Answer:
122 students (Answer C)
Step-by-step explanation:
40 percent of the 305 total students comes out to 0.40(305 students), or
122 students.
This corresponds to answer C. 122 students play an instrument.
two cousin one is five years older. the sum of there age is 37. how old are they
Subtract the difference from the total, then divide by 2, that would be the age of the youngest, then add the difference to that for the age of the oldest.
37 - 5 = 32
32 / 2 = 16
The youngest is 16.
16 + 5 = 21
The oldest is 21.
The ages are 16 and 21.
200 = 16(6t - 13)
t = ?
Help!
Step 1. Divide both side by 16
100/16 = 6t - 13
Step 2. Dimplify 200/16 to 25/2
25/2 = 6t - 13
Step 3. Add 13 to both sides
25/2 + 13 = 6t
Step 4. Simplify 25/2 + 13 to 51/2
51/2 = 6t
Step 5. Divide both sides by 6
51/2/6 = t
Step 6. Simplify 51/2/6 to 51/2 * 6
51/2 * 6 = t
Step 7. Simplify 2 * 6 to 12
51/12 = t
Step 8. Simplify 51/12 to 17/4
17/4 = t
Step 9. Switch sides
t = 17/4
Kayli’s dad is 4 years less than 6 times Kayli’s age. Write a variable expression for the age of Kayli’s dad. Use x to represent Kayli’s age.
REALLY NEED HELP!
6x-4
hope this answers your question.
Final answer:
The variable expression for the age of Kayli's dad, in terms of Kayli's age (x), is 6x - 4, where x represents Kayli's age.
Explanation:
The question asks for a variable expression for the age of Kayli's dad, given that his age is 4 years less than 6 times Kayli's age. To create this expression, we first recognize that "6 times Kayli's age" can be represented as 6x, where x is Kayli's age. To account for "4 years less," we simply subtract 4 from this expression. Therefore, the age of Kayli's dad, in terms of Kayli's age (x), is represented by the variable expression 6x - 4.
Timmy writes the equation f(x) = 1/4x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2x – 2. How does the graph of g(x) compare to the graph of f(x)? The line of g(x) is steeper and has a higher y-intercept. The line of g(x) is less steep and has a lower y-intercept. The line of g(x) is steeper and has a lower y-intercept. The line of g(x) is less steep and has a higher y-intercept.
Remark
The best way to answer something like this is to actually graph both equations. I have done that for you below.
Red Line: f(x) = 1/4x - 1
Blue Line: g(x) = 1/2x - 2
Now look at the answers.
A: The first one is incorrect. You don't need the graph to tell you that. The larger the number in front of the x, the steeper the line. Put another way, the larger the slope, the steeper the line. The y intercept is lower however.
B is wrong. g(x) is steeper, but the y intercept is lower not higher than f(x) [Negatives do strange things].
C:The g(x) is steeper (we've said that a couple of times), and it has a lower y intercept.
D is correct.
E is just wrong. Both parts are incorrect.
The graph shows the amount of money Miguel earns after working x hours
Answer:
13
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
trust
Which sequence of similar transformations could map △ABC onto △A'B'C'?
dilation and reflection
dilation and translation
translation and rotation
translation and reflection
A dilation and a translation could have occurred to map [tex]{\Delta \;\text{ABC}}[/tex] to [tex]{\Delta \;\text{A''B''C''}}.[/tex]
Further Explanation:
Given:
The options are as follows,
(A). A dilation and a reflection
(B). A dilation and a translation
(C). A translation and a rotation
(D). A translation and a reflection
Explanation:
The reflection symmetry is defined as a line that divides the Figure into two equal parts.
Translation can be defined as to move the function to a certain displacement.
Rotation is defined as a movement around its own axis. A circular movement is a rotation.
A dilation and a translation could have occurred to map [tex]{\Delta \;\text{ABC}}[/tex] to [tex]{\Delta\; \text{A''B''C''}}.[/tex]
Option (a) is not correct.
Option (b) is correct.
Option (c) is not correct.
Option (d) is not correct.
Learn more:
If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard https://brainly.com/question/2479097.Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? https://brainly.com/question/1446243.Answer details:
Grade: High School
Subject: Mathematics
Chapter: Geometry
Keywords: sequence, similar, Transformation, reflection, dilation, rotation, translation, rigid, motion, rigid motions.
what would this be simplify (-10)^2
Note that when a number is to the power of 2, just multiply the number to itself once.
(-10)^2 = (-10)(-10)
(-10) x (-10) = 100
(Note that two negatives, when multiplied, will result in a positive answer)
100 is your answer
~Rise Above the Ordinary
A 6.7 kg object moves with a velocity of 8 m/s . What it’s kinetic energy ?
Answer:
The Correct answer to this question for Penn Foster Students is: 214.4 J
Step-by-step explanation:
I need help please!!
the first answer is correct
A veterinarian needs to know an animal's weight in kilograms if 20 lb is about 9 kg in a dog weighs 30 lb use a ratio table to find the dogs weigh in kilograms explain your reasoning
Answer:
13.5 kgs.
Step-by-step explanation:
Here we have to find conversion factor of lbs into kg.
For this we use the given information.
Given that the weight of a dog is 20 lbs and also 9 kg.
Hence we have conversion factor as
20 lbs = 9 kg
Or 1 lb =9/20 = 0.45 kg.
Using this, we find the 30 lb converted into kg.
For 1 lb, equivalent kg = 0.45
Hence for 30 lbs equivalent kg= 30(0.45) = 13.5 kg.
The table shows the rates at which Ajay and Tory are biking along the same trail.
Person: Rate:
Ajay: 200
Tory: 250
a. Suppose Ajay began the trail 325 meters ahead of Tory. Write a system of equations to represent the distance y each person will travel after any number of mimutes x.
Answer:
For Ajay , [tex]y=200x+325[/tex]
For Tory, [tex]y=250x[/tex]
Step-by-step explanation:
Formula to find distance = rate × time
Rate of Ajay = 200
Rate of Tory = 250
In x minutes
Distance travelled by Ajay = 200 ×x = 200x
Distance travelled by Tory = 250 ×x = 250x
But Ajay was already ahead by 350 meters.
So for Ajay, the distance y traveled in x minutes
[tex]y=200x+375[/tex]
For Tory
[tex]y=250x[/tex]
Answer:
The rates are:
Ajay : 200
Tory : 250
I assume those are in meters per minute.
Now, we suppose that Ajay began the trail 325 meters ahead, so if we put the zero in Tory position, we got:
Ajay position = 325 meters + 200*x meters
Tory position = 250*x meters
Where x is the number of minutes after they started to bike.
From this, we can compare their positions, and see in which minute x Tory position and Ajay position are the same.
325 + 200x = 250x
325 = 250x - 200x = 50x
x = 325/50 = 6.5 minutes.
So before of x = 6.5 minutes, Ajay is ahead. After x =6,5 minutes, Tory is ahead.
ms. dawson spent $28 for 8 notebooks. if each notebook sells for the same price, how much would she have to spend for 48 notebooks?
Answer:
She would have to spend $168
Step-by-step explanation:
Step one:
Divide 28 by 8 to find out how much one individual notebook costs.
28/8 = $3.50
$3.50(a)
a = amount of notebooks bought
Now multiply it by how many she buys
$3.50(48) = $168
This means she spend $168 on 48 notebooks.
5j+s=t-2 solve for t
The answer is
T= 5j+s+2
t=5j+s+2. Your answer should be: t=5j+s+2.
Let's solve for t.
5j+s=t−2
Step 1: Flip the equation.
t−2=5j+s
Step 2: Add 2 to both sides.
t−2+2=5j+s+2
t=5j+s+2
51 is the product of diego’s score and 3
Translate into an equation
Answer:
3d = 51 is the desired equation; its solution is d = 17.
Step-by-step explanation:
Let d represent Diego's score. Then 3d = 51, or d = 17.
"51 is the product of Diego's score and 3" is written as 51=3x. We know this because "is" means "=", and "the product of" means multiplication. Since "Diego's score" is unknown, it would be a number x (multiplied by 3 would make it 3x). The answer to this is 17, because 51/3=17. :)
Mr. James deposits $450,000 at the end of each year for 10 years. What will be the value of his money at the end of 10 years at (a) 9%, (b) 10% and (c) 12%?
A. 405,000
B. 450,000
C. 540,000
max and his friend eke are comparing their ages. They figure out that if they double max's age from 3 years ago and add it to zee's current age, the sum is 26.If zeke is currently 8 years old determine how old max currently is.
Answer:
Max is currently 12 years old.
Step-by-step explanation:
Zeke's current age = 8 years
Lets take Max's current age as [tex]x[/tex] years.
Then Max's age 3 years ago = [tex]x-3[/tex]
Double Max's age 3 years ago = [tex]2*(x-3)[/tex]
Double Max's age 3 years ago + Zee's current age = 26
⇒ [tex]2*(x-3)[/tex] + [tex]8[/tex] = [tex]26[/tex]
=[tex]2*(x-3)+8=26[/tex]
=[tex]2x-6+8=26[/tex] (Simplifying the brackets)
=[tex]2x+2=26[/tex]
=[tex]2x+2-2=26-2[/tex][tex]2x=24
=[/tex][tex]x=12[/tex]
So Max's current age is 12 years.
Help! Geometry question.
Start with congruencies of 130°:
∠1 and 130° are vertical angles
∠2 and 130° are corresponding angles
∠5 and 130° are alternate exterior angles
m∠1 = m∠2 = m∠5 = 130°
∠7 and 130° are supplementary angles (which means their sum is 180°). So, ∠7 = 50°
Next, find congruencies of ∠7:
∠3 and ∠7 are vertical angles
∠4 and ∠7 are corresponding angles
∠6 and ∠7 are alternate exterior angles
m∠3 = m∠4 = m∠6 = m∠7 = 50°
Answer: B
How do you simplify?
You have to divide 27 by 15 to get your answer
Solve the equality, - (7c-18)-2c>0
7.5x+20y=900 models how many hours (x) and how many lawns mowed (y) Jon has to work in order to save $900. Give 3 combinations of hours worked and lawns mowed that result in $900.
Final answer:
The equation 7.5x + 20y = 900 can be solved for y by substituting different values for x to find three combinations that satisfy the equation: (0 hours, 45 lawns), (40 hours, 30 lawns), and (80 hours, 15 lawns).
Explanation:
The equation 7.5x + 20y = 900 models the relationship between the hours worked (x) and lawns mowed (y) for Jon to save up $900. To find combinations that result in $900, we can select different values for x or y and solve for the other variable.
Let x = 0 (no hours worked), then 7.5(0) + 20y = 900, which simplifies to 20y = 900. Dividing both sides by 20 gives us y = 45. So, one combination is (0 hours, 45 lawns).Let x = 40 (hours worked), then 7.5(40) + 20y = 900, which simplifies to 300 + 20y = 900. Subtracting 300 from both sides gives us 20y = 600, and dividing by 20 results in y = 30. Thus, another combination is (40 hours, 30 lawns).Let x = 80 (hours worked), then 7.5(80) + 20y = 900, which simplifies to 600 + 20y = 900. Subtracting 600 from both sides gives us 20y = 300, and dividing by 20 results in y = 15. Therefore, a third combination is (80 hours, 15 lawns).These three combinations represent different ways Jon can work hours and mow lawns to reach his goal of saving $900.
An angle is formed by:
A. any ray and any line
B. parallel lines
C. any two rays
D. two rays that share the same endpoint
The answer is choice D) Two rays that share the same endpoint
======================================
Here's a full breakdown of the four choices
A. False. If the ray and line aren't touching, then an angle can't be formed.
B. False. Parallel lines never cross. The same issue as before (in part A) comes up.
C. False. Again the rays need to meet up somehow.
D. True. If you have two rays that share the same endpoint, then they form an angle. Think of it like a pair of scissors. Each blade is a ray. The blades are joined at a common node to allow the blades to swing open or closed. You could have an angle formed by line segments or lines, but they would have to intersect in some way.
Option D. two rays that share the same endpoint, is correct.
An angle is formed by:
A. any ray and any line
B. parallel lines
C. any two rays
D. two rays that share the same endpoint
The angle can be defined as the one line inclined over other line.
When the line as same end points and
one of the line is inclined over other by some measure called as angle.
Thus the option D two rays that share the same endpoint is correct
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ2
which values are possible rational roots of 9x3+14x2−x+18=0 according to the rational root theorem
+-1/3
+-1/8
+-3
+-1/2
According to the Rational Root Theorem, the potential rational roots of the equation 9x^3 + 14x^2 - x + 18 = 0 are ±1/3 and ±3. The values ±1/8 and ±1/2 are not valid since their denominators are not factors of the leading coefficient, which is 9.
Explanation:The possible rational roots of the polynomial equation 9x^3 + 14x^2 - x + 18 = 0 can be determined using the Rational Root Theorem. This theorem states that any rational solution, expressed in the form of a fraction p/q, where p is a factor of the constant term and q is a factor of the leading coefficient, must be among these possible roots.
The constant term in this equation is 18, and its factors are ±1, ±2, ±3, ±6, ±9, ±18. The leading coefficient is 9, with factors of ±1, ±3, ±9. According to the Rational Root Theorem, we take each factor of the constant term and divide by each factor of the leading coefficient to find the possible rational roots. Thus, the potential rational roots are ±1/1, ±1/3, ±1/9, ±2/1, ±2/3, ±2/9, ±3/1, ±3/3, ±3/9, and so forth, including their negative counterparts.
From the options provided in the question, the potential rational roots that fit the criteria set by the theorem are: ±1/3, and ±3. The other options, ±1/8, ±1/2, do not satisfy the theorem as their denominators are not factors of the leading coefficient.
Learn more about Rational Root Theorem here:https://brainly.com/question/31805524
#SPJ2
Graph the relation. Is the relation a function? Why or why not?
{(–1, 1), (–2, 1), (–2, 2), (0, 2)}
Yes; there is only one domain value for each range value.
No; a domain value has two range values.
Yes; there is only one range value for each domain value.
No; a range value has two domain values.
{(–1, 1), (–2, 1), (–2, 2), (0, 2)}
In a function, each input has an output
Each domain has a range. In a function, range can be repeated but domain cannot be repeated. Same domain cannot have two range values.
Here domain is {-1, -2, -2, 0}
Range is { 1, 1, 2, 2}
Domain -2 is repeating so this relation is not a function
Answer : No; a domain value has two range values.
Answer:
The Answer is: No; a domain value has two range values.
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
−2x − x + 8
Will Mark Brainliest!
Answer:
-3x+8
Step-by-step explanation:
-x is the same as -1x
-2x plus -x is 3x
8 stays the same
Find the measure of z.
A. 80°
B. 83 °
C. 70 °
D. 87 °
z and 100 are on the same line so the total is 180
180-100=z
80=z
Please give Brianest
For the piecewise Function below, which of the following statments is true? Someone please help me
Remark
Let's just figure out what f(1) and f(3) are and what equation to use.
f(1)
f(1) is defined by the top condition. Look at the condition carefully. -3 ≤ x ≤ 1
So the value of f(1) is
(x + 1)² -1
(1 + 1)² - 1
2² - 1
4 - 1 = 3
f(3)
f(3) is governed by the middle condition. 1 < x ≤ 3
The value of f(3) is - x + 2 = - 3 + 2 = - 1
Conclusion
f(1) > f(3)
Comment
Both f(1) and f(3) are defined. You just have to look around to find out where. D is wrong.
We calculated both f(1) and f(3). f(1) is larger than f(3) so that is your answer.
What is one light year in seconds need it to written out in the conversion format
In one year there are 365 days of 24 hours. Each hour has 60 minutes and each minute is 60 seconds long. So, 60s/min x 60 min/hr x 24hr/day x 365 days equals 31,536,000s.
Hope this helps you with your answer. If it is incorrect, then I am sorry.
I'm going to do this in meters which will turn into km. which you can then convert into miles.
The speed of light is 2.998 * 10 ^8 meters /second
2.998*10^8m/s[3600 s/hr]*[24 hrs/day]*[365 days/year]
2.998*10^8 * 3600 * 24 * 365 = 9.45*10^15 m/year
9.45*10^15 m/year / 1000 m/km = 9.45 * 10^12 km/year
If you want miles, just divide this number by 1.6
9.45 * 10^12 / 1.6 = 5.91 * 10^12 miles / year. When you google this, the answer they give is 5.87 * 10^12 miles / yr. The difference is in where you round, the use of an approximate 1.6 and the length of a year.
What numbers are 3 units away from -1 on a number line?
Answer: 2 and -4
Step-by-step explanation:
tiffanyrenaew21 is not completely right. The correct answer would be 2 and -4. This is how you find your answer:
First you form an equation: |x-(-1)|=3
|x+1|=3 - - - - - - - - |x+1|=-3
Subtract 1 from both sides
x=2 - - - - - - - - - - x=-4
You will always have 2 answers as absolute value equations and inequalities can always be positive or negative. |positive or negative| = positive.
If |x|=-n, then there are no solutions, becuase absolute value can't be negative.
Evaluate. 8 - 2 · 3 + 7 =?
Answer:
9 is your answer
Step-by-step explanation:
Remember to follow PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction). Remember to also follow the left -> right rule.
Solve:
8 - 2 x 3 + 7
First, Multiply -2 and 3 together
8 + (-2 x 3) + 7
8 - 6 + 7
Next, follow the left to right rule, subtract.
(8 - 6) + 7
(2) + 7
Finally, Add
2 + 7
9
9 is your answer
~
I'm pretty sure the answer would be 9
Best of luck, Hope this helps if I'm wrong I'm terribly sorry
~Animaljamissofab ♥
Miguel rode his bike 20 miles in 2.5 hours
Miguel rode his bike 20 miles in 2.5 hours
(1)Starting information is , In 2,5 hours Miguel traveled 20 miles
(2)Now we complete the table
In 2,5 hours distance traveled = 20 miles
So in 1 hour distance traveled = [tex]\frac{20}{2.5} =8 miles per hour[/tex]
Time 0 0.5 1 1.5 2 2.5
Distance 0 4 8 12 16 20
(3) The graph is attached below
(4) Equation y = kx
y is the distance
x is the time
Distance = k (time)
We know speed is 8 miles per hour
So k is 8
y = 8k is the final equation
(5) k is the constant of proportionality
the value of k= 8
so 8 is the constant of proportionality.
Answer:
Step-by-step explanation:
1). Miguel rode his bike 20 miles in 2.5 hours.
2). Since Miguel rode his bike with the speed = [tex]\frac{20}{2.5}=8[/tex] miles per hour
So the table will be
Time 0 0.5 1 1.5 2 2.5
Distance 0 4 8 12 16 20
3). Graph for the given equation is attached.
4). Since y = kx represents the situation then for Distance y = 4 miles in time x = 0.5 hours
4 = k(0.5)
k = [tex]\frac{4}{0.5}=8[/tex]
Therefore, equation will be y = 8x.
5). Since y = kx
⇒ k = [tex]\frac{y}{x}[/tex]
Proportionality constant k represents the speed of Migual.