How many solutions are there to the equation below?
8(x-3) = 8x - 24
A. Infinitely many solutions
B. No solution
C. One solution
Answers
Answer: The answer is A. Infinite solutions
Related Questions
1. At the Jackson Concrete Company, the regular work week is 40 hours. If an employee works more than 40 hours per week they are eligible to receive overtime pay, which is 1.5 times their normal pay rate. Calculate the gross earnings for each of the following employees: Alicia Mitze's pay rate is $12 she works 8 hours Monday through Friday, works 2 hours saturday and 4 hours sunday. what are her gross earnings
Answers
Answer:
$ 588Step-by-step explanation:
regular working hours = 40
excess is to be paid = 1.5 times the rate
rate = $ 12/hour
Alicia worked:
8 hours Mon to Fri = 8 x 5 = 40 hours x $12 per hour = $ 480
2 hours Sat = 2 hours x ($12 x 1.5) = $ 36
4 hours Sun = 4 hours x ($12 x 1.5) = $ 72
total = $ 588
1A. We draw five cards at random with replacement, keeping track of whether or not each card in the sequence is a club. Find the probability of the following sequence: Club, Not Club, Club, Not Club, Not Club, i.e. CNCNN.
B. Notice that all sequences of 5 cards with exactly two clubs have the same probability. Based on this fact and your result in a), find the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck.
Answers
Answer:
135/512
Step-by-step explanation:
In a deck of card, there are 13clubs.
A deck of card contains 52cards
Total clubs = 13cards
Probability of selecting a club and replacing is expressed as P(C) = total number of clubs/total card
P(C) = 13/52 = 1/4
q = 1-p
q = 1-1/4
q =3/4
Let X be probability function used is a binomial distribution formula expressed as:
Since 5cards is drawn at random, n = 5
P(X = x) = nCx q^(n-x)p^x
P(X = x) = 5Cx 3/4^(5-x)•(1/4)^x
The probability of the sequence is expressed as:
P(X = x) = 5Cx 3/4^(5-x)•(1/4)^x
x is the number of clubs present
b) To find the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck, we will substitute x = 2 into the probability function in (a) a shown;
P(X = 2) = 5C2•3/4^(5-2)•(1/4)^2
P(X = 2) = 5C2•3/4^(3)•(1/4)^2
P(X = 2) = 5C2•27/64•(1/16)
P(X = 2) = 5C2•27/1024
P(X = 2) = 5!/(5-2)!2!•27/1024
P(X = 2) = 5!/3!2!•9/1024
P(X = 2) = 5×4×3!/3!2•27/1024
P(X = 2) = 5×4/2•27/1024
P(X = 2) = 10•27/1024
P(X = 2) = 135/512
Hence the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck is 135/512
Two angles are supplementary. One measure
3
x
−
2
and the other measures
2
x
+
7
. Find the value of x and the measure of the smaller angle.
Answers
Answer:
x = 35°77Step-by-step explanation:
Supplementary angles add up to 180°
3x - 2° + 2x + 7° = 180°5x + 5° = 180°5x = 175°x = 35°Angles
3*35° - 2° = 105° - 2° = 103°and
180° - 103° = 77°Answer:
x = 35
77 degrees
Step-by-step explanation:
Supplementary angles mean that two angles add up to measure 180 degrees.
Solve for x.
(3x - 2) + (2x + 7) = 180
~Combine like terms
5x + 5 = 180
~Subtract 5 to both sides
5x = 175
~Divide 5 to both sides
x = 35
Angle 1:
3x - 2
3(35) - 2
105 - 2
103 degrees
Angle 2:
2x + 7
2(35) + 7
70 + 7
77 degrees
103 > 77
The smaller angle is 77.
Best of Luck!
Help pls
5/2x-7=3/4x+14
Answers
[tex]\frac{5}{2}x-7=\frac{3}{4}x+14[/tex]
[tex]\frac{5x}{2}-7=\frac{3}{4}x+14\\\\\frac{5x}{2}-7=\frac{3x}{4}+14[/tex]
10x−28=3x+56
10x=3x+56+28
10x=3x+84
10x−3x=84
7x=84
[tex]x=\frac{84}{7}[/tex]
x=12
Hope this helps, have a blessed and wonderful day!
In a class of 40 student 6 will be left handed. If a class includes 21 lefties, estimate how many students are in the class.
Answers
Answer:
27 students
Step-by-step explanation:
Find the slope of the line
Answers
Answer:
[tex]m=1[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
(1, -3)
(4, 0)
[tex]m=\frac{0-(-3)}{4-1}[/tex]
[tex]m=\frac{0+3}{3}[/tex]
[tex]m=\frac{3}{3}[/tex]
[tex]m=1[/tex]
Please help me find the answer
Answers
Answer:
Translation And Rotation I believe!
Step-by-step explanation:
Can you explain how to divid fractions so I can help my daughter.
3/8 ÷ 2/3=
Answers
Answer: 9/16
Explanation: When dividing by a fraction, we can change
the division sign to multiplication and flip the second fraction.
So 3/8 ÷ 2/3 means the same thing as 3/8 · 3/2.
So when dividing by a fraction, we can just multiply
by the reciprocal of that fraction or that fraction flipped.
Now multiplying across the numerators and denominators, we have 9/16.
Since 9/16 is in lowest-terms, it's or final answer.
Many studies have found an association between red meat consumption and an increased risk of chronic diseases. What is the relationship between red meat consumption and mortality? A large study followed 120,000 men and women who were free of coronary heart disease and cancer at the beginning of the study. Participants were asked detailed questions about their eating habits every four years, and the study spanned almost 30 years. It was found that the risk of dying at an early age—from heart disease, cancer, or any other cause, rises with the amount of red meat that they consumed.
A. Is this an observational study or an experiment?This is an observational studyThis is an experimentB. What are the explanatory and response variables?The explanatory variable is:____A. Red meat consumption.B. Whether or not a subject dies.The response variable is:____A. Red meat consumption.B. Whether or not a subject dies.
Answers
Answer:
1. This is an observational study.
2. The explanatory variable is A. red meat consumption
3. The response variable is B. Whether or not a subject dies.
Step-by-step explanation:
1. An observational study is a type of study where the researcher would observe the effects and he would also make no attempt to change the outcome
2. The explanatory variable is also called the independent variable and in this case it is red meat consumption because it is what would be used to predict the dependent variable
3. The response variable is known as the dependent variable it is our variable of interest. It is what the researcher is trying to find out. In this case the answer is whether or not the subject dies
Ms. Benoit is a self-employed architect who earns $300,000 annual taxable income. For the past several years, her tax rate on this income has been 35 percent. Because of recent tax law changes, Ms. Benoit’s tax rate for next year will decrease to 25 percent. Based on a static forecast, how much less revenue will the government collect from Ms. Benoit is a self-employed architect who earns $300,000 annual taxable income. For the past several years, her tax rate on this income has been 35 percent. Because of recent tax law changes, Ms. Benoit’s tax rate for next year will decrease to 25 percent. a) Based on a static forecast, how much less revenue will the government collect from Ms. Benoit next year? b) How much less revenue will the government collect from Ms. Benoit next year if she responds to the rate decrease by working more hours and earning $375,000 taxable income? c) How much less revenue will the government collect from Ms. Benoit next year if she responds to the rate decre
Answers
Answer:
a
[tex]Y = \$ 30000[/tex]
b
[tex]Y = \$ 11250 [/tex]
c
[tex]X = \$ 36250 [/tex]
Step-by-step explanation:
From the question we are told that
The annual taxable income is [tex]A = \$ 300,000[/tex]
The tax rate for next year is [tex]r = 0.25[/tex]
The present tax rate is [tex]R = 0.35[/tex]
Generally the present amount of tax collected from Ms Benoit is
[tex]K = A * R[/tex]
[tex]K = 300000 * 0.35 [/tex]
=> [tex]K = \$105000 [/tex]
Generally the amount of tax collected from Ms Benoit nest year is
[tex]B = A * r[/tex]
[tex]B = 300000 * 0.25 [/tex]
=> [tex]B = \$75000 [/tex]
The reduction in the tax amount is mathematically represented as
[tex]Y = K - B[/tex]
=> [tex]Y = 105000 - 75000[/tex]
=> [tex]Y = \$ 30000[/tex]
Generally the tax amount of next year when the income is $375,000 is mathematically represented as
[tex]M = 375 000 * r[/tex]
=> [tex]M = 375 000 * 0.25[/tex]
=> [tex]M = \$ 93 750 [/tex]
The reduction in the tax amount is mathematically represented as when the income for next year is $375,000
[tex]Z = K - M[/tex]
=> [tex]Z = 105000 -93 750 [/tex]
=> [tex]Z = \$ 11250 [/tex]
Generally the tax amount of next year when the income is $275,000 is mathematically represented as
[tex]U = 275,000 * r[/tex]
=> [tex]U = 275 000* 0.25[/tex]
=> [tex]M = \$ 68 750 [/tex]
The reduction in the tax amount is mathematically represented as when the income for next year is $275,000
[tex]X = K - M[/tex]
=> [tex]X = 105000 -68 750 [/tex]
=> [tex]X = \$ 36250 [/tex]
Jennifer bought three buckets at the hardware store. The total cost was $19.95 for all
three buckets. How much did each bucket cost? Explain how you got your answer.
Answers
whats -4+1 is it -3?
Answers
Answer: YES
Step-by-step explanation:
Answer:
the corrects answer is -3
Step-by-step explanation:
3 2/3 x 3/4 multiply fractions pls I don’t have much time!
Answers
Answer:
2.75
hope you get a 100!!
I really don’t understand this question I put a picture in
Answers
Answer:
The answer is 1 4 and the last one
Step-by-step explanation:
graph the equation y = 4x -2.
Answers
I have attached the graph
3(2x+5) = 3x + 4x
What is the solution?
Answers
Answer:
15
Step-by-step explanation:
Step 1:
3 ( 2x + 5 ) = 3x + 4x Equation
Step 2:
6x + 15 = 7x Combine Like Terms/Multiply
Step 3:
15 = 7x - 6x Subtract 6x on both sides
Answer:
15 = x
Hope This Helps :)
In one day's work at the nursery, Dale and Mary together potted 74 plants. If Dale potted 48 , how many did Mary pot?
Answers
Answer: Mary potted 27 plants.
Step-by-step explanation:
The producer believes that there is more variety in people's appreciation of comedies, and so he assumes that the two population standard deviations are not equal in this situation. Calculate the test statistic (t) for this test. Give your answer to 3 decimal places.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]t = 2.51 [/tex]
Step-by-step explanation:
From the question we are told that
From the question we are told that
The first sample mean is [tex]\= x_1 = 71.1[/tex]
The first standard deviation is [tex]\sigma _1 = 19.4[/tex]
The second sample mean is [tex]\= x_2 = 63.4[/tex]
The second sample deviation is [tex]\sigma_2 = 10.5[/tex]
The first sample size is [tex]n_1 = 55[/tex]
The second sample size is [tex]n_2 = 46[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x_1 - \= x_2 }{ \sqrt{\frac{s_1^2 }{n_1} +\frac{s_2^2 }{n_2} } }[/tex]
=> [tex]t = \frac{71.1 - 63.4 }{ \sqrt{\frac{19.4^2 }{55} +\frac{10.5^2 }{46} } }[/tex]
=> [tex]t = 2.51 [/tex]
A coffee manufacturer is interested in the mean daily consumpiton of regular-coffee drinkers and decaffeinated-coffee drinkers. A random sample of 50 regular-coffee drinkers showed a mean of 3.84 cups per day. A sample of 40 decaffeinated-coffee drinkers shoed a mean of 3.35 cups per day. The sample stnadard deviation for those drinking regular coffee is 1.20 cups per day an 1.36 cups per day for those drinking decaffeinated coffee. Assume the population standard deviations are euql. At the 5% significance level, is the mean daily consumption of reglar-coffee drinkers greater than that of decaffeinated-cofee? Find the p-value for this hypothesis test.
Answers
Answer:
The decision rule is
Reject the null hypothesis
The conclusion
There is sufficient evidence to conclude that mean daily consumption of regular-coffee drinkers greater than that of decaffeinated-coffee.
The p-value is [tex]p-value = 0.03682 [/tex]
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_ 1 = 50[/tex]
The first sample mean is [tex]\=x_1 = 3.84[/tex]
The first sample standard deviation is [tex]s_1 = 1.26[/tex]
The second sample size is [tex]n_2 = 40[/tex]
The second sample mean is [tex]\=x_2 = 3.35 [/tex]
The second sample standard deviation is [tex]s_2 = 1.36[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 > \mu_2[/tex]
Generally the test hypothesis is mathematically represented as
[tex]t = \frac{( \= x_1 - \= x_2 ) - 0}{ \sqrt{ \frac{s^2_1 }{n_1} + \frac{s^2_2}{n_2} } }[/tex]
=> [tex]t = \frac{( 3.84 - 3.35 ) - 0}{ \sqrt{ \frac{1.26^2 }{50} + \frac{1.36^2}{40} } }[/tex]
=> [tex] t = 1.789 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(t > 1.789)[/tex]
From the z table
[tex]\Phi (1.789) = 0.03682[/tex]
So
[tex]p-value = P(t > 1.789) = 0.03682 [/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion
There is sufficient evidence to conclude that mean daily consumption of regular-coffee drinkers greater than that of decaffeinated-coffee
Simplify: 25 × {8 – (21 ÷ 3)} + 18
Answers
Answer:
I solved it and my answer is 43
Step-by-step explanation:
25×{8- (7)} +18
25 (1) +18
25×1=25
25+18=
43
I’ll mark brainlist i need help
Answers
witch ones do you need help with
Find the product of (x-13)(x+3)
Answers
[tex](x - 13)(x + 3) \\ = x {}^{2} + 3x - 13x - 39 \\ = x {}^{2} - 10x - 39 [/tex]
HELP PLEASE ASAP DUE TODAYYYYYYYYYYYY PLEASEEEW
Answers
Answer:
600
Step-by-step explanation:
If you get 80% correct on your quiz and you get 16 questions right what was the total number of the questions on the quiz
Answers
What is the domain of the relation?
Answers
Which ordered pairs are solutions to the equation x + 6y = 4?
Answers
Answer:
24
Step-by-step explanation:
For example, the ordered pair x + 6y = 4 answer is 24
The required ordered pair is the solution of the equation x + 6y = 4 is (1, 1/2).
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Given equation,
x + 6y = 4,
In order to determine the ordered pair for the given equation, we must assign the value of the one variable, so the satisfied value of the other value of the independent variable will be determined, and the pair will be said to be the required ordered pair.
Now,
Put x = 1
1 + 6y = 4
y = 4 -1 / 6
y = 1/2
Thus, the required ordered pair is the solution of the equation x + 6y = 4 is (1, 1/2).
Learn more about equations here:
brainly.com/question/10413253
#SPJ5
XANDER TRAVELED 8,568 MILES IN 17 DAYS. ON AVERAGE HOW MANY MILES PER DAY DOES HE TRAVEL
Answers
Answer:
504 Miles per day
8,568 / 17 = 504
Step-by-step explanation:
A new campus was built on a 1100-acre plot of land. How many square miles does it cover? Round to two decimal places, if necessary.
Answers
Answer:
Step-by-step explanation:
2.66
Billy worked 68 hours this week at his job. He worked 4 hours less than 3 times
the hours he worked last week "w". What expression can be used to solve this
problem?
Answers
Answer:
3w-4 = 68
Hope this helped!
A variable star is one whose brightness alternately increases and decreases. For one such star, the time between periods of maximum brightness is 4.5 days, the average brightness (or magnitude) of the star is 5.4, and its brightness varies by ±0.30 magnitude. Find a function that models the brightness of the star as a function of time (in days), t. (Assume that at t = 0 the brightness of the star is 5.4 and that it is increasing.)
Answers
Answer:
f(t) = 5.4 + 0.3sin (2π/4.5t)
Step-by-step explanation:
See attachment