ANSWER AS MANY AS POSSIBLE

1. What is the area of a right triangle with a height of twelve and one-fourth feet and a base of 35 feet?

2.What is the horizontal distance between (16, –24) to (–3, –24)?

3.A dog food storage container is in the shape of a rectangular prism. If the dimensions of the container are 38 inches by 26 inches by 20 inches, what is the maximum amount of food that the container can hold?

4.Which of the following is the fourth vertex needed to create a rectangle with vertices located at (5, 6), (9, 6), and (5, 3)?
(5, –6)
(5, –3)
(9, –6)
(9, 3)

5. A family is building a sandbox for their yard that is shaped like a rectangular prism. They would like for the box to have a volume of 32,188.04 in3. If they already have the length measured at 59.3 inches and the width at 59 inches, what is the height needed to reach the desired volume?

6.
An office manager needs to cover the front face of a rectangular box with a label for shipping. The vertices of the face are (–6, 5), (6, 5), (–6, –4), and (6, –4). What is the area, in square inches, of the label needed to cover the face of the box?

Answers

Answer 1

The height of rectangular prism needed to reach the desired volume is 9 inches.

What is the volume of the rectangular prism?

The volume of a rectangular prism is the product of its three dimensions, that is volume = length × width × height.

V= l.w.h

l Length

w Width

h Height

Given :

volume of rectangular prism (v) 32,188.04 inches

length  of rectangular prism(l) 59.3 inches

width of rectangular prism(w) 59 inches

Since , V= l.w.h

32,188.04 = 59.3 * 59 * h

or h = 32188.04/59.3 * 59

or h = 32188.04/3498.2

or h = 9.2

Hence , the height of rectangular prism needed to reach the desired volume is 9 inches.

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Related Questions

A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel.
The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that
changes a 1 to a 0 with probability 0.1 and changes a 0 to a 1 with probability 0.2. Show your work below.


a. What is the probability a 1 is received?
b. If a 1 is received, what is the probability a 0 was sent?

Answers

Answer:

A: the probability that a 1 is received is 0.56.

B:  the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

Step-by-step explanation:

To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.

a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.

Let's denote:

P(1 sent) = 0.6 (probability a 1 is sent)

P(0→1) = 0.2 (probability a 0 is flipped to 1)

P(1 received) = ?

P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)

= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)

= 0.6 * (1 - 0.2) + 0.4 * 0.2

= 0.6 * 0.8 + 0.4 * 0.2

= 0.48 + 0.08

= 0.56

Therefore, the probability that a 1 is received is 0.56.

b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.

Let's denote:

P(0 sent) = ?

P(1 received) = 0.56

We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).

Using Bayes' theorem:

P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)

P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08

P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56

Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):

P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56

Simplifying:

P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56

= 0.08 * (1 - P(0 sent)) * (1 / 0.56)

= 0.08 * (1 - P(0 sent)) * (25/14)

= (2/25) * (1 - P(0 sent))

Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?


How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?

How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?

Answers

Notice that

13 - 9 = 4

17 - 13 = 4

so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :

149 = 9 + 4k

140 = 4k

k = 140/4

k = 35

This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.

Put another way, we have

\(\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)\)

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.

\(\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))\)

\(\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)\)

Lucy buys baseball cards in packages of 10. List the number
of baseball cards for 0 to 4 packages in the table. Then write
the ordered pairs.
Number of
Packages, x
Number of
Cards, y
Ordered Pair
(x, y)
84238*ASOSO
Baseball Cards
50
45
40
35
30
25
20
15
10
5
0
01
Plot the points in the coordinate plane to the right.
Describe the relationship between the coordinates of the ordered pairs.
(0,0)
2
456
Packages
X

Lucy buys baseball cards in packages of 10. List the numberof baseball cards for 0 to 4 packages in the

Answers

Here is the table of the number of baseball cards for 0 to 4 packages and their corresponding ordered pairs:

What are the data in the table?

Number of Packages, x | Number of Cards, y | Ordered Pair (x, y)

0 | 0 | (0, 0)

1 | 10 | (1, 10)

2 | 20 | (2, 20)

3 | 30 | (3, 30)

4 |40 | (4, 40)

To plot these points in the coordinate plane, we can use the horizontal axis for the number of packages (x) and the vertical axis for the number of cards (y), with each unit representing 1 package or 10 cards. Here is the plot:

|

50 |

45 |

40 ● (4, 40)

35 |

30 ● (3, 30)

25 |

20 ●(2, 20)

15 |

10 ● (1, 10)

5 |

0 ● (0, 0)

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

0 1 2 3 4

As we can see from the plot and the table, the relationship between the coordinates of the ordered pairs is linear, with the number of cards increasing by 10 for each additional package.

Specifically, the relationship can be described by the equation y = 10x, where y is the number of cards and x is the number of packages. This means that the slope of the line connecting any two points is always 10, and the y-intercept is 0.

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find the approximate area of the shaded region, given that the area of the sector is approximately 13.08 square units.​

find the approximate area of the shaded region, given that the area of the sector is approximately 13.08

Answers

The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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What is the median of the following numbers?
3.31,37,56, 61,57,62

Answers

Answer:

The answer might be 56 because the median is the middle of it

we can start by putting them in order from least to greatest, which is 3.31,31,37,56,57,61,62. sorry if it doesn’t make sense, but basically just need to count from either side until you get to the middle and it’s even on each side, like 3.31,37-56,57-61,62 then find the middle in 56 and 57, which is 56.5

3
Parallel to y = - -*+2 and goes through the point (5, -7)
S
please help it’s due next period

Answers

I’m not even sure hope it helped lol

What is the value of x?

What is the value of x?

Answers

The value of the angle x is 110 degrees

What is a transversal line?

A transversal is described as a line that passes two lines of distinct points

Also, we need to know that pair of angles on a straight line sums up to 180 degrees.

Supplementary angles are described as angles that sum up to 180 degrees.

Corresponding angles are also equal, then, we have that;

70 + x = 180

collect the like terms, we get;

x = 180 - 70

subtract the values, we have;

x = 110 degrees

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The total surface area of a solid cylinder is 484cm square. If it's base has a diameter of 14 cm . Find the length take(22/7)

Answers

Answer:

I believe that the answer is 22.

Step-by-step explanation:

The height would be 22, because the radius is 22, and 484/22 is 22, so I THINK this is the answer.

There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail

Answers

Answer: theres really no question here

Step-by-step explanation:

What are the points of the image of the line in Q4 after the dilation?

What are the points of the image of the line in Q4 after the dilation?

Answers

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

How is this so ?

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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I’m failing 9th grade, and I’m not good at math, if someone could help me solve this last question for homework I would appreciate it so much!!

Solve the equations below, combining like terms first.

7x+3+1x=16+3

Also if anyone can help me solve this I need to know how you done it as to I have to show work on paper. Thank you to anyone/everyone who helps me!!

Happy Halloween!!:))

Answers

Answer: x = 2

Step-by-step explanation:

7x + 3 + 1x (could be written as just x) = 16 + 3

1. combine like terms on each side, 7x + x equals to 8x and because 3 is the only term which does not have a similar pair on that side, you leave it as it is for now. Then you combine the like terms on the other side, 16 + 3 gives you 19.

2. now you have 8x + 3 = 19, since you want to keep the side with the x without any other unlike terms, you get rid of that other term (if there is one), in this case you subtract 3 on both sides because you do the opposite when you’re putting the term to the other side to isolate your variable. example: 3, it’s a positive number so you would subtract 3 on both sides cause it’s the opposite of positive 3

3. now you have 8x = 16

now that your x variable is without another unlike term on the side it’s at, you can get rid of the number in front of it (8) by dividing 8 on both sides to “get rid of it” 8/8x would cancel out and 16/8 would be 2, so your answer would be x = 2

PLEASE ANSWER FAST, THANKS! :)

PLEASE ANSWER FAST, THANKS! :)

Answers

Answer:

Step-by-step explanation:

k = 3 ; 2k + 2 = 2*3 + 2 = 6 + 2 = 8

k = 4;  2k + 2 = 2*4 + 2 = 8 +2 = 10

k =5; 2k + 2 = 2*5 +2 = 10+2 = 12

k=6;  2k +2 = 2*6 + 2 = 12+2 = 14

k = 7 ; 2k + 2 = 2*7 +2 = 14 +2 = 16

k = 8 ; 2k + 2 = 2*8 + 2 = 16 +2 = 18

∑ (2k + 2) = 8 + 10 + 12 + 14 + 16 + 18 = 78

EASY) write and equation for x then solve for x

EASY) write and equation for x then solve for x

Answers

Answer:

\(\large\boxed{\tt x = 23^{\circ}}\)

Step-by-step explanation:

\(\textsf{We are given 2 \underline{Linear Pairs}. We are asked to form an equation, and to solve for x.}\)

\(\large\underline{\textsf{What are Linear Pairs?}}\)

\(\textsf{Linear Pairs are 2 Adjacent Angles that form a 180}^{\circ} \ \textsf{angle, or add up to 180}^{\circ}.\)

\(\textsf{For our problem, these 2 angles given to us are Linear Pairs, which equal 180}^{\circ}\)

\(\textsf{when added together. Let's create an equation to find x.}\)

\(\large\boxed{\tt 180^{\circ}=93^{\circ} + (3x+18)^{\circ}}\)

\(\textsf{Now, let's solve for x by using the \underline{Properties of Equality}.}\)

\(\large\underline{\textsf{What are the Properties of Equality?}}\)

\(\textsf{The Properties of Equality are Properties that allow us to manipulate equations.}\)

\(\textsf{There are 9 properties of equality that we can use, each allowing us to simplify}\)

\(\textsf{one side of an equation. These properties are mainly used to find missing variables.}\)

\(\textsf{Let's solve for x by using the Properties of Equality.}\)

\(\large\underline{\textsf{Solving for x;}}\)

\(\tt 180^{\circ} = 93^{\circ} + 3x^{\circ}+18^{\circ}.\)

\(\textsf{Let's first Combine Like Terms.}\)

\(\tt 180^{\circ} = \boxed{\tt 93^{\circ}} + 3x^{\circ}+\boxed{\tt 18^{\circ}}\)

\(\tt 180^{\circ} = 111^{\circ} + 3x^{\circ}\)

\(\textsf{Now, let's use the Subtraction Property of Equality which states that if 2 same}\)

\(\textsf{numbers are subtracted from both sides of the equation, then both expressions}\)

\(\textsf{still equal each other. Let's subtract 111 from both sides of the equation.}\)

\(\tt 180^{\circ} - 111^{\circ} = 111^{\circ} - 111^{\circ} + 3x^{\circ}\)

\(\tt 69^{\circ} = 3x^{\circ}\)

\(\textsf{Let's use the Division Property of Equality, which is similar to subtraction but it's}\)

\(\textsf{for division. Divide each side of the equation by 3.}\)

\(\tt \frac{69^{\circ}}{3} = \frac{3x^{\circ}}{3}\)

\(\large\boxed{\tt x = 23^{\circ}}\)


The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?

The table shows the proof of the relationship between the slopes of two perpendicular lines. What is

Answers

Answer:

\(\frac{AB}{BC} = \frac{CE}{ED}\)

Step-by-step explanation:

Given

The attached proof

Required

Complete the missing piece

In (a), we have:

\(\triangle ABC \to \triangle CED\)

This implies that, the following sides are similar:

\(AB \to CE\)

\(AC \to CD\)

\(BC \to ED\)

An equation that compares the triangle can be any of:

\(\frac{AB}{BC} = \frac{CE}{ED}\)

\(\frac{AB}{AC} = \frac{CE}{CD}\)

.....

From the options;

\(\frac{AB}{BC} = \frac{CE}{ED}\) is true

kindly check if it’s correct and correct those that are wrong. thank you! as well as calculations

The following information is known for the month of December:

1. Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,900.

2. No insurance payments are made in December. Insurance expired in December is $1,400.

3. November salaries payable of $9,800 were paid to employees in December. Additional salaries for December owed at the end of
the year are $14,800.
View transaction list

4. On December 1, Golden Eagle received $2,700 from a customer for rent for the period December through February. By the end of
December, one month of rent has been provided.


Required:
For each item, (a) record any transaction during the month of December, and (b) prepare the related December 31 year-end adjusting
entry. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.)

no random answers ty!

kindly check if its correct and correct those that are wrong. thank you! as well as calculationsThe following

Answers

Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

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An athlete runs 1 500 m in 3 min. 42 s. How many seconds is this less than 4 min​

Answers

Answer:

That is really 7.8125 meters per second, if you look down here↓:

Step-by-step explanation:

So the distance is 1500 meters.

The timeline is 192 seconds.

So what Speed distance and time is?

That is: 1500 meters and 192 seconds.

Mark as brainlist or your mission is to answer 100 answers on brainly in 3 hours.

4 mins - 3 min 42 sec = 18 seconds

Please answer this correctly

Please answer this correctly

Answers

The correct answer is 5.5988 x \(10^{-3}\) = 0.0055988

Explanation:

In mathematics and related areas, it is common the expression \(10^{n}\) (n = a whole number) that multiplies a number, this is known as scientific notation, and it used to express long numbers concisely. This type of notation implies the exponent number or n represents the number of zeros in the number or the number of spaces after/before the decimal period.

Additionally, if the exponent is positive this means the zeros are placed to the right of the number, while a negative exponent shows the zeros are on the left. For example 7 x \(10^{3}\) is equal to 7000 because the exponent indicates there are three zeros to the right of 7 or you need to move three spaces the period to the right, which is located right after 7. According to this, the expression 5.5988 x \(10^{-3}\) indicates there are 3 zeros to the left of this number or that you need to move three spaces the period and add zeros in these spaces, which is equal to 0.0055988. Therefore, both numbers are equal (=)

help me plsssssssssssssssssssssssssss

help me plsssssssssssssssssssssssssss

Answers

Answer:

This answer would be c

Step-by-step explanation:

Need help!!!! Show work plz

Need help!!!! Show work plz

Answers

Answer:

24 units²

Step-by-step explanation:

A rhombus is divided into 4 right triangles when it's two diagonals intersect at right angles. All the sides are of equal lengths.

Therefore, a simple method to use to find the area of the given rhombus is to calculate the area of one of the right triangles, and multiply by 4.

Area of right triangle = ½*base*height

Height = 3

Base = \(\sqrt{5^2 - 3^2} = \sqrt{16} = 4\) (Pythagorean theorem)

Area of right triangle = ½*4*3 = 2*3 = 6 units²

Area of rhombus = 4(6 units²) = 24 units²

110 + 3x +11 = 16x + 4 solve for x

Answers

Answer:

x = 9

Step-by-step explanation:

110 + 3x + 11 = 16x + 4

121 + 3x = 16x + 4

       -3x    -3x

121 = 13x + 4

-4             - 4

117 = 13x

117 ÷ 13 = x

9 = x

Check:

110 + 3(9) + 11 = 16(9) + 4

121 + 27 = 144 + 4

148 = 148

Answer:

x=9

Step-by-step explanation:

On an architect's blueprint, 1 inch corresponds to 4 feet. Find the length of a wall represented by a line 1 inches long on the blueprint​

Answers

The length of wall in real life is 4 feet.

Given that on an architect's blueprint, 1 inch corresponds to 4 feet.

In this architect's plan, a wall represented by a line 1 inches long on the blue print.

So, the length of wall in real life is = 4 feet.

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Answer:

4ft

Step-by-step explanation:

If 1 inch corresponds to 4 ft on the blueprint. The ratio is 1 inch on the blue print for every 4 ft in real life.

Up arrow, right arrow, down arrow, left arrow, up arrow, right arrow, down arrow, left arrow. What's the conjecture

Answers

Answer:

The correct option is;

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).

Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give

Step-by-step explanation:

We have that for reflection across the x-axis, (x, y) → (x, -y)

For reflection across the y-axis, (x, y) → (-x, y)

Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;

For reflection across the y-axis, (x, -y) → (-x, -y)

For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)

Which number is NOT written in scientific notation? ​

Which number is NOT written in scientific notation?

Answers

the last one is not scientific notation because the 25.67 is greater than 10

8x-2y
10 xy
(if x = 4 and y=-7) what is this evaluation

Answers

Answer: 2xy • (4x - 5y)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 ((8 • (x2)) • y) -  (2•5xy2)

STEP 2:

Equation at the end of step 2:

 (23x2 • y) -  (2•5xy2)

STEP 3:

STEP 4:

Pulling out like terms

4.1     Pull out like factors :

  8x2y - 10xy2  =   2xy • (4x - 5y)

Final result :

 2xy • (4x - 5y)

The right answer will be 2xy • (4x-5y) ^^^

You jog 3 kilometers in 12 minutes.

At this rate, how long will it take you to complete a 7-kilometer race?

Answers

12/3 = 4 minutes
4 minutes per kilometre
4x7=28
28 minutes

Answer:

It will take 28 minutes to complete a 7-kilometer race

Step-by-step explanation:

If you can job 3 kilometers in 12 minutes, that means you can jog 1 kilometer in 4 minutes. so if you multiply 7 times 4, you would get 28. So your answer is 28 minutes.

Please help been stuck on this for hours

Please help been stuck on this for hours

Answers

The size of angle ACB to the nearest degree is 88 degree.

How is a triangle ABC put together?

Construction Steps:

Create a line segment BC with the property AC = 4 cm.

Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.

Join AB and AC now. Consequently, the necessary triangle is ABC.

With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.

Cut an arc of 3 cm from point B.

Embrace BC and AC

Triangle with  angle ABC is necessary.

< ACB = 88 degree

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Pedro makes a loaf of bread that weighs 24 ounces. He gives į of the loaf to his
sister and 20% of the loaf to his friend. He eats the rest himself. How much bread,
nounces, does Pedro eat?

Answers

Answer:

19.2oz

Step-by-step explanation:

i mean idek what j is so i did 20% of 24 and that was my answer

btw 20% of 24 is 4.8

Shelia is making a cake. She
needs 1/3 of a cup of oil. She
has 1/4 of a cup. How much
more does she need

Answers

She need 1/12 cup of oil. A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.

What is meant by fraction?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. fraction, A number expressed as a quotient in arithmetic, in which a numerator is divided by a denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator. A fraction is a portion of a whole number and a method of dividing a number into equal parts.

How to find how much cup she want?

She needs 1/3 cup of oil She have 1/4 cup of oil

To find how much need to obtain 1/3 of cup

we need to subtract what we have from what we need.

so , we have 1/4 and need 1/3

 = 1/3 - 1/4

 = \(\frac{1 * 4}{3 * 4} - \frac{1 * 3}{4 * 3}\)

 = 1/12

she need 1/12 cup of oil more to make cake.

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Mrs. Becker is selling tickets to an art exhibit, but she lost the receipts. She knows that she has sold at least 20 tickets. The adult tickets (x) cost $14 and the children’s tickets (y) cost $12. If she knows she has sold no more than $420 worth of tickets, write a system of inequalities to model the ticket sales.

Answers

9514 1404 393

Answer:

x+y≥2014x+12y≤420

Step-by-step explanation:

Variables are defined in the problem statement.

  x + y ≥ 20 . . . . . . . . at least 20 tickets were sold

  14x +12y ≤ 420 . . . . sales were at most $420

If f(x) = 3x -7, what would be the first step in finding f(2)?

Answers

F(2) is the same as (3x-7)(3x-7)
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