the 4 is in the tens place and the 3 is in the ones place
Hope this helps
Annette has 3 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph , how long should she plan to spend walking back?
Answer:
Annette should plan to spend 2.25 hours walking back.
Step-by-step explanation:
To solve this problem, we can use the formula:
Time = Distance / Speed
Let's assume the distance of the race is D miles.
Annette spends her time running the distance of the race, which takes:
Time running = D / 9 hours
She then walks back the same distance, which we need to find the time for:
Time walking = D / 3 hours
Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:
D / 9 + D / 3 = 3
To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:
D + 3D = 27
Combining like terms:
4D = 27
Dividing both sides of the equation by 4:
D = 6.75
So, the distance of the race is 6.75 miles.
To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:
Time walking = D / 3 = 6.75 / 3 = 2.25 hours
Therefore, Annette should plan to spend 2.25 hours walking back.
show that a) cos3∅=cos²∅-3cos∅sin²∅
The correct proof of the equation is cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
Solving trigonometry identity
Given the trigonometry identity below:
cos3∅=cos²∅-3cos∅sin²∅
We are to prove that both sides of the equation are equal.
cos 3θ = cos(2θ + θ)
Using the double angle formula for cosine, we can expand the first term:
cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ
Since cos2θ = cos²θ - sin²θ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsinθsinθ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ
On simplifying, we can see that;
cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
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The bill for dinner was $54.38. You left $10.62 for the tip. What percentage of the original bill was the tip?
Answer:
19.5%
Step-by-step explanation:
Percent = 100 * decimal = 100 * fraction
Let's find the decimal
(To the nearest thousandth) 10.62 / 54.38 = 0.195
Percent = 100 * 0.195 = 19.5
Hope this helps :)
Have a nice day!
help please. 10 points yall.
If and is in , find cos
Answer:
9/41
Step-by-step explanation:
Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side) which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.
If angles A and B are consecutive interior angles, what is the measure of
angle B if angle A measures 75°?
A. 105
B. 75
C. 180°
O
D. 90°
SUBMIT
Answer:
A
Step-by-step explanation:
180 - 75 = 105
Help me with this please
The proposed skyscraper is 172.8 m tall
Scale drawingFrom the question, we are to determine the how tall the proposed skyscraper is in meters
From the given information,
The scale of the model is
1 in : 7.2 m
and
The model is 2 ft tall
First, convert 2 ft to inches
NOTE: 1 foot = 12 inches
∴ 2 feet = 2 × 12 inches
= 24 inches
Now,
If 1 inch represents 7.2 m
Then,
24 inches will represent 24 × 7.2 m
24 × 7.2 m = 172.8 m
Hence, the proposed skyscraper is 172.8 m tall
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using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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Evaluate:
54 - 75 + 81 - (-27) + 53
Answer:
140
Step-by-step explanation:
Answer:
140.
Step-by-step explanation:
PEMDAS.
Since there isn't any problems that aren't adding, we can just do it step by step.
54 - 75.
-21.
Add 81.
60.
Subtract -27.
87.
Add 53.
140.
Brainiest?
2x + 8=12 what is the value of 4x + 2
Answer:
2x + 8 = 12
x = 2
4x = 2 = 10
Step-by-step explanation:
Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality.
500 − 30x ≥ 200
−500 −500
−30x ≥ −300
x ≥ 10
Review Jamie’s work. What was her error?
Her error was that she misplaced the numbers
-30x ≥ -300
its supose
to be -30x ≥ 200
Answer:
Jamie should have reversed the inequality when using the division property of inequality.
Step-by-step explanation:
Which of the following fits this equation? x<10+1
A.) 11
B.) 19
C.) 10
D.) 40
Answer:
C.] 10
Step-by-step explanation:
We can substitute x for 10. 10 is less than 11 so this makes the statement true.
Write each as a percent.
13. 1/8
14. 2/3
15. 2 1/10
16. 87/100
Answer:
Concept: % Values
12.5% 66.6%210%87%Alexa bought 2 1/3 pounds of turkey for 26.25. What is the cost per pound?
Answer:
11.25
Step-by-step explanation:
Answer:
approximatly $11.25
Step-by-step explanation:
26.25/2.333333 = 11.2500000161
Pls help I’ll brainlest asap
Which choice (letter)
Kara, who lives in Canada, plays a popular online video game where every round has a winner. Her best streak is 212121 wins in a row, and she wonders how that compares to other players. The game's website has a worldwide leaderboard of players with the longest win streaks for each month. Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 wins in a row.
For which population is 636363 wins a legitimate estimate of the average longest streak?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only the top 200200200 longest streaks worldwide in June
(Choice B)
B
Only the top 200200200 longest streaks in Canada in June
(Choice C)
C
Only the top 200200200 longest streaks worldwide from all time
(Choice D)
D
Only the top 200200200 longest streaks in Canada from all time
(Choice E)
E
The longest streaks for all players worldwide in June
Report a problem
3 of 7
Answer:
Choice A
Step-by-step explanation:
End of the question states it, and I did it on Khan :)
Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 so option (A) will be correct.
What is mean?The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Mean = sum of data / Number of data
For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be
( 40 + 45+ 44 + 46 + 48) /5 = 44.6.
Given that,
Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 wins in a row
It means the top 200200200 longest streaks worldwide in June have an average longest streak of 636363.
Hence " Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363".
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Im just trying to see if this answer is correct could someone check
Answer:Its 81.25
Step-by-step explanation:
right on acellus
45
899
769
459
X?
Use the exterior angle sum to find the value of x in the diagram
above.
A.72
B.105
C.108
D.435
Answer:d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
The first shelf on Hannah’s bookshelf hoods an equal number of fiction and nonfiction. If Hannah’s selects 5 books randomly, what is the probability that 3 of the books will be fiction and 2 will be nonfiction
Answer:
The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
Step-by-step explanation:
What is probability?
Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.
To find which 2 books describe a pair of dependent events:
A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.
Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.
Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.
Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.
Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
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Tickets for a reserved seat, r, for the basketball game cost $4 each and student tickets, s, cost $3 each. There were 1,787 people who attended the basketball game and a total of $5,792 was earned in ticket sales. Select the two equations that represent the situation.
A) r+s=5,792
B) r+s=1,787
C) 3r+4s=5,792
D) 4r+s=5,792
E) 4r+3s=5,792
The two equations which can be used to represent the situation are;
r + s = 1787
4r + 3s = 5,792
The correct answer choice is option B and E
Write two equations that represent the situation?Reserved seat for basketball game = r
Students seat for basketball game = s
Cost of reserved seat tickets = $4
Cost of students tickets = $3
Total number of people who attended the basketball game= 1,787 people
Total amount earned for tickets sales= $5,792
r + s = 1787
4r + 3s = 5,792
Therefore, the basketball game situation can be represented by the equation r + s = 1787; 4r + 3s = 5,792
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Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
Write three and seven eighths as an improper fraction and as a mixed number.
A 17/8, 3 7/8
B 31/8, 3 7/8
C 31/8, 7 3/8
D 59/8, 7 3/8
What is the value of u?
Answer:
66-26 = 40
Step-by-step explanation:
u = 40 degrees
The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 6, 0), has a vertex at (negative 4, 4), and goes through (negative 2, 0).
Which statement about the function is true?
The function is increasing for all real values of x where
x < –4.
The function is increasing for all real values of x where
–6 < x < –2.
The function is decreasing for all real values of x where
x < –6 and where x > –2.
The function is decreasing for all real values of x where
x < –4.
The statement about the function is: "The function is decreasing for all real values of x where x < -4." D.
The given information tells us that the graph represents a downward-opening parabola.
The vertex of the parabola is located at (-4, 4) indicates that this point is the highest point on the graph.
As we move to the left of the vertex, the function values decrease, indicating a decreasing trend.
Moreover, the graph passes through the point (-6, 0), which lies to the left of the vertex.
This confirms that the function is decreasing for all real values of x less than -4, including x < -6.
On the other hand, the graph also passes through the point (-2, 0), which lies to the right of the vertex.
This does not impact the conclusion that the function is decreasing for x < -4, as the graph's behavior to the right of the vertex is not relevant to this particular statement.
Based on the given information and the properties of the downward-opening parabola, we can conclude that the function is decreasing for all real values of x where x < -4.
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A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $4 for children. The total cost for the movie is $85. Enter an equation to find the number of adults in the group. The equation + a = can help find out how many adults were in the group.
Answer:
There is 8 adults and 1 child
Step-by-step explanation:
$78 - $6 = $72
$72 divided by 9 = 8
you would add nine 8 times and add 6 to it then it would be $78
Hope this helps you! :)
Which is an x-intercept of the graphed function? (0,4) (-1,0) (4,0) (0,-1)
The x-intercept of the graphed function is (-1,0)
How to determine the x-intercept of the graphed function?The x-intercept of the graphed function is the point where the function has a value of 0
i.e. the x value when y = 0
From the complete question, we have:
x = -1 when y = 0
Hence, the x-intercept of the graphed function is (-1,0)
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A car travels 50 mph for 10 minutes. How many miles per minute is the car traveling? Round to the nearest tenth.
To the nearest tenth of a mile, how far does the car travel in 1 minute?
0.12 miles per minute
0.83 miles per minute
1.2 miles per minute
8.3 miles per minute
Answer:
0.83 miles per minute
Step-by-step explanation:
the second option
Answer: 0.83 miles per minute
*second option*
Step-by-step explanation:
Got it correct
Use the given information to complete ALL other information:
Context
At your local
theater, it's $12 for
your movie ticket
and $10 for every
bag of popcorn
you purchase.
Table
0
X
2
Y
22
52
Graph
64
4
3
L
2
2
-1
IN
m
4
Equation and Key Features
Equation:
Slope:
Y-intercept:
The required parameters is as follows:
Equation: y = 10x + 12.
Slope: 10.
Y-intercept: 12.
What is meant by slope-intercept form?Given the slope of the line and the intercept it forms with the y-axis, the slope intercept form in mathematics is one of the forms used to determine the equation of a straight line. Y = mx + b is the slope intercept form, where m is the slope of the straight line and b is the y-intercept.
The simplest definition of point-slope form is a line equation expressed using a single line point and the line's slope. The slope is the ratio of the change in the y values over the change in the x values, or the rise over run, and the point form is written as (x,y).
This mathematical formula gives the equation of a straight line in slope-intercept form;
y = mx + c
Where, m represents the slope or rate of change
x and y are the points
c represents the y-intercept or initial value.
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Solve with explanation please
Answer:
Length of the rectangular lot = 60 meters
Width of the rectangular lot = 30 meters
Step-by-step explanation:
Let the width of the rectangular lot be x meters.
So, Length of the same = 2x metres.
\(A(rectangular \:lot) = (2x)(x)\)
\(\implies A(rectangular \:lot) = 2x^2\)
When length is increasEd by 40 m and width by 6 m. Then....
New length = \((2x + 40) \:m\)
New width =\((x + 6) \:m\)
According to the question:
\((2x + 40)(x + 6) = 2(2x^2)\)
\(\implies 2x(x + 6) + 40(x + 6) - 4x^2=0\)
\(\implies 2x^2+12x + 40x + 240 - 4x^2=0\)
\(\implies 2x^2- 4x^2+12x + 40x + 240 =0\)
\(\implies -2x^2+52x + 240 =0\)
\(\implies 2(x^2-26x - 120) =0\)
\(\implies x^2-26x - 120=0\)
\(\implies x^2-30x+4x - 120=0\)
\(\implies x(x-30)+4(x - 30)=0\)
\(\implies (x-30)(x+4)=0\)
\(\implies x-30=0,\: x+4=0\)
\(\implies x=30,\: x=-4\)
Since, x represents the side length, so its value can't be negative.
\(\implies x=30\)
\(\implies 2x=2(30)=60\)
Thus,
Length of the rectangular lot = 60 meters
Width of the rectangular lot = 30 meters