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3 years ago

For the purpose of purchasing new baseboard andâ€‹ carpet, complete parts a and b below.

Mathematics

1 answer:

Phantasy [73]3 years ago

3 0

Answer:

(a)i. Area=72 square feet

ii. Perimeter =34 feet

(b) Baseboard - perimeter

Carpet - area

Step-by-step explanation:

The room is 9ft x 8ft, therefore it is rectangular shaped.

Length=9ft; Breadth=8ft

(a)i. Area of a Rectangle= Length X Breadth

Area of the room=8X9=72 square feet

ii. Perimeter of a Rectangle=2(Length+Breadth)

Perimeter of the room=2(8+9)=2 X 17 =34 feet

(b) A baseboard goes around the edge or boundary of the room, so it has to do with perimeter

A carpet covers the entire floor so it has to do with the area of the room.

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Luke has 4 more than triples the number of model cars that Andrew has. Luke has 31 cars. How many cars does Andrew have? {Write

bija089 [108]

Answer:

Andrew has 9 cars

Step-by-step explanation:

Let's start by defining what our unknowns are and how to name them:

For the number of cars Andrew has: let's use the letter A

For the number of cars Luke has: let's use the letter L

Not write the first sentence in mathematical terms:

"Luke has 4 more than triples the number of cars that Andrew has."

L = 3 * A + 4

The second phrase results on a very simple equation since it just states the number of cars that Luke has:

L = 31

Now we can combine these two equations by replacing the variable "L" in the first equation with the second equation and then solve for A:

L = 3 * A + 4

31 = 3 * A +4

31 - 4 = 3 * A

27 = 3 * A

A = 27/3

A = 9

Therefore, Andrew has 9 cars.

3 0

3 years ago

Given the rational expressions 7/(x ^ 2 - 12) and (2x - 1)/(x + 2) which of the following is true?

goldenfox [79]

Answer:

option C

Step-by-step explanation:

$\frac{\frac{2x-1}{x+2}}{\frac{7}{x^{2}-12}}=\frac{2x-1}{x+2}*\frac{x^{2}-12}{7}\\\\\\=\frac{(2x-1)(x^{2}-12)}{7(x+2)}$

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3 years ago

An object in geometry with no width, length or height is a(n):

il63 [147K]

Answer:

Point

Step-by-step explanation:

Just see it like this

we have a cube, so we have x-, y- and z- axis.

Now if we divide this cube by its z- value we will have a 2 dimensional figure with x- and y- axis.

If we keep doing this we will have a 1 dimensional figure with only a x - axis (a line) and if we divide that 1 more time we will make the figure collapse in 1 point.

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3 years ago

The table shows the scores for four students on a math test. Who earned the highest grade?

geniusboy [140]

The answer is Mary, Mary got 88% Ben got 86% and Jim got 85%

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3 years ago

Solve the equation. Then check your solution

kondaur [170]

Answer:

Option B is correct i.e. 21

Step-by-step explanation:

In the question we're provided with an equation that is :

v/7 = 3

And we are asked to find the solution for the equation .

Solution : -

 $\longrightarrow \: \frac{v}{7} = 3$ 

Multiplying by 7 on both sides :

$\longrightarrow \: \frac{v}{ \cancel{7} }\times \cancel{7} = 3 \times 7$

On further calculations , we get :

$\longrightarrow \: \blue{\boxed{v = 21}}$

Therefore , solution for equation is 21 .That means option B is the correct answer.

Verifying :

We are verifying our answer by substituting value of v in the equation given in question :

$\longrightarrow \: \frac{v}{7} = 3$

Putting value of v :

$\longrightarrow \: \cancel{\frac{21}{7}} = 3$

By dividing 21 with 7 , we get :

$\longrightarrow \:3 = 3$

$\longrightarrow \: L.H.S=R.H.S$

$\longrightarrow \: Hence , \: Verified.$

Therefore , our answer is valid .

<h2>#Keep Learning</h2>

3 0

2 years ago

Read 2 more answers