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padilas [110]
3 years ago
15

Paco had 13 cookies. He ate 6 of them. How many cookies does Paco have left? Show how you can solve this problem in 2 different

ways.
Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0

Answer:

Step-by-step explanation:

The first way you can explain is the simple standard way of subtraction using 13-6=7 or you can count up from 6 to 13 and see how many numbers are found in between.

dusya [7]3 years ago
4 0

Answer:

He has 7 cookies left

Step-by-step explanation:

13-6=7 7+6=13

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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
ONCE I HIT 30 ILL GIVE YOU 100 Points if i get a good grade Maybe even more
N76 [4]

Answer:

The correct anwser is 2x+5<4

Step-by-step explanation:

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3 years ago
How do the expressions 8+k2−6 and 8(k+2)−4k compare when k = 7?
Andreas93 [3]

Answer:

8+k2-6>8(k+2)-4k

Step-by-step explanation:

8+7×2-6 and 8(7+2)-4×7

8+14-16 and (56+16)-28

6 and 44

8 0
2 years ago
AB contains the points A(7, -11) and B (8, 17) Find the slope of a line perpendicular to AB.
lesya692 [45]
The slope of the line containing the points is 28... we need the negative reciprocal of this for the slope of line perpendicular.. 

So the slope would be: choice B
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Is y=5x-25 proportional
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It is proportional because we increase y.
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