Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pencils than cup C. How many pencils does cup B contain?

Answers

Answer 1

Answer:

17 pencils

Step-by-step explanation:

Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.

Tell me if I'm wrong :)

Answer 2

Answer:

12

Step-by-step explanation:


Related Questions

A jar contains 12 more nickels than quarters. The total value of the quarters equals the total value of the nickels. How many quarters are there?

-----------------
This is the only information I got in the question!

Answers

There are 15 nickels and 3 quarters.

Let x represent the number of nickels and y represent the number of quarters. Each nickel is worth 5 cent ($0.05) and each quarter worth 25 cents ($0.25)

A jar contains 12 more nickels than quarters.

x = 12 + y  

x - y = 12               (1)

Also the, total value of the quarters equals the total value of the nickels. hence:

0.05x = 0.25y

0.05x - 0.25y = 0     (2)

Therefore x = 15, y = 3

Therefore there are 15 nickels and 3 quarters.

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There are 3 quarters in the jar.

Let n = number of nickels and n' = number of quarters

Since the jar contains 12 more nickels than quarters, we have

n = n' + 12  (1)

Also, the total value of the quarters equals the total value of the nickels.

Since one nickel = $ 0.05 and 1 quarter = $ 0.25

n × 0.05 = n' × 0.25

0.05n = 0.25n'

Dividing both sides by 0.05, we have

n = 0.25n'/0.05

n = 5n'

Substituting n = 5n' into (1), we have

n = n' + 12

5n' = n' + 12

5n' - n' = 12

4n' = 12

Dividing both sides by 4, we have

n' = 12/4

n' = 3

So, there are 3 quarters in the jar.

Learn more about quarters in a jar here:

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What are the integer solutions to the inequality below?

[tex]10 \leq 2x \leq x+7[/tex]

Answers

Here's ur perfect answer

Which of the following has fixed length?
a.) A point b.) A line segment c.) A ray d.) A line.

Answers

Answer:

b)A line segment

because a line segment has fixed two points.

The picture shows the $481 four friends worked together to earn.

They want to split this money equally.


Drag the money below to the box to show how much each friend will get.

Answers

Answer:

for what you have you need to add one more $10 bill.

or make it total $120.25

good luck!!

The total amount each friend will get after split money equally is $120.25.

Given that;

The picture shows the $481 four friends worked together to earn.

And, They want to split this money equally.

Here, the total amount earn = $481

And, the number of friends = 4

Hence, the amount each friend will get,

$481/4 = $120.25

Therefore, the value of the amount is $120.25.

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ3

A machine depreciates by 1/4 of its value each year. If it cost $50,000 new,
what is its value after 8 years?

Answers

Step-by-step explanation:

The price of machine=$50000

depreciates rate (R )=1/4×100%

=25%

The scale factor from A DEF to A ABC is
6
5
ООО
4.5

Answers

Answer:

Between the edges of the first two triangles there is a ratio. To find this ratio, you need to ratio one edge of a small triangle to one edge of a large triangle. So 5/30=6/36=8/48=1/5. The ratio we want to find is 1/5 or 5.

you are making a blueprint of your bedroom and you plan to use a scale factor of 1/8. The actual width of your room is 14 fret and the actual length of your room is 16 feet. Determine the length and width of your room in the blueprint.​

Answers

Answer:

1.75 feet in the blueprints for the width

2 feet in the blueprints for the length

Step-by-step explanation:

Like and give a 5-star rating

Please brainlest

Linear or nonlinear:
why?

Answers

Answer:

Nonlinear.

Step-by-step explanation:

Linear equations do not contain exponents. Since the equation given has an exponent, it would not form a straight line on a graph, and therefore, it is nonlinear.

Hope this helps.

What does the degree of the polynomial tell you.

Answers

A degree in a polynomial function is the greatest exponent of that equation, which determines the most number of solutions that a function could have and the most number of times a function will cross the x-axis when graphed.

How to find the critical points of a function.

Answers

To find critical points of a function, first calculate the derivative. Remember that critical points must be in the domain of the function. So if x is undefined in f(x), it cannot be a critical point, but if x is defined in f(x) but undefined in f'(x), it is a critical point.

5p + 3 = 15
please make this into a word problem​

Answers

Answer:

p equals two and four tenths

Step-by-step explanation:

First let's write our equation

five p plus three equals fifteen

Subtract three from both sides

five p equals twelve

divide both sides by 5

p equals two and four tenths

_______________________________

Word Problem

You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?

Solve for (x)
I need help with 10(b)
Please

Answers

Answer:

x = 4

Step-by-step explanation:

(b)

[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 1) = 30 - 3x , distribute parenthesis on left side

4x + 2 = 30 - 3x ( add 3x to both sides )

7x + 2 = 30 ( subtract 2 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

How do you solve Y+4= -3 (x-2)

Answers

Answer:

This problem is in Point Slope form:

To turn it to Slope-Intercept form, you must follow these simple steps below⤵⤵⤵:

Distribute -3 among everything inside the parenthesis to get y + 4 = -3x + 6.Subtract 4 from 6 to get y = -3x + 2.

To turn it to Standard Form, you must follow these simple steps below⤵⤵⤵:

Use the Slope-Intercept form of this equation, in order to convert it.Add 3x on both sides of the equal sign, to get 3x + y = 2.

Hope this helps you :)

Write equation for the graph

Answers

Answer:

the line goes through 1 from x axis and in the same time the line continue his trip and goes through 4 from y axis

so now we have rule to use to find the equation

y/4+x/1=1

y/4=1-x

y=4-4x

and this is the equation

9.) During the soccer season, Finn scored goals on 8% of the shots he
took. If he scored 40 goals, how many shots did he take?
1 point
500 shots
50 shots
320 shots
32 shots

Answers

Answer:

500 shots

Step-by-step explanation:

the question is 8% of what number is 40?

we can use this proportion:  is/of = %/100

let 'g' = number of goals

40/g = 8/100

cross-multiply to get:

8x = 4000

x = 500

1.
Identify the minimum value of the function y = 3x^2 − 12x + 10.

A. −2

B. 10

C. 46

D. 2

Answers

Answer:

-2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The minimum value is the y- coordinate of the vertex

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 3x² - 12x + 10 ← is in standard form

with a = 3 and b = - 12 , then

x = - [tex]\frac{-12}{6}[/tex] = 2

Substitute x = 2 into the function for corresponding y- coordinate

y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2

Then minimum value of the function is - 2

-4x-3y=5 3x-2y=-8 Solve by substitution

Answers

Answer:

look at the picture ..........

Answer:

y=1

x=-2

Step-by-step explanation:

Lets use substitution for the first equation:

-4x=5+3y

Divide by -4 on both sides : x=-5/4-3/4y

Now we substitute x into the second equation:

3(-5/4-3/4y)-2y=-8

Simplify : -15/4-9/4y-2y=-8

Combine Like Terms : -15/4-17/4y=-8

Isolate the Variable : -17/4y=-17/4

y=1

Now we get that x is -5/4-3/4, which is -8/4=-2

x=-2

Solve by substitution.

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

I give Brainliest
Please explain step by step.

Answers

// Solve equation [1] for the variable x


[1] x = 2y - 1

// Plug this in for variable x in equation [2]

[2] 2•(2y-1) - 5y = -3
[2] - y = -1
// Solve equation [2] for the variable y


[2] y = 1
// By now we know this much :

x = 2y-1
y = 1
// Use the y value to solve for x

x = 2(1)-1 = 1

simplify the expression: -4x + 8 + 7x - 10
Help PLSSS.

Answers

3x-2 because u combined like terms (7x and -4x) then (-10 and 8) to get 3x-2

write a math story about this problem : -4n = -24 how to find n!

Answers

Answer:

n=6

Step-by-step explanation:

-4n=-24

4n=24

n=24÷4

=6

if a +b = 100, then the value of 3 (a+b) is:

Answers

Given info:- If a +b = 100, then the value of 3 (a+b) is:

Solution:-

a + b = 100

Therefore, 3(a+b)

= 3(100)

= 300.Ans

Read more:

Similar Questions

Find the value of a*b* if n = 3, a = 100, and b=1/4..

https://brainly.com/question/15990855?referrer

Please help me solve this

Answers

its also 100° because both lines are parallel , and the line crosses at the same point in them

6x+(-12x/2)+(-24x/2)​

Answers

Answer:

-12x

Step-by-step explanation:

6x+(-12x/2)+(-24x/2)

=6x+(-6x)+(-12x)

=6x-6x-12x

=-12x

Create and solve a problem involving the number 7.52 million that would require you to divide.

Answers

Answer:

7.52 million divided by 1

Step-by-step explanation:

Can I have help please

Answers

Step-by-step explanation:

the gradient describes the slope or steepness of the line joining two points.

it is expressed as the ratio of

y coordinate change / x coordinate change

so, we need to find 2 good points (typical with integer coordinates) per line to see how y and x changes between them.

for A I see e.g. (1, 1) and (2, 4)

for B I see e.g. (0, 5) and (1, 1)

so, for A

x changes by +1 (from 1 to 2)

y changes by +3 (from 1 to 4)

the slope or gradient of A : 3/1 = 3

and for B

x changes by +1 (from 0 to 1)

y changes by -4 (from 5 to 1)

the slope or gradient of B : -4/1 = -4

2. Miranda earns $12 per hour at her job. If she saves 60% of her
earnings for the computer, she will be able to buy the computer
after working
hours at her job. Her total amount is $964.80

Answers

Answer: Her total amount is $964.80

1928

Step-by-step explanation:

964+964  once s

Can someone please help I will give 30 points if the answer if right and brainliest but no links please

Answers

The symbol of red in pic indicates that angle is right angle.

So, ∆ MOU = ∆ CUO = 90°

Find the measure of the exterior angle..

Answers

135 is the answer
70 + 65 = 135
<1 + <2 = the exterior angle

Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = 27x3, y = 0, x = 1; about x = 2.

Answers

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

The volume of the solid of revolution can be determined by the following integral equation:

[tex]V = 2\pi\int\limits^a_b {|f(x)-g(x)|} \, dx[/tex] (1)

Where:

[tex]g(x)[/tex] - Lower bound function[tex]f(x)[/tex] - Upper bound function[tex]a[/tex] - Upper bound[tex]b[/tex] - Lower bound

If we know that [tex]b = 2[/tex], [tex]b = 1[/tex], [tex]g(x) = 0[/tex] and [tex]f(x) = 27\cdot x^{3}[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi\int\limits^2_1 {x\cdot |27\cdot x^{3}-0|} \, dx[/tex]

[tex]V = 54\pi \int\limits^2_1 {x^{4}} \, dx[/tex]

[tex]V = 54\pi \left(\frac{2^{5}}{5}-\frac{1^{5}}{5} \right)[/tex]

[tex]V = \frac{1674\pi}{5}[/tex]

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504

please help, i don’t know how to work this out!!

Answers

Answer:

40 degrees

Step-by-step explanation:

so, a triangle is 180 degrees. you know that one angle is 60 degrees.

180= 60+ 2x + x

this is the equation of the triangle

120=3x

simplify

40=x

x= 40 degrees

hope this helps :)

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