MATHEMATICS
MIDDLE SCHOOL

Answer: Body Weight: w=(t+0.5w)+t

Tail Weight: t=4

Head Weight: t+0.5w

w=t+0.5w+t

But t=4,

w=4+0.5w+4

w-0.5w=8

0.5w=8

Therefore: w=16.

Tail Weight: t=4

Head Weight: t+0.5w

w=t+0.5w+t

But t=4,

w=4+0.5w+4

w-0.5w=8

0.5w=8

Therefore: w=16.

HIGH SCHOOL

What is the value of log 43? Use the calculator. Round your answer to the nearest tenth.

The answer to your question is 1.6

The answer is: 1.5, meaning 43 is approximately 10^1.5.

MIDDLE SCHOOL

What is 14/28 in simplest form

14/28 = (14/14)/(28/14) = 1/2

To make 14/28 into the simplest form, divide it by 14, since they could both be divided by 14. The answer to this would be 1/2.

COLLEGE

50 POINTS!! A 96-ounce container of juice costs $4.80. At what price should a 128-ounce container be sold in order for the unit rate for both items to be the same? Explain your reasoning.

Answer:

$6.40 because 32 ounces is the difference 128 and 96 hence 32 is 1/3 of 96 so divide $4.80 by 3 which is $1.60 then add $1.60 + $4.80 =$6.40

Step-by-step explanation:

MIDDLE SCHOOL

Carmen reads a book at a rate of 26 Chapters perhour how many chapters does she read in 2 hours ?

Answer:

52 Chapters

Explanation:

26 chapters for every 1 hour

26 chapters (1 hour) + 26 chapters (1 hour) = 52 chapters (2 hours)

COLLEGE

65% of students in a statistics class said that they liked statistics more than algebra. if 3 of these students are randomly selected, what is the probability that all 3 students said that they liked statistics more than algebra? express your answer as a decimal rounded to the thousandths place.

The answer to this question depends on the class size. However if we assume the class is sufficiently large then we can assume the 65% ratio stays relatively constant as students are selected. In this case we will treat selecting three students as independent events. Therefore we can multiply the probabilities. Finally, the probability of selecting three students that all like statistics more than algebra is (0.65)x(0.65)x(0.65) = 0.275.

MIDDLE SCHOOL

The area of a rectangular patio is (12x - 4) square units. What are possible dimensions of the patio?

The possible dimensions of the patio are,

1(12x-4)

2(6x-2)

4(3x-1)

What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

The area of a rectangular patio is (12x - 4) square units.

now,

We need two terms that multiply to (12x-4).

The term on the outside needs to be a common multiple of 12 and 4.

The common factors are 1, 2, and 4.

Here are the following possible dimensions:

1(12x-4)

2(6x-2)

4(3x-1)

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

You need two terms that multiply to (12x-4). The term on the outside needs to be a common multiple of 12 and 4. The common factors are 1, 2, and 4. Here are the following possible dimensions:

1(12x-4)

2(6x-2)

4(3x-1)

Hope this helps.

1(12x-4)

2(6x-2)

4(3x-1)

Hope this helps.

HIGH SCHOOL

Suppose a normal distribution has a mean of 20 and a standard deviation of 4. A value of 26 is how many standard deviations away from the mean?

1.5 std dev from the mean

HIGH SCHOOL

The length of a rectangle is 2 centimeters longer than its width. The perimeter is 16 centimeters. What are the length and width of the rectangle

The length of a rectangle is 2 centimeters longer than its width. The perimeter is 16 centimeters.

Length of rectangle = L

Width of the rectangle = W

The length of a rectangle is 2 centimeters longer than its width.

So L = W + 2

Perimeter of rectangle = 2* length + 2* width

Given perimeter = 16cm

Subtract 4 on both sides

12 = 4W

Divide by 4 on both sides

3 = W

So width of the rectangle = 3 cm

Length = W + 2 = 3+2 = 5 cm

6 centimeters long !!!!!!!

MIDDLE SCHOOL

The volume of a cylinder is 980pi in3. The radius is 7 in. What is its height? A) 10 in

B) 140 in

C) 70 in

D) 20 in

Answer:

D) 20 in

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

Substituting what we know

980 pi = pi (7)^2 h

Divide each side by pi

980 pi /pi= pi 49 h/pi

980 = 49h

Divide each side by 49

980/49 = 49h/49

20 =h

Answer:

h ≈ 20 inches

Step-by-step explanation:

Given volume 980 pi inches cubed and radius 7 inches.

Using the height formula for right cylinder

h = V/π r^2

h = 3078.78/π7^2

h ≈ 20 inches