MATHEMATICS
HIGH SCHOOL

Answer: The number of pages that Monica reads from a book = 6/8

The total number of days taken by Monica to read 6/8 pages = 6

It is also given in the question that Monica reads the same number of pages each day. this makes the problem simple enough to deduce.

Number of pages that Monica reads each day = (6/8)/6

= 6/(8 * 6)

= 1/8

So Monica reads 1/8 fraction of the book each day. I hope the procedure is easy enough for you to understand.

The total number of days taken by Monica to read 6/8 pages = 6

It is also given in the question that Monica reads the same number of pages each day. this makes the problem simple enough to deduce.

Number of pages that Monica reads each day = (6/8)/6

= 6/(8 * 6)

= 1/8

So Monica reads 1/8 fraction of the book each day. I hope the procedure is easy enough for you to understand.

MIDDLE SCHOOL

How to multiply 160.8×44.3

7123.44 is the answer

160.8 x 44.3 = 7123.44

MIDDLE SCHOOL

How do you round 3.987 to the nearest tenth

3.987 rounded to the nearest tenth = 4.0

You round it by checking the Hundreths and if thr hundreths is larger than 4 its posible to round it ( the tenths)

HIGH SCHOOL

Allison has 6 blue pencils and 10 yellow pencils.sadie has 24 pencils that are either blue or yellow.the ratio of blue pencils to yellow pencils is the same for both allison and sadie.how many blue pencils and yellow pencils does sadie have?

6 (Allison's number of blue) divided by 16 (Allison's total) is equal to x (Sadie's blue) out of 24 (Sadie's total).

So 6/16=3/8=x/24. So x=3*3, so Sadie's amount of blue pencils is 9. The rest of Sadie's pencils are yellow, so Sadie has 24-9=15 yellow pencils.

So 6/16=3/8=x/24. So x=3*3, so Sadie's amount of blue pencils is 9. The rest of Sadie's pencils are yellow, so Sadie has 24-9=15 yellow pencils.

I think the answer to this question is 6:10?

HIGH SCHOOL

A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the sheet on each side through an angle Î¸. How should Î¸ be chosen so that the gutter will carry the maximum amount of water?

Answer:

I = 60°

Step-by-step explanation:

Step 1: Bending one third of the sheet

So there are two segments of 10 cm on both ends that are bent upwards and a flat part of 10 cm in the center.

The more the area of the sheet the more the flow of the water. We need to find a relation between the area of the sheet and angle.

Step 2: Area of the sheet after bending can be written as

Where h is the height of the bent up segments above the base

Step 3: Relation between Area and angle I

sin I = ; h = 10 sin(I)

cos I = ; b = 10 cos(I)

Therefore Area in terms of angle I can be written as

Step 4: Finding the maximum area.

To find the maximum are we need to differentiate the above equation and find the critical points of the equation

using trigonometric relation

therefore equation A'(I) becomes

Factorizing the above equation gives

To find the critical points we need to equate the above the equation to zero

Therefore,

I = 60° or 180°

Angle I can be either 60 or 180 for which the area is maximum, therefore we have to calculate the area using both of these angles to see which of them gives us the desired result.

Using

When I = 60°

When I = 180°

Therefore, the angle for which the sheet can carry the maximum water is 60° and the resulting area is 129.9 cm².

MIDDLE SCHOOL

The sales tax in your city is 4.4\%4.4%4, point, 4, percent, and an item costs \$3$3dollar sign, 3 before tax. How much tax would you pay on that item?

It is given that the cost of the item before the tax is $3

It is also given that the sales tax rate in the city is 4.4%.

Therefore, the tax on the item in your city in dollars will simply be the tax rate in decimal points (converted from percentage) multiplied to the cost of the item before tax.

This can be done as:

Tax Payable=

Thus the tax payable is 0.132 dollars or 13.2 cents.

HIGH SCHOOL

What is the greatest possible error when measuring to the nearest quarter of an inch?

The greatest possible error in a measurement is half of the measuring unit.

For example, what is the greatest possible error for 8 cm?

8 cm was measured to the nearest 1 cm, so the measuring unit is 1 cm. The greatest possible error is 0.5 times 1 or 0.5 cm.

COLLEGE

6y+12=-2x

x+3y=-6

In y form

Answer:

both equations reduce to y = -1/3x -2

Step-by-step explanation:

In each case, subtract the term not containing y and divide by the coefficient of y.

1. 6y = -2x -12 . . . . 12 was subtracted from both sides

y = -1/3x -2 . . . . . . the equation was divided by 6

__

2. 3y = -x -6 . . . . . . x was subtracted from both sides

y = -1/3x -2 . . . . . the equation was divided by 3

MIDDLE SCHOOL

What is 10 - 4 / (-2) + (9-5) x 3

If you're simplifying, then your answer would be 24.

I believe the answer is 24

MIDDLE SCHOOL

The points (6, 5) and (4, 1) fall on a particular line. What is its equation in slope-intercept form?

The answer in slope intercept form would be y=2x-7