equati 1. v = 3.1 + 14 y = -1

Equati 1. V = 3.1 + 14 Y = -1

Answers

Answer 1

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 2

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:


Related Questions


There are 151 people in the 6th
grade class. It costs $24 for each
person to go snorkeling. How
much did they pay altogether?

Answers

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

Helppppppp will give brainiest to first right answer

Answers

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.

what is the equivalent expression for:

m - (8 -3m)

Answers

4m-8 that’s your answer

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

Answers

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

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

Answers

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

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

Answers

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

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

Answers

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.

2x – 1 over 5 - 3x +2 over 4

Answers

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

Each relationship below compares the shaded portion the part to the entire figure the whole complete the table 6'60'600'32

Answers

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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cual es la raiz cuadrada de 4096 y 529

Answers

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.

For instance, since 4² = (-4)² = 16, 4 and -4 are the square roots of 16.The square root of x is rational if and only if x is a rational integer that can be expressed as the ratio of two perfect squares. (The square root of 2 for proof that this number is illogical; the quadratic irrational for evidence against all non-square natural numbers.) The square root function changes rational numbers into algebraic numbers, which are a superset of rational numbers.

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

Answers

Answer: 156.86

Step-by-step explanation:

Simplify 3^2 + 3(6 - 2^2) ÷ 6.

Answers

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

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?

Answers

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.

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

Answers

[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]

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

Answers

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​.

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.

Answers

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)

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.

Answers

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

Answers

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]

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

Answers

Answer: 129 inches

Step-by-step explanation:

172 inches x 3/4 original with = 129 inches

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

Answers

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

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

Answers

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]

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?

Answers

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

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

Answers

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:

What are the x intercept of the equation f(x)=3(x-7)(4x+2)

Answers

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

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

Answers

Answer:

what r the 3 following options??

Step-by-step explanation:

the supplement of an angle is 30 degrees more than the measure of the
what is the measure of
the angle?
angle,

Answers

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°

what is probability that it is from the 70s is

Answers

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]

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

Answers

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.

a cylinder shaped popcorn

Answers

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!!!

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

Answers

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

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