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Three friends are training for a race. Last week, Jacquis ran 3 more miles than Ellen. Miryana ran 1.5 miles as far as Jacquis.

maks197457 [2]

ellen ran 2.5 miles last week

3 0

3 years ago

Read 2 more answers

The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. The

frosja888 [35]

Answer:

Step-by-step explanation:

Joint variation has the equation

y = kxz

k is the constant of variation and needs to be solved for using the initial conditions, then filled in later to another equation related to the given info to solve for something else. We are given y = amount of oil used, x = distance traveled, z-squared is the speed. Our equation looks like this, to be exact:

$y=kxz^2$

Filling in with the initial conditions:

$34=k(60)(20)^2$ which gives us the

k = .0014166667

Now we need to find the amount of oil used, y, under other circumstances, but this time we have our k.

$y=(.0014166667)(32)(23)^2$

which gives us that the amount of oil used, when rounded to the tenths,

y = 24.0 barrels

7 0

3 years ago

slava [35]

Answer:The area of the base will be (1)(3) m

The area of the right and left lateral faces will be (1)(2) = 2m

The area of the front and back lateral faces will be (2)(3) = 6m

The lateral area of the prism will be 16 m

Step-by-step explanation:

5 0

3 years ago

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Raul has been offered three different jobs and must choose which one to accept. One of the factors he is considering is the pay

chubhunter [2.5K]

Answer:

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

Step-by-step explanation:

Given that Raul would work 50 weeks of the year,

40 hours each week,

5 days each week,

and he would receive a 1-hour lunch break each day.

Pay rate for Job A = $35,000 / year

For Job B:

Pay rate = $15 / hour

He will work 40 hours each week.

As he works 5 days a week, so in 1 day he will work 40/5 = 8 hours.

He would receive a 1-hour break each day, for which he will not be paid, so he will receive a payment for 8-1=7 hours.

So, payment for 1 day = $15 x 7 = $105

As he works 5 days a week, so payment for 1 week = $105 x 5 = $525

As he works 50 weeks a year, so payment for 1 year = $525 x 50 = $26250.

So, the pay rate by Job B = $26250 /year

For Job C:

Pay rate = $750 / week

As he works 50 weeks a year, so payment for 1 year = $750 x 50 = $37500.

So, the pay rate by Job C = $37500 /year

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

8 0

2 years ago

The classrooms are trying to raise $1,200.00 for charity.

Svetradugi [14.3K]

Answer:

The classes need to raise $164.86 more to reach their goal of $1200.

Step-by-step explanation:

$1,200 total

Mrs. LeBlanc's class has raised 50% of the total, so they've raised $600.

1200/2 = 600

Mr. Patel's class has raised $235.14.

235.14 + 600 = 835.14

Ms. Warner's class has raised 1/3 of the total of Mrs. LeBlanc's class ($600), so they've raised $200.

600/3 = 200

835.14 + 200 = 1035.14

The three classes have raised a combined total of $1035.14.

1200 - 1035.14 = 164.86

The classes need to raise $164.86 more to reach their goal of $1200.

5 0

3 years ago