A pencil company used 49 grams of rubber to make 7 pencils, which is a rate of grams per pencil?

Answers

Answer 1

Answer:

7 grams per pencil

Step-by-step explanation:

49 grams/7 pencils

divided both parts of the fraction by 7 to simplify to the number of grams for just one pencil so you end up with:

7 grams/1 pencil


Related Questions

What is the volume of the composite figure shown below?


2 rectangular prisms. One prism has a length of 13 millimeters, width of 12 millimeters, and height of 12 millimeters. The other prism has a length of 15 millimeters, width of 12 millimeters, and height of 3 millimeters.
1,008 millimeters cubed
2,412 millimeters cubed
2,880 millimeters cubed
3,465 millimeters cubed

Answers

Answer:

2412 mm³

Step-by-step explanation:

It's two rectangular prisms.

Let's start with the formula for volume --> V = Bh

Top prism

V = Bh

V = (13*12)(12)

V = (156)(12)

V = 1872 mm³

Bottom prism

V = Bh

V = (15*12)(3)

V = (180)(3)

V = 540 mm³

Now add them both together and you get 540 + 1872 = 2412 mm³

The volume of the composite figure shown below is,

⇒ 2412 mm³

What is mean by Cuboid?

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

Given that;

Two rectangular prisms are shown.

Since, The formula for volume of Cuboid is,

⇒ V = Bh

Hence, For Top prism;

V = Bh

V = (13×12)(12)

V = (156)(12)

V = 1872 mm³

And. For Bottom prism;

V = Bh

V = (15×12)(3)

V = (180)(3)

V = 540 mm³

Thus,  The volume of the composite figure shown below is,

⇒ 540 + 1872 = 2412 mm³

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Question 3
Which of the following are solutions of the
equation represented by the graph?
Mark all that apply answer
0,1
2,4
-4,1
-1,2
3,8
1,0

Answers

0,1

2,4

3,8

Are all the solutions that apply to the graph

Answer:

0,1

2,4

3,8

Are all the solutions that apply to the graph

Step-by-step explanation:

What is the value of x in the equation 5x+3 - 4x?

Answers

5x + 3 - 4x = 0

x + 3 = 0

x = -3

Hope this helps :)

A regular pentagon and a rectangle have the same perimeter. The width of the rectangle is 10 more than its length
The length of the rectangle and the side of the pentagon are equal. What can be concluded about what is needed to
write an equation? Check all that apply.

Answers

Answer:

If we use the variable l for length, then the width is l + 10.

A key phrase is “same perimeter.”

A key word is “equal” when referring to the length of the two shapes.

Step-by-step explanation:

i did the problem on online school

An equation to represent the given situation is 4x+20=5x+50.

Given that, a regular pentagon and a rectangle have the same perimeter.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the length of a rectangle be x.

Then, the width of the rectangle is 10 more than its length be x+10.

The length of the rectangle and the side of the pentagon are equal.

So, the side of the pentagon = x+10

Now, the equation is 2(x+x+10)=5(x+10)

⇒ 2(2x+10)=5(x+10)

⇒ 4x+20=5x+50

Therefore, an equation to represent the given situation is 4x+20=5x+50.

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Using the discriminant, the following quadratic equation y=-3x^2+7x+6 has ___ solutions
A.2
B.1
C.0

Answers

Answer:

choice C. 0 no real solution

Step-by-step explanation:

y=-3x^2+7x+6

using the formula for discriminant

D =  b^2 - 4ac

D = 7^2  -  4*3*6

D = 49  - 72  < 0

no real solutions

The graph of 2x + 3y = 8 is shown on the grid. Which ordered pair is in the solution set of 2x + 3y = 8?
es )
A)
(1,4)
(1,-4)
(4,1)
(1.4)

Answers

Answer:

None of these solutions

Step-by-step explanation:

Substitute the values for x and y into the equation and see if they work out:

2(1)+3(4)=8

14 is not equal to 8, so (1,4) is not a solution.

2(1)+3(-4)=8

-10 is not equal to 8, so (1, -4) is not a solution.

2(4)+3(1)=8

11 is not equal to 8, so (4,1) is not a solution.

You repeated the first option as the last one but with a period instead for some reason, perhaps a typo?

a cube has a surface area of 294 square inches what is the volume of the cube?

Answers

Answer:

343 cubic inches

Answer:

V=343

Step-by-step explanation:

The formula for surface area is SA=6s^2. The formula for volume is V=s^3. Plugging in the surface area and solving for s in the first one gives you s=✓(294/6). This results in a value of 7 for the s or side length. Cubing this gives you the volume.

V=7^3

V=343

Solve the following system of equations using the substitution method.

​ x=2y
2x+5y=9

x=
and
​ y=

Answers

x=2y
2x+5y=9

substitute the x=2y into the second equation
2(2y)+5y=9
multiple the 2y by 2. 4y+5y=9
combine like terms. 9y=9
divide the 9 out from both sides. y=1
plug the y back into the first equation
x=2(1)
multiply. x=2

your answer is: x=2
y=1

Answer:

9, -2

Step-by-step explanation:

right on edg 2020

HELP ASAP PLEASE!!!!!!!!!!

Answers

answer
80


i counted

Find the circumference of a model Ferris Wheel with a diameter of 10 inches. Use 3.14 for pi. Round to the nearest tenth.

Answers

Answer:31.42

Step-by-step explanation:First you need to find the radius of the circle,so you know the radius is half of the diameter,so you take the radius(2) and multiplys by the pi which is 3.14 the formula is r^ x π

Answer:

31.4 in^2

Explanation:

The Formula for finding circumference is π*d (d=Diameter) or in this case 3.14*d. all you have to do is plug in 10 into the formula and get 3.14*10= 31.4 in^2

adding and subtracting polynomials

Answers

Answer:

d - c = -10y^2 -y -10

Step-by-step explanation:

-7y^2 - 3y^2 = - 10y^2

3y- 4y = -1y or -y

-6 - 4 = -10

Answer:

-10y^2 - y - 10

Step-by-step explanation:

First put them in order:

(-7y^2+3y-6)-(3y^2+4y+4)

Then distribute the negative to the second set of parentheses:

-7y^2+3y-6-3y^2-4y-4

Then simplify leaving you with the answer

-10y^2 - y - 10

next question
what is 5+5x245x100-150x10000000000?

Answers

Answer:

cant get an exact answer this is the best ur gonna get 3.675e+17

Step-by-step explanation:

This is urgent, please answer!

Anna cuts four identical circles from a square piece of a black poster as shown.

What is the area of the leftover poster board?
Use 3.14 for Pi


A. 3.44 square feet
B. 6.58 square feet
C. 12.56 square feet
D. 12.86 square feet

Answers

I think its C) bc you would take 3.14 x4= 12.56

True or False? The mapping N(t), whose mapping diagram is shown below is a function.

Answers

Answer:true

Step-by-step explanation:if there are more than one arrow coming from the x value which is the one to the left then it would be false .It doesn't matter if there are multiple arrow on the y values tho. Which is the one to the right.


The height of an object seconds after it is launched is modeled by the function h(t)=-4t^2+16t+180. When will the object hit the ground?

Answers

Answer:

9 seconds after the object is launched

Step-by-step explanation:

The function models the height of the object as a function of the time after the object is launched. Therefore h(t) will be zero, and you will solve for t like a normal quadratic equation.

0 = -4t² + 16t + 180

First, you can factor out the -4 from all the terms.

0 = -4(t² - 4t - 45)

Next, factor what is inside the parentheses

0 = -4 (t + 5) (t - 9)

Then you set each of the factors individually to zero and solve

t + 5 = 0 and t - 9 =0

From this we get that time is:

t = -5 and t = 9

Now that time cannot be negative, we figure out that the time is 9 seconds, therefore the object will hit the ground after 9 seconds.

Which statement about the scenario represented in the table is true? Assume time is the independent variable

Answers

Answer:B

Step-by-step explanation:

Answer: B on edg 2020

Step-by-step explanation:

11. Solve: K + 5 < -3

Answers

Answer:

[tex]k < -8[/tex]

Step-by-step explanation:

Step 1:  Subtract 5 from both sides

[tex]k + 5 < -3[/tex]

[tex]k + 5 - 5 < -3 - 5[/tex]

[tex]k < -8[/tex]

Answer:  [tex]k < -8[/tex]

Answer:

K < -8

Step-by-step explanation:

K + 5 < -3

Subtract 5 from each side

K + 5-5 < -3-5

K < -8

a rectangular prism has a surface are of 3310 square inches. if the rectangular prism has a length of 15 inches and width of 32 inches.what is the height in inches

Answers

Answer:

25

step by step explanation:

mac has 11 different pictures to chose from. How many different arrangements can he make if he only uses 5 of the pictures?

Answers

Answer:

55440 different arrangements

Step-by-step explanation:

The answer is:

11 x 10 x 9 x 8 x 7

Which is equal to 55440 different arrangements

Support me by marking my answer as brainiest

Mac can create 55,440 different arrangements by using 5 out of his 11 pictures, calculated using the permutation formula P(11, 5).

The question asks how many different arrangements Mac can make using 5 out of 11 different pictures. To calculate this, we use the concept of permutations which is given by the formula P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items to arrange.

In this case, Mac has 11 pictures (n = 11) and wants to arrange 5 of them (r = 5). Thus, the number of arrangements (permutations) can be found by the calculation: P(11, 5) = 11! / (11-5)! = 11! / 6!, which equals 11 x 10 x 9 x 8 x 7 = 55,440 different arrangements.

Twice a number is equal to negative four. Which equation could be used to find the number?
2 n = 4
2 n = -4
2 n - 4
2 n = -4 n

Answers

Answer:

2n=-4

Step-by-step explanation:

Let he number be n

N×2=-4

Further explanation

If we are to solve

Divide both sides by 2

n=-2

Answer:

2n=-4

Step-by-step explanation:

Make sure to give the other person brainliest!

The scores on the verbal section of the Graduate Records Examination (GRE) are approximately normally distributed with a mean of 150 and a standard deviation of 8.5. What is the probability that a randomly selected score on the verbal section is higher than 165?

Answers

Answer:

0.039

Step-by-step explanation:

There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165

What is z score?

The z score is used to show by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that mean of 150 and a standard deviation of 8.5. Hence:

For x > 165

z = (165 - 150)/8.5 = 1.76

P(z > 1.76) = 1 - P(z < 1.76) = 1 - 0.9606 = 0.0394

There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165

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A figure has two sets of congruent sides and two sets of parallel sides.

Answers

A parallelogram is a quadrilateral with opposite sides parallel. The first figure above is a parallelogram. ... A rectangle is a quadrilateral because it has four sides, and it is a parallelogram because it has two pairs of parallel, congruent sides. All four angles are right angles.

Answer:

parallelogram

Step-by-step explanation:

PLEASE HELP URGENT ! Find the value of each expression. Then, complete the inequality statement. -1/4) -2/5 __ - 5/6 ÷1/8 < > =

Answers

Answer:

>

Step-by-step explanation:

I had this question once sorry i'm late but -1/4) -2/5 = 1/10 , - 5/6 ÷1/8 = -6 and a fraction I keep forgetting so( -1/4) -2/5  > - 5/6 ÷1/8 )

What is the gcf 12x^5 8x^3

Answers

Answer:

So, the GCF of 12x^5 and 8x^3 is 4x^3.

Step-by-step explanation:

To find the greatest common factor (GCF) of 12x^5 and 8x^3, you can break down each term into its prime factors and then identify the common factors:

12x^5 = 2^2 * 3 * x^5

8x^3 = 2^3 * x^3

Now, identify the common factors is this :

The common factor of 2^2 (4) and 2^3 (8) is 2^2 (4).

The common factor of x^5 and x^3 is x^3.

So, the GCF of 12x^5 and 8x^3 is 4x^3.

Final answer:

The GCF of 12x^5 and 8x^3 is 4x^3.

Explanation:

The GCF (Greatest Common Factor) of 12x^5 and 8x^3 can be found by factoring out the common factors of the two terms. In this case, the common factor between the two terms is 4x^3.

To find the GCF, we need to find the highest power of x that can be divided into both terms: 12x^5 and 8x^3. Since 4x^3 is the highest power of x that can be divided into both terms, it is the GCF.

Therefore, the GCF of 12x^5 and 8x^3 is 4x^3.

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Can u show me how to simply this step by step please? This is very important. HELP!!!!!

Answers

Given:

[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]

To find:

The simplified expression.

Solution:

[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]

Apply the fraction rule: [tex]\frac{\frac{y}{z}}{x}=\frac{y}{z \cdot x}[/tex]

[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}=\frac{a^{2}-b^{2}}{a b\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]  ------------ (1)

Let us simplify [tex]\frac{1}{b}-\frac{1}{a}[/tex].

LCM of a and b = ab

Adjacent fraction based on the LCM

[tex]\frac{1}{b}-\frac{1}{a}=\frac{a}{a b}-\frac{b}{a b}[/tex]

         [tex]=\frac{a-b}{a b}[/tex]

Substitute this in equation (1).

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

Common factor ab get canceled.

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

Apply the algebraic formula: [tex]x^{2}-y^{2}=(x+y)(x-y)[/tex]

         [tex]$=\frac{(a+b)(a-b)}{a-b}[/tex]

Cancel the common factor a - b, we get

         [tex]=a+b[/tex]

The simplified expression is a + b.

The perimeter of the following figure is 18.6 inches. What is the length of n?

Answers

Given:

Perimeter of the figure = 18.6 inches

To find:

The length of n.

Solution:

Perimeter of the figure = 18.6 inches

Perimeter = Sum of the sides

3 + 6.3 + 4.5 + n = 18.6

13.8 + n = 18.6

Subtract 13.8 from both sides.

13.8 + n - 13.8 = 18.6 - 13.8

n = 18.6 - 13.8

n = 4.8

The length of n is 4.8 inch.

825 grams of almonds for 23.41 (Find the price per 100g)

Answers

Answer:

2.83

Step-by-step explanation:

this is the approach i would take to solve this;

take the amount of money the almonds are and divide how many grams that would consist of

23.41 / 825 =

0.02837576 this is the price for 1 gram of almonds.

take this number and multiply by 100 to find how much 100g would cost.

0.0283 * 100 = 2.83

the price of 100 grams is 2.83

i hope this helped you!

:)

The price per 100 grams of almonds is 2.837 when dividing the total cost of 23.41 by the weight of 825 grams and then multiplying the result by 100.

To find the price per 100 grams of almonds, we will first need to calculate the cost per gram and then multiply it by 100 to get the cost for 100 grams. Here is how you can do it:

Divide the total cost by the total weight in grams to get the price per gram. Price per gram =
23.41 / 825 grams.Multiply the price per gram by 100 to get the price per 100 grams. Price per 100 grams = (Price per gram)
* 100.

Let's calculate it step-by-step:

Price per gram = 23.41 / 825 = 0.02837 (rounded to 5 decimal places).Price per 100 grams = 0.02837
* 100 = 2.837.

Therefore, the price per 100 grams of almonds is 2.837.



Find the area of the circle if r = 5 meters. Leave the answer in terms of π.

A) A =100π square meters
B) A =25π square meters
C) A = 5π square meters
D) A = 10π square meters

Answers

Hope this will help u...

4 1/2+ 1 1/3 + 6 1/3=

Answers

Answer:

44/1/2

Step-by-step explanation:

A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere?

Answers

Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

[tex]V=\pi r^2h[/tex]

Substitute the given values.

[tex]48=\pi r^2r[/tex]   (since r = h)

[tex]48=\pi r^3[/tex]

[tex]48=3.14 \times r^3[/tex]

Divide by 3.14 on both sides.

[tex]$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}[/tex]

[tex]$15.28=r^3[/tex]

Taking cube root on both sides, we get

2.48 = r

The radius of the cylinder is 2.48 cm.

Sphere and cylinder have same radius and height.

Volume of sphere:

[tex]$V=\frac{4}{3} \pi r^3[/tex]

[tex]$V=\frac{4}{3} \times 3.14 \times (2.48)^3[/tex]

[tex]V=63.85[/tex]

The volume of the sphere is 63.85 cm³.

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