You can make groups of 3, 4, or 9 pencils with none left over. What is smallest number of pencils you must have to make these groups?

Answer: [tex]\frac{13}{24}[/tex]

Step-by-step explanation: 11/12 - 3/8

1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64, 72

2. Next, we will choose the smallest common multiple. That would be 24.

3. Now, we will work this out.

11/12 = 22/24

3/8 = 9/24

4. Subtract.

22/24 - 9/24

= 13/24

= [tex]\frac{13}{24}[/tex]

I found the denomenators by multiplying.

Hope this answer helped!

Answer:

y=sin2x+3

Step-by-step explanation:

Answer: 6 pages

Step-by-step explanation: 2 1/3 + 3 3/4 = 6

Answer:

pretty sure its the 4th on reflection and rotation,

Step-by-step explanation:

I haven't done these in a while, but am 90 % sure

Answer:

D, Reflection and Rotation.

Step-by-step explanation:

Refelction is taking an image and flipping it (so it's backwards), and roation is turning it.

-process of elimination:

-must be reflected

-leaves 2 answers

-translation means just moving something

-it's D

Answer:

14

Step-by-step explanation:

The diameter is always the same as 2*the radius, so if the radius is 7, the diameter is 14.  Most of the information presented is unrelated.

Answer:

x=3

Step-by-step explanation:

i just know

Answer:

f(- 3) = - 14

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x), that is

f(- 3) = (- 3)³ + 2(- 3)² - 5 = - 27 + 2(9) - 5 = 27 + 18 - 5 = - 14

Answer:

1890 is the least common factor

Answer:

for 30 its Prime factorization of 30 = 2 × 3 × 5. Using all prime numbers found as often as each occurs most often we take 2 × 2 × 3 × 5 = 60. Therefore LCM (12,30) = 60.

for 42 its 42 and 54 is 378.

for 54 its The prime factorization of 54 is: 2 x 3 x 3 x 3. The prime factorization of 72 is: 2 x 2 x 2 x 3 x 3. Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(54,54) = 2

Step-by-step explanation:

Answer:

its the first one I think

Step-by-step explanation:

Answer: the first one

      the third one and the last  one             hope this helps

Step-by-step explanation:

Answer:

D!

Step-by-step explanation:

We need to obviously subtract, only C and D do thatt. But, you don't multiple t or 28 by 4. You need to multiply the difference, so you need parentheses!

Answer:

A) $0.45 per oz

B) $3.51

Step-by-step explanation:

4.14/9.2 = 0.45

0.45 x 7.8 = 3.51

Answer:

greater than

Step-by-step explanation:

positive is higher than negative

Answer:

1.w+15=165

2.w equals 165 multiplied by 15

Step-by-step explanation:

There's really no step-by-step explanation  its pretty simple.

Answer:

20

Step-by-step explanation:

if you are given 25 that rtn 10 would be 30 but you have given me a number lover than that so that would be 20

Answer:

20*15=300

He earned $300

Answer:

y−7=2/3⋅(x-5)

Step-by-step explanation:

Find the point-slope form.

Answer:

5/36

Step-by-step explanation:

Answer:

3.33m/s

Step-by-step explanation:

The perimeter of a rectangle is

= 2(L + W)

L = 500m

W = 200m

= 2(500 + 200)

= 2(700)

= 1400m

If it takes Rebekah 420 s to run the entire perimeter of her property.

Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time

= 1400m/420s

= 3.3333333333 m/s

Approximately = 3.33m/s

Answer:

this is hard..

Step-by-step explanation:

i tjhink it 109?

Answer:

Jim is correct

Step-by-step explanation:

A survey of 100 people found that 35 people exercise in the morning,45 people exercise in the afternoon,and 20 people exercise at night.

People who exercise in the morning = 35

= 35/100 = 7/20

Hence, the ratio is 35:100

People who exercise in the afternoon = 45 = 45/100 = 9/20

the ratio is 45:100

People who exercise at night = 20

= 20/100 = 1/5

= The ratio is 20:100

The possible ratios from this date are : 35:100,45:100,and 20:100

Jim is correct

f^-1(x) = 1/8x+1 (an inverse power is the reciprocal of the function raised to the indicated value)

Answer:

(x+1)/8 = f^-1(x)

Step-by-step explanation:

switch x and y (aka f(x) )

x=8y+1

solve for your new y

(x+1)/8 = y

Answer:

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

Step-by-step explanation:

At first we need to calculate the vector distance between [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex] by following vectorial subtraction:

[tex]\overrightarrow{AB} = \vec B - \vec A[/tex] (Eq. 1)

Where:

[tex]\overrightarrow{AB}[/tex] - Vector distance between points A and B, dimensionless.

[tex]\vec A[/tex], [tex]\vec B[/tex] - Vector distance between each point and origin, dimensionless.

If we know that [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex], then we have the following result:

[tex]\overrightarrow {AB} = (-10,16)-(2,4)[/tex]

[tex]\overrightarrow{AB} = (-10-2,16-4)[/tex]

[tex]\overrightarrow{AB} = (-12,12)[/tex]

Besides, we can find the location of any point inside the line segment by using the following vectorial equation:

[tex]\vec C = \vec A + r\cdot \overrightarrow{AB}[/tex] (Eq. 2)

Where:

[tex]r[/tex] - Segment factor, dimensionless.

[tex]\vec C[/tex] - Location of resulting point, dimensionless.

There are two different options for the location of resulting point: [tex]r_{1} = \frac{1}{4}[/tex] and [tex]r_{2} = \frac{3}{4}[/tex]. Now we proceed to find each option:

[tex]r_{1} = \frac{1}{4}[/tex]

[tex]\vec C_{1} = (2,4) +\frac{1}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{1} = (2,4)+(-3,3)[/tex]

[tex]\vec C_{1} =(-1,7)[/tex]

[tex]r_{2} = \frac{3}{4}[/tex]

[tex]\vec C_{2} = (2,4) +\frac{3}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{2} = (2,4) +(-9,9)[/tex]

[tex]\vec C_{2} = (-7,13)[/tex]

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

Answer:

1.5/5 or 1 1/2/5

B: 3/10

Step-by-step explanation:

2.5/5  is the whole part of pizza with pepperoni. So 1/5 subtracted from 2/5/5 is 1.5 The remaining part of the pizza with pepperoni is 1.5/5!

1.5/5 is 0.3

3/10=0.3!

Answer:

26. 1/2

27. 1/4

28. 25

29. 20

Answer:

26) 50% or 1/2   27) 25% or 1/4   28) 25 times   29) 20 times

Step-by-step explanation:

26) A is divided in half of the pie graph, where B and C make up the other half, but you are only concerned about A, so it is half of 100%. 100% / 2 = 50%

27) B and C make up the other half of the pie chart. B is half of the half, so that means (1/2) / 2 or (1/2)*(1/2) which equals 1/4. 1/4 times 100 = 25%.

28) From question 26, you are expected to land on A 50% of the time. So 50% of 50 times is equal to 25 times. 50% of something is equal to 1/2 of something, so you divide 50/2 or multiply 50 * (1/2)

29) From question 27 B and C make up the other half of the pie chart. If B is 1/2 of 1/2, so is C, meaning that you have an equal chance of landing C as you have a chance of landing on B - 25% or 1/4. If you spin 300 times, you calculate 25% or 1/4 of 300. To do that you either multiply 300* (1/4) or do 300 / 4.

Answer:

Pythagoras believed that numbers were not only the way to truth, but truth itself. Through mathematics, one could attain harmony and live an easier life. He is said to have proposed a number of mathematical theorems to this end but, of all these, only the famous Pythagorean Theorem remains.

Step-by-step explanation:

Answer:

154/350 = n/100

n = 0.51333 or 51.333% (I don't know what decimal your class rounds to but it is 3 repeating)

Jay won 51.333% of the solitaire games he played. Hope this helps!!

Step-by-step explanation:

Answer:

b) c + 0.35c − 10

Step-by-step explanation:

Answer:

÷3

Step-by-step explanation:

90÷3 = 30

30 ÷ 3 = 10

10 ÷ 3 = 3.33

Answer:

the answer is 45 if its is what you need

Step-by-step explanation:

i got 100 on test and had that question