Answer:
y=58°
x=122°
Step-by-step explanation:
y=58°[°•°being corresponding angles]
Now,
x+y=180[°•°co-interior angles]
or, x=180-58
•°•x=122
48 is exactly divisible by
Answer:
2, 3, 4, 6, 8, 12, 16, 24, 48.
Step-by-step explanation:
Factors of 48 is 2, 3, 4, 6, 8, 12, 16, 24, 48.
48 is exactly divisible by factors of 48.
The number -8 lies to the right of ___________ on the number line.
8
0
-6
-12
Answer:
-6
Step-by-step explanation:
-123456789101112131415
1234+1234567912345678901342=?
12345678912345678902576
Sarah is going from home to school then to the library to study and finally to the part to meet with friends before going home. Find the distance Sarah will travel today based on the locations of each stop on the coordinate plane. Include:
Distances between all 4 locations
Total distance
The method used for each calculation
Sarah’s house (2,-5)
The school (2,4)
Library (-3,4)
Park (-3,-5)
Answer:
i) The distance between Sarah's house and the school is 9
ii) The distance between the school and the library is 5
iii) The distance between the library and the park is 9
iv) The distance between the park and Sarah's house is 5
2) The total distance Sarah travels is 28
Step-by-step explanation:
The given coordinates of the locations are;
Sarah's house (2, -5)
The school (2, 4)
Library (-3, 4)
Park (-3, -5)
Sarah's journey is; From the house → The school → Library → Park → House
The distance, d, between two coordinate points, (x₁, y₁) and (x₂, y₂) is given as follows;
d = [tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
i) Therefore, the distance between Sarah's house ((x₁, y₁) = (2, -5)) and the school ((x₂, y₂) = (2, 4)), d₁, is d₁ = √((2 - 2)² + (4 - (-5))²) = 9
Sarah's house → The school = 9
ii) The distance between the school ((x₁, y₁) = (2, 4)), and the library, ((x₂, y₂) = (-3, 4)), d₂ = √((-3 - 2)² + (4 - 4)²) = 5
The school → Library = 5
iii) The distance between the library ((x₁, y₁) = (-3, 4)), and the park ((x₂, y₂) = (-3, -5)), d₃ = √((-3 - (-3))² + (-5 - 4)²) = 9
The library → The park = 9
iv) The distance between the park ((x₁, y₁) = (-3, -5)), and Sarah's house ((x₂, y₂) = (2, -5)), d₃ = √((2 - (-3))² + (-5 - (-5))²) = 5
The park → Sarah's house → 5
2) The total distance = 9 + 5 + 9 + 5 = 28.
If there are 3000 people in a room, what is the probability they have watched a video with 80k views?
Answer:
The answer is 26.667 ..
Step-by-step explanation:
80k/3000
How is the solution set of the sentence below described? X + 5 < 7
A. {All numbers less than 7/5}
B. {All numbers less than 2}
C. {All numbers less than 7}
D. {All numbers less than 12}
E. None of these
Answer:
B. {All numbers less than 2}
Step-by-step explanation:
X + 5 < 7
Subtract 5 from each side
X + 5-5 < 7-5
x<2
All numbers less than 2
find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)
Answer:
4!
Step-by-step explanation:
In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.
So, we have to put vowels at each even position; only then the condition will be satisfied.
We can put this in 3! ways (permutations of A, I & U).
For odd positions we can put 3-M's & a X. Total ways is 4!/3! (as repetitions of M).
Hence, the answer is 4!/3! x 3! = 24 ways.
24=4!.
PLEASE HELP!!! Bring the fraction:
b/7a^2c to a denominator of 35a^3c^3
a/a-4 to a denominator of 16-a^2
I think this should be the answer
The average movie ticket price in dollars since 1980 can be modeled by 0.142x + 1.93 where x is the number of years since 1980. What values of x would you use to find the average movie ticket price in 1985, 1999, and 2010? Find the ticket prices for each of those years rounded to the nearest cent. Submit your x-values, ticket prices, and all solution steps to earn full credit.
Answer:
Step-by-step explanation:
1985:
x = 5 years ( 1980 to 1985- 5 years)
0.142x + 1.93 = 0.142*5 + 1.93
= 0.71 + 1.93
= $ 2.64
1999:
x = 19 years
0.142x + 1.93 = 0.142*19+ 1.93
= 2.698 + 1.93
=4.628 = $ 4.63
2010:
x = 30 years
0.142x + 1.93 = 0.142*30 + 1.93
= 4.26 + 1.93
= $ 6.19
Find the attached question.
p=70°
q=32°
r=38°
Answer:
Solution given:
r=38°[inscribed angle on a same arc are equal]
p=½*140°=70°[inscribed angle is half of the central angle]
<OBA=38°[base angle of isosceles triangle]
again
<C=<B[inscribed angle is half of the central angle]
70°=<OBA+q
70°=38°+q
q=70°-38°
q=32°
Select all that apply Which of the following are characteristics of frequency tables? Multiple select question. They can be used for qualitative data. They can be used for quantitative data. No observation can fit into more than one class. The percentage of observations in each class is provided.
Answer:
They can be used for quantitative dataThey can be used for qualitative data.No observation can fit into more than one classStep-by-step explanation:
The frequency table refers to the number of times the event occurs and lists the items shown by value and thus is quantitative and qualitative such as graphs and numerical summary.The following are characteristics of frequency tables:
They can be used for qualitative dataThey can be used for quantitative data.No observation can fit into more than one classA frequency is the number of times a particular event, category or value occurs. A Frequency table is a grouping or table that lists qualitative data into classes showing the number of observations or occurrence of items or data in each class.
organize raw data into the readable datadisplays the frequency of various outcomes of the sample.count of occurrences of that outcome used for qualitative as well as quantitative data.Thus, the correct answer is -
They can be used for qualitative dataThey can be used for quantitative data.No observation can fit into more than one classLearn more about frequency distribution:
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45 girls and 30 boys ratio in the lowest terms
Answer:
3:2
Step-by-step explanation:
45, 30
both divisible by 15, so:
3 : 2
bc :
3*15 = 45
2*15 = 30
Answer: 2/3
Step-by-step explanation: 30÷5; 45÷5= 6/9=2/3
pls help 10 points each 2 question due in 30 mins
Answer: 108cm%2F%222+cm%22=54 .
Then you would add more rows like that for a total of
72cm%2F%222+cm%22=36 rows.
Step-by-step explanation:
many 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping.
It is possible because 72 and 108 are both divisible by 2.
You can start by lining up in row 54 such 2cm by 2cm squares along with one of the 108cm long sides,
Really hope this helped couldnt really see it
Laura is taking her family to an ice show. Each ticket costs $15, and programs
cost $6 each. She has $97. She buys 5 tickets and wants to figure out the
greatest number of programs she can buy.
If x = number of tickets and y= number of programs, which of the following
inequalities could you use to find the answer to the problem?
A. X+ y = 97
B. 15 + 6y s 97
C. 15x + 6ys 97
D. 15x + 6y2 97
Answer:
Im not sure what the answer choices are supposed to be but i think it's out of C or D.
Step-by-step explanation:
Question 3(Multiple Choice Worth 5 points)
(01.01 LC)
What is the decimal equivalent of 3/9
02
0.3
04
0,5
Answer:
0.3
Step-by-step explanation:
just divide on a calculator 3/9 and u get 0.3
what is rounding used to?
Answer:
rounding is used to make long/rough calculations cleaner or easier
Step-by-step explanation:
Answer:
Rounding is used in instances where you can only have a limited number of digits or You must round to the nearest digit.
Step-by-step explanation:
For example lets say i have the problem 12.5 + 4 + 3.2.
I am told to round up to the nearest whole number.
After adding all the numbers up, I find I have 19.7 since the tenths place is a 7, I would round up leaving my final answer as 20.
Which numbers belong to the solution set of the inequality?
X+ 9 < 78
A. 70, 72, 74, 80
B. 44, 50, 54, 68
C. 50, 62, 66, 71
D. 87, 89, 92,95
Answer: B
Step-by-step explanation:
x+9<78 => x< 78-9=> x< 69 => b right
Answer:
B.44,50,54,68
Step-by-step explanation:
40+9<78
50+9<78
54+9<78
68+9<78
A side of the triangle below has been extended to form an exterior angle of 148°. Find the value of x
Answer: 32
Step-by-step explanation:
total= 180
180-148=32
write an example of a monomial of degrees 5
Answer:
find the value of:Cos = 0.54
Arturo's goal is to find a job that provides an income of at least $60,000 a year. Kristen's Furniture offers him a job paying a base salary of $14,000 a year, plus a commission of 7% of his sales. Determine what Arturo's total sales will need to be for him to have a yearly income greater than or equal to $60,000.
If Arturo takes the job with Kristen's Furniture, he will need to have at least
$
in total sales to have a yearly income greater than or equal to $60,000 per year.
Answer:
He will need at least 657,142.86
Step-by-step explanation:
Determine how much commission he needs
60000-14000
46000
Commission is 7%
Let x be the sales
x*7% = 46000
x*.07 = 46000
Divide each side by .07
x = 46000/.07
x =657142.85714
Rounding to the nearest cent
x = 657,142.86
Given that x= –1/2 and y = 4 , evaluate 3x²y + xy²
Answer:
-5
Step-by-step explanation:
3x²y + xy²
Let x = -1/2 and y = 4
3(-1/2)^2 (4) + (-1/2) (4)^2
Exponents first
3(1/4) (4) + (-1/2) 16
Multiply
3 - 8
Subtract
-5
Answer: [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\huge \boldsymbol {-5}[/tex]
Step-by-step explanation: simplify it [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} 3x^2y+xy^2=xy(3x+y)[/tex] evalute [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} -\frac{1}{2} \cdot 4 (-3\cdot \frac{1}{2}+4)=-2\!\!\!\!\diagup\cdot\frac{5}{2\!\!\!\!\diagup} =\boxed{-5}[/tex]
the numbers written in rectangles are the products of the numbers in connecting circle. Please solve it fast its urgent
Answer:
It is the third one
Step-by-step explanation:
c
Find the measure of 2
Answer:
92
Step-by-step explanation:
Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel
Answer:
[tex]\angle 2=92^{\circ}[/tex]
Step-by-step explanation:
When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.
In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:
[tex]\angle 2=\boxed{92^{\circ}}[/tex]
25. A pizza shop offers 30% off the price of a large pizza every Tuesday
night. If the regular price is $25, what is the discounted price?
Answer:
25 -(.3*25)
25-7.50 = $17.50
Step-by-step explanation:
Answer:
17.50
Step-by-step explanation:
First find the amount of the discount
25 * 30%
25 * .3
7.5
Subtract this from the original amount
25 - 7.5
17.50
A runner covers the last straight stretch of a race in 3 s. During that time, he speeds up from 5 m/s to 11 m/s.What is the runner's acceleration in this part of the race?
Answer:
From first Newton's equation of motion:
[tex]{ \bf{v = u + at}}[/tex]
Substitute the variables:
[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]
Acceleration is 2 ms-²
The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.
What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?
$60
$80
$90
$100
Answer:
80
Step-by-step explanation:
I = Prt
I = 40 R = .10 T = 5
40 = P (.10)(5)
40 = P(.5)
Divide each side by .5
40/.5 = .5P/.5
80 = P
The interest over 5 years is $80.
The correct option is B.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The Formula to calculate the simple interest is;
S.I. = P x T x R / 100,
Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.
We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:
40 = P(0.10)(5)
Simplifying:
40 = 0.5P
Dividing both sides by 0.5:
P = 80
Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.
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Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)
Answer:
y = -2x - 6
Step-by-step explanation:
Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise'). Thus, the slope of the line through these two points is m = rise/run = 16/(-8) = -2.
Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:
y + 8 = -2(x - 1), or
y = -8 - 2x + 2, or
y = -2x - 6 (in slope-intercept form)
If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong
Answer:
The probability is [tex]\frac{3}{4^7}[/tex].
Step-by-step explanation:
Total questions = 7
Number of choices of each question = 4
Probability to give the correct answer = 1/4
Probability to give the wrong answer = 3/4
Probability to give 1 answer wrong
[tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}[/tex]
simplify -8/2 ÷ 6/-3
Answer: the answer is 2 or C
-8/2 x -3/6
*Always do the recipical*
(-8 x -3) / (2 x 6)
-8 x -3= +24
2 x 6= 12
24/12= 2
The solution of the given expression -8/2 x -3/6 is 2. The correct option is B.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that the expression is,
-8/2 x -3/6
The expression will be solved as below,
E = (-8 x -3) / (2 x 6)
The numerator will get reciprocal and multiplied to the denominator,
E = 24 / 12
Divide the number 24 by 12 and get the solution,
E = 2
Therefore, the solution of the expression will be 2. The correct option is B.
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Please help me answer this question
Answer:
a, 14.13. b, 39.25
Step-by-step explanation:
so for a the diameter is 6 so the radius is 3. The equation for the area of the circle is πr2. So 3x3=9. then 9x3.14=28.26. But then we have to divide by two cause we are finding only the shaded area. 28.26/2=14.13.
A is 14.13
for b, its the same thing, so the radiu is 5 and 5x5=25. 25x3.14=78.5, and divide two, so 78.5/2=39.25.
B is 39.25
WARNING: I am not sure this is correct, so if this is wrong i'm sorry, i'm learning too :)
