Wendy can wash a car twice as fast as Jason. When they work together, Wendy and Jason can wash a large van in 2 hours. How many hours would it take Jason to wash the van by himself?

Answers

Answer 1

Answer: x= number of hours would it take Jason to wash the van by himself.
2x=number of hours would it take Wendy to wash the van by herserlf.

we calcaulate the fraction of work by Jason during one hour

x hours-----------------------------1 work
1 hour---------------------- fraction of work during one hour.

fraction of work during one hour=(1 hour * 1work) / x hours=1/x

we calculate the fraction of work by Wendy during one hour.
2x hours-----------------------------1 work
1 hour---------------------- fraction of work during one hour.

fraction of work during one hour=(1 hour * 1work) / 2x hours=1/2x

We can suggest this equation:
2 hours(fraction of work by Jason during one hour + fraction of work by Wendy during one hour)=1 work

2(1/x + 1/2x)=1

least common multiple=2x
2(2+1)=2x
2(3)=2x
6=2x
x=6/2
x=3

answer: 3 hours would ti take Jason to wash the van by himself.

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Alicia borrowed 15000 to buy a car. she borrowed the money at 8% for 6 years. How much will she have to pay the bank at the end of the 6 years

Answers

Answer:

She have to pay the bank at the end of the 6 years = 222000$

Step-by-step explanation:

Formula applied in this case where price, interest rate and time duration is mentioned.

Interest = prt/100

Substituting all the given values in the formula.

interest = 15000 * 6 * 8/100

150 * 6 * 8 = 7200

Interest + 15000 = 15000 + 7200 = 222000$ has to pay the total.

In this question amount is 15000 multiply by 6 and by 8 then divide it by 100 so we get the interest then we add it in to amount so we get an answer that is total amount which he has to pay.

During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?gallons

Answers

we know that

An average of $4$ cups of tea are poured per minute

Step 1

Find the number of cups that are poured in two hours by proportion

Remember that

$2\ hours=120\ minutes$

$(4)/(1) (cups)/(minute) =(x)/(120)(cups)/(minutes) \n \nx=120*4 \n \nx=480\ cups$

Step 2

Convert cups to gallons by proportion

Remember that

$16\ cups=1\ gallon$

$(1)/(16) (gallon)/(cups) =(x)/(480) (gallons)/(cups) \n \nx=480/16 \n \nx=30\ gallons$

therefore

the answer is

$30\ gallons$

The answer is 30.
There are 16 cups in a gallon. And 120 minutes in 2 hours. so multiple
16*120 which is 480. Then divide 480/120 and get 30 as your answer

Jakes car uses 6 gallons of gas to go 144 miles. How many miles can Jake go on 1/2 gallon of gas

Answers

Answer:

12 miles

Step-by-step explanation:

(1/2 gallon of gas * 144 miles)/ (6 gallons of gas)

(72 gallon of gas*miles) /(6 gallons of gas)

the answer is:

12 miles

Store A is offering two tubes of lip gloss for $7. The costs for lip gloss at Store B are shown in the table. Assume the cost for the lip gloss varies directly with the number of tubes. At which store does the lip gloss cost more? Explain.

Answers

Hi,

I think this is the table, correct?

Number of Tubes 3 5 7

Cost ($) 12 20 28

we can calculate the prize as the number of tubes multiplied by 4:
3*4=12
5*4=20
7*4=28

which means that one tube costs 4 dollars!

However, in the store A two tubes cost 7, which means that one costs half of this -3.5

So Store B is more expensive (4 dollars per 4 rather than 3.5 as in Store A).

Half of the candies in a jar are gumdrops. One-fourth of the candies are chocolates. There are 4 lollipops. There is an equal number of lollipops and chocolates. How many gumdrops are there?

Answers

If there is and equal amount of lollipops and chocolates, we know that 4 is 1/4 of the whole jar so,
1/4=4
Then,
2/4 which is 1/2 is 8
There are 8 gumdrops

Please someone can check out if my answers are correct and help me with the # 9. Thanks

Answers

looks good although 5 should be compound and 9 should be property

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