Using Simplification , all the equations that are equivalent to (6x+2)/3 = 2 - (3x+14) are (6x+2)/3 = -3x - 12 and 6x + 2 = -9x - 36 , the correct option is (a) and (d) .
In the question ,
it is given that
the equation is (6x+2)/3 = 2 - (3x+14)
solving the brackets on the right side of the equation ,
(6x+2)/3 = 2 - 3x - 14
(6x+2)/3 = -3x - 12 ....option(a)
On Cross Multiplying , we get
6x + 2 = 3(-3x - 12)
6x + 2 = -9x - 36 ....option(d)
Therefore , all the equations that are equivalent to (6x+2)/3 = 2 - (3x+14) are (6x+2)/3 = -3x - 12 and 6x + 2 = -9x - 36 .
The given question is incomplete , the complete question is
Using Simplification , Select all equations that are equivalent to
(6x+2)/3 = 2 - (3x+14)
(a) (6x+2)/3 = -3x-12
(b) (6x+2) = 2 - (3x+14)
(c) 2x + 2/3 = 2 - (3x+14)
(d) 6x+2 = -9x-36
Learn more about Equations here
https://brainly.com/question/28735218
#SPJ1
Here is a parallelogram.
Work out the value of x.
x cm
Area = 12 cm²
2.5 cm
The value of x for the given parallelogram is 4.8 cm.
According to the question,
We have the following information:
We have a parallelogram with base x cm, height 2.5 cm and area 12 square centimeters.
(More to know: in a parallelogram, the opposite sides are equal and parallel to each other. Opposite angles of parallelogram are equal and the sum of consecutive angles is 180°.)
We know that the following formula is used to find the area of the parallelogram:
Area of parallelogram = Base*height
x*2.5 = 12
x = 12/2.5
x = 4.8 cm
Hence, the value of x is 4.8 cm.
To know more about parallelogram here
https://brainly.com/question/14091538
#SPJ1
30 POINTS IF ANYONE GETS THIS RIGHT AND BRAINLSIT.
1st image
angle 5 is 31 degrees alternate interior angles
2nd image
angle8=angle9, alternate interior angles
Select all correct answers. which values are part of the solution set based on the result of the inequality? -4x + 24 < -2x + 2 9.5 -10 11.5 15 10 -3
11.5 and 15 are the values that are part of the solution set of the inequality.
Inequality is defined as relationship between non-equal numbers or expressions. The solution of an inequality is the set of values that satisfies the given inequality.
To determine the solution set of the given inequality, isolate the variable to one side and simplify.
-4x + 24 < -2x + 2
-4x + 2x < -24 + 2
-2x < -22
22 < 2x
11 < x
Hence, the solution set of the given inequality is the set of numbers greater than 11. Among the given choices, 11.5 and 15 are both greater than 11.
Learn more about inequality here: https://brainly.com/question/13912022
#SPJ4
Juan always saves 30% of all his earnings. Last month he saved $141. How much did he earn last month?
Answer:
$470
Step-by-step explanation:
%30 of 470 = $141
Answer: $470
I hope it help
The points K, L, M and N all lie on the same line segment, in that order, such that the ratio of KL:LM:MNKL:LM:MN is equal to 2:3:1.2:3:1. If KN=54,KN=54, find MN.MN.
The length of the line segment MN given that the ratio of KL:LM:MN = 2:3:1 is; 9
How to carry out partitioning of line segment?
We are told that the points K, L, M and N all lie on the same line segment.
Since the points lie on the same line segment, then it means that they are collinear points.
We are told that the ratio of the segments, KL:LM:MN = 2:3:1.
This means that we can find the length of MN since we are also given the total length of the whole segment, KN = 54.
Length of MN = (Individual ratio of MN ÷ the total ratio value of the 3 given segments) × length of the whole segment
Individual ratio of MN = 1
Total ratio value of the 3 given segments = 2 + 3 + 1 = 6
Length of whole segment, KN = 54
Length of MN = (1/6) * 54
Length of MN = 9
Read more about Partitioning Line Segments at; https://brainly.com/question/17374569
#SPJ1
The sum of the two numbers is -34 and their difference is 5. Find the numbers.
Answer:
y = -19.5, x = -14.5
Step-by-step explanation:
We can form equations from this statement:
x + y = -34
x - y = 5
If we rearrange the second equation, we get:
x - y = 5
x = 5 + y
Then, we substitute this value into the other equation to get the answer.
x + y = -34
5 + y + y = -34
Then solve:
2y + 5 = -34
2y = -39
so, y = -19.5
now we can find x with y:
-19.5 + x = -34
-34 + 19.5 = x
x = - 14.5
Jane paints a 2 1/3 wall with 2/3 can of paint joe paints 3 1/4 walls with 3/4 can of paint who paints a wall at a faster rate
Answer:
Jane paints faster if I may be correct
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The quadratic function has only maximum value :
[tex]F(x)_{min}[/tex] = 30
x = 3
There is no minimum value of the quadratic function.
Given,
In the question:
The quadratic function is given as:
F(x) = [tex]-3x^2+18x +3[/tex]
Determine whether the following quadratic function has a maximum or a minimum value. Then find the maximum and minimum value of the function.
Now, According to the question:
The quadratic function is given as:
F(x) = [tex]-3x^2+18x +3[/tex]
Take out the leading coefficient
F(x) = -3[tex](x^2-6x)+3[/tex]
Complete the square:
F(x) = [tex]-3(x^2+(2(-3))x + (-3)^2)+(3-(-3)^2))[/tex]
Express the function in vertex form
F(x) = [tex]-3(x-3)^2+30[/tex]
To find the maximum value
[tex]F(x)_{min}[/tex] = 30
x = 3
For Minimum value:
F(x) = [tex]-3x^2 +18x +3[/tex]
Rewrite the function by completing the square
F(x) = [tex]-3(x-3)^2+30[/tex]
The graphs always open downwards
So, There is no minimum value of the quadratic function.
Learn more about Maximum and Minimum value at:
https://brainly.com/question/13581879
#SPJ1
Maria's rectangular rug is twice as long as it is wide. The are of the rug is 76.88 square feet.
What is the perimeter of the rug?
The perimeter of the rug is 37.2
The first line says that the rug is twice as long as its width. If the width is taken as w and length is taken as l, we get an equation l= 2w. Since it is a rectangle, the area of the rectangle will be (length*width) which is equal to l*w.
Since l=2w, area = 2w*w = 2w^2. This is given equally to 76.88.
2w^2 = 76.88
w^2 = 38.44
w = 6.2
l = 2w = 2*6.2 = 12.4
Now, perimeter of rectangle is 2w+2l = 2*6.2 + 2*12.4 = 37.2
Hence the perimeter of the rug is 37.2
To find out more about rectangular problems refer to this:
brainly.com/question/28497588
Which is equivalent to 3√8x?
It is equivalent to 8^x/3
What is equivalent equations?OBJECTIVES FOR EQUALITY EQUATIONSAfter finishing this section, you need to be able to:Sort an equation into a conditional or an identity category.Mentally solve simple equations.Check to see if some equations are equal.A mathematical equation is a statement that two numerical expressions are equal.Equations go into one of two categories.acc to our question-
to write a square root into fraction. To do that, you just have to apply the formula :
x^power/root
Then, here it gives . 8^x/3
learn more about equivalent equations click here:
https://brainly.com/question/2972832
#SPJ13
¿Cuál será el monto que se pagará por un préstamo de $200,000 a una tasa de interés del 36% si se negocia pagarlo en 2 años? C = $200,00
El interés junto con el préstamo de $ 200,000 tiene un monto de $ 8,080.
¿Cuánto debe pagar el usuario por un préstamo tras un plazo de dos años?En este problema tenemos el caso de una persona que pide prestado $ 200,000 a una tasa de interés anual de 36 %, cuyo pago se realiza tras un plazo de dos años de realizarse el préstamo. Asumimos, que la deuda se genera por interés compuesto, esto es, un interés acumulativo. El interés compuesto es descrito mediante la siguiente fórmula:
I = C' · [(1 + r / 100)ⁿ - 1]
Donde:
C' - Dinero prestado, en unidad monetaria.I - Intereses a pagar, en unidad monetaria.r - Tasa de interés, en porcentaje.n - Número de plazos, en años.Si sabemos que C' = 200,000, r = 36 y n = 2, entonces el interés a pagar al final del plazo es:
I = 200,000 · [(1 + 2 / 100)² - 1]
I = 8080
El interés a pagar es $ 8080, además del préstamo de $ 200,000.
Para aprender más sobre el interés compuesto: https://brainly.com/question/23137156
#SPJ1
A study of interior designers' opinions with respect to the most desirable primary color for executive offices showed that: What is the probability that a designer does not prefer red? 1.00 0.77 0.73 0.23
The probability that a designer does not prefer red is 0.77.
Define the meaning of the term probability?Probability is synonymous with possibility. It is a mathematical branch that deals with both the occurrence of something like a random event. The value varies from 0 to one. Probability has just been introduced in mathematics to predict the likelihood of occurrences occurring.Probability (event) = favorable outcome / total outcome
Total primary color designers = 400.
The number of opinions for red = 92
The probability for designer prefer red = 92 /100
The probability for designer prefer red = 0.23
Then, the probability that a designer does not prefer red = 1 - 0.23
The probability that a designer does not prefer red = 0.77
Thus, the probability that a designer does not prefer red color = 0.77.
To know more about the probability, here
https://brainly.com/question/13604758
#SPJ4
The correct question along with table is attached-
Which statement is an example of deductive reasoning?
Responses
Quadrilaterals DEFG and JKLM have four congruent sides and no right angles. Therefore, any quadrilateral with four congruent sides has no right angles.
Quadrilaterals cap d cap e cap f cap g and cap j cap k cap l cap m have four congruent sides and no right angles. Therefore, any quadrilateral with four congruent sides has no right angles.
Triangle XYZ is an isosceles right triangle. Triangle CDE is an isosceles right triangle. Therefore, all right triangles are isosceles right triangles.
Triangle cap x cap y cap z is an isosceles right triangle. Triangle cap c cap d cap e is an isosceles right triangle. Therefore, all right triangles are isosceles right triangles.
All rulers in geometry class are 12 inches long. The biology class also uses rulers. Therefore, the rulers in biology class are 12 inches long.
All rulers in geometry class are 12 inches long. The biology class also uses rulers. Therefore, the rulers in biology class are 12 inches long.
All squares are parallelograms. Quadrilateral ABCD is a square. Therefore, quadrilateral ABCD is a parallelogram.
Answer:
Step-by-step explanation:
Help Im begging Brainliest Help!!!!!!
A 3−4−5 right triangle is the base of a prism that is 10 inches tall. How many cubic inches of sand could fill the solid?
Answer:
60 [tex]in^{2}[/tex]
Step-by-step explanation:
Volume = the area of the base times the height.
Base:
[tex]\frac{lengthxwidth}{2}[/tex]
[tex]\frac{3x4}{2}[/tex]
6 multiply this by the height of 10
Volume = 60 [tex]in^{3}[/tex]
Answer:
60 cubic inches of sand-------------------------------
The volume of the prismV = Bh, B- area of base, h- heightArea of baseB = 1/2×3×4 = 6 in²Find the volumeV = 6×10 = 60 in³If y=8 when x=4, write the direct variation equation and find y when x=5
HELPP
asking help for a friend again
To find the parallel line of y =3z+6 passing through the slope intercept points (-2,5).
For a line to be parallel to another line, by definition it must have the same slope.
Because the equation is in the slope-intercept form we can use the slope of the line.
The slope- intercept form of a linear equation is :
y=mx+b
Where m is the slope and b is the y− intercept value.
Therefore, for the given equation, the slope is 3.
Now we can use the point slope formula to determine the equation for the parallel line.
The point - slope formula states: (y−y1)=m(x−x1)
Where m is the slope and (x1,y1) is a point the line passes through.
Substituting the slope from the given line and the given point gives:
y−5=3(x+2)
Transforming this to the slope-intercept form by solving for y gives:
y−5=3x+6
y−5+5=3x+6+5
y=3x+11
To learn more about parallel lines, click here https://brainly.com/question/16742265
#SPJ1
help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
125=16t², t²=125/16=√7.8125=2.7951 ,hence t=3secounds
Can someone pls give me the answer to this???
Answer:
By comparing both the figures there is a difference of 6
[tex]x + 1 = 24 - 6 \\ x = 24 - 6 - 1 \\ x = 17[/tex]
A biker travels down the street at 15 m/s. It
takes 60 seconds to travel to the end of the
street. How long was the street?
The street was 900m long when the speed is 15m/s and, the time is 60 seconds.
What is meant by distance, speed, and time?To calculate speed, divide the distance traveled by the time it took to complete the voyage, so speed = distance divided by time. To determine the distance, multiply the speed by the passage of time. These equations can be reduced as s=d/t, where s represents speed, d represents distance, and t represents time.
Distance divided by time equals speed. Distance = time * speed
To solve for speed or rate, utilize the speed formula, s = d/t, which implies speed equals distance divided by time. To solve for time, utilize the time formula, t = d/s, which implies time equals distance divided by speed.
Given,
Speed of the biker who travels down the street=15m/s
Time taken=60seconds
Distance=?
We know that,
Distance=Speed× Time
Distance=15×60
Distance=900m
Therefore, the street was 900m long
To know more about distance, speed, and time, visit:
https://brainly.com/question/21901071
#SPJ1
What is the sum of the zeros of the function y = x² - 9x-10?
Answer: 9
Step-by-step explanation:
Finding the zeros is the same as solving. Then, we will add the two solutions together.
Given:
y = x² - 9x - 10
Solving by Quadradic Formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\displaystyle x=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(-10)} }{2(1)}[/tex]
[tex]\displaystyle x=\frac{9\pm\sqrt{81+40} }{2}[/tex]
[tex]\displaystyle x=\frac{9\pm\sqrt{121} }{2}[/tex]
[tex]\displaystyle x=\frac{9+11}{2},\;\;x=\frac{9-11}{2}[/tex]
x = 10, -1
Adding them together:
10 + -1 = 9
please help needed very soon thanks
Answer:
2 3/5
Step-by-step explanation:
First, change all terms to improper fraction
We have;
13/2÷5/2
13/2 ×2/5
13/5
Change to mixed fraction, we have;
2 3/5
Hope it helps.. Please mark brainliest
The simplest simplified form of the given expression is 3 9/10.
First, let us understand the mixed number;
A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the appropriate fraction that results in the mixed number.
Change all the given terms to improper fractions, we will get;
6 1/2 = (6 * 2 + 1) / 2 = 13 / 2
1 2/3 = (1 * 3 + 2) / 3 = 5 / 3
We are given;
13/2 ÷ 5/3
= 13/2 × 3/5
= 39/10
Change to mixed fraction, we will get;
39/10 = 3 9/10
Thus, the simplest simplified form of the given expression is 3 9/10.
To learn more about the mixed number visit:
https://brainly.com/question/24137171
#SPJ1
(x² + 8x + 1) ÷ (x −4)
Answer: x=4
Step-by-step explanation: simplify expression and divide polynomials
Question
A botanist created a linear model to predict plant height from soil acidity (pH level) for a certain type of plant. The slope of the model was 2.5 centimeters per pH level, the standard deviation of the sample of plant heights was 4 centimeters, and the standard deviation of the soil acidities was 1 pH level. What is the value of the correlation coefficient?
The value of the correlation coefficient is 0.625.
What is a correlation coefficient?Correlation coefficients quantify the strength of a relationship between two variables. A correlation coefficient is a number ranging from -1 to 1 that indicates the degree and direction of a relationship between variables. It is a statistical notion that aids in the establishment of a relationship between predicted and actual values collected in a statistical experiment.
In this case, the slope of the model was 2.5 centimeters per pH level, and the standard deviation of the sample of plant heights was 4 centimeters.
The correlation coefficient will be:
= Slope / Standard Deviation
= 2.5 / 4
= 0.625
The coefficient is 0.625.
Learn more about correlation coefficient on:
https://brainly.com/question/15512775
#SPJ1
5/3=?x1/3
help please ASAP
The value of x is 5 for the given equation 5/3 = x/3.
What do we mean by equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.So, the equation is:
5/3 = x/3Now, solve for x as follows:
5/3 = x/33x = 5 × 3 (Cros multiply)3x = 15x = 15/3x = 5Therefore, the value of x is 5 for the given equation 5/3 = x/3.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ13
Correct question:
Solve for x. 5/3= x/3
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
The equation of the line in the slope intercept form is y = (-1/2)x + 60
From the given graph,
Choose two points
(0, 60) and (40, 40)
The slope of the line the change in y coordinates with respect to the change in x coordinate of the function
The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the value in the equation
= [tex]\frac{40-60}{40-0}[/tex]
= -20/40
= -1/2
From the graph we can say that,
y intercept of the line = 60
The slope intercept form is
y = mx + b
where m is the slope of the line
b is the y intercept
y = (-1/2)x + 60
Hence, the equation of the line in the slope intercept form is y = (-1/2)x + 60
Learn more about slope intercept form here
brainly.com/question/9682526
#SPJ1
3b(2x-z^3)=2h-7gx change the subject to x
Answer:
Step-by-step explanation:
3b(2x - z^3) = 2h - 7gx Distribute 3b
6bx - 3bz^3 = 2h - 7gx Add 3bz^3 to both sides
6bx = 3bz^3 + 2h - 7gx Add 7gx to both sides
6bx + 7gx = 3bz^3 + 2h Factor left side, factor out a gcf of x
x(6b + 7g) = 3bz^3 + 2h Divide both sides by (6b + 7g) to isolate x
x = (3bz^3 + 2h)/ (6b + 7g)
What is the equation of the line that passes through the point (-4, 3) and slope of 3/4
The equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.
According to the question,
We have the following information:
We have the point (-4,3) and a slope of 3/4.
We know that the following formula is used to find the equation passing through any point:
(y-y') = m(x-x') where m is the slope and in this case, y' = 3 and x' = -4
y-3 = 3/4{x-(-4)}
y-3 = 3/4 (x+4)
Multiplying 3/4 into the bracket:
y-3 = 3x/4 + 3
Moving -3 from the left hand side to the right hand side:
y = 3x/4+3+3
y = 3x/4+6
Hence, the equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.
To know more about equation of the line here
https://brainly.com/question/21511618
#SPJ1
The art teacher gave each student half of a sheet of paper. Then she asked the students to colored one one fourth of their pieces of papper. what do the number represent? what information was given?
The number 1/8 represent the fraction of full sheet of paper the teacher asked each student to color.
The information given are;
Paper given to each student by the teacherPart the teacher asked each student to colorWhat fraction of paper did the student colored?The information given are
The full sheet of paper = xPaper given to each student by the teacher = 1/2xPart the teacher asked each student to color = one fourth of their pieces of papper= 1/4 of 1/2x
= 1/4 × 1/2x
= 1/8x
So therefore, the student colored 1/8 of the original piece of paper.
Read more on fraction:
https://brainly.com/question/11562149
#SPJ1
Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line x + 2y = 6?
write each choice into the boxes to correctly complete the table. *picture below *
Step-by-step explanation:
in order to be able to decide each case we need the slopes of all involved lines.
and that means we need to bring all of the equating into a "y = ..." form, because then the slope is always the factor of x.
parallel lines have the same slope.
the slopes of perpendicular lines (intercept at a right angle) have the y/x ratio turned upside-down and a flipped sign : -x/y.
"neither" is everything else.
our reference line
x + 2y = 6
2y = -x + 6
y = -1/2 x + 3
so, the reference slope is -1/2.
y = -1/2 x - 5 is parallel (same slope).
-2x + y = -4
y = 2x - 4 perpendicular (2/1 vs. -1/2)
-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 neither
x + 2y = -2 parallel (as the structure except for the constant part is the same as our reference line).
2y = -x - 2
y = -1/2 x - 1
Kelly is trying to decide which plan to use to download songs. She can download 8 songs for $9.60 or 15 songs for $15.00. Which plan offers the lowest cost per song?
Answer:
The second plan ($15.00 for 15 songs) offers the lowest cost per song.
Step-by-step explanation:
The objective is to find the plan that provides the lowest cost per song. "Lowest cost per song" is basically $/song. So let's compare the two plans by calculating the cost per song.
Plan 1: $9.60/(8 songs) = $1.20/song
Plan 2: $15.00/(15 songs) = $1.00/song
The second plan ($15.00 for 15 songs) offers the lowest cost per song.