we'll reverse the terms in order to find x.
<u>Reverse Terms:</u>
-7 + 13 = x
<u>Solve:</u>
x=6.