Answer:
3n + 12 = 45
Step-by-step explanation:
3n + 12 = 45
3n = 45 - 12
3n = 33
n = 33
3
n = 11
Answer:
3n + 12 = 45
Step-by-step explanation:
*Process of elimination*
___________________
3n + 12 = 45
(given)
_________
3n + 12 = 45
- 12 - 12
(subtraction property of equality)
__________________________
3n = 33
÷ 3 ÷ 3
(division property of equality)
_______________________
n = 11
_____
7n - 8 = 62
(given)
________
7n - 8 = 62
+ 8 + 8
(addition property of equality)
__________________________
7n = 70
÷ 7 ÷ 7
(division property of equality)
_______________________
n = 10 ≠ 11
________
8n + 6 = 102
(given)
________
8n + 6 = 102
- 6 - 6
(subtraction property of equality)
__________________________
8n = 96
÷8 ÷8
(division property of equality)
_______________________
n = 12 ≠ 11
________
5n - 20 = 25
(given)
________
5n - 20 = 25
+ 20 + 20
(addition property of equality)
__________________________
5n = 45
÷5 ÷5
(division property of equality)
_______________________
n = 9 ≠ 11
George rented a bike to tour a nearby park. The charge to rent the bike is a flat rate of $10.75 plus $4.50 per each hour that he spends riding the bike. How much did George pay if he was riding for 3 1 fourth hours?
Answer: $25.38
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT
What are the values of x and y if this equation is true? 22(x+yi)+(28+4i)+72-62i
Answer: x=2 and y=-3
Step-by-step explanation: you’re welcome
The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative
change in this situation. Round your answer to the nearest hundredth.
Absolute change=
Relative change=
Step-by-step explanation:
Given data
old price= $35,600
new price=$30,189
Absolute change= old price -new price
Absolute change=35,600-30,189
Absolute change=5411
Relative change=(old price -new price)/old
Relative change=(35,600-30,189)/35,600
Relative change=5411/35,600
Relative change=0.151
the relative change is a percentage= 0.151*100= 15.1%
Name the coefficient, base and power for each
c) 21tr
Coefficient:
a) 4x3
b)-w5
base:
power:
Tessa measured an apartment and made a scale drawing. She used the scale 7 millimeters = 3 meters. What is the scale factor of the drawing? Simplify your answer and write it as a ratio, using a colon.
Answer:
7mm : 3000 mm ; 1 : 428 4/7
Step-by-step explanation:
Given that :
Given a drawing produced using a scale :
7 millimeters = 3 meters ; the scale factor for the drawing
Comparing units in millimeter and units on meter
1000 mm = 1 meter
Hence,
3000 mm = 3 meter
Then, we can say;
7 millimeters = 3000 millimeters
7mm : 3000 mm
Divide through by 7
1 : 428 4/7
Sharel decided to buy a charm bracelet for her mother. She buys 10 charms for the bracelet. How many arrangements of charms are there?
Answer:
3,628,800 arrangements
Step-by-step explanation:
Permutation has to do with arrangement.
The number of ways to arrange n objects is expressed as:
n! = n(n-1)(n-2).... (n-r)!
If Sharel buys 10 charms for the bracelet, the number of ways the charms can be arranged is 10! ways
10! = 10*9*8*7*6*5*4*3*2*1
10! = 720*840*6
10! = 3,628,800 arrangements
Hence there are 3,628,800 arrangements of charms
Need help with 7+2=16-?
Answer:
no 7+2 is 9 so yeah ;)))))))))))))))
Question 1. Write a function called simulate that generates exactly one simulated value of your test statistic under the null hypothesis. It should take no arguments and simulate 50 area codes under the assumption that the result of each area is sampled from the range 200-999 inclusive with equal probability. Your function should return the number of times you saw the 781 area code in those 50 random spam calls.
Answer:
The function written in python is as follows:
import random
def simulate():
count = 0
for i in range(1,51):
num = random.randint(200,1000)
if num == 781:
count = count + 1
print(count)
Step-by-step explanation:
This line imports the random library
import random
This line defines the function
def simulate():
This line initializes count to 0
count = 0
This line iterates from 1 to 50
for i in range(1,51):
This line generates random number between 200 and 999
num = random.randint(200,1000)
This line checks if random number is 781
if num == 781:
If yes, the count variable is incremented by 1
count = count + 1
This line prints the number of times 781 is generated
print(count)
Which one doesn't belong? Give me two reasons why. There are no wrong answers. please answer. Picture posted
5/4; it is an inproper fraction in a group of proper ones. it also doesnt have a 2 anywhere.
20/25; it is the only one that isnt simplified. it also has double didgits in both the numerator and denominator
x - 4x + 2 = -X- 2x + 3
Plz help
The question is wrong bro.
You lose one quarter, two dimes and two nickels. Write this amount as a decimal
Answer: -0.55
Step-by-step explanation: We can assume we start off with 0$ of money, so if you lose 1 quarter, 2 dimes, and 2 nickels you would be 55 cents in debt, so 55 cents in debt would be -0.55. -25-20-10=-55.
Unless you are looking for the amount of money not counting whether or not you are in debt so that would just be 0.55.
coefficient of x²and x in 3x-2x+1
If it is ....
[tex]3 {x}^{2} - 2x + 1 = [/tex]
The coefficient of x² is (( 3 ))
& the coefficient of x is (( -2 ))
_________________________________
If it is .....
[tex]3x - 2x + 1[/tex]
[tex]x + 1[/tex]
The coefficient of x² is (( zero 0 ))
& the coefficient of x is (( 1 ))
Becky needs a $5,000 loan in order to buy a boat. Which loan option would allow her to pay the LEAST amount of interest?
A)
A 24-month loan with a 6.25% annual simple interest rate.
B)
A 30-month loan with a 5.75% annual simple interest rate.
0)
A 36-month loan with a 4.00% annual simple interest rate.
D)
A 42-month loan with a 3.75% annual simple interest rate.
Answer:b
Step-by-step explanation:
y=1.1x + 7 In the above equation, what would changing the 7 into a 3 do?
Answer: The y intercept would be different
Step-by-step explanation:
A book shop offers a 24% discount on books.
Sam has to pay $______????
if he purchases books with an original price of $84.
Answer:
$63.84
Step-by-step explanation:
If Sam purchases an $84 book with 24% off, he pays $63.84. This is because first you want to find what percent of the book Sam has to pay for. Because it is 24% off, Sam has to pay for 76% of the book (100-24). Then, convert 76% to a decimal (.76) by moving the decimal to the left two digits. Lastly, multiply 84 by .76.
Simplify 2^4x2^3/2^5x2^4
Answer: 2^6
Step-by-step explanation: 2^4 x 2^3 is simplified to 2^7, 2^7/2^5 is 2^2, 2^2 x 2^4 is simplified to 2^6
A family of four bought a vacafion
package for $4,000. If the tax rate
is 10% how much will they payin
faxes?
A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if: only men(3 Points)
Answer:
There are six possible committees if only men are chosen
Step-by-step explanation:
Here, we want to find the number of possible committees if only men are chosen
In this case, what will happen is that we shall be selecting the 5 people from the available 6 men
Mathematically, we can have this in 6C5 ways
which is read as 6 combination 5 ways
And that will be 6 ways
So there are six possible committees if only men are selected
find the slope and y-intercept of the line
y = -4x-5
Answer:
The slope is -4
The y-int is -5
Step-by-step explanation:
The slope intercept form is structured as:
y= mx + b
Being m is the slope and b is the y-intercept.
13. Find the slope of the line that contains (3, 1) and (1, 1).
Answer:
slope would be zero
Step-by-step explanation:
It is not moving on the graph
Hope this helps!
can someone plaese help me
ryan is performing data entry for an insurance company by taking handwritten records and entering them into the database. Thus far, 15.6% of the handwritten records have had missing data that prevented them from being entered into the database. If Bryan takes 10 handwritten records, what is the probability that at most three records will be incomplete? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Answer:
Probability = 0.943
Step-by-step explanation:
15.6% = 0.156(probability of handwritten records with missing data)
X = random variable denoting number of handwritten records whose data are missing
Values of x = 0,1...10
Using the binomial distribution
X~binomial (10,0.156)
P(x<=3)
P(x= 0)+p(x=1)+...+p(x=3)
10C0(0.156)⁰(1-0.156)¹⁰+10C1(0.156)¹(1-0.156)⁹+10C2(0.156)²(1-0.156)⁸+10C3(0.156)³(1-0.156)⁷
This gives a probability of 0.943.
Find the value of x.
Please help!!
Answer:
5
Step-by-step explanation:
Use the Exterior Angle Theorem.
The E.A.T states that the measurement of an exterior angle is found by adding the two opposite and non-adjacent interior angles.
In this case, the Exterior Angle is 121. The sum can be found by combining 17x - 4 and 8x. Set the equation:
17x - 4 + 8x = 121
First, combine like terms:
17x + 8x - 4 = 121
(17x + 8x) - 4 = 121
(25x) - 4 = 121
Next, Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 4 to both sides of the equation:
25x - 4 (+4) = 121 (+4)
25x = 121 + 4
25x = 125
Next, divide 25 from both sides:
(25x)/25 = (125)/25
x = 125/25
x = 5
5 is your value for x.
~
solve 7x/3 is less than 2
Answer:
x<6/7
Step-by-step explanation:
7x/3 < 2
Multiply both sides by 3,
7x < 6
Divide both sides by 7,
x < 6/7
Answer:
x>6/7
Step-by-step explanation:
7x/3>2
Suppose the average yearly salary of an individual whose final degree is a master's is $(blank) thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $(blank) thousand. Find the average yearly salary of an individual with each of these final degrees.
Complete question :
Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
Bachelors = $53000
Masters = $65000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = b
Salary of Master's degree holder = 2b - 41000
Master's + bachelor's salary = $118,000
Hence,
2b - 41000 + b = 118,000
3b = 118000 + 41000
3b = 159000
b = 159000 / 3
b = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2b - 41000
2(53000) - 41000 = 65000
Alex brought in 6 bottles of apple juice to share with himself and 3 friends at lunch. There are 3.5 liters of juice in each bottle.
If they combine all of the juice together, how much apple juice does each person get to drink?
If they share the apple juice equally among the 4 of them, how much apple juice does each person get to drink?
Answer:
5.25 litres.
Step-by-step explanation:
6 bottles * 3.5 litres = 21 litres of juice total.
21 / 4 = 5.25 litres per person.
I need to do this assignment but I need help on how to draw it and answer the questions because I am confused on how to do these things. Thank you
1) The domain is [0,300]. The range is [0,250]
2) The slope for the initial climb is 3.57. The equation of the line is
3) The rate of change of the second hill is -1.4
4) The rate of change of the third hill is -2.1
5) The blue hill is steeper
6) It is not a function
Step-by-step explanation:
1)
The domain of a function is the set of values of x (the input) for which the function itself is defined.
Instead, the range of a function is the set of values of y (the output) that the function can take.
To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between
x = 0 and x = 300
So, the domain is [0,300].
To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between
y = 0 and x = 250
So, the range is [0,250].
2)
The slope of a function in a certain range is given by
where
is the change in the y-coordinate
is the change in the x-coordinate
For the initial climb (pink line), we have:
Therefore, the slope in this part is
We can now write the equation of the line in the form
y = mx + b
where b is the y-intercept: since it is zero, the line has simply the form
3)
Again, to calculate the slope of the hill, we use:
where
is the change in the y-coordinate
is the change in the x-coordinate
For the green hill, we have:
So the rate of change is
4)
As before, the rate of change of the hill is
For the blue hill, we have:
So the rate of change is
5)
To know which hill is steeper, we need to compare the magnitude of their rate of change.
In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.
For the green hill:
For the blue hill:
We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.
6)
A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).
This means that a function cannot have multiple values of y for the same x (the input).
By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.
a positive real number is 2 more than another. if the sum of the squares of the two numbers is 14, find the numbers
9514 1404 393
Answer:
√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949Step-by-step explanation:
Let x represent the smaller number. Then the sum of squares is ...
x² +(x+2)² = 14
2x² +4x +4 = 14 . . . eliminate parentheses
2x² +4x -10 = 0 . . . put in standard form
x² +2x -5 = 0 . . . . . divide by 2 (because we can)
(x +1)² -6 = 0 . . . . . complete the square
x +1 = √6 . . . we want the positive root
x = -1 +√6
x+2 = 1 +√6
The numbers are √6±1.
help help help help help
When graphed on a number line, which of the following numbers would be farthest away from zero?