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Ksju [112]
3 years ago
10

The time t required to drive a certain distance varies inversely with the speed, r. If it takes 4 hours to drive the distance at

40 miles per hour, how long will it take to drive the same distance at 55 miles per hour?
A. about 2.91 hours

B. about 160.00 hours

C. about 22.00 hours

D. about 5.50 hours
Mathematics
1 answer:
Kazeer [188]3 years ago
4 0

Answer:

option D

Step-by-step explanation:

4 hours = 40 miles/per hour

? hour = 55 miles/per hour

<u><em>step one, find rate : </em></u>

40 divided by 40

1 hour = 10 miles/per Hour

If 4 x 10 = 40

then  n x 10 = 55

It takes 5.5 OR 5.50 Hours/per hour for a Distance of 55 miles

Answer is Option D

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Tju [1.3M]

Answer:

AB=62, BC=61, AC=57, PR=75, PQ=52.5, QR=52.5

Step-by-step explanation:

3 0
3 years ago
Find the center and radius of the circle with the given equation. Then select the correct
8_murik_8 [283]

Answer:

The center of the circle is (-4, 7).

Its radius is 5.

Step-by-step explanation:

Let (a,\, b) represent the center of the circle, and let r represent the radius of this circle. The equation for the circle would be:

(x - a)^2 + (y - b)^2 = r^2.

Expand the left-hand side of this equation using the binomial expansion:

\left(x^2 - 2\, a\,x + a^2\right) + \left(y^2 - 2\, b\, y + b^2\right) = r^2.

x^2 + (- 2\,a)\, x + y^2 + (-2\, b)\, y + \left(a^2 + b^2 - r^2\right)= 0.

Compare this equation with the one given in the question:

x^2 + 8x + y^2 - 14\, y + 40 = 0.

These two equations should represent the same circle. For that to happen, the coefficients should match. That gives a few equations about a, b, and r.

  • The coefficients for x should match: (-2\,a ) =8 \implies a = -4.
  • The coefficients for y should match: (-2\, b) = -14 \implies b = 7.
  • The constant terms should match: a^2 + b^2 - r^2 = 40.

However, it is already determined that a = -4 and b = 7. That means a^2 + b^2 - r^2 = (-4)^2 + 7^2 - r^2 = 65 - r^2.

65 - r^2 = 40 \implies r^2 = 25 \implies r = 5.

Hence, the radius of this circle is r = 5. Also, its center is at (a,\, b) = (-4,\, 7).

7 0
3 years ago
Can you please help me?
djverab [1.8K]

By weight, oxygen makes up approximately 65% of the human body.  

Numerically, hydrogen approaches 65% of the total number of atoms in the human body, but it is probably closer to 63% for most people.  

Accounting by Mass:

The mass of the human body is provided mostly by oxygen, carbon, hydrogen, nitrogen. Together these elements account for about 96% of the mass of a human.

8 0
4 years ago
Question 1(Multiple Choice Worth 4 points) Write an expression for the perimeter of the triangle shown below: A triangle is show
GuDViN [60]

The perimeter of triangle is: 5.5x+9

Step-by-step explanation:

Lets define perimeter firsst.

A perimeter is the boundary line measurement of any closed geometric figure"

Given

Side 1:  0.3x+24

Side 2: 5x

Side 3: 0.2x-15

The perimeter of a triangle is given by:

P = Side\ 1 + Side\ 2+ Side\ 3

Putting the values

P = (0.3x+24) + (5x) + (0.2x-15)\\=0.3x+24+5x+0.2x-15\\=5.5x+9

Hence,

The perimeter of triangle is: 5.5x+9

Keywords: Perimeter, triangle

Learn more about perimeter at:

  • brainly.com/question/884169
  • brainly.com/question/8811218

#LearnwithBrainly

7 0
3 years ago
Caiden and josh are practising at the batting cage. Josh has hit nine more than 1/2 the number of balls that Caiden has. If the
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263727261772722727373636267262
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