Minh and Mikayla are selling wrapping paper for a school fund-raiser. Customers can
buy either packages of folded paper or rolls of paper. Minh sold 6 rolls of paper and 2
packages of folded paper for a total of $44. Mikayla sold 3 rolls of paper and 9 packages
of folded paper for a total of $54. How much does each roll cost? How much does each
package of folded paper cost?

Answers

Answer 1

Answer:

Let x=rolls of paper,y=folded paper:

6x+2y=44

3x+9y=54

-------

6x+2y=44

6x+18y=108

16y=108-44=64

y=4

x=6

Thus, a roll of paper cost $6,folded paper was $4 each

Step-by-step explanation:


Related Questions

The ratio of athletes in the two teams is 3:2. After 12 athletes move from first team to second, the ratio is 5:4. Find the number of athletes on each team originally.

Answers

Step-by-step explanation:

Let the athletes be 3x and 2x.

Now, By the question we get,

(3x-12)/(2x+12) = 5/4

or, 12x-48= 10x+60

or, 2x = 108

so, x = 54

now

3x= 3×54= 162

2x = 2×54=108

The number of athletes were 162 in first team and 108 in second team originally.

x is the number of athletes on first team originally ( x > 12, x ∈ Nˣ )

y ----------------------------------------second------------------( y ∈ Nˣ )

The ratio of athletes in the two teams is 3:2

⇒      [tex]\frac{x}{y} =\frac{3}{2}[/tex]              (1)

After 12 athletes move from first team to second, the ratio is 5:4

⇒      [tex]\frac{x-12}{y+12} =\frac{5}{4}[/tex]         (2)

(1),(2)  ⇒ [tex]\left \{ {{\frac{x}{y} =\frac{3}{2}} \atop {\frac{x-12}{y+12} =\frac{5}{4}} \right. <=>\left \{ {{x=162} \atop {y=108}} \right.[/tex]

So: The first team originally has 162 numbers and the second team originally has 108 numbers

ok done. Thank to me :>

PLS HELP ASAP!!! I WILL GIVE BRAINLIEST!!
Joan represents the height at which a sea gull is flying at +4 feet and the depth at which a fish is swimming at −3 feet on a number line, where 0 represents the surface of the water. Which of these explains whether the sea gull or the fish is closer to the surface of the water? The fish is closer to the surface of the water because |+4| = 4 and |−3| = 3, and 3 < 4. The fish is closer to the surface of the water because |+4| = 4 and − |−3| = −3, and −3 < 4. The sea gull is closer to the surface of the water because |+4| = −4 and |−3| = −3, and −3 > −4. The sea gull is closer to the surface of the water because |+4| = 4 and − |−3| = 3, and 4 > 3.

Answers

Answer:

The fish is closer to the surface of the water because |+4| = 4 and |−3| = 3, and 3 < 4.

Step-by-step explanation:

A circle with radius 3 centimeters is cut from a square piece of felt.The sides of the felt square are 8 centimeter long. How much felt is left over? use 3.14 for π. Show your work.
please try to answer this asap

Answers

3.14 x 3 =9.42

8 x 4 = 32

32-9.42= 22.58cm squared

I think this is correct, I’m not sure

What number is 10/16 of 96?

Answers

Answer:

46/69

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The ratio of athletes in the two teams is 3:2. After 12 athletes move from first team to second, the ratio is 5:4. Find the number of athletes on each team originally.

Answers

Answers:

team one = 162team two = 108

=========================================================

Explanation:

The ratio 3:2 scales up to 3x:2x for some positive whole number x.

This tells us that the first team has 3x people and the second team has 2x people. We'll subtract 12 from the first team and add 12 to the second team to represent 12 people moving.

3x becomes 3x-122x becomes 2x+12

The new team counts 3x-12 and 2x+12 represent team 1 and team 2. Those expressions are in the new proportion 5:4.

This means....

(team 1 new count)/(team 2 new count) = 5/4

(3x-12)/(2x+12) = 5/4

4(3x-12) = 5(2x+12)

12x-48 = 10x+60

12x-10x = 60+48

2x = 108

x = 108/2

x = 54

From this, we then can say:

team 1 original count = 3x = 3*54 = 162team 2 original count = 2x = 2*54 = 108

The two subtotals add to 162+108 = 270 players overall.

If we were to subtract 12 from team 1, and add 12 to team 2, then,

team 1 new count = 162-12 = 150team 2 new count = 108+12 = 120

The ratio 150:120 then reduces to 5:4 when we divide both parts by the GCF 30. This helps confirm we have the correct answer.

Answer:

162 athletes108 athletes

Step-by-step explanation:

Each ratio can be expressed using two numbers that have the same sum. The sum in the first given ratio is 3+2 = 5, and in the second ratio, it is 5+4 = 9. The least common multiple of 5 and 9 is 45, so we can express both ratios so they have a sum of 45:

  3 : 2 = 3(9) : 2(9) = 27 : 18

  5 : 4 = 5(4) : 4(5) = 25 : 20

Here, we observe that the second ratio has numbers that look like 2 was moved from the numerator to the denominator. (27 -2 = 25; 18 +2 = 20) The problem statement tells us 12 athletes were moved, so multiplying the first ratio by 12/2 = 6 will tell us the numbers of players on each original team:

  first team = 27×6 = 162 athletes

  second team = 18×6 = 108 athletes

What is the approximate area of the circle, in square centimeters? Use 3,14 for π. Record your answers on grid. Then fill in your bubbles. Show your work.

Answers

Answer:

either 62.8 or 31.4

Step-by-step explanation:

you multiply 3.14 by the radius or the middle line i dont remeber what its called. but you would multpliy them

Plz answer this
What is the sum of all positive integer solutions less than or equal to $20$ to the congruence $13(3x-2)\equiv 26\pmod 8$?
Sorry about LaTeX

Answers

1

pls mark me as BRAINLIEST

Answer:

36

Step-by-step explanation:

AoPs Is FuN. You were doing the right thing just finish solving if u need explanation comment

If the perimeter of this polygon is 20 in., what is the length of the missing side?



A. 2 in.
B. 3in.
C. 4 in.
D. 5 in.

Answers

Answer:

2 inches

Step-by-step explanation:

A number is divided by 50 has a quotient of 12 with a remainder of 16. What is the number?

Answers

Answer:256 i think

Step-by-step explanation:

Hope this helped

A fruit market equally divided 80 red apples into 8 containers, and equally divided 54 green apples into 6 containers. Natalie bought 1 container of red apples and 1 container of green apples.

Which equation could be used to find n, the total number of apples Natalie bought?


80 ÷ 6 + 54 ÷ 8 = n

80 ÷ 8 + 54 ÷ 6 = n

(80+54)÷(8+6)=n

80 × 8 + 54 × 6 = n

Answers

Answer:

The second one

Step-by-step explanation:

80 / 8 tells how many red

+ 54 / 6 tells how many green

The second one.

80 red apples into 8 containers = 80/8
54 green apples into 6 containers = 54/6

1 container of red = 80/8
1 container of green = 54/6

If I want to find the total of the apples Natalie bought I add the two containers together

So 80/8+54/6=n
n=10 red+9 green
n=19
19 apples

PLZZZZZ HELP ME!!!! i dont get this!

Answers

the correct selling price is $29.97
23 x 1.11%
The right answer would be $29.97
Because you would multiply the value of the price times the percent .11 & add what you got 2.97$ to 27

Write the phrase as an expression. Then evaluate the expression when y=20.

3 less than the quotient of a number y and 4

Answers

2 is the answer to this question

y/4 - 3


20/4 - 3

5-3 = 2

Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won?
Comparing the decimal equivalents of their scores shows that Vanessa won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar.
Comparing the decimal equivalents of their scores shows that Vanessa won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.
Comparing the decimal equivalents of their scores shows that Zack won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar.
Comparing the decimal equivalents of their scores shows that Zack won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.

Answers

Answer:

Answer: Zack won. If you compare the decimal equivalents of their scores, -3.666 < -3.625

Step-by-step explanation:

Given: Vanessa and Zack are playing a game where the player with the lower score wins.

Score of Vanessa=

Score of Zack =  

We can see  

⇒ Zack has the lower score .

Hence, Zack won. If you compare the decimal equivalents of their scores, -3.666 < -3.625.

D=answer

A phone company advertises a new plan in which the customer pays a fixed amount of $ 25 per month for unlimited calls in the country and $ 0.10 per minute for international calls . If a customer uses 100 international minutes , how much do they owe ?

Enter your answer in the correct monetary format. For example $20.00

Answers

Answer:

25+0.10(100)

$35.00

Answer :

$10.00

Step - by - step explanation :

First, you multiply the amount of minutes used and the cost per minute . . . what is 100 x 0.10 ? 10

Evaluate 1/5y + 4/15 when y = 1/3

Answers

Answer:

= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

First, plug-in y for 1/3 since y = 1/3

[tex]\frac{1}{5} (\frac{1}{3} ) + \frac{4}{15}[/tex]

then multiply first according to the order of operations, then do the addition:

[tex]\frac{1}{5} * \frac{1}{3} =\frac{1}{15}[/tex]

[tex]\frac{1}{15} + \frac{4}{15}[/tex] = [tex]\frac{5}{15}[/tex]

then reduce:

[tex]\frac{5}{15} \to \frac{2}{3}[/tex]

Answer is 1/3
Here’s my work shown

plz help 10 points ;-;

Answers

Answer:

See explanation.

Step-by-step explanation:

Coordinates of point P is (2.5, 0).

Coordinates of point T are (-1.5, -1).

Coordinates of point R are (0.5, -2.5).

hope this helps.

A 6-pack of beaded necklaces costs $12.78. What is the unit price?

$____ per necklace
Please help!! will give brainliest to the correct answer!!
Thanks,
:)

Answers

$12.78/6= $2.13 you take the over all price and divide it by the number of units! brainliest is always appreciated. :)

The unit price for 1 pack of beaded necklaces is $2.13.

What is unit price?

The unit price refers to the price per unit of measures, such as price per pound, quart, ounce, or other units of weight or volume of the food package.

Given that a 6-pack of beaded necklaces costs $12.78.

We need to find the unit price, for the same.

So the unit price will be calculated by dividing the total cost by number of packets,

= 12.78/6 = 2.13

Hence the unit price for 1 pack of beaded necklaces is $2.13.

Learn more about unit price click;

https://brainly.com/question/10706678

#SPJ2

SOLVE FOR P

(1) 4 x p x .5= 12
(2) 0.03 x p x 18= 2.7

Answers

Answer:

1-24 (I dont know about 2)

Step-by-step explanation:

0.5 x 24 = 12

1- 12
Explanation: 4* 6* .5=12

2- 5
Explanation: 0.03* 5* 18= 2.7

True or False? The energy in a pendulum converts kinetic energy to potential energy, and then back again.

Answers

the answer to this question is true
the correct answer is “true”

HELP ASAP!!! SO CONFUSING!!!
[tex]n\cdot \:e\cdot \:v^e\frac{r}{14}g\cdot \:o\cdot \:n^n\cdot \frac{a}{15}g\cdot \:i\cdot \:v\cdot \frac{e}{1509}=231847921387[/tex]
GIVING BRAINLIEST!!!

Answers

correct if i’m wrong

Find the missing values in the ratio table. Then write the equivalent ratios.

Answers

Answer:

trucks: 8, cars: 18

Step-by-step explanation:

All you have to do is find the ratio

Drag and drop the fractions to order them from least to greatest.
-3/7
-4/5
2/3
1/4

Answers

-4/5, -3/7, 2/3, 1/4

Answer:

-4/5, -3/7, 1/4, 3/2

Step-by-step explanation:

I took the test these are the right answers

may i please get help i beg you​

Answers

Step-by-step explanation:

a) 108 - double the equation

b) -3 - divide by 3

C) -54 - multiply by -3

d) 6 - divide by 9

a. 180-double the equals

i really need help someone answer pls

Answers

Answer:

(4)The lowest common denominator of 3 and 8 is 24.

(5) The lowest common denominator of 5 and 10 is 10.

(6) The lowest common denominator of 7 and 3 is 21.

(7) The lowest common denominator of 4 and 5 is 20.

(8) The lowest common denominator of 2 and 12 is 12.

(9) The lowest common denominator of 15 and 5 is 15.

Hope this helped! :)

question 2 please answer

Answers

C is the greatest function but I’m sort of I am wrong

What is the perimeter of the polygon shown below?


A. 59 m
B. 62 m
C. 73 m
D. 83 m

Answers

C because if you add them all together

Answer:

C Trust me

Step-by-step explanation:

Mark as brainliest if correct

1. A ball is dropped from a height of 256 feet. After it hits the ground, it rebounds to a height that is 75% of its previous maximum height. Use proportional reasoning to complete the table.​

Answers

Answer:

85.3333333333

Step-by-step explanation:

I think because all you have to do is 256÷3 because 75% is 3 quarters

(Please answer this Plz nothing not essential) What is the sum of all positive integer solutions less than or equal to $20$ to the congruence $13(3x-2)\equiv 26\pmod 8$?

Answers

Answer:

$13(3x-2)\26\ $8 is less than twenty dollars.

Step-by-step explanation:

Just trust me I don't know how to explain I just do it.

$(3x-2)\26\$8 is less than $20

Please use the picture, remember that 1 triangle is measured inches and the other in Centimeters.

Answers

Answer:

that is a hard question

Step-by-step explanation:

6 inches and 4.97 cm the conversion is 3.81 update me if wrong I gotta know

Jean is x years old and jonathan is y years old how many years older is jean then jonathan. How old was jean 5 years ago

Answers

Answer:

x - y is the difference in the kids' ages

x - 5 represents Jean's age 5 years ago

Step-by-step explanation:

If Jean is older, write her age (x) before Jon's age (y):  x - y.  This is as far as we can go with the limited info you have shared.

Jean is x years old, so 5 years ago her age was x - 5.

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