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pantera1 [17]
3 years ago
5

Please help me on this

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0
A. 45/100 reduced = 9/20
(divided 45 and 100 by 5 to get 9 and 20)

B. she has finished 27 problems, which is 45% of her homework. In other words
45% of the total problems = 27 
if we use X to represent the total amount of problems, then: 
45% X = 27
we solved in part A for 45%, which is 9/20, so then:
9/20 x = 27 
now all that's left is to solve for x
first multiply both sides by 20
9x = 540
now divide both sides by 9
x = 60
the total amount of problems, or the number of problems she was assigned is 60 problems. 

C. If the total amount of problems she had to do was 60, and she has already done 27, then 
60 - 27 = the amount of problems she has left
33 = the amount of problems she has left

she has 33 problems left to do. 
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Is this statement always, sometimes, or never true.
cestrela7 [59]

Answer:

Never true

Step-by-step explanation:

Linear angles are adjacent angles whose sum is 180

3 0
3 years ago
Thomas is 4 years older than his brother william. in five years the sum of their age will be 24. how old is each boy?
Rasek [7]
Let William be x years old.

Thomas = (4 + x) years

In five years,

William = (x + 5) years

Thomas = 4 + x + 5 = (9 + x) years

Given, in five years sum of their ages is 24.

x + 5 + 9 + x = 24

2x + 14 = 24

2x = 24 - 14 

2x = 10

x = \frac{10}{2}

x = 5

Hence, William is 5 years old and Thomas is 9 years old.
5 0
4 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
Solve the equation for j=
timurjin [86]
The answer for " J " would be 228
6 0
4 years ago
Split the middle term: 72 + b - b^2​
Brrunno [24]

Answer: 9b - 8b

Step-by-step explanation:

ou need two factors that you will multiply together to give you -72b^2 and at the same time when you add this two factors it will give you + b . Check; 9b X -8b = -72b^2 and 9b + (-8b) = b , that is why 9b and -8b are the factors and they will replace the middle value

6 0
3 years ago
Read 2 more answers
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