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Zielflug [23.3K]
2 years ago
11

Set up equation and solve for x! 25x = 24X+4

Mathematics
1 answer:
pychu [463]2 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

the 2 given angles are corresponding angles and are congruent , then

25x = 24x + 4 ( subtract 24x from both sides )

x = 4

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A pillow that usually costs $20 is marked down 45%. Table Use the table to find the new price of the pillow. $9 $11 $29 $33
sattari [20]
It would now cost $11. 45% of 20 is 9, therefore, you would subtract 9 from 20 (since it is getting marked down). 
6 0
3 years ago
Read 2 more answers
Victor drew trapezoid PQRS on a coordinate plane p(7,4) q(10,4) r(13,-1) s(8,-1) what is length in units of side ps
olga nikolaevna [1]

Answer:

PS=\sqrt{26}units

Step-by-step explanation:

Given : PQRS is a trapezoid on a coordinate plane P(7,4) Q(10,4) R(13,-1) S(8,-1).

To find:: Length of the side PS

Solution : Using the distance formula, we can find the length of the side PS, therefore

PS=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}

PS=\sqrt{(-1-4)^{2}+(8-7)^2 }

PS=\sqrt{(-5)^2+(1)^2}

PS=\sqrt{25+1}

PS=\sqrt{26}units

which is the required length of the side PS.

5 0
3 years ago
Find f(-2) for the function f(x)=5x+14
Stels [109]

Answer:

f(-2)=(-11)

Step-by-step explanation:

f(-2)=5(-5)+14

=(-25)+14

=(-11)

6 0
3 years ago
The length f a rectangle is 3 ties its width, the perimeter of it is 24cm. what is the area of it?
andreyandreev [35.5K]

Answer: 27cm²

Step-by-step explanation:

lets take the width as x and length as 3x( since length is 3 times the width)…

Perimeter of the rectangle is 24 cm( 2*(l+b))= 2×(3x+x):24

2×4x=24

8x=24

X( width): 24/8=3cm

Length= 3x: 3*3=9cm

Area of the rectangle: ( l*w)= 9×3: 27cm²

7 0
3 years ago
Read 2 more answers
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
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