Answer:
20 green pencils
Step-by-step explanation:
The difference between black and green "ratio units" is 7 -5 = 2. The difference between red and blue ratio units is 3 -2 = 1. The sum of those differences is 2 +1 = 3 ratio units, which represent 12 pencils. Then each ratio unit represents 12/3 = 4 pencils.
The 5 ratio units of green pencils represent 5·4 pencils = 20 green pencils.
_____
If you need an equation, you can use k as the constant of proportionality. Then the sum of differences described is ...
(7k -5k) + (3k -2k) = 12
3k = 12 . . . . simplify
k = 4 . . . . . . divide by 3
5k = 5·4 = 20 . . . . . number of green pencils
Answer:
x-independent
y-dependent
Step-by-step explanation:
Dependent variable: y because you get the points by doing the quiz.
Independent variable: x because you don’t know how many questions you answered correctly.
Total points you score: Unknown until you know how many you got right also the same as y.
Number of questions you answer correctly: Unknown until you get your paper back, also the same as x.
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Answer:
-7g - 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define expression</u>
-3(5g + 1) + 8g
<u>Step 2: Simplify</u>
- Distribute -3: -15g - 3 + 8g
- Combine like terms: -7g - 3
Answer:
YZ = 30 and BC = 6
Step-by-step explanation:
Since ABCDE and YXWVZ are similar figures then the ratios of corresponding sides are equal, that is
=
← 2 pairs of corresponding sides
that is
=
( cross- multiply )
3YZ = 90 ( divide both sides by 3 )
YZ = 30
Similarly
=
, that is
=
( cross- multiply )
15BC = 90 ( divide both sides by 15 )
BC = 6