Henry and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that makes it in. Henry starts with 15 points, and his little brother starts with 20 points. Henry gets 3 points for every successful shot, and his brother, since he is younger, gets 2 points for each successful shot. Eventually, the brothers will have a tied score in the game. How many additional shots will each brother have made?
Write a system of equations, graph them, and type the solution.

Answers

Answer 1

Answer:

After 5 additional shots, the brothers will have a tied score.

Step-by-step explanation:

find equations

henry:

y-int is 15 because that is the starting number. the slope is 3 because that is how much his points are increasing for every successful shot. we can use this information to form this equation:

y = 3x + 15

brother:

y-int is 20 because that is the starting number. slope is 3 because that is how many points he gets for each successful shot. using this information, we can form the following equation:

y = 2x + 20

--

solve

y = 3x + 15

y = 2x + 20

3x + 15 = 2x + 20

x + 15 = 20

x = 5

--

graph

(just use desmos)


Related Questions

Sam practiced his long jump in P. E. On his first attempt, he jumped 1 meter 47 centimeters. On his second attempt, he jumped 98 centimeters. How much farther did Sam jump on his first attempt than his second?.

Answers

Answer:

51

Step-by-step explanation:

98-47= 51

im bo.red so there ya go

What is the value of X?

Answers

Answer:

45 i think

if not 54

I'm pretty sure it's 45

hope this helped :)

Solve the equation: [tex]x^{2} +5x+6=0[/tex]
I know [tex]x^{2} +5x+6=(x+3)(x+2)[/tex] (that was part a) but I don't know where to go from here!

Answers

Step-by-step explanation:

but then you did already the most work.

because just think : when is the expression

(x+3)(x+2) equal to 0 ?

only, if at least one factor of the multiplication is equal to 0.

you know, for example, 5×0 = 0, or 0×3 = 0.

that means either (x+3) or (x+2) must be 0.

x + 3 = 0

x = -3

and

x + 2 = 0

x = -2

and there you have it.

a quadratic equation (with the highest x exponent is 2) has 2 solutions for being 0.

and this one here has the 2 solutions

x = -3 and

x = -2

again, by finding the factors you did already the biggest and most difficult part yourself. congratulations !

The height of a tree is 8.2 meters.
What is the tree's height in centimeters?

Answers

Answer:

820 centimeter :3

Step-by-step explanation:

8.2 meters

move the decimal back twice because of KiloHecaDecaBase (m,l,g)DeciCentiMilli

As we know 1 meter is equal to 100 centimeters so the height of the tree 8.2 meters is equal to 820 meters

What is unit conversion?

The same attribute is expressed using a unit conversion but in a different unit of measurement.

For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

Measurements are frequently offered in one set of units, like feet, but are required in another set, like chains.

A conversion factor is a mathematical equation that facilitates an equal exchange of feet for chains.

Given, The height of a tree is 8.2 meters, now we know 1 meter is equal to 100cm so to convert some quantity from meters to centimeters we multiply by 100.

∴ 8.2 meters is equal to (8.2×100) = 820 centimeters.

learn more about unit conversion here :

https://brainly.com/question/11543684

#SPJ5

The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 120.

a. Find some possible combinations of 2-seat tables and 4-seat tables that will seat 120 customers.

Answers

Answer:

5 points for what

Step-by-step explanation:

HeY

Write the following equation in the general form Ax + By + C = 0.

1/2 y - 1/3x - 1 = 0

-2x + 3y - 6 = 0
2x - 3y - 6 = 0
2x - 3y + 6 = 0

Answers

The answer is the second option.

To find the answer quickly, fist look at the signs associated with the terms. The is a negative sign with the B and C in the original equation, and the second option is the only one that follows that.

You use 6 as the C since that is a shared value when multiplying 2 and 3, so 1/2 becomes 2 and 1/3 becomes 3.

i forgot how to turn fractions into decimals pls help me

3/5 = 0.6 but how do u get 0.6

pls show the work

Answers

Answer:

A fraction is essentially division, so 3/5 is the same as 3 ÷ 5

3÷5 = 0.6

[tex]5\sqrt{3\\[/tex]

(imagine the square root is the divsion thing)

5 cannot go into 3 so the answer is a decimal

then add a zero at the end of 3 to make 30

   0.

[tex]5\sqrt{30[/tex]

and 5 can go into 30, 6 times so you add a 6 to make 0.6

    0.6

[tex]5\sqrt{30[/tex]

ILLA
2. Miles makes $14 per hour but has to pay $55 for his cell
phone bill.

Answers

miles had to work 4 hours to pay his phone bills and he had 1$ left over

Answer:

i dont know

Step-by-step explanation:

what question are you asking?

3x^3 -5x^2 -x+3 when x=4 help I'm stuck on this

Answers

The value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

The given equation is:

[tex]3x^3-5x^2-x+3[/tex]

To find the value of [tex]3x^3-5x^2-x+3[/tex] when x = 4, substitute x = 4 into the expression [tex]3x^3-5x^2-x+3[/tex]

When x = 4:

[tex]3x^3-5x^2-x+3 = 3(4^3)-5(4^2)-5+3\\\\3x^3-5x^2-x+3 =3(64)-5(16)-2\\\\3x^3-5x^2-x+3 =192-80-2\\\\3x^3-5x^2-x+3 =110[/tex]

Therefore, the value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

Learn more here: https://brainly.com/question/25691329

if 20 articles cost $90,then the cost of 9 articles is

Answers

Answer:

$40.50

Step-by-step explanation:

90 divided by 20 is 4.5. then you multiply that times 9 and that's your answer.  

0.1 x 0.01 x 0.001
ans ???

Answers

>> Answer

________

[tex] \: [/tex]

[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]

[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]

[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]

[tex] = \bold{ \frac{1}{1.000.000}} [/tex]

Answer:

[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]

I´m gonna fail
Help
PLease and thank you

Answers

Answer:

Step-by-step explanation:

-8y-4x^3-1

Answer:

-1 - 8y - 4x³

or

-8y - 4x³ - 1

or

4x³ - 8y - 1

Step-by-step explanation:

7 - 6y - 5x³ - 1 + x³ - 7 - 2y

add LIKE terms

- 6y - 2y

7 - 1 - 7

-5x³ + x³

=

-1 - 8y - 4x³

Hope this helps and a thank won't hurt! :)

What is the first step in solving this equation?
3(2x + 6) - 4x = 2(5x - 2) + 6
Use the subtraction property of equality to subtract 6 from both sides.
Use the addition property of equality to add 4x to both sides.
Combine the like terms on each side of the equation.
O Use the distributive property on each side of the equation.

Answers

Answer: use distributive property

Step-by-step explanation:

you must always start from the numbers in the parentheses

-15 < x - 8 < -4

SOLVE COMPUND INEQUALITY​

Answers

[tex] \sf \: -15 < x - 8 < -4 [/tex]

Add 8 to all parts

[tex]\sf \longmapsto−15+8<x−8+8<−4+8[/tex]

[tex]\sf \longmapsto−7<x<4[/tex]

[tex] \boxed{\sf−7<x<4 }[/tex]

Graph attached

Please help meeeeeeeeeeeeee

Answers

Answer:

-47

Step-by-step explanation:

First term in the sequence is given as 30. The common difference (difference between first term and next term) is -7. Since we are looking for the 12th term we can do 30 - (11 * -7) = -47. It's 11 * -7 because we already are given one term in the problem statement.

What is the missing step in solving the inequality 5 – 8x < 2x + 3?

Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.

Answers

Answer:

Add 8x to both sides of the inequality.

Step-by-step explanation:

How do you do this, because I really do not know how to do this and plz explain how to do this

Answers

Answer:

A

Step-by-step explanation:

the leading degree(the biggest power in the function) x^4 and the leading coefficient is the number next to the highest power which is -5

so the answer should be

-5,4,x -> infinity, f(x) -> -infinity ; x -> -infinity, f(x) -> -infinity    

when you get asked questions like this look for the biggest power and the number next to it. if the power is even x will always be positive if its odd x can be either positive or negative it depends on restrictions.

for instance in this example -5 * x^4 will always give you negative because -5 will multiply with a positive number x (the power is even so its always positive)

In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?

Answers

Answer:

n a math class with 26 students, a test was given the same day that an assignment

was due. There were 17 students who passed the test and 18 students who completed

the assignment. There were 15 students who passed the test and also completed the

Answer:

3/26

Step-by-step explanation:

Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.

Plz mark as brainliest

i will give crown if answered right i just need to check my work

Answers

Answer:

9x(3x-2) (3x+2)

Step-by-step explanation:

[tex]81x^{3}-36x[/tex]

9(9x³ - 4x)

9x(9x² - 4)

Since both terms are perfect squares factor using the difference of squares formula,  a² - b² = (a + b) (a - b)

Therefore, 9x(3x-2) (3x+2)

Answer:

81z^3-36z = 9z(3z-2)(3z+2)

Step-by-step explanation:

(81z^3-36z)=9z(9z^2-4)

9z(9z^2-4)=9z(3z-2)(3z+2)

81z^3-36z=9z(3z-2)(3z+2)

81z^3-36z=9z(3z-2)(3z+2)

The functions r and s are defined as follows.
r(x) = -x +1
s(x)=2x2-1
Find the value of r(s(4)).
numeral composition of functions

Answers

Answer:

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

Which of the following is a solution to the inequality below?19 ≥ 5k + 6

Answers

Answer:

k ≥ 13/5 or k ≥ 2.6 ( same thing )

Step-by-step explanation:

symbol stays the same throughout (≥)

subtract 6 from both sides of the symbol ( 13 ≥ 5k)

divide both sides by 5 (13/5  ≥ k )

your answer can be written as k ≥ 13/5 or k ≥ 2.6

Which equation goes through the points (-3,5) and (-1,7)?

Answers

Answer:

y=x+8

Step-by-step explanation:

slope = y2-y1/x2-x1

slope = 7-5/-1+3

slope = 2/2

slope = 1

y=x+b

7=1(-1)+b

7=-1+b

b=8

y=x+8

If e
very day, Kim practices volleyball and clarinet. Each day, she practices volleyball for 2.5 hours. If after 8 days she practiced both volleyball and clarinet for a total of 36 hours, how many hours per day did Kim practice clarinet?

Answers

Answer:

2hours

Step-by-step explanation:

2.5×8

=20

36-20

=16

16/8

=2hours

Yo help 20 points plssssssssssssss

Answers

Answer:

Up up up up up up up up up up

plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Use DESMOS to plot both lines (attached).

If you make your own lines on the graph paper, pick two points for each line and connect them with a ruler.  Both are straight lines, so we only need two points.

Pick any two values of x and solve each equation for y.  I picked x = 1 and 3

EQ1:  y=2x-2

EQ2:  y=-x+4

Value of y    EQ1  EQ2

           x =1     0       3

           x =3    4        1

Plot the points (1,0) and (3,4) for EQ1.

Do the same for EQ2:  (1,3) and (3,1)

The attached graph shows these points.  Note that one can draw stright lines for both equations using only these two points.

pasagot please
answer it please​

Answers

Answer:

Step-by-step explanation:

Let's start by looking at the graph of the two equations.

Since you are not looking for where the lines cross, I have chosen any 3 points for each equation almost randomly. I have not used either the x or y intercepts except once.

As a sample for the method of calculation

Let x -2y = 4

Let x = -2.             Find y and put it in the table

-2 - 2y = 4             Add 2 to both sides

-2+2-2y = 4 + 2    Combine

-2y = 6                  Divide by -2

y = 6/-2

y = - 3

Put that in the table under the first equation.

The other 5 points are done the same way.

Which expression has both 8 and n as factors?

8 / n 8 + n 8n 8 - n

Answers

Answer:

8n

Step-by-step explanation:

Find the value of y to the nearest tenth.

Answers

Step-by-step explanation:

the easiest approach seems to be the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the angles are always opposite of each other.

we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.

10/sin(90) = 10/1 = 10 = y/sin(37)

y = 10×sin(37) = 6.018150232 ≈ 6.0

What is the product?

(4y − 3)(2y2 + 3y − 5)

8y3 + 3y + 15
8y3 − 23y + 15
8y3 − 6y2 − 17y + 15
8y3 + 6y2 − 29y + 15

Answers

Answer:

the last one

Step-by-step explanation:



Maricopa's Success scholarship fund receives a gift of $ 115000. The money is invested in stocks,

bonds, and CDs. CDs pay 4 % Interest, bonds pay 5.3 % interest, and stocks pay 6.2 % interest.

Maricopa Success Invests $ 15000 more in bonds than in CDs. If the annual income from the

Investments is $ 6220, how much was invested in each account?

Maricopa Success invested $

in stocks.

Maricopa Success invested $

in bonds.

Maricopa Success invested $

in CDs.

Answers

Answer:

  $50,000 in stocks

  $40,000 in bonds

  $25,000 in CDs

Step-by-step explanation:

Let c represent the amount invested in CDs. Then the amount invested in bonds is (c+15000) and the amount invested in stocks is (115000 -c -(c+15000)) = (100000 -2c). The total interest earned is ...

  0.04c +0.053(c +15000) +0.062(100,000 -2c) = 6220

  -0.031c +795 +6200 = 6220

  -0.031c = -775 . . . . . . . . . . . . . . . subtract the left-side constants

  c = 25000 . . . . . . . . . . divide by the coefficient of c

  c+15000 = 40000 . . . . bonds

  100000 -2c = 50000 . . . . . stocks

Maricopa Success invested ...

  $50,000 in stocks

  $40,000 in bonds

  $25,000 in CDs

Other Questions
in the 15th-16th century what challenges did Europeans face and how did they attempt to overcome these challenges? Help me! Quick! Please. 25 points Tess was born in Bolivia but is considered a natural-born US citizen. Why does she have this status?O At least one of her parents is a US citizen living in BoliviaO Her parents applied for her citizenship before she was born.O Her family moved to the United States shortly after her birth,Her parents asked the United States to accept her as a refugee Question 5 of 10Which of the following is correct?O A. Love chocolate. I work as a candy maker.B. I work as a candy maker. Because I love chocolate.C. Because I love chocolate. I work as a candy maker.D. Because I love chocolate, I work as a candy maker.SUBMS NEED ASAP What are the coordinates of the midpoint of AB if A (4, 6) and B(-8, 2)?o (6, 4)O (-6, 4)O (-2, 4)o (2, 4) belize and costa rica are two countries in ____A. North AmericaB. South AmericaC. the CaribbeanD. Central Americaplz and ty Answerrrrrr???????????? A chemist measured the temperature of a liquid to be 26 C, then she heated the liquid to 83 C. By how many Kelvins did the temperature change. Write things that you like about your school help plzz 78 % of R340 ,00 Which of these inequalities is graphed below Y>2x-6Y Someone plz help me :( Help me please! Rewarding brainliest and 50 points be quick! In the second paragraph, identify two central ideas in "The Benefits of Reading and Writing Extend Beyond the Classroom," and detail some of the textual evidence the writer includes in that piece. Explain the relationship between the central ideas you've identified and the textual evidence you've detailed. Be as specific as possible. Based on the video excerpt, what was Reagans purpose for giving this speech? Check all that apply Plzzzzzx help meeeeee Write an expression for the operation described below.the product of r and s PLS I NEED HELP FOR THIS! combine using not only but also he told me to rest and to eat fruits 1. Labis ang poot ni Celso sa pagkakatuklas sa kanyang tunay na pagkatao a. takot na takot b. galit na galit c. nginig na nginig d. hibag na hibag 2. Kamukhang-kamukha niya nag lalaki sa bahay pawid. a. magkakambal b. magkapatid c. magkahawig d. magkasuyo 3. May lihim sa pagkatao ni Celso. a. tago b. bahid c. sikreto d. luklok 4. Nagtalusira ang ina ni Celso sa kanyang tatay. a. tumalikod b. nagsisisi c. nakadarama d. nagtaksil 5. Ang Miliminas ay matatagpuan sa kalagitnaan ng Dagat Pasipiko. a. makikita b. matutuklasan c. mapupuntahan d. mabakasyunan Pa answer Naman po GIVING BRAINLY! A 20 pound barbell is brought from earth to the International Space Station(ISS). How does this trip affect thegravitational force between the two ends of the barbell? Assume the distance between the barbell end masses does not change.A) The gravitational force between the ends remains the same.B) The gravitational force between the ends increases.The gravitational force between the ends decreases. D) The gravitational force between them doubles.E) The gravitational force between them decreases by one half.