Explain how you would create opposite terms for the x-variable in this system.
3x – 6y = –8
-1x+4y=6
Answers
Answer:
Your answer would be, You can use the Elimination Method, by Multiplying, One or Both Equations by a Constant.
Solve System of Linear Equation:
3x - 6y = -8, -1/4x + 4y = 6 ====> y = 32 /21; x = 8 / 21
Steps:
[ 3x - 6y = -8, -1 / 4x + 4y = 6 ]
Isolate x for 3x - 6y = -8: x = -8 + 6y / 3
3x - 6y = -8
Add 6y both sides:
3x - 6y + 6y = -8 + 6y
Simplify:
3x = - 8 + 6y
Divide Both sides by 3:
3x / x = -8 / 3 + 6y / 3
Simplify:
x = -8 + 6y / 3
Substitute:
x = -8 + 6y / 3
[ 1 / 4 * -8 + 6y / 3 + 4y = 6 ]
Isolate:
-1 / 4 -8 + 6y / 3 + 4y = 6
y = 32 / 21
For x = -8 + 6y / 3
Substitute:
y = 32 / 21
x = -8 + 6 / 3 * 32 / 21
-8 + 6 / 3 * 32 / 21
x = 8 / 21
The Solution to the Systems of Equations are: y = 32 / 21; x = 8 / 21
Hope that helps!!! : )
Step-by-step explanation:
Related Questions
The class is filling boxes that each hold 10 pieces of candy. Maria filled
6
4
5
boxes, Lucas filled
5
1
2
boxes, and Mateo filled
3
7
10
boxes. If they combine their candy and completely fill each box, how many full boxes will there be?
Answers
Answer:
16 boxes
Step-by-step explanation:
6 4/5+ 5 1/2+ 3 7/10
make all fractions with common denominators
6 8/10 + 5 5/10 + 3 7/10
combine like terms
6+5+3= 14
8+5+7 = 20/10 = 2
14+2 = 16
Answer:
550 pieces of candy (total), 150 pieces of candy for Maria, 200 pieces of candy for Lucas, 200 pieces of candy for Mateo.
Step-by-step explanation:
Maria filled
6 + 4 + 5 = 15 boxes of candy.
Lucas filled
3 + 7 + 10 = 20 boxes of candy.
Mateo filled
3 + 7 + 10 = 20 boxes of candy.
x = 10 pieces of candy.
15x = 150 pieces of candy (Maria).
20x = 200 pieces of candy (Lucas).
20x = 200 pieces of candy (Mateo).
150 + 200 + 200 = 550 pieces of candy in total.
PLs HElp duw in a few secs 50 points!!!!
Answers
Answer:
[tex]f(t)=5 \cdot 3^t[/tex]
The following statements are true:
t = independent variablef(t) = dependent variableWhen f(5) = 1215, the "5" represents "5 years" and the 1215 represents 1215000 which is "1.215 million cars sold"Help me pleasee!!!!!
Answers
Answer:
option C is the correct answer
evaluate 36 / x + 9 when x equals 3
Answers
Answer:
3.Step-by-step explanation:
Given equation:
36 ÷ x + 9Given variables:
x = 3.Solve:
36 ÷ x + 9= 36 ÷ 3 + 9= 36 ÷ 12= 3.Multiply all terms by x and cancel:
36+9x=3x
9x+36=3x
(Simplify both sides of the equation)
9x+36−3x = 3x−3x
(Subtract 3x from both sides)
6x+36 = 0
6x+36−36 = 0−36
(Subtract 36 from both sides)
6x = −36
6x/6 = −36/6
(Divide both sides by 6)
x = −6
Check answers. (Plug them in to make sure they work.)
x = −6
(Works in original equation)
Answer: x = −6
Which data set could be represented by the box plot shown below?
A horizontal boxplot is plotted along a horizontal axis marked from 20 to 36, in increments of 1. A left whisker extends from 24 to 27. The box extends from 27 to 33 and is divided into 2 parts by a vertical line segment at 31. The right whisker extends from 33 to 34. All values estimated.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
242424, 272727, 292929, 303030, 303030, 313131, 323232, 343434, 343434
(Choice B)
B
242424, 252525, 292929, 303030, 303030, 313131, 343434, 343434, 343434
(Choice C)
C
242424, 252525, 292929, 313131, 313131, 313131, 323232, 343434, 353535
(Choice D)
D
242424, 252525, 292929, 303030, 313131, 313131, 323232, 343434, 3434
Answers
B)1,3,6,8,10,12,13,13,16,18,19
John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
points :)
Answers
Answer:
His error was that he used the wrong transformations. The transformations should have been 4 left and 7 down. Instead, John used the transformations of 4 right and 7 up. I hope this helps!
Step-by-step explanation:
Jack is a renting a boat to go fishing with his friends. One rental company charges a fee of $20 plus $13.50 an hour. A second rental company charges a fee of $6 plus $17 an hour.
a. Let x represent the number of hours the boat is rented and y represent the total cost of the rental. Write a system of equations to represent the problem situation.
b. Determine when the first rental company will be a better deal for Jack than the second rental company.
Answers
Answer:
The first rental deal will be better after 4 hours
(SHOW UR WORK) What is the result of 90.425 subtracted from 48.4?
20 points
Answers
Answer:
-42.025 hope this helps
Step-by-step explanation:
Part F
Find the circumference of the wheel using the formula you found in part E.
--
Activity
A vintage wheel needs to be banded with an iron strip. If the wheel’s radius is 11 inches, how long must the iron strip be to go all the way around the wheel? Complete the steps below to answer the question.
Answers
Answer:
Step-by-step explanation:
first lets find the circumference of the wheel:
[tex]C=\pi *d[/tex]
we have to find the diameter out of the radius:
[tex]d=r*2[/tex]
because the radius is half of the diameter, intrhis case i have to findf the diameter so i do multiply it with 2:
[tex]r=11\\d=??\\d=11*2\\d=22[/tex]
we found the diameter now we are going to find the circumference :
[tex]C=\pi *d\\C=\ 3.14*22\\C= 69.08[/tex]
Another way (easier)to find the circumference is:
[tex]C=2\pi *r\\C=2(3.14)*11\\C=69.08[/tex]
At the end it will hav ethe same answer.
Answer:
69.08 inches
Step-by-step explanation:
substitute the values of r (11 inches) and pi (3.14) in the formula c = 2πr to find c:
c = 2 × 3.14 × 11 inches
c = 69.08 inches.
the circumference of the wheel is about 69.08 inches.
What is 2/5 over 3/7?
I need answer pls
Answers
Answer:
14/15
Step-by-step explanation:
2/5 /3/7 so you do 2/5 *7/3 = 14/15
whoever answers correctly = brainliest
Answers
Answer:
fx
Step-by-step explanation:
HELPPPPPPPPPPPPP ME!!!
Answers
Answer:
180 squred feet
Step-by-step explanation:
We simply multiply all three different areas of surfaces by two
help ill give brainlest pls
Answers
Answer:
B and C
Step-by-step explanation:
This is because while C is smaller, it has the same angles as B.
Directions: Match the slope and y-intercept values to the correct boxes below.
PLEASE HELP!!!!!!
Answers
Answer:
slope is -3
y-intercept is 3
Step-by-step explanation:
Answer:
y-intercept: 3
Slope: -3
Step-by-step explanation:
y-intercept
To find the y-intercept, see what point on the y-axis (vertical bold line on the graph) the line passes through.
Slope
To find slope, find 2 points (from left to right) on the line and and put the height difference over the width difference in a fraction (simplify if possible). At points (0,3) and (1,0) there is a height drop of 3 (so -3) and a width of 1 and [tex]\frac{-3}{1}[/tex] gives you a slope of -3.
3. What CAN you do when serving the volleyball?
a. Stand on or over the service line.
b. Hit the ball out of bounds.
c. Have a teammate help the ball over the net on the serve.
d. Hit the net and the ball goes over to the other side.
Answers
Answer:
D because none of the others work. you have to stand behind the service line. you can't hit the ball out of bounds. a teammate can't touch it.
Please help and hurry!
Answers
Work:
-10x-(-4y) will equal -10x+4y the minus minus will cancel out
Please like and brainiest
-10x-(-4y)
step-by-step explanation:
-10x-(-4y) = -10x+4y
-(-4y) = positive 4y
24x - 17 x ≥ 13x +15
Pls solve and add the equation if you can thank you :)
Answers
Given :-
[tex]24x - 17 x ≥ 13x +15[/tex]
Solving it,
[tex](24 - 17)x \geqslant 13x + 15[/tex]
[tex] = > 7x \geqslant 13x + 15[/tex]
[tex] = > 7x - 13x \geqslant 15[/tex]
[tex] = > (7 - 13) x \geqslant 15[/tex]
[tex] = > - 6x \geqslant 15[/tex]
[tex] = > x \leqslant - \frac{15}{6}[/tex]
By reducing to lowest terms, we get,
[tex]x \leqslant - \frac{5}{2}[/tex]
So, Value of x is [tex] - \frac{5}{2}[/tex]
24x + -17x = 13x + -15
Combine like terms: 24x + -17x = 7x
7x = 13x + -15
Reorder the terms:
7x = -15 + 13x
Solving
7x = -15 + 13x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13x' to each side of the equation.
7x + -13x = -15 + 13x + -13x
Combine like terms: 7x + -13x = -6x
-6x = -15 + 13x + -13x
Combine like terms: 13x + -13x = 0
-6x = -15 + 0
-6x = -15
Divide each side by '-6'.
x = 2.5
Simplifying
x = 2.5
help pls. 20 pts
Match each rational number with a point on the number line.
(Be sure to use the numbers 1 through 4 to indicate which rational number goes in each answer box)
Answers
Answer:
The correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Step-by-step explanation:
Consider the provided number line.
From the number line we can observed that:
1) A, B, C and D lies between -1 and 0.
2) Point A and B lies between -1 and -0.5
3) Point C and D lies between -0.5 and 0
Therefore, the value of A and B must have a negative value lying between -1 and -0.5
Also, the value of C and D must have a negative value lying between -0.5 and 0.
Now consider the provided options.
Option A) A=-5/16,B=-9/16,C=-0.7,D=-0.4
This is Incorrect representation because the value of C and D should lying between -0.5 and 0.
Option B) A=-0.4,B=-0.7,C=-5/16,D=9/16
This is Incorrect representation because the value of A and B should lying between -1 and -0.5.
Option C) A=9/16,B=-5/16,C=-0.4,D=-0.7
This is Incorrect representation because the value of C and D should lying between -0.5 and 0.
Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Here the value of A and B lying between -1 and -0.5 also the value of C and D lying between -0.5 and 0.
Also they are in ascending order from -1 to 0.
Hence, the correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Step-by-step explanation:
What did the independence movements of Vietnam and Algeria have in common?
a
They were both American colonies.
b
They were both British colonies.
c
They were both French colonies.
d
They were both Japanese colonies.
Answers
Answer:
Its probably D.
Step-by-step explanation:
vietnam is a Japanese Colony and thats all i know
(i hope this helps)
Matthew made a scale model of the solar system for a science project. He created the planet Mercury with a diameter of 6 inches. According to the scale, what is the actual diameter of Mercury? *
Answers
Answer:
3000
Step-by-step explanation:
I'm learning this right now too!
500×6in=3000
CAN SOMEONE HELP ME HERE PLEASE I ONLY HAVE THESE LEFT AND IM CONFUSED
Answers
Answer: B pickup truck a to b is 200 in 10secs c to d is 300 in 10secs you drive 40 miles in 20 min then you stop to get gas for 10 min then drive 40 miles back for 20 min.
Step-by-step explanation: cocomelan
7b - 15 = 5b - 3
5c + 16.5 = 13.5 + 10c
20 + 3y = 10 - 2y
17 + 4h + 2 = 1 - 5h
Answers
1. 7b-15=5b-3
move 5b and 15
7b - 5b = -3 + 15
2b=12
b=6
2. 5c + 16.5 = 13.5 + 10c
5c=3
c=3/5
3. 20 + 3y = 10 - 2y
-5y=10
y=-2
4. 17 + 4h + 2 = 1 - 5h
19 + 4h = 1 - 5h
-9h=18
h=-2
2. c=3/5
3. y=-2
4.h=2
Determine the area and outer perimeter of the L O V E
Answers
Answer:
L is 75, O is 114, V is 76, E is 90
Step-by-step explanation:
I did it with Multiplication from the widths, and lengths
Ben and Arnoldo are sharing snacks. They have peanut treats and coconut treats. Ben ate 2 of the peanut treats and 4 of the coconut treats for a total of 160 calories. Arnoldo ate 3 of the peanut treats and 2 of the coconut treats for a total of 140 calories. They wrote the system below to represent the number of calories there are in the two types of treats.
2 x + 4 y = 160. 3 x + 2 y = 140.
They found the solution to be (30, 25). How many calories are in each treat?
Answers
Answer:
It means there are 30 calories in peanut treat and 25 calories in coconut treat.
Step-by-step explanation:
There are 30 calories in peanut treat and 25 calories in coconut treat.
Given: Ben ate 2 of the peanut treats and 4 of the coconut treats for a total of 160 calories.
The equation corresponding to the above statement is
Also, Arnoldo ate 3 of the peanut treats and 2 of the coconut treats for a total of 140 calories.
The equation corresponding to the above statement is
i.e. x represents the number of calories in one peanut treat and y represents the number of calories in one coconut treat.
Also, the solution of system of linear equations is in the form of (x,y).
The given solution : (30,25)
It means there are 30 calories in peanut treat and 25 calories in coconut treat.
Which set of steps can be used to evaluate the expression shown? (1 point)
the expression with the fractions seven eighths times three fifths
Group of answer choices
A. the equation with the fractions seven eighths times three fifths is equal to seven times five over eight times three is equal to the fraction thirty five twenty fourths
B. the equation with the fractions seven eighths times three fifths is equal to seven plus three over eight times five is equal to the fraction ten fortieths
C. the equation with the fractions seven eighths times three fifths is equal to seven plus three over eight plus five is equal to the fraction ten thirteenths
D. the equation with the fractions seven eighths times three fifths is equal to seven times three over eight times five is equal to the fraction twenty one fortieths
Answers
Answer: D
Step-by-step explanation:
[tex]7/8 x 3/5=\\\frac{7}{8} x \frac{3}{5} \\7x3=21\\8x5=40\\\frac{21}{40} \\[/tex]
2) Thomas wants to find the difference
1/2 (6x - 2) - (2x + 1)
He does the following:
1/2 (6x - 2) - (2x + 1)
3x - 1 - x + 1/2 =
3x + x - 1 + 1/2 =
4x - 1/2
Is this correct? If not, show the correct procedure and explain where Thomas made his mistake.
Answers
Answer:
Thomas is not correct, x-2 is the correct answer
Step-by-step explanation:
Thomas made his mistake by multiplying the 1/2 by both (6x-2) and -(2x+1). Thomas should have multiplied the 1/2 by just the (6x-2).
Correct procedure:
1/2 (6x-2)-(2x+1)
(3x-1)-(2x+1)
3x-1-2x-1
x-2
How can this model be used to verify the Pythagorean Theorem?
PLEASE HELP!!!!!!!!
A - Show that perimeters are the same.
B - Show that 16+9=25.
C - Show that 3+4=5.
D - Take the square root of 16.
Answers
Step-by-step explanation:
i think the answer is D but as i said . the base of so many right triangles sides are 3 ,4,5 so if you divide the biggest of them by 5 and divide the medium one by 4 and divide lowest one by 3 you should see a same number i think . but here you cant see
What is 8.5% tax on $40 purchase
Answers
Answer:
$43.40
Step-by-step explanation:
43.40
Miles owes one of his friends $8. If he borrows $15 from his parents, which of the following expressions could be used to find how much money he owes?
Answers
When you see a power raised to another power you should keep the base and multiply the exponents.
True or false
Answers
Answer:
True hope it helps