Answer:
8 inches
Step-by-step explanation:
The area of a triangle is ...
A = 1/2bh
Filling in the given values, we have ...
24 = 1/2b(6)
24/3 = b = 8 . . . . . divide by the coefficient of b
The base of each triangular quilt piece is 8 inches long.
The system of equation that can be used to represent the number of meals sold is
x + y = 1000
5x + 10y = 3,500
Given:
Number of $5 meals sold = x
Number of $10 meals sold = y
Total number of meals = 1000
Total amount of meals = $3,500
The equations:
Quantity
x + y = 1000
Price
5x + 10y = 3,500
Therefore, the system of equation that can be used to represent the number of meals sold is
x + y = 1000
x + y = 10005x + 10y = 3,500
Learn more about equation:
brainly.com/question/15165519
Answer:
S = 2
Step-by-step explanation:
1st step: Simplify both sides of the equation
4/5 s - 3/4 s = 1/10
4/5 s + -3/4 s = 1/10
(4/5 s + -3/4 s) = 1/10 (combine like terms)
1/20 s = 1/10
1/20 s = 1/10
step 2: multiply both sides by 20
20 * (1/20 s) = 20 * (1/10)
s = 2
Hope this helped!
Answer:
The values of x and y in the diagonals of the parallelogram are x=0 and y=5
Step-by-step explanation:
Given that ABCD is a parallelogram
And segment AC=4x+10
From the figure we have the diagonals AC=3x+y and BD=2x+y
By the property of parallelogram the diagonals are congruent
∴ we can equate the diagonals AC=BD
That is 3x+y=2x+y
3x+y-(2x+y)=2x+y-(2x+y)
3x+y-2x-y=2x+y-2x-y
x+0=0 ( by adding the like terms )
∴ x=0
Given that segment AC=4x+10
Substitute x=0 we have AC=4(0)+10
=0+10
=10
∴ AC=10
Now (3x+y)+(2x+y)=10
5x+2y=10
Substitute x=0, 5(0)+2y=10
2y=10
∴ y=5
∴ the values of x and y are x=0 and y=5
Answer:
The first step should be adding 14 to both sides of the equation.
Step-by-step explanation:
14 must be added on both sides of the equation to get 13y by itself. The ultimate goal is to get y by itself if we are solving for y.
Once 14 is added on both sides, you'll get:
13y = 56.
Then 13 would be divided from both sides.
y = 4.3
