Use backtracking to find a subset, if it exists, of the set {27, 24, 19, 14, 11, 8} with sum:a) 20
b)60

Answers

Answer 1

Answer: Its A. 20 because most of the numbers in the set are closest to 20 or a little below 20

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The volume of cube is 343 cubic centimeters. what is the surface area of the cube? show your work.

Answers

In short, the surface area of the cube is 294cm^2.

To find volume of a cube, a side is multiplied by itself three times. So, we have this so far, let "s" equal a side of the cube... s*s*s or s^3 = volume. But, we have to work backwards to find s. We know the volume is 343 cm^3 and we know to find volume we take a side and multiply it by itself three times, also known as cubing a side.

So, s^3 = 343 cm^3. To find what one s equals, we have to take the cube root of 343. A cube root is the opposite of cubing a side and that's why it works.

Basically, we're trying to find what number times itself three times will equal 343. A cube root of 343 will tell us the answer. So, once we cube root 343, we get 7. This means that 7 is one s or the side length of the cube. Remember, a cube has all equal sides, so 7 is the side lengths for the whole cube.

Now, to find surface area of a cube, the formula is 6*s^2. This means that the side is squared times six. We already know what the side is, 7, and order of operations, PEMDAS, tells us that exponents come before multiplication. So, we have 7^2 which is 49 times 6. 49 * 6 = 294. Hope this helped!

It takes Gary 1 hour to milk all the cows, and it takes Dana 1.5 hours. How long will it take them to do the job together? Please explain all the steps and models/equations used. Thanks so much.

Answers

It takes Gary 1 hour to milk all the cows. 1 hour per job ==> 1 job per hour.

It takes Dana 1.5 hours. 1.5 hour per job ==> 1/1.5 job per hour.

Working together, they can do (1/1 + 1/1.5) job per hour.

To add these fractions, put them over a common denominator:

(1/1 + 1/1.5) = (1.5/1.5 + 1/1.5) = (2.5/1.5) = 5/3 job per hour.

5/3 job per hour ==> 3/5 hour per job.

3/5 hour = 36 minutes.

HELP ASAP!!!!
How do I write the product of a and 4.3?

Answers

The answer is: a x 4.3

Answer:

4.3a

Step-by-step explanation:

product means to multiply

hope this helps

The running time for movie A is 33 mins more than twice the running time for movie B. If the running time for movie A is subtracted from triple the running time for movie B, the result is 57 mins. find the running time for each movie..Movie A-
Movie B-

Answers

X is the running time for movie A and y the running time for movie B
X = 2y + 33
3y - × = 57
x- 2y = 33
-× + 3y = 57 => y = 90
=> x 33 + 180 = 213

use what they tell you to create the equations

a=33+2b & 57=3b-a

for this to work we need to substitute a variable to get rid of it.
look at
57=3b-a (lets switch it around s that the equation reads "a=")
57+a=3b
a=3b-57 (this is our new equations)

so now we know that
a=33+2b & a=3b-57
so we can write 33+2b=3b-57. we have now "gotten rid" of "a"

SOLVE FOR B

33+2b=3b-57 (get variable alone)
33= 3b-2b-57 (subtract and add accordingly)
33= b-57
33+57=b
90=b (this means that movie b is 90 long)

SOLVE FOR A

you can plug "b" into any of the original equations.

a=33+2b
a=33+2(90)
a=33+180
a=213

CHECK

plug "a" into any of the original equations to find "b" if b=90 then you know you've done it right

213=33+2b
213-33=2b
180=2b
180/2=b
90=b

hope this helps :)

A necklace has and matching bracelet have two types of beads. The necklace has 12 large beads and 8 small beads and weighs 88 grams. The bracelet has 5 large beads and 2 small beads and weighs 25 grams. Write and solve a system of equations to find the weight of a large bead and weight of a small bead.