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
laiz [17]
2 years ago
15

Jacob baked 42 sugar cookies and 30 oatmeal cookies to package for his friends at school. He wants to package the cookies into i

dentical containers so that each container has the same number of cookies. If he uses all of the cookies, what is the greatest number of containers he needs?
Mathematics
1 answer:
wolverine [178]2 years ago
8 0

Answer:

6

Step-by-step explanation:

Given the following :

Number of sugar cookies = 42

Number of Oatmeal = 30

To package the cookies into identical containers so that each container has the same number of cookies with no left over ;

We find the greatest common factor of 42 and 30

Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42

Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30

The greatest common factor = 6

You might be interested in
WILL MAKE BRAINLIEST!!! A Ferris wheel has a diameter of 220 feet and the center of the wheel is 125 feet above the ground. The
daser333 [38]
Since the radius of a circle is half its diameter, the radius of our Ferris wheel is r= \frac{220}{2} =110ft

Next, we are going to convert from revolutions per minute to degrees per second.
We know that t<span>he wheel makes a complete turn every 2 minutes, so it makes a complete turn in 120 seconds. Since there are 360° in a complete turn, we can set up our conversion factor:
</span>\frac{1*360}{120}=3 degrees per second 
<span>
Now, lets find the height:
</span>We know that <span>the passenger is at the lowest point on the wheel when t=0; since the wheel is 125 feet above the ground, at t=0 h=125. To find t at the top, we are going to take advantage of the fact that the wheel will turn 180° from the lowest point to the top and that it turns 3° every second:
</span>t= \frac{180}{3}
t=60
Notice that the height at the top is the diameter of the wheel plus the height above the ground, so h=220+125=345.

To model the situation we are going to use the cosine function, but notice that cos (\alpha) is 1 when \alpha =0 and -1 wen \alpha =180. Since we want the opposite, we are going to use negative cosine.
Notice that we want \alpha =180 when t=60, so we are going to use -cos(3t). Next, we are going to multiply our cosine by the radius of our wheel: -110cos(3t), and last but not least we are going to add the sum of the radius of the wheel plus the height above the ground:
h=110+125-110cos(3t)
h=225-110cos(3t)

Now that we have our height function lets check if everything is working:
<span>the passenger is at the lowest point at t=0; we also know that the lowest point is 125 feet above the ground, so lets evaluate our function at t=0:
</span>h=225-110cos(3t)
h=225-110cos(3*0)
h=125 feet 
So far so good. 
We also know that at t=60, our passenger is 345 feet above the ground, so lets evaluate our function at t=60 and check if coincides:
h=225-110cos(3t)
h=225-110cos(3*60)
h=225-110cos(180)
h=345feet 

We can conclude that cosine function that express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes) ) is: h=225-110cos(3t)
8 0
3 years ago
What is the value of 2/3^-4
Reptile [31]

Answer:

\frac{16}{49}

Step-by-step explanation:

To solve problems like this, we need to multiply the base ,\frac{2}{3} , the amount of times as the exponent, 4.

Essentially, the equation is \frac{2}{3} x \frac{2}{3}  x \frac{2}{3}  x \frac{2}{3} .

The product would be \frac{16}{49}.

Now we can't forget that the exponent is a negative. But because the exponent is an even number, we don't need to worry about that.

Hope this helped :)

8 0
3 years ago
Help<br> help please please
Ahat [919]

Answer:

1. A

2. C

Step-by-step explanation:

I could be wrong, that's my best guess. Im so sorry if im wrong, have a good day

7 0
3 years ago
Answer the question on the image underneath
Nadya [2.5K]

Answer:

I think it's A. sorry if i'm wrong.

Step-by-step explanation:

8 0
3 years ago
How many degrees are in the corner of a rectangle
goblinko [34]
90 degrees
Each angle of a rectangle equals 90 degrees.
3 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE ANSWER THIS
    15·1 answer
  • Can you answer questions 71, and 72?
    9·1 answer
  • Help I need it badly!!<br> first answer brainliest!
    13·1 answer
  • You are planning a May camping trip to Denali National Park in Alaska and want to make sure your sleeping bag is warm enough. Th
    7·1 answer
  • Can someone please write 2x^2 + 16x + 35 in the form of a(x + b)^2 + c?
    9·1 answer
  • The figure below is a diagram of a trapezoidal table that needs to be stained. Each can of stain will cover 50 square inches.
    9·1 answer
  • Answer this quickly for me plz
    15·1 answer
  • Help me with this pls thank you
    11·1 answer
  • Evaluate each of the following when y=7
    8·1 answer
  • Please Help <br> Determine the period of the following graph.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!