Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence. (Remember to clearly show your work on your work page.)

Answer:2 < x < 5

Step-by-step explanation:

I should look like this but with lines under the less than symbol

The domain of the graphed function is x ∈ (2,5), which is defined in the interval 2 < x < 5.

If the parent function is y = x² and it is defined in the x-coordinate interval 2 < x < 5, the domain of the graphed function would be the same interval, namely 2 < x < 5.

The domain of a function represents the set of all possible input values (x-values) for which the function is defined.

Here, since the parent function y = x² is defined for all real numbers, the domain of the graphed function will also be all real numbers within the specified interval, which is 2 < x < 5.

Thus, the domain of the graphed function is x ∈ (2,5).

Learn more about the domain and the range here:

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The expression for S, expressed in terms of t, which represents the amount of snow on Audrey's lawn, is as follows:

S = 0 - 2t

When the storm first began, there were 10 inches of snow in Audrey's yard. This can be shown as a constant value.

2 inches of snow melt each hour when it first starts to melt. We deduct 2t from the initial depth of snow since it gets shallower with time. Here, t denotes the number of hours that have passed since the snow ceased falling.

Determine the depth of the snow on Audrey's lawn at various times by changing the value of t in the equation.

For example, if we substitute t = 1 into the equation,

S = 10 - 2(1) = 10 - 2 = 8

This indicates that 8 inches of snow would be present in Audrey's yard once the snow stopped falling in one hour. To get the depth at various times, you may similarly insert different values for t.

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Final Answer: [tex]y = \frac{1}{3}x + 4[/tex]

Steps/Reasons/Explanation:

There are two methods of solving this problem. Slope-intercept form and Point-slope form. I will be using the Slope-intercept form to solve this problem.

Step 1: Substitute slope from the original line ([tex]\frac{1}{3}[/tex] in this case) into the slope-intercept equation.

[tex]y = \frac{1}{3}x + b[/tex]

Step 2: Substitute the given point [tex](-3, 3)[/tex] into the x and y values.

[tex]y = \frac{1}{3}x + b[/tex]

[tex]3 = \frac{1}{3}(-3) + b[/tex]

Step 3: Solve for b (the y-intercept).

[tex]3 = \frac{1}{3}(-3) + b[/tex]

[tex]3 = -1 + b[/tex]

[tex]+1[/tex] = [tex]+1[/tex] [tex]+[/tex] [tex]b[/tex]

[tex]4 = b[/tex]

Step 4: Substitute this value for b in the slope-intercept form equation.

[tex]y = \frac{1}{3}x + 4[/tex]

~I hope I helped you :)~

Answer:

y = 1/3x + 5

Step-by-step explanation:

(-3, 3)

x  ,  y

x1 = -3

y1 = 3

The formula we will use is y - y1 = m ( x - x1)

We will now replace y1 and x1 with the coordinate points (-3, 3).

We will keep x1 = -3, and y1 = 3.

then you will plug in the numbers giving you an equation like:

y - (3) = 1/3 (x -(-3))

y - 3 = 1/3 (x + 3)

y - 3 = 1/3x +1

  + 3          + 3

y = 1/3x + 4

I am 100% sure I am correct.

If you want free answers to your questions you can use math

way, which is  a free website

It gives you FREE answers to math problems and they are always reliable.

I always use it to check my answers as I did with this problem too you may go there to check my answer if you would like just type in y = 1/3x + 5 , (-3, 3)

then when options pop up select parallel, because you want to solve for a parallel line.

I hope I helped you a lot and my answer is correct.

Please mark me as brainliest and have a good day!

Answer:

=33/40

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

118÷53

Applying the fractions formula for division,

=11×38×5

=33/40

=33/40

Answer:

21 points

Step-by-step explanation:

The difference in points between the two teams is 15-(-6) = 21 points.

Hope this helped!

Answer:

no because -2 has two outputs

Answer:

Step-by-step explanation:

Answer:

The quotient is  3 and [tex]\frac{3}{4}[/tex].

Step-by-step explanation:

To find the quotient of the division (which is just the solution, really), we have to solve the division itself:

[tex]\frac{\frac{3}{4}}{\frac{1}{5}}[/tex]

[tex]= \frac{3 \cdot 5}{1 \cdot 4}[/tex]

[tex]= \frac{15}{4}[/tex]

Now that we know the quotient, we can look at the question itself to find it requires from us an answer with a whole number in it.

Therefore, we transform the fraction as thus:

[tex]\frac{15}{4}[/tex]

[tex]= 3 \frac{3}{4}[/tex]

Therefore, the final answer is 3 and [tex]\frac{3}{4}[/tex].

Hope this helped!

Answer:

b=56

Step-by-step explanation:

Try

Answer:

thanks

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

I just used rise/run

Answer:

16+13+12=41

Step-by-step explanation:

it is acute

Answer:

Your answer is 33.

Step-by-step explanation:

7 1/2+7 1/2=15

9 1/4+ 8 3/4=18

18+15=33

The fractions have to have like denominators in order to add

Hope this helps

Answer: 775

Step-by-step explanation: $15 for each guest (so you need to multiply 15 by 45) then add the $100 setup fee!

Answer:

well if the x is an multiplication then your answer would be False

Step-by-step explanation:

5*2+25=0

35=0

False

Answer:

hlo buddy

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 πr³.

Answer:

[tex]\frac{1}{2}[/tex]h

Step-by-step explanation:

Let the total batch of cookies be x.

[tex]\frac{3}{5}[/tex]x = [tex]\frac{3}{10}[/tex]h

[tex]\frac{5}{5}[/tex]x = [tex]\frac{5}{3}[/tex] × [tex]\frac{3}{10}[/tex]h

x = [tex]\frac{15}{30}[/tex]h

x = [tex]\frac{1}{2}[/tex]h

Answer:

Should be 9 in.

Answer:

i think its 8.7  miles but i might be wrong please correct me if i am

Step-by-step explanation:

Well main street is 5.6 and there is a gab in between main street and highway 1 and its a big gab but not that big it is asking what the length and they are asking what the distance from highway 1 to main street is and that may not seem so far way but its asking from the begining of highway one. I THINK THAT IS CORRECT BUT I'M NOT VERY SURE  

Answer:

It takes aditi 5 hours to walk 17 miles.

Step-by-step explanation:

First, find her speed in miles per hour.

1.7 miles in half an hour.

1.7 * 2 = 3.4

3.4 miles per hour.

To find the time, use the distance formula.

Distance = rate * time

17 = 3.4 * time

17/3.4 = time

5 = time

Answer:

100 boys at the concert

Step-by-step explanation:

When changing the ratio between the number of boys to the number of girls, it always has to be equivalent to the original ratio 2:7

So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:

  2   :   7

×50   ×50

To get:

100:350  ⇒  This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.

So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.

Answer: 100 boys at the concert

I hope you understand and that this helps with your question! :)

Answer: C Because Radians Are Rotations 1 Radian is 360 Degrees

Step-by-step explanation:

Answer:

-10n

Step-by-step explanation:

-6n-4n=-10

Answer:6y+11

Step-by-step explanation:

Answer:I really don’t know lol

Answer:

The answer is 0.71

Step-by-step explanation:

I divided it

Answer:

Y=-5/3x-1

y=2/3x-8

If you are adding then it is:

7x=21

x=3

Step-by-step explanation:

5x+3y=-3

3y=-5x-3

y=-5/3-1

2x-3y=24

-3y=-2x+24

y=2/3x-8

Answer:

If you add the two equations, you get

-5x = -10

Step-by-step explanation:

it might be wrong

Answer:

17

Step-by-step explanation:

(8×8) + (15×15) = 289

square root of 289 is 17

Answer:

(1,-2) They are only asking for one inequality which is like (-3,0) which is the other point.

Step-by-step explanation: