A factory that makes granola bars uses 1/6 of a barrel of raisins in each batch.
Yesterday, the factory used 5/6 of a barrel of raisins. How many batches did the
factory make yesterday?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

(5/6) / (1/6) = 5

Answer 2

Answer:

5 batches

Step-by-step explanation:

Divide yesterday's batches by the usual.

(5/6)/(1/6) = 5

Since it only takes 1/6 to make a batch and they used 5x that we know they made 5 batches.


Related Questions

A fair six-sided die is thrown four times Find the probability, correct to three decimal places, of getting
i) exactly one six occurs
ii) at least one six occurs​

Answers

Answer:

I) 0.386 = 38.6% probability that exactly one six occurs.

II) 0.518 = 51.8% probability that at least one six occurs.

Step-by-step explanation:

For each throw, there are only two possible outcomes. Either it is a six, or it is not. The probability of a six being rolled is independent of other throws, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Thrown four times

This means that [tex]n = 4[/tex]

Probability of rolling a six:

Six sides, one of which is 6. So

[tex]p = \frac{1}{6} = 0.1667[/tex]

i) exactly one six occurs

This is [tex]P(X = 1)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.1667)^{1}.(0.8333)^{3} = 0.386[/tex]

0.386 = 38.6% probability that exactly one six occurs.

ii) at least one six occurs​

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.1667)^{0}.(0.8333)^{4} = 0.482[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.482 = 0.518[/tex]

0.518 = 51.8% probability that at least one six occurs.

Find the value of x.

Answers

Answer:

[tex]4/12=x/18[/tex]

[tex]x=4*18/12[/tex]

[tex]x=6[/tex]

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

hope it helps...

have a great day!!

25p+1t=51
solve for t​

Answers

Answer:

t = 51 - 25p

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

25p + 1t = 51

Step 2: Solve for t

[Subtraction Property of Equality] Subtract 25p on both sides:                    1t = 51 - 25pSimplify:                                                                                                             t = 51 - 25p

Help out omggggg !!!!!!

Answers

Answer:

sorry the diagram is not clear......

PLEASEEEEE HELPPPPP PLEASEEE !!!

Answers

Answer: 2

Step-by-step explanation: Rate of change is also defined as slope, so using the rise over run method, you can see that the slope of the line is +2.

Find the midpoint of the segment that has endpoints at
(a+b, a-b) and (a, b).

Answers

Answer:

((2a+b)/2 , a/2)

Step-by-step explanation:

The midpoint is the mean/average of both the x and y values.

Our x values are a+b and a

Our y values are a-b and b

The midpoint x value is (a+b + a ) /2 = (2a + b)/2

The midpoint y value is (a-b + b) /2 = (a)/2

The midpoint combines these two values to get ((2a+b)/2 , a/2) as our midpoint

Only answer if you're very good at Math.

What is the minimum value of the function g(x) = x^2 - 6x - 12?

A: -21

B: 3-√21

C: 3

D:3+ √21​

Answers

Answer:

A: -21

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

In this question:

Quadratic function:

[tex]g(x) = x^2 - 6x - 12[/tex]

So [tex]a = 1, b = -6, c = -12[/tex].

Minimum value:

This is the y-value of the vertex. So

[tex]\Delta = b^2-4ac = (-6)^2 - 4(1)(-12) = 36+48 = 84[/tex]

[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{84}{4} = -21[/tex]

The minimum value is -21, and the correct answer is given by option A.

Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?[plz help mee!!]​

Answers

Answer:

a = 137.6

Step-by-step explanation:

The building and the street make a 90 degree angle. You have the length b, which is the height 1,484ft. The angle B 84.7 is created where he stands and looks up.

First, find the missing  hypotenuse, c. Your angel A is 180 - 90 -84.7 = 5.3

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin( B)=opp/hyp

sin(84.7) = 1484 / c

c = 1484/sin(84.7)

c=1490.37

Find the last side of the triangle, in this case the distant from Leo to the building, using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} = c^{2} -b^{2} \\a^{2} =1490.37^{2} -1484^{2} \\a=137.6[/tex]

Andnhaikalnandanunnhana
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Answers

1st option im pretty sure

100 Pts!! HELP ASAP!!!!!!!!!

Write the equation of the graph shown below in factored form.
A. f(x) = (x − 3)2(x + 2)(x − 1)
B. f(x) = (x + 3)2(x − 2)(x + 1)
C. f(x) = (x + 3)2(x + 2)(x + 1)
D. f(x) = (x − 3)2(x − 2)(x − 1)

Answers

Answer:

[tex]\text{D. }f(x)=(x-3)^2(x-2)(x-1)[/tex]

Step-by-step explanation:

The equation below shows three zeroes at [tex]x=1[/tex], [tex]x=2[/tex], [tex]x=3[/tex]. By definition, these values of [tex]x[/tex] must yield a y-value of zero. Since the function bounces off of [tex]x=3[/tex], there must be two occurrences of it.

Thus, the equation of this line, in factored form, is [tex]\boxed{f(x)=(x-3)^2(x-2)(x-1)}[/tex]

I think the answer is D

i am a multiple of 7 and divisible by 4 if i am less than 30 what number am i?

Answers

Answer: 28

Step-by-step explanation:

The multiples of 7 that's less than 30 include: 7, 14 , 21 and 28.

From the numbers above,

7 isn't divisible by 4 as it gives a remainder.

14 isn't divisible by 4 as it gives a remainder.

21 isn't divisible by 4 as it gives a remainder.

28 is divisible by 4 without a remainder

Therefore, the correct answer should be 28

How to factorise? 5x+10

Answers

Answer:

5(x+2)

Step-by-step explanation:

each term, 5x and 10, have only the number 5 in common

factor out the 5 to get:

5(x+2)

What is the answer pls I need finals

Answers

Answer:

[tex]( - 2,1)[/tex]

Step-by-step explanation:

Hope it is helpful...

What is the height of a rectangular prism, if the volume is 750 cm, the length 25 cm, and the width is 5 cm?

Answers

Answer:

6 cm

Step-by-step explanation:

Volume of a prism= Length X Width x height

750 = 25 x 5 x h

750= 125h

750/125 = 125h/125

h= 6

Answered by Gauthmath

Can somebody solve this?

Answers

Answer:

∠ABC = 46°

Step-by-step explanation:

DB and BC are of same length (radius), making it an isosceles triangle.

The base of the triangle is the same at 23°, a total of 46°.

180° - 46° = 134°

But we need ∠ABC, and since points DBA lie on the circumference, it's a straight line.

Therefore, 180° - 134° = 46°

If one point on a graph is (5,5) and the slope of the line is -4, write the equation of the line in slope-
intercept form.

Answers

Answer:

y = -4x + 25

Step-by-step explanation:

[tex](x_1, y_1) = (5, 5) \ ; \ slope ,\ m = -4[/tex]

Equation of line :

 [tex](y - y_1) = m(x - x_1)[/tex]

 [tex](y - 5) = -4(x-5)\\y - 5 = -4x + 20\\y = -4x +20 + 5\\y = -4x + 25[/tex]

Answer:

0=4x+y-5

Step-by-step explanation:

slope(m)=-4

y-intercept(c)=5

now, the equation joining the straight line satisfy the equation,

y=mx+c

or, y= -4x+5

or, 4x+y-5=0

or, 0=4x+y-5

it is the required equation.

What is the mean of the following data values?
22, 37, 49, 15.92

Answers

The correct answer is 30.98

to find the mean in any data set you add all of the numbers together and then divide the sum by the total amount of numbers (in this data set it’s 4)

Answer:

30.98

Step-by-step explanation:

To solve for the mean/average of a set of numbers, you add them and divide by the number of numbers/data values.

(22+37+49+15.92)/4 = 123.92/4 = 30.98

Hope this helps and sorry if I made a mistake. :)

−8x − 6y = 24
Find the x−and y−intercepts.

Answers

Answer:

y = − 4 + 4  x 3

x = − 3 − 3  y 4

help me please with these questions

Answers

Answer:

17) option b

18) option b

19) option d

Step-by-step explanation:

17)

Cost of 25 burgers = $75

Therefore , cost of 1 burger:

                                          [tex]\frac{75}{25} = 3[/tex]

18)

Area of  rectangle = length x breadth

                 [tex]\frac{7}{6} = length \times \frac{5}{6}\\\\\frac{7}{6} \times \frac{6}{5} = length \\\\\frac{7}{5} = length \\\\Length = \frac{7}{5} \ km[/tex]

19)

                   14.25

                 x    6.3

             _________

                   4275

            +    8550              

             __________

                89.775

            ___________

Suppose you work for a marketing consulting firm and you are tasked to determine the proportion of Americans who respond positively to an ad your agency is testing for release. A survey is performed and you randomly select 134 respondents. You input your data into a statistical computing package (like Minitab) and you are given a 95% confidence interval of ( 0.2841 , 0.4472 ). You need to present these findings in the next departmental meeting. What is the correct interpretation of this interval

Answers

Answer: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).

Step-by-step explanation:

Interpretation for 95% confidence interval:

A person can be 95% confident that the true population parameter lies in it.

here , population parameter = Population proportion of Americans who respond positively to an ad your agency is testing for release.

Required interpretation: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).

Solve for x.

2x^2 − 11 = 21

x= or x=

(both x= need to be answered)

Answers

Answer:

x = 4  or x= -4

Step-by-step explanation:

2x^2 − 11 = 21

Add 11 to each side

2x^2 − 11+11 = 21+11

2x^2 = 32

Divide by 2

2x^2   /2  = 32/2

x^2 = 16

Take the square root of each side

sqrt(x^2) = sqrt(16)

x = ± 4

x = 4  or x= -4

Given the linear equation 3x + y = 5, find the slope of its graph

A) -5
B) -3
C) 3
D) 5

Which is the correct answer

Answers

Answer:

B) -3

Step-by-step explanation:

1. First you have to write the equation in slope intercept form. To do that, you must have y be alone on one side.

2. move the 3x to the right side with the 5 by subtracting 3x from both sides. Since 3x will cancel on the left, y will be left alone. [tex]y=-3x+5[/tex]

3. Now that you're in slope intercept form, you can find the slope easily. The slope will always be the number in front of x. In this case, the number in front of x is -3. Therefore, -3 is your slope!

Answer:

Answer is B

Step-by-step explanation:

if you add 3x +y = 5 and work throu

The price of a technology stock has risen to $9.84 today. Yesterday's price was $9.73. Find the percentage increase. Round your answer to the
nearest tenth of a percent.

Answers

Answer:

the answer this number ...

∠A and ∠B are supplementary angles. If
m ∠A =
(6x + 10)° and m ∠A = (4x + 30)°, then find the measure
of ∠B

Answers

Answer:

∠B = 86°

Step-by-step explanation:

Given ∠A and ∠B are supplementary angles.

That is , ∠A + ∠B = 180°

            ( 6x + 10)° + ( 4x + 30)° = 180°

             6x + 10 + 4x + 30 = 180

                 10x + 40 = 180

                 10x = 180 - 40

                     10x = 140

                      x = 14

Therefore, ∠A = (6x + 10) ° = (( 6 x 14) + 10)° = 94°

                ∠ B = ( 4x + 30)° = (( 4 x 14) + 30)° = 86°

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange. By what percentage is the grapcfruit heavier than the apple?​

Answers

Answer:

The grapefruit is 18% heavier than the apple.

Step-by-step explanation:

Orange defines the 100% in this situation.

We know that grapefruit is 8% heavier than an orange, so the weight of a grapefruit   (in percentage)  will be: 100% + 8% = 108%

And an apple is 10% lighter than the orange, then the weight (in percentage) of the apple will be: 100% - 10% = 90%

The difference between the two weights is then:

grapefruit - apple

108% - 90% = 18%

So the grapefruit is 18% heavier than the apple.

A coin is flipped 60 times and lands on heads 36 times. Based on the experimental probability, how many heads would you predict for 200 flips of the coin?

Answers

Answer:

108

Step-by-step explanation:

200 divided by 60 equals 3 then 36 times 3 equals 108

Answer:

120 heads

Step-by-step explanation:

The Experimental probability for heads is 36/60. now we have to find the experimental probability for 200 flips. so 36/60 = ?/200. We have to find a number that 60 multiplies by to get 200. That number is 200/60 = 20/6 = 3 1/3. So multiply 36 by 3 1/3: 36 * 3 = 108. 36 * 1/3 = 12. 108 + 12 = 120. So it is 120 heads

Please help!!!! I need this ASAP Help

Answers

Answer:

Step-by-step explanation:

If x is -1, then the point on the parabol is (-1,4)

If x is 0, then the point on the parabol is (0,-2)

If x is 1, then the point on the parabol is (1,-6)

A cone has a height of 20 yards and a radius of 20 yards. What is its volume?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

8377.6 yards

Step-by-step explanation:

The formula for the volume of a cone is V=1/3hπr²

then ->

[tex] \frac{1}{3} \times 20 \times \pi \times {20}^{2} = \frac{8000}{3} \pi = 8377.58041 \: yards[/tex]

Evaluate 9x^2y^-2 for x = -3 and y = 2.

324

20 1/4

9(-6)°

1/144

Answers

9514 1404 393

Answer:

  (b)  20 1/4

Step-by-step explanation:

9(-3)^2(2^-2) = 9(9)(1/4) = 81/4 = 20 1/4

please answer question 9 and 11​

Answers

Answer:

9) 5888

11) ?

Step-by-step explanation:

9) Formula = l x w x h / 3

16 * 24 * 46 / 3 = 5888

Volume = 5888, no units

I can't help with 11, im confused, sorry but hope it helps.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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