There are 14 white cabbages and x purple cabbages in a box.
A cabbage is selected at random.
The probability of taking a white cabbage from the box is 0.56.
Find the value of x.

Answers

Answer 1

Answer:

x = 11

Step-by-step explanation:

Given:

14 = number of white cabbagesx = number of purple cabbagesP(W) = 0.56

⇒ total number of cabbages = 14 + x

[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]

[tex]\sf \implies P(W)=\dfrac{number \ of \ white \ cabbages}{total \ number \ of \ cabbages}[/tex]

[tex]\sf \implies 0.56=\dfrac{14}{14+x}[/tex]

[tex]\sf \implies 0.56(14+x)=14[/tex]

[tex]\sf \implies 7.84+0.56x=14[/tex]

[tex]\sf \implies 0.56x=6.16[/tex]

[tex]\sf \implies x=11[/tex]


Related Questions

Q. A circular pie has an area of 706.5 cm? What is the radius of the pie?
answer choices

A. 225 cm
B. 30 cm
C. 15 cm
D. 112.5 cm

Answers

Answer:

C. 15 cm

Step-by-step explanation:

The formula to find the area of a circle is: π × r²

But since we need to solve for the radius, we use the formula:

[tex]r = \sqrt{ \dfrac{ A }{ \pi } \phantom{\tiny{!}}}[/tex]

r = radius

A = area

π = 3.14

Now we substitute the information given in the text into the equation

[tex]r = \sqrt{ \dfrac{ A }{ \pi } \phantom{\tiny{!}}}[/tex]

Substitute values into the equation

[tex]r = \sqrt{ \dfrac{ 706.5 }{ 3.14 } \phantom{\tiny{!}}}[/tex]

Divide 706.5 by 3.14

[tex]r = \sqrt{ 225 }[/tex]

Take the square root of 225

[tex]r = {15 }[/tex]

So, the radius of the pie is 15 cm

Which number sentence matches the question below?

Mindy has a total of 239 books.

If Mindy gives 92 books to her local library, how many books will she have left?

A.
- 239 = 92

B.
239 + 92 =

C.
239 - 92 =

Answers

Answer:

Your answer is C.

239-92

Step-by-step explanation:

If shes giving AWAY then it would be a subtraction problem.

C because you’re taking away from the total amount that you had

Julia was creating similar triangles in the coordinate plane. The first triangle had a rise of 3 and a run of 10. The second triangle had a rise of 7. 5. Analyze Julia’s work to see if she found the correct length of the run for the second triangle to be similar to the first triangle. 1. 3 10 = 7. 5 x 2. 75 = 3x 3. X = 25 Is Julia correct? If not, what was her mistake? Yes, she is correct. No, her proportion does not have the corresponding measures from corresponding figures in the same positions in the ratios. No, she needed to have the product of the numerators equal to the product of the denominators. No, she needed to multiply 7. 5 to both sides.

Answers

Yes julia is correct the run of the scond similar triangle will be b2=25.

What are simlilar traingles?

The similar triangle are those whose three sides or one angle or two sides or two angles one side are equal.

In the given:

Height of first triangle h=3

Base of first traingle =10

Height of second triangle =7.5

The base of second triangle b2 = ?

From the triangle similarity

[tex]\dfrac{h_1}{b_1}=\dfrac{h_2}{b_2}[/tex]

[tex]\dfrac{3}{10}=\dfrac{7.5}{b_2}[/tex]

[tex]b_2=\dfrac{7.5\times 10}{3}[/tex]

[tex]b_2=25[/tex]

Thus julia is correct the run of the scond similar triangle will be b2=25.

To know more about similar triangle follow

https://brainly.com/question/2644832

An expression is given
3(3 squared2 -4)

Answers

Answer:

0.728 to nearest thousandth.

Step-by-step explanation:

3(3 squared2 -4)

= 9√2 - 12

= 0.728 to nearest thousandth.

75% of 1250
find the value​

Answers

Answer:

937.5

Step-by-step explanation:

Given:

75% of 1250

Note:

Of = Multiply

Solve:

75% × 1250

= 937.5

~Lenvy~

Answer:

937.5

Step-by-step explanation:

We Know That 75% Is Same As 75

100

So, You Start By Dividing That, Or Making The Calculation Together, You Say

[tex] \frac{75}{100} \times \frac{1250}1[/tex]

[tex]0.75 \times 1250[/tex]

[tex] = 937.5[/tex]

Estimate the difference.

Answers

Answer:

498. 498/6 = 83.

Step-by-step explanation:

helppppppppp meee too simplify this


Answers

Answer:

30,976

Step-by-step explanation:

=}.

[tex](11 {}^{3} \times 4 { }^{2} \binom{}{11 {}^{2} } ) {}^{2} [/tex]

=}.

[tex](11 \times 4 {}^{2} ) {}^{2} [/tex]

=}.

[tex]121 \times (4 {}^{2} ) {}^{2} [/tex]

=}.

[tex]121 \times 256[/tex]

=}. 30,976

Answer:

Answer given above

Step-by-step explanation:

11^2 * 4^4

Which quadratic function in vertex form can be represented by the graph that has a vertex at negative 4. . 5. and passes through the point negative 7. . 11. ?

Answers

Answer:

the annswer is 4155 because its in formal information

Step-by-step explanation:

the annswer is 4155 because its in formal information

The radius of Circle A is 6 cm. The radius of Circle B is 2 cm greater than the radius of Circle A. The radius of Circle C is 3 cm greater than the radius of Circle B. The radius of Circle D is 2 cm less than the radius of Circle C. What is the area of each circle?

Answers

Answer:

circle a: 3.14x36= 113.04

circle b: 3.14 x 64 = 200.96

circle c: 3.14 x 121= 379.94

circle d : 3.14 x 81 = 254.34

Step-by-step explanation: circle a is 6cm, circle b is 8 cm, circle c is 11 cm and circle d is 9cm.

and (Area = π r²) example: circle a 6²=36 and π=3.14 so 3.14x36=113.04

PLEASE HELP!! URGENT!

Answers

Step-by-step explanation:

258

because there are 360 degrees in a circle. 360 - 102 = 258

The cheetah is the fastest land animal in the world. During a sprint, the number of feet a cheetah runs y varies directly with the amount of time in seconds x as shown in the table. Write and solve a direct variation equation to determine how far the cheetah can run in 5.5 seconds.

Answers

Step-by-step explanation:

[tex] \hookrightarrow \sf y = kx [/tex]

[tex] \sf where \: k \: is \: constant[/tex]

[tex] \sf \: k = \frac{y}{x} [/tex]

[tex] \hookrightarrow \sf \: k = \frac{y}{5.5} [/tex]

Equation = [tex] \sf \: k = \frac{y}{5.5} [/tex]

I need help please!!!!!!

Answers

Answer:

432 feet^2

Step-by-step explanation:

If we fill in the edges, it'll be 24x8, since 16+2 is 18, and 20+2(2) is 24. 24x18 is 432. Brainliest please.

Find the measure of the missing angle

Answers

The two angles form a straight line and need to equal 180 degrees


180 - 61 = 119

The missing angle is 119 degrees

how to find the hcf and the lcm of numbers using prime factorization.

lcm
30 and 12.

hcm
12 and 20​

Answers

Answer:

Below in bold.

Step-by-step explanation:

30 = 2 * 3 * 5

12 = 2 * 2 * 3

Note that 2 and 3 are common to both factors

so the HCF = 2*3 = 6.

Only one 2 and one 3 of the duplicates are included in the LCM:

so the LCM = 2 * 3 * 2 * 5 =  60

20 = 2 * 2 * 5

12 = 2 * 2 * 3

HCF = 2 *2 = 4

LCM = 2*2*3*5 = 60.

Select all the statements that describe the distribution of the data

Answers

D because the statement says

Find the value of x for which ABCD must be a parallelogram.

Answers

For a parallelogram, the parallel sides must be the same length. This means you can set their lengths equal to each other. Get like terms on the same side to calculate x.

3x-5=2x+3
3x-5+5=2x+3+5
3x=2x+8
3x-2x=2x-2x+8
x=8

x=8

The graph below represents the result of a survey in which a number of students
reported how many letters were in their last names.


How many students have a name that's longer than 8
letters?

Answers

Answer:

2

Step-by-step explanation:

One we student has 9 letters and another has 10 letters

Only 2 because one person has a 9 letter name and one has a 10 letter name

Which table does NOT represent a linear function?

Answers

Hey there!
Linear functions have a continuous change.

Let's check these tables and see if we can tell linear functions from non-linear functions.

The first one is

x values: -1, 0, 1, 2

- we add 1 each time

y values: 8, 5, 2, -1

- we subtract 3 each time

[tex]\rule{200}{2}[/tex]

Let's try the next one:

x values: -1, 0, 1, 2

- we add 1 each time

y values: 5, 10, 15, 20

- we add 5 each time

[tex]\rule{200}{2}[/tex]

Let's try the third one:

x values: -1, 0, 1, 2- we add 1 each timey values: 15, 18, 20, 21

        - we add 3, then 2, then 1..

So this table doesn't represent a linear function.

Let's check the fourth one:

x values: -1, 0, 1, 2

- we add 1 each time

y values: 1, 2, 3, 4

- we add 1 each time

Thus, Option C is the right option.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

os
10. What is the slope of the line that passes through the pair of points? (1 point)
(-2, 1), (2, 17)
4
O 17
0-15
04
04

Answers

Answer:

[tex]\boxed{\sf{4}}}[/tex]

Step-by-step explanation:

Use a slope form.

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

y₂ = (17)

y₁ = (1)

x₂ = (2)

x₁ = (-2)

Then, rewrite the problem.

Solve.

[tex]\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4} }[/tex]

Therefore, the slope is 4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

solve pls brainliest

Answers

Answer:

[tex]\frac{1}{3} - \frac{1}{9} = \frac{3}{9} - \frac{1}{9} = \frac{2}{9}[/tex]

The first one: 3

The second one: [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

To find the common numerator, you can multiply by 3 on both the numerator and denominator.

The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial amount. The half-life of the radioactive gas radon is approximately 2.8 days. The initial amount of radon used in an experiment is 74 grams. If N represents the number of grams of radon remaining t days after the start of the experiment,
a. Write an equation that gives Nin terms of t.
b. how much gas radon approximately remains after 2.8 days?
c. approximately when will the amount of radon remaining be 10 grams?

Answers

Step-by-step walkthrough:

a.

Well a standard half-life equation looks like this.

[tex]N = N_0 * (\frac{1}{2})^{t/p[/tex]

[tex]N_0[/tex] is the starting amount of parent element.

[tex]N[/tex] is the end amount of parent element

[tex]t[/tex] is the time elapsed

[tex]p[/tex] is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

[tex]N(t) = 74g * (\frac{1}{2})^{t/2.8days[/tex]

b.

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

[tex]N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2} = 37g[/tex]

c.

Now we just gotta do some algebra. Use the original function but this time, replace [tex]N(t)[/tex] with 10g and solve algebraically.

[tex]10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}[/tex]

Take the log of both sides.

[tex]log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})[/tex]

Use the exponent rule for log laws that, [tex]log(b^x) = x*log(b)[/tex]

[tex]log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})[/tex]

[tex]\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}[/tex]

[tex]2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t[/tex]

slap that in your calculator and you get

[tex]t = 8.1 days[/tex]

Tickets at a particular movie theater have different rates for adults and children. On Tuesday the theater sold 4 adult tickets and 9 child tickets for $88. The next day, the theater sold 7 adult tickets and 5 children tickets for $111. What is the price for the adult ticket and the price for the child ticket?​

Answers

Answer:

Adult Ticket = $13.00, Children Ticket = $4.00

Step-by-step explanation:
13*4=52, 4*9=36, 52+36=88

13*7=91, 4*5=20, 91+20=111

Find the surface area of the prism. Write your answer as a decimal.

Answers

Answer:

  49.2 square yards

Step-by-step explanation:

The surface area of a rectangular prism can be found using the formula.

  A = 2(LW +H(L +W)) . . . . where L, W, H are length, width, height

  A = 2(3×5 +1.2(3 +5)) = 2(15 +9.6) = 49.2 . . . . square yards

Write the expression t = 8 + 2h to represent the
temperature change for that day. Circle all of the expressions below that are equivalent to T
t=8+2h

a. t = h + 8 + 2h

c. t = 4h + 6 - 2h + 2

b. t= 8 + h + h

d. t = 8 - 2h

Answers

B is equivalent to t = 8 + 2h

Change the following decimals to fractions give your answers in their simplest form a) 0.3 b) 0.46 c) 0.075

Answers

Answer:

[tex]0.3 = \frac{3}{10}\\\\ 0.46 = \frac{23}{50} \\\\0.075 = \frac{3}{40}[/tex]

Step-by-step explanation:

To convert decimals to fractions, you look at the place of the last digit of the fraction (i.e. the digit that the farthest right from the decimal)

For 0.3, 3 is in the tenths place, so we end up with the fraction [tex]\frac{3}{10}[/tex]

For 0.46, 6 is in the hundreths place, so before simplifying we have [tex]\frac{46}{100}[/tex]

The GCF of 46 and 100 is 2 so we divide the fraction by [tex]\frac{2}{2}[/tex] to get [tex]\frac{46}{100}[/tex] ÷[tex]\frac{2}{2}[/tex] = [tex]\frac{23}{50}[/tex]

For 0.075, the 5 is in the thousandths place, so before simplifying we have [tex]\frac{75}{1000}[/tex]

The GCF of 75 and 1000 is 25 so we decide the fraction by [tex]\frac{25}{25}[/tex] to get [tex]\frac{75}{1000}[/tex] ÷[tex]\frac{25}{25}[/tex] = [tex]\frac{3}{40}[/tex]

Ashton is solving the equation
3x + 7 = 16.
Which shows a step Ashton can
use to solve the equation?
a. 3x + 7 = 16 - 7
b. 3x + 7 - 7 = 16 - 7
c. 3x + 7 = 16 + 7
d. 3x + 7 + 7 = 16 + 7

PLEASE HELP

Answers

Answer:

B: 3x + 7 - 7 = 16 - 7

Step-by-step explanation:

B: 3x + 7 - 7 = 16 - 7

Answer:

[tex]\boxed{\sf{B. \quad3x + 7 - 7 = 16 - 7}}[/tex]

[tex]\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

3x+7=16

First, subtract by 7 from both sides.

⇒ 3x+7-7=16-7

Solve.

⇒ 16-7=9

Rewrite the problem down.

⇒ 3x=9

Divide by 3 from both sides.

⇒ 3x/3=9/3

Solve.

Divide the numbers from left to right.

⇒ 9/3=3

⇒ x=3

Therefore, the solution is x=3, which is our answer.

So, the correct answer is B. 3x+7-7=16-7 (second option).

I hope this helps you! Let me know if my answer is wrong or not.

Which of the following situations results in 2/3 ? Select three that apply

Answers

Answer:

The first, second, and fourth questions.

Step-by-step explanation:

None of these result in an answer of 23, so I'm assuming that you meant 2/3.

"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"

2 gallons divided between 3 tanks is 2 divided by 3, so 2/3.

"Three cats share 2 cans of tuna. How much of a can does each cat receive?"

2 cans divided between 3 cats - it's the same as the above problem, just with cats and tuna cans instead of tanks and gallons of water. Each cat gets 2/3 of a can.

"Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?"

2 bags divided between 5 parrots would be 2/5 of a bag for each parrot.

"Two apples are split among 3 people. How much of an apple does each person receive?"

Two apples split among 3 people - like the first 2 questions, this also equals 2/3.

"Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?"

Three dogs EACH drink 2 cups of water means that the answer is 2*3=6 cups.

"Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?"

Three cupcakes are split between 2 children - they will each get 3/2 of a cupcake, or 1 1/2.

HELP ME PLEASE
Solve for x: -6 – 5x = 29

Answers

Answer:

x = -7

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (&Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 6 to both sides of the equation:

-5x - 6 = 29

-5x - 6  (+6) = 29 (+6)

-5x = 29 + 6

-5x = 35

Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5

x = 35/-5

x = -7

-7 is your answer for x.

~

If 2 fair dice are tossed what is the probability that the sum of the number of dots on the top faces will be 7

Answers

Answer:

Step-by-step explanation:

it could be 6 and 1, 5 and 2, 4 and 3, 3 and 4, 2 and 5 or 1 and 6.

It is 2 fair dice, so all together, the probability is 36.

6/36 can be simplified to ⅙

if £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after two years

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 2000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=2000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=2000(1.03)^2\implies A=2121.8[/tex]

Answer:

2,121.8

Step-by-step explanation:

2000(1.03)^2

please rate and mark as brainlest.

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