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elixir [45]
2 years ago
8

On a family vacation, Amy's dad drove the car at a constant speed and traveled 585 miles in 13 hours. At this rate, how long wou

ld it have taken the family to travel 810 miles?
Mathematics
1 answer:
andreev551 [17]2 years ago
3 0
The answer to that question is 18 hours.
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PLEASE HELPPPPP<br> M=2<br> N=16<br> P=1/3
andre [41]

Answer:

4

Step-by-step explanation:

Based on the information you have given me, p = 1/3.

All we need to do is substitute that value into the expression:

12p = 12(1/3) = 4

4 0
3 years ago
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A cone of radius 10 cm and height 16 cm is divided into two parts by a plane through the midpoint of its
bazaltina [42]

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 =  1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ =  V - V₁

V₂ =  1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

7 0
3 years ago
Find the sum of -10x^2-x+6−10x 2 −x+6 and 10x^2-510x 2 −5.
irina [24]

Answer:

1. -10x^2-x+6-10x 2-x+6 = -10x^2 - 22x + 12

2. 10x^2-510x 2-5 = 10x^2 - 1020x - 5

Step-by-step explanation:

hope this helps

if i did something wrong let me know so i can fix my answer

#Virgo2007

8 0
2 years ago
Read 2 more answers
HeLp pLzZzZzZzZzZzZzZzZzZ
Gnoma [55]

Answer:


Step-by-step explanation:

Problem One (left panel)

<em><u>Question A</u></em>

  • The y intercept happens when x = 0
  • That being said, the y intercept is 50. It was moving when the timing began.

<em><u>Question B</u></em>

The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2  miles / hour^2 (you have a slight acceleration.

<em><u>Question C</u></em>

  • 60 = a + (n-1)d
  • 60 =  50 + (n - 1)*2
  • 10/2 = (n - 1)*2/2
  • 5 = n - 1
  • 6 = n

The way I have done it the domain is n from 1 to 6

Question 2 (Right Panel)

<em><u>Question A</u></em>

The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.

  • f(0) = ax + b
  • -3 = a*0) + b
  • b = - 3
  • So far what you have is
  • f(x) = ax - 3
  • f(-1) = a*(-1) - 3           but we know (f(-1)) = -6
  • - 6 = a(-1) - 3             add 3 to both sides
  • -6 +3 = a(-1) -3 + 3
  • -3 = a*(-1)                  Divide by - 1
  • a = 3
  • f(x) = 3x - 3               Answer for f(x)
  • The slope of f(x) = the coefficient in front of the x
  • f(x) has a slope of 3
  • g(x) has a slope of 4

<em><u>Part B</u></em>

  • f(x) has a y intercept of - 3
  • g(x) has a y intercept of -5
  • f(x) has the greater y intercept.
  • -3 > - 5
7 0
3 years ago
A rectangular made of square tiles measures 8 tiles wide and 10 tiles long what is the length in tiles of a similar rectangle 12
Agata [3.3K]
There’s are ratio which would be 8/10. 12/x should equally 8/10. So it would be 14 tiles long.
3 0
3 years ago
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