<h3>
Answer: Yes</h3>
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Explanation
The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.
The ratio 16:20 simplifies to 4:5 when you divide both parts by 4
Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.
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Put another way,
(8 large)/(10 small) = (16 large)/(20 small)
8/10 = 16/20
8*20 = 10*16 ... cross multiply
160 = 160
We get a true equation, so the first equation is true as well.
This shows the ratios are equivalent.
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Or you could have...
(8 large)/(16 large) = (10 small)/(20 small)
8/16 = 10/20
8*20 = 16*10
160 = 160
We get the same conclusion as before.
The answer is C. $48 for 6 days is 48(6), then subtract the amount of money Rufus will spend, which is 5(32.5), so it's 48(6)-5(32.5)
Answer: $8.95 per yard of fabric
Step-by-step explanation:
Define the following:
x = cost of fabric per yard
Make an equation:
⇒ 3x + 1.25 = 28.10
⇒ 3x = 26.85
⇒ x = 8.95
∴ $8.95 per yard of fabric
If Ken wants to pay more than 130, he needs to drive more than 90 miles. You subtract 94 from 130, which equals 36. 36 divided by .4 (for the price per mile) and it equals 90.
Answer:
Midpoint (-2,4)
distance nearest tenth = 8.9
The approximate distance = 9
Step-by-step explanation:
Formulas
PQ midpoint = (x2 + x1)/2, (y2 + y1)/2
distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = -4
x1 = 0
y2 = 1
y1 = 7
Solution
M(PQ) = (-4+0)/2, (1 + 7)/2
M(PQ) = -2, 4
The midpoint is -2,4
The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )
The distance = sqrt(16 + 64)
The distance = sqrt(80)
The distance = 4√5 exactly
The distance = 8.94
The distance = 8.9 To the nearest tenth
Question 2
The distance is rounded to the nearest whole number which is 9.
