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kicyunya [14]
3 years ago
15

The floor of a room is being covered with tile. An area one half

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

Only the floor area \frac{3}{8} has been covered

Step-by-step explanation:

Assuming that the floor of the room is rectangular, then its area is equal to the product of its length times its width.

A = lw

Let's now call A 'the area that was covered with tiles.

We know that half the length was covered, then:

l' = \frac{1}{2}l

w' = \frac{3}{4}w

So:

A' = \frac{1}{2}l(\frac{3}{4}w)

A' = \frac{3}{8}lw

Finally:

A' = \frac{3}{8}A


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Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After 444 hours, he had 350350350 page
natali 33 [55]

Answer:

y=-55x+570

Step-by-step explanation:

The correct question is

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read.

Let y represent the number of pages left to read after x hours.

Complete the equation for the relationship between the number of pages left and number of hours.

Let

x -----> the time in hours

y ----> the number of pages left to read

we know that

The linear equation in point-slope  form is equal to

y-y1=m(x-x1)

In this problem we have

m=-55\frac{pages}{hour}  ----> is negative because the linear function is decreasing

point\ (4,350)

substitute

y-350=-55(x-4)

y-350=-55x+220

y=-55x+220+350

y=-55x+570

8 0
4 years ago
Sherry had an ending balance f 125.36, outstanding deposits of 153.53, and utstanding checks of $100.19. What was her checkbook
DENIUS [597]

Answer:

The checkbook balance is $178 .7.

Step-by-step explanation:

As given

Sherry had an ending balance $ 125.36, outstanding deposits of $153.53, and outstanding checks of $100.19.

Thus

Checkbook balance = Ending balance + Outstanding deposits -  Outstanding checks

Putting the values in the above

Checkbook balance = $ 125.36 + $153.53 - $100.19

                                  = $ 278.89 - $100.19

                                  = $ 178.7

Therefore the checkbook balance is $178 .7.

6 0
3 years ago
The figure is made up of a cylinder and a cone.
Gnoma [55]

Answer:

51*pi or 160.221

Step-by-step explanation:

total volume = volume of a cone + volume of a cylinder

total volume = 1/3* pi*r^2* height(of cone) + pi* r^2 *height(of cylinder)

total volume = 1/3 * pi * 3^2 * 5 + pi * 3^2 * 4

total volume = 51*pi = 160.221

7 0
3 years ago
What is the ratio of the area of the inner square to the area of the outer square?
Anastasy [175]

Answer:

\frac{(a-b)^2+b^2}{a^2}

Step-by-step explanation:

Since, By the given diagram,

The side of the inner square = Distance between the points (0,b) and (a-b,0)

=\sqrt{(a-b-0)^2+(0-b)^2}

=\sqrt{(a-b)^2+b^2}

Thus the area of the inner square = (side)²

=(\sqrt{(a-b)^2+b^2})^2

=(a-b)^2+b^2\text{ square cm}

Now, the side of the outer square = Distance between the points (0,0) and (a,0),

=\sqrt{(a-0)^2+0^2}

=\sqrt{a^2}=a

Thus, the area of the outer square = (side)²

=a^2\text{ square cm}

Hence, the ratio of the area of the inner square to the area of the outer square

=\frac{(a-b)^2+b^2}{a^2}

4 0
3 years ago
Read 2 more answers
If Jeremy is in the 90th percentile in the main office test scores is 180 with a standard deviation of 15 which of the following
Alika [10]
199. 

the z score for the 90th percentile is 1.28, so you can solve the equation

\frac{x-180}{15} = 1.28

which gets you the 199
4 0
3 years ago
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