y= 3x +14 (a)

y=-4x (b)

Replace the value of y (b) on equation (a), and solve for x

-4x = 3x+14

-4x-3x = 14

-7x = 14

x= 14/-7

**x = -2**

Replace the value of x on any initial equation and solve for y:

y= -4 (-2) = 8

**y=8**

Answer:

1*v=3,0.1+14y=-1 : v=3,y=-0.07857

[1.v=3}

[0.1+14y=-1]

v=3,y=-0.07857

Step-by-step explanation:

a cylinder shaped popcorn

**Answer**

**Option C is correct.**

**Volume = 1,413 in³**

**Explanation**

The volume of a cylinder is given as

**Volume = πr²h**

where

**π = pi = 3.14**

**r = radius of the cylinder = ½ (Diameter) = ½ (10) = 5 inches**

**h = height of the cylinder = 1.5 feet = 1.5 (12 inches) = 18 inches**

The conversion from **feet **to **inches **was done using **1 feet = 12 inches**

So, we can calculate the volume now

**Volume = πr²h**

**Volume = (3.14) × (5²) × (18)**

**Volume = 1,413 in³**

**Hope this Helps!!!**

How do I solve 5/9x+ 6=10?

Due to the inaccuracy of the provided information, we will suppose that the original expression is

[tex]\frac{5x}{9}+6=10[/tex]Solve for x as shown below

[tex]\begin{gathered} \Rightarrow\frac{5x}{9}+6-6=10-6 \\ \Rightarrow\frac{5x}{9}=4 \\ \Rightarrow(9)\frac{5x}{9}=(9)4=36 \\ \Rightarrow5x=36 \\ \Rightarrow(\frac{1}{5})5x=\frac{1}{5}\cdot36 \\ \Rightarrow x=\frac{36}{5} \end{gathered}[/tex]**Therefore, the answer is x=36/5**

b. Triangle DEF with coordinates D(-2, 2), E (1,5), and F (4, -1) is rotated 90° counterclockwise aboutthe origin

[tex]\begin{gathered} D^{}(-2,2) \\ E(1,5) \\ F(4,-1) \\ D´(-2,2) \\ E^{\prime}(-5,1) \\ F(1,4) \\ \text{The new coord}inates\text{ are }D´(-2,2),\text{ }E^{\prime}(-5,1)\text{ and }F(1,4) \end{gathered}[/tex]

Give a parametric representation of the parabola y = (x+7)^2 -5

We have to find the parametric representation of the parabola y = (x+7)² - 5, which is represented in vertex form.

Parametric representations use a third variable on which we define x and y.

We will call this variable t.

We can start with defining t as:

[tex]\begin{gathered} t=x+7 \\ \Rightarrow x(t)=t-7 \end{gathered}[/tex]We then have already x in function of t.

Then, we can use the definition of t to find y(t):

[tex]\begin{gathered} y(t)=(x(t)+7)^2-5 \\ y(t)=(t-7+7)^2-5 \\ y(t)=t^2-5 \end{gathered}[/tex]We then have x and y defined in function of t.

**Answer: we can represent the parabola in a parametric form as **

**x(t) = t-7**

**y(t) = t² - 5**

five friends are going to share 1/2 of a pizza. How much of a whole pizza will each friend eat?which equation can be used to solve the problem above?A.5÷1/2=nB.1\2÷5=nC.n÷5=1/2D.n÷1\2=5

In this case the answer is very simple .

Step 01:

Data

5 friends

1/2 pizza

Step 02:

We must distribute the pizza among 5 friends.

[tex]\frac{\frac{1}{2\text{ }}\text{ pizza}}{5\text{ friends}}\text{ = n}[/tex]**The answer is: **

**Option B. **

**1\2÷5=n**

A board 172 inches wide is cut to three-fourths of its original width

**Answer: 129 inches**

**Step-by-step explanation:**

172 inches x 3/4 original with = 129 inches

What is the diameter of a sphere with a volume of 80487 in^3, to the nearest tenth ofan inch?

EXPLANATION

If the volume of a sphere is 80487 in^3, the diameter would be given by the following relationship:

[tex]\text{Volume}=\frac{4}{3}\cdot\pi\cdot r^3[/tex]Replacing terms:

[tex]80487=\frac{4}{3}\cdot\pi\cdot r^3[/tex]Isolating r^3:

[tex]\frac{80487}{\pi}\cdot\frac{3}{4}=r^3[/tex]Applying the cubic root to both sides:

[tex]\sqrt[]{\frac{80487}{\pi}\cdot\frac{3}{4}}=r[/tex]Switching sides:

[tex]r=\sqrt[]{\frac{80487}{\pi}\cdot\frac{3}{4}}[/tex]Multiplying numbers:

[tex]undefined[/tex]The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?

**Answer: 156.86**

**Step-by-step explanation:**

the numberof blocks has 9 in the ones places.The number in the hundreds place is one more than the number in the tens place. Those two numbers equal 11. How many blocks are there?

Based on the given information, we can express the following

[tex]\begin{gathered} h=1+t \\ h+t=11 \end{gathered}[/tex]Because the digit of hundreds is 1 more the tens, and they sum 11. Let's combine the function to find t

[tex]\begin{gathered} h+t=11 \\ 1+t+t=11 \\ 2t=11-1 \\ t=\frac{10}{2}=5 \end{gathered}[/tex]So, the digit of tens is 5.

Let's find the hundreds.

[tex]h=1+t=1+5=6[/tex]The number of hundreds is 6.

Hence, the number of blocks is 659.Each relationship below compares the shaded portion the part to the entire figure the whole complete the table 6'60'600'32

A figure or **ratio **that may be stated as a fraction of 100 is a **percentage.** If we need to calculate a portion of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Percent refers to one hundred percent.

A** decimal **is a number divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of full and partially whole quantities.

An element of a whole is a **fraction. **The number is represented mathematically as a **quotient,** where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

A **ratio** displays the multiplicity of two numbers. A ratio can have any number of** quantities**, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.

**Percentage Decimal Fraction Ratio**

6% 0.06 6 / 100 6:100

60% 0.6 60 / 100 60:100

600% 6 600 / 100 = 6 / 1 6:1

32% 0.32 32 / 100 32:100

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Given the following: P(A)=0.28, P(B)=0.64, P(B|A)= 0.37, calculate P(A and B)

By definition of conditional probability you know that

[tex]P(B|A)=\frac{P(A\cap B)}{P(A)}[/tex]Now, replace the values that you have and solve for P(A and B)

[tex]\begin{gathered} P(B|A)=\frac{P(A\cap B)}{P(A)} \\ 0.37=\frac{P(A\cap B)}{0.28} \\ \text{ Multiply by 0.28 on both sides of the equation} \\ 0.37\cdot0.28=\frac{P(A\cap B)}{0.28}\cdot0.28 \\ \text{ Therefore,} \\ 0.1036=P(A\cap B) \end{gathered}[/tex]the supplement of an angle is 30 degrees more than the measure of the

what is the measure of

the angle?

angle,

**Answer:**

x = 75°

**Step-by-step explanation:**

supplementary angles sum to 180°

let x be the angle then x + 30 is the supplementary angle , so

x + x + 30 = 180

2x + 30 = 180 ( subtract 30 from both sides )

2x = 150 ( divide both sides by 2 )

x = 75

x + 30 = 75 + 30 = 105

the angle is 75° and the supplementary angle is 105°

Complete the point slope equation of the line through -2,6 and 1,1

**Answer:**

3y = -5x + 8

**Step-by-step explanation:**

Point Slope Equation Of A Straight Line:

y - y1 = m(x - x1)

where m = slope of the line and (x1, y1) is any point on the line

Slope is given by rise/run

For any two point (x1, y1) and (x2, y2) on the line

rise = y2 - y1

and

run = x2 - x1

Given points (-2, 6) and (1, 1)

rise = 1 - 6 = -5

run = 1 - (-2) = 1 + 2 = 3

rise/run = m = -5/3

Equation using the point (1, 1) is

y - 1 = -5/3(x - 1)

y - 1 = -5/3x + 5/3

Multiply both sides by 3 to get

3(y - 1) = 3 x (-5/3)x + 3(5/3)

3y - 3 = -5x + 5

3y = -5x + 8

A university claims its recent graduates earn an average annual salary of

$45,000. You draw a random sample of 40 recent graduates and find that their

average salary is $46,000, and calculate the standard error of the sample mean

as 436.81. What is the t ratio for this result?

**Answer:**

t-ratio = 0.362

**Step-by-step explanation:**

In hypothesis testing,

The t-ratio is given by the formula:

[tex]\dfrac{X-\mu}{s}[/tex]

where μ is the hypothesized mean, X the sample mean and s the sample standard deviation

The Standard Error of the Mean SEM = [tex]\large \text{{$\dfrac{s}{\sqrt{n}}$}}[/tex] where n is the sample size.

We We are given:

X = 46,000

μ= 45,000

SEM = 436.81

n = 40

We can find the sample standard deviation

s = SEM x √n

s = 436.81 x √ 40

s = 2762.3

Therefore

t-ratio = (46000 - 45000)/2762.3 = **0.362**

A family has 6 children. Assume that each child is as likely to be a boy as it is to be a girl. Find the probability that the family has 6 girls if it is known the family has at least one girl.

The **probability** that the family has 6 girls if it is known the family has at least one girl is; 3.125%

What is the Probability?

We are told that each child has the same chance of being a boy or a girl and as such we can say that **probability **is 1 in 2, or 0.50 or 50%.

Since the family must have at least one girl, if we assume that the first child is a girl, the the probability of the second child being a girl is 50%.

The** probability **of the other 5 children all being girls is:

(1/2) * (1/2) * (1/2) *(1/2) * (1/2) = 1/32.

This **Probability **expressed as a decimal or percentage represents a probability that we have as; 1/32 = 0.03125 = 3.125%.

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what is the equivalent expression for:

m - (8 -3m)

4m-8 that’s your answer

Hey there Ms or Mr could you please help me out with this problem? Just a heads up, this is my assignment not a quiz. My assignment is about distance and midpoint formula.

EXPLANATION

Let's see the facts:

Midpoint = (-2,5)

A=(4,7)

Let the point of B as B=(x,y)

Then,

[tex]\frac{x+4}{2}=-2,\frac{y+7}{2}=5[/tex]Multiplying the frist equation by 2:

[tex]x+4=-2\cdot2[/tex]Subtracting -4 to both sides:

[tex]x=-4-4[/tex]Simplifying:

[tex]x=-8[/tex]Multiplying the second equation by 2:

[tex]y+7=2\cdot5[/tex]Subtracting -7 to both sides:

[tex]y=10-7=\text{ 3}[/tex]The coordinates of the point B are:

**B=(-8,3)**

Helppppppp will give brainiest to first right answer

**Answer:**

1 degrees F

**Step-by-step explanation:**

-3+12-6=3

3/3 = 1

1 degrees F

:]

C) 1 degree F

You would do -3+12-6 ( which is 3) and divide that by 3 (the number of numbers) to get the average (1). Now you know that 1 degree is your answer.

You would do -3+12-6 ( which is 3) and divide that by 3 (the number of numbers) to get the average (1). Now you know that 1 degree is your answer.

what is probability that it is from the 70s is

Given :

the total number of collections = 60 vinyl

There are six from the 70s

So, the probability that is from 70s is :

[tex]\frac{6}{60}=\frac{1}{10}[/tex]What are the x intercept of the equation f(x)=3(x-7)(4x+2)

The x-intercepts are

x = 7

and

x = -1/2

SOLUTION:

we need to find the value of x where y or f(x) is 0

the expression x-7 will be zero if x=7

the expression 4x+2 will be zero if x = -1/2

if a varies equal directly with b, and a=8 when b=20 what is the value of a when b= 14.5

[tex]\frac{8}{a}=\frac{20}{14.5}[/tex][tex]20a=8\cdot14.5[/tex][tex]a=\frac{116}{20}=5.8[/tex]

Which are the better statistics to use to compare the team scores

**Step 1**

We are given two team scores

Required; Which are the better statistics to use to compare the team scores

**Step 2**

The box plot displays the 5 number summary

-Minimum data value

-Maximum data value

-Median

-First Quartile, and

Third Quartile

The Interquartile Range (IQR) of the data can also be calculated by finding the difference between the First Quartile, and the third Quartile.

The Interquartile Range (IQR) helps us to determine the variability of the data set. The IQR is often seen as a better measure of spread than the range as it is not affected by outliers.

The median that is gotten from the box pot measures the center tendency of the data. The median is the most informative measure of central tendency for skewed distributions or distributions with outliers.

**Therefore, the better statistics to use for comparing the scores of the teams are;**

**Median and IQR.**

Given P250/75R18 tires, what would be the Circumference in inches of the tire?

Given data:

The given radius of the tire is r=18 in.

Th expression for the circumference is,

C=2πr

Substitute the given values in the above expression.

C=2(3.14)(18)

=113.04 in

Thus, the circumference of the tire is 113.04 inn.

cual es la raiz cuadrada de 4096 y 529

The **square root** of 4096 is 64 and the** square root** of 529 is 23.

The **square root **of a number x in mathematics is a number y whose square (the outcome of multiplying the number by itself, or y·y), is equal to x.

The given numbers are 4096 and 529.

Let us find the **factors **of 4096:

4096 = 2¹²

Therefore the **square root **of 4096 = √4096 = √(2¹²) = 2⁶ = 64 .

Let us find the **factors **of 529:

4096 = 23 × 23

Therefore the **square root **of 529 = √529 = √(23²) = 23 .

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Disclaimer : The question in English is :

What is the square root of 4096 and 529.?

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ryan is buying pencil boxes. he wnats to buy the box that will fit the most markers. he can choose between the following 3 options

**Answer:**

what r the 3 following options??

**Step-by-step explanation:**

2x – 1 over 5 - 3x +2 over 4

we have

(2x-1)/5-(3x+2)/4

{4(2x-1)-5(3x+2)}/20

{8x-4-15x-10}/20

{-7x-14}

5-(3x+2)/4

4(2x-1

Simplify 3^2 + 3(6 - 2^2) ÷ 6.

Fractions simplification

Apply PEMDAS method. Eliminate parenthesis first.

Then (3^2 + 3•6 - 3•2^2 )/ 6 = (3^2 + 3•6 - 3•2^2 )/ 6

now eliminate exponents

= [3• 3 + 3•6 + 3•4] / 6

= 3•5/6 now multiplicate

3•5= 15

Then

= 15/6 = 2 + 3/6 = 2 + 1/2 = 2.5

Select the table that represents a linear function. (Graph them if necessary.)

OA. x 0 1 2 3

y 2 3 6 11

OB. x 0 1 2 3

y 1 3 9 27

OC. x 0123

y 0149

OD. x 012

3

y 39 15 21

**Answer:**

The last table represents a linear function.

As x increases by 1 unit, y increases by a constant of 6 units

The equation of the function is

y = 6x + 3

**Step-by-step explanation:**

How would you find the area of each of your rooms without furniture?

Given that you have a room that has dimensions *l* and *w *wherein *l* is the length of the room while *w* is the width of the room (shown in a diagram below).

the area of the room can be computed using the equation

[tex]A_{room}=l\times w[/tex]**Basically, we just multiply the length and the width of the room.**

There are 151 people in the 6th

grade class. It costs $24 for each

person to go snorkeling. How

much did they pay altogether?

3624 is the correct answer because if you times 151 by 24 you will get 3624

**Answer:**

**Step-by-step explanation:**

it cost $3,624

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