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
valentina_108 [34]
3 years ago
14

There is $500 in each of three envelopes. The first envelope contains only $10 bills, the second envelope contains only $20 bill

s, and the third envelope contains only $50 bills. One bill is taken out of one of the envelopes, two bills are taken out of another envelope, and three bills are taken out of the remaining envelope (in any order). What is the least possible amount, in dollars, that can be taken out?
Mathematics
2 answers:
GREYUIT [131]3 years ago
5 0

Answer:

order:

-3 bills from first envelope (-30 dollars)

-2 bills from second envelope (-40 dollars)

-1 bill from third envelope (-50 dollars)

total least possible amount that can be taken out: 120

Step-by-step explanation:

Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.

melamori03 [73]3 years ago
5 0

Answer:

$120

Step-by-step explanation:

So this question isn't hard either

We can cross out excess information and just find the main points.

a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills

b. 1-3 bills are taken out of each envolope

c. It wants you to find the <u>least</u> possible amt. that could have been token out.

So since we want the least, we must take the smallest out of the largest

In order, 1 from 50 (largest)

2 from 20 (middle)

and 3 from 10 (smallest)

this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120

Thus, we have our answer 120

<u>Hope this helps!</u>

You might be interested in
the temperature of an oven went through 330 degrees to 390 degrees what is the percentage increase in temperature
valentina_108 [34]
All you do is divide. 
330/390= 0.846
round it: 0.85 
Answer is about 85%
5 0
3 years ago
5/6+2i<br><br><br>Aka<br><br><br> 5<br><br>___<br><br>6+2y<br>Ignore my answer its probably wrong
liberstina [14]

Answer:

   (3/4) -(1/4)i

Step-by-step explanation:

Your answer is correct.

\dfrac{5}{6+2i}=\dfrac{5(3-i)}{2(3+i)(3-i)}=\dfrac{5(3-i)}{2(9+1)}\\\\=\dfrac{3-i}{4}=\dfrac{3}{4}-\dfrac{1}{4}i

8 0
3 years ago
Select all the statements that are true for the graph shown.
Yuki888 [10]

Answer:

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Step-by-step explanation:

The line in the question passes through origin and (4,-12).

The rate of change of the line is

m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3

The rate of change of the line or slope of the line is -3

Equation of the line is given by

(y-0)=-3(x-0)\\\Rightarrow y=-3x

This means that the relationship is linear.

If we take any value of x then there will be only one value of y this means that the relationship is proportional.

So the following statements are true

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

3 0
3 years ago
Read 2 more answers
The graph shows the relationship between the total cost and the number of erasers bought at the student store. Which statement i
alekssr [168]
Each eraser will cost u 50 cents

so 7 erasers will cost (7 * 0.50) = 3.50 <==
3 0
3 years ago
Read 2 more answers
Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 174 i
Leya [2.2K]

Answer:

The square-based box with the greatest volume under the condition that the sum of length, width, and heigth does not exceed 174 in is a cube with each edge of 58 in and a volume of 195112 in^{3}

Step-by-step explanation:

For this problem we have two constraints, that are as follows:

1) Sum of length, width, and heigth not exceeding 174 in

2) Lenght and width have the same measure (square-based box)

We know that volume is equal to the product of all three edges, and with the two conditions into account we have the next function:

V=(w^{2})(174-2w)\\V=174w^{2}-2w^{3}

The interval of interest of the objective function is [0, 87]

This problem requieres that we maximize the function that defines the volume. We start calculating the derivative of the function, wich is:

V'=348w-6w^{2} \\V'=(348-6w)(w)

We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.

So we find the value in wich the derivative equals zero:

0=(348-6w)(w)\\w_1=0\\w_2=348/6=58

The first value (w=0) will leave us with a 'height-only box', so the answer must be w=58 in

The value is between the interval of interest.

And, once we solve for the constraints, we have that:

Lenght = Width = Heigth = 58 in

Volume = 195112 in^{2}

8 0
3 years ago
Other questions:
  • There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (Round to nearest tenth)
    7·2 answers
  • If there are 40 reps in 3 states, and state 1 has 13, and state 2 has twice as many as state 3, how many reps does state 2 have?
    7·1 answer
  • you have a coupon for 10% off a dvd that cost $15. if a tax of 8% is charged on the orginal amount, what will you pay for the DV
    8·1 answer
  • A rectangle had a length of 2x-7 and a with of 3x+8y. Write and simplify an expression for the perimeter of that rectangle?
    10·1 answer
  • Geometric Sequence♡<br><br>5, -2, 4/5<br><br>the common ratio was 2/5<br><br>find the 10th term​
    5·1 answer
  • What is 2 2/3 plus 8 3/4
    9·1 answer
  • PLS HELP ASAP WILL GIVE BRAINLEAST
    10·1 answer
  • If y varies directly as x, and y =6 when x =10, find x when y=18
    15·1 answer
  • Find the equation of the exponential function represented by the table below
    8·2 answers
  • (x + 3)2 - 13 = 9x adratic equa- е ots​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!