Mathematics High School

## Answers

**Answer 1**

The set of **transformations** that is performed on triangle ABC to form triangle A′B′C′ is C. A **translation** 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.

What is a translation?

A **translation** is a geometric transformation when each point in a figure, shape, or space is moved in a specific direction by the same **amount**. A translation can also be thought of as moving the **coordinate** system's origin or as adding a constant vector to each point.

In this case, it can be seen that the shape was rotated counterclockwise twice. That's 90° × 2 = 180°

Therefore, the **transformation** that is performed on triangle ABC to form triangle A′B′C′ is a **translation** 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.

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## Related Questions

What is 1 2/3 minus -5 2/3?

Please do it fast!

### Answers

**Answer:**

7 1/3

**Step-by-step explanation:**

1 2/3 - (-5 2/3)

1 2/3 + 5 2/3

7 1/3

need help !! Please somebody help

### Answers

**Answer:**

The bottom Option

**Note:**

Due to my sus vibes from your questions, this is the last one I am answering from you. this is basic and easy if you read it.

What is a real word situation for 10y-3

### Answers

The **real world situation **will be , Ram buys y pens and each pen costs $10 . How much he need to pay if he has already paid $3.

It is given that an **equation** is **10y - 3.**

We have to write a **real world situation** representing above** **equation.

**What is algebra ?**

**Algebra **is the branch** **that deals with** **various** symbols **and the arithmetic** operations **such as **addition , division , etc.**

As per the question ;

The **expression** given is 10y - 3.

Let's** **write a **real world situation **representing the above equation.

Ram buys y pens and each pen costs $10 . How much he need to** **pay **more** if** **he has already paid $3.

Let's assume no. of pens be 4** **i.e., y = 4.

So ;

He need to **pay more** ;

= 10 × 4 - 3

= 40 - 3

**= $ 37**

Thus , the **real world situation **will be , Ram buys y pens and each pen costs $10 . How much he need to pay if he has already paid $3.

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What is the greatest common factor of 35 and 25

### Answers

**Answer:**

5

**Step-by-step explanation:**

5 |35 | (5 is the divisor and 35 is the dividend)

= 7|

For 25;

5 |25|

=5

35 = 5 * 7

25 = 5 * 5

Now, common factor =5

A cup of cereal has 12 grams of fiber, which is 40% of the amount of fiber Jared's

doctor recommends he consume each day.

How much fiber does Jared's doctor recommend he consume each day?

### Answers

**Answer:**

Jared's doctor recommends he consume 30 grams of fiber each day.

**Step-by-step explanation:**

Jared's doctor recommends he consume 30 grams of fiber each day. We know this is the answer because, if we divide 12 grams by 40%, we get 30 grams which means, 12 grams is 40% of 30 grams.

Answer:

30 grams

Step-by-step explanation:

Let the doctors recommendation be

12g = 40/100 × x

x = 12g ÷ 40/100

x = 12g × 100/40

x = 12g × 5/

x = 60g/

x = 3g

What is the ratio for sin A?

### Answers

According to the given **triangle** the value of sin A = 4/5

In a right-angled** triangle**, the sin of an angle is equal to the ratio of the opposing side to the** hypotenuse** according to the sin theta formula.

Sin A = Opposite angle /** hypotenuse= 4/5**

There are about six **trigonometric ratios**—sine, cosine, tangent, cosecant, secant, and cotangent—which describe the many configurations that can be made in a right-angled triangle.

**Trigonometry **can only be used to solve a side of a right-angled triangle when the lengths of the other two sides and the angle of a side are already known. Before utilizing algebra to determine the value for the unknown side, one must first select a ratio that includes both the unknown and the given sides.

We are aware that the angle-length relationship in right-angled triangles will be covered in** trigonometry.**

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In the picture there is a **triangle **with ABC angles. Sides AB=5, BC=3, CA=4. The **ratio **of SinA=3/5.

Given that,

In the picture there is a **triangle **with ABC angles.

Sides AB=5, BC=3, CA=4

Trigonometric **ratios**, which contain the values of all trigonometric functions, are based on the **ratio **of sides of a right-angled **triangle**. The **ratios **of a right-angled **triangle's **sides with regard to a certain acute angle are known as its trigonometric **ratios**.

The right **triangle's **three sides are as follows:

Hypotenuse (the longest side)

Perpendicular (opposite side to the angle)

Base (Adjacent side to the angle)

According to the sin theta formula, the sin of an angle in a right-angled **triangle **is equal to the **ratio **of the opposite side to the hypotenuse.

Sin A = Opposite side / hypotenuse

SinA=3/5

Therefore, SinA=3/5.

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An investigator wants to test for the presence of simple sugars in a sample. She adds reagent to her sample and also to a sample of distilled water. What reagent should she have added?.

### Answers

The investigator can test the presence of simple sugars in the sample by using **Benedict's solution**.

What is Benedict's test ?

Simple carbs are tested for using Benedict's Test. With free** ketone** or **aldehyde** functional groups, reducing sugars (monosaccharides and some disaccharides) are recognized by the Benedict's test.

What is Benedict's solution?

Benedict's solution turns orange or brick red when heated in the presence of simple **carbohydrates**. The reducing characteristic of simple carbs is what triggers this response. The Benedict's solution changes color as a result of the reduction of copper (II) ions to copper (I) ions.

The produced red copper(I) oxide precipitates out of solution because it cannot be dissolved in water. This explains how the precipitate was created. The closer the final hue is approaching brick-red and the more precipitate is generated as the reducing sugar concentration rises. Copper oxide, a brick-red solid, can occasionally **precipitate** out of a solution and gather at the test tube's bottom.

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Evaluate the expression if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2 . − | 10 − 7 r + 8 m + 2 p |

### Answers

**Answer:**

-53

**Step-by-step explanation:**

if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2

-| 10 - 7r + 8m + 2p |

**Substitute the given values into the equation.**

-| 10 - 7(5) + 8(-4) + 2(2) |

**Simplify**

-| 10 - 35 + -32 + 4) |

-| -53 |

**= -53**

**Absolute value of -53 is 53 however there is a negative sign outside of it, so the answer is -53**

a number is chosen at random from the positive, even integers from 2 to 50. find the probability that the number chosen is divisible by 5 or 8.

### Answers

The** probability **that the number chosen is dividible by 5 or 8 is 0.306.

According to the given question.

A number is chosen at random from the positive even integers from 2 to 50.

Now the total positive intergers from 2 to 50 which are divisible by 5 or 8 are {5, 8, 10, 15, 16, 20, 24, 25,30, 32, 35, 40, 45, 48, 50}

So, there are total 15 positive intergers from 2 to 50 which are divisible by 5 or 8.

⇒ Total number of favourable outcomes = 15

And the total positive integers from 2 and 50 is 49.

⇒ Total number of outcomes is 49.

As we know that,** proabability** is calculated by taking the ratio of favourable outcomes to the total number of outcomes.

Therefore, the **probability** that the number chosen is divisible by 5 or 8

= 15/49

= 0.306

Hence, the** probability **that the number chosen is dividible by 5 or 8 is 0.306.

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What number is halfway between -46.3

and 46.31?i

### Answers

The **number **that is **halfway **between the **numbers **-46.3 and 46.31 will be **46.305.**

We are given the two **numbers**:

- 46.30 and 46.31

Now, we need to find a **number **that is **halfway **between the given **numbers**.

For this, we need to find the **mid point **between the two **numbers **that is given to us.

**Mid point **is calculated as:

| x | + | y | / 2

**Substituting **the **values **in the **expression**, we get that:

46.3 + 46.31 / 2

= 92.61 / 2

= 46.305

Therefore, we get that, the **number **that is **halfway **between the **numbers **-46.3 and 46.31 will be **46.305.**

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question 10(multiple choice worth 1 points) (01.01 lc) what is the rational number equivalent to 1 point 28 with a bar over 28? 1 and 6 over 97 1 and 28 over 99 1 and 8 over 33 1 and 5 over 16

### Answers

The **rational number** equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct

The number that we have been given is 1.28 bar over 28 that is 28 is repeating.

Now we have to convert it into** simple fraction**.

For we will first denote,

X = 1.28 bar over 28

** Multiplying** both side by 100 as two digits are being repeated we get,

100X = 128.2828…

Now **subtracting **it from X on both side s and putting the value of X we get

100X – X = 128.28… - 1.2828….

99X = 127

X =127/99

X = 1 28/99

Hence the **rational number **equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct

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Justin operates an orange juice stand. Justin started out with 48 oranges. On monday, he used 3/4 of the orange. On Tuesday he used 1/12 as many oranges as Monday. How much more oranges did he sell on Monday compared to Tuesday.

### Answers

**Answer:**

75% of 48 = 36 oranges used on M. 36/12=3, 3 is 1/12 of 36, so he sold 33 more oranges on M then on T when he only sold 3.

someone help pleaseeeee

### Answers

**Answer: I think 1.2 **

**Step-by-step explanation:**

1.35

Carlos is on a hike. He starts at 21 meters above sea level. He

stops at 6 meters below sea level. What is the difference in

elevation from when he started the hike to when he stopped?

### Answers

**Answer:**

difference of 27 m

**Step-by-step explanation:**

starts at 21m and ends at -6m

21+x=-6

(rearrange so the X is by itself)

21+6=x x=27

the perimeters of two squares are in the ratio 2 : 7. What is the ratio of the area of the smaller square to the area of the larger square

### Answers

The **ratio** of the area of the smaller **square** to the area of the larger square, that have a **perimeter** ratio of 2:7 is 4:49

What is the ratio of the area given the ratio of the perimeters of the squares?

The ratio of the perimeter of the **squares** = 2 : 7

Required: The ratio of the area of the **smaller** square to the **larger** **square**.

Solution: The perimeter of a square of side *x *is 4•x

The **comparative length** of the **side** of each square are therefore;

**2/4** **and 7/4**

The comparative area are therefore;

(2/4)² and (7/4)²

The **ratio of **the** areas** of the square is therefore;

(2/4)² : (7/4)² = 1/4 : 49/16

Multiplying both sides of the ratio by 16 gives;

16×1/4 : 16×49/16

4:49

The ratio of the area of the smaller square to the area of the larger square is 4 : 49

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At a football game, $3,114 is collected for tickets. General Seating admission tickets are $10 while Reserved Seating tickets cost $18. A total of 245 tickets were sold. How many tickets of each type are sold?

### Answers

**Answer:**

general:162 reserved:834

**Step-by-step explanation:**

Solve by using substitution

Need to know how to understand to work the problem out please so i can help my grandson out i am a grandmother been out of school for so long surely appreciate brantley has helped me out in the past thank you

### Answers

Here are some key points that you can use to **work** a **problem** out.

How to understand a problem?Read and reread the problem to understand what it is about, what is it asking for, and what is the context.**Describe** the problem in your own words.**Visualize **the problem.**Identify goals** to solve the problem.**Identify information** (required, extra, and missing).**Use appropriate resources**, such as math and standard dictionaries, etc. to assist them in the correct math problem comprehension.Recognize if there are any conditions and/or assumptions that need to be applied to the math problem to receive the commonsense results.

Here are some other strategies that you could use to solve math problems. A brief description of each is stated below:

Guess and Check - Guessing the answer to see if the estimate worksOrganized Lists - Data-organizing chart to visually see the math problem's requirements and optionsPatterns - Patterns sometimes observed in a chart or table or sample problemsEliminating Possibilities - using a system of elimination to achieve the correct solution by testing different cases and checking their validity.Logical Reasoning - Using Venn diagrams for showing logic in reasoning to get the correct solutionVisual Aids - Use Picture, table, diagram, etc. for visually displaying the math sample problem at different stages.Using a Formula - Substituting values in formula to find the solutions.Work backwards - beginning with the end of a math problem.

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What is the sum of 3x² - x -2 and x² + 2x - 1?

### Answers

Line the equations up based on their common factor. Keep in mind the X has an understood 1 in front of it if there is no coefficient. So, X = (1)X. Add them up as shown in the picture.

3x^2 + (1)x^2 = 4x^2

-(1)x + 2x = (1)x

-2 + -1 = -3

Then put these in order based on their variable (same order as in the original equations) don’t include the understood one when writing your final equation as some teachers may take off points for it.

Final answer= 4x^2 + x - 3

**Answer:**

**Step-by-step explanation:**

We can combine like terms in order to find this sum: 3x^2 + x^2 +2x -x -2-1= 2x^2 +x -3.

You will get 1 thanks, 5 stars, and 15 points if you answer!

### Answers

**Answer:**

It's C/ Option 3

**Step-by-step explanation:**

trust me

Please help!! State which property of equality justifies the statement:

If 7x=28, then x=4.

### Answers

The **property of equality** justifies the given statement is Transitive property of equality.

Given,

The statement:

If, 7x = 28,

then, x = 4

We have to find the property of equality that justifies this **statement:**

The **transitive property of equality** formula is given as follows:

If y = z and x = y, x must be z. Where items belong to the same category as x, y, and z. For instance, if a line segment's measurement is represented by "x," then its measurement should also be represented by "y" and "z."

The **property of equality** that justifies this statement If, 7x = 28,

then, x = 4 is transitive property of equality.

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what is the value of (x+y)^2 when x=2 and y= -4?

### Answers

**Answer: 20**

**Step-by-step explanation: **

**Everything within the parenthesis gets an exponent of two, so you should have (x^2+y^2).**

**After this, you plug in the 'x' and 'y' given, so the next part should look like (2^2+(-4)^2)**

**After step 2, do 2*2 and -4*-4 (exponents ask you to multiply numbers by a specific amount. In this case, both numbers are multiplied by themselves 2 times).**

**A negative times a negative is a positive, so -4^2 or -4*-4 is 16. 2^2 or 2*2 is simply 4. **

**Add 4 and 16 together to get your final answer of 20. **

**Hope this helps!**

there is a dart that lands uniformly randomly in space on a dartboard. the dartboard is 3 concentric circles with radius 1, 2, and 3

### Answers

There are** 160** possibilities for area codes

We are required to find all the combinations for different area codes

It is given to us that the conditions for the tree digit area code are:

first digit could be any number from **4 through 8**,

the second digit was either** 4 5 6 or 7,** and the third digit could be any number except 2 or 7

Using the conditions above, the digits which can be first digit of code = 4 through 8 =4,5,6,7,8

the digits which can be second digit of code= 4,5,6,7

the digits which can be third digit of code = 0,1,3,4,5,6,8,9

number of possibilities for first digit= 5

number of possibilities for second digit=4

number of possibilities for third digit= 8

Therefore, total number of possibilities of code = number of possibilities of **first **digit x number of possibilities of **second **digit x number of possibilities of **third** digit = 5 x 4 x 8=160

Therefore, there are** 160** possibilities for area codes

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5. the difference between x and 7, divided by 3

### Answers

**Answer:**

x - 7 ÷ 3 or

x - 7

-------- <------ fraction bar/line

3

**Step-by-step explanation:**

If you are trying to write the the difference between x and 7, divided by 3 then the answer is above.

hope this helps :)

Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. how much would 1 quart of ice cream cost? group of answer choices $4.10 $0.68 $0.78 $3.10

### Answers

Cheryl, that paid $37.20 for 12 gallons of ice cream for a school picnic would pay **$0.78 **for **1 quart** of ice cream

To solve this problem, we have to state the **equation **using the information of the problem

Information about the problem:

Payment= $37.20Amount= 12 gallons1 quart cost=?

**Converting **the amount unit from **gallon **to **quart**, we get:

12 gallons * (4 quart / 1 gallon) = 48 quarts

12 gallons are equivalent to 48 quarts

Calculating how much would **cost 1 quart** of ice cream:

1 quart cost = payment / amount(quart)

1 quart cost = $37.20 / 48 quarts

**1 quart cost = $0.78**

What are algebraic operations?

We can say that they are the set of **numbers **and **symbols **that are related by the different **mathematical **operation signs such as addition, subtraction, multiplication, division among others.

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Make c subject of the formula

πc² =A

### Answers

**Answer: **c=[tex]\sqrt{A/\pi}[/tex]

**Step-by-step explanation:**

πc²=A

c²=A/π

c=[tex]\sqrt{A/\pi}[/tex]

i have two 20-sided dice that each have 4 maroon sides, 7 teal sides, 8 cyan sides, and one sparkly side. if i roll both dice, what is the probability they come up the same?

### Answers

The **probability of color coming up the same** for rolling two 20-sided dice is **129/400**.

**Probability** is defined as how likely something is to happen. For a single dice, getting a maroon, teal, and cyan have a probability of 4/20, 7/20, and 8/20, respectively.

Before solving the probability, we must identify whether the events are considered **independent or dependent**. Independent events are when the probability of an event happening does not affect the other's event probability of happening. A dependent event is when the probability of an event happening affects the other event. **The rolling of dice is considered an independent event.**

For events that should **occur together**, the **multiplication rule** is used. To solve for the probability of two sides coming up the same, the formula below is used.

P (A and B) = P (A) * P (B)

P (red and red) = (4/20)*(4/20) = 1/25

P (teal and teal) = (7/20)*(7/20) = 49/400

P (cyan and cyan) = (8/20)*(8/20) = 4/25

Since no specific color was stated in the problem, the **sum of the probability** of each color coming up the same is determined.

P (color come up the same) = P (red and red) + P (teal and teal) + P (cyan and cyan)

P (color come up the same) = 1/25 + 49/400 + 4/25

**P (color come up the same) = 129/400**

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A family is polled to see the mean of the number of hours per day the television set is on. The results, starting with Sunday, are 5, 2, 1, 2, 1, 2, and 6 hours. What is the average number of hours the family had the television set on to the nearest whole number?

### Answers

The **average **number of hours the family had the **television set **on is 3 hours.

What is the average number of hours?

The **average **of a set of numbers is calculated by adding the numbers together and dividing it by the total number. **Average **is also known as mean. **Average **is a measure of central tendency. Other measures of central tendency are mode and median.

**Average **= sum of the numbers / total number

**Average **= (5 + 2 + 1 + 2 + 1 + 2 + 6) / 7 =

19 / 7 = 2.714 hours

To round off a number to the **nearest whole number, **if the tenth digit is equal to 5 or greater than five, add one to the units digit. If this is not the case, the unit digit remain unchanged. In both cases, the tenth digit is replaced with o.

Because the **tenth digit **in 2.714 is greater than 5, the number becomes **3 hours. **

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note: enter your answer and show all the steps that you use to solve this problem in the space provided. write and solve an equation that represents the following situation: 35 people paid a total of $245 for admission to a local soccer game. what is the price of admission?

### Answers

The **price **of each **admission **is 7

What is unitary method?

The **unitary** method is a technique for **solving **a problem by **first **finding the value of a **single** unit, and then **finding** the **necessary** value by multiplying the **single **unit value.

**Given**:

Total amount paid for **admission **= $245

Total number of **people**=35

So,

let the price of **admission **be x

So, 35x= 245

Now **dividing **both side by 35

35x/35=245/35

x= 7

Hence, price of each **admission **is 7.

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k/3+16 algebraic expression

### Answers

**Answer: -48**

**Step-by-step explanation:**

k/3 + 16

find the roots by factoring

which leads to -48

**k/3 + 16**

**To add or subtract expressions**, expand them so their **denominators are the same.** Multiply 16 by 3/3.

**k/3 + 16 × 3/3**

Since **k/3 and 16 × 3/3** have the **same denominator**, we join their **numerators to add them.**

**k + 16 × 3/3**

We perform the multiplications in **k+16×3.**

**k + 48/3**

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Mary typed 546 words in 13 minutes. julie typed 602 words in 14 minutes. who can type more words per minute? how much faster is that person?

### Answers

**Answer:**

Julie, by one word per minute.

**Step-by-step explanation:**

Marie can type 42 words per minute, because 546/13 is 42. Julie can type 43 words per minute, because 602/14 is 43. Therefore, Julia is faster by one words.