1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaK [193]
3 years ago
15

Mia needs to separate 270 blue pens and 180 red pens into packs. Each pack will have the same number of blue pens and the same n

umber of red pens. What is the greatest number of packs she can make? How many red pens and how many blue pens will be in each pack?
Mathematics
2 answers:
fredd [130]3 years ago
5 0
The greatest number of packs is gonna be the GCF of 180 and 270, which is 90 packs.

270/90 = 3
180/90 = 2

so Mia can make 90 packs each pack containing 3 blue pens and 2 red pens
sammy [17]3 years ago
3 0

Answer:

3 blue pens and 2 red pens in each pack.

90 packs.

Step-by-step explanation:

We have been given that Mia needs to separate 270 blue pens and 180 red pens into packs. Each pack will have the same number of blue pens and the same number of red pens.

To solve our given problem, we will find greatest common factor of 270 and 180.    

Factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.

Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.

We can see that GCF of 180 and 270 is 90, therefore, Mia can make 90 packs.

\text{Blue pens in each pack}=\frac{270}{90}=3

\text{Red pens in each pack}=\frac{180}{90}=2

Therefore, there will be 3 blue pens and 2 red pens in each pack.

You might be interested in
TV−→− bisects ∠RTS. If the m∠RTV=(16x−6)° and m∠VTS=(13x+9)° , what is the value of x and the m∠RTV ?
natta225 [31]

Answer:

x = 5

RTV = 74

Step-by-step explanation:

Given

RTV=16x - 6

VTS=13x+9

Required

Determine the values of x and RTV

Since, TV is a bisector, then

RTS = RTV + VTS --- (1)

and

RTV = VTS -- (2)

Substitute values of RTV and VTS in (2)

16x - 6 = 13x + 9

Collect Like Terms

16x - 13x = 9 + 6

3x = 15

Solve for x

x = 5

Substitute 5 for x in RTV=16x - 6

RTV = 16 * 5 - 6

RTV = 80 - 6

RTV = 74

8 0
3 years ago
The line with equation −a+3b=0 coincides with the terminal side of an angle θ in standard position and sinθ<0 .
Anna11 [10]
If a is the variable of the horizontal axis, then you can solve for b to get the equation of the line in slope-intercept form in the a,b plane:

-a+3b=0\implies b=\dfrac a3

i.e. a line with slope \dfrac13 through the origin, which means it is contained in the first and third quadrants. Since the terminal side of \theta has a negative sine, the angle must lie in the third quadrant.

Because the slope of the line is \dfrac13, you can choose any length along the line to make up the hypotenuse of a right triangle with reference angle \theta. Any such right triangle will have \tan\theta=\dfrac13, regardless of whether the angle is the first or third quadrant. But since \theta is known to lie in the third quadrant, and so \sin\theta and \cos\theta are both negative, you have

\tan\theta=\dfrac{\sin\theta}{\cos\theta}=\dfrac13\implies \dfrac{\sin\theta}{\cos\theta}=\dfrac{-1}{-3}\implies \cos\theta=-3
6 0
3 years ago
Read 2 more answers
Need help please. Kind of confused
muminat
What you do is look at the graph and whatever that line is on then that will be your answer.
7 0
3 years ago
Read 2 more answers
Which equation should you solve to find x?
devlian [24]

the answer is B ........

3 0
2 years ago
Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100 rotations of the wheel. She wants
Fantom [35]
Answer: 800pi inches

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

Explanation:

The formula to find the circumference of a circle is
C = pi*d
where
C = distance around the circle (aka circumference)
pi = 3.14 approximately
d = diameter

We know that the diameter of the wheel is d = 8, so 
C = pi*d
C = pi*8
C = 8pi
is the circumference of the wheel

One full rotation will have the wheel cover a distance of 8pi inches. Imagine that wet paint is on the outer surface of the wheel. If the wheel is rolled out in a straight line, then the wet paint would cover a linear distance of 8pi inches along the flat ground. This is one full rotation, so 100 rotations covers 100*8pi = 800pi inches

Note: if we use pi = 3.14 as the approximation, then the hamster ran approximately 800*pi = 800*3.14 = 2512 inches if the wheel could move
5 0
3 years ago
Read 2 more answers
Other questions:
  • In a sale there is 30% off a pair of jeans. The sale price is £56. What was the price before the sale ?
    10·1 answer
  • How many 5 card hands contain exactly 2 queens
    9·1 answer
  • What is 10000 times greater than 7
    11·1 answer
  • 63 is 70% of what number
    5·2 answers
  • The volume of a model of a puzzle cube is 110,592 cubic inches. It is made up of 27 smaller cubes. What is the length of one sid
    12·1 answer
  • Please help. Brainliest.
    12·2 answers
  • What is 4.156 - 0.34 in Simplify the following expression.
    13·2 answers
  • Help please help. Need answer ASAP. 15 points. Help help help.
    14·1 answer
  • What is the amount of sales tax owned in a $39 jacket if the tax rate is 5%
    14·1 answer
  • What is the sum of the measuers of the extoir angles of any convex poloygon
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!