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svp [43]
3 years ago
11

Can anyone help me solve this question

Mathematics
1 answer:
Arisa [49]3 years ago
8 0

9514  1404 393

Answer:

  • a=2√2+4
  • b = 3

Step-by-step explanation:

  √24 = 2√6

  √48 = 4√3

Then the sum is ...

  √24 +√48 = 2√6 +4√3

Factoring out √3, we have ...

  = (2√2 +4)√3

Matching this to the form a√b, we have

  (2√2+4)√3   ⇒   a=2√2+4, b = 3

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A bag contains purple marbles and white marbles, 68 in total. The number of purple marbles is 4 less than 5 times the number of
galina1969 [7]

Answer: 56 purple marbles.

Step-by-step explanation:

Let be "p" the number of purple marbles in the bag and "w" the number of white marbles in the bag.

You can set up the following System of equations:

\left \{ {{p+w=68} \atop {p=5w-4}} \right.

You can use the Substitution method to solve the System of equations. The steps are shown below:

1. You need to substitute the second equation into the first equation:

(5w-4)+w=68

2. Now you must solve for "w":

5w-4+w=68\\\\6w-4=68\\\\6w=68+4\\\\6w=72\\\\w=\frac{72}{6}\\\\w=12

3. Substitute the value of "w" into second original equation and then evaluate in order to find the value "p":

p=5(12)-4\\\\p=60-4\\\\p=56

3 0
3 years ago
The revenue, in dollars. of a company that produces video game systems can be modeled by the expression 52 +
gtnhenbr [62]

Answer:

1). Profit = 3x - 180

2) Profit of selling 1000 video games = $2820

Step-by-step explanation:

Expression for the revenue = 5x² + 2x - 80

Expression for the production cost of the video games = 5x² - x + 100

Since, profit is the difference between the revenue and the cost,

Expression for the profit will be,

Profit = Revenue - Cost

         = (5x² + 2x - 80) - (5x² - x + 100)

         = 5x² + 2x - 80 - 5x² + x - 100

         = 3x - 180

Here, x = Number of video games sold

If number of video games sold = 1000

Profit = (3×1000) - 180

         = 3000 - 180

         = $2820

8 0
3 years ago
What is the volume rounded to the nearest tenth of the largest sphere that can fit inside of the box ?
RSB [31]

Answer:

36 cubic units.........................

3 0
3 years ago
At a fair, the Pick-A-Duck game has 55 ducks to choose from, but only 11 of the ducks will win a prize.
zvonat [6]
Probablity=desiredoutcomes/totalpossible

desired=prize=11
total possible=55
so probblity is 11/55 or 1/5

answer is C
4 0
3 years ago
Read 2 more answers
when a 6-foot tall fence post castes a 10 foot shadow, a pine tree castes a 45 foot shadow how tall is the tree
ipn [44]

Answer:

27 FEET TALL

Step-by-step explanation:

If a 6 foot fence casts a 10 foot shadow then you need to find the ratio 6/10. (This is my method) Now you are trying to find the numerator for  X/45.. you need to find what number equals .6 you can use Symbolab as a calculator I typed 6/10 = X/45 and I got 27.

4 0
3 years ago
Read 2 more answers
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