It is recommended that one fire extinguisher be available for every 4,520 square feet in a building. Write and solve an equation to determine x, the number of fire extinguishers needed for a building that has 88,140 square feet.

[tex]38 + 7x - 21 = 9x + 9[/tex]

Combine like terms.

[tex]17 + 7x = 9x + 9[/tex]

Eliminate a x.

[tex]17 = 2x + 9[/tex]

[tex]8 = 2x[/tex]

[tex]x = 4[/tex]

38 + 7x - 21 = 9x + 9

7x + 17 = 9x + 9

Subtract both sides 9

7x + 17 - 9 = 9x + 9 - 9

7x + 8 = 9x

Subtract sides 7x

7x - 7x + 8 = 9x - 7x

8 = 2x

Divide both sides by 2

8 ÷ 2 = 2x ÷ 2

x = 4

[tex] \binom{ 1/3}{-2/3} \binom{1/3}{-1/6} [/tex]

Answer:

C (s = 2b - 3)

Step-by-step explanation:

Sharon (s)

is (=)

Three years less (- 3)

Than twice her brothers age (2b)

Answer:

s = 2b - 3

Step-by-step explanation:

Sharon is 3 years younger than twice her younger brother's age.

Answer:

[tex] \frac{20}{24} = \frac{22}{x + 22} \\ 24 \times 22 = 20x + 20 \times 22 \\ 20x = 4 \times 22 \\ x = 88 \div 20 = 4.4[/tex]

Answer:

0.9727

Step-by-step explanation:

its higher number

Step-by-step explanation:

here is your answerrrrrrrrrrr

Answer:

1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

A is 1 micrometer = 1 × 10⁻⁶ m

B is 1× 10⁻³ size of A:

Answer:

x = [tex]\frac{in (8)}{in (36)}[/tex]  if you consider doing decimal form x = 0.58027921. . .

Step-by-step explanation:

Take logarithm of both sides of the equation to remove the variable from the exponent.

Answer: 44

EC is basically EF times 2

Answer: EC=44

Step-by-step explanation:

Answer:

62  square cm

Step-by-step explanation:

The whole rectangle    12X10 = 120

Now subtract 2 restangles:

5x8 =40

6x3 =18

30+18= 58

120-58 =62

Answer: 62

Step-by-step explanation:

All the angles equals 360°.

The best way to find x without guessing is to add everything and make an equation.

x°-46°+x°+x°-35°+1/2x°=360°

Add like terms.

3 1/2x°-81°=360°

3.5x°=441

x=441/3.5

x=126

Answer and Step-by-step explanation:

Definitions:

Obtuse - Angles that are greater than 90 degrees, but shorter than 180 degrees.

Acute - Angles that are less than 90 degrees but greater than 0 degrees.

Right - Angles that are exactly 90 degrees.

1. Obtuse

2. Right

3. Acute

4. Right

5. Obtuse

6. Acute

7. Obtuse

8. Acute

9. Right

#teamtrees #PAW (Plant And Water)

Answer:

4^5=x

x= 1045

Step-by-step explanation:

4 to the power of 5 is 1045:)

Answer:

The base of the log is the same as the base of the exponential form and in our case the base is 4. The value of the exponent is what the log is equal too and in our case it is 5. We already know the base is 4 and we want to raise it to the exponent of 5 so we get

x=45 *five on top*

x=1024

Step-by-step explanation:

Answer:

length = 10

Step-by-step explanation:

Volune =  L W H

H=40

W=8

L=X

40*8*X = 3200

320 X = 3200

X = 10

Volume :      40 x 8 x10 = 3200

any combination would work out. the most common is x and y. or you may use f(x) and x.

Answer:

The angle swept by the swing is 120 degrees

Step-by-step explanation:

Here, we are given the radius of the circle that makes the arc, and the length of the arc

Mathematically, we are to find the central angle

That would be;

The length of an arc is;

theta/360 * 2 * pi * r

theta is the central angle we are looking for and r in this case is 2.1 m

Thus, we have it that;

theta/360 * 2 * 22/7 * 2.1 = 4.4

theta = (360 * 4.4 * 7)/(2 * 22 * 2.1)

theta = 120 degrees

Answer:

a

Step-by-step explanation:

We in the same boat sis

Answer:

416 cm2

Step-by-step explanation:

The formula for surface area of prism.

2Ab+ Pb*h

2(1/2)(12)(8)+ 32*10

= 96+320

= 416 cm2

if my answer helps please mark as brainliest.

Step-by-step explanation:

hope it helps.

Answer:

x=±√9 or x= 3, x=-3

Step-by-step explanation:

The problem requires us to find the x.

So we must isolate the variable, as so-

[tex]5x^2-45=0\\5x^2=45[/tex] (add 45 to both sides)

Now we can divide both sides by -

[tex]5x^2=45\\x^2=9[/tex]

Now we must square root both sides to find the root of x.

[tex]\sqrt{x^2} =\sqrt{9}[/tex]

x=±√9

or x= 3, x=-3

Step-by-step explanation:

6/2(1+2)=6/2×3

=6/6

=1

The required answer for this question.

Answer:

The first blank is $640.30

The second blank is 670

Step-by-step explanation:

Answer:

c = 21 + k

Step-by-step explanation:

Alexandra paid $7dollar to park her car for 3hours at the parking garage. The garage charges a constant hourly parking rate. Write an equation that shows the relationship between p, the number of hours parked, and c, the cost in dollars.

Let the constant = k

The relationship is written as:

c = p×h + k

P = cost of parking

h = Number of hours parked

c = $7 × 3 + k

c = 21 + k

Answer:

c=7/3p

Step-by-step explanation:

i did the other persons answer and got it wrong, so i kept doing the hints on khan and it said that

Answer: put it in the calculator with the () and they will give it to you right like you need it

Step-by-step explanation: :)

Answer:

I help you

Step-by-step explanation:

I help you _GUTI_ discord

Answer:

Square root of 18

4.7

square root of 24

square root of 36

7

Step-by-step explanation:

r = 2

The volume of a cone can be found using the following equation

[tex]V = r^2\frac{h}{3} \pi[/tex]

After putting in the information that we already know we get

[tex]16\pi = r^2\frac{12}{3} \pi \\16\pi = r^2(4) \pi \\4 = r^2\\ r = 2\\[/tex]

For proof's sake, we can try the equation again with the information we know

[tex]V = r^2\frac{h}{3} \pi \\V = 2^2\frac{12}{3} \pi \\V =4(4) \pi \\V = 16\pi[/tex]