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2 years ago

What is the volume of a 90' x 20' x 12' house?

Mathematics

2 answers:

inysia [295]2 years ago

6 0

Answer:

The volume of the house is 2.2 × 10⁴ ft³.

Step-by-step explanation:

The dimensions of a house are:

Side 1 (s₁): 90 ft

Side 2 (s₂): 20 ft

Side 3 (s₃): 12 ft

If we consider the house to be a cuboid, we can find its volume (V) using the following expression.

V = s₁ × s₂ × s₃

V = 90 ft × 20 ft × 12 ft

V = 2.2 × 10⁴ ft³

The volume of the house is 2.2 × 10⁴ ft³.

mafiozo [28]2 years ago

5 0

21,600 v^3 been a while so not sure wether you need the sq symbol afterword let me know

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A company contracts to paint 3 houses. Mr. Brown can paint a house in 6 days while Black would take 8 days and Blue 12 days. Aft

AleksAgata [21]

You can start with the equation of
(1/6)x8+(1/8)x6+(1/12)x X=3

Multiply by common denominator of 24 to get
32+18+2x=72

Simplify it we get
50+2x=72

Eliminate using algebra (because it’s add 50 take away the 50 on both sides)
2x=22

Because it’s X2 divide by 2 on both sides
x=11
It will take 11 days

6 0

1 year ago

Sarah received \$55$55dollar sign, 55 for her birthday. She used some of that money to buy 333 shirts priced at mmm dollars each

satela [25.4K]

Answer:

$(55-3m) is the amount of money she has left

Step-by-step explanation:

In this question, we are asked to give an expression to represent how much money was left after Sarah had bought some certain stuffs at some prices using the money she received at her birthday.

Firstly, we identify that the total amount of money she has to spend is $55.

Now let’s project her total spendings. She bought 3 shirts with each shirt costing $m.

The total amount spent on the shirts is thus; 3 * $m = $3m

The amount of money she has left is the difference.

Mathematically, this is equal to $55 - $3m

4 0

1 year ago

Read 2 more answers

Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6

lora16 [44]

Answer:

The answer is the option C

graph of $3x$ minus $3$ , with discontinuity at negative $2$ , negative $9$

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Simplify

$f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}$

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}$

Step 1

Convert to a factored form the numerator

$x^{2}+x-2=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}+x+0.25=2+0.25$

$x^{2}+x+0.25=2.25$

Rewrite as perfect squares

$(x+0.5)^{2}=2.25$

Square root both sides

$x+0.5=(+/-)1.5$

$x=-0.5(+/-)1.5$

$x=-0.5+1.5=1$

$x=-0.5-1.5=-2$

$x^{2}+x-2=(x-1)(x+2)$

Step 2

Simplify the function f(x)

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}$

The domain of the function f(x) is all real numbers except the number $x=-2$

Because the denominator can not be zero

$f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3$

$f(x)=3x-3$ ------> with a discontinuity at $x=-2$

$f(-2)=3(-2)-3=-9$

The discontinuity is at point $(-2,-9)$

the answer in the attached figure

8 0

2 years ago

Read 2 more answers

I need help with number 5 please

steposvetlana [31]

Answer: Would be 55% I hope this helps!

7 0

1 year ago

Read 2 more answers

Gavin wrote the equation p=3(s+100)/4 to represent p, the profit he makes from s sales in his lawn-mowing business. Which equati

Sindrei [870]

Given the equation p = 3(s + 100)/4

Where,
p = profit made
s = sales

Solving for s from the given equation

p = 3(s + 100)/4

Multiply both sides by 4
4p = 3(s + 100)
4p = 3s + 300

Subtract 300 from both sides of the equation
4p – 300 = 3s
Same as, 3s = 4p – 300

s = (4p – 300)/3
OR, s = 4p/3 – 100
If any of these two is in the options, it’s the right answer.

6 0

2 years ago