Answer:
In total they ate 4/8 of the pizza. Meaning that together they ate 1/2 of the pizza.
Step-by-step explanation:
1/8 plus 3/8 equals 4/8 which is equal to 1/2.
Answer:
Profit = 75
Step-by-step explanation:
Selling price of 3 oranges = 2
There are 210÷3 = 70 set of oranges
Selling price of 1 set (3 oranges) of orange = 2
Selling price of 70 set of oranges = 70 * 2 = 140
Cost of 210 oranges = 65
Profit = selling price - cost price
= 140 - 65
= 75
Given:
A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)
1) reflect across x=-4
essentially calculate the difference between the x=-4 line and Px and "add" it in the other direction to x=-4
A(-4-(3-(-4)),0)=A(-11,0)
B(-4-(1-(-4)),-2)=B(-9,-2)
C(-4-(3-(-4),-5))=C(11,-5)
D(-4-(7-(-4)),-1)=D(-15,-1)
2) translate (x,y)->(x-6,y+8)
A(-3,8)
B(-5,6)
C(-3,3)
D(1,7)
3) clockwise 90° rotation around (0,0), flip the x&y coordinates and then decide the signs they should have based on the quadrant they should be in
A(0,-3)
B(-2,-1)
C(-5,-3)
D(-1,-7)
D) Dilation at (0,0) with scale 2/3, essentially multiply all coordinates with the scale, the simple case of dilation, because the center point is at the origin (0,0)
A((2/3)*3,(2/3)*0)=A(2,0)
B((2/3)*1,(2/3)*-2)=B(2/3,-4/3)
C((2/3)*3,(2/3)*-5)=C(2,-10/3)
D((2/3)*7,(2/3)*-1)=D(14/3,-2/3)
Answer:
12 pens
Step-by-step explanation:
Let the variable that can be used to determine the number of pens that Kamila bought be represented by n.
Price of a notebook = $1.59
Price a pen = $0.29
Total amount spent = $5.07
But,
1.59 + 0.29 n = 5.07
So that,
0.29 n = 5.07 - 1.59
0.29 n = 3.48
n = 
= 12
Therefore, Kamila bought 12 pens.
7We can see that line NM = JK so NM also equals 10.
We know NL = 23 and NM = 10 therefore, ML = NL -NM ML = 23 -13
ML = 10
The last thing to solve is the length of KL
KL = ML / sine 34
KL = 10 / 0.55919
KL = 17.9
Total fence length required = JK + KL + NL =
13 + 17.9 + 23
= 53.9 yards
Cost of Fencing = $3.50 * 53.9 =
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$188.65
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