Mathematics College

William made 1/2 gallon of lemonade to divide equally among 3 people. How much lemonade will each person?
a) 1/6 gallon
b)2/3 gallon
C) 1/5 gallon
d) 3/2 gallon

Answers

Answer 1
its 1/6 gallon as 1/2 /3 = 1/2 . 1/3= 1/6

Related Questions

PLEASE HELP ASAP Arrange the expressions in increasing order of their values.

(10⁰x 10¹ x 1¹⁰) (10 x 10¹) (10⁰+10¹+1¹⁰) (10⁰+10¹x 1¹⁰)

Answers

For this case we have the following expressions:
 (10⁰x 10¹ x 1¹⁰)
 (10 x 10¹)
 (10⁰ + 10¹ + 1¹⁰)
 (10⁰ + 10¹x 1¹⁰)
 Rewrite we have:
 (1x 10 x 1) = 10
 (10 x 10) = 100
 (1 + 10 + 1) = 12
 (1 + 10x 1) = 11
 Answer:
 In increasing order we have:
 (10⁰x 10¹ x 1¹⁰)
 (10⁰ + 10¹x 1¹⁰)
 (10⁰ + 10¹ + 1¹⁰)
 (10 x 10¹)

Final answer:

After calculating the values of the expressions, they can be arranged in increasing order of their values as follows:

(10⁰x 10¹ x 1¹⁰), (10⁰ + 10¹x 1¹⁰), (10⁰ + 10¹ + 1¹⁰), (10 x 10¹).

Explanation:

To arrange the expressions in increasing order of their values, we must first calculate the value of each expression.

(10⁰ x 10¹ x 1¹⁰): Here, 10⁰ = 1, 10¹ = 10, and 1¹⁰ = 1 (since any number to the power of zero is 1). Multiplying these together, we get 1 x 10 x 1 = 10.(10 x 10¹): This equals 10 x 10 = 100.(10⁰+10¹+1¹⁰): Adding these values together gives us 1 + 10 + 1 = 12.(10⁰+10¹ x 1¹⁰): Following the rules of operations (multiply before adding), first calculate 10¹ x 1¹⁰ which equals 10 x 1 = 10, then add 10⁰ which is 1. So, this gives 1 + 10 = 11.

Now we can arrange the expressions in increasing order:

(10⁰x 10¹ x 1¹⁰) (10⁰ + 10¹x 1¹⁰) (10⁰ + 10¹ + 1¹⁰) (10 x 10¹)

GETS BRAINLIEST AND 11 PTS!

Maggie has 7 tiles with pictures of plants and 2 tiles with pictures of animals. Maggie keeps all the tiles on a mat with the pictures hidden and mixes them up. She then turns one tile face up and finds the picture of a plant on it. She removes this tile from the mat and turns over another tile without looking. What is the probability that the second tile that Maggie turns over has a plant on it? 22.2% 28.6% 65.0% 75.0%

@musiclover10045

Answers

I believe the answer to this one would be 75.0%

the hall family garden is 3/4 of an acre. if they divide their garden into 1/8 acre sections, how many sections will they have?

Answers

we know that
The hall family garden is ------------> 3/4 of an acre
if they divide their garden into 1/8 acre sections
so
(3/4)/(1/8)-------> (3/4)*(8)--------> 8*3/4------> 24/4-----> 6 sections

the answer is
6 sections

Answer:

6 sections

Step-by-step explanation:

A collection of dimes and quarters worth $9.25. There are 46 coins in all. Find how many of each there are. How many dimes are there?

Answers

If all were quarters, the value would be 46*$0.25 = $11.50. The actual value is $2.25 less than that. Replacing a quarter with a dime reduces the value by $0.15, so there must be $2.25/$0.15 = 15 dimes

There are 15 dimes.

2.
Find the annual percentage rate, using the annual percentage rate table.
Amount Financed: $8,900

Finance Charge: $1,030.62

Number of Payments: 24

Answers

Amount Financed: $8,900
Finance Charge: $1,030.62
Number of Payments: 24

(Finance Charge)/(Amount Financed)*100$=($1,030.62)/($8,900)*100$
(Finance Charge)/(Amount Financed)*100$=(0.1158)*100$
(Finance Charge)/(Amount Financed)*100$=$11.58

In the row of number of Payments 24, we look for:
(Finance Charge)/(Amount Financed)*100$=$11.58, and we to which annual porcentage rate it corresponds in the first row

Answer: The annual percentage rate is 10.75%

WANT TO BE THE BRAINLIEST PLZ ANSWER STEP BY STEP

Answers

A and C, because the others are incorrect, if you look at the chart you can see that B and D are not true as its the complete opposite.
The answer is c because hip hop is preferred more than country in the 9-11 age group

Find the greatest common factor of 30 and 60

Answers

The greatest common factor of 30 and 60 is 15 because 15 times 2 is 30 and 15 times 4 is 60.

I hope this helped

Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula [ BLANK ] The value of f(-1) is [BLANK] The value of f(-4) is .[BLANK] The average rate of change of f(x) over the interval [-4, -1] is .[BLANK]

First set of answers: A. [f(-4)-f(-1)]/[-5]
B.[f(-1)-f(-4)]/[-5]
C.[f(-1)-f(-4)]/[3]
D.[f(-4)-f(-1)]/[3]


Second set of answers: A.3 Third set: A.-4 Final set A.-2
B.2 B.-3 B.-1.5
C.-1 C.4 C.2
D.4

Answers

Answers:
The formula is [f(-1)-f(-4)]/[3]
The value of f(-1) is 3
The value of f(-4) is -3
The average rate of change is 2

==============================================

Explanation:

For the first blank, we use the formula
[ f(b) - f(a) ]/[ b - a ]
where 'a' and 'b' are the endpoints for the x interval

In this case, a = -4 and b = -1. When you plug those values into the formula above, you get...
[ f(b) - f(a) ]/[ b - a]
[ f(-1) - f(-4)]/[ -1 - (-4) ] 
[ f(-1) - f(-4)]/[ -1+4 ]
[ f(-1) - f(-4)]/[ 3 ]
which is why the answer is choice C for the first blank

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

To compute the value of f(-1), we draw a vertical line through -1 on the x axis. This vertical line crosses the diagonal function graph at the point (-1,3). The y value of this point is what we want. Plugging in x = -1 leads to y = 3. This is why f(-1) = 3
If you want, you can draw a horizontal line through (-1,3) and you'll see it touching 3 on the y axis.

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

Follow similar steps as above to compute f(-4). Draw a vertical line through x = -4 on the x axis. Mark the point where the vertical line crosses the diagonal line. This point is (-4,-3). Optionally draw a horizontal line over til you hit the y axis and you'll find that y = -3 corresponds to x = -4

This is why f(-4) = -3

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

We'll use the last three sections to compute the average rate of change. Everything combines together building up to this moment.

From the first part, we had the formula
[ f(b) - f(a) ]/[ b - a ]
[ f(-1) - f(-4)]/[ 3 ]

We can replace the "f(-1)" with 3 since we found that f(-1) = 3
Similarly, f(-4) = -3 so we can replace the "f(-4)" with -3

Doing those replacements and simplifying leads to...

[ f(-1) - f(-4)]/[ 3 ]
[ 3 - (-3)]/[ 3 ]
[ 3 + 3]/[ 3 ]
6/3
2

So the average rate of change is 2

Note: because the entire graph is a straight line, the average rate of change for any interval a < x < b is going to be equal to the slope m. In this case, the slope of the line is m = 2/1 = 2. We move up 2 units each time we move to the right 1 unit along the diagonal line.

Mary used a thermometer to measure the temperature of water at different states. What would the Celsius thermometer read when water froze and became a solid ?
A) -32 o
B) 0 o
C) 25 o
D) 32 o

Answers

it would be answer choice B) 0^o (0 degrees)
It would be B in Celsius

Identify one characteristic of exponential growth.

A. A graph that is an increasing curve
B. A common ratio between 0 and 1
C. A common ratio less than 0
D. A common difference greater than 0

Answers

A. Exponential growth is called growth because it increases, so A is correct.
B. A common ratio between 0 and 1 would result in decay, not growth
C. A common ratio less than one would just reflect the graph across the x-axis. It does not give any information about whether or not it is exponential growth.
D. Exponential growth functions have no common differences.

Thus, A is the correct answer.

Exponential growth features a quantity increasing at a constant growth rate. The correct answer is Option A.

Exponential growth is characterized by a situation where a quantity increases at a constant growth rate. It is often represented graphically by an increasing curve.

This means that as time progresses, the rate at which the quantity grows also increases. For example, the population of a species might grow slowly at first, but as it becomes larger, the growth rate accelerates.

Given the options in the question, the correct answer is:

Option A. A graph that is an increasing curve

Hey can you please help me posted picture of question

Answers

The statement above is TRUE.
When two probabilities are multiplied together, then the probability represents a compound event. In probability, a compound event refers to two or more events that are happening simultaneously. The calculation goal is usually to find the probability of all those events actually occurring.

# 14. Q. find the area of rectangle

Answers

The answer is 112 ft^2

You must multiply the height and the width.

8 x 14 = 112
Area of a rectangle is the product of its Length and Width.

Area = Length x Width

From figure we can see,

Length = 14 ft
Width = 8 ft

So, Area = 14 x 8 = 112 ft²

Thus, the option third gives the correct measure of Area for given rectangle 

BRAINLIEST!!!!


Triangle Z' is the image of triangle Z after a series of transformations.
Aliyah and Ivan described the sequence of transformations in different ways.
Which sequence or sequences are correct and why?

GRID AND ANSWERS PROVIDED IN IMAGES!

Answers

Both Aliyah and Ivan are correct because both chose the correct scale factor for the dilation and both describe other transformations that would produce triangle .  

Answer:

The third option is correct.

Step-by-step explanation:

NEED HELP ASAP PLEASE

Answers

Divide any term by the previous term.

For example,

(3/28) / (-1/4) = 3/28 * (-4/1) = -12/28 = -3/7

Answer: -3/7

A rectangular table is six times as long as it is wide. If the area is 294 ftsquared​, find the length and the width of the table.

Answers

42 length   7 width
please respond back if it was correct

the width of a rectangular table is 7 feet and the length of a rectangular table is 42 feet.

The area of a rectangular table is 294 ft².

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Let the width of a rectangular table be x.

Then, six times as long as it is wide = 6x

Area of a rectangular table = 6x × x

⇒ 6x²=294

⇒ x²=49

⇒ x=7 feet

So, length=6x=42 feet

Therefore, the width of a rectangular table is 7 feet and the length of a rectangular table is 42 feet.

To learn more about the area of a rectangle visit:

brainly.com/question/20693059.

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Hey can you please help me posted picture of question

Answers

Sample Space is the set of all possible outcomes that could occur for an event.

For example, sample space for tossing a coin will be {H, T} ,where H stands for Head and T stands for Tail

Likewise sample space for throwing a dice will be: {1, 2, 3 ,4, 5 ,6}

Thus, the answer to this question is option A

The appropriate definition is ...
  A. The set of all possible outcomes.

Factor completely a2 - 9a + 20

Answers

(a - 5)(a - 4)
You can check, the numbers add up, because -5 - 4 is 9, and 5 * 4 is 20
a^2-9a+20=a^2-5a-4a+20=(a^2-5a)+(-4a+20)
a^2-9a+20=a(a^2/a-5a/a)+(-4)(-4a/(-4)+20/(-4))
a^2-9a+20=a(a-5)-4(a-5)
a^2-9a+20=(a-5)[a(a-5)/(a-5)-4(a-5)/(a-5)]
a^2-9a+20=(a-5)(a-4)

Find a negative real number such that the square of the sum of the number and
25 is equal to 36

Answers

"The square of the sum of the number and 25 is equal to 36" translates to 
[tex](n+25)^2=36[/tex]

Take square root of both sides:

[tex]|n+25|=6\quad\Longrightarrow\quad n+25 = 6\ \text{ or }\ n+25=-6[/tex]

Then subtract both sides by 25:

[tex]n = 6-25\ \text{ or }\ n=-6-25\\\ \\\boxed{n=-19\ \text{or}\ n=-31}[/tex]

Hope this helps.

Find the dimensions of a rectangle with an area of 100 square feet that has the minimum perimeter.

Answers

The polygon with the shortest perimeter for a given area is a regular polygon. The regular 4-sided polygon is the square.

The side length of the square with an area of 100 ft² is √(100 ft²) = 10 ft.

The rectangle with the minimum perimeter for an area of 100 ft² is 10 ft by 10 ft.
Final answer:

The rectangle with an area of 100 square feet that has the minimum perimeter is a square with sides of 10 feet each.

Explanation:

To find the dimensions of a rectangle with a particular area that has the minimum perimeter, the rectangle should be a square. This is because squares minimize perimeter for a fixed area.

Given the area of the rectangle (square in this case), which is 100 square feet, the sides would be the square root of the area. Therefore, in this case, the length and the width of the rectangle (also known as the dimensions) are both √100 = 10 feet.

Hence, the rectangle with an area of 100 square feet and minimum perimeter is a square with side lengths of 10 feet.

Learn more about Minimum Perimeter here:

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Hey can you please help me posted picture of question

Answers

Answer: option C. Emily got 12 text messages, adn 5 were from Jasmine. The probability a text message is from Jasmine is 5/12.

Explanation:

All the other options are theoretical probabilities because they were determined using the equation:

probablity = number of positive events / total number of possible events.

While, experimental probabilities are determined from actual results of an experiment (test). That is what the option C. describes. It compares the number of times that she actually got a message (5) with the number of trials (12). It is not determined theoretically.

"A magician performing a magic act has asked for 2 volunteers from the audience to help with his routine. If there are 250 people in the audience, which of the following expressions represents the number of possible pairs of volunteers?"

Answers

The answer should be 250 objects taken 2 at a time

Number of people in the audience = 250

     Number of volunteers required to perform the magic act from the audience =2

As 2 people can be selected from 250 people by using the properties of combination as order of choosing people is not important.

Possible number of ways = [tex]_{2}^{250}\textrm{C}[/tex]

                      = [tex]\frac{250!}{2!\times 248!}=249 \times 125=[/tex]

                      = 31125 ways




You backpacked for a distance of 15.75 miles today. If you backpacked at an average speed of 1.26 miles per hour, how many hours did you spend backpacking today?

Answers

1 hour = 1.26 miles.

Total hour = 15.75 ÷ 1.26 = 12.5 hours

Answer: 12.5 hours

Please help! What is the simplest form of expression

Answers

It should be A

First you should reduce the fraction

Subtract the exponent by its common variables;
x^8 - x^2 = x^6
y^9 - y^4 = y^5

Now your equation should be \frac{ \sqrt{6x^{6}y^{5} } }{ \sqrt{5} } 

Then you should simplify your radical,
there are 3 groups of 2 in the x variables and 2 groups of 2 in the y variables, as a result, the x and y go outside the square root, and one y variable remains in the root (as there wasn't enough y's to make another group of 2) this should be over 5

at elm elementary school for every 5 students who walk to school there are 7 students who take the bus.if 420 students attend elm elementary school how many of them walk to school? tell me how you got the answer and will mark brainliest

Answers

175 students walk to school. 7+5=12 and 420 divided by 12 is 35. I checked how I did it was correct because of 5*35+7*35=420. Then I found the product of 5*35 which is 175.

The students walk to school is 175.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

let the ratio of students who walk to students who take bus = 5: 7

let the common ratio be x.

So, Number of students who walk = 5x

and, Number of students who Bus= 7x

Total students= 420

So, 5x+ 7x = 420

12x= 420

x= 35

Hence, students walk to school =5  x 35 = 175.

Learn more about ratio here:

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Sam entered three functions into a graphing calculator, y1 = x + 2, y2 = x2 + 2, and y3 = 2x. A portion of the table created by those functions is shown below.

Answers

We have the following functions:
 y1 = x + 2
 y2 = x ^ 2 + 2
 y3 = 2 ^ x

 For x = 0:
 y1 = 0 + 2 = 2
 y2 = 0 ^ 2 + 2 = 0 + 2 = 2
 y1 = y2

 For x = 5
 y2 = 5 ^ 2 + 2 = 25 + 2 = 27
 y3 = 2 ^ 5 = 32
 y3> y2

 For x = -1:
 y1 = -1 + 2 = 1
 y2 = (-1) ^ 2 + 2 = 1 + 2 = 3
 y3 = 2 ^ (- 1) = 1/2 = 0.5
 y3 <y1 <y2

 Answer:
 y1 = y2
 y3> y2
 y3 <y1 <y2

Find the area for the given shape below

Answers

To find the area of a triangle given its base and its height, use the formula A = bh/2.

The base of the triangle is 14m.
The height of the triangle is 10m.

Plug these values into the formula and solve.

A = bh/2
A = 14(10)/2
A = 140/2
A = 70

Answer:
The area of the triangle is 70 m².

15 + (-18) =
Please help quick

Answers

-3



hope this help........................

Find the area in the first quadrant under the curve y = 1 / (x^2+6x+10)

Answers

The area is given by

[tex]\displaystyle\int_0^\infty\frac{\mathrm dx}{x^2+6x+10}[/tex]

Complete the square in the denominator:

[tex]x^2+6x+10=x^2+6x+9+1=(x+3)^2+1[/tex]

then substitute [tex]x+3=\tan y[/tex], so that [tex]\mathrm dx=\sec^2y\,\mathrm dy[/tex]. Then as [tex]x\to0^+[/tex], we have [tex]y\to\arctan3[/tex]; as [tex]x\to\infty[/tex], we have [tex]y\to\dfrac\pi2[/tex]. So the integral becomes

[tex]\displaystyle\int_{\arctan3}^{\pi/2}\frac{\sec^2y}{\tan^2y+1}\,\mathrm dy=\int_{\arctan3}^{\pi/2}\mathrm dy=\dfrac\pi2-\arctan3[/tex]

During a basketball game a player makes 12 of 18 free throws attempted write the ratio as fraction reduced to the lowest term

Answers

To make this a fraction, let's put [tex] \frac{12}{18} [/tex] . We can divide both top and bottom by 6, leaving us with [tex] \frac{2}{3} [/tex] . This is as far as we can reduce it, making it your answer. I hope this helps!

Final answer:

The ratio of free throws made to free throws attempted by the player is 12/18, which can be reduced to its lowest terms by dividing both numbers by their greatest common divisor, 6, resulting in the reduced fraction 2/3.

Explanation:

To find the ratio of free throws made to free throws attempted, we start by looking at the numbers given: 12 made out of 18 attempted. We express this ratio as a fraction 12/18.

To reduce this fraction to its lowest terms, we need to find the greatest common divisor (GCD) that divides both numerator and denominator evenly.

In this case, the number 6 is the GCD of 12 and 18. Dividing both the numerator and the denominator by 6, we get 2/3.

Hence, the ratio of free throws made to free throws attempted, reduced to the lowest term, is 2/3.

12% of 250 is what answer

Answers

The answer is 30.

Hope this helped :)
alisa202
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