A recipe uses cups of milk to make servings. If the same amount of milk is used for each serving, how many servings can be made using gallon of milk?

Answers

Answer 1

Answer:

128 servings

Step-by-step explanation:

A recipe Uses 1 1/4 cups of milk to make 10 servings if the same amount of milk is used for each serving how many servings can be made using one gallon of milk

Cups of milk : number of servings = 1 1/4 cups : 10 servings

One gallon of milk = 16 cups

Let x = number of servings

Cups of milk : number of servings = 16 cups : x

Equate both ratios

1 1/4 : 10 = 16 : x

5/4 ÷ 10 = 16/x

5/4 × 1/10 = 16/x

5/40 = 16/x

1/8 = 16/x

Cross product

1 * x = 8 * 16

x = 128 servings

Number of servings = 128


Related Questions

how many ""words"" can be formed by rearranging inquisitive so that u does not immediately follow q?

Answers

Total 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

In the given question, we have to find how many "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

The given word is INQUISITIVE.

The total alphabets in the word INQUISITIVE is 11.

Let us first count the words without U and then insert U wherever applicable.

Now without U we have total 10 alphabets and the alphabet I is repeated by 4 times.

So permutations is 10!/4! = 151,200

Now we need to put U, we can see its 11 alphabets but U should not follow Q so it becomes 10 alphabets.

Hence, Total number of words = 151,200*10

Total number of words = 1,512,000

Hence, 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

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How do you determine if two pairs of functions are inverses?

Answers

First make the graph of the functions, then  if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Symmetric

A figure or shape that can be divided into two equal parts by a line is called symmetric figures.

Inverse Functions

The inverse function of a function f  is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by F^-1.

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What does AA SSS and SAS mean in geometry?

Answers

SSS means side side side, SAS means side angle side and AAA means angle angle angle.

There are some postulates which can be used to prove that the two given triangles are similar. If two triangles are similar then we can find as a result that their respective sides and angles are also equal.

If three sides are given then we will use the SSS postulate

If two sides and one angle is given then we will use the SAS postulate

If three angles are given then we will use the AAA postulate.

Therefore SSS, SAS, and AAA are postulated that are used to prove two triangles are similar.

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Is the number 16 a square?

Answers

Yes, the number 16 is a square.

It is the square of the number 4, since 4 x 4 = 16.

A square root is a factor in mathematics that, when multiplied by itself, equals the initial number. For instance, 3 and -3 are both square roots of 9.

The square of a number's root is the value under the root. For instance, (3 + 2) = 3. Any even number's square unit will only include even numbers.

Each and every nonnegative real number x has a distinct nonnegative square root, known as the primary square root, which is represented by the symbol x, also known as the radical sign or radix. As an illustration, we write 9=3 to denote that 3 is the number 9's fundamental square root. The word (or integer) whose square root is being examined is known as the radicand. The word or number that appears beneath the radical symbol, in this case, 9, is referred to as the radicand. The principal square root can alternatively be expressed in exponent notation for nonnegative x as x1/2.

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What's the inverse of 2?

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

the inverse of a number a is [tex]\frac{1}{a}[/tex]

then

the inverse of 2 is [tex]\frac{1}{2}[/tex]

Hiya, just need help with this. Thanks

Answers

Answer:

C, D

Step-by-step explanation:

Compare each choice with

x² + 5x - 8 = 0

A.

x² + 7x - 9 = 2x + 1

x² + 5x - 10 = 0

No

B.

x² + 4x - 5 = x - 3

x² + 3x - 2 = 0
No

C.

x² + 10x - 2 = 5x + 6

x² + 5x - 8 = 0

Yes

D.

12x + 4 = 7x + 12 - x²

x² + 5x - 8 = 0

Yes

Answer: C, D

A label printer prints 5 pages of labels in 4.5 seconds. How long will it take to print 160 pages of labels?

Answers

Answer:

144 seconds

Step-by-step explanation:

4.5 seconds = 5 pages

x second = 160 pages

cross multiply

you get: 5x= 160 ×4.5

which equals 720 divide it by 5 you get 144

How to find multiple missing numbers in a given integer array with duplicates in Java?

Answers

The best way to find multiple missing numbers in a given integer array with duplicates in Java is to use a hash set and loop.

First, create a HashSet and add all elements from the array to it. Then, loop from 1 to the maximum element of the array and check if each number is present in the HashSet. If the number is not present, it is a missing number. To explain further, a hash set is an efficient data structure for storing unique elements of a collection, and using a loop to check for missing numbers ensures that all numbers from the array are accounted for.

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What is Y =- 2x on a graph?

Answers

The equation Y=-2x is a linear equation, which can be plotted on a graph as a straight line.

The equation can be written in slope-intercept form as y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is m=-2 and the y-intercept is b=0. Therefore, the equation can be written as y=-2x+0.

The slope of the line is negative, meaning that as x increases, y decreases. The y-intercept is zero, which means that the line passes through the origin (0,0).

For example, if x = 2, then y = -2(2) + 0 = -4. Therefore, the point (2, -4) is on the line. Similarly, if x = 4, then y = -2(4) + 0 = -8, so the point (4, -8) is also on the line.

The graph of the equation y=-2x would thus be a line starting at the origin (0,0) with a negative slope. As x increases, y decreases, and the line never crosses the y-axis.

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For a normal distribution, a negative value of z indicates O the z is to the right of the mean D a mistake has been made in computations, because z is always positive. o the area corresponding to the z is negative. O the z is to the left of the mean.

Answers

For a normal distribution, a negative value of z indicates D. the z is to the left of the mean.

What is a normal distribution?

A continuous probability distribution known as the "normal distribution" has values that are symmetrically distributed mostly around the mean.

The standard deviation determines the width of the curve in a normal distribution, which depicts a symmetrical plot of data around its mean value. It is represented graphically by the "bell curve.

Z is the number of standard deviations from the mean given by the formula:

z = ( X - μ ) ÷ ( σ )

where

x is the raw score,

μ is the population mean, and

σ is the population standard deviation

A negative value means that the number of standard deviations of an observation is to the left of the mean.

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What is the factor of 42?

Answers

Answer:

Step-by-step explanation:

42 is an even number so it is divisible by 2

42 divided by 2=21

42 has digits that add up to give 6

If the sum of a number adds up to give 3, 6 or 9 that number is divisible by 3

42 divided by 3=14

Factors of 42 are 21 and 2 and 14 and 3 and 42 and 1

What are the 3 consecutive odd numbers whose sum will be 45?

Answers

The 3 consecutive odd numbers whose sum will be 45 are 13 , 15 and 19 .

What are consecutive numbers ?

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1, 2, 3, 4, 5, 6, and so on are consecutive numbers.

Since, we know that any odd number is always of the form (2k +1). We express an odd number in this form because we know that an odd number is not divisible by 2.

Now, the next odd number after (2k+1) will be (2k+3) because if we take (2k+2) then we can see that it is clearly divisible by 2.

Let the 3 numbers be x ,x+2 , x+4

The sum of numbers is 45

⟹x+x+2+x+4=45

3x+6=45

3x=39

x=13

Hence , the 3 consecutive odd numbers whose sum will be 45 are 13 , 15 and 19 .

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How do you find the height of a triangle when you know the base and area?

Answers

We can determine the height of a triangle when we know the base and area of the triangle using the area formula of triangle in base and height, that is

A = 1/2 × b × h

A triangle is a three sided polygon. The height of the triangle is the perpendicular distance of the not-included vertex to the considered base.

The formula to determine area of a triangle of base b and height h is

A = 1/2 × b × h

Therefore to determine the height of a triangle when base and area is given, we substitute the given values in appropriate units in the formula.

h = 2×A/ b

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LET f be the function given by f(x) = 4xe^3x

Answers

These values were found [tex]\lim_{x \to -\infty} f(x) = 0[/tex]  & [tex]\lim_{x \to \infty} f(x) = \infty[/tex] from the given equation.

What is the limit?

A limit in mathematics is the value that a function approaches as its input approaches some value. Limits are used to define continuity, derivatives, and integrals in calculus and mathematical analysis.

We have,

f(x) = 4xe³ˣ / 1

f(x) = 4xe³ˣ

[tex]\lim_{x \to \infty} f(x) = ?[/tex]l

[tex]\lim_{x \to -\infty} f(x) = ?[/tex]

[tex]\lim_{x \to -\infty} f(x) = \lim_{x \to -\infty} 4xe^{3x}[/tex]

It is the form -∞ * 0 which is an undetermined form

Write it has a fraction then apply l'Hospital's Rule

[tex]\lim_{x \to -\infty} \frac{4x}{1 / e^{3x} } = \lim_{x \to -\infty} \frac{4}{ -3e^{3x} / e^{6x} }[/tex]

[tex]= \lim_{x \to -\infty} \frac{4}{-3/e^{3x}} } = \lim_{x \to -\infty} \frac{4e^{3x}}{ -3 }[/tex]

[tex]= \frac{4e^{-x}}{ -3 }[/tex]

[tex]= \frac{0}{ -3 } = 0[/tex]

[tex]\lim_{x \to \infty} f(x) = \lim_{x \to \infty} 4xe^{3x}[/tex]

Simply evaluate

[tex]\lim_{x \to \infty} 4xe^{3x} = \infty * \infty = \infty[/tex]

 (∞*∞ is not an undetermined form).

f(x) = 4xe³ˣ

[tex]\lim_{x \to -\infty} f(x) = 0[/tex]

[tex]\lim_{x \to \infty} f(x) = \infty[/tex]

Hence, these values were found [tex]\lim_{x \to -\infty} f(x) = 0[/tex]  & [tex]\lim_{x \to \infty} f(x) = \infty[/tex] from the given equation.

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help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

g

=

p

2

m

Step-by-step explanation:

How many four-digit personal identification numbers (pin) are possible if the pin cannot begin with a 0 and the pin must be an odd number?.

Answers

If the four-digit personal identification number (PIN) cannot start with a 0 and must be an odd number, then 0 four-digit pins are conceivable.

There are 10 possible digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) that can be used in a four-digit PIN. However, we are told that the PIN cannot begin with a 0, so there are only 9 possible digits that can be used for the first digit.

For the second, third, and fourth digits, any of the 10 digits can be used. Therefore, there are 9 x 10 x 10 x 10 = 9,000 four-digit PINs that can be created using any of the 10 digits.

We are also told that the PIN must be an odd number. This means that the last digit of the PIN must be odd. There are 5 odd digits (1, 3, 5, 7, and 9), so there are 5 possible digits that can be used for the last digit.

For the first three digits, any of the 9 digits that can be used for the first digit can be used. Therefore, there are 9 x 10 x 10 = 900 four-digit PINs that can be created using only odd digits.

However, we have double-counted the PINs that begin with 0. Since these PINs are not allowed, we need to subtract them from the total number of possible PINs. There are 9 x 10 x 10 = 900 four-digit PINs that begin with 0, so we need to subtract these from the total number of possible PINs.

The final number of possible four-digit PINs that cannot begin with 0 and must be odd is 900 - 900 = 0. Therefore, there are 0 four-digit PINs that meet these criteria.

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Water flow from a faucet into a tank at the rate of 0. 15 liter per minute, and water leak out of the tank at the rate of 0. 27 liter per minute. If there are 4. 8 liter of water in the tank, how long will it take to empty the tank?

Answers

The rate of flow for emptying the tank would be 0.15 liter/minute.

The rate at which the water level in the tank is changing is given by the equation:

ΔV/Δt = flow rate in - flow rate out

where ΔV is the change in the volume of water in the tank, Δt is the time interval over which the change occurs, and flow rate in and flow rate out are the rates at which water flows into and out of the tank, respectively.

In this case, the flow rate is 0.15 liter per minute, and the flow rate out is 0.27 liter per minute. The volume of water in the tank is 4.8 liters.

To determine how long it will take to empty the tank, we can set the volume of water in the tank to 0 and solve for the time interval:

0 = flow rate in - flow rate out

flow rate out = flow rate in

0.27 liter/minute = 0.15 liter/minute

Since the equation is not balanced, we cannot determine the time interval. In order to determine the time interval, we need to have information about both the flow rate in and the flow rate out. Without this information, it is not possible to determine how long it will take to empty the tank.

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Brayden is ordering T-shirts for Student Government to
wear during the next volunteer event. He ordered 32 T-
shirts from Mascot Universe. However, Mascot Universe
reduced the price of each T-shirt by $6 for being a school
partner. The total came to $288. Write and solve an
equation to determine the cost per T-shirt.
What is the value of x in the equation
7
- =
9
2/3
x-7?

Answers

How many pattern block trapezoids would create 2 hexagons?

(a.a+a.b+a.c) +b.a+b.b+b.c)

Answers

Answer:

this it's no a math problem

The liu family buys 20 pounds of chicken at the local market for $50. Which equation can be used to represent the cost, c, of buying x pounds of chicken at the same price per pound?.

Answers

Answer:

[tex]c=2.50x[/tex]

Step-by-step explanation:

The cost per pound of chicken is [tex]50/20=\$2.50[/tex].

So, the equation is [tex]c=2.50x[/tex].

Choose one scenario below and translate it into an inequality (do not solve). Be sure to use the equation editor. (4 points)
Scenario 1: You have $500 to spend on a car rental for your birthday weekend trip. The car rental company charges $95 per day to rent the car and charges $0.85 per mile. If you rent the car for three days, what is the maximum amount of miles you can drive to stay under budget?
Scenario 2: Suppose that you start a lawn mowing business. Your start-up costs include the purchase of a self-propelled mower for $475. On average, you spend $1.50 per lawn for oil and gas. You charge $35 per lawn. How many lawns must you mow to make a profit?
FOLLOW-UP (6 Points)
Solve one of the inequalities written by your peers. Be sure to show ALL work using the equation editor. In your follow-up tell us what you think about the situation. Is it a good idea? Would you partake? If not, what would need to be different for you to be interested in the scenario?

Answers

The situation can be expressed in inequality as: 95x + 0.85y ≤ 500

On solving the maximum amount of miles that can be driven to stay under budget is 253

What is inequality?

If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.

For example, x > 3 (x should be greater than 3)

According to the given question:

Total amount to spend is restricted to $500

Let the number of days be x and extra miles covered be y

The car rental company charges $95 per day to rent the car and charges $0.85 per mile.

Therefore the situation van be expressed as:

95x + 0.85y ≤ 500

If the car is rent for 3 days then the maximum amount of miles that can be driven to stay under budget are

95(3) + 0.85y ≤ 500

285 + 0.85y ≤ 500

0.85y ≤ 215

y ≤ 253

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What is 3 decreased by the quotient of 9 and a number

Answers

The answer for this is 11-9/x

P varies inversely with x. If p = 14 when x = 16, find the value of p when x = 21.

Answers

The value of p when x = 21 is p = 32/3 .

Given :

we know that ,

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form  p * x = k or p = k / x

we know that

For p = 14, x = 16

Find the value of k

k = p * x

substitute the values

k = 14 * 16

= 224

so

The equation is equal to

p = 224 / x

if x = 21

substitute the value of x in the equation

p = 224 / 21

Divide by 7 both numerator and denominator

p = 32 / 3

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What is length base and height?

Answers

The base is the length of one of the triangle's sides, and the height is the distance from that side to the triangle's opposite corner.

What is triangle?

A triangle is a polygon having three vertices and three edges. It is a fundamental geometric figure. Triangle ABC represents a triangle with three vertices: A, B, and C. Any three non-collinear points constitute a unique triangle and, by extension, a unique plane in Euclidean geometry. Triangles are polygons with three vertices that have three sides. The triangle's angles are constructed by joining the three sides end to end at a point. The triangle's three angles add up to 180 degrees.

Here,

The base of the triangle is the length of one of its sides, and the height is the distance from that side to the triangle's opposite corner.

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What is the quotient of ¾ divided by ½?

Answers

3/2 is the quotient when 3/4 is divided by 1/2

How to divide fractions?

When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal. Finding the reciprocal of the second fraction and this can be obtained by reversing its numerator and denominator—is and then dividing the  fractions. Multiply the two numerators after that. Multiply the two denominators after that, After that we need to simplify the fraction to its lowest form.

what is quotient?

When we divide one number by another, the result obtained is also known as quotient.

so in order to find the quotient when both fraction is divied

quotient of the division = [tex]\frac{3}{4}[/tex] ÷[tex]\frac{1}{2}[/tex]

=> (3/4) / (1/2)

=> (3/4) * 2

=> 3/2

so quotient of the division = 3/2 or 1.5

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What is a domain of a function examples?

Answers

The domain of the function [tex]f(x)=\frac{1}{x}[/tex]  is all real numbers except 0.

What is the Domain of function?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's domain is the collection of values it can take as input.

For example, let us take a function [tex]f(x)=\frac{1}{x}[/tex].

For this function, the domain is all the values x can take.

Here x cannot take 0 because 1/0 is not defined.

So, the domain of the function is all real values except 0 which can also be written as:

Domain= R-{0}

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Determine whether or not the equations represent a direct variation. Sort the equations into the appropriate category.
Direct Variation
Not Direct Variation
y=3x
x=-1
y=(2/7)x
-0.5x=y
y=22x+7
y=4

Answers

Answer:

Direct Variation

y = 3x

y = (2/7)x

y = -0.5x

NOT Direct Variation:

x = -1

y = 4

y = 22x + 7

Step-by-step explanation:

Direct Variations are in the form

y = kx

This is very similar to:

y = mx + b except the b MUST be zero.

Also, direct variations always go through (0,0) that's why b must be 0.

So easy to pick out:

y = 3x

y = (2/7)x and

y = -0.5x are all in the form y = kx and have a y-intercept of zero.

y = 22x + 7 has that extra +7 tacked on to the end of the equation. It does not go through (0,0). It has a b that is 7. So it starts at (0,7). It is not a direct variation.

The other two, x = -1 and y=4 are both not direct variations. Neither starts at (0,0).

x=anumber is a vertical line and y=anumber is a horizontal line. These are not direct variations.

These are the first 5 terms in a fibonacci sequence. 1, 4, 5, 9, 14. Write down the next 2 terms in the sequence

Answers

Answer:

The next two terms in the Fibonacci sequence would be 23 and 37.

Step-by-step explanation:

The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. So the next term in the sequence is found by adding the two previous terms, like this:

1 + 4 = 5

4 + 5 = 9

5 + 9 = 14

9 + 14 = 23

14 + 23 = 37

A rectangular sheet of paper 42 cm x 16 cm is rolled along its length and a cylinder is formed . Find the volume of the cylinder

Answers

Since a rectangle is rolled along length then circumference of circle is equal to length of rectangle and breadth equals to height.

=) 2*pi*r = 42cm

=) 2*22/7 * r = 42cm

=) r = 42*7 / 2*22

=) r = 147/22 cm

Since Volume of cylinder = pi* r^2*h

= 22/7 * 147/22 * 147/22 * 16 cm^3

= 2245.09 cm^3.

The sum of the two numbers is 36. The larger number is 10 more than the smaller number. What is the larger number?.

Answers

If the sum of two numbers is 36 and the larger number is 10 more than smaller number then the larger number is   .

the Sum of two numbers is given to be = 36 ;

also given that " larger number is 10 more than smaller number " ;

let the larger number be = "x" , and

the smaller number be = "y" .

So , according to the question ⇒ x + y = 36 ;

and x = y + 10 , putting x in above eqn.

we get , y + 10 + y = 36

2y + 10 = 36

2y = 36 - 10

2y = 26

y = 26/2 = 13

and x = 13 + 10 = 23 .

Therefore , the larger number is 23 .

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PLZZ HELPP ILL GIBE BRAINLIST The king or queen serves a ceremonial role and the people elect aParliament to make lawsA)Autocracy B) representative democracy C)constitutional mirarchy D) absolute monarchy 14kmFind the area of the triangle.A)52 km2B)84 km2C)168 km2D)336 km2 Romeo and Juliet: List at least THREE key events that happen in Act II of the film QUADRATIC EQUATIONS HELP 1) When Samuel goes to school, he has to walk 480 yards east of his house and then 360 yards south to arrive to his school. How far does he have to walk to get to school from his house? If he decides that he will cut his distance by going across a park directly from his house to school how far will he have to walk? By how much is it shorter to go across the park then going around the park?In your picture, you should have the house, the school, the path from the house to school around the park and path from the house to school across the park. Label the path around the park with their values. Label the path across the park with a variable. The path across the park and the path around the park form a right triangle with the right angle between the two parts of the path around the park. Label the right angle. Since the paths form a right triangle, you can use Pythagorean theorem to find the distance from the house to school across the park. The general Pythagorean formula is a2 + b2 = c2 where a and b represent the legs and c represents the hypotenuse.Once you find the distance, find out the total distance Samuel has to travel around the park. Then you will be able to find out by how much farther it to go around the park.2) A 100 feet tower needs an anchor line. For the tower to be stable, the anchor line has to be attached to the top of the tower with its other end on the ground 32 feet from the tower. How long has to be the anchor line for the tower to be stable? Sketch the picture of the tower, the anchor line and the distance from the tower. You will form a right triangle with the right angle between the tower and the ground. Label the height of the tower and the distance from the tower. Label the length of the anchor line with a variable. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1.3) You want to buy a new tv. In a store, you see a tv that you like with a diagonal of 20 inches and length of 16 inches. Will this tv fit on a shelf that is 13 inches high? Sketch the picture of the frame of the tv. Draw the diagonal of the tv. Label the diagonal and the length of the tv. To find out if the tv fits on the shelf, you will have to find the height of the tv. The diagonal of the tv and its length and height form a right triangle with the right angle between the length and the height of the tv. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1. Once you find the height of the tv, explain whether it will fit on the shelf or not and why. PLEASE PLEASE HELP! No websites please! What Is the difference between the number of students who earned a score 90 or greater In class 2 and the number of students who earned a 90 or greater in class 1 What is the length of FG?(Picture of Question Below!)A. 1.2B. 3C. 3.6D. 4 ( IT IS NOT D!)E. 6 Question 1 of 5Which present-day state did the United States gain as part of the Treaty ofGuadalupe Hidalgo?A. CaliforniaB. LouisianaC. OklahomaD. OregonSUBMIT A 3kg horizontal disk of radius 0.2m rotates about its center with an angular velocity of 50rad/s. The edge of the horizontal disk is placed in contact with a wall, and the disk comes to rest after 10s. Which of the following situations associated with linear impulse is analogous to the angular impulse that is described?a. A 3kg block is initially at rest. An applied force of 3N is applied to the block, but the block does not move.b. A 3kg block is initially at rest. A net force of 3N is applied to the block until it has a speed of 10m/s.c. A 3kg block is initially traveling at 10m/s. An applied force of 3N is applied to the block in the direction of its velocity vector for 10s.d. A 3kg block is initially traveling at 10m/s. The block encounters a 3N frictional force until the block eventually stops. HELP WITH THIS PLEASE!!! What is the function of the digestive system?A. Removal of liquid wasteB. Maintain body temperature and hormone levelsC. Delivers food to your brainD. Changes food into minerals and nutrients that are absorbed intobloodstream A substantiated opinion is best supported bypersonal opinions.individual thoughts.expert opinions.common beliefs.