One more than the product of a number and seven, decreased by five; evaluate when n = 6

Does the following system of equations

BaLLatris [955]

Answer:

Iv'e checked both of them and they have NO solutions so nyour answer is (None)

Step-by-step explanation:

5 0

3 years ago

A circular roller derby drink has a diameter of 95 feet if a roller derby players skate five laps around the rink how has she tr

monitta

About 2983 ft as you find the circumfrence and mult by 5

7 0

3 years ago

) Kerry and Andy Zell are retired and after saving their entire life, they have $210,000 in a savings account paying 3% compound

vichka [17]

una perdida de 10 500 por eso

7 0

3 years ago

An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

The area of a rectangle $= (l)(w).$

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

The area of a trapezoid $=\frac{a+b}{2} (h).$

Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

The total area of the floor plan $=157.079+440+48 = 645.079$ square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet $= (645.079)(20)=12,901.58$ BTU's.

Rounding this off, we get 12,900 BTU's required to cool the room effectively.

7 0

3 years ago

Two pyramids are similar with a ratio of surface areas of 25:36. Find the volume of the larger pyramid given that the first has

ki77a [65]

Answer:

432m^3

Step-by-step explanation:

The computation of the volume of the larger pyramid is shown below:

Let us assume the volume of the larger pyramid be x

Given that

The ratio of two pyramids is 25:36

We can say that

The Ratio of side = (The ratio of surface area)^ $\frac{1}{2}$ = $\frac{5}{6}$

Now

ratio of volume = (ratio of side)^3 = $\frac{5^{3}}{6^{3}}$ = 125 : 216

Based on the above information, the calculation is as follows

$\frac{125}{216} = \frac{250}{x}$

So,

$x = \frac{250 \times 216}{125}$

= 432m^3

5 0

3 years ago