Answers
Answer:
Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:
[tex]a = b \to a + c = b + c[/tex], [tex]\forall\,a,b, c\,\in \,\mathbb{R}[/tex]
Step-by-step explanation:
Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:
[tex]a = b \to a + c = b + c[/tex], [tex]\forall\,a,b, c\,\in \,\mathbb{R}[/tex]
1) [tex](7\cdot x - 3) + 3 = (2\cdot x + 7) + 3[/tex] Associative property/Compatibility with addition
2) [tex]7\cdot x + [3 + (-3)] = 2\cdot x + (7 + 3)[/tex] Associative and commutative properties/Definition of subtraction
3) [tex]7\cdot x + 0 = 2\cdot x + 10[/tex] Existence of the additive inverse/Definition of addition
4) [tex]7\cdot x = 2\cdot x + 10[/tex] Modulative property/Result
Related Questions
Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If the disc is equally likely to land anywhere on the board, what is the probability that she will succeed? Explain
Answers
Answer:
Her probability of success is 1/2
Step-by-step explanation:
Firstly, we have to calculate the area of the entire board
That would be the rectangle of the measure 50 cm by 40 cm
We have the area as the product of this two
That would be 50 * 40 = 2,000 cm^2
Now, the value calculated is the area of the entire possible landing area
Secondly, we need to get the area that counts as a success
that would be the area of the triangle that has a base of 50 cm and a height of 40 cm
The area of this is the product of the two divided by 2
we have this as ;
50 * 40 * 1/2 = 1,000 cm^2
So, her probability of success is simply the area of the triangle divided by the area of the rectangle
= 1000/2000 = 1/2
I ordered some books online for myself and friends. Each book costs \$ 13$13 and the store charges a flat rate for shipping of \$ 20$20. Write an expression for the cost of buying nn books.
Answers
Answer: 13n + 20
Step-by-step explanation:
The cost of each book is $13. That means that if you end up buying "n" books, cost would be:
= Cost of each book * number of books
= 13 * n
= 13n
You would also get charged a flat rate for shipping of $20 which would be added to the above cost to bring a total of:
= 13n + 20
A computer randomly selects a number from the given set. {2, 4, 6, 9, 16, 44, 51, 60, 78} What is the probability that a number less than 10 is selected? Enter your answer as a fraction, in simplest form, in the box. P(< 10) = Question 3 options: 59 49 29 89
Answers
Answer:
4/9
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Probability the number is less than 10 = total numbers less than 10 / sum of numbers
4/9
This is so hard help
Answers
Answer:
42
Step-by-step explanation:
Answer:
Ik it
Step-by-step explanation:
Arjun earned $36 515 in 2019.
This was an increase of 9% on his earnings in 2018.
Work out his earnings in 2018.
Answers
Answer:
33500
Step-by-step explanation:
Let x= his wage in 2018
we know that
1.09*x= 36515
Solve for x (by dividing both sides by 1.09)
get 33500
60% of 30 can someone help
Answers
the answer to ur question is 18
If Frances can paint 15 of a wall in 20 minutes, how long will it take her to paint a room with 4 walls
Answers
Answer:
400 minutes
Step-by-step explanation:
20 *5 = 100
she needs 100 minutes to paint 1 wall
so for 4
100*4 =400 minutes
In a board game, students draw a number do not replace it, and then draw a second number. Determine the probability of each event occurring. Drawing an odd number then drawing a 6? dependent events. PLEASE HELP ME
Answers
The figure depicting the board game is attached below.
Answer:
Step-by-step explanation:
Kindly note that selections done without replacement.
Count of numbers on the board game = 8
Count of odd numbers = (1, 9, 1) = 3
Count of digit 6 = 3
Probability = required outcome / Total possible outcomes
P(picking an odd number) = 3 / 8
Without replacement
Numbers left on board game = 8 - 1 = 7
P(picking a 6) = 3 / 7
Hence,
P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56
Evaluate cos 17x/6
ill give brainlist
Answers
The value of cos(17π/6) = cos(5π/6) = -√3/2.
Hence, cos(17π/6) evaluates to -√3/2.
To evaluate cos(17π/6), we can use the unit circle and the properties of cosine.
First, let's determine the reference angle.
The reference angle is the acute angle formed between the terminal side of the given angle and the x-axis.
The angle 17π/6 is greater than 2π, which means it completes more than one full revolution around the unit circle.
To find the reference angle, we can subtract 2π (or 12π/6) from 17π/6:
17π/6 - 12π/6 = 5π/6
Now, we can evaluate the cosine of the reference angle (5π/6).
In the unit circle, the reference angle 5π/6 corresponds to the point (cos(5π/6), sin(5π/6)).
The cosine value is represented by the x-coordinate of this point.
For the reference angle 5π/6, the x-coordinate is -√3/2.
Therefore, cos(17π/6) = cos(5π/6) = -√3/2.
Hence, cos(17π/6) evaluates to -√3/2.
For similar question on trigonometric functions.
https://brainly.com/question/6904750
#SPJ11
Question: How do you evaluate
cos
(17π/6)
For the function g(x) = -4x + 6, what input value results in an output value of 6?
х
-6
-2
0
2
4
6
у
30
22
14
6
-2
-10
-18
A-18
B -6
C 0
D 30
Answers
Answer:
C. 0
I don't where all the values of x and y must be kept but ignoring those the ans is 0
There are 10 ice cream sandwiches, 5 drumsticks, and 6 vanilla ice cream cups in the freezer. You randomly select one and give it to your sister, then randomly select one for yourself. What is the probability of NOT selecting a drumstick and a vanilla ice cream cup? *
Answers
Answer:
The probability of not selecting a drumstick and a vanilla ice cream cup is 92.86%.
Step-by-step explanation:
Since there are 10 ice cream sandwiches, 5 drumsticks, and 6 vanilla ice cream cups in the freezer, and I randomly select one and give it to my sister, and then randomly select one for me, to determine what is the probability of not Selecting a drumstick and a vanilla ice cream cup, the following calculation should be performed:
5/21 x 6/20 = X
0.2380 x 0.3 = X
0.0714 = X
1- 0.0714 = X
0.9286 = X
0.9286 x 100 = 92.86
Therefore, the probability of not selecting a drumstick and a vanilla ice cream cup is 92.86%.
2. 5x + 7x + 3x = 60
What’s the value of x?
Answers
Answer:
Step-by-step explanation:
Simplifying
7x = -3x + -60
Reorder the terms:
7x = -60 + -3x
Solving
7x = -60 + -3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
7x + 3x = -60 + -3x + 3x
Combine like terms: 7x + 3x = 10x
10x = -60 + -3x + 3x
Combine like terms: -3x + 3x = 0
10x = -60 + 0
10x = -60
Divide each side by '10'.
x = -6
Simplifying
x = -6
Answer:
4
Step-by-step explanation:
5 times 4 (20) + 7 times 4 (28) + 3 times 4 (12) = 60
Why would the polynomial, "[tex]x^2+5x-24[/tex]" factor out to (x-3)(x+8)?
Answers
Step-by-step explanation:
5x can also be written as " -3x + 8x " so:
[tex]x^2+5x-24 = x^2-3x+8x-24[/tex]
Using the distributive property:
[tex]x(x-3)+8(x-3)[/tex]
Then again, using the distributive property (but in reverse):
[tex](x-3)(x+8)[/tex]
The two numbers that the middle term should be split into in order to factor can be found by listing out pairs of factors for the product of the last term and the coefficient of the first term, and using the two factors whose sum is the middle term.
For eg (because that was a bit text heavy):
The product of the last term and the first coefficient (1 * (-24)) is -24
the factors of -24 include (and their sum)
-1, 24 (23)
1, -24 (-23)
-2, 12 (10)
2, -12 (-10)
-3, 8 (5)
3, -8 (-5)
-4, 6 (2)
4, -6 (-2)
The middle coefficient is 5 and the sum of the factors -3 and 8 are 5, so split 5x into -3x + 8x to be able to factor how I showed before.
Shane is standing near a cell tower. The angle of elevation from him to the top of the tower is 73°. Cara is standing 10 feet behind Shane (further away from the cell tower). From her, the angle of elevation to the top of the tower is 65°. What is the height of the tower, rounded to the nearest tenth of a foot?
A.9.1 ft
B. 59.0 ft
C. 62.3 ft
D.65.7 ft
Answers
Answer:
Either c or d
Step-by-step explanation:
need help with this asap
Answers
Answer: the first one is exponential and the second one is function
If the following data were transformed, and points with the coordinates
(x, log())) were plotted, what points would be plotted? Round log() to three
decimal places.
х
у
4.
81
5 243
6 729
O A. (81, 1.908), (243, 2.386), (729, 2.863)
O B. (4,1.908), (5,2.386)(6,2.863)
O c. (1.908, 4), (2.386,5), (2.863, 6)
O D. (1.908, 81), (2.386, 243), (2.863, 729)
Answers
Answer: B
Step-by-step explanation:
At a school, 1 out of every 3 girls who tried out for basketball made the
team. Which ratio represents the number of girls who made the team to
the number of girls who did not make the team?
Answers
Answer:
1:2
Step-by-step explanation:
because only one gets into the team
and the remaining two don't make the team
what is x? 60 or 100
Answers
Lucy Lou went shopping a Hollister with her friends. Together they spent a mean price of $40 on 8
sweaters. The first 7 sweaters cost $50, $55, $30, $35, $39, $40 and $42. How much, in dollars,
does the 8th sweater cost?
1
3
+
х
+
ON
4
6
<
V
7
8
9
dio
용
0
orodan 85 03
Answers
Answer:
$29
Step-by-step explanation:
Together they spent a mean price of $40 on 8 sweaters. The first 7 sweaters cost $50, $55, $30, $35, $39, $40 and $42. How much, in dollars, does the 8th sweater cost?
If the mean price is $40, 8 x 40 = the total price, = 320
Add up what we knew they spent:
50 + 55 + 30 + 35 + 39 + 40 + 42 = 291
The difference between those 2 numbers is the price of the 8th sweater
320 - 291 = 29
24 times 57 times 34 plus 50
Answers
Answer:
46,562 :) Brainliest pleaseeee
~Answer~
46,562
24*57*34=46,512
46,512+50=46,562
How do you do rise over run
Answers
Answer:
Rise over Run is another term for the slope
Step-by-step explanation:
to find the slope, (y2 - y1)/(x2 - x1)
Answer:
If you look at a graph, you see 2 lines forming a "plus" shape. The horizontal line is called the x-axis, and the verticle line is called the y-axis. Rise over run is how much the y changes when the x changes. So if the graph increases its y value by 2 each time the x increases by 1, then rise over run is 2.
PLEASE HELP!!!!!
Whitney is buying a house next year. She applies for a $200,000 loan to be paid in 30 years. Her credit score is 575. Using the table, how much bigger will her monthly payment be than if her score were 850?
$99.00
$680.00
$160.00
$365.00
Answers
Answer:
Because here score is 575 she must pay 2365 per mo according to the table
If her score were 850 she would pay 1685 per month
So the difference in the two rates is:
2365 - 1685 = 680 a month more because of the low credit score
the second box has options in it that say “in the center”, “on the left”, and "on the right”
Answers
Answer:
skew right;
most of the data is on the left (the start)
Step-by-step explanation:
Observing the data distribution in the leaf plot given, we would see that most of the data are occuring at the start. This can be referred to as a positively skewed data. The tail of the distribution (the thin side) is to the right.
Therefore, the shape can be described as SKEW RIGHT.
help me with my math plz
Answers
Answer:
the answer is "D: More students prefer model A1 calculators than model C3 calculators"
Step-by-step explanation:
21 11
5r1
Write the number
five million four thousand three hundred in standard form.
Answers
Answer:
5,004,300
Step-by-step explanation:
5.0043 x 10^6
Find the mean of the data in the dot plot below.
\text{ g} gstart text, space, g, end text
Answers
Answer: 40.5
Step-by-step explanation: If it help please thanks me!
Answer:
???picture please
Step-by-step explanation:
50 POINTS ASAPP
Which equation represents the line that is perpendicular to and passes through (-6,-9)?
A.
x = -9
B.
x = -6
C.
y = -9
D.
y = -4
Answers
Answer: B
x = -6
HOPE THIS HELP
what is 4,000,000 + 800,00 + 10,000 + 2,000 + 400 + 80 + 9 in standard form?
please help asap
Answers
Answer:
4,812,489
Step-by-step explanation:
Answer:
408,12,489
Step-by-step explanation:
hope it helped you
What would x=? Alternate Exterior & Interior Angles, 8th grade math! Help would be appreciated <3
Answers
Answer:
x = 4
Step-by-step explanation:
From the picture attached,
Two parallel lines with a transversal line intersecting these parallel lines at two distinct points.
Angles measuring 36° and (8x + 4)° are Alternate interior angles.
Therefore, measure of these angles will be equal.
(8x + 4)° = 36°
(8x + 4) - 4 = 36 - 4
8x = 32
x = 4
The original price of a shirt is $20. The sales price is $16.30. What percent is the sales price of the original price for the shirt?
Answers
Answer:
81.5
Step-by-step explanation:
make a proportion
20/100 = 16.3/x