A tub contains red, green and blue counters. There are 20 more red counters than blue counters and one-third of the counters are green. If there are 60 green counters what is the probability of picking a red counter?​

Answers

Answer 1

Answer:

7/18

Step-by-step explanation:

If 1/3 of the counters are green that means that 60 counters are 1/3 of the total number of counters. We can multiply 60 by 3 to find the total number (3/3) of counters: 60 × 3 = 180

Next, we can find out how many counters are blue and green by subtracting 60 from 180: 180 - 60 = 120

If there are 20 more red counters than blue counters, we can write this algebraically as x + (x + 20) = 120. x + 20 is the number of red counters and x is the number of blue counters

To find x, simplify the equation:

2x + 20 = 120

2x = 100

x = 50

There are fifty blue counters, therefore there are 70 red counters. The probability of picking a red counter is 70/180 or 7/18.

Hope this helps!


Related Questions

Find the area of the following figure

Answers

Answer:

A = 280 ft²

Step-by-step explanation:

the figure is composed of a rectangle and a triangle.

area of rectangle = 20 × 10 = 200 ft²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is base and h the height )

b = 20 and h = 18 - 10 = 8 , then

area = [tex]\frac{1}{2}[/tex] × 20 × 8 = 10 × 8 = 80 ft²

total area A = 200 + 80 = 280 ft²

12. In PQR if mP is 14 less than five times x, mQ is five less than x, and mR is nine less
than twice x, find x and the measure of each angle.

Answers

Answer:

Step-by-step explanation:

mP=5x-14

mQ=x-5

mR=2x-9

we know that all the angles in a triangle= 180

that means (5x-14)+(x-5)+(2x-9)=180

5x-14+x-5+2x-9=180  we add the variables and the numbers

8x=180+28

8x=108

x=26

mP=130-14=116

mQ=26-5=21

mR=43

dont rush i know its alot

Answers

The lines are parallel

Victoria bought 14 chicken wings for 19.60. If victoria spent 23.80, how many chicken wings did she buy

Answers

Answer:

17 wings

Step-by-step explanation:

Money/How Many

19.60/14=1.4

1.4 is the unit rate, so we divide 23.80/1.4 to find how many chicken wings

which equals 17

how do u work this question out

Answers

find the coordinates, which are (5,4) and (6,8)

5/9x3/4 in simplest form?

Answers

5/9*3/4
=15/36
=divisible by 3
=5/12

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{5}{9}[/tex] × [tex]\frac{3}{4}[/tex] = [tex]\frac{15}{36}[/tex]

HCF of 15,36 = 3

[tex]\frac{15}{36}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{5}{12}[/tex]

In 2014, the number of home runs hit by the LA Dodgers accounted for 6% of 583 total home runs hit in the MLB. Approximately how many home runs did the LA Dodgers hit?

Answers

Answer:

583 x 6% = 34.98 = approximately 35

Answer:

[tex]

\begin{gathered}A=\underbrace{\begin{pmatrix}1&2\\4&3\end{pmatrix}}_{M_1}\underbrace{\begin{pmatrix}6&1&5\\7&3&4\end{pmatrix}}_{M_2}\end{gathered}[/tex]

Step-by-step explanation:

[tex]If AA is \: the \: matrix \: product

\begin{gathered} \: A=\underbrace{\begin{pmatrix}1&2\\4&3\end{pmatrix}}_{M_1}\underbrace{\begin{pmatrix}6&1&5\\7&3&4\end{pmatrix}}_{M_2}\end{gathered}A=M1(1423)M2(671354)[/tex]

Which quadratic function is represented by the table? f(x) = 3x2 2x – 5 f(x) = 3x2 – 2x 5 f(x) = 2x2 3x – 5 f(x) = 2x2 – 2x 5

Answers

For the values of x, the quadratic function f(x) = 3x² – 2x + 5 is satisfied. Then the correct option is B.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

At x = –2, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(–2)² – 2(–2) + 5

f(x) = 12 + 4 + 5

f(x) = 21

At x = –1, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(–1)² – 2(–1) + 5

f(x) = 3 + 2 + 5

f(x) = 10

At x = 0, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(0)² – 2(0) + 5

f(x) = 0 + 0 + 5

f(x) = 5

At x = 1, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(1)² – 2(1) + 5

f(x) = 3 – 2 + 5

f(x) = 6

At x = 2, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(2)² – 2(2) + 5

f(x) = 12 – 4 + 5

f(x) = 13

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

jon works in the shipping department at crunchy cereal. to find out how many cereal boxes fit in one shipping container, jon divides the volume of the container by the volume of one cereal box. using the diagram and jon's method, determine how many cereal boxes can be packed in the container.

a) 12 boxes

b) 18 boxes

c) 20 boxes

d) 24 boxes​

Answers

To know the number of boxes that can fit divide the volume of the shipping container by the volume of one cereal box.

How to calculate the number of boxes that can fit in the shipping container?

To do this use the formula;

volume of the shipping container/ volume of a box of cereal = number of cereal boxes that can fit.

How to calculate the volume of the container and the volume of the cereal boxes?

Since both the container and the boxes likely have a defined rectangular shape you can use this formula:

length x width x height

For example:

Dimensions of the container:

120 cm x 100 cm x 100 cm = 1200000 cubic centimeters

Dimensions of the boxes:

30 cm x 30 cm x 10 cm = 9000 cubic centimeters.

1200000 cc / 9000 cc = 133 boxes.

Note: This question is incomplete because the diagram is not provided; due to this, I answered it based on general knowledge.

Learn more about boxes in: https://brainly.com/question/2511671

Rae earns an hourly wage and occasionally receives a bonus that is paid on the first day of the month. This month, Rae’s total pay was $871.50 after working 83 hours and $1,218.00 after working 116 hours.

Answers

Answer:total amount of money that he should pay if he has not used his duty free exemption is $98

Step-by-step explanation:I did this before

A parallelogram has an area of 37. 72 m² and a height of 4. 6 m. How long is the base of the parallelogram? Enter your answer as a decimal in the box. M.

Answers

Answer:

8.2 m

Step-by-step explanation:

Divide 37.72 (area) by 4.6 (height) to find the base. H x b = A

Answers:

O. Reflection (2, 3)+ (-I, 2)
Dilation (2, y) > (0.52, 0.5y)

O. Reflection (2, y) > (-2, y)
Dilation (2, y) > (0.25x, 0.25y)

O. Dilation (2, y) > (-0.752, -0.75y)
Reflection (2, 4) > (-2, 4)

O. Rotation (2, y) > (-y, x)
Dilation (2, y) > (0.5x, 0.5y)


.

Answers

Stop spamming you’re question

Hello I need help on this math question
BRAINLIEST For the fastest correct answer​

Answers

Answer:

LA: 37.68 in squared

TSA: 94.2 in squared

A telephone company has to install more than 8 miles of cable. The company has installed 2 miles of cable so far. Let X represent the number of miles of cable left to install. Write an inequality based on the situation to find the number of miles of cable the company has left to install

Answers

Answer:

2 + x > 8

Step-by-step explanation:

PLEASE HELP I WILL GIVE 20

Answers

Answer:

1 and 4, 2 and 3, 3 and 7, 4 and 8.


Sam deposited $500 in a new

bank account.
• The bank pays 4% interest
compounded annually on this account.
Sam makes no more deposits or
withdrawals.
rounded to the nearest cent

Answers

Answer:

$52000.00

Step-by-step explanation:

formula= principal (1+(rate÷100))^years

500 (1+(4÷100))^1

500 (1+0.04)^1

500 (1.04)

520

$520.00

100 cents = $1

520×100

52000 cents

The angle measure in degrees that corresponds to of a circle is
°. Its corresponding measurement in radians is /
.

Answers

Answer:

7/10 = x/360

Solve for x and you will get 252 degrees. Now to convert it to radians,

you do 252 * pi/180(1 pi = 180 degrees) = 1.4pi. This means 7pi/5

Hope it helps!!!!!!brainliest pls!!!!!!!!!!

A graph has hours studied on the x-axis and test scores on the y-axis. Points are at (1, 3), (2, 6), (3, 5), (3, 8), (4, 5), (5, 8), (8, 9).
What statements describe this graph? Check all that apply.
The points are scattered.
The points are not connected.
The graph displays a discrete graph.
The graph displays the relationship of test scores to hours studied.
The graph represents the relationship between two sets of data.

Answers

All of the above except for the last one

Which statements about f(x) = −(x − 7)2 + 4 are true?

Answers

Answer:

A, D, and F

Step-by-step explanation:

A. True, because  represents a quadratic function (the greatest power of x is 2)

B. False, because this function is quadratic, so cannot be linear

C. False. The vertex of the parabola is at point (-7,4) (see diagram)

D. True. The axes of symmetry is the line x=-7 that passes through the vertex.

E. False. The y-intercept is at point x=0 and

F. True. The graph has the maximum at the vertex, where

G. False. The graph of the parabola intersects the x-axis at two points (-9,0) and (-5,0), so x=-9 and x=-5 are two real solutions of the equation f(x)=0.

Select the correct answer.
The box plot shows the number of hours the students in Mr. Quentin's class spent doing online research for a science fair project.

What is the shape of this data set?

A. skewed left

В. skewed right

C. symmetrical

D. cannot be determined
here

Answers

I am pretty sure it is b

help me with this please

Answers

Answer:

the answer is 135

Step-by-step explanation:

........

A right triangle has legs of length 136 cm and 119 cm. What is the length of the hypotenuse of the right triangle? Enter the answer, rounded to the nearest tenth, in the box. ​

Answers

Answer:

Hypotenuse= 180.7 cm

Step-by-step explanation:

Using Pythagoras' theorem:

a^2+b^2=c^2                     (let c= Hypotenuse "H")

(136)^2 + (119)^2 =  H^2

18496+14161 =H^2

H^2= 32657

Taking square root on both sides

[tex]\sqrt{H}[/tex]= [tex]\sqrt{32657}[/tex]

H=180.7

9 x 10 to the power of 5 + 8 x 10 to the power of 4 + 2 x 10 to the power of 3 + 9 x 10 to the power of 2 + 5 x 10 + 1

please

Answers

Answer:

5.94587615×10^9

Step-by-step explanation:

You just...put it in a calculator?

What is the approximate volume of the earth? How much larger is Earth than Mars?

Answers

Answer:

Step-by-step explanation:

The volume of a sphere is defined to be:

[tex]V=\frac{4}{3} \pi r^3[/tex]

Plug in the values for both planets. The radii of the planets was already given:

[tex]V_e=\frac{4}{3} \pi (6378.1)^3[/tex]

[tex]V_e=1.1*10^1^2kg^3[/tex]

[tex]V_m=\frac{4}{3} \pi (3390.0)^3[/tex]

[tex]V_m=1.6*10^1^1kg^3[/tex]

Earth is this many times larger than Mars:

[tex]\frac{V_e}{V_m} =\frac{1.1*10^1^2}{1.6*10^1^1} =6.9[/tex]

can someone please help me.

Answers

answer is the 3rd one np

HELPPPPPPPPP MEEEEEE.. please.

Answers

Answer:

Y=6X

Step-by-step explanation:

Step by step explanation is on the pic above

Answer:

y = 6x

Step-by-step explanation:

We can find the relationship by looking at each value for X and Y and finding which number makes the equation true

The first equations says Y = 3 when X = 0.5, Lets put this into an equation

[tex]3= ?*0.5[/tex]

The only number that would make this equation true is 6

[tex]3=0.5*6[/tex]

Lets try another, The Third equation says that Y = 9 when X = 1.5

[tex]9 = 1.5*?[/tex]

Again, the only number that works is 6

[tex]9=1.5*6[/tex]

Hence the equation for this table is [tex]Y=6x[/tex]

Katie is planning to paint the gate of her house that has a glass panel. Painting the gate costs
$4 per square foot. How much will she have to spend to paint the gate?

Answers

Answer:$58.80

Step-by-step explanation:

{[(3 x 4) + (2 x 3)/2] - (0.4 x 0.75)} x $4 = $58.80

What is the first thing you should place on a double number line diagram?

Answers

Answer:
the lines

Step-by-step explanation:

first you have to draw the lines on a double number line diagram

2 3/7 ÷ 2/5 Give your answer in its simplest form.

Answers

Answer:

85/14 or 6 1/14

step by step explanation:

2 3/7 = 17/7

17/7  /  2/5 = 85/14

85/14 = 6 1/14

Using the net below, find the surface area of the triangular prism.

Answers

Answer:

Hi, there! The total surface area of that prism is 118 cm^2.

Step-by-step explanation:

The three rectangles on the side are called the lateral area, and they add up to 98(I'm assuming you know how to find the area of a 2d shape), and as for the triangles on the sides, you can just use the formula which is [tex]b*h/2[/tex].

Hope this helps :)

Answer:
118 cm²

Step-by-step explanation:

Area of rectangle = l x b
= 7 x 5 = 35cm²
=4 x 7 = 28cm²
Add the area of the three rectangles = 35+35+28
=98cm²
Area of triangle = 1/2 x b x h
= 1/2 x 4 x 5
= 10 + 10 = 20
Therefore, area of the prism = 118cm²

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