The **location** of **point** P such that the **ratio** AP / PB = 2 / 3 is (1, - 2).

What are the coordinates of a point that partition a line segment?

In this question we have the location of two **endpoints** of a **line segment**, **point** A (3, 0) and **point** B (- 2, - 5). About the line segment, we are asked to find the **coordinates** of a point P such that the following **ratio** is met:

AP / PB = 2 / 3

3 · AP = 2 · PB

3 · [P(x, y) - A(x, y)] = 2 · [B(x, y) - P(x, y)]

3 · P(x, y) - 3 · A(x, y) = 2 · B(x, y) - 2 · P(x, y)

5 · P(x, y) = 3 · A(x, y) + 2 · B(x, y)

P(x, y) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)

P(x, y) = (3 / 5) · (3, 0) + (2 / 5) · (- 2, - 5)

P(x, y) = (9 / 5, 0) + (- 4 / 5, - 10 / 5)

P(x, y) = (9 / 5, 0) + (- 4 / 5, - 2)

P(x, y) = (1, - 2)

The **location** of **point** P is (1, - 2).

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Please answer quick i really need help

**Answer:**

( - 36, 24 )

**Step-by-step explanation:**

(- 9, 6)

( - 9×4, 6×4)

( - 36, 24 )

Please help or answer questions 2, 3, and 4. You may answer question 1 if you’d like but I do not need it. I have already done question 2 but confirming my answers would be nice. I will give out brainliest.

The **ratios** that can be used to **compare** the soda and **punch** recipes are as follows;

1. Emily:

**Mason's** **recipe** for **soda** is *y *= (1/2)•x

Tyler's recipe; y = (3/5)•x

Julio's

Mason's recipe; y = (1/3)•x

Tyler's recipe; y = (3/8)•x

2. Please see the **completed values** in the **table** in the elucidation that follows

3. The **equivalent ratio** relationship in each graph is given by the **constant** ratio of each coordinate pair.

4. The recipe that has the strongest lemon lime taste is given by the graph that has the steepest slope

What is the slope of a graph?The slope of a graph is given by the **ratio** of the **rise** to the **run** of a graph

1. The unit rate for Mason's recipe is (1/2) cup of **lemon–lime** per cup of club

While the unit rate for Tyler's recipe for club soda is (3/5) cup of lemon and lime per cup of club

Mathematically, we have

Emily;

Mason's recipe; y = (1/2)•x

Tyler's recipe; y = (3/5)•x

Julio;

Mason's recipe; y = (1/3)•x

Tyler's recipe; y = (3/8)•x

Carlos's recipe; y = (2/5)•x

Zeb's recipe; y = (1/5)•x

2. The values in the table becomes;

MasonLemon–lime; 1/3, 2/3, 1, 4/3, 5/3, 6/3

Total punch; 1, 2, 3, 4, 5, 6

Tyler'sLemon–lime; 3/8, 3/4, 9/8, 3/2, 15/8, 9/4

Total punch; 1, 2, 3, 4, 5, 6

Carlos'sLemon–lime; 2/5, 4/5, 6/5, 8/5, 2, 12/5

Total punch; 1, 2, 3, 4, 5, 6

Zeb'sLemon–lime; 1/5, 2/5, 3/5, 4/5, 1, 6/5

Total punch; 1, 2, 3, 4, 5, 6

3. Each graph represents equivalent ratios given that the value of the ratio of data point is a constant, that is, we have;

For Mason, 1:(1/3) = 2:(2/3) = 3:1...

For Tyler, 1:(3/8) = 2:(3/4) = 3:(9/8)...

For Carlos, 1:(2/5), 2:(4/5), 3:(6/5)...

For Zeb, 1:(1/5), 2:(2/5), 3:(3/5)...

4. The slope of each graph is given by the **number of** **cups** of lemon–lime per one cup of total punch,

The recipe that has the strongest lemon–lime taste is given by the recipe that has the most lemon–lime per each cup of total punch

Which gives;

The recipe that has the strongest lemon–lime can be found from the graph that has the largest slope, which is given by Carlos's recipe.

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In one year, a school uses 12,370 pieces of white paper, 5,670 fewer pieces of blue paper than white paper, and 3,500 fewer pieces of yellow paper than blue paper. How many pieces of paper does the school use in all?

**Answer:**

22270 pieces of paper

**Step-by-step explanation:**

White: 12370 [12,370 pieces of white paper]

Blue: 6700 (12370-5670). [5,670 fewer pieces of blue paper than white paper]

Yellow: 3200 (6700-3200). [3,500 fewer pieces of yellow paper than blue paper]

The sum is 22270 pieces of paper.

one customer has two chances to receive a prize. if the customer keeps the higher of the two prizes awarded, what is the probability the customer will receive at least $100?

If the customer keeps the higher of the **two **prizes awarded, the probability the customer will receive **at least** $100 is 0.10

The probability that the **customer** will receive at least $100, P(X>100) is obtained below:

The probability that the customer will receive at least $100 is obtained by adding the corresponding probabilities of X=100 and, X=1000

Given from the table of probabilities, P(X=100)=0.08, and P(X=1,000)

P[X>100]=P(X=100)+P(X=1,000)

=0.08+0.02

=0.10

The question is incomplete, the complete question is given below:

A real estate developer is awarding one of four prizes to customers who view new properties. The prizes are awarded randomly through drawings. Prize values and their associated probabilities follow:

PRIZE VALUE PROBABLITY

$10 0.80

$20 0.10

$100 0.08

$1000 0.02

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Two parallel lines are cut by a transversal as shown belc

Suppose m 8 =107 Find m2 1and m2 3

1

2

4

3

5

6

8

7

The values of the angles m∠1 and m∠3 is equal to 73°.

A **transversa**l may be defined as a line which cuts a pair of parallel lines and forms several angles. When transversal cuts **parallel lines** the **alternate interior** angles are equal as well as the corresponding angles are equal. Also, the pair of **vertically opposite** angles are equal. From the figure attached. ∠4 = ∠8 as they are **corresponding** **angles**. So, m∠8 = m∠4 = 107°. Now, we know that ∠1 and ∠4 formed a pair of **linear angles** and the **sum** of the measures of the linear angles is 180°. So,

m∠1 + m∠4 = 180°

We know, m∠4 = 107°

m∠1 = 180° - 107°

m∠1 = 73°

Now, ∠1 and ∠3 are **vertically opposite** angles, so they are equal as the parallel lines are cut by transversal. Therefore, m∠1 = m∠3

=> m∠1 = 73°

=> m∠3 = 73°

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use the aleks calculator to find 46% of 20 do not round

The **value **of the **part **of 20 that is 46% is 9.2.

**Percentage **is simply a number or **ratio **expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given the data in the question;

Percentage = 46%Whole = 20Part = ?Plug the given values into the above **formula **and solve for the part.

Percentage = ( Part / Whole ) × 100%

46% = ( Part / 20) × 100%

46/100 = ( Part / 20 ) × 100/100

46/100 = ( Part / 20 ) × 1

46/100 = Part / 20

Cross multiply

46 × 20 = Part × 100

920 = Part × 100

Part = 920/100

Part = 9.2

Therefore, 9.2 is 46 **percent **of 20.

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3x = 0Graph the line by plotting any two ordered pairs with integer value coordinates that satisfy the equation

we have the equation

3x=0

is the same that

x=0

This is a vertical line (is the equation of the y-axis)

two ordered pairs that lies in this line are

(0,4) and (0,10)

graph the line

plot the points and join them

see the attached figure

12/1-(2x+3)

How to simplify this fraction

**Step-by-step explanation:**

so, it is

12 / (1 - (2x + 3))

yes, that is

12 / (1 - 2x - 3) = 12 /(-2x -2) | divide both sides by -2

-6/(x + 1)

Ahmed has five more CDs than one-half the number of CDs Julia has. In this situation, what does One-half c+ 5 represent?

the number of CDs Ahmed has

the number of CDs Julia has

the number of CDs Ahmed has more than Julia

the number of CDs Ahmed and Julia have altogether

**Answer: A) the number of CDs Ahmed has.**

**Step-by-step explanation:**

a license plate consists of 3 letters followed by 4 digits. how many license plates are possible if the first digit cannot be 0, and letters and digits may repeat?

There are 158,184,000 **possible license plates** consisting of 3 letters followed by 4 digits.

Based on the given information, since the letters and digits may be repeated, there are:

26 ways to fill in the first letter

26 ways to fill in the second letter

26 ways to fill in the third letter

9 ways to fill in the first digit *(first digit cannot be 0)

10 ways to fill in the second digit

10 ways to fill in the third digit and

10 ways to fill in the first digit

Thus, by **Fundamental Principle of Counting**, there are 158,184,000 possible license plates.

26 x 26 x 26 x 9 x 10 x 10 x 10 = 158,184,000

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Solve 3x > 174, and use the interactive number line tool to graph the solution. What is true about the graph? Check all that apply.

There is an open circle at 58.

There is a closed circle at 58.

There is an open circle at 174.

There is a closed circle at 174.

The arrow points right.

The arrow points left.

**Answer:**

there is an open circle at 58

the arrow points right

**Step-by-step explanation:**

3x>174/:3

x>58 we have a strict x more than 58 that's why it's an open circle and right because x is more, but not less

Using the SSS congruence is criterion what additional information is needed to show that triangle RST is congruent to triangle UTS?

The additional information you will need to show that **triangles** RST and UTS are congruent by **SSS congruence **is: c. RT ≅ US.

To prove that two **triangles** are congruent to each other using the **SSS congruence** as a criteria, we need to know or be able to show that the three sides of one **triangle** are congruent to the corresponding 3 sides of the other **triangle**.

If this criterion is met, then we have enough information needed to show the two instruments are congruent by the **SSS congruence**.

RS ≅ UT as marked in the diagram shown. Also, by the reflexive property, we ST ≅ TS.

We already know two pairs of sides are congruent to each other in both **triangles**.

In other to prove the **triangles** are congruent by **SSS congruence**, the additional information needed is: c. RT ≅ US.

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**Answer:**

**Step-by-step explanation:The additional information you will need to show that triangles RST and UTS are congruent by SSS congruence is: c. RT ≅ US.**

**How to Prove Two Triangles are Congruent by SSS Congruence Postulate?**

**To prove that two triangles are congruent to each other using the SSS congruence as a criteria, we need to know or be able to show that the three sides of one triangle are congruent to the corresponding 3 sides of the other triangle.**

**If this criterion is met, then we have enough information needed to show the two instruments are congruent by the SSS congruence.**

**RS ≅ UT as marked in the diagram shown. Also, by the reflexive property, we ST ≅ TS.**

**We already know two pairs of sides are congruent to each other in both triangles.**

**In other to prove the triangles are congruent by SSS congruence, the additional information needed is: c. RT ≅ US.**

Friday

Use the equation to fill in the table.

y = 2x -7

**Answer:**

x=7

**Step-by-step explanation:**

7=2x-7

-2x-7-7

-2x=-14

x=-14÷2

x=-7

MEAN The mean A of two numbers, x and y, is given by A =*+. Solve for y.

The **mean** can be **written **as **mean **A= x+ y/2

A **data **se**t**'s mean (average) is calculated by **summing** all of the numbers in the set, then **dividing **by the **total** **number **of values in the set.

Only numerical variables—regardless of whether they are **discrete **or **continuous**—can be used to **determine **the **mean**. Simply dividing the total number of values in a data set by the sum of all of the values yields it.

The **mean **formula is

= {**Sum **of Observation} ÷ {**Total** **numbers **of Observations}

Given:

mean A of **two** **numbers**, x and y

So, the **mean **can be written as

mean A= x+ y/2

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Basic Geomtry Help, Easy

**Answer:**

A

**Step-by-step explanation:**

Because it's has no straight to it

x represents a positive interger

X < 7

How should I solve this? It would help with a step by step guide

If x represents a **positive integer** and x<7, then the values of x = {1,2,3,4,5,6}

The x represents a positive integers

Positive integers are the integers greater than 0. In number line the positive number will be at the right side of the 0. **The negative integers **are the integers less than 0. In number line the negative number will be at the left side of the 0.

The given inequality is

x<7

**The inequality **is the mathematical expression represents the relation between the two values that is not equal

Here x is **less than **7 and a positive integer

Therefore,

x = {1, 2, 3, 4, 5, 6}

Hence, if x represents a positive integer and x<7, then the values of x = {1,2,3,4,5,6}

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11) Translate the following phrases into algebraic expressions

a. The difference of a number k and four

b. Eight less than a number x

e. The sum of six and a number d

d. The product of a number and five

e The quotient of eight and a number

f. The product of two and a number increased by seven

g. Half of a number decreased by twelve

A number, a variable, or a mix of numbers, variables, and operation symbols make up an **expression**. The **translation **is as follows:

a) 4 - k

b) 8 - x

c) 6 + d

d) x + 5

e) 8 / x

f) 2 + x = 8

g) 1/2n-12

What is meant by algebraic expressions?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. **Two expressions** joined by an equal sign form an equation.

**Arithmetic operations **like subtraction, addition, division, multiplication, and **exponentiation **are used to combine variables and integers to produce any **algebraic expression**. A variable, a number, or a variable and number with an exponent as a **product **can all be used as the phrase.

The **translation **is as follows:

a) 4 - k

b) 8 - x

c) 6 + d

d) x + 5

e) 8 / x

f) 2 + x = 8

g) 1/2n-12

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The water level will be 10 feet or lower by tomorrow.

The **inequality** written for the given **statement** is x≤10. Therefore, option A is the correct answer.

The given statement is "The water level will be 10 feet or lower by tomorrow."

What is a inequality?Mathematical **expressions** with **inequalities** are those in which the two sides are **not equal.** Contrary to equations, we compare two values in inequality. **Less than** (or less than or equal to), **greater than** (or greater than or equal to), or not equal to signs are used in place of the equal sign.

The **inequality** for the given statement is x≤10

The **inequality** written for the given **statement** is x≤10. Therefore, option A is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Choose the inequality that represents the statement.

The water level will be 10 feet or lower by tomorrow.

A. x≤10

B. x<10

C. x>10

D. x=10

The blueprint for the moreno’s living room has a scale of 2 inches= 5 feet. The family wants to use a scale of 1 inch= 3 feet. What is the width of the living room on the new blueprint

The **width** of the **living room** on the new blueprint is 15 feet.

Based on the information, the scale of the original **blueprint** will be:

= 2 in / 5 ft

The **width** of the original **blueprint** is 6 inches, the actual width of the living room will be:

2/5 = 6/x

where x = **width** of living room

Cross multiply

x = 5 × 6 / 2

x = 15 feet.

The **width** is 15 feet.

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Find the length of side x in simplest radical form with a rational denominator. I will give brainliest please help asap

**Answer:**

[tex]x=\frac{\sqrt{2}}{2}[/tex]

**Step-by-step explanation:**

x^2+x^2=1

x^2=1/2

x=1/sqrt2

x=sqrt2/2

:]

Determine which statement completes each open sentence:

32+8+1

15 (1+2)

4²

4.2

3(x - 4 + x)

when x = 4

111

3(x-4 + x)

when x = 2

32-1

15 +1 +2

3x4+x

3x4+x

1. is equal to

2. is NOT equal to

The **statement **which completes each of the open sentences are given below:

32 ÷ 8 + 1 is not equal to 3² - 1

15 ÷ ( 1 + 2) is not equal to 15 ÷ 1 +2

4² is not equal to 4 . 2

3 ( x - 4 + x) is not equal to 3x - 4 + x when x = 4

3 ( x - 4 + x) is not equal to 3x - 4 + x when x = 2

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Fill in the table using this function rule.

y=4x-3

the value of y for x values(-2,0,2,4) are {11, 3, -5, -13}

**What is a linear equation?**

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a** straight line.**

If in the linear equation, one variable is present, then the equation is known as the linear equation in one **variable**.

You want the value of y for various values of x, given that y = -4x +3.

**Function **evaluating

Put the value of x where x is in the **function **rule and do the **arithmetic**.

y = -4x +3

for x = -2

y = (-4)(-2) +3 = 8 +3 = 11

for x = 0

y = (-4)(0) +3 = 0 +3 = 3

for x = 2

y = (-4)(2) +3 = -8 +3 = -5

for x = 4

y = (-4)(4) +3 = -16 +3 = -13

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equivalent to 6+12x?

**Answer:**

**Step-by-step explanation:**

6 + 12x

6 ( 1 + 2x )

Marybeth rides her skateboard 5 miles in 30 minutes. If she maintains this rate, how far will she ride her skateboard in 4 hours?

40 miles per hour since 5 miles per 30 minutes times 2 is 10 miles per hour. Then you would multiply 10 mph by 4 = 40 mph

82.8 cm measured to the nearest tenth of a cm.

80 cm

Explanation: 80 cm

Explanation: 80 cm

peruvian cafe bought ad time on radio station wkoi. during the first four weeks, 4,000 different people heard the spot six times, while 2,000 heard it only three times during the same period. what is the average frequency?

The **average frequency** of people hearing the spot on the radio station is equal to **5**.

Average frequency can be defined as the average number of times an individual is exposed to an Advertising schedule.

Average frequency can be calculated by using the formula;

average frequency = total / n

As 4000 people heard the spot 6 times and 2000 people heard it three times; therefore

n = 4000 + 2000 = 6000

total = number × frequency = (6 × 4000) + (3 × 2000) = 24000 + 6000 = 30,000

Substituting these values in the equation;

average frequency = 30,000 / 6000

average frequency = 5

Hence the average frequency of people hearing the **spot **on the** radio station** wkoi is calculated to be 5.

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By looking at the equation of the least-squares regression line, you can see that the correlation between height and arm span is.

**Step-by-step explanation:**

**If the data shows a leaner relationship between two variables, the line that best fits this linear relationship is known as a least-squares regression line, which minimizes the vertical distance from the data points to the regression line.**

In triangle ABC, ACB = 67°, AB= 6.9 cm and

BC = 5.7 cm.

a Calculate angle BÂC.

b Hence find the area of AABC.

Please answer all questions to 3 correct sig figs.

**Answer:**

In triangle ABC, ACB = 67°, AB= 6.9 cm and BC = 5.7 cm.

**Step-by-step explanation:**

4) The ratio of the side length of a square to the square perimeter is always 1 to 4. Peter

drew a square with a perimeter of 28 inches.

What is the side length of the square Peter drew

The side length of a **square **is 7 inches drawn by the **Peter**.

According to the question, the ratio of a square's side length to its **perimeter** is always one to four.

According to the story, **Peter **drew a square with such a perimeter of 28 inches.

Divide 28 inches by 4 to get the side length of a** square** Peter drew.

= 28/4

= 7 inches

As a result, the** side length **of a square is 7 inches.

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What calculation will give us the estimated volume of the Great Pyramid of Giza in cubic meters?

The option that would give the estimated **volume **of the **Pyramid of Giza **is = [tex]\frac{53,000 . 150 }{3}[/tex]

A** pyramid **is a 3-dimensional shape that is made up of a polygonal base and 4 triangular faces. The 4 triangular faces are joined at a vertex. Types of **pyramids **include a square pyramid, rectangle pyramid, triangle pyramid.

The **volume **of a** pyramid** is the amount of space that is a three-dimensional shape.

**Volume of a pyramid** = 1/3 x (base area x height)

1/3 x (53,000. 150)

= [tex]\frac{53,000 . 150 }{3}[/tex]

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When using a counterexample to prove a conditional statement false, which must be true about the counterexample?There must be infinite counterexamples.The counterexample must satisfy the hypothesis of the conditional statement.There must be at least one example under which the conditional statement is true.The counterexample must satisfy the conclusion of the conditional statement.
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