MATHEMATICS
MIDDLE SCHOOL

Answer: The answer would be 1/4 laps per minute, because you need to divide 2 by 8 to get 14

Answer: It would be 4 minutes per lap

COLLEGE

In still water Kevin and Virginia can paddle a canoe at 12mph.It takes them a total of 6hours to paddle 32 miles up a river and then return the same distance to their starting point. What is the rate of the current?

Let c represent the speed of the current.

time = distance/speed

Upriver, the current is subtracted from the canoe speed; downriver, it adds.

6 = 32/(12 -c) +32/(12 +c)

6(12² -c²) = 32(12 +c) +32(12 -c) . . . . . multiply by (12 +c)(12 -c)

0 = 6c² -96 . . . . . . . . . . . . . . . . . . . . . . subtract the left side

96/6 = c² . . . . . . . . . . . . . . . . . . . . . . . . add 96, divide by 6

4 = c . . . . . . . . . . . . . . . . . . . . . . . . . . . . take the square root

The rate of the current is 4 mph.

time = distance/speed

Upriver, the current is subtracted from the canoe speed; downriver, it adds.

6 = 32/(12 -c) +32/(12 +c)

6(12² -c²) = 32(12 +c) +32(12 -c) . . . . . multiply by (12 +c)(12 -c)

0 = 6c² -96 . . . . . . . . . . . . . . . . . . . . . . subtract the left side

96/6 = c² . . . . . . . . . . . . . . . . . . . . . . . . add 96, divide by 6

4 = c . . . . . . . . . . . . . . . . . . . . . . . . . . . . take the square root

The rate of the current is 4 mph.

HIGH SCHOOL

Which represents the solution set of 5(x+5)<85

For this case we must find the solution of the following inequality:

5(x+5)

X

HIGH SCHOOL

A bread recipe calls for 4 eggs for every one and a half pounds of flour do you use if you have 12 lb of flour how many eggs would you need to make all the bread that you could

You would need 32 eggs for 12 lbs of flour according to the ratio

Answer:

32 eggs

Step-by-step explanation:

we need to find the number which, when multiplied with 1 1/2, = 12. To do this, we can do 12÷1 1/2 = 8.

Since there is 8 times the amount of flour used, there must be 8 times the amount of eggs used to keep the ingredients in proportion.

4 x 8 = 32

32 eggs would be used to make all the bread possible with 12 pounds of flour.

Hope that was helpful.Thank you!!!

MIDDLE SCHOOL

Solve the equation: 98= 3y -4. Please help, please dont put a random answer........ you dont want that to happen to you if you ask a question.......

The answer is y=34. Hope this helps ;)

You first want to leave your 3y alone so you have to move the -4 to the other side. The simplest way to get rid of it is to add 4 to each side. You now have 98+4=3y or 102=3y. You now wish to leave the y alone so you divide by 3. (102/3=3y/3) That should be equal to 34=x.

COLLEGE

A bottle of the medicine contains 0.5 kilograms of the medicine. One dose of the medicine is 20 grams for a child and 45 grams for an adult. The number of grams used can be calculated with the formula 20C + 45A, where A is the number of adult doses and C is the number of child doses. If a medical assistant needs to give a dose of the medicine to 12 adults and 10 children, will there be enough medicine in the bottle? If not, how many more grams will be needed?

The number of grams is calculated by the formula

20C +45A

, where C is number of child doses and A is number of adult doses

Now it says

medical assistant needs to give a dose of the medicine to 12 adults and 10 children

It means we plug C= 10 and A= 12

20(10) +45(12) = 200+540 = 740 grams

change it to kilograms we get

0.74 kilograms

Now doctor needs 0.74 kilograms , but the bottle contains only 0.50 kilograms

So it means It will not be enough and

0.74-0.50 = 0.24 grams

0.24 more grams will be needed

MIDDLE SCHOOL

Monica went to the fair and paid for lunch as well as tickets to ride several rides the expression 1.5 X +9 represents her total costs what do the different parts of the expression model

Answer:

The expression: 1.5x +9 represents the amount of money that monica spent.

We know that monica paid for lunch as well as tickets to ride several times.

The number 9 in the expression represents the amount of money she paid for lunch.

The 1.5x represents the money spent riding. Each ride costs 1.5 and 'x' comes to be the number of rides she took.

MIDDLE SCHOOL

Mikes music sold 287 CDS on the first-day a sale.The store sold 96 more CDS on the second dastaan on first day. How many cds in all were sold during the second day Sale?

The answer is 383. all you have to do is add 287 to 96

MIDDLE SCHOOL

The water in a reservoir decreased by 47% during a drought. Before the drought, the reservoir held 44,580 acre ft (AF) of water.

44,580 x 47 %

44,580 x .47 = 20,952.6

So, the water decreased 20,952.6 ft

If you want the water level after the drought just subtract.

44,580 - 20,952.6 = 23,627.4 ft

Hope this helps. :)

MIDDLE SCHOOL

Use the data in the table below to complete the exercise. Round off your answers to a tenth of a percent. Blood types per 100 people.

Blood Type O+ O− A+ A− B+ B− AB+ AB−

Occurrence 37 8 32 5 9 3 4 2

Of all the people who have type O blood, what percent are the following?

(a) Rh positive

%

(b) Rh negative

%

Answer:

Answer: Of all the people who have type O blood, what percent are the following?

(a) Rh positive = 39/46 = 0.8 = 80%

(b) Rh negative = 20% Edit

Step-by-step explanation: