It is the end of the semester, and the clubs at school are recording their profits. The Science Club started out with $20 and has increased its balance by an average of $10 per week. Write an equation in slope intercept form for the Science Club. It is the end of the semester, and the clubs at school are recording their profits. The Math Club has saved $5 per week after starting out with $50 at the beginning of the semester. Write an equation in slope intercept form for the Math Club. It is the end of the semester, and the clubs at school are recording their profits. Graph both lines from question 1 and 2 on the same coordinate plane. When do the clubs have the same balance?

Answers

Answer 1

Answer:

Science Club- y=10x+20

Math Club- y=5x+50

They will be equal 6 weeks

Step-by-step explanation:

X equals the number of weeks that have passed. In example of the science club, they would gain $10 every week, making the equation y (total money) equal to 10 dollars a week (or 10x.)

Since we know they begin with 20 dollars, we'll simply add that to the 10 dollars a week.

To find the week when they will be equal, we have to put both equations equal to each other.

10x+20=5x+50

Now we solve for x, or the number of weeks when the equations (and values) will be equal.

10x+20=5x+50

5x+20=50

5x=30

x=6

So... 6 weeks :)

You can use desmos to graph if you need it.


Related Questions

what is equavilent to (10x+7r-r^(2))+(-6r^(2)-18+5r)

Answers

Answer:

−7r^(2)+12r+10x−18

Step-by-step explanation:

Grab the original equation: 10x+7r−r^(2)−6r^(2)−18+5r

For subtraction bits, treat them as negatives: 10x+7r+−r^(2)+−6r^(2)+−18+5r

Combine like terms: (−r^2+−6r^2)+(7r+5r)+(10x)+(−18)

Simplify that, and you get your final answer: −7r^(2)+12r+10x+−18

A2. Find y' and y" for y^2 = x^2
+ sinxy

Answers

Answer:

y'   = (2x + y cosxy)/(2y + x cosxy)

Step-by-step explanation:

Using implicit differentiation:

y^2 = x^2 + sin xy

2y y' = 2x + cos xy  * (xy' + y)

2y y' = 2x + xy' cos xy + y cos xy

2y y' - xy' cosxy = 2x + ycos xy

y'   = (2x + y cosxy)/(2y - x cosxy)

20 POINTS PEOPLE!!!
it was estimated that 200 people would attend game night, but 196 people actually attended what is the percent error, to the nearest percent, of the estimate?

Answers

Subtract the two numbers to find the difference:

200-196 =4

Divide the difference by the estimated number:

4/200 = 0.02

Multiply by 100 to change to percent:

0.02 x 100 = 2%

The answer is 2%

(3 x 8) x 4 = 3 x (O)

Answers

Answer:

(O)=32 us the answer to the question.

Andy Mendoza makes handcrafted dolls, which he sells at craft fairs. He is considering massproducing the dolls to sell in stores. He estimates that the initial investment for plant and equipment will be $25,000, while labor, materials, packaging, and shipping will be about $10 per doll.He has determined that sales volume is related to price, according to the following linear equation: v=4000-80p Develop the nonlinear profit function for Andy and determine the price that will maximize profit, the optimal volume, and the maximum profit per month.

Answers

Answer:

It is 12

Step-by-step explanation:

Hope this helped have an amazing day!

Jason bought 7 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 30 cards left. How many cards did he start with?

Answers

Answer:

53

Step-by-step explanation:

53+7=60-half=30

Answer:

geegegtkfifigjfjrjicirjjfigjrkivigk

Step-by-step explanation:

bgfeefcfifirifiridurjfjdjdjdjdj

2(6 + 3n) - 4
i need the answer...
.....

Answers

Answer:

See below.

Step-by-step explanation:

2(6 + 3n) - 4 (Given)

12 + 6n - 4 (Distribute)

6n + 8 (Add like terms)

3n + 4 (Divide by a factor of 2)

In case you wanted to solve for n:

2(6 + 3n) - 4 = 0 (Given)

12 + 6n - 4 = 0 (Distribute)

6n + 8 = 0 (Add like terms)

6n = -8 (Substract on both sides)

n = -4/3 (Divide 6 on both sides)

please help me asap​

Answers

Answer:

1) B (66)

2) A (-36)

3) A (10)

4) B (1)

Step-by-step explanation:

Just solve the equation by using inverse operations

(1) 66
(2) -36
(3) 10
(4) 1

Which graph shows the solution to the system of linear inequalities? x+5y>=5. y<=2x+4

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

The solution to the inequalities is (-11/15. 38/15)

Equation of a line

Given the systen of inequalities expressed as:

x+5y>=5y<=2x+4

inequality graph

In order to get the graph that shows the solution and the coordinate of the solution, equate the inequalities to havee:

(5-x)/5 = 2x + 4

5 - x = 10x + 20

20 - 5 = -11x

15 = -11x

x = -11/15

Given that y = 2x + 4

y = -22/15 + 4

y = 38/15

The solution to the inequalities is (-11/15. 38/15)

Learn more on inequality graph here: https://brainly.com/question/11234618

How did you get the answer

Answers

Answer:

when you solve a questions

Step-by-step explanation:

You get the answer when you solve a questions correctly

please mark brainlest i had never got brainlest

Answer:

by getting the information for  a text ot story

Step-by-step explanation:

Using scientific notation, what is the solution to (5.4 * 105) - (1.2 * 103)?


5.412 * 105


5.388 * 102


5.388 * 103


5.388 * 105

Answers

Answer:

[tex]5.4*10^{5}-1.2*10^{3}=5.388*10^{5}[/tex]

Step-by-step explanation:

We can rewrite [tex]1.2*10^{3}[/tex] as [tex]0.012*10^{5}[/tex].

Now, let's subtract each term:

[tex]5.4*10^{5}-0.012*10^{5}[/tex]

we can take a common factor.

[tex](5.4-0.012)*10^{5}=5.388*10^{5}[/tex]

Therefore the answer is  [tex]5.388*10^{5}[/tex].

I hope it helps you!

A local theater charges $8 for adult tickets and $6 for children's tickets to a play. If a group of 24
goes to the theater and pays $164, how many of each ticket type did the group purchase?

Answers

Answer:

The theater was attended by 10 adults and 14 children.

Step-by-step explanation:

As the theater charges adults $ 8 and children $ 6 for each ticket, there is a surcharge of $ 2 for each adult. Thus, given that a group of 24 people attended the theater, as a minimum (that is, if they were all children) the establishment should charge $ 144 (6 x 24). Now, since it charges $ 164, there is a difference of $ 20 (164 - 144), attributable to the surcharge paid by adults for each ticket. Thus, since this surcharge is $ 2, dividing 20 by 2 we obtain 10, which is the number of adults who attended the theater.

This is verified by the following calculation:

10 x 8 = 80

14 x 6 = 84

80 + 84 = 164

Therefore, the theater was attended by 10 adults and 14 children.

If the Ramirez family deposits $5000 in a savings account at 7.5% interest compounded continuously, how much will be in the account after 15 years?

Answers

Answer:

The amount is $14794.39 and the interest is $9794.39

Step-by-step explanation:

Plz hurry and answer this.

Answers

Answer:

4 - 4(√3 - 4)i

Step-by-step explanation:

Given

z₁  = 4 - 4√3iz₂ = -16i

To find

z₁ - z₂

Solution

z₁ - z₂ =4 - 4√3i - (-16i) =4 - 4√3i + 16i =4 - 4(√3i - 4i) =4 - 4(√3 - 4)i

Correct option is C

Answer:

[tex]z1 = 4 - 4 \sqrt{3} i \\ z2 = - 16i \\ z1 - z2 = (4 - 4 \sqrt{3} i) - ( - 16i) \\ = 4 - 4 \sqrt{3} i + 16i \\ = \boxed{4 - 4( \sqrt{3} - 4)i}[/tex]

3) 4-4(√3-4)i is the right answer.

How do I simplify 25.3(2.4)

Answers

Answer:

60.72

Step-by-step explanation:

you multiply 25.3 by 2.4

Monica's school band held a car wash to raise money for
a trip to a parade in New York City. After washing 125
cars, they made $775 from a combination of $5.00 quick
washes and $8.00 premium washes.

Answers

Answer:

1 is 50 and 2 is 75

Step-by-step explanation:

i did the work

2,037 divided by 39 with the remaining

Answers

Answer:

53 remainder 23

= 53 23/38

Step-by-step explanation:

Answer:

52 with 9 remaining

Step-by-step explanation:

When dividing this, we find that our whole number we are going to multiply with is 52, and if it was 53 it would be over 2,037. So, we multiply 39 by 52 and get 2,028, which is an extra of 9 remaining.

84 9/20 as a decimal number I NEED THE ANSWER ASAP

Answers

Answer:

84.45

Step-by-step explanation:

hope this helps!!! please mark brainliest:)

84.45!!
hope it helps!:)

please solve:
2(X+3)=8-3(x-4)
x-3(x-2)=3(2-x)
question from equation and inequality.​

Answers

Answer:

i) x = 2.8

ii) x = 2

In the diagram, segments AD and AB are tangent to circle C. Solve for x.
A)
x = 3


B)
x = 9


C)
x = 13



D)
x = 3; x = -3

Answers

Answer:

3

Step-by-step explanation:

1. according to the condition ΔACD=ΔACB, then AB=AD.

2. if to re-write AB=AD, then 11=x²+2, ⇒ x=3;-3.

3. the value of the length can not be smaller than '0', then x=3.

the answer A) x=3

What is 67/100 as a decimal representation and a percent representation

Answers

Answer:

Decimal Representation: 0.67

Percent Representation: 67%

Answer:

decimal = 0.67

percentage =67%

Which expressions simplify to a rational answer?
Select each correct answer.
O 15.15
O2V9.4
0 V3.16
O 7V3.13

Answers

I think is the first one

PLEASE HELP LAST QUESTIONI HAVE 4 MINS LEFT

Answers

Answer:

mmmm.

Step-by-step explanation:

well it's been 6 minutes so I dont know how to help you here man. thank you for the points tho!!!

Which is the better deal? [You must show your work in order to receive full credit (2 points).]
12 packs of fruit snacks for $9.12 or 9 packs of fruit snacks for $6.99

Answers

Answer:

i think it is 12 packs of fruit snacks for $9.12

Step-by-step explanation:

HELP PLEASE PLEASE!!

Answers

9514 1404 393

Answer:

  x = 21

Step-by-step explanation:

The parallel lines divide the segments proportionally.

  x/27 = 28/36

  x = 27(28/36) . . . . multiply by 27 (in your head: (3·9)(4·7)/(4·9) = 3·7)

  x = 21

jake has 78 toy cars 49 are red and the rest are green how many cars are green​

Answers

Answer:

29

Step-by-step explanation:

Subtract 78 by 49, you would get 29.

Answer:

29 are green

Step-by-step explanation:

78 - 49 is 29

I WILL GIVE BRAINLIEST

Answers

Answer:

5

Step-by-step explanation:

3 and 1/3 divided by 2/3=

10/3 divided by 2/3=  

10/3 x 3/2=  

30/6=  

5  

10/3 x 3/2  <--- you can also cancel the 10 and the 3

 

you still get 5/1 = 5

Answer:

8 and how do you explain something you solved in your head? anyways hope that helps :)

Using the numbers 3, 2, and 4, which of these problems would have a solution of 4?

Answers

Answer:

the answer would be A.

Step-by-step explanation:

4 * 2^3/2^3

4 * (2)(2)(2)/ (2)(2)(2)

4 * (4)(2)/ (4)(2)

4 * (8)/ (8)

4 * 1

=4

so yeah A is the correct answer.

The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Inc. is repeated froFrequent Flier Miles (000) Frequency0 up to 3 53 up to 6 126 up to 9 239 up to 12 812 up to 15 2Total 50a. How many employees accumulated less than 3,000 miles?b. Convert the frequency distribution to a cumulative frequency distribution.c. Portray the cumulative distribution in the form of a cumulative frequency polygon.d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

Answers

Answer:

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

Step-by-step explanation:

The given frequency distribution representing the number of frequent flier miles accumulated by the employees in a company.                        

Frequent Flier Miles (000) Frequency

0                     up to 3 5

3                      up to 6 12

6                      up to 9 23

9                     up to 12 8

12                   up to 15 2

Total                       50

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

b. Convert the frequency distribution to a cumulative frequency distribution.

We make the cumulative frequency distribution from the frequency distribution by adding up a frequency and all other frequencies below it.                

Frequent Flier Miles Frequency Cumulative frequency

0 up to 3                                5 5

3 up to 6                                      12 17

6 up to 9                                      23 40

9 up to 12                               8 48

12 up to 15                               2 50

Total 50

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

538.6 − ____ is about 500. Write a decimal that when rounded to the nearest whole number makes the equation true.

Answers

The answer is 38.6. So rounded, it would be 38. I believe
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