I need help ASAP!!!!

Answer:

Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Step-by-step explanation:

Let Grace jumped for x minutes and Zoe jumped for y minutes

Grace jump no. of times in 1 minute = 66

Grace jump no. of times in x minutes = 66x

Zoe jump no. of times in 1 minute = 56

Zoe jump no. of times in x minutes = 56x

We are given that Their jumps today and together they jump 1266 times in the total of 21 minutes

So, x+y=21  ----1

66x+56y=1266  ---2

Substitute the value of x from 1 in 2

66(21-y)+56y=1266

y=12

x+y=21

x+12=21

x=21-12

x=9

Hence Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Answer:

Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Step-by-step explanation:

Answer:

2,292/3 = x/12

Step-by-step explanation:

if you were to solve

2,292/3 finds you how many people per hour

and multiply that by 12 to find how many people for 12 hours.

Step-by-step explanation:

[tex]\frac{2292}{3} =\frac{x}{12}[/tex]  

cross multiply divide.

x=9168

Answer:

a) 323 kph with a directional bearing of S 22° E

Step-by-step explanation:

to find the ground speed:

just do the pythagorean theorem.

c²=300²+120²

c²=104400

c=323

to find the directional bearing:

use the law of sines!

sin(90)/323 = sin(θ)/120

(*explanation: since the plane is heading due south and the wind is from due west, it makes a 90 degree angle; and the side opposite of the 90 degree angle is 323. set it equal to sin theta over 120; theta is the angle u r trying to find, and the side opposite of it is 120)

cross multiply:

120sin90=323sin(θ)

divide 323 on both sides:

sin(θ)=0.3715

use inverse sin to find out degree measure:

sin⁻¹(0.3715)=21.8

rounds up to 22.

The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E. Therefore, option A is the correct answer.

To find the ground speed of the plane, we need to know what a vector is

What is a vector?

A vector is a variable that has both magnitude and direction.

Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.

Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i

Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.

A resultant vector is the sum of two or more vectors.

So, V' = v + V

V' = (-120 kph)i + (-300 kph)j

So, its magnitude V' = √(x² + y²) where

x = -120 kph and

y = -300 kph.

So, V' = √[(-120 kph)² + (-300 kph)²]

= √[14400 kph² + 90000 kph²]

= √(104400 kph²)

= 323.11 kph

≅ 323 kph

The direction of the plane

Its direction, Ф = tan⁻¹(y/x)

Ф = tan⁻¹(-300 kph/-120 kph)

Ф = tan⁻¹(2.5)

Ф = 68.2°

From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°

So, the directional bearing of the plane is S22°E.

So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E.

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Answer:

let t= the number of tacos sold

let b= the number of burritos sold

3.25t+7b=552

b=2t

Step-by-step explanation:

Since there were twice as many burrito sold as tacos sold, there were more burritos sold, so if we multiply by 2 the number of tacos sold, we will get the number of burritos sold, meaning b=2t.

The system of equation should be considered as the  3.25t+7b=552 and the value of b should be equivalent to 2t.

here we assume that

t= the number of tacos sold

And, b= the number of burritos sold

As per the situation, the equation be like

3.25t+7b=552

b=2t

So,

put b value in the first equation

3.25t + 14t = 552

t = 3.01

And, b = 1.51

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Answer:

Independent variable- time spent in the dark room

Dependent variable - number of objects correctly identified

Conditions of the experiment- low light environment and lighted environments

Scores from the independent variable are used to construct the frequency distribution

Step-by-step explanation:

The independent variable is the factor that is being manipulated in an experiment and this time it is the time spent in a darkened room.

The dependent variable is the response variable, in this case, the number of objects correctly identified.

The experimental conditions involved bringing people from a lighted area into a darkened room.

Answer:

12000

Step-by-step explanation:

Answer:

Answer: D (3 or 4)

Step-by-step explanation:

Answer:

No, the line does not pass (0,0).

No, the line does not pass (0,0)

Brainliest Appreciated!

Answer:

I hope this helps!

Answer:

Tom's team won 15 games

Step-by-step explanation:

divide 36 by 12 to find out how many every 12 games there are then multiply that number by five.

Answer:

E

Step-by-step explanation:

When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.

Answer:

BDE, absolute value is how far away it is from 0 so it is BD and E

Step-by-step explanation:

It says select all that apply aswell which is why there is more then one answer

Answer:

(8x1/2)1/3

Step-by-step explanation:

i took the quiz

Answer:

8π/9                                plz give brainlies.

Step-by-step explanation: luv u (:

Answer:

that is, pi (π) multiplied by the radius squared (r2). Now, to calculate the area of a quadrant, divide the area of a circle by 4 (as four quadrants make a circle). We get, Area of a quadrant, A= (πr2)/4 Square units.

Given :

The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17t}}[/tex]    ...1)

To Find :

Find the number of fish is the pond in 2014.

Solution :

Number of years, t = 2014 - 2001 = 13.

Putting value of t in equation 1), we get :

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67[/tex]

p(t) ≈ 486

Therefore, number of fish in the pond in 2014 is 486.

Hence, this is the required solution.

Answer:

i need data

Step-by-step explanation:

Step: Solvey=2x+6for y:

y=2x+6

Step: Substitute2x+6foryin3y=x−2:

3y=x−2

3(2x+6)=x−2

6x+18=x−2(Simplify both sides of the equation)

6x+18+−x=x−2+−x(Add -x to both sides)

5x+18=−2

5x+18+−18=−2+−18(Add -18 to both sides)

5x=−20

5x/5=−20/5

(Divide both sides by 5)

x=−4

Step: Substitute−4forxiny=2x+6:

y=2x+6

y=(2)(−4)+6

y=−2(Simplify both sides of the equation)

Answer:

x=−4 and y=−2

I hope it helps you

Answer:

it is post-dated

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

Let the number be x.

(x - 14) x 3 = 3

3x - 42 = 3

3x = 45

x = 15

This is a question on forming and solving an algebraic equation. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

The unknown number could be 15.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given; I subtract 14 from a certain number. I multiply the result by 3. The final answer is 3 .

Let the unknown number be x.

(x - 14) x 3 = 3

3x - 42 = 3

3x = 45

x = 15

Hence, the unknown number could be 15.

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Answer:

n-14 ;)

Step-by-step explanation:

The simplified form of the given expression is n-13.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, an expression, n-4-9, we need to write this expression in the simplest form,

We can add -4 and -9, to write it in the simplest form,

n-4-9

= n-(4+9)

= n-13

Hence, the simplified form of the given expression is n-13.

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Answer:

160

Step-by-step explanation:

20% of 800 = 0.20 * 800 = 160

Answer:

Step-by-step explanation:

x= -1 and -3

What when multiplied is +3 but when added is 4? 3 and 1. You then get (x+3)(x+1) is the first part of the answer. If you want to find x, set x+3 to 0. x+3=0. Then subtract 3 from both sides to get x by itself. x= -3. Do the same with the x+1.

The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.

✯the following is a function, so yes.

Answer:

yes

Step-by-step explanation:

Answer:

The answer is 36 units.

Step-by-step explanation:

Got it correct on edg

The coordinates of reflected points are:

(a) (4, 1)

(b) (-4, -1)

Use the concept of coordinate points defined as:

A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.

The given points are

(4, -1)

The objective is to find the point of reflection:

(a) Along the X-axis

(b) Along the Y-axis

(a) The reflection along the X-axis,

For the point  (4, -1)

x coordinate is 4

y coordinate is -1

Keep the x coordinate the same and take the negative of the y coordinate.

Therefore,

The negative of y coordinate is -(-1) = 1

Hence,

The reflection of the point along x-axis is (4, 1).

(b) The reflection along the Y-axis:

Keep the y coordinate the same and take the negative of the x coordinate.

Therefore,

The negative of x coordinate is -(4) = -4

Hence,

The reflection of the point along y-axis is (-4, -1).

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Answer:42 dollars

Step-by-step explanation:

Answer:

42 dollars

Step-by-step ex

Step-by-step explanation:

f(x) - g(x)

9x³+2x²-5x+4 - (5x³-7x+4)

9x³+2x²-5x+4 - 5x³+7x-4

4x³+2x²+2x

2x(2x²+x+1)