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2 years ago

Please find this answer

Mathematics

1 answer:

Semenov [28]2 years ago

3 0

Answer: I cant see the picture so I cant help sorry

Step-by-step explanation:

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Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor

Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

Solution:

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is $\frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }$

If they work together they can do the entire prospectus in five hours

$\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}$

On cross-multiplication we get,

$\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}$

$\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}$

On cross multiplication ,we get

$\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}$

using quadratic formula:-

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$x=\frac{12 \pm \sqrt{144-40}}{2}$

$\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}$

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0

3 years ago

Which one express a ratio between 3/4, 3:4, 3 of 4 , 3 to 4

Alex777 [14]

Answer:

3/4, 3:4, 3 to 4

Step-by-step explanation:

5 0

2 years ago

Eric is adding water to a 60

Archy [21]

Answer:

After 2.5 minutes the pool will have 27 gallons of water.

Step-by-step explanation:

The pool has already 12 gallons of water and Eric wants to fill it to at least 27 gallons.

The water is flowing at a rate of 6 gallons per minute.

Let, after t minutes the pool will have at least 27 gallons of water.

Therefore, we can write the equation as

27 = 12 + 6t

⇒ 6t = 15

⇒ t = 2.5 minutes.

Therefore, after 2.5 minutes the pool will have 27 gallons of water. (Answer)

8 0

3 years ago

Kyle wants to compare 0.02 to 1/4 using fractions. Which fraction can you use for 0.02?

Crazy boy [7]

Answer:

$\frac{1}{50}$

Step-by-step explanation:

$\text{Kyle wants to compare 0.02 to }\frac{1}{4} \text{ using fractions}\\\\\text{we need to convert 0.02 into fractional form.}\\\\\text{to convert a decimal into fractional form we divide by }10^n,\\\text{where n is the number of digits after decimal, and remove decimals}\\\text{from the number.}\\$

$\text{here in 0.02, we can see that the number of digits ater decimal is 2,}\\\text{so to convert it into fractional form, we get}\\\\0.02=\frac{2}{10^2}\\\\=\frac{2}{100}\\\\=\frac{1}{50}\\\\\text{so in decimal form, we can write 0.02 as }\frac{1}{50}\\$

3 0

3 years ago

Any polygon with two pair of parrallel opposite sides is a parallelogram? True or false

Pachacha [2.7K]

Answer:

True

Step-by-step explanation:

A parallelogram always has two pairs of opposite parallel sides with four right angles. Furthermore any polygon with 2 opposite pairs of parallel sides would be considered a parallelogram.

8 0

3 years ago

Please find this answer ​

Please find this answer