Answer:
Options (2), (4) and (5)
Step-by-step explanation:
Option 1
(3x + 14 - x + 112) and (4x + 134)
Since, (3x + 14 - x + 112) = (3x - x) + (12 + 112)
= 2x + 124
Therefore, (3x + 14 - x + 112) ≠ (4x + 134) [Not equivalent]
Option 2
(2 + 6x) and 2(3x + 1)
2(3x + 1) = (6x + 2)
Therefore, (2 + 6x) = (6x + 2) [Equivalent]
Option 3
3(x + 1) - (1 - x) and (2x + 3)
Since, 3(x + 1) - (1 - x) = 3x + 3 + x - 1
= (3x + x) + (3 - 1)
= 4x + 2
Therefore, (2x + 3) ≠ (4x + 2) [Not equivalent]
Option 4
3x and 4(x + 1) - x - 4
Since, [4(x + 1) - x - 4] = 4x + 4 - x - 4
= (4x - x) + (4 - 4)
= 3x
Therefore, 3x = [4(x + 1) - x - 4] [Equivalent]
Option 5
(5.5 + 2.2x + 3.8x - 4.1) and (1.4 + 6x)
Since, (5.5 + 2.2x + 3.8x - 4.1) = (2.2x + 3.8x) + (5.5 - 4.1)
= (6x + 1.4)
Therefore, (1.4 + 6x) = (6x + 1.4) [Equivalent]
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table.
A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?
A) 0.59
B) 0.68
C) 0.71
D) 0.80
Answer:
C) 0.71.
Step-by-step explanation:
To find the probability of an event occurring, we need to sum up all the probabilities of the outcomes that satisfy the event. In this case, the event "F or C" is satisfied by all the outcomes in which the participant's first motor vehicle had four cylinders or was a car.
We can see from the table that 118 out of the 200 participants had their first motor vehicle as a car, so the probability of this event occurring is 118/200 = 0.59. Similarly, we can see that the probability of the event "first motor vehicle had four cylinders" occurring is (118 + 4) / 200 = 0.62.
Therefore, the probability of the event "F or C" occurring is the sum of the probabilities of these two events occurring, which is 0.59 + 0.62 = 0.71. The correct answer is therefore C) 0.71.
The value of the probability P(F or C) is 0.80, Option D is correct.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a survey participant is randomly selected.
Let F be the event that the participant’s first motor vehicle had four cylinders and
let C be the event that the participant’s first motor vehicle was a car.
We need to find the value of P(F or C)
The number of P or c is 118+6+18+16+2
=160
The number of people in total are 200.
P(F or C )= 160/200
=0.80
Hence, the value of the probability P(F or C) is 0.80, Option D is correct.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ7
Which equation in standard form has a graph that passes through the point (3,-9) and has a slope of 5/3?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
because I did it and good night and sleep
The length of a rectangle is 3 more than the width. The
perimeter of the rectangle is 72 in.
What is the length of the rectangle?
Answer ASAP for brainly
Answer:
19.5 in.
Step-by-step explanation:
Let the width = x.
The length is 3 more than the width, so the length is x + 3.
perimeter = 2 * length + 2 * width
perimeter = 2(x + 3) + 2x
perimeter = 72
2(x + 3) + 2x = 72
2x + 6 + 2x = 72
4x + 6 = 72
4x = 66
x = 16.5
x + 3 = 16.5 + 3 = 19.5
Answer: 19.5 in.
Answer:
i did it wrong but i dont know how to delete my answer now
Step-by-step explanation:
If D is the midpoint of BA, and E is the midpoint of BC, What is there formal geometric name for DE in ABC?
Answer:
hmmmmmmmmm...
Step-by-step explanation:
please awnser photo of problem
Answer:
i cant see the photo
Step-by-step explanation:
Answer:1)c 2)d 3) b 4) a
M is the slope, b will always be the y-intersect. X is independent and y is independent.
1. A candy cane company has 2,683 candy canes to package. How many
packs of 12 candy canes will the company be able to make?
Ice cream costs $1.99 per container. At a tax rate of 4.75%, estimate the final cost of the
ice cream.
Answer:
The final cost of ice-cream container is: 2.09 dollars
Step-by-step explanation:
In order to find the price of an item after adding tax the tax is found on the price of the item and then added to the cost.
Given
Price of ice cream container = $1.99
Tax Rate = 4.75%
The amount of tax t will be:
[tex]t = 4.75\%\ of\ 1.99\\= 0.0475*1.99\\=0.094525[/tex]
Rounding off to nearest hundredth
t = 0.10
The final cost is given by:
[tex]Final\ cost = Cost + tax\\= 1.99+0.10\\=2.09[/tex]
Hence,
The final cost of ice-cream container is: 2.09 dollars
Need help with this if anyone can
9514 1404 393
Answer:
7.0
Step-by-step explanation:
The relationship of interest is ...
Tan = Opposite/Adjacent
tan(25°) = x/15
x = 15·tan(25°) ≈ 6.9946
x ≈ 7.0
The Gross National Product (GNP) is the value of all the goods and services produced in an economy, plus the value of the goods and services imported, less the goods and services exported. During the period 1994-2004, the GNP of Canada grew about 4.8% per year, measured in 2003 dollars. In 1994, the GNP was $5.9 billion.
Assuming this rate of growth continues, in what year will the GNP reach $10 trillion?
a 2164
b 2103
c 2168
d 2153
1/x+2=2/x-1 identify all values of X that make the equation true
9514 1404 393
Answer:
as written: x = 1/3
as maybe intended: x = -5
Step-by-step explanation:
As written
(1/x) +2 = (2/x) -1
3 = 1/x . . . . . . . . . add 1-(1/x)
x = 1/3
__
As maybe intended
1/(x +2) = 2/(x -1)
x -1 = 2(x +2) . . . . . . . multiply by (x+2)(x-1)
x -1 = 2x +4 . . . . . . . . eliminate parentheses
-5 = x . . . . . . . . . . . . . subtract (x+4)
If x and y are two complementary angles,then find the value of y if measure of angle x is 20 degree
Answer:
y = 70°
Step-by-step explanation:
Complementary angles sum to 90°, then
x + y = 90°, that is
20° + y = 90° ( subtract 20° from both sides )
y = 70°
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!
The triangle shown is reduced to form a similar triangle that is 40% smaller than its current size. Write two equivalent expressions that could be used to find the perimeter.
A. 9.6x + 12
B. 9.6x - 12
C. 0.6(6x + 2x + 10 + 8x - 30)
D.0.40(6x + 2x + 10 + 8x - 30)
Answer:
B and C
Step-by-step explanation:
Help! I will give brainliest!
Write a positive or negative integer that represents the situation.
A hiker climbs 900 feet up a mountain.
The integer___represents the situation.
Answer:
+900 ...................
What is 28 + .7 + 0.14
Answer:
9.2
Step-by-step explanation:
Answer:
28.84
Step-by-step explanation:
28 + .70 + 0.14 = 28.84
The county fair is in town. The cost is $10 for admission and 50 cents for each ride.
You have $20 to spend. Write an inequality that represents the maximum number of
rides you can go on.
Answer:
A.
Step-by-step explanation:
For every ride you, pay an extra 50 cents with a 10 dollars for admission
i think its C becuase it goes perfectly
Please Answer
I need this answer by tomorrow please
Answer:
I'd say x=4.5
Step-by-step explanation:
I learned this in 6th grade so don't completely take my word for it. But you can build off of my answer probably. Sorry.
At 6 AM the temperature read -17 F by noon it had risen by 23 F. Find the new temperature
Answer:
6 F
Step-by-step explanation:
We want to find the temperature difference
Given that the initial temperature read minus 17 F
And the new temperature is increased by 23 F
The new temperature is
=-17+23= 6 F
Therefore the new temperature is 6F
if a letter in the word calculator is chosen at random what is the probability that it has a vertical line of symmetry
Answer:
down the middle of an object with vertical symmetry, the two sides
will be mirror images of each other.
Examples of capital letters that have vertical symmetry are:
A H I M O T U V W X Y
Step-by-step explanation:
I believe the answers is it has a 30% chance to land on a letter with a vertical line of symmetry
Correct me if I'm wrong hope this helps plz mark brainliest
Describe how the graph is related to the graph of y = lxl.
Answer:
Vertical shift down 4 units
Step-by-step explanation:
Vertical shift down 4 units
the art teacher is sending home a total of 3,150 projects before winter break if each of her 150 students had the same number of projects how many did each student do?
Answer:
21 projects each
Step-by-step explanation:
3150 ÷150
ASAP!!!! What is the answer?
Answer:
A, B, C
Step-by-step explanation:
Since the sum of the angles in a triangle is [tex]180^{\circ}[/tex], you can set the equation [tex]9x-7+7x-9+28-2x[/tex]. Simplifying gets [tex]14x=168[/tex]. Dividing gets you [tex]x = 12[/tex]. This is only x so you have to substitute 12 for x in the angles in the beginning to get [tex]\angle{A}=101^{\circ}[/tex], [tex]\\\angle{B}=75^{\circ}[/tex], [tex]\\\angle{C}=4^{\circ}[/tex]
How many albums are in Sal’s collection?
Answer:
too hard!! (jkk)
Step-by-step explanation:
188 albums.
Add all numbers together and you should get 188
2/5 of number n is 18, find the value of n
Answer:
n= 45
Step-by-step explanation:
2/5×n=18
2n/5=18
2n/2=90/2
n=45
How many turns will the graph of f(x) = 3x5 -2x4 + 7x2 -9x + 8 have?
Answer:
The number of turns of graph for [tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex] are 4
Step-by-step explanation:
We need to find the number of turns the graph of [tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex] have?
Turns of graph:
The graphs turns when it changes from increasing to decreasing (rise to fall) or decreasing from increasing (fall to rise)
Turns of graph for a polynomial
A polynomial having degree n will have maximum n-1 turns.
So, for the given polynomial
[tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex]
We need to find degree
The highest exponent of the polynomial is the degree of polynomial
So, Degree n = 5
Number of turns = n - 1 = 5-1 =4
So, the number of turns of graph for [tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex] are 4
(x+3)^2=(x+3)(x+3)=x^2+6x+9 express x^2+6x+13 in the form (x+a)^2+b giving the values of a and b
Answer:
The value of a is 3 while the value of b is 4
Step-by-step explanation:
Here, we want to express the given polynomial in the given form while giving the values of a and b
We can rewrite the polynomial as follows;
x^2 + 6x + 9 + 4
We can factorize the first part;
x^2 + 3x + 3x + 9 + 4
x(x + 3)+ 3(x + 3) + 4
= (x + 3)(x + 3) + 4
= (x + 3)^2 + 4
SOMEONE help PLZ i will give brsinliest you write the two goals
Answer:
my first goal: my goal is to master on how to solve linear equations
Second goal: to get better at doing rations and rates
Step-by-step explanation:
Answer:
Given : A=(1,2)≡(x
1 ,y
1
) and B=(3,−2)≡(x
2
,y
2
)
Let M=(x,y) be the midpoint of AB
x=(
2
x
1
+x
2
) and y=(
2
y
1
+y
2
)
Then, x=
2
1+3
and y=
2
2−2
⟹x=2 and y=0
∴M=(2,0)
∴ Coordinates of the midpoint of AB is (2,0)
Step-by-step explanation:
y = -2x + 7 and y = 3x – 8
Answer: x=3 and y=1
I'm not sure if that's the answer you wanted.
write the factors of the following expression x3 (2a‐6)+x2 (2a-6)
Given:
The expression is
[tex]x^3(2x-6)+x^2(2x-6)[/tex]
To find:
The factors of the given expression.
Solution:
We have,
[tex]x^3(2x-6)+x^2(2x-6)[/tex]
First taking [tex](2x-6)[/tex] common, the given expression can be written as
[tex]=(2x-6)(x^3+x^2)[/tex]
Taking [tex]x^2[/tex] common from [tex](x^3+x^2)[/tex], we get
[tex]=x^2(2x-6)(x+1)[/tex]
Therefore, the factors of the given expression are [tex]x^2(2x-6)(x+1)[/tex].
What does the constant of proportionality represent?
a
The constant ratio of one variable quantity to another to which it is proportional (or the Unit Rate)
b
The value that says all of our ratios are equivalent
c
The number that tells us how fast something is moving
d
The relationship between two rates with no similar units
100 points please answer!!!!
Answer:
a.
Step-by-step explanation:
By definition, the constant of proportionality is a constant ratio of two variables that are proportional. So the answer is a . The constant ratio of one variable quantity to another to which it is proportional (or the Unit Rate).
3.5.PS-9
Question Help
Think About the Process Karen purchased a DVD player on sale. The original selling price was
$179.30. The sale price was $153.02. What is the first step in finding the percent markdown? Find
the percent markdown.
Answer:
The first step is to subtract the sale price from the original sale price. The percent markdown is 14.7%
Step-by-step explanation:
Subtract sale price from original sale price:
$179.30 - $153.02 = $26.28
Find what percent equals $26.28 of 100% of the original sale price:
$26.28 * 100 / $179.30 = 14.7%