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3 years ago

A cafeteria measures 40 feet by 60 feet.

Mathematics

2 answers:

ziro4ka [17]3 years ago

8 0

Ft^2 because you’re finding area

Elena-2011 [213]3 years ago

4 0

Ft^2 because we’re measuring how much area is needed to cover the floor not fill the room
Length: ft
Area: ft^2
Volume: ft^3

You might be interested in

Which operation results in an expression equivalent to ? 23y^4 - 6y^3 + 35y^2 - 20y

Tom [10]

Answer:

D. P + Q

Explanation:

Given:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7)

Required:

Determine which operation will give an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

SOLUTION:

Perform each operation given to see which of them gives an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

Q - P:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7)

Q - P = (5y² - 4y)(3y² + 7) - (8y⁴ + 6y³ + 8y)

(5y²(3y² + 7) -4y(3y² + 7)) - (8y⁴ + 6y³ + 8y)

(15y⁴ + 35y² - 12y³ - 28y) - (8y⁴ + 6y³ + 8y)

Open parentheses

15y⁴ + 35y² - 12y³ - 28y - 8y⁴ - 6y³ - 8y

Collect like terms

15y⁴ - 8y⁴ - 12y³ - 6y³ + 35y² - 28y - 8y

7y⁴ - 18y³ + 35y² - 36y

Therefore, P - Q does not give us an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

PQ:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7) = (15y⁴ + 35y² - 12y³ - 28y)

PQ = (8y⁴ + 6y³ + 8y)(15y⁴ + 35y² - 12y³ - 28y)

=(8y⁴(15y⁴ + 35y² - 12y³ - 28y) +6y³(8y⁴ + 6y³ + 8y)(15y⁴ + 35y² - 12y³ - 28y) +8y(8y⁴ + 6y³ + 8y)(15y⁴ + 35y² - 12y³ - 28y))

= 120y⁸ . . . . .

Note: You don't need to perform this operation further anymore. It would definitely not give us the equivalent expression we are looking for. The degree of the leading term (120y⁸) is way too greater than the degree of the leading term (23y⁴) of the equivalent expression we are looking for.

Thus, PQ cannot give us an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

P - Q:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7) = (15y⁴ + 35y² - 12y³ - 28y)

P - Q = (8y⁴ + 6y³ + 8y) - (15y⁴ + 35y² - 12y³ - 28y)

Open parentheses

8y⁴ + 6y³ + 8y - 15y⁴ - 35y² + 12y³ + 28y

Collect like terms

8y⁴ - 15y⁴ + 6y³ + 12y³ - 35y² + 8y + 28y

-7y⁴ + 18y³ - 35y² + 36y

Therefore, P - Q cannot give us an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

P + Q:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7) = (15y⁴ + 35y² - 12y³ - 28y)

P + Q = (8y⁴ + 6y³ + 8y) + (15y⁴ + 35y² - 12y³ - 28y)

Open parentheses

8y⁴ + 6y³ + 8y + 15y⁴ + 35y² - 12y³ - 28y

Collect like terms

8y⁴ + 15y⁴ + 6y³ - 12y³ + 35y² + 8y - 28y

23y³ - 6y³ + 35y² - 20y

Therefore, P + Q will result in an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

The answer is D.

7 0

3 years ago

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 5 fewer than three times the number of songs that

PSYCHO15rus [73]

Answer:

Guitarist wtote 25 songs

Drummer wrote 10 songs

Step-by-step explanation:

G: number of guitarist songs

D: number of Drummer songs

We have:

G=3D - 5 (The guitarist wrote 5 fewer than three times the number of songs that the drummer wrote)

G+D=35 (They wrote a total of 35 songs)

That is the meaning of each equation.

Now we have to solve these system of equations:

G=3D-5

G+D=35

Using the substitution method:

(3D-5)+D=35

4D=35+5

4D+40

D=10

Thus: G=35-10

G=25

3 0

3 years ago

What is 3/8 + 5 6/8? because i tried but i thinks it is wrong please tell me.

elena-14-01-66 [18.8K]

Convert the 5 6/8 into a fraction
46/8
3/8+46/8=49/8
or
6 1/8

5 0

4 years ago

Read 2 more answers

(b) The globe has a radius of 28.5 cm. Find the surface area of the globe. Round your answer to two decimal places. Use:

damaskus [11]

Answer:

$\boxed {\boxed {\sf 10,207.03 \ cm^2}}$

Step-by-step explanation:

Surface area is the total area of the surface of an object. A globe is a sphere and the formula for calculating a sphere's surface area is:

$SA= 4 \pi r^2$

The radius (r) of the globe is 28.5 centimeters. Substitute this value into the formula.

r= 28.5 cm

$SA= 4 \pi ( 28.5 \ cm)^2$

Solve the exponent. Multiply the number by itself.

(28.5 cm)²= 28.5 cm * 28.5 cm = 812.25 cm²

$SA= 4 \pi (812.25 \ cm^2)$

Multiply 4, pi and 812.25 centimeters together.

$SA= 12.56637061 (812.25 \ cm^2)$

$SA= 10207.03453 \ cm^2$

Round to two decimal place or the hundredth place. The 4 in the thousandth place to the right (10207.03453) tells us to leave the 3 in the hundredth place (10207.0<u>3</u>453).

$SA \approx 10207.03 \ cm^2$