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ivanzaharov [21]
3 years ago
13

Let k = 5.

Mathematics
1 answer:
morpeh [17]3 years ago
3 0
Given:  27-k · 2 = n

Solution: 27-5 ·2 = n
               22 · 2 = n

Answer: 44 option D
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Please only answer if your certain it will mean a lot I can give extra points or brain list if you like or a thanks please don’t
BigorU [14]

Answer:

Ms. Cortez earns 500 dollars for working 30 hours.  It's the last choice.

Step-by-step explanation:

You just have to substitute 30 into the equation in place of x, since x represents hours.

f(30) = 50 + 15(30)

f(30) = 50 + 450

f(30 = 500

3 0
3 years ago
2. Lisa can buy orange juice in 0.24-liter cartons or 0.48-liter cartons. Which is closest to the
aev [14]

Answer:

i think its 1.7 if this is correct can u mark me brainliest

Step-by-step explanation:

8 0
1 year ago
A cuboid with a volume of 924cm^3 has dimensions
Leona [35]

The values of x are -22 and 10

The dimensions are 4 cm , 11 cm , 21 cm

Step-by-step explanation:

The given is:

  • A cuboid with a volume of 924 cm³
  • It has dimensions  4 cm , (x + 1) cm and (x + 11) cm

We want to show that x² + 12x - 220 = 0, and solve the equation to find its dimensions

The volume of a cuboid is the product of its three dimensions

∵ The dimensions of the cuboid are 4 , (x + 1) , (x + 11)

∴ Its volume = 4(x + 1)(x + 11)

- Multiply the two brackets and then multiply the product by 4

∵ (x + 1)(x + 11) = (x)(x) +(x)(11) + (1)(x) + (1)(11)

∴ (x + 1)(x + 11) = x² + 11x + x + 11 ⇒ add like terms

∴ (x + 1)(x + 11) = x² + 12x + 11

∴ Its volume = 4(x² + 12x + 11)

∴ Its volume = 4x² + 48x + 44

∵ The volume of the cuboid = 924 cm³

- Equate the expression of the volume by 924

∴ 4x² + 48x + 44 = 924

- Subtract 924 from both sides

∴ 4x² + 48x - 880 = 0

- Simplify it by dividing all terms by 4

∴ x² + 12x - 220 = 0

Now let us factorize it into two factors

∵ x² = x × x

∵ 220 = 22 × 10

∵ 22(x) - 10(x) = 12x ⇒ the middle term

∴ x² + 12x - 220 = (x + 22)(x - 10)

∴ (x + 22)(x - 10) = 0

- Equate each factor by 0 to find x

∵ x + 22 = 0 ⇒ subtract 22 from both sides

∴ x = -22

∵ x - 10 = 0 ⇒ add 10 to both sides

∴ x = 10

∴ The values of x are -22 and 10

We can not use x = -22 because there is no negative dimensions, then we will use x = 10

∵ The dimensions are 4 , (x + 1) , (x + 11)

∵ x = 10

∴ The dimensions are 4 , (10 + 1) , (10 + 11)

∴ The dimensions are 4 cm , 11 cm , 21 cm

Learn more:

You can learn more about the factorization in brainly.com/question/7932185

#LearnwithBrainly

3 0
3 years ago
Kevin is 3 years older than brendon two years ago Kevin was 4 times as old as brendon . How old is Kevin now
Tpy6a [65]

Answer:

  Kevin is 6

Step-by-step explanation:

Let k represent Kevin's age now. Then Brendon's age now is (k-3). Two years ago the relationship of their ages was ...

  k-2 = 4((k-3) -2)

  k -2 = 4k -20 . . . . . eliminate parentheses, collect terms

  3k = 18 . . . . . . . . . . add 20-k

  k = 6 . . . . . . . . . . . . divide by 3

Kevin is 6 now.

4 0
2 years ago
How do you The the answer of equation of the boundary line & to write the inequality whose graph is shown? How do you work i
Firlakuza [10]
This is the equation
y =  - 1x





good luck
3 0
2 years ago
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