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3 years ago

Frances gets 6 paychecks in 12 weeks. how many paychecks does she get in 52 weeks?

2 answers:

6 0

In this question it is important to look at all the information's that are given. Based on those given information's, the answer to the question can be very easily deduced. Now let us concentrate on the problem in hand.
The number of paychecks that Frances gets in 12 weeks = 6
Then
The number of paychecks that Frances gets in 1 week = (6/12)
= (1/2)
So
The number of paychecks that Frances gets in 52 weeks = (1/2) * 52
= 26
So Frances gets 26 paychecks in 52 weeks.

Alinara [238K]3 years ago

3 0

52 weeks* (6 paychecks/ 12 weeks)= 26 paychecks.
(Note that the unit cancels out so you get the answer)

The final answer is 26 paychecks~

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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

Plz help!

Thepotemich [5.8K]

Answer:

Step-by-step explanation: -13 to 7 think about that. We have to add 13 to make it 0. Then we add 7. So 13 plus 7 is 20. Enjoy :)

4 0

3 years ago

Jordan is putting a fence around a garden that is shaped like a half circle and rectangle

grin007 [14]

Answer:

92 ft

Step-by-step explanation:

Assume the garden has the shape shown below.

The length of fencing equals the distance around three sides of the rectangle plus that around the semicircle.

1. Around the rectangle

Distance = 28 ft + 14 ft + 28 ft = 70 ft

2. Around the semicircle

For a circle.

C = 2πr

For the semicircle,

½C =½(2πr) = πr

D = 14 ft, so

r = 7 ft

$\text{Distance} = \dfrac{22}{7} \times \text{7 ft} = \text{22 ft}$

3. Total distance

Distance = 70 ft + 22 ft = 92 ft

Jordan will need 92 ft of fencing.

8 0

3 years ago

Mia has 40 tens. write how many hundreds. write the number

riadik2000 [5.3K]

Answer:

400

Step-by-step explanation:

You would multiply 40 by 10=400

4 0

4 years ago

During an election، 70% of the population voted. If 70,000 people cast their votes, what is the population of the town?

slava [35]

Answer:

100,000

Step-by-step explanation:

70,000 people = 70% of the population.

Divide 70,000 by 70 to get the number of population per 1%:

70000 ÷ 70 = 1000

Therefore, 1000 people represent 1% of the population.

To calculate 100% of the population, multiply the number of people representing 1% by 100:

1000 x 100 = 100,000

Therefore, the population of the town = 100,000

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3 years ago