Complete the two column proof.

Answer:

5 months

Step-by-step explanation:

Make the question into an equation where the cost of one gym equal to the cost for the other.

60x = 100 + 40x

x represents how many months

20x = 100

x = 5

It would take 5 months of membership for the costs to be the same.

The answer is 5 months.

The linear equation is made using the constraints given in the question, examining whether the data is added, subtracted, divided, or multiplied.

To solve the linear equation we group the variable on the LHS and then equate it with the constant and this is done by transposing, or using an arithmetic operator on both sides.

Let the number of months taken be 'x'

SO the community fitness takes 60x money for x months

The fitness center where she works takes an amount of 100+40x for x months as registration fees are only charged once.

so equating the equation to find the value of x.

100+40x = 60x

Transposing 40x from LHS to RHS

100=60x-40x

20x = 100

Dividing the equation by 20 on both sides

x = 5

The membership costs will equal in 5 months.

Learn more about Linear equations here

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Answer:

the shape has 2 lines of symmetry

Answer: 7 = 2/3 + (-24/6)

Answer:

21.3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A. x=35

B. C= 59 degrees

Step-by-step explanation:

Since both angles have the same measurement you set them equal to each other as so & solve for x

3x+16=5x-54

16=2x-54

70=2x

x=35

Now we plug 35 into one of the equations

3(35) + 16

105+ 16 = 121 degrees

Since angle C is a supplementary angles you do 180-121= 59 degrees

Step-by-step explanation:

1 Adult = $41

2 children = $35 × 2 = $70

1 senior citizen = $ 39

Total = $41 + $70 + $39

=$150

Answer:

The whole numbers = positive integers + 0

{11,12,13,14}

Answer:

125 degrees

Step-by-step explanation:

B lost 2x but gained 40

40/2 = 20

logic!

Answer:

-3

because f(x)= y then y =3

therefore if we find point 3 on y axis and then see which point is on the horizontal line of 3 which is -3

hope this helps you.

Answer:

great

Step-by-step explanation:

Answer:

0.75 words :1 second

Step-by-step explanation:

You use the rule of three

45words/60 seconds = ?words/1 second

?= 45x1÷60

?=45÷60

?= 0.75 words/ second

Answer:

1. 21 x 14 = 21 x 14 = 294

Step-by-step explanation:

Use a calculator

Answer:

1.21 x 14 = 4.84

What do you need in the blanks?

If you are looking for multiplications which equal 4.84 too, these are some:

Step-by-step explanation:

Answer:

4 feet

Step-by-step explanation:

Because if she used 1 feet of ribbon for 3 bows you need to multiply by 4 to 1 foot and you will get 12 bows

Answer:

4 feet of ribbon

Step-by-step explanation:

Because she uses 1 feet of ribbon for each 3 bows, we can create a fraction.

1 ft / 3 bows = x ft / 12 bows

Cross multiplying, we get: 3x = 12

Divide by 3 and we get x = 4 (x in this case is in feet)

Answer:

..............

...............

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

wow free points thanks

Answer:

Hi friend! The answer is D. 10

I hope this helps!

Answer:

B) 10

Step-by-step explanation:

Assign variables to each person:

A=Alina's Age

M=Amy's Age

G=Greg's Age

Set up a system of equations given the information:

A=6+G

M=2.5A

M=40

Notice that M is already given, so we can plug that into the second equation:

40=2.5A

16=A

So Alina is 16 years old, but the problem asks for Greg's age, so we plug Alina's age in the first equation:

16=6+G

10=G

So Greg is 10 years old, therefore B is the correct answer.

Answer: D

Step-by-step explanation:

y = x + 6 is a straight increasing line that intercepts the y axis at 6. x <= 1 indicated the closed circle and the left of that graph.

y = x^2 + 3 is an upward facing parabola where the minimum is 3. The x > 1 indicates the open circle and the right of that graph.

D shows the correct functions graphed

[tex]a {y}^{2} + by + c = 0 [/tex]

[tex]3 {y}^{2} + 8y + 2 = 0 [/tex]

[tex]a = 3[/tex]

[tex]b = 8[/tex]

[tex]c = 2[/tex]

_________________________________

[tex]∆ = {b}^{2} - 4ac [/tex]

[tex]∆ = ({8})^{2} - 4 \times (3) \times (2) [/tex]

[tex]∆ = 64 - 24[/tex]

[tex]∆ = 40[/tex]

_________________________________

[tex]y = \frac{ -b ± \sqrt{∆} }{2a} \\ [/tex]

##############################

[tex]y(1) = \frac{ - 8 + \sqrt{40} }{6} \\ [/tex]

[tex]y(1) = \frac{ - 8 + \sqrt{4 \times 10} }{6} \\ [/tex]

[tex]y(1) = \frac{ - 8 + 2 \sqrt{10} }{6} \\ [/tex]

[tex]y(1) = \frac{2( - 4 + \sqrt{10}) }{2 \times 3} \\ [/tex]

[tex]y(1) = \frac{ - 4 + \sqrt{10} }{3} \\ [/tex]

+++++++++++++++++++++++++++++++++++++++

[tex]y(2) = \frac{ - 8 - \sqrt{40} }{6} \\ [/tex]

[tex]y(2) = \frac{ - 8 - \sqrt{4 \times 10} }{6} \\ [/tex]

[tex]y(2) = \frac{ - 8 - 2 \sqrt{10} }{6} \\ [/tex]

[tex]y(2) = \frac{2( - 4 - \sqrt{10}) }{2 \times 3} \\ [/tex]

[tex]y(2) = \frac{ - 4 - \sqrt{10} }{3} \\ [/tex]

##############################

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Given:

The relation is

[tex]M = \{ (15k+9, 4), (3\cdot (4k-1), 6) \}[/tex]

To find:

The value of k for which the relation is not a function.

Solution:

A relation is a function if their exist a unique output or y value for each input or x values.

A relation is not a function if it has two y-values for single x value.

So, the given relation is not a function if x-coordinates of both ordered pairs are equal.

[tex]15k+9=3\cdot (4k-1)[/tex]

[tex]15k+9=12k-3[/tex]

Isolate variable terms.

[tex]15k-12k=-9-3[/tex]

[tex]3k=-12[/tex]

Divide both sides by 3.

[tex]k=-4[/tex]

Therefore, the given relation is not a function for k=-4.

• Answer:

99

• Step-by-step explanation:

Hi there !

use formula a² - b² = (a-b)(a+b)

18² - 15² =

= (18 - 15)(18 + 15)

= 3×33

= 99

Good luck !

Answer:

y=8.35

Step-by-step explanation:

if substituted for y

8.35/2.7 is 3.0925

which IS less than or equal to 3.5

Answer: B

Step-by-step explanation: when you put a + and - together you get a -, so the equation turn into -40-15 which equals -55, so the answe is B

Question: After watching some fish 40 feet below the surface of the water, a scuba diver went up 15 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water surface.

Answer:

C. -40+15 = -25

Step-by-step explanation:

The diver went down 40 feet underneath the surface, so that would be -40. When the diver went up 15 feet, that would be adding -40 to 15. So, the diver would be going closer to the surface after coming up 15 feet. -40+15 = -25

I really hope this helps!!! Have an amazing day :3

Answer:

x=5

Step-by-step explanation:

4x-3 = 2x+7.​

Subtract 2x from each side

4x-2x-3 = 2x-2x+7.​

2x-3 = 7

Add 3 to each side

2x-3+3 = 7+3

2x= 10

Divide by 2

2x/2 = 10/2

x = 5

Answer:

x=5

Step-by-step explanation:

4x -3 = 2x +7

Let's start by getting the 2x away from the seven. Subtract the 2x from itself and from 4x. We will subtract 2 because a negative will cancel out the positive.

2x -3 = +7

Now let's get the -3 away from 2x. Add 3 to the -3 and the +7. We will add because a positive will cancel out the negative.

2x = +10

Then divide +10 by 2 to get the final answer.

Answer:

Boys x 2 = Girls

Step-by-step explanation:

If there are twice as many girls in school as boys than take the number of boys and multiply that by 2. For example if there are 400 boys in school and there are twice as many girs your equation would, 400 x 2 = 800 girls.

Answer:

3.348 × 10^2 US

3.6166 × 10^2 CA

Step-by-step explanation:

3.1 x 108= 3.348 × 10^2 US

3.38 x 107= 3.6166 × 10^2 CA

Answer:

98275

Step-by-step explanation:

5=6

Answer:

(2x-3)(x+3)

Step-by-step explanation:

The factors of the expression are (2x-3) and (x+3).

Answer:

a. x = -4

c. x = 9

Step-by-step explanation:

Values of g(x), output values, are plotted on the y-axis, while the corresponding x values, input, of the function are plotted on the x-axis.

We are to determine all possible input values (x-values) that will give us an output value, g(x) = 8.

On the graph, look at the point where y = 8, on the y-axis. When y = 8, we have two possible values of x. They are -4, and 9.

Thus:

g(-4) = 8

g(9) = 8.

The possible input values for which g(x) = 8, are x = -4, and x = 9.

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

3x3(2+3) =

3x3(2+3) =3x 3(5) = 3x15 =

45

45x4 = 180