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3 years ago

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The height of each story of an apartment building is measured from the bottom of one floor to the next floor.

1 answer:

eduard3 years ago

3 0

If each story is 18 feet and there are 30 stories.. the building is 550 feet tall

you would do:
$18 \times 30 = 550$

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X+y=5 <br> 3x-4y=8 <br> please i need the steps

grandymaker [24]

Answer:

x + y = 5

<u>3x - 4y = 8</u><u> </u><u> </u><u> </u>

3x + 3y = 15

<u>3x - 4y = 8 </u>-

7y = 7

y = 1

x + y = 5

x + 1 = 5

x = 4

x = 4

y = 1

Hope it helps!

6 0

2 years ago

Solve for the value of z: 90/15 = 6/z

lara31 [8.8K]

Answer:

z = 1

Step-by-step explanation:

90/15 = 6/z

Cross Multiply

15 * 6 = 90 * z

90 = 90z

Divide both sides of the equation by 90

z = 1

Hope this was useful to you!

3 0

2 years ago

Can anyone help me with this question

faust18 [17]

Answer:

Step-by-step explanation:

Like your other question, let's break it down systematically

6x + 9y - 9(6x - 3y + 8z)

Use the distributive property

6x + 9y - <u>9(6x - 3y + 8z)</u>

6x + 9y - 54x - 27y + 72z

Match like terms

6x - 54x = -48x

9y - 27y = -18y

72z - 48x - 18y

6 0

3 years ago

2x=10y+14, 6x-2y=2x+28 how do I solve this problem using algebraic method?

yuradex [85]

PEMDAS- Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction.

4 0

3 years ago

Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

2 years ago