There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
5
8
.
There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.

Answer:

it is post-dated

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

The solution is: solve of the equation 19-5/2x = 34 is: x = -6.

Here, we have,

given that,

the equation is: 19-5/2x = 34

now, we have to solve this.

so, we have,

19-5/2x = 34

isolating the like terms, we get,

5/2 x = 19- 34

or,  5/2 x = - 15

dividing both side by 5 we get,,

x/2 = -3

cross-multiplying, we get,

x = -6

Hence, The solution is: solve of the equation 19-5/2x = 34 is: x = -6.

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Answer:

a) the largest y-intercept is 1

b) 13.5

c) y=x-3

d) 8

Step-by-step explanation:

the question was worded very strangely and I will answer the way I precieved it.

for question d, I simply considered the question to be asking what is X when y is 17 and since the equation of that line is 2x-1

Answer

D:9

Step-by-step explanation:

i took the test and got it right

Answer:

D- 9

Step-by-step explanation:

good luck :)

Answer:

the recursive formula gives the value of a certain term based on the previous term but the explicit formula gives the value of a specific term based on the position.

Step-by-step explanation:

Answer:

The answer is 36 units.

Step-by-step explanation:

Got it correct on edg

Answer:

(8x1/2)1/3

Step-by-step explanation:

i took the quiz

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:

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:

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:

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:

Answer: D (3 or 4)

Step-by-step explanation:

Answer:

i need data

Step-by-step explanation:

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:

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:

1

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

20% of 800 = 0.20 * 800 = 160

Answer:

12000

Step-by-step explanation:

Answer:

8π/9                                plz give brainlies.

Step-by-step explanation: luv u (:

Answer:

width=8cm

lenth=11

Step-by-step explanation:

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.

Answer:

Required equation of line in point-slope form is:

[tex]y-5 = -\frac{3}{5}(x+5)[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y = \frac{5}{3}x+2[/tex]

The slope-intercept form of line is:

[tex]y = mx+b[/tex]

Comparing both we get

m = 5/3

We have to find the equation of a line that is perpendicular to given line and passes though (-5,5)

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line then

[tex]m.m_1 = -1\\\frac{5}{3} . m_1 = -1\\m_1 =-\frac{3}{5}[/tex]

Point-slope form is given by:

[tex]y-y_1 =m_1(x-x_1)\\[/tex]

Putting m = -3/5 and (x1,y1) = (-5,5)

[tex]y-5 =-\frac{3}{5}(x-(-5))\\y-5 = -\frac{3}{5}(x+5)[/tex]

Hence,

Required equation of line in point-slope form is:

[tex]y-5 = -\frac{3}{5}(x+5)[/tex]

Answer:

The answer is negative 8 and negative 7

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:

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.