Answer:
It takes May 6 minutes and 24 seconds to run 4 laps and 1 minute and 36 seconds per lap
Statement and question:
May runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take May to complete 4 laps of the track?
Source:
Previous question that can be found at brainly
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Speed of May = 250 meters per minute
Length of the track = 400 meters
2. How many minutes does it take May to complete 4 laps of the track?
Let's answer the question calculating the total distance and the time it took Mary to run around the track, this way:
Total distance = 4 * 400 = 1,600 meters
Time it takes May to run 1,600 meters = 1,600/250
Time it takes May to run 1,600 meters = 6.4 minutes
6.4 minutes = 6 minutes + 0.4 * 60 seconds = 6 minutes and 24 seconds
Time it takes May to run one lap = 6.4/4 = 1.6
1.6 minutes = 1 minute + 0.6 * 60 seconds = 1 minute and 36 seconds
Each person that works at a company is given a 5-digit code. These employees must enter their codes on a keypad to enter and exit the office building. The company has 80 employees.
a) How many codes are possible if there are no restrictions?
b) What is the probability of someone entering a 5-digit code at random and gaining entry?
Answer:
A) 100000
B) 80/100000
Step-by-step explanation:
A) it is a simple matter of multiplying the possibilities of the digit it could be to the second one then to the third and so on and so forth
B) if a person were to enter a 5 digit code at random say it be 00000 then that person would have 80 out of a 100000 chance of unlocking the door as there are only 80 access codes that are correct
There are 100,000 possible 5-digit codes. The probability of a random 5-digit code granting access is 0.0008 or 0.08%.
Explanation:This problem involves combinatorics and probability.
a) If each digit of the 5-digit code can be any number from 0-9, then for each digit, 10 possibilities exist. Hence the total number of possibilities for a 5-digit code would be 10*10*10*10*10, which is 100,000. So there are 100,000 possible 5-digit codes.
b) Probability is defined as the number of ways an event can occur over the total number of outcomes. If each 5-digit code is unique and assigned to only one employee, with 80 employees, there are 80 valid codes. Therefore, the probability of someone entering a 5-digit code at random and gaining entry would be 80 (the number of successful outcomes) divided by 100,000 (the total number of possible outcomes), which is 0.0008 or 0.08%.
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Find the distance from the point A(-2,3) to the line y=1/2x+1. Round your answer to the nearest tenth.
To find the distance from a point to a line, we can use the distance formula. For this problem, the distance from point A(-2,3) to the line y=1/2x+1 is approximately 2.5 units.
Explanation:To find the distance from a point to a line, we can use the formula for the distance between a point and a line. The formula is:
d = |Ax + By + C| / √(A^2 + B^2)
In this case, the equation of the line is y = (1/2)x + 1, which can be rewritten as 2x - y + 2 = 0. Plugging in the coordinates of point A in the equation, we get:
d = |(2 * -2) + (-1 * 3) + 2| / √((2^2) + (-1^2)))
After completing the calculation, rounding the answer to the nearest tenth, the distance from point A(-2,3) to the line y = (1/2)x + 1 is approximately 2.5 units.
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b) Find the value of x. Show algebraic support.
hint: sum of the exterior angles is 360
Answer:
x = 16
Step-by-step explanation:
Given that the sum of the exterior angles is 360°
Sum the given exterior angles and equate to 360
47 + 93 + 46 + 3x + 62 + 4x = 360, that is
248 + 7x = 360 ( subtract 248 from both sides )
7x = 112 ( divide both sides by 7 )
x = 16
The measure of one angle of a right angle is 50 more then the measure of the smallest angle
Answer:
70° and 20°
Step-by-step explanation:
let x be the measure of one angle then x + 50 is the measure of the other angle, thus
x + 50 + x = 90
2x + 50 = 90 ( subtract 50 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
The smallest angle is 20° and the other angle is 20 + 50 = 70°
Solve for t: 3x8= t+15
Hey there!
I'm going to set up the equation slightly different.
[tex](3)(8)=t+5\\24=t+5\\t+15=24\\t+15-15=24-15\\t = 9 \checkmark[/tex]
Answer:
t = 9
Step-by-step explanation:
3x8 = t + 15
24 = t + 15
t = 24 - 15
t = 9
A force that pushes or pulls is known as
A.
a reaction force.
B. an expected force.
C. a positive force.
D. an applied force.
Answer:
D. an applied force.
Step-by-step explanation:just did it
Answer:
an applied force.
Step-by-step explanation:
An applied force is a force that occurs by pushing or pulling.
An applied force is a contact force because it requires contact between the person or object pushing or pulling and the object being pushed or pulled.
The mass of Venus is 4.87 × 10 24 kg. The mass of Earth is 5.97 × 10 24 kg. What is the difference in mass between these two planets? 1.1 kg 1.1 × 10 24 kg 1.22 × 10 24 kg 0.81 kg
The difference in mass between Earth and Venus is 1.10 times 10²⁴ kg.
The question asks for the difference in mass between Venus and Earth. To find this, we subtract the mass of Venus from the mass of Earth. The calculation goes as follows:
Mass of Earth = 5.97 times 10²⁴ kg
Mass of Venus = 4.87 times 10²⁴ kg
Difference = Mass of Earth - Mass of Venus
Difference = (5.97 times 10²⁴) - (4.87 times 10²⁴) = 1.10 times 10²⁴ kg
So, the difference in mass between Earth and Venus is 1.10 times 10²⁴ kg.
What is the following quotient 2/13+11
Answer:
[tex]\frac{145}{13}[/tex]
Step-by-step explanation:
2÷13+11
= (2÷13)+11
= (2÷13)+(11×13÷13)
=(2÷13)+(143÷13)
= 145÷13
Solve.
−35x+15>720
Drag and drop a number or symbol into each box to show the solution.
options:
< > -3/20, -1/4, 3/20, 1/4
Answer:
[tex]x<-\frac{1}{4}[/tex]
Step-by-step explanation:
The correct question is
Solve. −3/5x+1/5>7/20 Drag and drop a number or symbol into each box to show the solution
we have
[tex]-\frac{3}{5}x+\frac{1}{5} >\frac{7}{20}[/tex]
Solve for x
Multiply by 20 both sides
[tex]-12x+4 >7[/tex]
subtract 4 both sides
[tex]-12x >7-4[/tex]
[tex]-12x >3[/tex]
divide by -12 both sides
Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
[tex]x<-\frac{3}{12}[/tex]
simplify
[tex]x<-\frac{1}{4}[/tex]
Answer:
x < 1/4
Step-by-step explanation:
you're supposed to add or subtract the constant, and then do the same to the other constant, them bring down the coefficient and you'll get your answer.
hope this helps
answer asap i will make you brainliest!!!
ers as the elements in the rows near the bottom.
C.
have higher atomic numbers than the elements in the rows near the bottom.
D.
have lower atomic numbers than the elements in the rows near the bottom.
Answer:
Step-by-step explanation:
Tamara has a $50 gift card to the theater. Each movie costs $8. She can decide how many movies to see by solving the inequality 50 – 8m ≥ 0. Which is the correct solution?
Answer: Second option.
Step-by-step explanation:
Given the following Inequality provided in the exercise:
[tex]50 - 8m \geq 0[/tex]
You need to solve for "m".
Then, you can follow the steps below in order to find the solution of the inequality:
Step 1: You must apply the Subtractrion property of Inequality and subtract 50 from both sides:
[tex]50 - 8m-(50) \geq 0-(50)\\\\- 8m \geq -50[/tex]
Step 2: Now you need to apply the Division property of Inequality and divide both sides of this inequality by -8 (Since you are dividing both sides by a negative number the direction of the inequality changes). Then, you get:
[tex]\frac{- 8m}{-8} \geq \frac{-50}{-8}\\\\m\leq \frac{25}{4}\\\\m\leq6.25[/tex]
Notice that this solution matches with the second option.
Model 55% during a 10-by-10 grid
The correct answer is that 55 squares on a 10-by-10 grid would be shaded to represent 55%.
To solve this problem, we need to calculate the total number of squares on a 10-by-10 grid and then determine what 55% of that total would be.
First, we calculate the total number of squares on the grid:
[tex]\[ \text{Total squares} = 10 \times 10 \\\[ \text{Total squares}= 100 \][/tex]
Next, we find 55% of the total number of squares:
[tex]\[ \text{Number of shaded squares} = \frac{55}{100} \times 100 \][/tex]
[tex]\[ \text{Number of shaded squares} = 55 \][/tex]
So, to represent 55% on a 10-by-10 grid, we would shade 55 out of the 100 squares.
What is the zero of the function below?
f(x) =
[tex] 3\sqrt{x + 3} - 6[/tex]
Answer:
Step-by-step explanation:
[tex]3\sqrt{x+3}-6=0\\\\3\sqrt{x+3}=6\\\\\sqrt{x+3}=\frac{6}{3}\\\\\sqrt{x+3}=2\\\\Takesquarebothsides,\\\\x+3=2^{2}\\\\x+3=4\\\\x=4-3\\\\x=1[/tex]
Which describes a method for solving systems of equations in which you
plug in an expression for one variable written in the terms of the other?
Substitution method is used for solving systems of equations in which you plug in an expression for one variable written in the terms of the other
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The method described is called substitution method.
In the substitution method, we start by solving one equation for one of the variables in terms of the other variable.
Then, we substitute the expression we found for that variable into the other equation.
This allows us to solve for the other variable.
Finally, we substitute the value we found for that variable back into one of the original equations to solve for the first variable.
Hence, substitution method is used for solving systems of equations in which you plug in an expression for one variable written in the terms of the other
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Choose the equation that represents this situation. Use n to represent the
number of lawns mowed and tto represent total earnings.
Carson earns $15 for each lawn he mows. What are his total earnings?
Answer:
Step-by-step explanation:
He earns $15n
solve the equation
[tex] \frac{3}{8}x - 17 = 10[/tex]
Answer:
x = 72
Step-by-step explanation:
To solve for 'x', isolate it. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.
When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, what you do to one side you have to do to the other.
[tex]\frac{3}{8}x-17=10[/tex] Keep 'x' on the left and move everything over.
[tex]\frac{3}{8}x-17+17=10+17[/tex] Add 17 to both sides. "-17" cancels out on the left.
[tex]\frac{3}{8}x=27[/tex] Simplified right side
[tex]\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}[/tex] Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.
[tex]x=27/\frac{3}{8}[/tex] To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.
[tex]x=27*\frac{8}{3}[/tex] Combine the factors into one fraction.
[tex]x=\frac{27*8}{3}[/tex] Multiply 27 by 8 in the numerator.
[tex]x=\frac{216}{3}[/tex] Simplify the fraction by dividing top by bottom.
[tex]x=72[/tex] Final answer, solved for 'x'
draw 5 angles so that ∟2 and ∟3 are acute vertical angles,∟ 1 and ∟2 are supplementary , ∟2 and ∟5 are complementary and∟ 4 and ∟5 are adjacent.
Answer:
Figure is attached:
Acute angles are angles whose measures are less than 90°, so it needs to be less than a right angle.
Vertical angles are angles formed by two intersecting lines. When these lines intersect they form 4 angles in the middle. They are called vertical when they are opposite of each other like the figure attached.
Supplementary angles are two angles that sum up to 180° or they make up a straight line.
Complementary angles are two angles that sum up to 90°.
Adjacent angles are angles that are next to each other.
a restaurant automatically add an 18% tip to the bill. if the tip was $9, what was the bill before the tip was added, in dollars ?
Answer:
$50
Step-by-step explanation:
If the tip was $9, you can find the total price by dividing 9 by .18. .18 is 18% but as a decimal (move to the left two decimal places). 9/.18 = 50.
You can also check the answer by finding the 18% tip of $50. 50*.18=9.
to prove that LMN~XYZ by the SSS similarly theorem using the information provided in the diagram, it would be enough additional information to know that.
a) LM is 3 units and XZ is 5 units
b) LM is 4 units and XZ is 6 units
c) LM is 5 units and XZ is 3 units
d) LM is 6 units and XZ is 4 units
I believe the answer would be B because it makes the most sense putting the figures scaled in my head with the already designated lengths
To prove that LMN~XYZ by the SSS similarly theorem , the measure of sides are LM is 4 units and XZ is 6 units
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔLMN
Let the second triangle be ΔXYZ
Now , the corresponding sides are
LM / XY = LN / XZ
On simplifying , we get
The corresponding sides of similar triangles are in the same ratio
So , LM is 4 units and XZ is 6 units
Hence , the triangles are similar by SSS theorem
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When Alyssa runs the 400 meter dash, her finishing times are normally distributed
with a mean of 60 seconds and a standard deviation of 2 seconds. Using the empirical
rule, what percentage of races will her finishing time be between 54 and 66 seconds?
Answer:
need more details
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
1. Jason was asked to factor 25x2 - 1 on his algebra test. Which of the following
could best reflect Jason's answer?
The best reflection of Jason's answer among the given options is option : [tex]\((5x + 1)(5x - 1)\).[/tex]
The correct option is (H).
To factor [tex]\(25x^2 - 1\)[/tex], Jason likely used the difference of squares formula. This formula states that for any expressions [tex]\(a\) and \(b\), \(a^2 - b^2\)[/tex] can be factored as [tex]\((a + b)(a - b)\).[/tex]
In our case, [tex]\(a = 5x\) and \(b = 1\)[/tex]. So, we apply the difference of squares formula:
[tex]\[25x^2 - 1 = (5x)^2 - 1^2\][/tex]
[tex]\[= (5x + 1)(5x - 1)\][/tex]
This factorization is a result of recognizing that [tex]\(25x^2 - 1\)[/tex] can be written as [tex]\((5x)^2 - 1^2\),[/tex] fitting the difference of squares pattern.
Now, let's compare Jason's answer to the options given:
- Option F: [tex]\((5x-1)(5x-1)\)[/tex] is not correct. This represents the square of [tex]\(5x - 1\),[/tex] not a difference of squares.
- Option G: [tex]\((5x+1)(5x+1)\)[/tex]is not correct. This also represents the square of [tex]\(5x + 1\),[/tex] not a difference of squares.
- Option H:[tex]\((5x+1)(5x-1)\)[/tex] is correct. This represents the correct factorization using the difference of squares formula.
- Option J: Prime. This is incorrect because [tex]\(25x^2 - 1\)[/tex] can indeed be factored as [tex]\((5x + 1)(5x - 1)\).[/tex]
Therefore, the best reflection of Jason's answer among the given options is option H: [tex]\((5x + 1)(5x - 1)\).[/tex]
complete question given below:
Jason was asked to factor 25x^2-1 on his algebra test. Which of the following could best reflect Jason's answer?
F. (5x-1)(5x-1)
G. (5x+1)(5x+1)
H .(5x+1)(5x-1)
J .Prime
solve for x: 12x-20=6(x-20)-9x
Answer:
Step-by-step explanation:
12x-20=6(x-20)-9x
Opening bracket
12x - 20 = 6x - 120 - 9x
Collecting like terms
12x - 6x + 9x = -120 + 20
15x = -100
Dividing by 15
15x/15 = -100/15
x = -20/3
x = - 6 2/3
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
12x - 20 = 6( x - 20) - 9x
pay attention to the brackets as you simplify.
Let's work on it:
12x - 20 = 6x - 120 -9x
Collecting like terms to further simplify the equation.
12x - 6x + 9x = -120 + 20
15x = -100
Let's make x the subject formula by dividing through by 15
Therefore:
x = -100 / 15
Divide through by 5
x = -20 / 3
Since nothing can easily divide through, we turn it to a mixed fraction
x = - 6 2/3
( Minus six whole number, two divided by three)
According to the histogram, how many people took the test?
Answer:
23
Step-by-step explanation:
you add all the numbers
You have 7 folders and you want to put the same number of pages in each folder if you have a total of pages how many pages will it be in each folder.
Answer:
7 in each folder for a total of 49 pages. 7x7=49
Step-by-step explanation:
You may put a number that is a multiple of 7 which divides in to seven folders pages evenly.
Final answer:
To determine the number of pages per folder, divide the total number of pages, which is 292,992, by the number of folders, which is seven. Each folder contains 41,856 pages.
Explanation:
The student has a total of 44,800mm shelf width, which converts to 292,992 pages at a rate of 6.54 pages/mm. To find out how many pages need to go into each of the seven folders, one would simply divide the total number of pages by the number of folders.
The calculation goes as follows:
Total pages / Number of folders = Pages per folder
292,992 pages / 7 folders = 41,856 pages per folder.
Each folder would therefore contain 41,856 pages.
Answer the image. Also, you don't need to explain your answer.
Answer:
5G/10
Step-by-step explanation:
N=2pt3q2
Make p the subject
Answer:P=N/(2t3q2)
Step-by-step explanation:
N=2pt3q2
Divide both sides by 2t3q2
N/(2t3q2)=(2pt3q2)/(2t3q3)
N/(2t3q2)=p
What is the vertex of the function f (x) = x2 - 10x?
(5,-25)
(5.-75)
(-5,75)
(-5,25)
Option A
The vertex is (h, k) = (5, -25)
Solution:
Given function is:
[tex]f(x) = x^2-10x[/tex]
The vertex form is given as:
[tex]y = a(x-h)^2+k[/tex]
where (h, k) is the vertexRewrite the equation in vertex form
[tex]f(x) = x^2-10x[/tex]
Complete the square for [tex]x^2-10x[/tex]
Use the form [tex]ax^2+bx+c[/tex] to find the values of a, b, c
a = 1 , b = -10, c = 0
Consider the vertex form of a parabola
[tex]a(x+d)^2+e[/tex]
Substitute the values of a and b into the following formula to find "d" :
[tex]d = \frac{b}{2a}\\\\d = \frac{-10}{2 \times 1}\\\\d = -5[/tex]
Find the value of "e" using the formula,
[tex]e = c - \frac{b^2}{4a}\\\\e = 0 - \frac{(-10)^2}{4 \times 1}\\\\e = -25[/tex]
Substitute the value of a, d, e into vertex form
[tex]a(x+d)^2+e\\\\1(x-5)^2-25\\\\(x-5)^2-25[/tex]
Set y equal to above equation
[tex]y = (x-5)^2-25[/tex]
Compare the above equation with vertex form
[tex]y = a(x-h)^2+k[/tex]
[tex]y = (x-5)^2-25[/tex]
We find, h = 5 and k = -25
Thus the vertex is (h, k) = (5, -25)
Answers quick!
Real-world problem as in write a question using the variables 0.75x-18.50=0.65x.
Answer:
0.75x-18.50=0.65x
0.65x-0.75x=-18.50
-0.10x=-18.50
x=0.0054054054
Step-by-step explanation:
Answer:
185
Step-by-step explanation:
A candy cost x dollars. It is known that a bottle of water costs 0.75 times more and a hamburger costs 0.65 times more than a candy. It is also known that a water bottle costs more than a hamburger for 18.75 dollars. Whats the price of a candy.
0.75x-18.5=0.65x
0.1x=18.5
x=185
Omg! A candy costs 185 dollars xD
The table shows values for functions f(x) and g(x) .
x f(x)=0.5x g(x)=−0.5x+1
−2 4 2
−1 2 32
0 1 1
1 12 12
2 14 0
What is the solution to f(x)=g(x) ?
Select each correct answer.
x=−2
x=−1
x = 0
x = 1
x = 2
Answer:x f(x)=0.5x g(x)=−0.5x+1
This implies that f(x)= 0.5 and
g(x)= -0.5x + 1
-0.5x + 1= 0.5
-0.5x= 0.5-1
-0.5x=-0.5
x= -0.5/-0.5
x=1
Step-by-step explanation:
Final answer:
To solve f(x) = g(x), set 0.5x equal to −0.5x + 1. Solve for x by combining like terms, which gives x = 1 as the solution.
Explanation:
To determine the solution to f(x) = g(x), we set the two functions equal to each other and solve for x.
The function f(x) is given by f(x) = 0.5x, and the function g(x) is given by g(x) = −0.5x + 1.
Setting f(x) equal to g(x), we have:
0.5x = −0.5x + 1
To solve for x, we'll combine like terms by adding 0.5x to both sides, which gives us:
0.5x + 0.5x = 11x = 1
When we divide both sides by 1, we get:
x = 1
So the solution to f(x) = g(x) is when x = 1.
If p = 19 then
what does the
following
expression:
(2p - 10) = 2
equals?
Answer:
14
Step-by-step explanation:
(2(19)-10)=2
(38-10)=2
(28)=2
÷2. ÷2
14