MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

3(4a + 2b)

Step-by-step explanation:

if we were to expand this back out then we would get 12a + 6b

3 x 4 = 12 then add the a (12a)

3 x 2 = 6 then add the b (6b)

then your plus sign and you have your original ancwer meaning that this problem is correct

MIDDLE SCHOOL

Root of 9216 in prime factorisation

Answer:

The square root of 9216 is 96

Step-by-step explanation:

Given the number 9216 we have to find the square root of 9216 by Prime factorization method

Prime factors of 9216 are

2*2*2*2*2*2*2*2*2*2*3*3= 9216

Now, make pairs of same factors and choose one factor out of every pair and then take the product.

Hence, the square root of 9216 is 96

HIGH SCHOOL

Adam drew two same size rectangles and divided them into the same number of equal parts. He shaded 1/3 of one rectangle and 1/4 of the other rectangle. What is the least number of parts into which both rectangles could be divided into?

he divided each rectangle in 12 identical parts

for the first rectangle he shaded 1/3 of 12 = 4 parts

for the second rectangle he shaded 1/4 of 12= 3 parts

so 12= 3*4 leads to a minimum of 12 parts

:)

MIDDLE SCHOOL

Kiyo and Steven are tiling the floors in an office building. Kiyo tiled of the floor in

one office, and Steven tiled of the floor

in another office.

Write to explain how to use a benchmark

fraction to determine who tiled a greater

portion of a floor.

The complete question is given below.

Question:

Kiyo and Steven are tiling the floors in an office building. Kiyo tiled of the floor in one office, and Steven tiled of the floor in another office. Write to explain how to use a benchmark fraction to determine who tiled a greater portion of a floor.

Answer:

Kiyo tiled a greater portion of a floor

Solution:

Kiyo tiled in one office =

Steven tiled in another office =

Bench mark fraction means comparing fractions with common fraction or number. Most probably we use as the common fraction.

Compare and using :

is equal to the fraction .

Steven tiled the floor < Kiyo tiled the floor.

Hence Kiyo tiled a greater portion of a floor.

COLLEGE

3-11x ≤ 36

3- x > 2

2x + x > 12

Need work

3 - 11x < 36 ( I can’t make the signs have a line underneath them, but I do mean for there to be a line)

Subtract 3 from both sides

-11x < 33

When you divide a negative, the sign flips

x > -3

3 - x > 2

Subtract 3 sides

-x > -1

x < 1

3x > 12

x > 4

Hope this helps!

Subtract 3 from both sides

-11x < 33

When you divide a negative, the sign flips

x > -3

3 - x > 2

Subtract 3 sides

-x > -1

x < 1

3x > 12

x > 4

Hope this helps!

HIGH SCHOOL

Stefan bought 5 posters to add to his collection. A week later half of all his posters were lost during a move. There are now only 15 posters left. With how many posters did he start?

Answer:he started with 35 posters

Step-by-step explanation:

Let x represent the number of posters that he started with.

Stefan bought 5 posters to add to his collection. This means that the number of posters at this point is

x+ 5

A week later half of all his posters were lost during a move. This means that the amount of posters that were lost is (x+5)/2

The amount of posters left would be x - (x+5)/2

There are now only 15 posters left. This means that

x - (x+5)/2 = 15

Multiplying through by 2

2x - x - 5 = 30

2x - x = 30 + 5

x = 35

HIGH SCHOOL

The monthly earnings of computer systems analysts are normally distributed with a mean of $4,300. If only 1.07% of the systems analysts have a monthly income of more than $6,140, what is the value of the standard deviation of the monthly earnings of the computer systems analysts?

Answer:800

Step-by-step explanation:

and 6140)=0.0107" alt="P(X>6140)=0.0107" align="absmiddle" class="latex-formula">

x_0)=0.0107" alt="P(X>x_0)=0.0107" align="absmiddle" class="latex-formula">

Using Z table to get InvNormal(0.9893)=2.30

HIGH SCHOOL

Fill in the scale dimensions in the table to the nearest thousandth. The scale of a blueprint is 1/4 inch = 1 foot. A house has 1 bedroom measuring 10 feet 6 inches by 11 feet, a living room measuring 25 feet by 18 feet 8 inches, a kitchen measuring 13 feet 6 inches by 8 feet, and a dining room measuring 12 feet by 10 feet. Put the shortest length in the first box for each room. Give all answers to three decimal places (thousandths place). bedroom inches by inches

living room inches by inches

kitchen inches by inches

dining room inches by inches

Since 1' = 12'', so the scale 1/4'' to 1' is 1/4'' to 12'', or, multiplying both sides by 4, 1 to 48.

Convert all dimensions given from foot/inches to inches, then scale them down, dividing by 48.

10ft 6in=10*12+6=126+6=132 dividing by 48. 132/48=2.75/48=0.0572*1000=57.2 inches

18' 8'' = 18 * 12 + 8 inches = 216 + 8 = 224 inches. Dividing by 48: 224/48 = 4 32/48 = 4 2/3 inch*1000=66.6

Convert all dimensions given from foot/inches to inches, then scale them down, dividing by 48.

10ft 6in=10*12+6=126+6=132 dividing by 48. 132/48=2.75/48=0.0572*1000=57.2 inches

18' 8'' = 18 * 12 + 8 inches = 216 + 8 = 224 inches. Dividing by 48: 224/48 = 4 32/48 = 4 2/3 inch*1000=66.6

MIDDLE SCHOOL

If Jane has 36 coins totaling $3.00, and the coins are all nickels and quarters, how many of each coin does she have?

There are 30 nickels and 6 quarters.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Jane has 36 coins totaling $3.00.

Now,

Let number of nickels = x

And, Number of quarters = y

Since, Jane has 36 coins totaling $3.00.

Hence, We get;

⇒ x + y = 36 ..(i)

And, 0.05x + 0.25y = 3 ..(ii)

Solve both equation as;

⇒ 0.05x + 0.05y = 1.8

Subtract from (ii), we get;

⇒ 0.25y - 0.05y = 3 - 1.8

⇒ 0.20y = 1.2

⇒ y = 6

And, x + y = 36

x + 6 = 36

x = 30

Thus, There are 30 nickels and 6 quarters.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

14 I think so....

Step-by-step explanation:

HIGH SCHOOL

The length of the one side of a square is 24 cm. Find the length of the diagonal.

Show work.

Using the Pythagorean Theorem:

diagonal^2 = side^2 + side^2

diagonal^2 = 24^2 + 24^2

diagonal^2 = 576 + 576

diagonal^2 = 1,152

diagonal = 33.94

diagonal^2 = side^2 + side^2

diagonal^2 = 24^2 + 24^2

diagonal^2 = 576 + 576

diagonal^2 = 1,152

diagonal = 33.94