A factory uses 1/8 of a barrel of raisins in each natch of granola bars. Yesterday, the factory used 1/4 of a barrel of raisins. How many batches of granola bars did the factory make yesterday? Simplify you answer and state it as a fraction or as a whole or mixed number.

Answers

Answer 1

Question:

A factory uses 1/8 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/4 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?

Answer:

The factory made 2 batches of granola yesterday.

Step-by-step explanation:

Our ratio from the question is given as:

1/8 barrel of raisins = 1 batch of granola

Hence: 1/4 barrel of raisins = x batches of granola.

Cross Multiply

1/8 × x = 1/4 × 1

x = 1/4 ÷ 1/8

x = 1/4 × 8/1

x = 2 batches of granola

Therefore, the factory made 2 batches of granola yesterday

Related Questions

The scale on a map is 4 cm = 25 miles. Dave measures the distance to the next town at 9 cm. How many miles away is the next town?

Answers

Answer:

58.333....

Step-by-step explanation:

8cm=50

1cm so 25/3

8.3333333333

Answer:

56.25 or 56 1/4

Step-by-step explanation:

If 4 cm is equal to 25 miles then we can divide 25 by 4 to see how many miles is in 1 cm.

25 divided by 4 is 6.25 or 6 1/4

Therefor 1 cm is equal to 6.25 miles.

Now we multiply 9 by 6.25 to get 56.25

Factor the expression completely.

Answers

Answer:

Factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]

Step-by-step explanation:

We need to factor the expression [tex]xy^4+x^4y^4[/tex] completely

We need to find common terms in the expression.

Looking at the expression, we get [tex]xy^4[/tex] is common in both terms, so we can write:

[tex]xy^4+x^4y^4\\=xy^4(1+x^3)[/tex]

So, taking out the common expression we get: [tex]xy^4(1+x^3)[/tex]

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

So, we get:

[tex]xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)[/tex]

Therefor factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]

What is the center of the circle x² + y2 - 4 = 0?

Answers

Answer:

(0,0)

Desmos graphing calculator is a great way to enter the formula of a circle and see a visual example.

Answer: (0,0)

Explanation: The equation for a circle is (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the vertex and r is the radius. Rearranging the given equation, we have that x^2 + y^2 = 4. Therefore, the center of the circle is (0,0), and its radius is 2.

Given R'S'T'U' is a dilation of RSTU, find the scale factor of dilation.

Answers

Answer:

The scale factor of a dilation is 3.

Step-by-step explanation:

Given the length ST of the rectangle RSTU

The length ST of the rectangle = 8 units

It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8

i.e.

S'T' = 3(ST)

S'T' = 3(8) ∵ ST = 8

S'T' = 24

It indicates that the RSTU has been dilated by a scale factor of 3.

As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.

Therefore, the scale factor of a dilation is 3.

Given quadrilateral RSTU, what is the measure of angle R? HELPPPPPPP PLEASEEEEE!!!!!!

Answers

Answer: did you ever get the answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

In 1970, the median home value was $20,000. By 2020, the median home value was $320,000. What is the percent increase in home value in those 50 years?

Answers

Answer:

1500%

Step-by-step explanation:

The formula for Percentage increase is

Increase/ Initial Amount × 100

Increase = Current Amount - Initial Amount

Increase = $320,000 - $20,000

Increase = $300,000

Percentage Increase =

$300,000/$20,000 × 100

= 1500%

The percent increase in home value in those 50 years is 1500%

triangle ABC has perimeter 22cm
AB= 8cm
BC= 5cm
by calculation deduce whether triangle ABC is right-angled triangle

Answers

9514 1404 393

Answer:

not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

AB +BC +CA = 22

8 + 5 + CA = 22

CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

CA² = 9² = 81

The triangle is not a right triangle.

_____

Additional comment

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)

What is an equation of the line that passes through the points (-7, -7) and (-7, 4)

Answers

Answer:

x=-7

Step-by-step explanation:

y=mx+c

m=rise over run

m=0

x=-7

HELP AS SOON AS POSSIBLE PLEASE!

Answers

Answer: A is correct

Step-by-step explanation:

all possible chances between two people are 100 different possibilities. Once you add the possibilities, you can see there is 15 balloons with the medium prize. Multiply 15 by 2 and you'll get 30/100, which simplifies to 3/10

Antonio tried to evaluate an expression. Here is his work: (57–8+5)÷9(17–14) = (49+5)÷93 Step 1 = (49+5)÷27 Step 2 = 54÷27 Step 3 = 2 Step 4 Is Antonio's work correct?

Answers

Answer:

Antonio's work is correct but his method is not

Step-by-step explanation:

(57–8+5)÷9(17–14) = (49+5)÷9

Antonio work:

Step 1 = (49+5)÷27

Step 2 = 54÷27

Step 3 = 2

Correct working:

Step 1:

Addition first

-8 + 5 = -3

= (57 - 3) ÷ 9(3)

Step 2:

= 54 ÷ 27

Step 3:

= 2

Antonio's work is correct but his method is not

He subtracted first when he is supposed to add first according to the rule of BODMAS

B - bracket

O - off

D - division

M - multiplication

A - Addition

S - subtraction

10x + 5 - 2x + 9x.

HELP IMMEDIATELY PLEASEEE

Answers

Answer: 17x+5

Combine 10x to the 9x which would be 19x then subtract the 2x which gives you 17x+5

Answer: 17x+5

Step-by-step explanation:

10x+5-2x+9x

10x-2x+9x+5

17x+5

Which function has a greater rate of change? Function 1 Function 2 X-1 -2 -3 2 3 y 3 5 7-3-5 A) Function 1 B) Function 2 C) Neither, they are equal D) Neither, one is nonlinear ОА OB ОС

Answers

Answer:

Step-by-step explanation:

Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?

Help out pls ill mark u brainliest

Answers

Answer:

B = 119

C = 119

Step-by-step explanation: 180 - 61

B and C are vertical angles

ASAP plzzz answer 1 and 2!!! Directions are on the screenshot!! 50 pts + Brainliest

Answers

Answer:

- 1 -4 for the botome one

Step-by-step explanation: sorry thats all i got

Answer:

negative 1 -4

Step-by-step explanation:

The side lengths of two similar solids are in the ratio 1:3
What is the ratio of the areas?

Answers

Answer:

Step-by-step explanation:

3000 of 1/10

3000*0.1=300

what's the quotient of 35.86÷2.2

Answers

Answer:

The answer to your question is 16.3.

Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is two years older than Quentin. The sum of the siblings’ ages, in years, is 48. How old is Alicia?

Answers

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

1-yes rhombus

2-no rhombus

3-yes rhombus

A pipe is leaking in the school bathroom. It has leaked 3 gallons of water in 6 hours.
COP=
HELPP PLZ

Answers

Answer:

It leaks half a gallon each hour.

Step-by-step explanation:

Answer:

Call the plumber

Step-by-step explanation:

If the school people refuse, make a petition. Ask around if they want a new pipe or fix it and collect their signatures. If the school still refuses, you can report them to the cops. If this was a question, it leaks 1/2 gallon per hour.

Select the three situations that model a sum of zero.
Explain your answer.

Answers

i believe it’s the first third and fourth because, 10 and -10 cancel out to 0, moving 12 and going -12 back also cancels out and the car returns to the ground so the toy car ends in the same place it started

Answer:

Step-by-step explanation:

1,2,4

Need Help ASAP.

Use the graph to answer the following questions. (NOTE: LOOK AT THE KEY!!!)

How many years does it take a cardboard box to decay?
A.) 8
B.) 4
C.) 20
D.) 25

Answers

Answer:

Step-by-step explanation:

jdjdjsnnxkdkcndjkx

Answer:

20 years

Step-by-step explanation:

Hope this helps!

Brainiest?

1 Which formula shows a linear equation?
A. C = 2ar
B. A = ar?
C.V=ar
D.dA =-(

Answers

Answer:

A=AR is the answer

Step-by-step explanation:

HOPE IT HELPS YOU PLEASE MARK AS BRAINLIEST

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