Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 11 less than 2 and a half times the number of cards Bill has. Calvin has 1 more than 1 and a half times the number of cards Bill has. If Calvin and Alan have the same number of cards, the number of cards Bill has is

Answers

Answer 1

Answer:

Hope it helps) and HAPPY NEW YEAR MY DEAR

Step-by-step explanation:

Let A be the number of cards Alan has

B be the number of cards Bill has

C be the number of cards Calvin has

Alan had 11 less than 2 1/2 times the number of cards bill has.

is 2.5

Alan is 2.5 of bill has minus 11

A=2.5B -11

Calvin has 1 more than 1 1/2 times the number of cards bill has.

is 1.5

Calvin is 1.5 of bill has plus 1

C=1.5B + 1

Alan and Calvin have the same number of cards

So A=C

WE plug in A and C equations and solve for B

2.5B -11 = 1.5B + 1 (subtract 1.5B on both sides)

1B -11 = 1 (Add 11 on both sides)

B = 12

If Alan and Calvin have the same number of cards, the number bill has is 12

The number of cards Alan and Calvin each have is 19

Total cards = 12 + 19 + 19 = 50

If Alan, bill, and Calvin have all the cards in the deck then the deck has 50 cards.


Related Questions

PLEASE HELP!!!



I dont understand how to work this problem out...
If possible, please explain how you got your answer. It would be very helpful!

Thanks!!​

Answers

Answer:

its b

Step-by-step explanation:

I hope this helped

The length of a planet's orbit around a star is approximately 34,510,000 km.
It takes the planet about 1500 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?

Answers

Answer:

change days to hours so 1500×24=36000

34510000÷36000=959kmh-1

The value of 30 - (2 - 4) ÷ (-2) is _____.

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Q.10...In a cookie mix, we find chocolate chip cookies, spice cookies, and ginger cookies in a ratio of 4 : 3 : 3. If a bag of the mix contains 33 ginger cookies, how many chocolate chip cookies are there?

Answers

Answer:

13.2

Step-by-step explanation:

Let 4x represent the chocolate chip cookies

Let 3x represent the spice cookies

Let 3x represent ginger cookies

4x + 3x + 3x = 33

10x = 33

x = 33/10

x = 3.3

Since 4x represents chocolate chip cookies

4 × 3.3

= 13.2

Hence there are 13.2 chocolate chip cookies

The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.

Answers

Answer:

£ 537.63

Step-by-step explanation:

original price = 100%

selling price = 100% - 7% = 93% = £500

just do the proportion or ratio

[tex] \frac{100\%}{93\%} = \frac{original \: price}{500} [/tex]

OP = 500 x 100% / 93%

OP = £ 537.634

rounded to the nearest penny and become £ 537.63

Linda is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $30. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Linda has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks. Equation: ? X Total amount of money after 11 weeks: $ ]​

Answers

Answer:

680

Step-by-step explanation:

30 times11 then you get 330 then add to 350

Here is an inequality: -2x>12 select 3 values for x that would make this inequality true

Answers

Answer:

x = -7 .... x = -8 ..... x= -10

Step-by-step explanation:

-2 * -7 = 14

-2 * -8 = 16

-2 * -10 = 20

In a survey of 3,400 people who owned a certain type of​ car, 1,700 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

50%

Step-by-step explanation:

Calculation for What percent of the people surveyed were satisfied with the​ car

Using this formula

Percentage of people satisfied=Owners of car/Numbers of people to buy the same car again

Let plug in the formula

Percentage of people satisfied=1,700/3,400 people*100

Percentage of people satisfied=0.5*100

Percentage of people satisfied=50%

Therefore the percentage of the people surveyed who were satisfied with the​ car is 50%

help mee please i’ll give you brainlest no capppp

Answers

Hold up let me calculate

what number is lower -162 or 159

Answers

Answer:

-162

Step-by-step explanation:

Answer:

-162

Step-by-step explanation:

because -162 is negative

A pizza shop sells pizzas that are 10 inches in diameter or larger.A 10 inch pizza costs 8$ each additional inch costs $1.50 and each addition topping costs 0.75

Answers

Answer:
A pizza shop sells pizzas that are 10 inches orr larger. A 10-inch cheese pizza costs $8 and each additional costs $1.50 and each additional topping costs $0.75.
The equation that represents the cost of a pizza is:
P = $10 + $1.50a + $0.75b
Where 'a' represents the number additional inches and 'b' represents the number of additional toppings.

The enrollment at a community
college this year is 115% of last year s
enrollment. If there were 1,240
students enrolled at the college last
year, how many students are there
this year

Answers

Answer:i think its -186 hope it helps

Step-by-step explanation:

Math isn’t my best subject but I’ll give it a shot. Feel free to correct me.

115% of 1,240 would be 1,426 students

I’m not sure if you have to add the 1,240 students, but if that’s the case it would be 2,666 students.

Correct me if I’m wrong, and sorry if I am.

Hope this at least helps you.

i need help with this ?

Answers

Answer:

-2 ≤x ≤10

Step-by-step explanation:

the domain refers to the x

the x is in between -2 and 10

what if you helped me

Answers

Answer:

Maximum value of z = 21

Minimum value of z = -9

Step-by-step explanation:

We have to maximize/minimize the given equation for the given constraints as,

x ≥ -1

y ≤ -2x + 3

y ≥ -1

By using the graphing tool,

Corner points for the feasible region are,

A(-1, 5), B(-1, -1) and C(2, -1)

For A(-1, 5),

z = 4x + 5y = 4(-1) + 5(5)

                  = -4 + 25

                  = 21

For B(-1, -1),

z = 4(-1) + 5(-1)

  = -4 - 5

  = -9

For C(2, -1),

z = 4(2) + 5(-1)

  = 8 - 5

  = 3

Maximum value of z = 21

Minimum value of z = -9

PLEASE HELP ME MWAH MWAH ;-;
A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4).

The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the flower bed?

ANSWER: (__,__)

Answers

Answer:

pov you're in 2016

Step-by-step explanation:

uwu is anybody here QWQ

can i see a graph for it i'm a visual person

Pls help will give brainilist

Answers

Answer:

1566 units^2

Step-by-step explanation:

34×28=952

34×9=306

28×11=308

952+306+308=1566

Answer:

1259 sq units

Step-by-step explanation:

Area of rectanlge; (A=bh)       A=34 x 28 = 952

Area of left triangle; (A=bh/2)    A=(28 x 11) /2 = 154

Area of abovle triangle; (A=bh/2)    A=(34 x 9) /2 = 153

Sum of area of all three figures = 1,259

x = 0 O 5x + 7 = 37 Plz answer I need da answer​

Answers

Answer:

5x + 7 = 37

x= 1.97435

Step-by-step explanation: Hope this help

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8y-2x=-72

Answers

Answer:

y = 1 4 x − 9

Step-by-step explanation:

Write in slope-intercept form,  y = m x + b .

Answer:

y = 1/4x - - 9

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

8y - 2x = -72

Step 2: Rewrite

Find slope-intercept form

Add 2x on both sides:                    8y = 2x - 72Divide 8 on both sides:                  y = 1/4x - - 9

16 . Each child going to a science museum had to pay $9. One-third of this was for bus fare.
What was the admission fee for adults, if children get in for half price?
17. Brian's tyre is leaking at a rate of 10ml per minute. If it went unchecked for one and a
quarter of an hour, how much air would be lost?
18. Glasses were on sale at the rate of 4 for the price of 3. If they were $1 each, how much
would a dozen cost?
19. Everybody in a class plays soccer or Rugby. Half of the class plays soccer. Of those
that play soccer, half also play rugby. If 24 students play rugby, how many students are
in the class
20. Kylie's petrol tank was half full but she used one third of this petrol in travelling to Ryde
and back. What fraction of a tank remained after the trip?

Answers

Answer:

16. Adults = $12

17. 750 ml

18. $9

19. 96 students

20. 5/6x

Step-by-step explanation:

16.

A child pays = $9

Bus fee = 1/3 of $9

= 1/3× 9

= $3

Admission fee for a child= amount paid - bus fee

= $9 - $3

= $6

What was the admission fee for adults, if children get in for haprice

Children = 1/2 of adults

$6 = 1/2 × adults

Adults = 6÷ 1/2

= $12

Adults = $12

17.

Leaking rate = 10 ml per minutes

One and quarter of an hour

1 hour = 60 minutes

Quarter of an hour = 15 minutes

Total time = 75 minutes

Air lost in 75 minutes = 10 ml × 75

= 750 ml

18. 4 glasses for $3

1 dozen of glasses = 12

12 glasses = $x

4 = 3

12 = x

Cross product

4*x = 3*12

4x = 36

x = 36 / 4

= 9

x = $9

19.

Total students = x

1/2x = soccer

Rugby = 1/2 of 1/2x

= 1/2 * 1/2x

= 1/4x

24 = 1/4x

x = 24÷1/4

= 24 × 4/1

x = 96 students

20.

Total petrol = x

Petrol in the tank = 1/2x

Petrol used = 1/3 of 1/2x

= 1/3 × 1/2x

= 1/6x

Petrol remaining after the trip = x - 1/6x

= 6x-x/6

= 5/6x

what is the answer to -4-8×+2-15

Answers

-25x because you negative four then subtract 8x then add 2 then subtract 18 then equals to -25x

Please help ASAP simplify the expression given below

Answers

Answer:

The correct answer is B.)

Step-by-step explanation:

How many questions was the test? Was it 34 or 44?

The expression (x² + 3) / (x-3)(x-1) is the simplified form of the given expression. which is the correct answer would be an option (B).

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given below as:

(x-3)/(x-1) + 6/(x-3)

To simplify the expression, we can first combine the terms that have a common denominator:

(x-3)²+ 6(x-1) / (x-3)(x-1)

We can simplify the expression further by using the fact that

(x² + 9 - 6x + 6x - 6) / (x-3)(x-1)

Combine the likewise terms and apply the arithmetic operation,

(x² + 3) / (x-3)(x-1)

Thus, the simplified expression is:

(x² + 3) / (x-3)(x-1)

Learn more about Expressions here:

brainly.com/question/21751419

#SPJ2


Christian is training for a swimming competition He starts swimming 10 ft. from the shore to his boat The table below represents the distance from the shore. f(z), as a function of time after z minutes of swimming.

Answers

Answer:

f(x) = 20x + 10

Step-by-step explanation:

(0 , 10) ; (3 , 70)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{70-10}{3-0}\\\\= \frac{60}{3}\\\\= 20[/tex]

y- intercept = 10

f(x) = mx + c

     = 20x + 10

1/2 (p+3) = 7

Please help! ​

Answers

Answer:

p = 11

Step-by-step explanation:

[tex] \frac{1}{2} \times (p + 3) = 7[/tex]

[tex] = > p + 3 = 7 \div \frac{1}{2} [/tex]

[tex] = > p + 3 = 7 \times 2 = 14[/tex]

[tex] = > p = 14 - 3 = 11[/tex]

Write a real-world example for the following algebraic expression: 2x - 2

Answers

Answer:

At the store every lollipop coasts $2 you have a coupon that will give you $2 off any purchase.  

Step-by-step explanation:

2= the coast for each single lollipop

x= the number of lollipops you buy

-2= the $2 taken off your purchase due to your coupon

3x+10, -2x+40, and x+40.

What is the value of x?

Answers

Answer: 2

Step-by-step explanation:

Nicholas read a total of 20 books over 4 months. If Nicholas has read 45 books so far, how many months has he been with his book club? Assume the relationship is directly proportional.

Answers

Answer:

5 months

Step-by-step explanation:

45-20=25

25/5=5

Answer:

5 months

Step-by-step explanation:

ayeeee

2/5+3/4 please help me

Answers

Answer:

1.15 correct me If I am wrong

Step-by-step explanation:

Answer:

23/20

Step-by-step explanation:

Answer fast please, thank you.

Answers

Answer:

x<1

X<9

Step-by-step explanation:

algebra calculator.

The ratio of girls to boys is ms. Harrington's class is 5:7. If there are 60 students in all of her classes then how many are girls?

Answers

Answer:

25

Step-by-step explanation: Because if you add 5+7=12 60/12=5 5*5=25 so thats your awnser

can someone please wright me an equation for this and answer it. and also answer this.
find the 5th and 20th terms in the arithmetic sequence.

Answers

Answer:

3x-5=81

hope my answer is helpful to you

plz mark me as brainlist and also follow me

Other Questions
If you are truly committed to creating a lifelong learning habit, how can you ensure you are remaining focused on developing this habit? Select an answer: You understand that just because something is interesting, it does not mean you are actually committed to learning. You limit your learning to the area you work in; otherwise you are not truly learning. You have a weekly check-in where you ask yourself what interesting things you have learned over the week. You plan your learning; if you do not, then you are not truly committed to learning. What's the rule for translating a point 4 units left and 8 units up? what are the different alignment options available in Microsoft Give me an amen if you agree Snitches and rats are not the same thingLet me break it down to make sure y'all see what I meanA "snitch" is someone minding other folks' businessTo find information they can sell for a priceOr trade for some other form of compensationA "rat" is a traitor, a conceiver, planner or physical participatorHe doesn't sell secrets for power or cashHe betrays the trust of his team or his familyHoping to save his own cowardly selfThe difference is, at least a snitch is humanBut a rat is a truckin' rat, period. Can you please help me ? Which substance is a heterogeneous mixture?Cheddar cheeseclean airGranola barDrinking water If the cost of plastering 4 walls of a room at Rs 45 per sq. m is Rs 8100, find the area of the 4 walls of the room What is the sum of the 12th square number and the 6th square number? What is in blood that makes the different blood types ? A) The type of enzyme(s) on the surface of the blood cell B) The type of DNA inside C) The chemical makeup of the blood molecule D) The shape of the blood cell lowest common multiple of 22 and 14 Read the steps in the process of writing a proceduraltext.1. Create a title.2. Evaluate the process.3. List materials needed to support the process.4. Consider the best method.5. Define numbered steps in the process.What is the most logical order of steps?A) 1, 3, 4, 5, 2B) 1, 4, 2, 3, 5C) 1, 5, 2, 4, 3D) 1, 4, 5, 3, 2 I have an assignment and Im trying to figure out is this is a rhyme and if not what literary device is it? Baby really hurt my crying in the taxi he dont wanna know me Which is a healthy coping strategy that Noah can use if he begins to feel depressed What role did the gods play in Sumerian society? Please answer !!! Will name brainliest!! can you help me with this ???? Answer please Ill give extra points ! Which leader was directly involved in the Yom Kippur War in 1973? A caterpillar moves across the grass at a rate of 423 feet every 7 minutes. How fast does the caterpillar move in feet per minute? Is penut butter good or bad fr when ur sickmy symptoms are sick tummy and sore bodyI haven't thrown up or got any cold symptoms Steam Workshop Downloader