Answer:
The original price was $100
Step-by-step explanation:
[tex]\frac{60 dollars}{x} = \frac{60 percent}{100 percent} \\x = \frac{100percent*60dollars}{60 percent}\\ x = 100 dollars[/tex]
This is Linear Equation. The Sum of three numbers is 27. The second number is three times the first, while the third is twice the first, Find the average.
Answer:
average = 9
(the third number is the average)
Step-by-step explanation:
If the sum of three numbers is 27, then the average (mean) is the total (27) divided by the number of values (3):
⇒ 27 ÷ 3 = 9
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
However, if you want to find the actual numbers:
Let x = first number
Let y = second number
Let z = third number
Given:
The sum of three numbers is 27 ⇒ x + y + z = 27The second number is three times the first ⇒ y = 3xThe third number is twice the first ⇒ z = 2xSubstitute y = 3x and z = 2x into x + y + z = 27 and solve for x:
⇒ x + 3x + 2x = 27
⇒ 6x = 27
⇒ x = 4.5
y = 3x
⇒ y = 3 x 4.5
⇒ y =13.5
z = 2x
⇒ z = 2 x 4.5
⇒ z = 9
Therefore, x = 4.5 y = 13.5 and z = 9
which means z (the third number) is same value as the average
Which of the following is equivalent to -4^-2?
Answer:
(-1)/16
Step-by-step explanation:
-4^-2 = -1/((4)(4)) = True
(-1)/4^2
Evaluate 4^(-2).
4^(-2) = 1/16:
Answer: -1/16
Simplify the following:
(-1)/(4×4)
Hint: | Multiply 4 and 4 together.
4×4 = 16:
Answer: (-1)/16
A mechanic charges C(t) dollars to install a new distributor in a car. The formula C(t)=16t+160 is used to find the cost of installation, where t is the number of hours of labor performed by the mechanic. What does the slope represent?
Answer:
Labor cost per hourStep-by-step explanation:
The given formula is linear, with the slope of 16 and the y-intercept 160.
The slope represents a labor cost per hour and the y-intercept is the cost of spare parts used in repair.
Declmal answers
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices - a, b, c, d - and
only one correct answer. What is the probability that he answered both of the problems correctly?
Answer:
We can break this down:
The student has a one out of five chance of getting a correct answer, and a four out of five chance of an incorrect answer. We can express the students odds of getting one incorrect answer as 4/5. In order to get the odds of two wrong answers, we need to multiply this answer again by the odds of choosing a wrong answer. Therefore:
The odds of one wrong answer = 4/5
The odds of two wrong answers = (4/5) * (4/5) = 16/25 chance of getting both of the questions wrong.
Step-by-step explanation:
Polynomial factoring
X^3-5x^2-x+5
Answer:
=143Yiii HAHHAHAHAHAHAHHA
Answer:
(x-5)(x-1)(x+1)
Step-by-step explanation:
hope this helps you :)
Order these three values from least to greatest. Explain or show your reasoning.
65 percentage of 80
82 percentage of 50
170 percentage of 30
Tthese three values from least to greatest is 41. 43 and 51
What is percentage?Percentage can be defined as the fraction of a number and 100.
It is represented with the symbol, %.
From the information given, we have that;
65 percentage of 8082 percentage of 50170 percentage of 30This is represented as;
60/100 × 80
Multiply the values
48
82/100 × 50
Multiply the values
41
170/100 × 30
Mutiply the values
51
Hence, the values are 41, 48 and 51
Learn about percentage on:
https://brainly.com/question/843074
#SPJ1
Suppose Abby tracks her travel time to work for 60 days and determines that her mean travel time, in minutes, is 35.6. Assume the travel times are normally distributed with a standard deviation of 10.3 min. Determine the travel time
such that 26.11% of the 60 days have a travel time that is at least
.
You may find this standard normal distribution table or this list of software manuals useful. Give your answer rounded to two decimal places.
Using the normal distribution, it is found that the the travel time such that 26.11% of the 60 days have a travel time that is at least is of 42.19 minutes.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 35.6[/tex].The standard deviation is of [tex]\sigma = 10.3[/tex].The travel time such that 26.11% of the 60 days have a travel time that is at least X when Z has a p-value of 1 - 0.2611 = 0.7389, hence X when Z = 0.64, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.64 = \frac{X - 35.6}{10.3}[/tex]
[tex]X - 35.6 = 0.64(10.3)[/tex]
[tex]X = 42.19[/tex]
The travel time such that 26.11% of the 60 days have a travel time that is at least is of 42.19 minutes.
More can be learned about the normal distribution at https://brainly.com/question/24663213
8x18÷4+15 use pemdas right answers only
Answer:
51
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Multiplication first, then division, and then addition.
(8*18)÷4+15 (Multiplication)
(144÷4)+15 (Division)
(36) + 15 (Addition)
51
Hope that helps!
Answer:
51.
Step-by-step explanation:
When we use PEMDAS, we need to know what it stands for first. What it stands for will give us the steps necessary to complete and solve this problem.
PEMDAS stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.
In this problem we do not have parenthesis or exponents, so we can go ahead and skip to multiplication. So:
8 x 18 ÷ 4 + 15
144 ÷ 4 + 15
Now we can go to doing division.
144 ÷ 4 + 15
36 + 15
Now we can do addition.
36 + 15
So, the answer is 51.
I hope that this helps.
Which statement is true about liabilities but not expenses
A. They have a normal debit balance.
B. They are due in the period they are incurred.
C. They are on the company’s income statement
D. They are recorded when owed
Answer:
B. They are recorded when owed
Step-by-step explanation:
Hope this helps
What is the slope of this graph. A. -1/3 B. 2/3 C. 1/3 D.-2/3
Answer: 2/3
Step-by-step explanation:
Consider the pts (0, -3) and (3, -1).
change in y = -2
change in x = -3
So the slope is (-2)/(-3) = 2/3
HELP PLEASE I AM SO STUCK AND CONFUSED
Answer:
5 2/3 inStep-by-step explanation:
Circumference equation:
C = 2πrSubstitute the values of C and π, then solve for r:
35 13/21 = 2*22/7*r21(35 + 13/21) = 21*44/7r735 + 13 = 132r748 = 132rr = 748/132r = 5 2/3 inIn a neighborhood, 1240 of the lots have three or more trees. Which percentage of lots in the neighborhood have three or more trees?
Answer: 30%
Step-by-step explanation:
Trey family went on a hike that was about 8 blank. Millimeters, centimeter, meters or kilometer
How do I turn (7, -1) and (21, -5) into slope intercept form
Math Help Help Fast Alot of points
Observe the side lengths
Here
JI>JH>IHNow we know
that bigger side has bigger opposite angle
[tex]\\ \tt\hookrightarrow <H ><J ><I[/tex]
Answer:
Observe the side lengths
Here
JI>JH>IH
Now we know
that bigger side has bigger opposite angle
Step-by-step explanation:
Evaluate variable expressions for 1 and 2
Answer: The answer is 10
Step-by-step explanation:
2a = 2 times 3 which is 6. b2= 2 times 2. 2 times 3 is 6, 2 times 2 is 4. 6 + 4 is 10
Mr. Wright has 25 students in his class. More than half of the students
are boys. Which ratio could represent the ratio of girls to boys in Mr.Wright's class?
Answer:
x : x<y
Step-by-step explanation:
x = girls
y = boys
Hope it helps
Susan Marciano invested part of her 28,000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 5% loss. Find the amount of each investment if her overall profit was 2,920
a = amount that paid 11% profits
b = amount that lost 5% profits
we know that whatever those values are, a + b = 28000.
how much is 11% of "a"? well, (11/100) * a = 0.11a.
how much is 5% of "b"? well (5/100) * b = 0.05b.
[tex]a+b=28000\implies b=28000 - a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{paid~11\%}{0.11a}~~ \stackrel{\stackrel{loss}{\downarrow }}{-} ~~\stackrel{lost~5\%}{0.05b}~~ = ~~\stackrel{overall~paid}{2920} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.11a~~ - ~~0.05(28000-a)}=2920\implies 0.11a+0.05a-1400=2920 \\\\\\ 0.16a-1400=2920\implies 0.16a=4320\implies a=\cfrac{4320}{0.16} \\\\\\ \boxed{a=27000}~\hspace{10em}\boxed{\stackrel{28000-a}{b=1000}}[/tex]
y-intercept = 4, goes through the point (2,3)
Write in slope intercept form
Use intercepts to graph the linear equation -12x+3y=24
Answer:
Step-by-step explanation:
PLEASE HELP SOLVE THIS IM STUCK AND VERY CONFUSED I WILL GIVE BRAINLY
In simple words, The question is asking us to find the Slope of the given line...
[tex] \boxed{ \sf \: m = \frac{rise}{run} = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } }[/tex]
The letter m represents slopeTo find the slope, We need to take two point and then identitify x1, x2, y1, y2
(3,-4)(-1,8)Now,[tex] \tt \: m = \frac{8 - ( - 4)}{ - 1 - 3} [/tex]
[tex] \tt \: m = \frac{8 + 4}{ - 4} [/tex]
[tex] \tt \: m = \frac{12}{ - 4} [/tex]
[tex] \boxed{ \bf \: slope = - 3}[/tex]
Solution:
Note that:
Slope = Rise/RunRise and Run stated in pictureStep-1: Pick and two points on the line.
My chosen points are: (0,5) and (2,-1)Step-2: Use the formula y₂ - y₁/x₂ - x₁:
y₂ - y₁/x₂ - x₁ = Slope=> -1 - 5/2 - 0 = Slope=> -6/2 = Slope=> -3 = SlopeThe slope of the line is -3.
Noelle is 4 feet tall and her brother Oliver us 42 in. How many inches taller is Noelle than Oliver?
Answer:
6 inches
Step-by-step explanation:
There are 12 inches in 1 foot so
12 inches X 4 feet = 48 inches
Then we subtract the 48 in minutes the 42 in to find the difference between Noelle and Oliver's height
48-42=6
HELP ME OUT PLEASE!!!
Which transformation below caused AB to transform into A'B'? Use graph paper to sketch the transformation if needed.
A) a reflection across the x-axis
B) a counter-clockwise 90 degree rotation about the origin
C) a reflection across the y-axis
D) a translation 3 units down and 7 units left
The transformation below that caused AB to transform into A'B' is a reflection across the y-axis
How to translate a coordinate point to anotherGiven the following coordinates
A = (6, 2)
B = (2, 6)
A' = (-6, 2)
B' = (-2, 6)
According to the reflection rule, the reflection over y axis is given as:
[tex](x,y)\rightarrow (-x,y)[/tex]
Note that the x-coordinate was negated as seen from the translation A to A' and B to '.
Hence the transformation below that caused AB to transform into A'B' is a reflection across the y-axis
Learn more on transformation here: https://brainly.com/question/1462871
What’s the correct answer for this?
Answer:
336cm is 3.36m
Step-by-step explanation:
divide 336 by 100 to get to meters which is 3.36m
Answer:
[tex]\boxed{\frac{336}{1} = \frac{336}{100} = 3.36 }[/tex]
1 meter → 100 centimetres
solve:
100 centimetres → 1 meter
1 centimetres → [tex]\frac{1}{100}[/tex] meter
336 centimetres → [ [tex]\frac{1}{100}[/tex] [tex]* 336[/tex] ] meter
3.36 meter
-3/5b+7+2/5b=19 please answer
Step-by-step explanation:
here your answer
above photo is your answer
Simplify:
{(-8)^-4 ÷ 2^-8}^2
Answer:
ok so first we have to do whats in the brackets then we have to do to exponits so first
(-0.00024414062divided by 0.00390625)^2
-0.06249999872^2
-0.00390624984
Hope This Helps!!!
can you please solve this question please
Answer:
B. False.
Step-by-step explanation:
4 (x + 6) = 24
4x + 24 = 24
4x = 0
x = 0
Therefore, answer choice B is the correct answer.
What is three hours later than 2:30
Answer:
Three hours later than 2:30 is 5:30
Step-by-step explanation:
please help me i am stuck, i need better instructions. i dont want an answer. tysm for ur time.
Answer:
38 in²
Step-by-step explanation:
5 faces:
front: area = 2*6/2 = 6
back = front = 6
left = 3 * 2 = 6
right = 4*2 = 8
bottom = 6*2 = 12
total = 6 + 6 + 6 + 8 + 12 = 38 in²
Choose Yes or No to tell if the fraction will make each equation true.
Answer:
#1 Is Yes
#2 is no
#3 is no
#4 is yes