Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the y-intercept.
State the meaning of the y-intercept in the terms of this problem

Answers

Answer 1

Answer: Joe has initial amount of $12 ( when he played no game).

Step-by-step explanation:

Given: Joe took $12 to the arcade. Each game cost $.50 to play.

This situation can be modeled with the equation [tex]y =-0.50 x+ 12.[/tex]

Here,

Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.

Since y-intercept gives the initial value of the function when x=0.

To find y-intercept , we out x=0 in funtion , we get

[tex]y=-0.50(0)+12=12[/tex]

So , y-intercept of this function is at y=12.

Meaning of the y-intercept in the terms of this problem :

Joe has initial amount of $12 ( when he played no game).

Answer 2

Answer:

y-intercept is 12 and y-intercept shows the fixed cost of arcade, i.e., $12.

Step-by-step explanation:

Note : The given equation is not correct.

It is given that Joe took $12 to the arcade and each game cost $0.50 to play.

This situation can be modeled with the equation

[tex]y=0.50x+12[/tex]

where, y is total cost of playing x games.

We need to find y-intercept.

Substitute x=0 in the above equation to find the y-intercept of the equation.

[tex]y=0.50(0)+12[/tex]

[tex]y=0+12[/tex]

[tex]y=12[/tex]

So, the y-intercept is 12.

Here y-intercept represents the total cost if the number of games is zero.

It means y-intercept shows the fixed cost of arcade, i.e., 12.


Related Questions

Find the value of x.

Answers

Answer:

x=root 70

Step-by-step explanation:

We have three triangles in this picture. The big triangle and 2 small triangles. They are all similar triangles.

Thus, because they are similar we have (7+3)/x=x/7

That gives us 10/x=x/7.

Cross products gives us x^2=70, so x=root 70

This mapping represents a function named f .

Which of the chices also represents the function, f?​

Answers

Answer:

Last option (the drawn)

Step-by-step explanation:

The following points correspond to f:

(3, -2), (9, 2)

The slope of the line (m) is:

m = (2 - (-2))/(9 - 3) = 4/6 = 2/3

Therefore, the first option is incorrect (its slope is 3/2).

To find the y-intercept (b) of the line, we replace a known point and the slope into the general equation:

y = mx + b

2 = 2/3(9) + b

b = 2 - 6

b = -4

Therefore, the third option is incorrect (it add 4 instead of subtracting 4).

Replacing x = 6 into the equation we get:

y = 2/3(6) - 4

y = 0

then, point (6, 0) belongs to the line. Therefore, the second option is incorrect (it has the point (6, 1) instead); and the fourth option is correct (it is a line that includes points (0, -4) and (6, 0)).

Answer: the 4th answer is correct

approximate the value of √5 to the nearest hundredth

Answers

Answer:

2.24

Step-by-step explanation:

[tex]\sqrt{5}[/tex] = 2.236067977...

Rounded to the nearest hundredth = 2.24

Answer: 2.24

Step-by-step explanation:

Use a calculator of some sort and find the square root of 5. Round to two decimal places after the whole number.

The slope of the fuction on the left is multiplied by p, and q is added to the y intercept to arrive at the function on the right. Which of the following are the values for p and q?

A. p=1/4 and q=3

B.p=1/4 and q=5

C.p=1/4 and q=4

D.p=4 and q=4​

Answers

Answer:

C. 1/4 and q=4.

Step-by-step explanation:

I just got it correct on my test.

p=1/4 and q=4 which is correct option(c)

What is slope of line?

Slope of line is defined as the angle of line.

Let us get the equation of the two graphs

General equation form is;

y = mx + b

m is slope and b is the y-intercept

For the first one;

y intercept is -3

So the equation is;

y = mx -3

The x-intercept is 3/4

the value of y at the x-intercept is 0

0 = 3/4m -3

3/4m =3

m = 4

so, 4 × p

4p

q added to y-intercept;

q -3

Let us get the equation of the second plot

y-intercept is 1

Equation is;

y = mx +1

We can get slope using x-intercept

x-intercept is -1

0 = -1m +1

m = 1

So;

4p = 1

p = 1/4

For the value of q;

q -3 = 1

q = 1+3 = 4

Hence, p=1/4 and q=4

Learn more about Slope of Line here:

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Q= 3t^2 - 5th Make h the subject of the formula ​

Answers

Answer:

3t² - Q / 5t

Step-by-step explanation:

Q = 3t² - 5th        collect like terms (separate 5th from the rest of the equation)

5th = 3t² - Q                                                                      (divide both sides by 5t)

h = 3t² - Q / 5t

If this helped please mark me as brainliest

Which of the following is equivalent to 10000 lb?

Answers

Answer:

5 Tons

Step-by-step explanation:

Or 7,858.35 Pound sterling In Money Standards

Marci hiked 15 miles from Park Headquarters to Blue Lake in 5 hours. What was her average speed?

Answers

Answer:

3 miles per hour

Step-by-step explanation:

The formula for average speed is: [tex]R = \frac{D_{total} }{T_{total} }[/tex] R being rate, D being distance, T being time. We substitute the values to get [tex]R = \frac{15}{5}[/tex] Simplified 3. Her average speed was 3 miles per hour. Hope this helps!

Answer:

3 miles per hour.

Step-by-step explanation:

15 divided by 5 is 3

each hour he would have covered 3 miles of distance.

There are 68 apples in the school kitchen. The school needs 130 apples for all the students in grade 2. The school gets two boxes of apples. Each box has three dozen apples inside. Does the school have enough apples for all the students in grade 2 ?

Answers

Answer:

Yes.

Step-by-step explanation:

Apples needed             =130

apples in the kitchen    =68

130-68= 62 to complete for all the students

1 (3 dozens x 12) = 36 apples x 2= 72

68 +72=140 apples available for all the students

Answer:

Yes

Step-by-step explanation:

The reason for this is because 1 dozen is 12. And the schools bought 6 dozens of apples. If you multiply 36 by 2 you get 72. Then if you add 72+68 you get 140 apples, but the school only needed 130 apples. So yes the school has enough apples for grade 2.

Hope it helps

50 POINTS!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!

The diagram shows a cuboid.
The height of the cuboid is 6cm.
The volume is 90cm3

What is the area of the shaded face?

Answers

Answer:

The area of the face is 15 cm^2

Step-by-step explanation:

The formula for volume is

V = Bh  where B is the area of the base and h is the height

90 = B * 6

Divide each side by 6

90/6 = 6B/6

15 = B

The area of the face is 15 cm^2

Answer:

15cm^2

Step-by-step explanation:

width will be 6cm since its side face is square.

V=lwh

90cm^3=l*6cm*6cm

90cm^3=36cm^2*l

l=90cm^3/36cm^2

l=2.5cm

so the area of the shaded face will be..

A=l×W

A=2.5cm*6cm

A=15cm^2

Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy. He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle. After two weeks he measured the circumference of each balloon in centimeters; the bigger the balloon grew, the more energy that was produced. The results of the experiment are displayed in the box plots below.

Which description most accurately summarizes the sample results?

Answers

Answer:

For his balloon to grow bigger, more manure is needed to enhance more growth energy

The mean of cow manure with mashed bananas is always more than the mean of only cow manure in any country.

Then the correct option is B.

What is Mean?

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy.

He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle.

After two weeks he measured the circumference of each ballon in centimeters; the bigger the balloon grew, the more energy that was produced.

The mean of cow manure will be

Mean = 10+11 +13 +13 + 14 +15 + 15 + 15 + 18 + 18 + 19 + 20 +22+25+26/15

          = 254/15

          = 16.93

The mean of cow manure with mashed banana will be

Mean = 22+22+26+29+30+31+36+36+38+39+43+46+46+49+50/15

         = 543/15

         = 36.2

Thus, The mean of cow manure with mashed bananas is more than the mean of only cow manure.

Learn more about the mean link is given below.

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у – бх — 11
— 2x — Зу = -7

Answers

Answer: -2y -8x = 4

Step-by-step explanation:

y - 6x - 11 - 2x - 3y = -7

y -3y -6x -2x = -7 +11

-2y -8x = 4

simplify 17+(-4)-(-16)-2

Answers

Answer:

17 - 4 + 16 - 2

13 + 14

27

Hope it helps!! Good luck on your assignment!! :)

Step-by-step explanation:

You have been given the equation: 17+(-4)-(-16)-2. Remember we can always use tricks to find the equation. Plus times Minus is Minus. Minus times Minus is plus. And Plus times Plus is Minus. I would appreciate if you mark me as brainliest!! :)

______________________________

Hey!!!

Solution

17+(-4)-(-16)-2

= 17-4+16-2

=17+16-4-2

=33-6

=27

Hope it helps

Good luck on your assignment

_____________________________

Pls it’s urgent my homework is due tomorrow PLS HELP

Answers

Answer:

i) x= -0.25, x=1.25

ii)x=1.5, x= -0.5     (notice the negative signs)

Step-by-step explanation:

So, to simply solve this(or estimate), notice what the equations say at the end of them!

0 and 2, and also notice the equations are exactly the same as the graph's.

This means, by substitution, we are look for the x-values at y=0, and at y=2

(because they are exactly the same, in those instances, we can just replace the equation with the value of 0, or 2 because they are equal)

Then all we have to do is imagine the lines of y=0(x-axis) and y=2, and find where the parabola intersects those lines.

And so, just find where they intersect, and you have got it!

Hope this helps!

Please Help!!!! Braniest will be given!!!!
Find the slope of the line through the given points.
(-3,6) and (1,2)

Answers

Answer:

m= -1

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-6}{1-[-3]}\\\\=\frac{-4}{1+3}\\\\=\frac{-4}{4}\\\\=-1[/tex]

The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *
1 point



9 sides



10 sides



11 sides



12 sides

Answers

Answer:

12 sides

Step-by-step explanation:

To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;

first write down the formula for finding sum of the interior angle of a polygon

s= (n-2)180

where s is the sum of the interior angle and n is the number of side

from the question given, sum of the interior angle s=1800 degrees

substitute s=1800 degree into the formula and solve for n

s= (n-2)180

1800 = (n-2)180

divide both-side of the equation by 180

1800/180 = n-2

10 = n - 2

add 2 to both-side of the equation

10 + 2 = n

12 = n

n= 12

The polygon have 12 sides

please solve
thanks ​

Answers

Answer:

1) 250°, 2) 44°

Step-by-step explanation:

1) See attached

If we add a line ⊥ to both AB and DE, we can find x as a sum of 2 internal angles of right triangles and 180°

∠D internal = 360°-312°=48°

x=180°+(90°-62°)+(90°-48°)= 180°+28°+42°= 250°

x=250°

2)

∠ADC= ∠ABC= 180°- ∠ADE= 180°- 110°= 70°

∠DBC= ∠ABC- ∠ABD= 70°-26°= 44°

∠DBC= 44°

The Perfect square numbers between 100 and 200 are ____
Pls help.

Answers

Step-by-step explanation:

The perfect square numbers between 100 and 200 are :

10^2 =100

11^2 =121

12^2 =144

13^2 =169

14^2 =196

Please help. 10 points and brainliest

Answers

Answer: C

Step-by-step explanation:

Since you are multiplying the two scientific notations, you would multiply 8.1 and 2.2. After, you would multiply the 10³ and 10^6. When you multiply 2 exponents with the same base, you add the exponents. Therefore, C is your correct answer.

Answer:

(8.1*2.2)*10^3+6

Step-by-step explanation:

The equation = 1.782*10^10=17820000000

The top equation = 10.3*1001000

The second equation = 17.82*10^18=17820000000000000000

The third equation = 17.82* 1000000000= 17820000000

 

I need help ty i only need the answer

Answers

Answer:

50°

Step-by-step explanation:

90° add 40° makes 130°. 180° minus 130° makes 50°

Answer:

50

Step-by-step explanation:

90+50+40= 180 which is the total of  a right triangle

plz I need help with my math hw​

Answers

Answer:

270

Step-by-step explanation:

f(5) = 7+4(5) = 7+20 = 27

g(5) = 1/2(5) = 1/10

f(5)/g(5) = 27 / (1/10) = 27*10 = 270

Answer:

Step-by-step explanation:

(7+20)/(1/10)

27*(10/1)

270

How would you solve this I’m confused

Answers

Answer:

[tex]x=8.5^o[/tex]

Step-by-step explanation:

Notice that since segments AB and DE are parallel, then angles [tex]\angle A[/tex] and [tex]\angle E[/tex] must be equal since they are alternate angles in between parallel lines.

So, [tex]\angle E = 50^o[/tex]. We also know that [tex]\angle C = 45^o[/tex], then the remaining angle ([tex]\angle D[/tex]) in triangle CDE must be such that added to the other two angles results in [tex]180^o[/tex]. That is:

[tex]\angle D = 180^o-\angle C-\angle E\\\angle D = 180^o-45^o-50^o\\\angle D= 85^o[/tex]

Now, since angle D equals 10 times x, we can solve for the unknown x in the equation:

[tex]\angle D=10\,x\\85^o=10\,x\\x=\frac{85^o}{10}\\\\x=8.5^o[/tex]

what property is 5(8+3)=5*8+5*3?

Answers

Answer:

distributive property

Step-by-step explanation:

5(8+3)=5*8+5*3

This is an example of the distributive property

The 5 is distributed to each of the terms inside the parentheses

The property of the stated equation is distributed property I am pretty sure.
That is because the 5 is being distributed between 8 and 3.

What is the height of this isosceles triangle?

Answers

Answer:

height ≈ 11.9 units

Step-by-step explanation:

Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.

Using the sine ratio in one of these right triangles, then

sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] ( the opposite is the height h )

sin48° = [tex]\frac{h}{16}[/tex] ( multiply both sides by 16 )

16 × sin48° = h , thus

h ≈ 11.9 ( to the nearest tenth )

Events A and B are overlapping.

P(A) = 4/11; P(B) = 3/11, P(A and B) =2/11 .

Find P(A or B).

Answers

Answer:

5/11

Step-by-step explanation:

Since the events are overlapping...

P(A or B) = P(A) + P(B) - P(A and B)

P(A) = 4/11

P(B) = 3/11

P(A and B) = 2/11

P(A or B)  = 4/11 + 3/11 - 2/11

P(A or B)  = 5/11

Answer:

5/11

Step-by-step explanation:

Help meh pls!!!!!!!!!!!!!!!!!!!!!!! 11÷3/4

Answers

Answer:

Step-by-step explanation:

Multiply by the reciprocal of 3/4. That is 4/3

[tex]\frac{11}{1} *\frac{4}{3} =\frac{44}{3}[/tex]

2 doesnt go into 44, but it does go into 42. It goes into 42 fourteen times. Then there is 2/3rds leftover

[tex]\frac{44}{3} ,14\frac{2}{3}[/tex] are both equivalent

A 23 foot long piece of wood is leaning against the wall of a house. If the angle of elevation at the base

of the wood to the wall is 75 degrees , how far is the wood from the base of the wall?

Answers

Answer:

22.22 feet

Step-by-step explanation:

The piece of wood forms the shape of a right angled triangle with the wall of the house and the floor.

The piece of wood is 23 feet long and it is the hypotenuse.

The angle of elevation of the wood is 75° and we are to find the length of the wood to the base of the wall. Let that be y.

Using trigonometric function SOHCAHTOA:

sin(75) = x/23

=> x = 23 * sin(75)

x = 22.22 feet

The wood is 22.22 feet far from the base of the wall.

Simplify: 5x(2x-3y)
o 10x7 - 15xy
10x -8y
10.x2 -3y
10x7 - 15y?

Answers

Hey!!

5x(2x-3y)

=5x*2x- 5x*3y

= 10x^2-15xy

So the right answer is of option A

hope it helps.....

Answer:

the answer is 10x^2-15xy

Step-by-step explanation:

i cant make it any simpiller

You start at (7, 0). You move up 9 units. Where do you end?

Answers

Answer:

(7, 9)

Step-by-step explanation:

Answer:

Your answer should be 7, 9

To find the height of a pole, a surveyor moves 180 feet away from the base of the pole and then, with his eyes (4 feet above the ground), measures the angle of elevation to the top of the pole to be 44 degrees. Draw a picture and label a diagram to represent this situation. What is the height of the pole? Show your work.

Answers

Answer:

177.82397947 ft

Step-by-step explanation:

to find height of of the pole:

tan(44 degrees)=x/180

add the height of the person

x=(180tan(44 degrees) )+4

x=177.82397947 ft

now, round to what point you need to

I need help with this question.

Answers

Answer:

They are incorrect.

Step-by-step explanation:

Both iscocoles and right angled triangles are very similar. They both measure differently and are not the same,

Yeah I agree with the person above
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