which number line represents the solution set for the inequality
3(8-4x) < 6(x-5) ?
Answers
Answer:
Second number line(from top to bottom).
Step-by-step explanation:
We are given the following inequality:
[tex]3(8 - 4x) < 6(x - 5)[/tex]
It is solved similarly to an equality, so:
[tex]24 - 12x < 6x - 30[/tex]
[tex]-18x < -54[/tex]
Multiplying by -1, the signal changes from < to >. So
[tex]18x > 54[/tex]
[tex]x > \frac{54}{18}[/tex]
[tex]x > 3[/tex]
Thus the correct answer is given by the second number line.
Related Questions
Find the volume of cone pictured below. Use 3.14 for π
.
Round your answer to the nearest hundredth.
Answers
Answer:
V≈718.38
Step-by-step explanation:
The volume of this cone is 718.38 cubic centimeters.
Have a nice day!
Match each vocabulary word or words to the correct image.
A) Después de lavar el pelo, el pelo está mojado
C С
B) Estar con mis amigos es agradable.
C) La cara está seca después de usar la toalla.
D)Es desagradable estar enferma
Answers
Find the degree measure of the indicated angle.
?
22
135°
Answers
Answer:
measure of the indicated angle
=180-(135+22)
=180-157
=23°
the first option is the answer
Answer:
23
Step-by-step explanation:
135+22 = 157
all angles add up to 180 degrees so
180-157 is 23
Suppose a random sample of size 50 is selected from a population with μ = 10. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate). Round your answers to two decimal places.
a. The population size is infinite.
b. The population size is N = 50,000.
c. The population size is N = 5000.
d. The population size is N = 500.
Answers
In the question, it's σ = 10 and not μ = 10.
Answer:
A) σ_x = 1.4142
B) σ_x = 1.4135
C) σ_x = 1.4073
D) σ_x = 1.343
Step-by-step explanation:
We are given;
n = 50
σ = 10
A) Formula for standard error of the mean for infinite size is;
σ_x = σ/√n
Thus;
σ_x = 10/√50
σ_x = 1.4142
B) When population is finite, we use correction factor and thus, we have;
σ_x = [√((N - n)/(N - 1)] × σ/√n
N = 50,000
Thus;
σ_x = [√((50000 - 50)/(50000 - 1)] × 10/√50
σ_x = 1.4135
C) N = 5000
Thus;
σ_x = [√((5000 - 50)/(5000 - 1)] × 10/√50
σ_x = 1.4073
D) N = 500
Thus;
σ_x = [√((500 - 50)/(500 - 1)] × 10/√50
σ_x = 1.343
arrange the decimal FRACTIONS to the smallest to the biggest
7.01
0.701
0.71
7.34
7.0101
71.01
7.034
Answers
Answer:
0.701, 0.71, 7.0101, 7.034, 7.01, 7.34, 71.01
Answer:
To smallest:
71.01, 7.34, 7.034, 7.0101, 7.01, 0.71, 0.701
To biggest:
0.701, 0.71, 7.01, 7.0101, 7.034, 7.34, 71.01
What is the equation of the circle?
Answers
What is the improper fraction of 20-7
Answers
Answer:
20/7 or 13
Step-by-step explanation:
Answer:
20/7 doesn't reduce, so it's 20/7
if you mean 20- 7 it's 13
the proper fraction would be 2 remainder 6, 2.6, 2 and 6/10, or 2 and 3/5 simplified.
What is the slope and equation, how much battery does she lose an hour
Answers
Answer:
The slope is y=-5x+100 and she loses 5% per hour
Step-by-step explanation:
hope it helps and can you pls give me brainliest im desperate
From her eye, which stands 1,61 meters above the ground, Savannah measures the
angle of elevation to the top of a prominent skyscraper to be 24°. If she is standing at
a horizontal distance of 340 meters from the base of the skyscraper, what is the
height of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary
Answers
Answer:
152.99 m
Step-by-step explanation:
Using the solution diagram attached below :
We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;
Tan θ = opposite / Adjacent
Tan 24 = h / 340
h = tan 24 * 340
h = 151.37775
Hence, the height will be (h + distance from eyelevel to ground)
151.37775 + 1.61
= 152.98775
= 152.99 m
Answer:
132.6 meters tall
Step-by-step explanation:
it gave me the answer
A health care organization, StarCare, wants to implement a program to increase use of diabetes care services. In the past StarCare has billed insurance companies $350 per group session on cardiac care, a similar service, and thus plans to bill $350 for the diabetes group sessions. Operational expenses for the diabetes care services will be $1,000. Because StarCare is concerned with quality of services, it plans to have a consistent group size of 20 participants. However, the number of group facilitators will vary based on the number of diabetes care group participants. For every participant, it costs StarCare $300 in facilitator salary and other expenses. StarCare will only do one session if it is profitable. Based on this information, what are the (a) fixed costs for the proposed diabetes care program and the (b) the total variable costs for 20 participants?
Answers
Answer:
a) The fixed cost is $1350.
b) Total variable cost is $6000.
Step-by-step explanation:
a) The fixed cost = Operational cost + Insurance company bill.
= $ 1000 + 350 = $1350.
b) Variable cost:-
The number of facilitators = 20.
The salary for each facilitator = $300.
Total variable cost = $300 x 20 = $6000.
Consider this quadratic equation. x2 + 1 = 2x – 3 Which expression correctly sets up the quadratic formula?
Answers
Maria has a job selling shoes, and earns a
6% commission on all sales made. How much in
commissions should Maria earn if $778.00 of
shoes are sold?
Answers
Answer:
Commission: $46.68
Step-by-step explanation:
https://www.commission-calculator.com/
By using this calculator, it shows you exactly the commission rate.
Help me if you don't know, don't touch it
Answers
9514 1404 393
Answer:
(a) 628 cm³
Step-by-step explanation:
Put the given numbers into the formula and do the arithmetic.
V = πr²h
V = (3.14)(5 cm)²(8 cm) = 628 cm³
A sandwich costs $4.20 and a fruit drink costs $1.80. There is a 8% tax. How much
change will you get from a $10 dollar bill after purchasing both the sandwich and drink
(and paying tax of course)?
A. $6.48
B. $3.52
C. $3.70
D. $3.90
Answers
Answer:
B. 3.52
Step-by-step explanation:
4.20+1.80=6.00
6.00 x .08 (8% tax)=.48 tax
6.00+ .48=6.48 total cost
10.00-6.48=3.52 change from a $10 bill
Find a solution to the linear equation −2x−2y=−12.
Answers
What is 1/8 * 1/8 in fraction? PLEASE HELP
Answers
Answer:
1/64
Step-by-step explanation:
See image below:)
Solve rational equations 5/6+3/b=1/3
Answers
B = -6
Substitute the value of the variable and then simplify
Answers
Answer:
y=2*(4)^2-3
y=2*16-3
y=32-3
y=29
Step-by-step explanation:
Helppp me please I need to graduate
Answers
(5x³-7)(2x²+1)
OPTION D is the correct answer
Which of the following are true of linear functions? Select all that apply.
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function can cross the y-axis in two places.
A linear function has a constant rate of change.
A linear function must cross the x-axis.
Answers
Answer:
"there is exactly one output for each input" is cotrrect
"the graph of a linear function" is correct
Step-by-step explanation:
The fill volume of an automated filling machine used for filling cans of carbonated beverage is normally distributed. Suppose, that the mean of the filling operation can be adjusted easily, but the standard deviation remains at 0.4 fluid ounce. (a) At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces
Answers
Answer: At a value of 12.3 the mean should be set so that 99.9% of all cans exceed 12 fluid ounces.
Step-by-step explanation:
Let us assume that X is a normal rando variable with a mean value [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex].
Hence, random variable Z will be introduced as follows.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
(a) Set the value [tex]\sigma = 0.1[/tex] and the equation will be written down as follows.
[tex]0.999 = P (X \geq 12) \\= P (Z \geq \frac{12 - \mu}{0.1})\\= 1 -\phi (\frac{12 - \mu}{0.1})\\\phi (\frac{12 - \mu}{0.1}) = 0.001[/tex]
According to the tables,
[tex]\frac{12 - \mu}{0.1} = -3\\\mu = 12.3[/tex]
Thus, we can conclude that at a value of 12.3 the mean should be set so that 99.9% of all cans exceed 12 fluid ounces.
Explain why the sum of the interior angles in a regular pentagon is 540?
Answers
Answer:
Step-by-step explanation:
formula to find the sum of interior angle of a regular pentagon is
(n-2)*180 degree
here n means no of sides .since pentagon has 5 sides replace it by 5
=(5-2)*180
=3*180
=540 degree
A robot is on the surface of Mars. The angle of depression from a camera in the robot to a rock on the surface of Mars is 14.12. The camera is 190.0 cm above the
surface. How far is the camera from the rock?
The camera is cm from the rock
Round to the nearest tenth as needed.)
Answers
Answer:
778.1 cm
Step-by-step explanation:
The solution triangle attached below :
Using trigonometry :
θ = 90 - 14.12 = 75.88°
Cos θ = Adjacent / hypotenus
Cos 75.88 = 190 / d
d = 190 / cos 75.88
d = 778.83
Rock is 778.8 cm from the camera
Two pools are being drained. To start, the first pool had 3650 liters of water and the second pool had 4166 liters of water. Water is being drained from the first pool at a rate of 27 liters per minute. Water is being drained from the second pool at a rate of 39 liters per minute. Let be the number of minutes water has been drained. (a) For each pool, write an expression for the amount of water in the pool after minutes. (b) Write an equation to show when the two pools would have the same amount of water.
Answers
Step-by-step explanation:
(a) Let's start with the first pool. It has 3650 liters of water. For every minute, 27 liters are being drained. Thus, we can write its equation as 3650 liters - 27 liters per minute = end amount of liters. If we write minutes as m, we can say 3650-27m is our expression. Similarly, for the second one, we have 4166-39m as our answer
(b) For this, we just have to make the two expressions equal, so
4166-39m = 3650-27m
The solution is:
(a)
Amount of water in the first pool (in liters) = 3650 liters - 27 liters per minute * x minutes
Amount of water in the second pool (in liters) = 4166 liters - 39 liters per minute * x minutes
(b)
3650 liters - 27 liters per minute * x minutes= 4166 liters - 39 liters per minute * x minutes
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, we have,
(a) With x being the minutes after which you want to calculate the amount of water in the pool, to calculate this amount of water you must subtract the water drained from the initial amount of water that the pool contains.
Knowing that, for example, the water from the first pool drains at a rate of 27 liters per minute, then after x minutes, the total water drained will be 27 liters per minute * x minutes. Then:
Amount of water in the first pool (in liters) = 3650 liters - 27 liters per minute * x minutes
Reasoning in the same way:
Amount of water in the second pool (in liters) = 4166 liters - 39 liters per minute * x minutes
(b) Now want to know when the two pools would have the same amount of water. If they have the same amount of water then you can express:
Amount of water in the first pool = Amount of water in the second pool
Replacing the expressions found in (a):
3650 liters - 27 liters per minute * x minutes= 4166 liters - 39 liters per minute * x minutes
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
Solve for y.
O 10
O 12
O 15
O 18
Answers
Answer:
first option
Step-by-step explanation:
3x = 90 degree (being perpendicular)
x = 90/3
x = 30 degree
substitute the value of x
2x + 3y = 90 degree (being perpendicualr)
2*30 + 3y = 90
60 + 3y = 90
3y = 90 - 60
y = 30/3
y = 10 degree
Answer:
that's easy its letter a number 10
Two dice are thrown together. Use a tree diagram to find the probability that both numbers are less than 5
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
2 dice = 12 numbers
1, 2, 3, 4 and 1, 2, 3, 4 are less than five.
This is a total of 8 numbers.
[tex]\frac{8}{12} =\frac{8/4}{12/4}=\frac{2}{3}[/tex]
The probability that both numbers are less than 5 on throwing 2 dices is given by P ( A ) = 4/9 = 44.44 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that both numbers are less than 5 on throwing 2 dices be represented as P ( A )
Now , the total number of outcomes for throwing 2 dices = 36 outcomes
And , out of these 36 possible outcomes, there are 16 outcomes where both numbers are less than 5
{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3),
(3,1), (3,2), (3,3), (4,1), (4,2), (4,3),
(1,4), (2,4), (3,4), (4,4)}
So , the number of possible outcomes = 16
And , probability P ( A ) = 16/36
P ( A ) = 4/9
Hence , the probability is 4/9
To learn more about probability click :
https://brainly.com/question/17089724
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What is the value of 2 - 1.25 as a fraction?
Answers
Answer:
3/4
Step-by-step explanation:
2 - 1.25 - 0.75
0.75 = 3/4
Your answer is 3/4.
I hope this helps, have a nice day.
Answer:
[tex] \frac{3}{4} [/tex]Step-by-step explanation:
[tex]2 - 1.25[/tex]
[tex]0.75[/tex]
[tex]0 \frac{75}{100} [/tex][tex] \frac{75}{100} [/tex][tex] \frac{25(3)}{25(4)} [/tex][tex] \frac{25 \times 3}{25 \times 4} [/tex][tex] \frac{3}{4} [/tex]Hope it is helpful...In an experiment, the population of bacteria is increasing
at the rate of 100% every minute. The population is
currently at 50 million.
How much was the population of bacteria 1 minute
ago?
million
Answers
25 million
number of bacteria doubles every minute
Factor 24m - 12p + 72 to identify the equivalent expressions.
CHOOSE TWO ANSWERS!!!
A.6(4m+2p+12)
B.2(12m-6p+36)
C.12(2m-p+6)
D.24(m-12p+3)
Answers
Answer:
B and C
Step-by-step explanation:
If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)
If you take the greatest common factor then it could be factored to 12(2m-p+6)
The measure of an angle ABC is 50°,AD bisects angle BAC, and DC bisects angle BCA. The measure of angle ADC is what?
Answers
9514 1404 393
Answer:
115°
Step-by-step explanation:
Let A, B, C represent the vertex angle measures of ΔABC. Then the sum of angles in ΔADC is ...
A/2 +∠ADC + C/2 = 180°
Multiplying by 2 gives ...
A + C + 2×∠ADC = 360°
From the given information, we know ...
A + C + 50° = 180° . . . . . sum of angles in ΔABC
This lets us write an expression for (A +C):
A + C = 130° . . . . . . . . subtract 50° from the previous equation
Substituting for A+C, we get ...
130° + 2×∠ADC = 360°
2×∠ADC = 230° . . . . . . . . . subtract 130°
∠ADC = 115° . . . . . . . . . . . divide by 2
