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4 years ago

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Which algebraic expression represents the phrase “the quotient of negative eight and the sum of a number and three”?

1 answer:

Viefleur [7K]4 years ago

5 0

This equation in algebraic expression is -8/n+3.

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14 over 15 rounded to the nearest tenth

NARA [144]

Answer:

0.9

Step-by-step explanation:

14/15 = 0.933333333 <u>IF:</u>

<u></u>

<u>1.</u><em> You first change it into a decimal by dividing the numerator by the denominator.</em>

<em> </em>14 ÷ 15

<u>2.</u> <em>You will get a recurring decimal.</em>

<em> </em>0.933333333

<u>3.</u><em> The first digit after the decimal is in the position of the '</em><u><em>tenths'</em></u>

0.<u>9</u>

<u>4.</u><em> You should use only two digits after the decimal to calculate </em>

<em> 0.93</em>

<u>5.</u><em> Since the number 3 is less than five, it will change into a zero and get eliminated.</em>

<em> ∴ The answer will be = 0.9</em>

5 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

8 + 5x -3 -x<br> Please can someone tell me the answer for this?

NNADVOKAT [17]

Answer:

the answer is 5+4× and ur welcome

5 0

3 years ago

Read 2 more answers

stan, a local delivery driver is paid $3.50 per mile driven plus a daily amount of $75. on monday he is assigned a route that is

Kisachek [45]

Just do an equation. 3.5(30)+75=180

7 0

3 years ago

Read 2 more answers

A wheelchair ramp is in the shape of a triangular prism. it has a base area of 37.4 square yards and a height of 5 yards. find t

mina [271]

It's not the volume of the ramp, it's the angle.

anyways here's how to use trig to find the answer:

Tan <A= opposite/ adjacent
Tan <A= 5.0/ 37.4

<A= tan-1 (5.0/ 37.4)

<A= 7.61 degrees.

7 0

3 years ago