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2 years ago

Add the expressions 4 - 2/3b+ 1/4a and 1/2a + 1/6b - 7. What is the simplified sum?

Mathematics

2 answers:

klasskru [66]2 years ago

4 0

Answer:

$\frac{3}{4}a-\frac{1}{2}b-3$

Step-by-step explanation:

Given the expressions: $4 -\frac{2}{3}b+\frac{1}{4}a $ and $ \frac{1}{2}a + \frac{1}{6}b - 7.$

We add:

$4 -\frac{2}{3}b+\frac{1}{4}a + \frac{1}{2}a + \frac{1}{6}b - 7\\\\$First, we reorder the terms$\\\\=4 - 7-\frac{2}{3}b+ \frac{1}{6}b+\frac{1}{4}a + \frac{1}{2}a \\\\=-3+(\frac{1}{6}-\frac{2}{3})b+(\frac{1}{4}+\frac{1}{2})a\\\\=-3-\frac{1}{2}b+\frac{3}{4}a\\\\=\frac{3}{4}a-\frac{1}{2}b-3$

ryzh [129]2 years ago

3 0

Answer:

3/4a-1/2b-3

Step-by-step explanation:

i am right b/c i just took the test

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List least to greatest

max2010maxim [7]

Answer:

C, 3 1/2, 3 19/20, 3 39/40

Step-by-step explanation:

to make this a bit easier, we can put the mixed numbers into improper fractions:

3 39/40 becomes 159/40

3 19/20 becomes 79/20

3 1/2 becomes 7/2

comparing them to each other, we see they have unlike denominators. we need to get the denominators alike so we can compare them easier

the fractions all have a common denominator of 40, so we need to multiply each fraction by a number that gives us a denominator of 40

159/40 is already fine

79/20 needs to be multiplied by 2 to get a denominator of 40

79/20 x 2 = 158/40

7/2 needs to be multiplied by 20 to get a denominator of 40

7/2 x 20 = 140/40

from least to greatest, we have the following:

140/40, 158/40, 159/40

in their original form this would be:

3 1/2, 3 19/20, 3 39/40

the answer would be C

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3 years ago

Hugo has $20. he spends n dollars.How much does he have left?

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Answer:

Depends

Step-by-step explanation:

If n is 1n then he have 20 dollars left but if we don't know about the value of n the it is still 20

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2 years ago

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2/3? 1 plus 1 plus 2 equals 4. 4 over 6 can be simplified to 2/3

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The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past

galina1969 [7]

Complete Question

The complete question is shown on the uploaded image

Answer:

1 ) The correct option B

2) The correct option is C

3) The correct option is C

4) The correct option is C

Step-by-step explanation:

From the question we are told that

The proportion that own a cell phone is $p = 0.90$

The sample size is n = 15

Generally the appropriate distribution for X is mathematically represented as

$X \ is \ B( n , p )$

$X \ is \ B( 15 , 0.90 )$

Generally the number students that own a cell phone in a simple random sample of 15 students is mathematically represented as

$\mu = n * p$

$\mu = 15 * 0.90$

$\mu = 13.5$

Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as

$\sigma = \sqrt{ n * p * q }$