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attashe74 [19]
2 years ago
15

Henry correctly subtracted 3p+5/3p from p+3/p-2 and got 12p^2+9p-3p^2+p+10/(p-2)(3p). What is the simplified difference?

Mathematics
1 answer:
IrinaK [193]2 years ago
8 0

Answer:

Step-by-step explanation:

Henry subtracted ( 3p+5)/3p from ( (\frac{p+3}{p-2}) and got

\frac{(12p^{2}+9p-3p^{2}+p+10}{(p-2)(3p)}

We have simplify the difference

= \frac{(12p^{2}+9p-3p^{2}+p+10}{(p-2)(3p)} = \frac{(12p^{2}-3p^{2})+(9p+p)+10}{(p-2)(3p)}

= \frac{9p^{2}+10p+10}{(p-2)(3p)}

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Kazeer [188]

Answer:

We need to find which expressions are equivalent to 6(c+6), 6c+6 or neither.

6c+12: We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.

6c+12=+(c+2)

Therefore, this expression is equivalent to neither of the given expressions.

2(3c+3): We just need to apply the distributive property.

2(3c+3)=6c+6

Therefore, this expression is equivalen to 6c+6.

We use the same process to the other expressions.

(6c)+(6\times 6)=6c+36=6(c+6)

3c+6+3c=6c+6

6c+36=6(c+6)

(6+c)+(6+6)=c+18, equivalent to neither.

7 0
2 years ago
Giuliana has 22 quarters and dollar coins worth a total of $10.75. Which equation can be used to find d, the number of dollar co
vovangra [49]

Answer:

Option (3). 0.25(22 - d) + d = 10.75

Step-by-step explanation:

Total number of coins Giuliana has = 22

Let the number dollar coins Giuliana has = d

Number of quarters with Giuliana = (22 - d)

Value of dollar coins and quarters = $10.75

So the equation will be,

Number of dollars coins × $1 + Number of quarters × $0.25 = $10.75

d + 0.25 × (22 - d)  = 10.75

Therefore, to determine the number of dollars with Giuliana equation will be used,

d + 0.25(22 - d) = 10.75

Option (3) will be the answer.

4 0
2 years ago
Read 2 more answers
Dmitri wants to cover the top and sides of the box shown with glass tiles that are 3 5 mm square How many tiles does he need 20
Anna35 [415]
Lets split the box in pieces and then add:
top = 20*15 = 300
sidesA = 2*20*9 = 360, is multiplied  by 2 cause there are 2 sides like this
sidesB = 2*9*15 = 270, is multiplied  by 2 cause there are 2 sides like this
so in total we have:
total = 300 + 360 + 270 = 930 cm^2
if we express this quantity in mm^2 we have:
<span>1cm² = 100 mm²</span>total = 930*100 = 93000 mm^2
so if the tiles are 5 mm^2 we need:
total tiles = <span>93000/5 = 18600
we need 18600 tiles of 5 mm^2</span>
8 0
2 years ago
The Fortune 500 is comprised of Fortune magazine's annual list of the finite population of the top 500 companies in the U.S. ran
Serjik [45]

Answer:

The standard error of the proportion is 0.0367.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the standard error is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.16, n = 100

So

s = \sqrt{\frac{0.16*0.84}{100}} = 0.0367

The standard error of the proportion is 0.0367.

4 0
2 years ago
A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month
artcher [175]
The formula is
Fv=p [(1+r)^(t)-1)÷r)
Fv ?
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T 6. June
Fv=5000 [(1+0.075)^(6)-1)÷0.075]
Fv=36220....answer

6 0
2 years ago
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