The capacities of 3 buckets are in the ratio 3:2:4. If the total capacity of the 3 buckets is 36 liters, find the capacity of the smallest bucket?

Answers

Answer 1

Answer:

8 liters

Step-by-step explanation:

3x+2x+4x=9x

36/9=x

x=4

2x= smallest bucket= 8


Related Questions

What is -1
What is the answer

Answers

Answer:

1

Step-by-step explanation:

The answer is actually just positive 1.

Absolute value is the direct opposite of a number with a positive value on a number line. However, the absolute value is always answered in a positive form of the number meaning that no matter what the number is (even if it's a positive number) the answer will always be that same number, but in positive form.

Remember, if a number is in between two of these " | " then the answer will be that same number but in positive form.

Hope this helps and have a nice day.

-R3TR0 Z3R0

The cost of making a chair is $28 correct to the nearest dollar. Calculate the lower and upper bounds for the cost of making 450 chairs

Answers

Answer:

$12,375

$12820.50

Step-by-step explanation:

To obtain a rounded value of $28 (to nearest dollar) the lowest and highest possible value before rounding will be : 27.50 and 28.49

Hence,

Lower bound = $27.50

Upper bound = $28.49

Therefore. Cost of making 450 chairs ;

27.50 * 450 = $12,375 (lower bound)

28.49 * 450 $12820.50 (upper bound)

During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to 9:00 P.M. audience proportions were recorded as ABC 29%, CBS 28%, NBC 25%, and independents 18%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 65 homes, NBC 87 homes, and independents 53 homes. Test with = .05 to determine whether the viewing audience proportions changed.

Required:
Compute the value of the 2 test statistic (to 2 decimals). The p value is Has a significant change occurred in viewing audience proportions?

Answers

Answer:

- The value of the 2 test statistic is 6.98

- There is no sufficient evidence to reject the claim of the specific distribution

Step-by-step explanation:

Given

Proportion (p)

[tex]ABC = 29\% = 0.29\\CBS = 28\% = 0.28\\NBC = 25\% = 0.25\\Others = 18\% = 0.18\\[/tex]

Samples

[tex]ABC = 95\\CBD = 65\\NBC = 87\\Others = 53\\\alpha = 0.05[/tex]

First, we formulate a table for chi square totals:

[tex]x^2 = \frac{(O - E)^2}{E}[/tex]

Where

O = Observed Frequency and E = Expected Frequency

So, we have:

[tex]\begin{array}{cccccc}{\ } & {O} & {E = np} & {O - E} & {(O -E)^2} & {x^2 = \frac{(O - E)^2}{E}} \ \\ \\ {0.29} & {95} & {87} & {8} & {64} & {0.736} &{0.28} & {65} & {84} & {-19} & {361} & {4.300} & {0.25} & {87} & {75} & {12} & {144} & {1.920} & {0.18} & {53} & {54} & {-1} & {1} & {0.019}\ \end{array}[/tex]

For ABC

[tex]E = np = 300 * 0.29= 87[/tex]

[tex]O-E =95 - 87 = 8[/tex]

[tex](O-E)^2 = 8^2 = 64[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{64}{87} = 0.736[/tex]

For CBS

[tex]E =np = 300 * 0.28 = 84[/tex]

[tex]O -E = 65 - 84 = -19[/tex]

[tex](O -E)^2 = (-19)^2 = 361[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{361}{84} = 4.300[/tex]

For NBC

[tex]E =np = 300 * 0.25 = 75[/tex]

[tex]O -E = 87 - 75 = 12[/tex]

[tex](O -E)^2 = (12)^2 = 144[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{144}{75} = 1.920[/tex]

For others:

[tex]E = np = 300 * 0.18 =54[/tex]

[tex]O - E = 53 - 54 = -1[/tex]

[tex](O - E)^2 = (-1)^2= 1[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{1}{54} = 0.019[/tex]

[tex]\sum x^2 = 0.736 + 4.300 + 1.920 + 0.019[/tex]

[tex]\sum x^2 = 6.975[/tex]

[tex]\sum x^2 = 6.98[/tex] --- approximated

The value of the 2 test statistic is 6.98

Next, is to determine the p value:

Calculate the degree of freedom

[tex]df = n - 1[/tex]

[tex]df = 4 - 1[/tex]

[tex]df = 3[/tex]

Using the [tex]x^2[/tex] table in the 3rd row,

[tex]\sum x^2 = 6.98[/tex] corresponds to:

[tex]p = 0.072699[/tex]

The value of p is:

[tex]0.05 < P < 0.10[/tex]

This implies that, we fail to reject H o

Which of the following equations is equivalent to log(y) - 4 876?
A. y = 4.8764,878
B. y - 4876"
C. y - 104870
D. y = 10+4 8764.878

Answers

The answer is number c

solve for the variable. -2x + 6 = 14

Answers

Answer:

Step-by-step explanation:

-2x + 6 = 14

-2x = 8

x = -4

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

To solve for the variable x, we're going to isolate it.

First step is: Subtracting 6 by both sides:

[tex]-2x+6-6=14-6\\[/tex]

Notice how the +6 and the -6 cancel each other out. So we get:

[tex]-2x=8[/tex]

Second step is to divide both sides by -2:

[tex]\frac{-2}{-2} x=\frac{8}{-2}[/tex]

The -2's cancel each other out to:

[tex]x=-4[/tex]

Cheryl Wilcox is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,500 per month for twenty years.

(a) How much money must she deposit if her money earns 8% interest compounded monthly? (Round your answer to the nearest cent.)

(b) Find the total amount that Cheryl will receive from her payout annuity.

Answers

Answer:

35h6j7jhtgr54y6htsrhr6wrttttwy

Step-by-step explanation:

[tex]3= \frac{f}{6} -1[/tex]

Answers

Answer:

f=24

Step-by-step explanation:

3 = f/6 - 1

Multiply both sides of the equation by 6.

18=f−6

Swap sides so that all variable terms are on the left hand side.

f−6=18

Add 6 to both sides.

f=18+6

Add 18 and 6 to get 24.

f=24

Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the vertices of the rectangle are located at (2, 1), (2, 4) and (4.4). a What are the coordinates of the fourth vertex of the rectangle? b. What are the dimensions of the rectangle? c What is the area of the rectangle?​

Answers

You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

In triangle ABC, angle C is a right angle. If cos A = 5 8, what is the value of cos B?

Answers

Answer:

65

Step-by-step explanation:

pls help w this question???

Answers

Answer:

1) 25

2) x=2, 1/3

Step-by-step explanation:

not sure exactly what number of real solutions means since im not in alg anymore but hope this helps. :)

The x= 2 and 1/3 (one third)
And the answer would be 25! Hope this helped


a. Identify the relationship between the two
angles.
b. Write the equation used to represent the
relationship between the two angles.
c. Solve for the unknown variable.

Answers

Answer:

a - Mutual

b - (x+21)+(2x+3)=90

c - 3x +24 =90

3x=90-24

3x=66

X=22

Solve the systems of equations problem using Elimination.

{3x+6y=27
{x+2y=11

Please clearly explain how you got your answer.

Answers

Rearrange the 2nd equation to make x the subject
so it would be x = 11-2y
so now the 1st equation would be 3(11-2y)+6y
Expand so its 33-6y+6y
So its just 33
Knowing that y is now 33
We use that into either equations, so x+2y=11
Would be x+66=11
So x is -55

The excursion boat Holiday travels 35 km upstream and then returns to its starting point. The entire trip (both ways) took 4 hours and 48 minutes. If the speed of the boat in still water is 15 km /h and the current is 2.5km /h, how much longer is the trip upstream than the trip downstream?

Answers

Answer:

cundo estamos onectados me tocss

Step-by-step explanation:

In a code the vowels A-U in alphabetical order are replaced by the numbers 1-5, while the consonants B-Z in alphabetical order are replaced by the numbers 1-21. Thus ‘1 1 1 2’ could stand for either ‘ABAE’ or ‘BABE’. If the five words below are encoded, and the code numbers for the letters in each word are added up, which word has the largest total?
a] MATHS
b] EQUALS
c] ALGEBRA
d] PLUS
e] GEOMETRY

Answers

Answer:

A beacuse why not ya knoe

Two linear functions are shown. Which function has the greater initial​ value?

Answers

Answer:

Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.

Step-by-step explanation:

✔️Function A:

Initial value = y-intercept (b)

y-intercept is the value of y, when the corresponding value of x = 0

From the table, y = 6 when x = 0.

The y-intercept of function A = 6

Therefore, initial value for Function A = 6

✔️Function B:

y = 4x + 3 is given in the slope-intercept form, y = mx + b.

b = y-intercept = initial value.

Therefore

Initial value for Function B = 3

✔️Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.

6. A population of Florida fire ants grows at a rate of 8% a year. If there are 320 fire ants in
the initial population, find the sum of the geometric series after six population rotations.
PLZZZ HELP

Answers

Answer: 1920

Step-by-step explanation:

Please anyone help me on this

Answers

Answer:

y=-1/4x+21/4

Step-by-step explanation:

Slope=-2/8=-1/4

y=-1/4x+b

4=-1/4(5)+b

4=-5/4+b

5.25=b

21/4=b

LLLLLLLLLLL anyone need help with challenges?

Answers

Answer:

yes can you help me please

Step-by-step explanation:

Answer:

my challenge is to get brainliest

make me brainliest pls

Step-by-step explanation:

:)

If possible, evaluate the expression without a calculator. sin^-1 (-sqrt3/2)

Answers

Answer:

- 60° (or - π/3)  or 240° and 300°

Step-by-step explanation:

sin⁻¹ ((-√3) /2) : in third quadrant and 4th quadrant will produce negative sine value

sin⁻¹ ((-√3) /2) = - 60° (or - π/3)  or 240° and 300°

Untaxi viaja
ina
velocidad de 48 mph
llegar a un destino
in 2 2 horas media.
y
¿ Cuál seria su velocidad
Si se tarda dos horas?
para
llegar ​

Answers

Answer:

60 millas por hora.

Step-by-step explanation:

Dado que un taxi viaja  a una velocidad de 48 mph  para llegar a un destino en 2 horas y media, para determinar cuál seria su velocidad si se tarda dos horas para llegar ​se debe realizar el siguiente cálculo:

48 x 2.5 = 120

120 / 2 = X

60 = X

Así, su velocidad, si se tardase dos horas en llegar, sería de 60 millas por hora.

Which of the following is the correct factorization of the polynomial 4x2 - 11x +7?
A)
(4x - 1)(x - 7)
B)
(4x - 7)(x - 1)
C)
(4x - 7)(x + 1)
D)
(4x + 1)(x - 7)

Answers

Answer is D or A I think

According to a survey, about 19% of all Americans are without health insurance. Assume that this estimate is reasonably accurate. Suppose that you select a random sample of 46 Americans. (a) Calculate the expected number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.) (b) Calculate the standard deviation of the number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.)

Answers

Answer:

a) 8.74

b) 2.6607

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

According to a survey, about 19% of all Americans are without health insurance.

This means that [tex]p = 0.19[/tex]

Suppose that you select a random sample of 46 Americans.

This means that [tex]n = 46[/tex]

(a) Calculate the expected number of Americans without health insurance in the sample.

[tex]E(X) = np = 46*0.19 = 8.74[/tex]

(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607[/tex]

Do something funny........................................

Answers

Answer:

wha- okay.. umm Do something funny.......................

☁️ Answer ☁️

Here:

Have a nice day noona!~  ̄▽ ̄❤️

Here's a graph of a linear function. Write the equation that describes that function

Answers

y = 2/3x + 3 is the answer

18-10=5+5
Solve & answer T for True or F for False

Answers

Answer:

False

Step-by-step explanation:

I don't know much about math but

if u say 5+5= 10

5+10=15

nothing make 18 so

it false

The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error

Answers

Answer:

9.60πcm²

Step-by-step explanation:

Area of circular disk, A = πr²

Differntiate A with respect to r

dA/dr = π * (2r^(2-1)) /(2-1) + C

dA/dr = π * 2r/1

dA/dr = 2πr

dA = 2πr * dr

dA = 2πrdr

dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm

dA = 2π * 24 * 0.2

dA = 9.60πcm²

Workout the following divisions.​

Answers

Answer:

12x

Step-by-step explanation:

[tex]12x(8x - 20) \div 4(2x - 5) \\ \\ = 12x \times 4(2x - 5) \div 4(2x - 5) \\ \\ = \frac{12x \times \cancel{ 4(2x - 5)}}{\cancel{ 4(2x - 5)}} \\ \\ = 12x[/tex]

Find the distance between the points (-7, -9) and (9, -9).

Answers

Answer:

may be the answer is (16,-9)

Please do not send links you will be reported and removed. What is this answer in feet please

Answers

Answer:

16.2 feet

Step-by-step explanation:

Reference angle = 62°

Opposite = x

Adjacent = 8.6

Apply trigonometric function, TOA:

Tan 62 = Opp/Adj

Tan 62 = x/8.6

8.6 × Tan 62 = x

16.1742476 = x

x = 16.2 ft (nearest tenth)

Potencia con exponente negativo se queda igual. Cierto o Falso?

Answers

Answer:

Cierto

Step-by-step explanation:

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