-x = -1. Anything “X” equals to the number One. So do Y = -1 + 1.
b is two fifths of c, so we make this a ratio with c = 1.
The ratio of b:c is 2/5 : 1
We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,
so we get the ratio of a to c as 3/4 : 1
Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:
3 : 8/5 : 4
Now multiply the 3 numbers by 5 to remove the denominator of 5 in b:
15 : 8 : 20
Now we can check using the equations:
b is 2/5 of c: 20 x 2/5 = 40/5 = 8 This is true.
4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.
The ratios is 15 : 8: 20
Answer:
∧ABC ≈ ∧PQR Angle-Angle Similarity Postulate
∧ ABC ≈ ∧ DEF Side-Side-Side Similarity Postulate
Step-by-step explanation:
There is 3.7 grams of sugar in each ounce of sugar Buzz.
Two variables are said to be proportional or have a proportional relationship when they have equivalent ratios. That is they increase or decrease by a factor.
Let x represent the size of Sugar Buzz soft drink and let y represent the amount of sugar.
y is proportional to x, hence:
y = kx; k is the constant of proportionality.\
When x = 12 ounce, y = 44.4 grams, hence:
12k=44.4
k = 3.7 gram per ounce
Therefore there is 3.7 grams of sugar in each ounce of sugar Buzz.
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