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
Nady [450]
3 years ago
6

John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs

to maintain a ratio of pumpkin to green beans of 5 to 2. If he wants to use a total of 140 cans, how many cans of green beans should he use? A. 38 cans B. 40 cans C. 22 cans D. 7 cans
Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0
This is a part:part ratio. to solve it we need to convert it into a part:whole ratio. we do this by adding the parts. the ratio of pumpkin cans to total cans is 5:7. 140/7=20. 20x5=100. 20x2=40. The answer is B. 40 cans.
You might be interested in
A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square
kondaur [170]
This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

V = xxy = x^{2}y

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:

Surface area of the square base = x^{2}

Surface area of the rectangular sides = 4xy

Therefore, the total area of the cube is:

A = 48 ft^{2} =  x^{2} + 4xy

Isolating the variable y in terms of x:

y =  \frac{48- x^{2} }{4x}

Substituting this value in V:

V =  x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

\frac{dv}{dx} = 48-3x^{2} =0

Solving for x:

x =  \sqrt{\frac{48}{3}} =  \sqrt{16} = 4

Solving for y:

y =  \frac{48- 4^{2} }{(4)(4)} = 2

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ft
Width =  4 ft
Height = 2 ft

And its volume is:

V = (4^{2} )(2) = 32 ft^{3}

8 0
3 years ago
Please help with homework
erica [24]

Answer:

81

Step-by-step explanation:

7 0
3 years ago
How do I do linear equations using the elimination method
nexus9112 [7]
In order to use the elimination method<span>, you have to create variables that have the same coefficient—then you </span>can eliminate<span> them. Multiply the top </span>equation<span> by 5. Next add the </span>equations<span>, and </span>solve<span> for y. Substitute y = 10 into one of the original </span>equations<span> to find x.</span>
8 0
3 years ago
Find the unknown sizes of angles in the following figure:​
8090 [49]

Answer:

angle x is 86

angle y is 38

Step-by-step explanation:

7 0
3 years ago
2x^2+13x=0 quadratic formula
krek1111 [17]
The answer is x = 0, -13/2
7 0
3 years ago
Other questions:
  • In how many different ways can 5 books be arranged on a shelf?
    15·1 answer
  • Find the area of a circle whose radius is 12 in. Round to the nearest tenth
    9·2 answers
  • How to Simplify. (–21 × 3) + (15 ÷ –3)
    9·1 answer
  • (-9,7),(9,1) What is the​ point-slope form of the equation of the​ line?
    5·1 answer
  • Fill out the ratio table boys 20 and girls 120
    8·1 answer
  • Ashley, Frank, and Chang sent a total of 73 text messages over their cell phones during the weekend. Frank sent 7 more messages
    10·1 answer
  • X-2&gt;2x+12 <br> solve for x
    9·1 answer
  • Which pair of fractions is equivalent to this pair?
    13·1 answer
  • Heres 5 freepoints to the first 2 dedicated people that r stll wake
    8·2 answers
  • The figure below is a rectangular prism.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!