Answer:
x = 13/8
Step-by-step explanation:
sqrt(8x-4) +8 = 11
Subtract 8 from each side
sqrt(8x-4) +8-8 = 11-8
sqrt(8x-4) =3
Square each side
(sqrt(8x-4))^2 =3^2
8x-4 = 9
Add 4 to each side
8x-4+4 = 9+4
8x = 13
Divide by 8
8x/8 = 13/8
x = 13/8
X+y= 26 and 4.75x + 2.25y= 83.50
y=26-x( substitute this into second equation for y and solve for x)
4.75x + 2.25(26-x)= 83.50
4.75x + 58.5-2.25x= 83.50
x= 10
Now solve for y by substituting your answer for x
10+ y= 26
y=16
Therefore, 16 tickets were purchased for kids and 10 for adults.
Answer:
50 grams
Step-by-step explanation:
From the above question:
Chicken : Turkey
= 4:1
Sum Proportions = 4 + 1 = 5
We have to find the weight in grams of the entire pie
Let us represent the weight in grams of the entire pie = x.
The pie contains 200g of Chicken.
Hence:
4/5 × x = 200g
4x/5 = 200g
Cross Multiply
4x = 200g × 5
x = 200g × 5/4
x = 250g
The amount turkey that is in the pie is calculated as:
Total weight of pie - Amount of Chicken in the pie
= 250g - 200g
= 50 g
Answer:
x = 11
distributive law
additive law
multiplication property
Step-by-step explanation:
Given in the question an equation
4(x-7) = 2x-6
Distributive law
a(b+c) = ab +ac
4x - 4(7) = 2x - 6
4x -28 = 2x - 6
Use the addition property of equality to reduce the 2x on the right.
4x - 2x - 28 = 2x - 2x -6
4x -2x -28 = -6
Use the addition property of equality to reduce -28 to zero on the left.
4x - 2x- 28 + 28 = -6 + 28
2x = 22
Use the multiplication property of equality to reduce 2x to just x
2x2 = 22/22
x = 22/2
x = 11