Answer:
A. 3 bags of oranges, 4 bags of apples
Step-by-step explanation:
If O is number of bags of oranges and A is number of bags of apples:
O + A = 7
5O + 3A = 27
We can solve this system of equations with either substitution or elimination. I like to use substitution, but you can use whichever you prefer.
O = 7 − A
5 (7 − A) + 3A = 27
35 − 5A + 3A = 27
35 − 2A = 27
8 = 2A
A = 4
O = 7 − A
O = 3
Teresa bought 3 bags of oranges and 4 bags of apples.
Answer:
16
Step-by-step explanation:
The mean of a group of values is calculated as
mean = 
Given 5 numbers with a mean of 12, then
= 12 ( multiply both sides by 5 )
sum = 60
let the number removed be x , then
= 11 ( multiply both sides by 4 )
60 - x = 44 ( subtract 60 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
The number removed was 16
Answer: y=-6
Step-by-step explanation:
First convert the equation -2y= 8 into y intercept form by divide both sides by -2.
-2y = 8
y= -4 Now that the line is in y intercept form we can now determine the slope.The slope is 0 so -4 in this case is the y intercept.
Remember lines that a parallel needs to have the same slope but different y-intercepts.
So if the slope of the line y=-4 is 0 then the slope of line that passes through the point (2,-6)
So using the y intercept form formula which says that y=mx+b where m is the slope and b is the y-intercept, we could plot in the values for y and x and solve for b to write the equation.
y is -6 and x is 2
-6 = 0(2) + b
-6 = 0 + b
b= -6
In this case the y intercept is -6 so since the slope is zero we will have the equation y = -6
+x on each side. Then -2 on each side. Then divide both sides by 6 and you have your answer
Answer:
21 ft by 66 ft
Step-by-step explanation:
From the question,
P = 2(L+W)............... Equation 1
Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.
If the Length of the Field is 45 ft longer than the width,
L = 45+W............ Equation 2
Substitute Equation 2 into equation 1
P = 2(45+W+W)
P = 90+4W............. Equation 3
Given: P = 174 ft.
Substitute into equation 3
174 = 90+4W
4W = 174-90
4W = 84
W = 84/4
W = 21 ft.
Substituting the value of W into equation 2
L = 45+21
L = 66 ft.
Hence the dimensions of the playing field is 21 ft by 66 ft
