A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins. How many batches of granola bars did the factory make yesterday? Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Answers

Answer 1

Answer:

The factory made 3 batches of granola bars.

Step-by-step explanation:

Given that:

1/6 barrel of raisins is used in each batch of granola bars.

1/6 barrel = 1 batch

1/2 barrel = x batches

As the relationship is proportional,

1/6 : 1 :: 1/2 : x

Product of mean = Product of extreme

[tex]\frac{1}{6}x=\frac{1}{2}[/tex]

Multiplying both sides by 6

[tex]6*\frac{1}{6}x=\frac{1}{2}*6\\x=3[/tex]

Hence,

The factory made 3 batches of granola bars.


Related Questions

Someone help meeee??? Pleaseeee

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Answer:37

Step-by-step explanation:

(5x7)+2

35+2

=37

Needs help fast, I can’t get the right answer

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9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The ratio of any corresponding coordinates will give the scale factor.

Using the x-coordinates of C' and C, we have ...

  scale factor = C'/C = 4/6 = 2/3

The dilation scale factor is 2/3.

PLEASE SOMEONE DO THIS QUESTION FOR ME ASAP!! GIVING BRAINLIEST

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Answer:

5:15

Step-by-step explanation:

my phone is cracked and i can’t see the question, sorry!

please help!!!!! :(((

Answers

Answer:

tho im very confused what 1.25 means. im pretty sure its 1 1/4

Which costs the most per ounce, 60 oz. of peanut butter for $5.40, 28 oz. for $2.24, or 16 oz. for
$1.76? Explain how you got your answer.

Answers

13.13,,,,explanation 5.25 x 100/40 is 13.125 which rounds up to 13.13

Simplify the expression. 12x + 9 - 3X -4​

Answers

9x+5 is the simplified version. Hope this helps!

Find the area of all shaded regions. Give your answer as a completely simplified exact value in terms of pi. (no approximations)

Answers

To find the area of the shaded region, you first use the equation A = πr²

The radius of the circle is 9 cm. So A = π(9²)

A = 3.14 (81)

A = 254.34 (entire circle)

The entire circle is 360°

and 4.5 of the 80°'s will equal 360°

254.34 ÷ 4.5 = 56.52

ANSWER: 56.52 cm²

Answer:

56.55 cm^2

Step-by-step explanation:

Since a circle is 360 degrees and the piece is 80 degrees, the shaded area is 4.5 of the total area of the circle (9/2). Find the area of the circle:

[tex]\pi r^{2}[/tex]

[tex]\pi 9^{2}[/tex]

[tex]\pi 81[/tex]

[tex]254.47/4.5[/tex]

56.55 cm^2

What is the equation of this graph? Pre-calc semester B PLATO

Answers

Answer:

D

Step-by-step explanation:

The other ones don’t match up to the graph

f is inversely proportional to √ g . When f = 10 , g = 121 Work out g when f = 11

Answers

Answer:

Hope the attached helps!

Step-by-step explanation:

Section 1
Decide which is TRUE for b. when b = 16.
To get to her parents' house, Helen would have to drive due north 16 kilometers. To get to her grandparents' house, she would
have to drive due east 12 kilometers. What is the straight-line distance between the parents' and grandparents' houses?
kilometers

Answers

Answer:

for points

Step-by-step explanation:

I need help with a question that has to do with Ratio and Proportion. I want to know how to do it, not just only the answer.

Answers

Answer:

y is = 15

please mark me as brainest

Which ordered pair is a solution of the equation? y +1 = 3(x – 4)​

Answers

Answer:

Y=-1

X=4/3

Step-by-step explanation:

14. Given: trapezoid WXYZ with midsegment ST. If WZ = 15 and ST = 20, find the length
of XY.

A. 10
B. 25
C. 5
D. 35

Answers

Who’s doing school on a Sunday

Which is an equation of the line that passes through the points (-4,-2)
and (4, 2)

Answers

Answer: y = one half x

                     

A recommendation for wheelchair ramps is that the rise-to-run ratio be no greater than 1:12. This ensures that the ramps are navigable by people in wheelchairs. If a business needs to install a concrete ramp to the entrance of their building, which is 12 inches off the ground, how long should the ramp be and how far out horizontally on the ground will it protrude from the building? Give answers in feet and inches, such as 5 feet, 4 inches. What percent grade is the ramp?

Answers

Answer:

a. 12 feet b. 12 feet 0.5 inches c. 8.33 %

Step-by-step explanation:

a. How far out horizontally on the ground will it protrude from the building?

Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.

So, by ratios rise/run = 1/12 = 12/x

1/12 = 12/x

x = 12 × 12

x = 144 inches

Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet

b. How long should the ramp be?

The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.

So, L = √(12² + 144²)

= √[12² + (12² × 12²)]

= 12√(1 + 144)

= 12√145

= 12 × 12.042

= 144.5 inches

Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches

c. What percent grade is the ramp?

The percentage grade of the ramp = rise/run × 100 %

= 12 inches/144 inches × 100 %

= 1/12 × 100 %

= 0.0833 × 100 %

= 8.33 %

Amy and Roger both wash windows at a large downtown building. Amy can wash 25 windows In 4 hours, Roger can wash 32 windows in 6 hours. How many windows can they wash together in 12 hours? [Type your answer as a number.)​

Answers

Answer:

139 windows

Step-by-step explanation:

you multiply the 25 by 3 because Amy washes 25 windows per 4 hours and 3x4 is 12 so that would be 75 then you multiply the 32 by 2 because 6x2 is 12 so that would be 64 then you add the 64 and 75 which would give you 139 windows for both of them in 12 hours

The sum of 25 and twice a number is 75. Find the number.

Answers

Answer:

50

Step-by-step explanation:

25*2= 50+25= 75

Answer:

25

Step-by-step explanation:

75-25=50/2=25

Solve.
4x+3y=5
2x+3y=1

x=?
y=?

Answers

Answer:

x = 2, and y = -1. Point form: (2, -1)

Step-by-step explanation:

You solve the system of equations, by solving for one variable, and then subsitiute that variable into the other equation.

The value of x = 2

The value of y = -1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be = A
Let the second equation be = B

Now , we have two equations

4x + 3y = 5   be equation (1)

2x + 3y = 1    be equation (2)

Now , on simplifying the equations , we get

Subtracting equation (2) from equation (1) , we get

2x = 4

Divide by 2 on both sides , we get

x = 2

Substitute the value of x in equation (1) , we get

4 ( 2 ) + 3y = 5

8 + 3y = 5

Subtract 8 on both sides , we get

3y = -3

Divide by 3 on both sides , we get

y = -1

Therefore , the value of x and y is 2 and -1 respectively

Hence , The value of x = 2

The value of y = -1

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Stephanie put $80 in her bank account when she was 5
years old. The bank gave her a simple interest rate of 2.1%.
Does she have enough money to buy a TV for $1,000 after
leaving her money in the bank for ten years?

Answers

Answer:

Mynd44

Step-by-step explanation:

Here, we want to check if the amount of money saved is enough to

by a tv

Mathematically, we have the simple interest formula as follows;

I = PRT/100

I = (80 * 2.1*10)/100

I = 1680/1000 = 1.68

Hence, she will not have enough

Consider the line with a slope of -1 through the point (-1,3).What is the y-intercept (b) of the line​

Answers

Answer:

y = -x + 2

Step-by-step explanation:

slope = -1 ;  (-1 , 3)

Equation: y - y1 = m (x - x1)

y - 3 = (-1)(x -[-1])

y - 3 = (-1) (x + 1)

y - 3 = -x - 1

    y = -x - 1 + 3

   y = -x + 2

Answer:

y=-x+2

Step-by-step explanation:

Solve for y. 3y - 2x = 9​

Answers

I believe it is 8...............

Before beginning voice lessons, Wanda already knew how to sing 19 pieces, and she expects to learn 1 new piece during each week of lessons. After 12 weeks of voice lessons, how many pieces will Wanda be able to sing, in total? ​

Answers

Answer:

19+12 = 31 pieces

Step-by-step explanation:

Solve each of the following inequalities:
(if you could ,pls show me the steps.im kinda clueless in this topic)

1-) 15 + 3x < 21
2-)18 ≤ 7y + 4
3-) 19 - 4x ≥ 27

Answers

Answer:

1.x=12

2.y=2

3.x=2

Step-by-step explanation:

Solving an Inequality with No Solution

Write the inequality.

Distributive Property

Subtract 8x from each side

Simplify.

help plsssssssssssssss

Answers

Answer:

The golf ball is 2 times as likely to be orange as it is to be pink

Step-by-step explanation:

Anyways, i hope this is right and i hope i helped!

x – 15 = 60
What is the answer

Answers

x=75 is your answer

Answer:

x=75

Step-by-step explanation:

What is the slope of the line shown in the graph?
-undefined
-3/2
- -3/2
- -1/2

Answers

Answer:

2/3

Step-by-step explanation:

geometry:(
*image shown above*

Answers

Answer:

c = 44

Step-by-step explanation:

convert these sums into decimal.
(a) (b)
3 13
--- ----
5 20

(c) (d)
13 8
----- -----
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Answers

a) 0.6
b) 0.65
c) 0.104
d) 0.32

(7x −4 y 15 )(4x 14 y −3 )

Answers

Answer:

=11x+10y+12

Step-by-step explanation:

7x +4x -4y+14y 15-3

11x 10y 12

=11x+10y+12

At a store, notebooks are on sale for 78% off the regular price. The cost of a notebook is represented by n. Which of the following expressions does NOT represent the sale price of the notebooks?

Answers

Answer:

I Think Its D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

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