Answer:
AM = 900
CI = 500
I have to be honest, this is the most ridiculously worded question of this type that I have ever seen... ask you teacher, why it was so important to force you to solve it using only one variable?
Step-by-step explanation:
(AM) + (1400-AM) = 1400
2(AM) + 3(1400 - AM) = 3300
2AM + 4200 -3AM = 3300
-AM = -900
AM = 900
CI = 500
Answer:
3 11/16 pounds
Step-by-step explanation:
Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchases was 7 1/2 pounds. How much did the bag of grapefruit weigh?'
The Total weight = Weight of grape fruits + Weight of Apples + Weight of Bananas
Let the weight of the grape fruit = x
7 1/2 = x + 1 5/8 + 2 3/16
x = 7 1/2 - (1 5/8 + 2 3/16)
Lowest Common Denominator = 16
x= 7 1/2 - 3 + ( 10+ 3/16)
x = 7 1/2 - 3 + (13/16)
x = 7 1/2 - 3 13/16
Lowest Common Denominator = 16
x= 4 (8 - 13/16)
x = 4 (-5/16)
x = 3 11/16 pounds
Therefore, the bag of grapefruits weighed 3 11/16 pounds
Answer:
Make Width = 'x'
Length = 4 + 2x
Perimeter = 2 x Width + 2 x Length
86 = 2(x) + 2(4 + 2x)
86 = 2x + 8 + 4x
Collect like terms:
2x + 4x = 86 - 8
6x = 78
x = 13
Width = 13 cm
Length = 30 cm
Step-by-step explanation:
a) Area of rhombus = ½ * (diagonal1)*(diagonal 2)
Let diagonal (D2 )= longer diagonal = 15 and diagonal (D1) = shorter diagonal
90 = ½ (D1)*15
90 = 7.5 D1
Now divide both side by 7.5
90/7.5 = d1
D1= 12 units.
b) Area of rhombus = ½ * (diagonal1)*(diagonal 2)
Let the ratio be 
Diagonal 1= 
Diagonal 2= 
147 = ½ * 
Multiply both side by 2
294 =
294 = 6
Divide both side by 6
294/6 = 6/6
49 =
= 7 unit
