Answer:
{6, 11, 15}
Step-by-step explanation:
Given the inequality expression 3x-7≥11
Add 7 to both sides
3x-7+7≥11+7
3x ≥ 18
Divide both sides by 3
3x/3 ≥ 18/3
x≥6
Hence the solution to the inequality are the values of x greater than or equal to 6. Hence the required solutions are {6, 11, 15}
A minor league baseball 112 games in a session. If the team won 16 more than 3 times as many games as they lost, how many wins and losses do they have
Answer:
Won = 88 gamesLost = 24 gamesStep-by-step explanation:
The number of games for the session is 112 so all the wins and losses should add up to 112.
Assume that the number of times they lost is x. The number of times they won would then be: 16 + 3x
Total expression is therefore:
16 + 3x + x = 112
16 + 4x = 112
4x = 112 - 16
x = 96/4
x = 24
They lost 24 games. Number of games won is:
= 112 - 24
= 88 games
In a right triangle, angle θ has a cosine value of 0.755. The side adjacent to angle θ has a length of 51.5 mm. What is the length of the hypotenuse of the triangle?
68.2 mm
38.9 mm
92.5 mm
41.0 mm
Answer:
I got that it was 68.2mm.
Step-by-step explanation:
Option A is correct, the length of the hypotenuse of the triangle is 68.2 mm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. That is:
cos(θ) = adjacent/hypotenuse
We know that cos(θ) = 0.755 and the length of the adjacent side is 51.5 mm.
Let's denote the length of the hypotenuse by "h".
Then we can solve for "h" as follows:
cos(θ) = adjacent/hypotenuse
0.755 = 51.5/h
h = 51.5/0.755
h = 68.21 mm
Therefore, the length of the hypotenuse of the triangle is approximately 68.2 mm.
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Your carry-on bag can weigh at most 40 pounds.Select an inequality that represents how much more weight x (in pounds) you can add to the bag and seal meet the requirement. Then solve the inequality.
Answer:
22 + x ≤ 40
x ≤ 18 pounds
Step-by-step explanation:
Maximum weight = 40 pounds
Initial weight = 22 pounds
Let Maximum weight that can be added = x
Mathematically, this means :
Initial weight + additional weight ≤ 40
That is ;
22 + x ≤ 40
Additional weight, x :
x ≤ 40 - 22
x ≤ 18 pounds
AreA of a circle pls help
Answer:
28.26[tex]in^{2}[/tex]
Step-by-step explanation:
Given,
Radius of the circle = 3in.
Area = ?
They have told us to use 3.14 for [tex]\pi[/tex]
Area formula = [tex]\pi r^{2}[/tex]
=> 3.14 * 3 * 3
=> 3.14 * 9
=> 28.26[tex]in^{2}[/tex]
Therefore the area of the circle is 28.26[tex]in^{2}[/tex]
Hope it helps :)
Answer:
28.26
Step-by-step explanation:
You want to plug everything in to the equation that you can. It says that pi=3.14, and the radius (aka r) is equal to 3. Therefore when plugging everything in, the equation reads (3.14)(3)^. ^ means squared, its the tiny 2 above the r. when something is squared it means you multiply it by itself 2 times. therefore 3 squared = 3 x 3= 9. After finding out 3^=9, the equation reads (3.14)(9). Now all you have to do is multiply the 2 together which results in 28.26.
2x + 19 and x + 23 are alternate exterior angles. What is the value of x? *
A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.
How to solve a linear equation
If two angles are alternate exterior, then both angles have the same measure. Thus, we have the following expression:
2 · x + 19 = x + 23 (1)
Now we proceed to solve for x:
x = 4
A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.
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If the diameter of a circle is 20 cm, what is the area? 10π cm2 20π cm2 50π cm2 100π cm2
Answer:
Half of 20 is 10(new radius)
10^2(radius being squared) = 100
Next step is to multiply by pi
100π cm2
Step-by-step explanation:
Formula of area of a circle:
πr^2
pi x radius squared
How do you write 4.789x10^7 in standard form?
Answer: 47890000
Step-by-step explanation:
4.789*10^7=4789*10^4=4789000
Answer:
47,890,000
Step-by-step explanation:
PLSSS HELP MEEE I WILL GIVE BRAINLIEST
Answer: A
Step-by-step explanation:
please help!! i need 15 & 17!
Answer:
15. Answer: length = 15 ft; width = 3 ft
16. Answer: base = 14 cm; height = 5 cm
17. Answer: x² - 5x - 24 = 0
Step-by-step explanation:
15.
area of rectangle = length * width
length = x - 2
width = x - 14
area = (x - 2) (x - 14)
We are shown the area to be 45 ft².
We set the expression of the area equal to the given area and solve the quadratic equation for x.
(x - 2)(x - 14) = 45
x² - 14x - 2x + 28 - 45 = 0
x² - 16x - 17 = 0
(x - 17)(x + 1) = 0
x - 17 = 0 or x + 1 = 0
x = 17 or x = -1
We discard the negative answer, x = -1, since it would give negative length and width.
x = 17
length = x - 2 = 17 - 2 = 15
width = x - 14 = 17 - 14 = 3
Answer: length = 15 ft; width = 3 ft
16.
area = ½bh
area = ½(x - 5)(x - 14)
area = 35
½(x - 5)(x - 14) = 35
(x - 5)(x - 14) = 70
x² - 14x - 5x + 70 = 70
x² - 19x = 0
x(x - 19) = 0
x = 0 or x - 19 = 0
We discard x = 0 since it would give negative dimensions.
x = 19
base = x - 5 = 19 - 5 = 14
height = x - 14 = 19 - 14 = 5
base = 14
height = 5
Answer: base = 14 cm; height = 5 cm
17.
A polynomial with solutions x = a and x = b can be found by multiplying (x - a) by (x - b). Here, the solutions are x = -3 and x = 8.
[x - (-3)](x - 8) = (x + 3)(x - 8) = x² - 8x + 3x - 24 = x² - 5x - 24
Answer: x² - 5x - 24 = 0
A circular sheet was cut to make cone without a base of slant height equal to 7 m. If the net of the cone has a perimeter of 47 m, what percentage of the circular sheet of paper was used to make the cone?
a. 80%
b. 25%
c. 75%
d. 60%
Answer:
75%
Step-by-step explanation:
Please help im confused on the last question on my warm up!
Answer:
Choice B: Only (-1,-5)
Step-by-step explanation:
With this one, first the equation needs to be reduced into point-slope format.
y+5=2(x+1)
Distributive Prop.
y+5=2x+2
Carry over the 5 to the opposite side.
y=2x-3
Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.
Choice A: X is 5; Y is 10
y=2x-3
y=2(5)-3
y=10-3
y=7
This does not give a y value of 10, so it is false.
Choice B: X is -1; Y is -5
y=2(x)-3
y=2(-1)-3
y= -2-3
y= -5
This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.
There are 2 red, 3 blue, and 4 green marbles in a jar?
What does the ratio 4 to 9 represent?
Hello!
How many marbles are in the jar all together?
3 + 2 + 4 = 9
We also know that there are 4 green marbles in the job.
So, I would assume that the answer is;
Green Marbles : Total Marbles or Green Marbles to Total Marbles.
waffletowne
whats the quadratic curve of best fit for the data. estimate what the value of will be when = −4.
(−3,2), (0,5), (1,7.3), (−1,3.3), (−6,5), (−7,7.3)
Answer:
64 is 4 times the difference between Sarah's age, a, and 44Assume Sarah is older than 44
Step-by-step explanation:
The Cohens found 8 pairs of shorts with the following prices:
$10, $11, $11, $16, $16, $17, $18, $38
Which statements about the prices are true? Select all that apply.
A. The Median is $16
B. The range of the prices is $28.
C. The interquartile range is between $6 and $7
D. If the price that is the farthest from the mean is removed, The median will change.
E.If the price that is farthest from the mean is removed, the mean will become larger.
PLEASE EXPLAIN THIS ALSO, DO NOT PUT ANY LINKS EITHER, LINKS WILL BE REPORTED.
Answer:
A. B. and C.
(and hi again)
Triangle ABC has coordinates A(0, 1), B(0, 2), and C(3, 2). If ΔABC ≅ ΔEDF, what is the measure of DF?
Answer:
I think the answer is option 2
3 is the correct choice
Which expression is equivalent to?
-4(x + 2)-1/2(2x-6)
Answer:
-5x - 5
Step-by-step explanation:
distribute both -4 and -1/2
it should look like this...
-4x - 8 - x + 3 now add the like terms
-5x - 5
Final answer: -5x - 5
PLEASE HELP ASAP IM TAKING YHE IREADY TEST RN ... and I have more question so please help me answer them
How is this poem different from "you go to my head"? "You go to my head" is broken into stanzas, and each stanza helps to _________ of how music influenced Billie holiday, "free verse" has many rhyming words and repeated sounds, as in the phrase "chop and chew". These elements give the poem a ____ feeling.
Answer:
see the pic below.
Each stanza helps us to narrate the story of how music influenced Billie Holiday.
The meaning of a poem?The meaning and the message a poem passes can be deduced from the tone in which the poet uses in writing the poem.
From the Poem "You go to my head";
Each Stanza was written as a narration of the poet mood and how he wishes his mood can take him to Baltimore Best Talent at Harlem's Theater.
However, In the present poem given, the rhythmic words and repeated sounds used in each stanza is an element that gives the poem a carefree feeling.
Learn more about the meaning of a poem here:
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1/). Help ASAP Find the area of each circle to the nearest tenth
Answer:
153.9
Step-by-step explanation:
Describe the event as impossible, unlikely, equally likely, likely, or certain.
Chesley McNeil, local meteorologist, said there is a 75% chance of rain today. The probability of rain is
first to answer gets brainlyest
Answer:
likely
Step-by-step explanation:
100% is certain, likely is around 75%, equally is around 50%, and unlikely is around 25%
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
Chesley McNeil, local meteorologist, said there is a 75% chance of rain today. The probability of rain is
[tex]\sf{\dfrac{75}{100} }[/tex] [tex]\sf{\dfrac{3}{4} }[/tex]The probability of rain is 3/4
Solve 5x Divide 6 = 20.
The solution is x =____?
Answer:
69
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
[tex]\frac{5x}{6} = 20\\5x = 120\\x = 24[/tex]
What is the slope of the line that passes through (-2, 3) and (2, 11)
Answer:
2
Step-by-step explanation:
y2-y1/x2-x1
11-3/2-(-2)
8/4
2
Edward took a survey of his classmates to see how many pets each student has. The dot plot shows the results of his survey ll. 0 1 2 3 4 Number of Pets Part A How many people did Edward survey? Part B What is the mean number of pets?
Answer:
i. 5 people
ii. Mean number of pets = 2
Step-by-step explanation:
i. From the information given in the question, the number of people surveyed by Edward is 5.
The first person has no pet, the second has 1 pet, the third has 2 pets, the fourth has 3 pets and the fifth has 4 pets.
ii. The mean number of pets is the average number of pets among the people.
The mean number of pets = [tex]\frac{sum of the number of pets}{number of people}[/tex]
= [tex]\frac{0 + 1 + 2 + 3 + 4}{5}[/tex]
= [tex]\frac{10}{5}[/tex]
mean number of pets = 2
The mean number of pets is 2.
Which situation is best represented by the equation y = 5x + 10?
Answer:
i will say its A
Step-by-step explanation:
The Slow Ball Challenge or The Fast Ball Challenge.
The Slow Ball Challenge: There will be 7 pitches, each at 60 mph. Diego estimates
that he will hit each individual pitch 80% of the time. If Diego can hit all 7 pitches, he
will win a total of $60; otherwise he will lose $10.
The Fast Ball Challenge: There will be 3 pitches, each at 90 mph. Diego estimates
that he will hit each individual pitch 70% of the time. If Diego can hit all 3 pitches, he
will win a total of $60; otherwise he will lose $10.
Which challenge should he choose?
Fast: 4.68
Slow: 4.68
Fast: 14.01
Slow: 14.01
G
Answer:
Fast ball challenge
Step-by-step explanation:
Given
Slow Ball Challenge
[tex]Pitches = 7[/tex]
[tex]P(Hit) = 80\%[/tex]
[tex]Win = \$60[/tex]
[tex]Lost = \$10[/tex]
Fast Ball Challenge
[tex]Pitches = 3[/tex]
[tex]P(Hit) = 70\%[/tex]
[tex]Win = \$60[/tex]
[tex]Lost = \$10[/tex]
Required
Which should he choose?
To do this, we simply calculate the expected earnings of both.
Considering the slow ball challenge
First, we calculate the binomial probability that he hits all 7 pitches
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
Where
[tex]n = 7[/tex] --- pitches
[tex]x = 7[/tex] --- all hits
[tex]p = 80\% = 0.80[/tex] --- probability of hit
So, we have:
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
[tex]P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}[/tex]
[tex]P(7) =1 * 0.80^7 * (1 - 0.80)^0[/tex]
[tex]P(7) =1 * 0.80^7 * 0.20^0[/tex]
Using a calculator:
[tex]P(7) =0.2097152[/tex] --- This is the probability that he wins
i.e.
[tex]P(Win) =0.2097152[/tex]
The probability that he lose is:
[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule
[tex]P(Lose) = 1 -0.2097152[/tex]
[tex]P(Lose) = 0.7902848[/tex]
The expected value is then calculated as:
[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]
[tex]Expected = 0.2097152 * \$60 + 0.7902848 * \$10[/tex]
Using a calculator, we have:
[tex]Expected = \$20.48576[/tex]
Considering the fast ball challenge
First, we calculate the binomial probability that he hits all 3 pitches
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
Where
[tex]n = 3[/tex] --- pitches
[tex]x = 3[/tex] --- all hits
[tex]p = 70\% = 0.70[/tex] --- probability of hit
So, we have:
[tex]P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}[/tex]
[tex]P(3) =1 * 0.70^3 * (1 - 0.70)^0[/tex]
[tex]P(3) =1 * 0.70^3 * 0.30^0[/tex]
Using a calculator:
[tex]P(3) =0.343[/tex] --- This is the probability that he wins
i.e.
[tex]P(Win) =0.343[/tex]
The probability that he lose is:
[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule
[tex]P(Lose) = 1 - 0.343[/tex]
[tex]P(Lose) = 0.657[/tex]
The expected value is then calculated as:
[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]
[tex]Expected = 0.343 * \$60 + 0.657 * \$10[/tex]
Using a calculator, we have:
[tex]Expected = \$27.15[/tex]
So, we have:
[tex]Expected = \$20.48576[/tex] -- Slow ball
[tex]Expected = \$27.15[/tex] --- Fast ball
The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.
there is a lot of poins pleas help meee
Answer:
46mi
Step-by-step explanation:
Its right. Sorry need the points.
What is the volume of this cube?
Show your work.
no bots
Answer: 125,000
Step-by-step explanation:
Voulme= LxWxH
= 50x 50x50
=125,000
Helpppppppppp please....
Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale.
Height is 11m and radius is 1.9m
A. 75.449pi m3
B. 49.02pi m3
C. 41.8pi m3
D. 39.71pi m3
Answer:
D
Step-by-step explanation:
givens
r = 1.9 m
h = 11 m
Equation
V = pi * r^2 * h
Solution
V = pi * 1.9^2 * 11
V = pi * 3.61 * 11
V = pi * 39.71
V = 39.71 pi
8. A car dealer buys a luxury car for $45,800, and sells it for $61,830. Find the percent of change.
A. 35%
B. 26%
C. -35%
D. -40%
What is 7.936 rounded to the hundredths place
Answer:
7.94 is your answer
Step-by-step explanation:
......