Answer:
5 defensores
Step-by-step explanation:
La pregunta correcta es la siguiente;
Hay 32 delanteros y 80 defensas en la liga de baloncesto de Leo. Leo debe incluir a todos los jugadores en un equipo y quiere que cada equipo tenga el mismo número de delanteros y el mismo número de defensas. Si Leo crea el mayor número de equipos posible, ¿cuántos defensas habrá en cada equipo?
Responda como sigue;
Ahora queremos saber el número de defensas que deberíamos tener por equipo.
La respuesta a esta pregunta es simplemente encontrar la relación entre el número de delanteros y el número de defensores.
matemáticamente,
eso sería 32:80 = 2: 5 Entonces esto significa que por cada 2 delanteros en un equipo, debería haber 5 defensores
Mrs johnson grows herbs in square plots Her basil plot measures. 5. 9 yd on each side. A. Find the total area of the basil plot. B. Mrs. Johnson puts a fence around the basil. If the fence was 2 ft from the edge of the garden on each side, whats the perimeter
Answer:
Area = 34. 81 yd^2
Perimeter = 86.6 feets
Step-by-step explanation:
Given the following :
Shape of Mrs. Johnson's plot = square
All sides of a square are of equal length
Measure of each side = 5.9 yd
A.) Area of plot
Area of plot = Area of a square
Area of a square(A) = a^2
Where a = side length
A = 5.9^2
A = 34.81 yd^2
B) Perimeter of Basil plot = Perimeter of a square
Converting yard to feet
1 yard = 3feets
Therefore,
5.9 yards = (3 * 5.9) = 17.7 feets
Fence is 2ft from the garden on each side,
Length of fence on each side = (2 + 17.7 + 2) Feets = 21.7 Feets
Perimeter of a square (P) = 4a
Where a = side length
P = 4 × 21.7
P = 86.6 feets
Answer:
86.6 feet
Step-by-step explanation:
Nick can type 30 words a minute. How many words can be typed in 9.5 minutes ?
Answer:
285 words in 9.5 min
Step-by-step explanation:
Use the appropriate conversion factor here:
30 words x
---------------- * -------------
1 minute 9.5 min
So x = number of words typed in 9.5 min = 285
Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is StartFraction one-half EndFraction
That is Talia's incorrect step. The incorrect step is: C. Step 3
How to find the slope?The slope of a line or straight object is the proportion of how much rise occurs in relation to the increment in the run. calculate percent slope, divide the difference between two points' elevations by their distance, then multiply the quotient by 100. The rise is the difference in elevation between two points. The run is the distance between the points. As a result, the percent slope equals (rise / run) x 100.Thus, we get:
Slope = rise/ run
Calculating the slope using two points on the line, (2, 5) and (1, 3), we have:
Slope (m) = (5 - 3)/(2 - 1)
Slope (m) = (2)/(1)
Slope (m) = 2
This shows that the ratio of the slope calculated by Talia was wrong. The step that is incorrect is: C. Step 3
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4) Jimmy earns a gross income of $2,500 every two weeks. Deductions from each paycheck include insurance, retirement, and taxes, which total $1,000. Starting with his next paycheck, his insurance will increase by $50. What conclusion can be drawn about his income with this change? A) His net income will increase, but his gross income will decrease. B) His net income will decrease, but his gross income will increase. C) His net income will remain the same, but his gross income will increase. D) His net income will decrease, but his gross increase will remain the same.
The conclusion that can be drawn about Jimmy's income with the increase in his insurance is that his net income will decrease, but his gross income will remain the same.
Although his insurance is increasing by $50, the total deductions from his paycheck will still be $1,000, meaning that his net income will decrease by $50. However, his gross income will remain the same at $2,500. Gross income is the total amount of income earned before any deductions or taxes are taken out, while net income is the amount of income left after all deductions and taxes are taken out. Therefore, while his net income will decrease, his gross income will remain the same.
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What is 0.8 x 0.7.
Please help me
Answer: p.56
Step-by-step explanation: I used the calculator
Answer:
0.8 × 0.7 = 0.56 answer..
A cube with a volume of 64 cubic meters is scaled by factor of 5.what is the volume of cube in cubic meters?
What is the equation of the line that passes through the point (-2,-1) and has a slope of 5/2
Answer:
y = (5/2)x + 4
Step-by-step explanation:
We'll look for an equation in the format y = mx + b, where mn is the slope and b the y-intercept (the value of y when x = 0).
y = mx + b
m is (5/2)
y = (5/2)x + b
We need a value of b that will force the line through point (-2,-1). Enter the point (-2,-1) in the equation and solve for b:
y = (5/2)x + b
-1 = (5/2)(-2) + b
-1 = -5 + b
b = 4
The equation is y = (5/2)x + 4
See attached image.
help me please guys I need help
Answer:
?
Step-by-step explanation:
The point of concurrence of perpendicular bisectors of the sides of a triangle is known as ___________ .
A. circumcentre
B. incentre
C. collinear point
D. centroid
The point of concurrence of perpendicular bisectors of the sides of a triangle is known as the circumcentre (option A).
The circumcentre is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle. The circumcentre is equidistant from the three vertices of the triangle, and it lies on the perpendicular bisectors of the triangle's sides.
The perpendicular bisector of a side of a triangle is a line that is perpendicular to the side and passes through its midpoint. When the perpendicular bisectors of all three sides of a triangle intersect at a single point, that point is the circumcentre. It is important to note that not all triangles have a circumcentre.
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Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.)
Answer: Intersection of A and B = 2
Step-by-step explanation:
Total cards = 52
Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.
Total cards having 6 on them = 4
[There are 4 suits of two different colors red and black.]
Total black playing card =26
Intersection of A and B = Black cards having 6 = 2
hence, Intersection of A and B = 2
PLEASE HELP
Question 2 of 10
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and y-intercept at (0.-1)?
O A. y= 4x-1
O B. y=--x-1
O C. y=-x-1
O D. y= x+1
Answer:
B. y=--x-1
Step-by-step explanation:
Using the Slope Intercept Form or y=mx+b Form, we can plug in m with 1 and b with - 1.
What is the slope of the graph below! please show work if you don’t mind!
please help i need help with this question PLEASEEE
a) The family should expect to sell the property for: $19,026.90.
b) The family should expect to sell the property for: $670,432.
How to model the situations?The rate of change for each case is a percentage, hence exponential functions are used to model each situation.
For item a, the function has an initial value of 29000 and decays 10% a year, hence the value after x years is given as follows:
y = 29000(0.9)^x.
In the 4th year, the value is given as follows:
y = 29000 x (0.9)^4
y = $19,026.90.
For item b, the function has an initial value of 435500 and increases 4% a year, hence hence the value after x years is given as follows:
y = 435500(1.04)^x.
Then the value in 11 years is given as follows:
y = 435500(1.04)^11
y = $670,432.
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Use substitution to solve for x and y:
[x = -19 -6y
(2x + 3y = -11
x = -19 -6y 2x + 3y = -11
x+6y = -19 2x + 3y = -11
2(x+6y)= 2(-19) 2x + 3y = -11
2x + 12y = -38 2x + 3y = -11
subtracting both equation
2x + 12y-(2x + 3y) = -38-(-11)
2x+12y-2x-3y = -38+11
9y= -27
y= -3
x= -19-(6×(-3))
x= -19+18
x= -1
x= -1 and y = -3
identify the open intervals on which the function is increasing or decreasing. (select all that apply.) f(x) = sin x -1, 0 < x < 2 π
Increasing:
A. (π/2, 3π/2)
B. (0, π/2)
C. (3π/2, 2π)
D. (0, [infinity])
E. (-[infinity],0)
The intervals on which function f(x) = sin x -1 increasing or decreasing is (0, π/2) (B).
The given function is f(x) = sin x -1, 0 < x < 2 π.
A sinusoidal function is a function that can be written in the form f(x) = a sin(bx + c) + d or f(x) = a cos(bx + c) + d, where a, b, c, and d are constants.
The graph of the given function is a sine curve shifted downward by 1 unit.
The function is increasing on the interval (0, π/2) because the slope of the curve is positive on this interval.
The function is decreasing on the interval (π/2, 3π/2) because the slope of the curve is negative on this interval.
The function is increasing again on the interval (3π/2, 2π) because the slope of the curve is positive on this interval.
Therefore, the correct answer is option B. (0, π/2).
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) dave will swim one day, run one day, and bike another day in a week. he does at most one activity on any particular day. how many ways are there for him to select his workout schedule (i.e. which activities he does which days)?
First Dave picks his swimming day, then his running day, and then his biking day. Since each activity is different, the order in which he selects the days matters. Therefore the number of selections is P(7, 3).
What is probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 1/2.
Here,
He does 3 activities in 7 days,
P(7,3) is the ways to select the schedule.
Dave chooses his swimming, running, and biking days in that order. The sequence in which he chooses the days is important because each activity is distinct. Consequently, P is the number of choices (7, 3).
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how many terms are in the following expression?
The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.
How to find the number of terms ?In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:
62 x- 4 y 5 zEach term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.
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The full question is:
How many terms are in the following expression 6 + 2 x - 4 y + 5 z
Jordan is saving to buy a pair of shoes. He already has saved $30. If the shoes cost $75, write an inequality to determine how much more money he needs to save so he can buy the shoes
The inequality to determine how much more money he needs to save so he can buy the shoes is x ≥ $45
Let x be the amount of money Jordan still needs to save to buy the shoes.
The total cost of the shoes is $75, and Jordan has already saved $30. Therefore, the amount of money he still needs to save is:
x = $75 - $30
Simplifying the right side:
x = $45
So, the inequality that represents how much more money Jordan needs to save is:
x ≥ $45
This means that Jordan needs to save at least $45 more to be able to buy the shoes.
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if the population average is 45, the sample mean is 50, and the standard error of the mean is 5, what is the observed z value?a. 0b. -1c. 1d. 2
The observed z value is 1. Therefore, the given option that falls under the criteria of the correct answer is Option C.
To find the observed z value we have to use the principles to create a formula.
The formula for finding the value of z is
z = ( x - μ)/(σ/√n)
here,
x = sample mean
μ = population mean
σ = standard deviation of the population
n = sample size
for the given question the values are
x = 50
μ = 45
σ = 5
n = 1
staging the values in the formula
z = (50-45)/(5/√1)
z = 1
The observed z value is 1. Therefore, the given option that falls under the criteria of the correct answer is Option C.
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Subtract the shortest length from the longest.
0.81 m
1.08 m
0.8 m
180 cm
18 cm
What is the leading term of the polynomial given x^6-x^2
SOLUTION:
Step 1:
In this question, we are given the following:
What is the leading term of the polynomial given:
\(x^6\text{ - x}^2\)Step 2:
The details of the solution are as follows:
What is a leading term of a polynomial?
Back to the question, we can see clearly that the leading term of the polynomial:
\(\)If you deposit 500$ in a savings account that earns simple interest at a rate of 4.25% per year,how much interest will you have earned
Answer:
Find out what is 4.25% of 500 and that will be your answer
Step-by-step explanation:
$21.25
The graph shows a line and two similar triangles.What is the equation of the line?
The next week Ronaldo biked 2 1/2 times the distance around the 20 miles lake How many miles did he ride
Answer: 50 miles
Step-by-step explanation:
you just need to multiply 20x2.5 which will give you 50 miles.
Frank writes down a sequence in which the ratio of one term to the next is 2 : 5. He starts the sequence at 12. What are the next three terms in the sequence? Give your answers in order.
The next three terms of the sequence is 30 ,75 ,187.5.
What is sequence?The fundamental cοncepts in mathematics are series and sequence. A series is the tοtal οf all elements, but a sequence is an οrdered grοup οf elements in which repetitiοns οf any kind are permitted. One οf the typical examples οf a series οr a sequence is a mathematical prοgressiοn.
Here the given sequence's first term is 12.
Now the ratio between one term to next term is 2:5.
Then,
=> 2:5 = 12:x
=> \(\frac{2}{5}=\frac{12}{x}\)
=> x = \(\frac{12\times5}{2}\) = 6*5 = 30
Now to find next term using ratio then,
=> 2:5 = 30:x
=> \(\frac{2}{5}=\frac{30}{x}\)
=> x = \(\frac{30\times5}{2}\) = 75
Now to find next term using ratio then,
=> 2:5 = 75:x
=> x = \(\frac{75\times5}{2}\) = 187.5.
Hence the next three terms of the sequence is 30 ,75 ,187.5.
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IM.MP3.PC.2020-2021 Question: 1-10
Answer:
All of the Questions are the Same btw its -5/3
Step-by-step explanation:
1. Would the mean or median be the best representation for the following data set?
7, 5, 3, 8, 4, 9, 18, 6, 5, 7, 8
a. mean
b. median
Answer:
b. median
Step-by-step explanation:
It’s best to use the mean when the distribution of the data values are symmetrical and there are no clear outliers.
On the other hand, it’s best to use the median when the the distribution of data values is skewed or when there are clear outliers.
You can make your own graph, or use a statistics calculator to find out whether the graph is skewed or symmetrical. The graph for this scenario is shown below.
hope this helps!
a finite sequence of three-digit integers has the property that the tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term. for example, such a sequence might begin with the terms 247, 475, and 756 and end with the term 824. let be the sum of all the terms in the sequence. what is the largest prime factor that always divides ?
The largest prime factor that always divides the sum of the terms in the sequence is 37.
The sequence is finite and consists of three-digit integers.
The tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term.
From the above property of the sequence, we can see that each digit at the units, tens as well as hundreds place will appear the same number of times in the sequence.
Let "x" be the sum of the digits at unit place in all the terms.
The sum of all the terms is "S".
S = 111*x
S = 3*37*x
We can clearly see that the sum "S" is divisible by 37.
Hence, the largest prime factor that always divides the sum of the terms in the sequence is 37.
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3) Isaac has 18 coins, all quarters and nickels. The total value of the coins it $3.50.
Determine the number of quarters and the number of nickels that Isaac has.
By using the method subtraction,
1 quarter is 0.25
1 nickel is 0.05
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. An arithmetic operation called subtraction simulates the process of deleting items from a collection. The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.
Given that,
Isaac has 18 coins, all quarters and nickels.
The total value of the coins it $3.50.
Let the quarters be x and nickels be y
x+ y= 18
x= 18 - y... equation 1
1 quarter is 0.25
1 nickel is 0.05
So,
0.25x+ 0.05y= 3.50
substitute x value in above equation
0.25(18-y)+0.05 = 3.50
4.5-0.25y+ 0.05 = 3.50
4.55 - 3.50 = 0.25y
1.05= 0.25y
y= 4.2
y in equation 1
x= 18 - y
x= 18-4.2
x= 13.8
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Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:
Volume of a sphere = 4πr³/3
r=10
V = 4πx10³/3
=4000π/3
V= 1333.33π (in terms of pi)
or
V= 4188.79(Nearest Hundredth).