Answer: At most 5 laps.
Step-by-step explanation:
N= # of laps
7mins times the number of laps= 7N
35 mins= at most
[tex]7n\leq 35\\\\\frac{7n}{7} \leq \frac{35}{7} \\\ \ \ \ n\ \leq \ 5[/tex]
What is the value of the absolute value expression |−127| + |5| − |−43|?
−165
−79
89
175
Step-by-step explanation:
|127|+|5|-|-43|=127+5-43=89
Answer:89
Step-by-step explanation:
question in the screenshot
Answer:
4.2
Step-By-Step explanation:
12.5+1.5=14
14 times 3= 42
42/10= 4.2
2Over the course of 6 days, Tonda ran 17.22 miles. She ran the same distance each day. How far did Tonda run each day? Write an equation to show your work help any smart people here help me plss
Over the course of 6 days, Tonda ran 17.22 miles. She ran the same distance each day. How far did Tonda run each day?
___________________________________________________________
17.22 miles / 6 days = 2.87 miles/ day
___________________________________________________
Answer
Ronda run each day 2.87 miles
an angle of size 124 degrees has been rotated degrees around a center 0. what is the size of the rotated angle? how do you?
The size of the angle after the transformation is 124 degrees
How to determine the size of the rotated angle?The transformation is described by
Rotation by degrees around a center 0
The measure of the angle is given as
Angle = 124 degrees
There are four types of transformation, and they are:
DilationRotationReflectionTranslationThe representation of the types of transformation are:
Dilation: k(x, y)Rotation: rotation by anglesReflection: reflection across linesTranslation: (x + h, y + k)As a general rule of rotation:
When a shape, line or an angle is rotated, the size of the angle in the rotated figure remains unchanged
This means that the angle remains 124 degrees
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Given that A, O & B lie on a straight line segment, evaluate x
Given that the points A, O and B lie on a straight line, then we can say that; x = 11°
What is the value of the missing angle?We are told that the points A, O and B lie on a straight line.
Now, according to angle postulates, we know that the sum of all angles on a straight line sums up to 180 degrees. Thus, it means that;
∠AOC + ∠COD + ∠BOD = 180°
Plugging in the relevant values gives us;
3x + 88 + x + 36 + 2x - 10 = 180
6x + 114 = 180
6x = 180 - 114
6x = 66
x = 66/6
x = 11
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in Mrs raps advisory 20 students saw the action movie and 5 didn't what is the ratio of students who saw the movie to the total students simplify the ratio
Answer:
4 : 5
Explanation:
We are told that 20 students saw the movie and 5 didn't, meaning there were in total 20 + 5 = 25 students; therefore, the ratio is
[tex]\frac{\text{saw the movie}}{\text{total students}}=\frac{20}{25}[/tex]To simplify the ratio, we divide both the numerator and the denominator by 5. This gives
[tex]\frac{20\div5}{25\div5}[/tex][tex]\frac{4}{5}[/tex]Hence, the ratio of the students who saw the movie to the total number is 4 : 5.
32 Développe et réduis les expressions
suivantes :
A = (x + 4)(x + 3)
B = (y + 3)(2y + 8)
C = (3z + 4)(5 + 6z)
D = (7t+8)(3 + 5f)
A number, double the number, and 16 are added. The result is 61. What is the original number?
ANSWER
[tex]15[/tex]EXPLANATION
Let the number be x.
If the number is doubled, it becomes:
[tex]2x[/tex]The number, double the number and 16 are added and the result is 61.
This implies that:
[tex]x+2x+16=61[/tex]Solve for x:
[tex]\begin{gathered} 3x+16=61 \\ 3x=61-16=45 \\ x=\frac{45}{3} \\ x=15 \end{gathered}[/tex]That is the number.
Two similar triangles. The first triangle has a side length of 21 meters, which corresponds to the second triangle's side of 3 meters. The missing side of the first triangle corresponds to a side of 8 meters on the second triangle.
© 2017 StrongMind. Created using GeoGebra.
How many meters long is the missing side?
Note: The triangles may not be drawn to scale.
Enter your answer as a number, like this: 42
Answer:
x/8 = 21/3
x = 21/3 * 8
x = 56 m
A turtle and a rabbit are in a race to see who is first to reach a point 100 feet away. The turtle travels at a constant speed of 20 feet per minute for the entire 100 feet. The rabbit travels at a constant speed of 40 feet per minute for the first 50 feet, stops for 3 minutes, and then continues at a constant speed of 40 feet per minute for the last 50 feet. Determine which animal won the race and by how much time.
At store a 3 lb of apples cost $12 at store B the cost is given by y = 2x where Y is the cost in dollars and X is the number of pounds of apples the cost of apples at store C is shown in the graph what is the unit price of apples at store a explain how you found this unit price
The most appropriate choice for equation of line in slope intercept form will be given by
Unit price of apple in store A = $4
Unit price of apple in store A = $2
Unit price of apple in store A = $3
What is equation of line in slope intercept form?
Equation of line in slope intercept form is given by y = mx + c
Where, m is the slope of the line and c is the y intercept of the line
The distance from the origin to the point where the line cuts the x axis is called x intercept
The distance from the origin to the point where the line cuts the y axis is called y intercept
Slope of a line is the tangent of the angle which the line makes with the positive direction of x axis
If [tex]\theta[/tex] is the angle which the line makes with the positive direction of x axis, then slope of the line is given by [tex]tan\theta[/tex]
If the line passes through ([tex]x_1,y_1[/tex]) and ([tex]x_2, y_2[/tex])
slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Unit price of apple in store A = [tex]\frac{12}{3}[/tex] = $4
For store B
Putting x = 1
y = [tex]2 \times 1[/tex]
y = 2
Unit price of apple in store B = $2
For store C
From the graph,
At x= 1, y = 3
Unit price of apple in store C = $3
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Complete Question
The graph has been attached
Need help with a question
It will take Sofia 3 hours to travel 13.5 miles at the same rate.
What is rate?A rate is a ratio which compares two different quantities with different units.
For rate, the quantity at the denominator is usually expressed as a single unit to ascertain the extent of change of the other quantity
Sofia travelled 9miles for 2 hours so that her rate is 4.5 miles per hour
If she travels with the same speed and covered 13.5 miles,
Then the time she took to cover 13.5 miles is = 13.5/4.5 = 3
In conclusion, It took Sofia 3 hours to cover 13.5 miles at the rate of 4.5 miles per hour.
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There are 85 women and 55 men in a school marching band. Find the ratio of women to men.
Answer:
17:11
Step-by-step explanation:
85/5 = 17 and 55/5 = 11
Thus, 85:55 ratio simplified is 17:11
The sociology of sport journal examined the sat scores of male student athletes at ncaa division 1 institutions. the sat score is used to determine whether athletes are eligible to participate in athletics during their first year, with the ncaa requiring a minimum score of 700. suppose that sat scores of athletes on scholarship have an average of 950 and a standard deviation of 200. assuming the distribution of sat scores is approximately normal, what percentage of athletes will not be eligible their first year?
Using the properties of standard deviation , 10.56% of people will not be eligible in the first year.
A standard normal table is a mathematical representation of the values of the components of the normal distribution's cumulative distribution functions.
It is also referred to as the Z table or the unit normal table .The likelihood that a statistic will be observed below, above, between, or on the normal distribution, which comprises all normal distributions, is determined using this formula. It is common practice to transform a normal to a standard normal before using the standard normal table to calculate probabilities since there are an unlimited number of possible normal distributions, making it impossible to write probability tables for each one.Given mean = 950
SD = 200
data value = 700
Z score = (700-950) ÷ 200 = -1.25
Therefore the p-value corresponding to the z-score is : 0.1056
therefore the required percentage = 10.56%
Hence 10.56% of people will not be eligible in the first year.
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X]0,5,10,15
Y]-2,40.5,83,125.5
The slope-
Y intercept-
The equation-
Answer:
Slope is 8.5
Y intercept is -2
Equation is y = 8.5x - 2
Step-by-step explanation:
See attached image
Danny recipe calls for 3 cups of flour He would like to combine some wheat flour and some white flour to equal 3 cups Write two mixed numbers that have a sum of 3
Answer:
1 1/2 + 1 1/2
Step-by-step explanation:
1 1/2 (or 1.5) plus 1 1/2 equals 3
Factor the polynomial function over the complex numbers. f(x)=x4−x3−2x−4
(requesting an explanation as well!)
Using the Factor Theorem, the polynomial is factored as follows:
f(x) = (x - 2)(x + 1)(x² + 2).
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots(also called zeros) [tex]x_1, x_2, \codts, x_n[/tex] is given by the following rule.
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient of the polynomial, determining if it is positive(a positive) or negative(a negative).
In this problem, the polynomial is given by:
f(x) = x^4 - x³ - 2x - 4.
This polynomial is factored applying the inverse factor theorem, finding the roots of the polynomial, which are given as follows:
x = 2.x = -1.x = -1.41i.x = 1.41i.For the complex roots, we have that 1.41² = 2, hence the term corresponding to the two complex roots is:
x² + 2.
Then the complete factored polynomial is:
f(x) = (x - 2)(x + 1)(x² + 2).
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read the attachment 15 points total
Answer:
The correct answer is D. -8<535
Step-by-step explanation:
Distance (mi)
Rate (mph)
Time (hr)
Trip to Library
x
6 mph
StartFraction x Over 6 EndFraction
Trip to Home
x
12 mph
StartFraction x Over 12 EndFraction
She travels at a speed of 6 miles per hour to the library. She travels at a speed of 12 miles per hour on her way home. The residence and library are eight miles apart.
Given that,
Bree's journey from her house to the library and return is shown in the table below. She travels at a speed of 6 miles per hour to the library. She travels at a speed of 12 miles per hour on her way home. The journey takes two hours in total.
We have to find which equation can be used to calculate the mileage between Bree's home and the library in miles.
Two or more equations that can be solved to get a singular result are referred to as a system of equations. The equation's power must be in one degree.
From home to the library, it takes d/6 hours.
The journey from the library to home takes d/12 hours.
The equation is
d/6+d/12=2 hours
2d+d=24
3d=24
d=24/3
d=8
Therefore, The residence and library are eight miles apart.
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the determinant of a is the product of the pivots in any echelon form u of a, multiplied by (1)r, where r is the number of row interchanges made during row reduction from a to u.
The determinant of a is the product of the pivots in any echelon form u of a, multiplied by (1)r, where r is the number of row interchanges made during row reduction from a to u is False.
Given:
The determinant of a is the product of the pivots in any echelon form u of a, multiplied by (1)r, where r is the number of row interchanges made during row reduction from a to u.
Definition of det A:
det A = (-1)^r * (product of pivots in echelon form) if A is invertible or 0 when A is not invertible.
From definition of det A we can simply say the given statement is false - This can only hold if A is an invertible matrix, but the problem does not state this.
Reduction to an echelon form may also include scaling a row by a nonzero constant, which can change the value of the determinant.
Therefore the determinant of a is the product of the pivots in any echelon form u of a, multiplied by (1)r, where r is the number of row interchanges made during row reduction from a to u is False.
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Kayla is the middle of three siblings whose ages are consecutive even integers. If the
sum of their ages is 60, find Kayla's age
Answer:
Kayla's age is 20
Step-by-step explanation:
20*3=60
please help me tomorrow is my exam please help
Answer:
See image
Step-by-step explanation:
A few way to represent this - mine is just one
Find the value of x in each case.
Check the picture below.
Can someone pls help me it would mean a lot
The position where where angle, θ would be located is at: angle F (∠F).
What is a right angle?A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angle has a measure of 90 degrees.
Additionally, all right angles are are formed as a linear pair and they are marked with a right angle symbol.
In conclusion, the measure of the angle in this right angle triangle would be calculated by using the tangent function as follows:
Tanθ = Opposite side/Adjacent side
Tanθ = 6/4
Angle, θ = tan⁻¹(6/4)
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The term "peer influence" is best described as when
A. a parent encourages a child to improve their health through daily activities
B. one person or more affects another persons' character, development, or behavior
C. commercials encourage teenagers to engage in risky, unsafe, or unhealthy behavior
D. the media projects false advertising to convince consumers to buy their products
The term "peer influence" is best described as when B. one person or more affects another persons' character, development, or behavior.
What is peer influence?When you decide to do something you otherwise wouldn't do because you want to feel liked and respected by your friends, that is peer influence at work. It's not just or always about being forced to do anything. Peer pressure is the influence of peers, either directly or indirectly.
In this case, people who belong to social groupings that share the same experiences, hobbies, or social standing. A person's opinions, attitudes, and conduct are more likely to be influenced by peers.
In conclusion, the correct option is B.
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Answer:
B
Step-by-step explanation:
When you decide to do something you otherwise wouldn't do because you want to feel liked and respected by your friends, that is peer influence at work. It's not just or always about being forced to do anything. Peer pressure is the influence of peers, either directly or indirectly.
Please help me i don't understand this
I am sorry if this is incorrect but the elevator started at floor 8 and
between 7 and 6 seconds it started to rise, it stopped moving at 19 seconds and 23
when it descended it stopped at floor 20
the floor rate is, 4 floors second
Can somebody please help me!? I really need help
Answer:
Step-by-step explanation:
With what?
Answer:
Step-by-step explanation:
with what question
What is the answer to the question I really need to know asp
Answer:
hypotenuse is the answer
Jasim works in a restaurant.
The table shown gives his rates of pay.
Day
Mon to Fri
Weekend
Jasim worked for a total of 30 hours last week.
He worked 12 of these hours at the weekend.
Work out Jasim's pay for last week.
Rate of pay
£8.70 per hour
£10.80 per hour
From the given table's rate, Jasim's salary for a total of 30 hours worked last week is computed as £286.2.
What does a mathematical table of data mean?Utilizing rows and columns, tables are a handy tool for information organization. Tables are a flexible organizational tool that may be used to convey information on their own or in conjunction with other types of data display (like a graph).Given:
Jasim worked 30 hours total last week.
On weekends, he worked 12 of these hours.
From the table given, we can find Jasim's pay for last week.
Number of hours worked by him from Monday to Friday = 30 -12 = 18 hours
His pay from Monday to Friday = 18 × 8.70
= £156.6
His pay on weekend = 12 × 10.80
= £129.6
Total pay of Jasim = 156.6 + 129.6
= £286.2
Therefore, Jasim's pay for a total of 30 hours worked last week is calculated as £286.2 using the given table's rate.
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Find two consecutive even integers whose sum is 126
The consecutive even numbers have a value of 62 and 64
How to determine the consecutive even integers?The sum of the consecutive even integers is given as
Sum = 126
Let the consecutive even integers be x and y
Where
y = x + 2
This means that the variable y has a smaller value
The sum of the consecutive even integers can be represented as
Sum = x + y
So, we have
Sum = x + x + 2
Evaluate the sum
Sum = 2x +2
This gives
2x + 2 = 126
Subract 2
2x = 124
Divide by 2
x = 62
Substitute x = 62 in y = x + 2
y = 62 + 2
Evaluate
y = 64
Hence, the even numbers are 62 and 64
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