Marcos buys 20 folders and 10 binders for a total of $100. Alicia buys 10 folders and 20 binders for $110. What is the price of each folder and each binder?​

Answers

Answer 1

Answer:

folder is $3 binder is $4

Step-by-step explanation:

Let folder be x and binders be y

Marcos

20x+10y= 100----------1

Alicia

10x+20y= 110-------------2

solve 1 and 2

20x+10y= 100 X 1

10x+20y= 110 X 2

20x+10y= 100

-20x+40y= 220

        -30y= -120

y= 120/30

y= 4

put y= 4 in 1

20x+10y= 100

20x+10(4)= 100

20x+40=100

20x=100-40

20x=60

x= 60/20

x=3


Related Questions

Angles Relations

PLEASE HELP!!

A. complementary

B. Alternate exterior

C. alternate interior

D. corresponding

Answers

Answer:

here you can see that this angles formed is alternate interior angles because you can see SZ shape the angle formation in here angle relation is 100% sure it is alternate interior angles don't confuse with alternate exterior it is alternate interior angles

Answer:

option B

[tex]aleternate \: exterior[/tex]

Step-by-step explanation:

[tex]hope \: it \: helps \: you[/tex]

Philip ran out of time while taking a multiple-choice test and plans to guess on the last 444 questions. Each question has 555 possible choices, one of which is correct. Let X=X=X, equals the number of answers Philip correctly guesses in the last 444 questions. Assume that the results of his guesses are independent.

Answers

The probability that Philip answers exactly one question correctly in the last 4 questions is 0.4096.

How to calculate the probability?

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur

It should be noted that this relates to a binomial probability. This is Illustrated as:

n! / x! (n - x)!

n = number if questions = 4

The probability will be:

P(x = 1) = (0.2)¹ × 0.8³.

= 0.4096

Learn more about probability on

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what does 3(y + 4) = 3y + 12 equal?

Answers

Answer:

15y

Step-by-step explanation:

If you add 3 and 12 together you get 15 and when you get 15 you add in the y

Answer:

Y= - 4/3x + 4

Hope this helps :))

Bath and $38,000 in student loans the interest rate on her salons is 8.25% per year she will be painless loans off for 20 years how much will Best pay altogether

Answers

Answer:

$100,700

Step-by-step explanation:

Given data

Principal= $38,000

rate= 8.25%

Time= 20 years

Applying the simple interest

A=P(1+rt)

substitute

A=38000(1+0.0825*20)

A=38000(1+1.65)

A=38000*(2.65)

A=$100,700

Hence in 20 years she will pay $100,700

y= - 1 / 4 x + 8
its for math 8 thanks yall :)

Answers

Answer:

[tex]x =-4y+32[/tex]

Step-by-step explanation:

Calculations:

[tex]y=-\frac{1}{4} x+8[/tex]

[tex]y-8=-\frac{1}{4}x[/tex]

[tex]x =-4y+32[/tex]

There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble
is selected, it is not replaced. Find the probability.
(Red and then blue)
9. What is the numerator for the probability?
10. What is the denominator for the probability?

Answers

Step-by-step explanation:

step 1. we will call the probability P.

step 2. P = (3/6)(1/5) = 3/30 = 1/10.

Solve for m
-3/7m=12

m=-28
m=-26
m=26
m=28

Answers

Answer:
m=28. So the last one.

Explanation:
-3/7m=12
-3/7m *7= 12*7
-3m=84
-3m/-3=84/-3
m=28

find the value of x in the diagram below

Answers

Answer:

x=26

Step-by-step explanation:

4x-8+34+76-x=180

4x-x-8+34+76=180

3x+102=180

3x=180-102

3x=78

x=78/3

x=26

x=26
because a straight line is 180 degrees
so you will
1) equal 4x-8, 34, and 76-x to 180
2) combine like factors
3) subtract 102 from 180
4) divide by 3x

simplify the expression for the area

Answers

Answer:

10x+276

Step-by-step explanation:

Use the equation (12)(5/6x+23)=area

Use the distributive property as seen in the image below.

This will get (12(5/6x)) + (12(23))

Solve

60/6x+276

Now simplify

10x+276

Mandis planned to spend RI 000 for shoes this week.
On Monday she spent R228.95 ond on Thursdays she spent
38 on shoes
how much money does she have left for the week?
P700​

Answers

Answer:

733.05

Step-by-step explanation:

Morgan is 15 years younger than Mrs. Santos.
Their combined age is 44.

Answers

Answer:

Mrs.Santos is 29.5 and Morgan is 14.5

Step-by-step explanation:

x - 15 + x = 44 where x is Mrs.Santos age

2x - 15 = 44

2x = 59

x = 59/2 = 29.5

y is directly proportional to x.
when y=30, x=6
work out an equation connecting y and x

Answers

Answer:

y = 5x

Step-by-step explanation:

Use the direct variation equation y = kx

Plug in 30 as y and 6 as x, then solve for k

y = kx

30 = k(6)

5 = k

Plug in 5 as k into y = kx

y = 5x

So, the equation relating x and y is y = 5x

Answer:

y=5x

Step-by-step explanation:

30 divide by 6 = 5 so y = 5x

Questions one and two I'll give brainliest if right.

Answers

Hi! i can't see the questions!!

Bryce reads 18 pages in 1/3 of an hour. What is his rate in pages per hour?

Answers

Answer:

54 is the answer

Step-by-step explanation:

18 times 3

Answer: 54 pages per hour.

Step-by-step explanation:

If Bryce can read 18 pages in 1/3 of an hour, then we need to multiply 18 by 3 to find how many pages Bryce can read in 1 hour.

18 x 3 = 54.

In conclusion, Bryce can read 54 pages per hour.

Pls help me this is do in 10 minutes

Answers

Each ticket costs $7 and on Friday every ticket is discounted by $2 so the cost of every ticket would be $5 on Friday and 5x9=45 so the cost for 9 tickets on Friday is worth $45

find (fg) (x)
f(x)= 4x2 +x4
g(x)= root x2+4

Answers

[tex](fg)(x) = f(x)\cdot g(x) \\~\\(fg)(x) = \left(4x^2 +x^4\right)\cdot\sqrt{x^2+4} \\~\\(fg)(x) = \left(4x^2 +x^4\right)\cdot\left(x^2+4\right)^{\frac{1}{2}}[/tex]

a)

PLEASE HELP URGENT!! giving 20pts and brainliest!!

Answers

Rule: opposite sides are equal/ angles are equal.

170% of what number is 35? Provide an exact fraction answer.​

Answers

Answer: 25.88

Step-by-step explanation:

As a fraction it is 22/25 pls mark brainliest

Mason used a 30% coupon to buy a new computer. After the discount, the cost of the computer was 728. Determine the original price of the computer. Calculate how much money mason saved by using the coupon.

Answers

Answer:

Mason saved $312.00.

Step-by-step explanation:

This is because, if you multiply the original price by 30%/100 or $1040 x 0.3 you get $312.00. So basically, multiply the original price by the discount number over 100 you get your answer.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The original price of the computer is 1040.

The amount saved by Mason using the coupon is 312.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Coupon = 30% off

Cost of the computer after the coupon = 728

This means that the cost of the computer is only 70% since 30% is off.

70% = 728

We know that the original price is 100%.

So,

70% = 728

Multiply 100/70 on both sides.

100/70 x 70% = 100/70 x 728

100% = 1040

The original price of the computer is 1040

The amount saved is:

= 1040 - 728

= 312

Thus,

The original price of the computer is 1040.

The amount saved by Mason using the coupon is 312.

Learn more about percentages here:

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the area of a rectangle pool is 6688 m2 if the width of the pool is 76 m what is the length

Answers

Answer:

88

Step-by-step explanation:

What is the area of this quadrilateral?
8 ft
6 ft
3.ft
A. 33 square feet
B. 42 square feet
C. 17 square feet
D. 66 square feet

Answers

Answer:

a. 33 sqft

Step-by-step explanation:

The figure is made of two non-overlapping triangles, so the total area is the sum of the areas of the two triangles

Area of a triangle is 1/2(bh) where b = base length and h = height (b and h must be perpendicular to each other)

The top triangle has b = 6 and h=8, so A=1/2(6)(8) = 1/2(48) = 24

The bottom triangle has b=6 and h=3, so A=1/2(6)(3)=1/2(18) = 9

Total area is sum of these two or 24 + 9 = 33

Which inequality is NOT true if y = -5?
A. 2y - 10 > 13
B. -14 + 6y < 8
C. 3y + 9 > -15
D. -24 - 4y < -3

Answers

Answer:

A

Step-by-step explanation:

2(-5) - 10 > 13

-10 - 10 > 13

-20 is not greater than 13.

Answer:

A

Step-by-step explanation:

Help..do not get me wrong..i have to pass this..

Answers

Answer:

Step-by-step explanation:

9/10 is equal to 18/20

3/4 is equal to 15/20

3/5 is equal to 12/20

9/20 is equal to 9/20

The next answer is 6/20 which is equivalent to 3/10

The ratio of the number of fiction books to the number of non-fiction books in a library is 8:5. There are 678 more fiction books than non-fiction books. How many non-fiction books are there in the library?​

Answers

Answer:

1130 non fiction

Step-by-step explanation:

F=fiction

NF=non fiction

F-678=NF

5F=8NF

so NF=5/8F

substitute:

F-678=5/8F

reduce:

3/8F=678

F=1808

NF=1130

There are 1130 non fiction books in the library.

Given that,

Ratio of fiction books (F) to non fiction books (NF) is 8:5.678 more fiction books in library.We need to find the number of non fiction books.

According to the scenario, calculation of data are as follows,

[tex]\frac{F}{NF} = \frac{8}{5}[/tex]

or 5F = 8NF

Now, NF = F-678

By putting the value, we get

5F = 8 ( F - 678)

5F = 8F - 5424

3F = 5424

F = 1808

So, By putting in 1st eq. we get,

5 [tex]\times[/tex] 1808 = 8NF

NF = 9040 [tex]\div[/tex] 8

NF = 1130

Non fiction books = 1130 books.

Learn more about ratio : https://brainly.com/question/606119

x-4y=-4
5x – 4y= 12

Answers

Answer: {x,y} = {4,2}

  [1]    x - 4y = -4

  [2]    5x - 4y = 12// Solve equation [1] for the variable  x

 [1]    x = 4y - 4

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

  [2]    5•(4y-4) - 4y = 12

  [2]    16y = 32

// Solve equation [2] for the variable  y

  [2]    16y = 32

  [2]    y = 2

// By now we know this much :

   x = 4y-4

   y = 2

// Use the  y  value to solve for  x

   x = 4(2)-4 = 4

Step-by-step explanation:

Answer: x=4 y=2

Step-by-step explanation:

Which point is located in Quadrant IV?

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer:

C. Quadrant IV = (8,-6)

Step-by-step explanation:

Q I = + +

Q II = - +

Q III = - -

Q IV = + -

(-8, 6) = II

(-8, -6) = III

(8, -6) = IV

(8, 6) = I

Quadrant IV = (8,-6)

HELPPP PLSSS , geometry

Answers

Answer:

64

Step-by-step explanation:

Angle 1 and Angle 8 are alternate exterior angles since line x and line y are parallell and a transversal Z passes through it. Since they are alternate exterior angles they are congruent so 8 is 64

PLZ HELP I GIVE 15 POINTS

Answers

Answer:

4 1/12. (Four, one by twelve).

Step-by-step explanation:

7/12 × 7 =?

7/12×7 = 49/12.

The answer is now in improper fraction. When we convert it to mixed fraction we get the answer as 4 1/12. (Four, one by twelve).

To estimate the sum of two mixed numbers, Grace rounds one number to 7 and the other number to 4.
Which could be the number she rounds to 7?

Answers

Answer:

Step-by-step explanation:https://brainly.com/question/21290288

Answer:

6 9/14

Step-by-step explanation:

Well, we know that 9/14 is bigger than 1/2, so that means that 6 9/14 will be rounded to 7. If it is over 1/2, you round up, if 1/2 less, than it stays the same.

Simplify the expression:
10 – 2 (8x – 5)
|

Answers

Answer:

[tex] - 16x + 20[/tex]

Step-by-step explanation:

1. Expand by distributing terms.

[tex]10 - (16x - 10)[/tex]

2. Remove parentheses.

[tex]10 - 16x + 10[/tex]

3. collect like terms.

[tex] - 16x + (10 + 10)[/tex]

4. Simplify.

[tex] - 16x + 20[/tex]

Therefore, the answer is, -16x + 20.

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