Mathematics High School

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
4
9
.
There are 32 red marbles in the bag and each is equally likely to be chosen.
Work out how many marbles in total there must be.

Answers

Answer 1
You can use proportion
Red marbles:total marbles
4 9
32 ?
(32*9)/4
288/4
=72 marbles

Related Questions

hii please help i’ll give brainliest

Answers

Quadrant 2
The last answer choice

Solve the system of equations 3x+2y=223x+2y=22 and -4x+3y=16−4x+3y=16 by combining the equations.

Answers

Answer:

(2, 8)

Step-by-step explanation:

Given the system of equation

3x+2y=22  ... *4

-4x+3y=16 .... *3

Using the elimination method

12x + 8y = 88

-12x + 9y = 48

Add

8y + 9y = 88+48

17y = 136

y = 136/17

y = 8

Recall that

3x+2y=22

3x+2(8)=22

3x + 16 = 22

3x = 22-16

3x = 6

x = 6/3

x = 2

Hence the required solution (x, y) is (2, 8)

From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the distance of the boat from the foot of the light house?

Answers

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

Please help
David has scored 86, 70, 79, 90, and 85 on his previous five tests. What score does he need on his next test so that his average (mean) is 84

Answers

(86 + 70 + 79 + 90 + 85 + x)/6 = 84
Multiply 6 to both sides and then add everything together and then subtract i from the multiplied 86 which will get you 94.
Answer: 94

What is the volume of a sphere with a diameter of 7,5 cm, rounded to the nearest
tenth of a cubie centimeter

Answers

Answer:

179.59

Step-by-step explanation:

.........................

$100 are shared between Adam and Hamza in the ratio 1:3.
A)
How many dollars did Adam receive?
How many dollars did Hamza receive?

Answers

Answer:

$25 for Adam and $75 for Hamza

Step-by-step explanation:

$100 will be divided to 3 + 1 = 4 parts

the dollars Adam received

= $100 × 1/4

= $25

the dollars Hamza received

= $100 × 3/4

= $75

-----------------------------------------------------------

the dollars Hamza give to Adam

= $75 × 25%

= $75 × 25/100

= $18.75

the dollars Adam have

= $25 + $18.75

= $43.75

the dollars Hamza have

= $75 - $18.75

= $56.25

the ratio

= 43.75：56.25

= 7：9

State if the triangles in each pair are similar. Remember a) AA/SAS/SSS
b) prove it. C) write a similarity statement.

Answers

Start at point A as that is the first letter of the sequence ABC. The second letter is B so we'll record the length of segment AB, which is 4 units long.
Note how we have a segment that is also 4 units long in the other triangle; however, we won't use that one just yet. Instead, we'll go for the 2 unit segment. As it turns out, every piece of the triangle on the right side is half that of the left side triangle.
Segment ED is 2 units long. So AB and ED pair up
------------------------------
BC is 8 units long; DF is 4 units long (half of BC). So BC and DF pair up
I started at A, went to B, then to C in that exact order marking the side lengths of 4 and 8 respectively. At the same time for the other triangle, I started at E, moved to D, then to F recording the side lengths 2 and 4
So A pairs up with E, B pairs with D, and C pairs with F
Therefore, triangle ABC is similar to triangle EDF. The order is very important so that the points line up and correspond in the proper manner.
I used the SSS (side side side) similarity theorem to prove the triangles similar. This theorem says that if the sides are in proportion to one another, then the triangles are similar.

hii please help i’ll give brainliest

Answers

Answer:

-19

Step-by-step explanation:

Answer:

-19

hope it helps. Plz mark brainliest!

explanation:

To find its opposite, change the negative sign to a positive sign. The answer is that the opposite of 19 is -19.

How many combinations with repetition are allowed if n = 5 and r = 3?
120
125
10
35

Answers

10 possible combinations

Answer:

35

Step-by-step explanation:

Since repetition is allowed, we use the equation

((n+r-1)!/(r!(n-1)!) = 7!/(3!x4!) = 35

I did not pay attention to the class- so can someone explain how to do dis type of problem- and the answers-

Answers

which questions ..??????

solve (i) 4/15+x=17/30​

Answers

Answer:

3/10

Step-by-step explanation:

4/15+x=17/30

x=17/30-4/15

x=17/30-8/30

x=9/30

simplify

x=3/10

A biologist was sitting near a pond and noticed a large number of dragonflies. He also saw both frogs and fish trying to eat the
dragonflies. He counted a total of 89 fish, frogs, and dragonflies. He noticed that there were four times as many dragonflies as fish and
that the frogs were five more than twice the number of fish

Answers

89 /3

frogs = 29.6

fish =  29.6

dragonflies =  29.6

all of them equal 89

Guessing you need to know how many of each animal there are

a = fish = 12
b = frog = 29
c = dragonflies = 48

a + b + c = 89

c = 4a (four times as many dragonflies as fish)
b = 2a + 5 (frogs were five more than twice the number of fish)

Then substitute for b and c in the big equation:

a + (2a + 5) + 4a = 89
Combine like terms:
7a + 5 = 89
Subtract 5 from both sides:
7a = 84
Divide both sides by 7:
a = 12

Now use this to solve for b and c

c = 4(12) = 48

b = 2(12) + 5 = 24 + 5 = 29

Please let me know if you have any questions.

BAC ~ DEC

x = ___ units​

Answers

Given:

[tex]\Delta BAC\sim \Delta DEC[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\Delta BAC\sim \Delta DEC[/tex]

The corresponding parts of similar triangles are proportional.

[tex]\dfrac{AB}{ED}=\dfrac{AC}{EC}[/tex]

On substituting the values, we get

[tex]\dfrac{24}{56}=\dfrac{2x}{3x+5}[/tex]

[tex]\dfrac{3}{7}=\dfrac{2x}{3x+5}[/tex]

[tex]3(3x+5)=2x(7)[/tex]

[tex]9x+15=14x[/tex]

Subtract [tex]9x[/tex] from both sides.

[tex]15=14x-9x[/tex]

[tex]15=5x[/tex]

[tex]\dfrac{15}{5}=x[/tex]

[tex]3=x[/tex]

Therefore, the value of x is 3 units.

HELP WILL MAKE BRAINLIEST

Answers

Answer:

x

Step-by-step explanation:

The answer is B. Hope this helps

Find the product of 22.4 and 0.51

Answers

Answer:

11.424 is the product of 22.4 x 0.51

PLEASE HELP the graph of the function f(x)=5/4sin(x)+1 is shown. what are the key features of this function? (look at photo) ​

Answers

Answer:

2.25 -0.25 increasing (-0.25,2.25)

Step-by-step explanation:

The minimum and maximum values are negative 1/4 and 9/4. In the interval of (0, π/2), the function is decreasing. And the range of the function will be [–1/4, 9/4].

What is a sinusoidal Function?

It is a function that repeats itself in a particular time interval.

The equation is given as

y = A sin (ωx + Ф) + C

Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.

The function is given below.

f(x) = (5/4) sin(x) + 1

Compare the function with standard equation.

A = 5 / 4

ω = 1

Ф = 0

C = 1

Then the maximum value of the function at sin x = 1, will be

Maximum value = 5/4 + 1

Maximum value = 9/4

Then the minimum value of the function at sin x = –1, will be

Minimum value = –5/4 + 1

Minimum value = –1/4

In the interval of (0, π/2), the function is decreasing.

And the range of the function will be [–1/4, 9/4].

More about the sine function link is given below.

https://brainly.com/question/3876065

#SPJ2

what is the measure of angle 1?

Answers

Since there was a ray drawn from A through C the exterior angle of angle C is angle 1. Any straight line should equal to 180 degrees.

Answer:

option a. 90°

angle 1=90°

Find the surface area. Urgent!

Answers

Answer:

306 cm²

Step-by-step explanation:

Sorry if this is wrong doing mental math

Math help me please/////

Answers

Answer:

C.

Step-by-step explanation:

A and D are incorrect because there is one outlier in the lower graph, and there are no signs of clusters on the graph, making B wrong as well. This leaves the only answer, C, which makes sense because there is a positive correlation of a line.

Find the value of x in OQ. 5x-6
2x+9
Need help with this question asap!!

Answers

Answer:

[tex]\huge\boxed{\sf x = 5}[/tex]

Step-by-step explanation:

Since, the chord is being bisected by the diameter (being divided into two equal parts). Hence,

5x - 6 = 2x + 9

5x - 2x = 9 + 6

3x = 15

Divide both sides by 3

x = 15 / 3

x = 5

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Help plz and the first and second options are.
First : any side,any two side,any three side
Second: less the. 90 degrees,greater then 90 and exactly 90

Answers

First: Two Sides
Second: Exactly 90°

If x+2y=12 and x-y=3 find the value of x+y

Answers

The answer would be 9

x-y=3
x=3+y

X+2y=12
(3+y) + 2y=12
3y+3=12
3y=9
Y=3

X-(3)=3
X=6

X+y
6+3=9

PLEASE HELP ASAP PLEASE HELP

Answers

equal tp 4 inches because all sides of a triangle are usually the samw

If x = 7, what does y equal in the following equation? *
2x + 4y = -6

1) y = -2

2) y=-3

3) y=-4

4) y=-5

Answers

The answer is 4) y=-5

2x + 4y= -6
2(7) + 4y = -6
14 + 4y = -6
4y = -14 -6
y = -20/4
y = -5

Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

A

Step-by-step explanation:

9, 12, 15 is a multiple of 3, 4, 5 which is a right triangle

Answer:

A. 9, 12, 15

Step-by-step explanation:

A. [tex]9^{2} +12^{2} =15^{2}[/tex]

B. [tex]6^{2} +2^{2}\neq\sqrt{38}^{2}[/tex]

C.[tex]3^{2} +9^{2} \neq \sqrt{91} ^{2}[/tex]

find the slope of a line through the points (-1,5) and (7,-11)

Answers

Answer:

-2

Step-by-step explanation:

What is a possible solution to x ≥ −2?

Answers

Answer:

5

Step-by-step explanation:

Farid checked the prices of 5 items available for purchase in the cafeteria. The prices were:
$6.00$8.00$6.00$2.00$4.00
What was the median price of the items?
MEAN AND MEDINA

Answers

Answer:

Mean is 5.2 Median is $6.00

Step-by-step explanation:

To find mean u have to find the "average" whereby u add all the numbers and divide by the number of numbers.

($2+$4+$6+$6+$8)= $26. Then since there are 5 numbers in all u divide by 5.

$26÷5 =5.2 5.2 is the median.

Median is the middle number. To find it u have to rearrange the numbers from smallest to largest and find the middle number.

$2, $4, {$6,} $6, $8

$6 is the median.

Suppose you add or subtract two quadratic trinomials that use the same variable. What are the possible classifications for the sum or difference? Explain.
Please help me asap. T.T

Answers

Answer:

quadratic monomial, quadratic trinomial, constant monomial, linear monomial, quadratic binomial, linear binomial.

Step-by-step explanation:

two quadratic trinomials each have a degree-2, degree-1, and degree-0 term. It is possible that the coefficients of all or some of the terms cancel each other while adding or subtracting the polynomials.

Answer:

Here is the answer. Hope this helps Sorry it's blurry but you have to click on it and you will see the answer

Step-by-step explanation:

A kind teacher gives you 20 cents for every question you get right, but you have to pay the
teacher 10 cents for every question you get wrong. After 30 questions you have made a
profit of $1.80.
a ) Form an equation with x representing the number of questions you got right.
b )Solve your equation to find how many questions you got right.

Answers

Answer:

Let n be the number of questions you got right. Then

30-n equals the number of questions you got wrong.

So:

A) 20n-10(30-n)=180

30n-300=180

30n=480

n=16

30-n=14

B)You got 16 questions right and 14 questions wrong.

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