The formula for average speed when traveling a distance of ddd over a time ttt is \dfrac dt t d ​ start fraction, d, divided by, t, end fraction. Jeff and Cameron are arguing about which one of them is faster. Jeff says "I can run 777 kilometers per hour!" and Cameron says "I can run 100100100 meters per minute!" Which one is faster? Choose 1 answer: Choose 1 answer: (Choice A) A Jeff is faster than Cameron. (Choice B) B Cameron is faster than Jeff. (Choice C) C Jeff and Cameron are equally fast.

Answer:

One solution

Step-by-step explanation:

3(x – 2) = 22 – x

Distribute

3x - 6 = 22 -x

Add x to each side

3x-6+x = 22-x+x

4x -6 =22

Add 6 to each side

4x-6+6 = 22+6

4x = 28

Divide by 4

4x/4 = 28/4

x = 7

Answer:

One solution

Step-by-step explanation:

Solve for x to determine how many solutions it has

3(x - 22) = 22 - x

Distribute the 3

3x - 66 = 22 - x

Add x to both sides

4x - 66 = 22

Add 66 to both sides

4x = 88

Divide both sides by 4

x = 22

The equation has only one solution, the solution being 22

Answer: 30

Step-by-step explanation:

there are 5 fifths in 1 hinting the name fifths

So that means there are 30 fifths in 6

Answer:

8/15 of an hour

Step-by-step explanation:

Add the fractions together

1/3 + 1/5

Get a common denominator

1/3 *5/5 = 5/15

1/5 *3/3 = 3/15

Add together

5/15 + 3/15 = 8/15

Answer:

8/15

Step-by-step explanation:

1/3 x 5 = 5/15

1/5 x 3 = 3/15

5/15 + 3/15 = 8/15

Answer:

£11.25

Step-by-step explanation:

The formula to calculate simple interest is given as:

Simple Interest = Principal × Rate × Time

Principal = Amount deposited in the bank = £100

Interest rate = 2.25%

Time in years = 5 years

Hence,

Simple Interest = £100 × 2.25% × 5

= £11.25

Therefore, the interest that will have been paid after 5 years is £11.25

Answer:

I don't know what to say to someone who is a high school diploma Android to the other side of the kingdom of the crystal skull and bones

Answer: The clubs goal is to raise  $436.

Step-by-step explanation:

175%  * x  = 763     where x is the goal  

1.75 *x  = 763

1.75x = 763

x= 436

Answer:

In a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse.

The abbreviation is sin. sin θ = opposite / hypotenuse.2 cosA sinB = sin(A + B) − sin(A − B) 2 cosA cosB = cos(A + B) + cos(A − B) 2 sinA sinB = cos(A − B) − cos(A + B)

Step-by-step explanation:

hi sushant

for another definition:-

Shina (word), or Sina (Japanese: 支那) means archaic Japanese word for China.

Answer:

A =196 m^2

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = 14^2

A =196 m^2

Answer:

Step-by-step explanation:

Answer:

θ = 104°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

Identify and set up

m∠A = 31°

m∠B = θ

m∠C = 45°

θ + 31° + 45° = 180°

Step 2: Find θ

Answer:

104

Step-by-step explanation:

All interior angles of triangles add up to 180. So, using the information we are given we can find the missing angle, theta. One way to do this by setting up an equation like 31+45+θ=180. Solve this to get 104, your final answer. If you want, you can check your work by plugging in 104, 31+45+104=180. Since 180=180, 104 must be correct.

Answer:

I figured out that the probability that both marbles are red is 20/56 and the probability that both are green is 6/56. Then I added them together to get 26/56.

Hope this answer is right !

Answer:

distributive

Step-by-step explanation:

Answer:

let the numbers be 5x,4x and X respectively

therefore X=6

now ration

therefore ratio=30:24:6

Answer:

5- 5:2

4- 2:5

1-1:10

these are the ratio

of the question

ok hope it

help you

Answer: $42546.9 will be the earning in 4 years.

Step-by-step explanation:

The equation for compound interest follows:

[tex]A=P(1+\frac{r}{100})^n[/tex]

where,

A = total amount

P = Principle amount

r =  rate of interest

n = number of years

We are given:

Earnings earned per month = $3250

Earnings earned per year = ($3250 × 12) = $39000

The values become:

[tex]P=\$39000\\r=2.2\%\\n=4yrs[/tex]

Putting values in above equation, we get:

[tex]A=39000(1+\frac{2.2}{100})^4\\\\A=\$ 42546.9[/tex]

Hence, $42546.9 will be the earning in 4 years.

Answer:

Step 3

Step-by-step explanation:

Answer:

perpendicular slope = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] + 5 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2

Answer:

[tex]P(X \geq 8)=22*10^{-4}[/tex]

Step-by-step explanation:

From The Question we are told that

Prob that population is colourblind [tex]P(C)=0.10[/tex]

Sample size [tex]N=25[/tex]

Generally the equation for Number of color blinds is mathematically given by

  [tex]P(X \geq 8)=\sum^{25}_{x=8}(25..x)(0.10)^x(0.90)^25-x[/tex]

  [tex]P(X \geq 8)=22*10^{-4}[/tex]

Answer:

smallest share = $400

second smallest share = $800

largest share = $1200

Step-by-step explanation:

Let the smallest share = x

amount one friend gets = 2x

second friend gets = 3x

2400 = x + 2x + 3x

2400 = 6x

x = 400

2 x 400 = 800

3 x 400 = 1200

Answer:

x^2 + y^2 = 400

Step-by-step explanation:

The equation for a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-0)^2 + (y-0)^2 = 20^2

x^2 + y^2 = 400

Answer:

acute

Step-by-step explanation:

it is acute because it is less than 90 degrees

Answer:

4x²+21x-2

  (OR)

2x²-x-6

Step-by-step explanation:

According to the Question,

Given, The difference Between two trinomials is x²-10x+2 & If one of the trinomials is 3x²-11x-4.

Let, Two Trinomials are P(x) = A  &  Q(x) = 3x²-11x-4

Then, P(x) - Q(x) = x²-10x+2

Put Value, We get

A - (3x²-11x-4) = x²-10x+2

A = x²-10x+2 + (3x²-11x-4)

A = x²-10x+2 + 3x²-11x-4

A = 4x²+21x-2

(OR)

If we Let, Two Trinomials are Q(x) = A  &  P(x) = 3x²-11x-4

Then, P(x) - Q(x) = x²-10x+2

Put Value, We get

(3x²-11x-4) - A = x²-10x+2

A = 3x²-11x-4 - (x²-10x+2)

A = 3x²-11x-4 - x²+10x-2

A = 2x²-x-6

9514 1404 393

Answer:

  y = 9x^2 -8x +9

Step-by-step explanation:

The given equation has derivative ...

  y' = 2ax +b

The requirements on slope give rise to two equations:

  2a(1) +b = 10

  2a(-1) +b = -26

Adding these equations together gives ...

  2b = -16   ⇒   b = -8

Then we have ...

  2a -8 = 10

  a = (10 +8)/2 = 9

__

The given point lets us find the constant term c.

  y = 9x^2 -8x +c

  c = y -(9x -8)x = 29 -(9(2) -8)(2) = 29 -20 = 9

The equation of the parabola is ...

  y = 9x^2 -8x +9

Answer:

(0,-1)

Step-by-step explanation:

The y-intercept is the point where the parabola meets the y-axis. In this case, the parabola passes through the y-axis at (0,-1).

Answer:

y-intercept= -1

Step-by-step explanation:

This is the point at which the line crosses the y-axis.

Answer:

Here

Step-by-step explanation:

So, AKH would be also 65 as well as AKX

Answer:

[2, positive infinity)

Step-by-step explanation:

the range is the interval of possible y-values or f(x) values.

for x<0 y is always and only 3.

for x between 0 and 2, y = x² + 2.

it clearly increases with increasing x. so, what is y for the smallest x ? the smallest x here is 0.

y = 0² + 2 = 2

for x larger or equal to 2, y = (1/2)×x + 5.

it again increases with increasing x. the smallest x here is 2.

y = (1/2)×2 + 5 = 1 + 5 = 6.

so, the smallest possible value for y is 2. and then it will approach positive infinity, when x approaches positive infinity. but it can never reach that (only after infinite time and at infinite x, so it is officially undefined), so that the interval is open on that end.

Answer:

See attached

Step-by-step explanation:

The proof is in the attached picture.

Answer:

The formula of the circumference of the circle

[tex]C =\pi D[/tex]

Step-by-step explanation:

To find the circumference of the circle follow the given steps.

1. Take a thread.

2. Fix one end of the thread at one point of the circle.

3. Move the thread along the length of the circle.

4. You reach the same fix end.

5. Measure the length of the thread.

6. It is the circumference of the circle.

The formula of the circumference of the circle

[tex]C =\pi D[/tex]

where D is the diameter of the circle.