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Marta_Voda [28]
3 years ago
13

A 7-mile bike race is divided into 4 equal sections. Which equation shows how to find the number of miles in each section?

Mathematics
2 answers:
andrey2020 [161]3 years ago
5 0
You  would divide seven by four

because there are seven miles in total and you have four sections that the seven miles go in to

now we divide 7 by four

=1.75 miles in each section. hope this helped
guapka [62]3 years ago
4 0
You would divide 7 by 4. (7/4) each section would be 1.75 miles :)
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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
How do I solve for x ?X +8=-15
DanielleElmas [232]
Subtract 8 from both sides
So you end up with x = -23
7 0
3 years ago
Read 2 more answers
10. 5(3-9b) = 3(-15b – 2)
olga2289 [7]

Answer:

No Solution

Explanation:

5(3 - 9b) = 3(-15b – 2)

Expand

5(3 - 9b): 15 - 45b

3(-15b - 2): -45b - 6

15 - 45b = -45b - 6

Subtract 5 From Both Sides

15 - 45b - 15 = -45b - 6 - 15

Simplify

-45b = -45b - 21

Add 15b To Both Sides

-45b + 15b = -45b - 21 + 15b

Simplify

0 = -21

No Solution

8 0
3 years ago
How many cords would a pile 4 feet wide, 16 feet long, and 4 feet high contain?
nirvana33 [79]
To get the volume of the pile it is 4 x 4 x 16 so if each cord is =to 1 then the answer is 256
3 0
3 years ago
1.6y+y-4/15y+1 1/6y=2 1/3<br><br> PLZ HELP I GIVE BRAINLYIEST TO WHOEVER SOLVES FIRST
Andrej [43]

Answer:

i think its 2/3

Step-by-step explanation:

5 0
3 years ago
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