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3 years ago

CAN SOMEONE HLEP ME OUT WITH THIS PLEASE AND THANK YOU

Mathematics

1 answer:

Bingel [31]3 years ago

5 0

Answer:

12 5/24 thats the answer

Step-by-step explanation:

use this website for mixed number calculator: https://www.calculatorsoup.com/calculators/math/mixednumbers.php

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Bob and Carol want to hire Able Refinishing to sand and refinish the dining room floor to match the floor in the living room. Ab

Kazeer [188]

Answer:

Area = 209.5 ft² (nearest tenth)

Cost = $505 (approximated)

Step-by-step explanation:

Step 1: convert the inches to be in feet by dividing length in inches by 12.

17 feet 10 inches => $17 + \frac{10}{12} = 17.83 ft$

11 feet 9 inches => $11 + \frac{9}{12} = 11.75 ft$

Step 2: Find the area of the floor of the dinning room

Area = 17.83*11.75 = 209.5 ft² (nearest tenth)

Step 3: Find the cost of the work.

Cost = 209.5 ft² × $2.41 = $505 (approximated)

3 0

3 years ago

A school wishes to enclose its rectangular playground using 480 meters of fencing.

Harlamova29_29 [7]

Answer:

Part a) $A(x)=(-x^2+240x)\ m^2$

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

$P=2(L+W)$

we have

$P=480\ m\\L=x\ m$

substitute

$480=2(x+W)$

solve for W

$240=x+W\\W=(240-x)\ m$

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

$A=LW$

we have

$L=x\ m\\W=(240-x)\ m$

substitute

$A=x(240-x)\\A=-x^2+240x$

Convert to function notation

$A(x)=(-x^2+240x)\ m^2$

Part b) What side length x gives the maximum area that the playground can have?

we have

$A(x)=-x^2+240x$

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

$A(x)=-x^2+240x$

Factor -1

$A(x)=-(x^2-240x)$

Complete the square

$A(x)=-(x^2-240x+120^2)+120^2$

$A(x)=-(x^2-240x+14,400)+14,400$

$A(x)=-(x-120)^2+14,400$

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

$x=120\ m$

$W=(240-120)=120\ m$

The playground is a square

$A=120^2=14,400\ m^2$

8 0

3 years ago

It's not 0.9158 or w/ the added 5 XP

Yakvenalex [24]

Answer:

go back to hong kong

imma send you back to hong kong

Step-by-step explanation:

7 0

3 years ago

What is more 7 7/9 or 7 4/5?

bezimeni [28]

First, turn the mixed numbers into improper fractions.

7 7/9 = 70/9

7 4/5 = 39/5

Second, find common denominators.

70/9 = 350/45

39/5 = 351/45

351/45 > 350/45

Therefore, 7 4/5 is greater.

Best of Luck!

5 0

3 years ago

If it takes one minute to run 130 meters how long will it take to run 1494.23 meters

Rus_ich [418]

We have to see how many times 130 fits into 1494.23:

$1494.23/130=11.4940....$

So now we have to multiply this by the amount of time needed for 130 meters:
11.4940*1=11.4940.

So the answer is 11.4940 minutes.

4 0

3 years ago

Read 2 more answers