A factory makes rectangular sheets of cardboard, each with an area of 2 1 2square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 6square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Answers

Answer 1

Answer:

2 1/7 pieces

Step-by-step explanation:

A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Each sheet of cardboard = 2 1/2 square feet

Each smaller pieces of cardboard = 1 1/6 square feet

Number of smaller pieces of cardboard per sheet of cardboard = Each sheet of cardboard ÷

Each smaller pieces of cardboard

= 2 1/2 square feet ÷ 1 1/6 square feet

= 5/2 ÷ 7/6

= 5/2 × 6/7

= (5*6) / (2*7)

= 30/14

= 15/7

= 2 1/7 pieces

Number of smaller pieces of cardboard per sheet of cardboard = 2 1/7 pieces


Related Questions

What is the slope ?????????

Answers

Answer:

[tex]m=\frac{8}{5}[/tex]

Step-by-step explanation:

Answer:  The slope is  -8/5

Step-by-step explanation:

Using the located points  (-1,4)     and  (4,-4)  we will find the difference in the y coordinates of the points and divide it by the difference in the  x coordinates of the same points.  

Difference in y:  4 - (-4)  =  8

Differecence in x  -1 - 4 = -5

Slope:    8/-5

D is 13. What is the length of the line.

Answers

Answer:

D

Step-by-step explanation:

You have to use pythagorean theorem to solve this.

Answer:

D

Step-by-step explanation:

use pytherogream theory

sides, 5 and 12

pytherogream triple 5, 12, 13

The price of a holiday was increased by 11% to £870. What was the price before the increase?
Give your answer to the nearest penny

Answers

Answer:

783.78

or

£784

Step-by-step explanation:

Which question can be answered by finding 3 1/2÷1/4
A.You have 3 1/2 meters of ribbon and use 1/4 meter. How much ribbon is remaining?
B.How much is 1/4 of a 3/1/2-meter long piece of ribbon?
C.How many 1/4-meter long pieces of ribbon are needed to have a total of 3 1/2 meters of ribbon?

Answers

Answer: Choice C.

How many 1/4-meter long pieces of ribbon are needed to have a total of 3 1/2 meters of ribbon.

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

Explanation:

Let's consider a similar problem without the fractions.

Let's say you want to know how many 2 meter lengths of ribbon you can cut from an overall length of 24 meters. That would be 24 ÷ 2 = 12 pieces total.

So we divide the two values (large ÷ small)

The same idea applies to this problem as well. The larger amount (3 & 1/2 meters) is what we cut up, and each slice is 1/4 of a meter. To find the number of pieces, we would compute 3 1/2÷1/4

Note: it might help to convert the mixed number 3 & 1/2 to the improper fraction 7/2

Answer:

znvipahgvahgv

Step-by-step explanation:

Help !! I'm being tired will mark brainlest!!!

Answers

Answer:

I think it's associative property of multiplication.

Answer: a

it’s multiplication

An elevator can carry 800 pounds of weight.
A football player weighing 280 pounds gets on the elevator with a student weighing 95 pounds. Write and solve an inequality representing the
remaining weight x that can be added.

Answers

Answer:

800 > x + 375

x < 425

Step-by-step explanation:

800 > x + 375

425 > x

Determine the value of z for the system of equations. x + y + z = 2 3x - 2y + 2z = -8 8z - 12y - x = 12

Answers

Answer:

4

Step-by-step explanation:

To get the value of z, we need to reduce the system of equation into two and 2 unknowns;

Add 1 and 3:

y - 12y + z + 8z = 2+12

-11y + 9z = 14 ....... 4

Also Multiply equation 1 by 3 and subtract from 2

Eqn 1 * 2 will give 3x + 3y + 3z = 6

Subtract from eqn 2;

3y-(-2y)+3z-2z = 6-(-8)

5y+z = 14 ....5

Solve 4 and 5

-11y + 9z = 14 * 5

5y+z = 14 * 11

________________

-55y + 45z = 70

55y + 11z = 154

Add both

45z+11z = 70+154

56z = 224

z= 224/56

z = 4

Hence the value of z is 4

*EASY* SOLVE WITH STEPS *WILL MARK BRAINLIEST*

Answers

Answer:

(6, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x - 5y = 13

x + 4y = 10

Step 2: Rewrite Systems

x + 4y = 10

Subtract 4y on both sides:                    x = 10 - 4y

Step 3: Redefine Systems

3x - 5y = 13

x = 10 - 4y

Step 4: Solve for y

Substitution

Substitute in x:                    3(10 - 4y) - 5y = 13Distribute 3:                         30 - 12y - 5y = 13Combine like terms:           30 - 17y = 13Isolate y terms:                   -17y = -17Isolate y:                              y = 1

Step 5: Solve for x

Define equation:                    x + 4y = 10Substitute in y:                       x + 4(1) = 10Multiply:                                  x + 4 = 10Isolate x:                                 x = 6

Answer:

(6,1)    x=6 and y=1        

Step-by-step explanation:

EASY we can use Elimination or Substitution process

We are going to solve by

Elimination process

Subtract each other

(3x-5y=13)

(x+4y=10)

3x-5y=13;x+4y=10

To solve this multiply (x-4y=10) by 3 to get rid of the x

3x-12y=30

now u can subtract both

3x-12y=30 minus

3x-5y=13

17y=17

Divide both sides by 17

y=1

Now we have y lets plug it in to find x

x+4(1)=10

x+4=10

subtract 4 from both sides

x=6

x=6 and y=1

Use the remainder theorem to determine if x = 2 is a zero of the following polynomial, and find the quotient and the remainder.
p(x) = x3 + 24x2 + 108x - 320

Answers

Answer:

(A) Yes, x = 2 is a zero of the polynomial.

The quotient is x² + 26x + 160 and the remainder is 0

Step-by-step explanation:

Given;

p(x) = x³ + 24x² + 108x - 320

Using remainder theorem to test if x = 2 is a zero of the given function

p(2) = (2)³ + 24(2)² + 108(2) - 320

       = 8 + 96 + 216 - 320

        = 0

Thus, x = 2 is zero of the function

(ii) to get the quotient and the remainder of the given function, divide the function by 'x - 2'

                     x² + 26x + 160

     x - 2    √ x³ + 24x² + 108x - 320

                 -  (x³ -  2x²)                      

                     0   + 26x² + 108x - 320

                          - (26x²  - 52x)                  

                               0      + 160x - 320

                                        -  (160x - 320)        

                                              0     +   0  

The quotient is x² + 26x + 160

The remainder is 0                      

                                                 

Thus, the correct option is A.

Yes, x = 2 is a zero of the polynomial.

The quotient is x² + 26x + 160 and the remainder is 0            

I’ll mark as BRANLIEST!!!

45 POINTS!!!

I need help with both questions plz help god loves you all.

Answers

Answer:

43

-161

Step-by-step explanation:

43

-161

you’re welcome:))

Need Help ASAP

Nora is 12 years away from being a century old. How old is Nora?

Answers

Answer:

88 years old

Step-by-step explanation:

A century is 100 years.

100 - 12 = 88

which pair of triangles can be proven congruent by the HL theorem?​

Answers

Answer:

the middle one because HL is hypotenuse-leg and the middle one is the one that has a congruent hypotenuse and a congruent leg

(HL theorem only works with a right triangle)

Step-by-step explanation:

The pair of triangles that can be proven congruent by the HL theorem is the triangles in the middle.

Calculations and Parameters

According to the HL Theorem:

A triangle would contain:

A hypotenuse-legCongruent hypotenuseCongruent leg.

Therefore, we can see that the pair of triangles in the middle of the diagram are congruent through the HL theorem as they satisfy the conditions.

Read more about congruence here:

https://brainly.com/question/2102943

#SPJ9

Plz help I need it bad

Answers

Answer:

Reflection, then rotation

Step-by-step explanation:

The first triangle is flipped to the second position and then rotated to the thrid position.

could someone please help me?

Answers

Answer:

i-1

Step-by-step explanation:

2i 1−i = 2i(1+i)(1−i)(1+i)=2(i−1)1+i−i+1=2(i−1)2=i−1

What is an equation of the vertical line that passes through (−2, −9)?

x=?

Answers

Answer:

x = -2

Step-by-step explanation:

The length of a rectangle is three less than four times the width. The perimeter of the rectangle is 54 feet. Find the width of the rectangle.

Answers

Answer:

6 ft

Step-by-step explanation:

Let the width = w

Then the length = 4w - 3

perimeter = 2(length + width)

perimeter = 2(4w - 3 + w)

perimeter = 2(5w - 3)

perimeter = 10w - 6 = 54

10w - 6 = 54

10w = 60

w = 6

Answer: The width is 6 ft

The ratio of athletes to non-athletes at Taylor middle school is 3 to 4. If there are 33 athletes, how many non-athletes are there?

Answers

Answer:

44 non-athletes

Step-by-step explanation:

3 to 4

Athlete number, 3, was multiplied by 11.

Multiply non-athlete number, 4, by 11.

You get 44.

Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?

Answers

Answer: 7 pounds

Step-by-step explanation: 1 3/4×4=7

What’s your favorite Christmas song? Or favorite Christmas tradition?

Answers

Answer:

my favorite christmas song is white christmas

Step-by-step explanation:

Ya'll I'm desperate please answer this I really need to get it right.

Answers

Answer:

a. Indep. = x, and dependent equals f(x)

b. x impacts f(x)

f(-4)= -11

Step-by-step explanation:

hope this helped

2 plus 2 is equal to

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(-25) devided (-5).

Answers

Answer:

Step-by-step explanation:

Here you go mate

step 1

(-25)/(-5)

step 2

(-25)/(-5)  divide the equation by 5

answer

=5

Answer: 5

Step-by-step explanation:

Multiplying or dividing a negative by a negative results in a positive.

[tex](-10)/(-2)=5[/tex]

Multiplying or dividing a negative by a positive results in a negative.

[tex](-10)/(2)=-5[/tex]

Multiplying or dividing a positive by a negative results in a negative.

[tex](10)/(-2)=-5[/tex]

Multiplying or dividing a positive by a positive results in a positive.

[tex](10)/(2)=5[/tex]

Thus, because -25 and -5 are both negatives, the answer must be positive.

Heres 20p for whoever solves this

Two times x is 16 more than y. The sum of x and two times y is 18. Write two equations and graph to find the value of y

Answers

Answer:

i dont remember how to answer this so heres some info from the graph.

the y-intercept of the first equation is 8.

the y-intercept of the second equation is 18.

the equations cross at (10,4)

Answer:

y = 4

Step-by-step explanation:

:)Merry christmas eve may you guys please help me with this :)

Answers

the answer is to this is c

It’s 4 trust me
I just looked it up to make sure

4(x - 5) + 36

Use the Distributive Property

Answers

(4 * x) - (4*5) + 36
4x - 20 + 36
Combine like terms
Solution: 4x + 16

How would you solve X+5^2=16 using the rewrite method I only have 10 min left help

Answers

Answer:

x=-9

Step-by-step explanation:

x+5^2=16

x+25=16

x=-9

Answer :

x + 5² = 16

x + 25 = 16

x = 16-25

x = -9 is the answwr

Hope it helped

Math Riddle
Wizard Electronics & Games is having a holiday sale. Everything in the store is 25% off, and cash purchases receive another 25% off the sale price. How much would pay for a video game with a pre-sale of $100 if you paid with cash?
A.) $50
B.) $56.25
C.) $75
D.) $50.75

Answers

The answer would be (c) $75

Tominka use 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet. How many necklaces and bracelet sets can she make if she uses 28 1/3 inches of wire in all?

Answers

Answer:  3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.

Step-by-step explanation:

step 1

LET  I set of necklace and bracelet be represented as ( A bracelet and a necklace)

 if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet  for a set

Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9

= 9 4/9 inches.

Step 2

IF  a set (One necklace and bracelet) can use = 9 4/9 inches

and Total wire used = 28 1/3inches

Then Number of  necklaces and bracelet sets that can be made  from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches

=85/3 / 85/ 9  = 85/3  x 9/ 85  = ( 85 cancels 85 )

9/3 = 3

 3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.

A pair of jeans cost $200, but is on sale for 40% off. You still have to be 7%
tax. What is your final cost for the jeans?
$128.40
O
$120
$111.60
280

Answers

Answer:

$128.40

Step-by-step explanation:

200 × 0.4 = 80

200 - 80 = 120

120 × 0.07 = 8.4

120 + 8.4 = 128.4

Answer:

$128.40

Step-by-step explanation:

1. Find the cost after the discount.

Multiply the original cost by the discount percentage. This is the amount that was taken off of the original price.

$200 x 40% = $80

Subtract the discount from the original price.

$200 - $80 = $120.

2. Calculate the tax.

Tax is 7% of the final cost.  Multiply the final cost by the tax rate. This determines how much tax was added.

$120 x 7% = $8.40

Add the tax amount to the discounted price.

$120 + $8.40 = $128.40

The final cost is $128.40.

Two trains have to travel a distance of 300 miles. Train A goes at the speed of 50 mph and Train B goes at the speed of 60 mph. However, Train B leaves 1 hour later than Train A. When will the 2 trains meet?

Answers

Answer:

Both trains would meet in 6 hours time.

Step-by-step explanation:

Train A = 50 miles per hour

Train B = 60 miles per hour

Train B leaves 1 hour later than Train A: This means Train A started the journey first.

When will the 2 trains meet?

Both trains would meet when they both cover equal distance.

Distance = Speed * Time

First Hour

Train A = 50 miles

Train B = 0 miles

Second Hour

Train A = 100 miles

Train B = 60 miles

Third Hour

Train A = 150 miles

Train B = 120 miles

Fourth Hour

Train A = 200 miles

Train B = 180 miles

Fifth Hour

Train A = 250 miles

Train B = 240 miles

Sixth Hour

Train A = 300 miles

Train B = 300 miles

Both trains would meet in 6 hours time.

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