Answer:
Number of Dolls = 28.
Number of Balls = 32.
Number of Cars = 20.
Step-by-step explanation:
Given the ratio of the number of dolls to the number of balls to the number of cars is 7 : 8 : 5.
Suppose the highest common factor of the three numbers be 'X'.
Then, Number of Dolls = 7x
Number of Balls = 8x
Number of Cars = 5x
Given the total number of dolls, balls, and cars is 80.
It means 7x + 8x + 5x = 80.
20x = 80
x = 80/20 = 4.
So, Number of Dolls = 7*4 = 28.
Number of Balls = 8*4 = 32.
Number of Cars = 5*4 = 20.
y=mx+b is the equation of a line;
m=slope , b= y-intercept
m=4 ; so we have : y=4x+b
We are give a set of points which it passes through, we can simply plug them in:
-2 = 4(3)+b (3 is the x and -2 is the y)
We get -2 = 12 +b .... -14=b
our final equation is : y=4x-14
<h3>
Answer: 0.5</h3>
This is equivalent to the fraction 1/2
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Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
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The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
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Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.
