Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 the job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.
30 + 15 x greater-than-or-equal-to 90
Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.
Answers
Hey there! I'm happy to help!
The only thing we have to do is solve our inequality to find the answer!
30+15x ≥ 90
We subtract 30 from both sides.
15x ≥ 60
Finally, we divide both sides by four.
x ≥ 4
Therefore, Deepak can only accept jobs that last 4 or more hours.
I hope that this helps! Have a wonderful day!
The solution for the inequality is x≥4. Therefore, option A is the correct answer.
Given that, Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The inequality for the given situation is 30+15x≥90
Subtract 30 on the both the sides of an inequality, which is
30+15x-30≥90-30
⇒ 15x≥60
Divide 15 on the both the sides of an inequality, that is
15x/15≥60/15
⇒ x≥4
The solution for the inequality is x≥4. Therefore, option A is the correct answer.
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Related Questions
Lucy spent 2 1/4 hour riding her bike. She then spent 3 3/4 hour playing video games. How much longer did she spend playing video games then riding her bike
Answers
Answer: 1 \(\frac{1}{2}\)
Step-by-step explanation: Turn the mixed fraction into improper fraction, which is 9/4 and 15/4. Subtract 15/4 and 9/4 to get 3/2. Convert 3/2 into mixed number to get 1 1/2
hope it helps!!
35 is what percent of 105
Answers
Answer:
33.33%
Step-by-step explanation:
We Take
(35 ÷ 105) x 100 ≈ 33.33%
So, 35 is 33.33% of 105
Fred and Gina are playing tennis. The first player to win 2 sets wins their match. Fred has a 3/5 chance to win each set while Gina has a 2/5 chance. What is the probability that the match goes three sets until someone wins?
Answers
Answer:
60/125 which can be reduced to 12/25
Step-by-step explanation:
Gina wins
2/5 * 2/5 = 4/25
3/5 * 2*5 * 2/5 = 12 /125
2/5 * 3/5 * 2/5 = 12/125
Fred Wins
3/5 * 3/5 = 9/25
2/5 * 3/5 * 3/5 = 18/125
3/5 * 2/5 * 3/5 = 18/125
P(3 sets) = (18 + 18 + 12 + 12)/125 = 60/125
P(2 sets) = (20 + 45)/125 = 65/125
I found the probability of 2 sets so I could add the results together to see if the probability totals 1. It does. This question is done correctly.
OK for real this is a hard only verified experts can do this!!!!
Answers
The numeric value of the exponential expression in this problem is given by the following option:
A. 2^12.
How to obtain the numeric value of the exponential expression?The exponential expression for this problem is defined as follows:
8^x/2^y.
8 is the third power of 2, hence:
8 = 2^3.
When a term is elevated to two of it's powers, the powers are multiplied, hence:
(2^3)^x = 2^(3x).
Meaning that the exponential expression is then written as follows:
8^x/2^y = 2^(3x)/2^y.
When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:
2^(3x)/2^y = 2^(3x - y).
As stated in the problem, the numeric value of the expression 3x - y is given as follows:
3x - y = 12.
Hence the entire expression is simplified as follows:
2^(3x - y) = 2^12.
Meaning that the correct option is given by option A.
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Answer:A. 2^12.
Step-by-step explanation:i did it and got it right
y = x + 3
help with table and graph
Answers
Table:
1st row: x = -2 and y = 1
2nd row: x = -1 and y = 2
3rd row: x = 0 and y = 3
(It will continue going on with x and y each going up by one infinitely.)
Graph:
The graph is linked, so you can plot the points.
If needed, here are the plotted points:
-2, 1
-1, 2
0, 3
(The same things put in the table. Also, if needed, I added the extra points of 1, 4 and 2, 5 on the image.)
Hope this helps! :D
Which event is considered neither likely nor unlikely?
A, Rolling a number greater than 1 on a six-sided number cube.
B, Rolling a 1 on a six-sided number cube.
C, Getting heads when flipping a coin.
D, Choosing an X,Y, or Z from a bag containing all the letters of the alphabet.
Answers
According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.
Which event is considered neither likely nor unlikely?In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:
A, rolling a number greater than 1 on a six-sided number cube, has a probability of 5/6, which is greater than 0.5, so it is considered likely.B, rolling a 1 on a six-sided number cube, has a probability of 1/6, which is less than 0.5, so it is considered unlikely.C, getting heads when flipping a coin, has a probability of 1/2, which is equal to 0.5, so it is considered neither likely nor unlikely.D, choosing an X, Y, or Z from a bag containing all the letters of the alphabet, would depend on the specific contents of the bag. If the bag contains an equal number of each letter of the alphabet, the probability would be 3/26, which is less than 0.5, so it would be considered unlikely.According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.
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What is the volume of a cylinder with base radius 3 and height 8 in square units?
Answers
Answer:
226.19 cm³
Step-by-step explanation:
Volume of cylinder = πr²h
π = pie (3.142)
r = radius
h = height
Volume = π × 3² × 8
= 226.19 cm³
a fair die is rolled 100 times.the results are shown below
number:. 1. 2. 3. 4. 5. 6
no of times:. 12. 16. 25. 18. 15. 14
what is the probability of getting
1?
2?
3?
4?
5?
6?
Answers
1.) Probability of getting 1: 0.12 or 12%.
2.) Probability of getting 2: 0.16 or 16%.
3.) Probability of getting 3: 0.25 or 25%.
4.) Probability of getting 4: 0.18 or 18%.
5.) Probability of getting 5: 0.15 or 15%.
6.) Probability of getting 6: 0.14 or 14%.
To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:
Number: 1 2 3 4 5 6
Times: 12 16 25 18 15 14
To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):
Probability of getting 1 = 12 / 100 = 0.12.
Probability of getting 2 = 16 / 100 = 0.16.
Probability of getting 3 = 25 / 100 = 0.25.
Probability of getting 4 = 18 / 100 = 0.18.
Probability of getting 5 = 15 / 100 = 0.15.
Probability of getting 6 = 14 / 100 = 0.14.
Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:
1: 0.12 or 12%,
2: 0.16 or 16%,
3: 0.25 or 25%,
4: 0.18 or 18%,
5: 0.15 or 15%,
6: 0.14 or 14%.
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A random sample of 17 students, taught in traditional lab sessions, had a mean test score of 71.5 with a standard deviation of 4.8. A random sample of 13 students, taught using interactive simulation software, had a mean test score of 78.5 with a standard deviation of 6. Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software
Answers
Answer:
The calculated value of t= -0.9468 does not lie in the critical region t= -1.701. Therefore we accept our null hypothesis that mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the 0.05 significance level
Step-by-step explanation:
Categories Sample Size Mean Standard D
Traditional Lab 17 71.5 4.8
Software 13 78. 5 6
We are using Student's t- test considering that the population variance is equal.
We formulate null and alternate hypotheses are
H0 : u1 < u2 against Ha: u1 ≥ u 2
The Significance level alpha is chosen to be ∝ = 0.05
The critical region t ≤ -t (0.05, 28) = -1.701
Degrees of freedom is calculated df = υ= n1+n2- 2= 17+13-2= 28
Here the difference between the sample means is x`1- x`2= 71.5-78.5= -7
The pooled estimate for the common variance σ² is
Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]
= 1/17+13-2 [ 71.5²+78.5²]
Sp = 20.0664
The test statistic is
t = (x`1- x` ) /. Sp √1/n1 + 1/n2
t= -7/ 20.0664 √1/17+ 1/13
t= -7/7.393
t= -0.9468
The calculated value of t= -0.9468 does not lie in the critical region t= -1.701. Therefore we accept our null hypothesis that mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the 0.05 significance level
PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answers
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
Select all statements that are true.
Answers
Answers:
A, B, D, E
Nearly everything except choice C is true.
====================================================
Explanation:
Choice A is true because sine = opposite/hypotenuse.Choice B is true as well because cosine = adjacent/hypotenuseTangent is opposite/adjacent. The 4/9 should be 9/4. Therefore, choice C is false. If beta was theta, then tan(theta) = 4/9 would be true.Choice D is true because of the pythagorean theorem a^2+b^2 = c^2.Choice E is true because tan = opposite/adjacent, and the 9 and 4 are in the correct order (see choice C).Can someone help me please im so confused
Answers
Answer:
it is either the dice or the cups
Step-by-step explanation:
Answer:
cups
Step-by-step explanation:
i might be wrong
3.14×6.25 please. thank you.
Answers
Answer:
0.875
Step-by-step explanation:
Answer:
19.625
Step-by-step explanation:
3.14 × 6.25 = 19.625I hope this helps!
i need help with these asap
Answers
Answer:
Step-by-step explanation:
a) (72 + 78 + 80 + 85 + 85 + 92 + 96) / 7 = 588 / 7 = 84 mean
b) (72 + 78 + 80 + 85 + 85 + 92 + 96) 85 median
1 2 3 4 3 2 1
c) (72 + 78 + 80 + 85 + 85 + 92 + 96) 85 mode
1 1 1 2 1 1
d) the sum of the difference of median and scores is greater below the median than it is above the median
e) (588 + 100) / (7 + 1) = 688/8 = 86
Help with proving the following
Answers
Hello and Good Morning/Afternoon
Let's take this problem step-by-step:
First step
⇒ consider the fact cotθ = 1 / (tanθ)
\(\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }\)
Second step
⇒ form a common denominator for the fraction in the 'denominator'
\(\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }\)
Let's flip over the fraction on the denominator
\(\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx\)
And there you go, you have proved the statement by following these steps!
*note, I used 'x' because the equation creator didn't have 'θ' symbol
Hope that helps!
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Ahab spent the day at the mall. First, he bought three tires for $50 each. Later, he returned one tire. After that, he found a five dollar bill. Also,he bought two jackets for $40 each. Write the total change to Ahab's funds as an integer.
Answers
Ahab's total change to funds is -$175, which means he spent more than he gained.
What are the funds?Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.
Later, he returned one tire, so he gets $50 back.
He also found a $5 bill, so he has an extra $5.
He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.
The total amount Ahab spent is $150 + $80 = $230.
However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.
Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.
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I NEES HELP STATISTICS
Answers
- This year at least one of their clients will have a starting salary of at least $40,000.
There is not enough information to determine whether this statement is true or false. The mean starting salary from last year does not provide information on this year's salaries.
- Last year some of their clients had a starting salary of exactly $40,000.
This statement is true. Since the mean includes all starting salaries, it is possible for some clients to have had a starting salary of exactly $40,000.
- Last year fewer than half of their clients had a starting salary of $40,000 or less.
This statement is false. Since the mean starting salary is $40,000, it is impossible for fewer than half of the clients to have had a starting salary of $40,000 or less.
- Last year some of their clients had a starting salary of more than $36,000.
This statement is true. Since the mean starting salary is $40,000, it is possible for some clients to have had a starting salary of more than $36,000.
- Last year at least one of their clients had a starting salary of at least $40,000.
This statement is true. Since the mean starting salary is $40,000, it is possible for at least one client to have had a starting salary of at least $40,000.
Therefore, the statements that must be true based on the given information are:
- Last year some of their clients had a starting salary of exactly $40,000.
- Last year some of their clients had a starting salary of more than $36,000.
- Last year at least one of their clients had a starting salary of at least $40,000.
Which expression is equivalent to this expression (x-1)-(1-x)+x
Answers
Answer:
ihkjl; yfcuhbkn mguv7g8inngvui vuiihj n.
Step-by-step explanation:
A bag contains 8 red marbles, 4 white marbles, and 5 blue marbles. You draw one marble at random. Find Pared and blue) (1 point) 40 o 17 00 o SIAMO 0
Answers
Answer:
5/(8+4+5) = 5/17
Step-by-step explanation:
total has (8 red +4 white+5 blue）= 17
we looking for blue , so is 5.
5/17
Match each linear system with one of the phase plane direction fields.
(The blue lines are the arrow shafts, and the black dots are the arrow tips.)
I need help. I don't know how to use the eigenvalues and take that information and put it on a graph. Please explain thoroughly! Thanks.
Answers
The correct match for each linear system with one of the phase plane direction fields will be:
1:B
2:C
3:D
4:A
What is plane?
In geometry, a plane is a surface made up of all the straight lines connecting any two locations on it. It is, in other words, a level or flat surface. A plane is uniquely defined in a Euclidean space of any number of dimensions by one of the following: three non-collinear points are used. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature. The flat surfaces of a cube or cuboid, as well as the flat surface of paper, are all true instances of geometric planes, despite the fact that it is difficult to envision a plane in real life.
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What’s the answer to this problem 5 yards 2 feet multiply by 2 ?
Answers
Answer:
Step-by-step explanation:
11.33 yards
The answer to the problem is given by the unit conversion A = 34 feet
Given data ,
The measurements are converted into a common unit before multiplying the numbers to find the solution.
First, let's convert the measurements to a common unit, such as feet.
From the unit conversion:
1 yard = 3 feet
So , 5 yards can be converted to feet by multiplying it by 3
5 yards = 5 x 3 = 15 feet
Now that both measurements are in feet, we can perform the multiplication:
(15 feet + 2 feet) x 2
A = 17 feet x 2
A = 34 feet
Hence , the answer to the problem 5 yards 2 feet multiplied by 2 is 34 feet
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y=(x + 2)² + 2
Graph
Answers
Answer:
use desmos___.com it should have a grapghing calculator
Step-by-step explanation: instead of using y put f(x) when u do
789342 x 152387 x 69248
Answers
Step by step Explanation:
I used a calculator
a2(5x – 3) = 24
b) 5(2x + 1) = 50
Answers
Answer:
A= x=3
B= x=9/2
Step-by-step explanation:
Solve the attached sum (Trigonometry)
Answers
Answer: \(\sec \theta\)
Step-by-step explanation:
The period of \(\sec \theta\) is \(2\pi\), so \(\sec(4\pi -\theta)=\sec(-\theta)\)
Also, as \(\sec \theta\) is an even function, \(\sec(-\theta)=\boxed{\sec \theta}\)
4. Simplify: -3(2x - 5)-2(4x+3)
A.14x-9
B.-2x+21
C.-14x+9
D.-14x+ 21
Can someone help me ?
Answers
distribute numbers outside parentheses then combine like terms.
In a survey of 92 pet owners, 11 said they own a dog, and 39 said they own a cat. 4 said they own both a
dog and a cat. How many owned a cat but not a dog?
Answer =
owners
Answers
Answer:
35 people
Step-by-step explanation:
Please help with this question I can’t seem to solve it
Answers
Answer:
X Y
0 0
2 -3
Step-by-step explanation:
The slope should look like this photo.
Identify the GCF of 6x^2y^2 − 8xy^2 + 10xy
Answers
Answer:
The GCF for the numerical part is 2
Step-by-step explanation:
6x^2y^2-8xy^2+10xy
It contains both numbers and variables, there are two steps to find the GCF(HCF).
1). Find the GCF for the numerical part 6, -8,10
2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3
3).Multiply the values together.
Find the common factors for the numerical part:
6,-8,10
Factors of 6
6: 1,2,3,6
Factors of -8
-8: -8,-4,-2,-1,1,2,4,8
Factors of 10
10:1,2,5,10
Common factors of 6,-8, 10 are 1,2
The GCF Numerical=2
The GCF Variable= xy^2
Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2
Is - 32/8 an integer?
Answers
Answer:
Step-by-step explanation:
yes, it is an integer because this fraction can be solved more and the result is (-4) which is a whole number.
Answer: No.
Step-by-step explanation:
No, it is not an integer because integers are whole numbers that are either positive or negative.