Explain why a negative solution must be eliminated as an extraneous solution when solving a rational equation for an unknown rate

Answer:

Step-by-step explanation:

x = -y + 10

Substitute into the second equation

-y + 10 = y + 4

-2y = -6

y = 3

Plug into first or second equation.

x = -3 + 10 = 7

x = 3 + 4 = 7

So the ordered pair is (7,3)

Answer:

it's 30/45

Step-by-step explanation:

because there are 12 green and 18 red which equal 30. Then there are 45 eggs in total. So 30/45

Probability of selecting a green or red egg is equals to [tex]\frac{30}{45}[/tex].

" Probability is defined as ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability [tex]= \frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Given,

Total number of dyed eggs [tex]= 45[/tex] dyed eggs

Number of yellow eggs [tex]= 15[/tex]

Number of green eggs [tex]= 12[/tex]

Number of red eggs [tex]= 18[/tex]

Substitute the value in the formula to get the probability of each required colour egg,

Probability of green egg [tex]P(G)= \frac{12}{45}[/tex]

Probability of red egg [tex]P(R)= \frac{18}{45}[/tex]

Both are independent therefore,

P( G ∩ R) [tex]=0[/tex]

Probability of selecting a green or red egg [tex]= P(G) + P(R)[/tex]

                                                                         [tex]= \frac{12}{45} + \frac{18}{45}\\\\= \frac{30}{45}[/tex]

Hence, probability of selecting a green or red egg is equals to [tex]\frac{30}{45}[/tex].

Learn more about probability here

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Answer:

Step-by-step explanation:

x=-3 and y=5

f(-3)=5

Answer:

[tex]\sqrt{41}[/tex] units

Step-by-step explanation:

To find the distance between two points, we can use the Pythagorean theorem by creating a right-angled triangle where sides a and b are the distances between the y-coordinates and x-coordinates of each point.

First let's find the distance between the x-coordinates:

(9,8): x-coordinate is 9, and (5,3): x-coordinate is 5.

9 - 5 = 4

The first side of our triangle is 4 units.

y-coordinates:

8 - 3 = 5

The second side of our triangle is 5 units.

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]4^{2} +5^{2} =c^{2} \\16 +25 =c^{2} \\41 = c^{2} \\\sqrt{41} =\sqrt{c^{2} } \\\sqrt{41} = c[/tex]

Squareroot 41 is fully simplified as 41 is a prime number.

I have attached a picture to help visualize the triangle.

Hope this helped!

Answer:

54 degrees

Step-by-step explanation:

Every side of a regular pentagon is same.

So we have an  isosceles triangle. The  correspond angle of y, must equal to y (degree) too.

Also, every inner angle of a regular pentagon is 360/5=72. So we can calculate angle y, by the equation y+y+72=180.

y=54

9514 1404 393

Answer:

  B. The triangles are congruent by AAS

Step-by-step explanation:

Side WY is part of both triangles and congruent to itself. It is not between the two marked angles, and is opposite the same angle. The appropriate choice is ...

  B. The triangles are congruent by AAS

Answer:

The answer is "(6,3)".

Step-by-step explanation:

In this question, the point is missing if the given point is (-6,-3) so, its solution can be defined as follows:

Throughout this question whenever we reverse the axis to the mirror at the point. The reflection of (-6,-3) is (6,3), which also is the correct value because it changes the coordinates, that's why (6,3) is the correct point.

Answer:

[tex]3x - 70 = 50 + x \\ 2x = 120 \\ x = 60[/tex]

so ..

X=60

and

3x-70=180-60=110

Step-by-step explanation:

Answer:

angle LKM = 110 degrees

Step-by-step explanation:

angle JKL = 180 - (3x-70) because they are supplementary angles

angle JKL + x + 50 = 180 degrees because the sum of all the interior angles of a triangle equals 180 degrees

substituting for angle JKL:

180 - (3x - 70) + x + 50 = 180

180 - 3x +70 + x + 50 = 180

simplify:

-2x = -120

x = 60 degrees

angle LKM = 3(60)-70 = 110 degrees

Answer:

A,B,D

Step-by-step explanation:

Difference between an equation and an expression: equation has an equal sign while an expression does not. (C is also an inequality)

Answer:

y-4=3(x+2)

Step-by-step explanation:

Plug into point slope equation with slope m and point (x1,y1)

y-y1=m(x-x1)

y-4=3(x+2)

Step-by-step explanation:

We need to solve the given fractions.

(1) [tex]18\times \dfrac{2}{12}=3[/tex]

(2)

[tex]2\dfrac{2}{3}\times 2\dfrac{1}{4}\\\\=\dfrac{8}{3}\times \dfrac{9}{4}\\\\=6[/tex]

(3) [tex]\dfrac{3}{5}\div 9[/tex]

We know that, [tex]\dfrac{x}{y}\div \dfrac{a}{b}=\dfrac{x}{y}\times \dfrac{b}{a}[/tex]

So,

[tex]\dfrac{3}{5}\div 9=\dfrac{3}{5}\times \dfrac{1}{9}\\\\=\dfrac{1}{15}[/tex]

Hence, this is the required solution.

We have a parallelogram and a half of circle.

[tex]A=\frac{\pi r^{2} }{2}[/tex]

Approaching π to 3,14

parallelogram:

b=26

h=13

A=13*26

A=338

Half circle:

r=12

A=(3,14*12²)/2

A=226,08

Answer:

It will be A

Step-by-step explanation:

M=140-100/5-3

m=40/2

m=20

Answer:

yay free brainlest

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

I think so but not sure.

Answer:

119

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 and 6

Answer:

x=8c

or

x=8

Step-by-step explanation:

Hope that helps :)

Answer:The answer is x =4

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, find yourself a map. Then, using two points, find both the distance on the map and the true distance. Next, you divide the true distance by the measured map distance, and find your scale. Last, you need to place that ratio onto your map.

Answer:

$123.75

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

I added all the things she bought and subtracted it by the total and got B. 123.75

Answer:

Step-by-step explanation:

(768-543)/d=1/10

225/d=1/10

d=10(225)

d=2250

Answer: the 100th term of the sequence =-273 (1)

Step-by-step explanation:

Since the first term = 222

and d  (common difference )=-5 Then we are talking about an arithmetic progression

The nth term of an Arithmetic progression is given as

Tn=a + (n - 1)d

Therefore given that n =100

Tn=a + (n - 1)d = 222 +(100-1)-5

222+ (99)-5

222-495=-273

Answer:

f=4x-148

62 degrees fahrenheit

Step-by-step explanation:

Chirps per minute=148

x=148

x=4f-148

100=4f-148

248=4f

62=f

If snowy tree crickets chirp at 100 chirps per minute, the temperature outside is 62 degrees fahrenheit.

Answer:

55 degrees

Step-by-step explanation:

Complementary angles are two angles that equal 90 degrees together so if one angle is 35 degrees then the other must be able to add towards that to make 90 degrees

90=35+∠2

-35     -35

55=∠2

Answer:

T = 0.7(220 – a)

Step-by-step explantion:

Hope it helped

Answer:

10

Step-by-step explanation:

by dojng lenght into breadth

Answer: A is multiplied by  2  B is multiplied by B and C is multiplied by 2

Step-by-step explanation: