Answer:
Ms. Dunn bought 7 slices of pie.
Step-by-step explanation:
With the information provided, you can write the following equations:
x+y=24 (1)
0.80x+0.30y=10.70 (2), where:
x is the number of slices of pie
y is the number of cookies
First, you can solve for x in (1):
x=24-y (3)
Next, you have to replace (3) in (2) and solve for y:
0.80(24-y)+0.30y=10.70
19.2-0.80y+0.30y=10.70
19.2-10.70=080y-0.30y
8.5=0.5y
y=8.5/0.5
y=17
Finally, you can replace the value of y in (3) to be able to find the value of x:
x=24-17
x=7
According to this, the answer is that Ms. Dunn bought 7 slices of pie.
2/3+4/9
denominator= 3*9=27
numerator = (18+12)= 30
therefore the answer is 30/27= 10/9
Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices are,
Q(1, 3), R(3, -3), S(0, -2) and T(-2, 1)
Following the rule of translation by 3 units to the right and 2 units down 
(x, y) → (x+3, y-2)
Q(1, 3) → Q''(4, 1)
R(3, -3) → R"(6, -5)
S(0, -2) → S"(3, -4)
T(-2, 1) → T"(1, -1)
Following rule 
(rotation of a point by 180° about the origin) will give the image points,
(x, y) → (-x, -y)
Q"(4, 1) → Q'(-4, -1)
R"(6, -5) → R'(-6, 5)
S"(3, -4) → S'(-3, 4)
T"(1, -1) → T'(-1, 1)
Answer:
200 people were at the stadium
Step-by-step explanation:
Let us represent the total number of people at the stadium = x
At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium
Hence:
5% of total number of people = 10 teenagers
5/100 × x = 10
5x/100 = 10
Cross Multiply
5x = 100 × 10
5x = 1000
Divide both sides by 5
5x/5 = 1000/5
x = 200
The total number of people in the stadium is 200
