Roseanne is making chocolate chip cookies for dessert the recipe for one batch of chocolate chip cookies calls for 2 1/2 cups of
1 answer:
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Answer:
A, B and C
Step-by-step explanation:
In the equation: 3y=27x
Making y the subject of the equation, we have:
The constant of proportionality between y and x is 9.
We want to determine which relationships have the same constant of proportionality 9.
<u>Option A</u>
y=9x
The constant of proportionality is 9.
<u>Option B</u>
2y=18x
Divide both sides by 2 to obtain: y=9x
The constant of proportionality is 9.
<u>Option C</u>
x=3, y=1/3
Substitution into y=kx gives:
1/3=3k
k=9
The constant of proportionality is 9.
<u>Option D</u>
x=6, y=2/3
Substitution into y=kx gives:
2/3=6k
k=2/3*6=4
The constant of proportionality is 4.
<u>Option E</u>
When x=2, y=18
Substitution into y=kx gives:
18=2k
k=9
However, when x=4, y=27
Substitution into y=kx gives:
27=4k
k=6.75
This is not a proportional relation since the constant of proportionality is not equal.
The correct options are A, B and C
Answer:
Question A:
1. 1/2 = 0.5 (Terminating)
2. 5/6 = 0.833333.. (Repeating)
3. 21/3 = 1.6666666.. (Repeating)
Question B:
1. 0.6 = 3/5
2. 1.25 = 5/4 = 1 1/4
3. 0.125 = 1/8
Step-by-step explanation:
A. Write the fraction or mixed number as a terminating or repeating decimal.
In order to convert a fraction into decimal, the numerator has to be divided by denominator.
1. 1/2
The answer is: 0.5 which is a terminating decimal.
2. 5/6
The answer is: 0.833333.. which is a repeating decimal.
3. 2 1/3 (assuming the question is this)
The answer is 1.6666666.. which is a repeating decimal.
B. Write the terminating decimal as fraction or mixed number i n simplest form.
1. 0.6
2. 1.25
3. 0.125
Hence,
Question A:
1. 1/2 = 0.5 (Terminating)
2. 5/6 = 0.833333.. (Repeating)
3. 21/3 = 1.6666666.. (Repeating)
Question B:
1. 0.6 = 3/5
2. 1.25 = 5/4 = 1 1/4
3. 0.125 = 1/8
<h3>Given:</h3>
The ratio of number of girls and boys in a class of 30 students is 7:8
<h3>To Find:</h3>The ratio of number of girls and boys if 5 new boys admit in the class.
<h3>Assumption:</h3>Let the number of students be x.
<h3>Solution:</h3>According to the question,
7x + 8x = 30
or, 15x = 30
or, x =
or, x = 2
7x = 7(2) = 14
8x = 8(2) = 16
There were 14 boys and 16 girls in the school.
After admitting 5 new boys, we get
14 + 5 = <u>19</u>
The ratio of number of girls and boys now is 16:19.
<h2>Answer:</h2><u>1</u><u>6</u><u>:</u><u>1</u><u>9</u>