MATHEMATICS COLLEGE

Fill in the blanks to express the quantities given in ratio language. Ratios must beexpressed in simplest form.
Number of Miles Driven in a Week:
Person Hurry and answer need a answer right at this moment
Miles
Annabelle 24
Scarlett
56
Daniel
40
Kylie
8
For every
y miles Annabelle drove, Daniel drove miles.
Submit Answer

Answers

Answer 1

Answer:

Answer:

I think it's 1.67 miles

Step-by-step explanation:

24:40

1 /24 = x/40

24x/24 = 40/24

1 = 1.67 miles

I hope this helps?

For every 1 mile Annabelle drove, Daniel drove 1.67 miles.

I may be wrong.

Probably am...

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Use the distributive property to simplify this expression -2x(3x + x-5)

Answers

-6x-2x+10x
8x+10x
18x.

Answer:

−8x^2 + 10x

Step-by-step explanation:

Another rock in Death Valley at the Racetrack traveled 55.3 meters during the observation period of nine years. a . What was the rock's average speed in feet per year? Round your answer to the nearest whole number. feet per year b . If a strong wind gives a stone an initial velocity of v 0 = 11 m / s , and the friction coefficient of stone on ice is μ = 0.14 , and g = 9.81 m / s 2 . Use the equation v 2 0 = 2 μ g S to find the stopping distance S for the stone. Round your answer to the nearest tenth.

Answers

Answer:

a) 20 feet per year

b) 44.1 m

Step-by-step explanation:

Given:

Distance traveled during the observation period = 55.3 meters

Observation period = 9 years

initial velocity of v₀ = 11 m/s

friction coefficient of stone on ice is μ = 0.14

g = 9.81 m/s²

also,

v₀² = 2μgS

Now,

1 m = 3.28084 ft

thus,

Total distance in feet = 55.3 × 3.28084 = 181.430452 ft

Average speed = $\frac{\textup{Distance}}{\textup{Time}}$

Average speed = $\frac{\textup{181.430452}}{\textup{9}}$

Average speed = 20.159 feet/year ≈ 20 feet per year

b) v₀² = 2μgS

substituting the values in the above equation, we get

11² = 2 × 0.14 × 9.81 × s

121 = 2.7468 × s

s = 44.051 ≈ 44.1 m

Is the product of opposites always 1

Answers

Answer:

yes

Step-by-step explanation:

hope it helps!

Answer:

Yes, the product of a number and its opposite is always 1, and the opposite of a negative number is always a positive number.

Point A is located at (-2, 2), and point M is located at (1,0). If point M is the midpoint of AB, find the location of point B.O(-0.5, 1)

O (4,-2)

O(-5,4)

O(-1,1)

Answers

Answer:

B. $B = (4,-2)$

Step-by-step explanation:

GIven that $A = (-2, 2)$ and $M = (1, 0)$ , and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:

$M = (1)/(2)\cdot A + (1)/(2)\cdot B$

The location of B is now determined after algebraic handling:

$(1)/(2)\cdot B = M - (1)/(2)\cdot A$

$B = 2\cdot M -A$

Then:

$B = 2\cdot (1,0)-(-2,2)$

$B = (2\cdot 1, 2\cdot 0)-(-2,2)$

$B = (2,0) -(-2,2)$

$B = (4,-2)$

Which corresponds to option B.

The coordinate of point B will be (4, -2). Then the correct option is B.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A is located at (-2, 2), and point M is located at (1,0).

If point M is the midpoint of AB.

Then the location of point B will be

We know that the mid section formula

$\rm (x, y) = \left ( (x_1+x_2)/(2), (y_1+y_2)/(2) \right)$