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3 years ago

Hello! please help ASAP ‼️

Mathematics

1 answer:

nignag [31]3 years ago

5 0

Answer:

Yes, it is a solution

Step-by-step explanation:

(x,y) (1,-3)

a. Plug in x:

y= 1-4

y = -3 yes this is correct as -3 is on y.

b. Plug in X.

y=9(1)-12

y=9-12

y=-3 yes this is also correct as this also is -3 for y.

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Subtract fraction and simplify if needed

Harrizon [31]

First you need to find the common denominator. both 6 and 7 go in to 42 evenly

multiply 5/6 by 7 to get 35/42
multiply 2/7 by 6 to get 12/42
subtract 12 from 35 to get 23

23/42

6 0

3 years ago

The floor of the school art closet is be tiled. The closet shaped like a parallelogram. The parallelogram has a base of 16.5 fee

son4ous [18]

The area of the parallelogram is given by:
A = b * h
Where,
b: base
h: height
Substituting values we have:
A = (16.5) * (6)
A = 99 feet ^ 2
The number of packages will be:
N = 99/5
N = 19.8
Rounding:
N = 20
Answer:
It will be needed 20 packages of tile to tile the music room floor

3 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

3 years ago

Someone please help me with this question

yan [13]

14 trout out of 50 total fish. The total amount of fish in the lake is 7500. Let’s make this into a proportion.

14/50=x/7500

x represents how much trout is in the lake, we don’t know yet, but we’ll find out.

First, cross multiply.

14*7500=105000
50*x=50x

Now let’s turn this into an equation.

50x=105000
Divide both sides by 50
50x/50=x
105000/50=2100

x=2100
Out of the 7500 fish in the lake, 2100 were trouts.

7 0

3 years ago

Joan had a difference of opinion with her boss and hence quit her job

Aleks [24]

Answer:

That sucks.

Step-by-step explanation:

7 0

2 years ago