Answer:
Both are proportional, because as the value of x change (increases or decreases), the value of y changes (increases or decreases).
The first equation (y = 25x) could represent that amount of teachers per students. If x = teachers (let's say there is 1 teacher), then y = students (1 teacher would teach a class of 25 students).
The second equation (y = 5x + 25) could represent the amount of money you could earn babysitting. The starting/base amount would be $25, and you would earn $5 more for every hour you babysat.
Step-by-step explanation:
Anna is x years old and her sister, Jane is y years younger
What was the sum of their ages two years ago?
What will be the sum of their ages in 3 years?
How old was anna when Jane was born?
Answer:
Age of Anna = x years
Age of Jane i.e. Anna's sister = (x-y) years
a, What was the sum of their ages two years ago?
Solution,
Age of Anna two years ago = (x-2) years
Age of Jane two years ago = (x-y-2) years
Sum of their ages = x - 2 + x-y-2 = 2x - y -4
b. What will be the sum of their ages in 3 years?
Solution,
We have,
Present age of Anna = x years
Present age of Jane = (x-y) years
So,
Age of Anna after 3 years = (x+3) years
Age of Jane after 3 years = (x-y+3) years
Therefore,
Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6
c. How old was Anna when Jane was born?
Solution,
Here,
According to question,
Jane is y years younger than Anna
So, Anna was y years when Jane was born.
[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]
Let f(x) = 4x – 2 and g(x) = x + 1. Find the following function value.
(f - g)(-3)
Answer:
(f - g)(3) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 2
g(x) = x + 1
Step 2: Find
Find (f - g)(x)
Substitute: (f - g)(x) = 4x - 2 - (x + 1)Distribute -1: (f - g)(x) = 4x - 2 - x - 1Combine like terms: (f - g)(x) = 3x - 3Find (f - g)(3)
Substitute: (f - g)(3) = 3(3) - 3Multiply: (f - g)(3) = 9 - 3Subtract: (f - g)(3) = 6An apple tree can grow about 400 apples. Jake says that 13 apple trees can grow about 6,000 apples. Do you agree? Explain.
Answer: No. Since 13×400=5,200, 13 apple trees can grow about 5,200 apples. Jake's estimate of 6,000 is much higher than 5,200.
Answer:
you answered it
Step-by-step explanation:
you put no blah blah blah
help pls !! what is the value of K ?
2. The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the rectangle.
Answer:
The length = x = 15 unitsThe width = x-5 = 10 unitsStep-by-step explanation:
Let 'x' be the length of a rectangle
As the width of a rectangle is 5 units less than the length.
so
width of rectangle will be = w = x - 5 units
Area = 150 square units
Using the formula
Area = length × width
[tex]150=\left(x\right)\left(x-5\right)[/tex]
[tex]150=x^2-5x[/tex]
[tex]x^2-5x=150[/tex]
Subtract 50 from both sides
[tex]x^2-5x-150=150-150[/tex]
[tex]x^2-5x-150=0[/tex]
[tex]\left(x+10\right)\left(x-15\right)=0[/tex]
if
[tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+10=0\quad \mathrm{or}\quad \:x-15=0[/tex]
[tex]x=-10,\:x=15[/tex]
As length can not be negative. so
x = 15 units
Hence,
The length = x = 15 units
The width = x-5 = 15-5 = 10 units
–3t — 6t =
syplified
Answer:
-9t
Step-by-step explanation:
-3t -6t
using multiplication of signs
-×-=+
so add the numbers because they have the same
coefficient
-3-6= -9
so
-3t-6t=9t
Select all sides lengths x for the missing side of abc
Emile is a long-distance runner. He runs at a constant speed of six miles/hour. His goal is to run nine miles on each practice run, but he normally runs a distance that varies three miles more or less than that. Select the correct answer from each drop-down menu. The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_____. For each practice run, the minimum number of hours Emile runs is______ and the maximum number of hours he runs is ______.
Answer:
[tex]t=\dfrac{9\pm 3}{6}[/tex]
[tex]1\ \text{hour}[/tex]
[tex]2\ \text{hour}[/tex]
Step-by-step explanation:
s = Speed of Emile = 6 miles/hour
d = Distance traveled by Emile = [tex](9\pm 3)\ \text{miles}[/tex]
Time taken to find the minimum and maximum time Emile ran for is
[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{9\pm 3}{6}[/tex]
The required equation is [tex]t=\dfrac{9\pm 3}{6}[/tex]
The time taken is
[tex]t=\dfrac{9-3}{6}\\\Rightarrow t=\dfrac{6}{6}\\\Rightarrow t=1\ \text{hour}[/tex]
The minimum number of hours Emile runs is 1 hour.
[tex]t=\dfrac{9+3}{6}\\\Rightarrow t=\dfrac{12}{6}\\\Rightarrow t=2\ \text{hour}[/tex]
The maximum number of hours Emile runs is [tex]2\ \text{hour}[/tex].
Answer:
|6x – 9| = 3
1 Hour
2 Hours
Step-by-step explanation:
The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_|6x – 9|= 3_. For each practice run, the minimum number of hours Emile runs is__1 hour_ and the maximum number of hours he runs is _2 hour.
Alexa and her children went into a movie theater where they sell bags of popcorn for $8 each and pretzels for $5 each. Alexa has $45 to spend and must buy a minimum of 6 bags of popcorn and pretzels altogether. If x represents the number of bags of popcorn purchased and y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
One possible solution from the graph is selling 3 bags of popcorn and 4 bags of pretzel
What is inequality?
Inequality is the non equal comparison of two or more variables and numbers.
Let x represents the number of bags of popcorn purchased and y represents the number of pretzels purchased.
Hence:
8x + 5y ≤ 45 (1)
Also:
x + y > 6 (2)
One possible solution from the graph is (3, 4)
Find out more on inequality at: https://brainly.com/question/24372553
Can someone help me please
Answer:
What do you need to know?
Step-by-step explanation:
What is the domain of the relation?
Answer:
I am not certain but it's either the last one or second to last my bet is -4<x<4 but you can try I am not certain tho
what is the minimum----------------------------------
Answer: A (-2,5)
Step-by-step explanation:
Please help me ? Please
Answer:
Step-by-step explanation:
Which tables give sets of values that satisfy the linear function y = 2x – 6
Four friends attend a school play and pay $6.75 per ticket. Each also buys a Healthy Snack Bag sold by the Theater Club. If the friends spent a total of $37.00, how much did each Healthy Snack Bag cost, b? Write and solve an equation. (sorry about the wrong grade btw)
Answer:
$2.5
Step-by-step explanation:
Multiply 4 friends by $6.75 and find the product.
Subtract $27 from $37
Divide 10 by 4
Answer: $2.5
Step-by-step explanation:
Multiply 4 friends by $6.75 and find the product.
Subtract $27 from $37
Divide 10 by 4
PLEASE HELP, MATH, PLEASE
Solve for n: n+5/16 = -1
[tex]\tt Step-by-step~explanation:[/tex]
To solve for n, we have to isolate n. To do so, we move all the terms that are not n to one side of the equation, and leave n on the other side.
[tex]\tt Steps:[/tex]
Equation: n + 5/16 = -1
Subtract 5/16 on both sides to bring it to the right side of the equation.
[tex]\tt n+5/16-5/16=-1-5/16\\\\n=-\frac{21}{16}~or~-1\frac{5}{16}[/tex]
[tex]\Large\boxed{\tt Our~final~answer:~n=-\frac{21}{16}~or~-1\frac{5}{16} }[/tex]
Select all that apply.
A graph shows _____ in picture form.
variables
facts
color
statistics
sums
data
Answer:
Data
Step-by-step explanation:
Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pints of ice cream, what is the greatest number of guests that Carly can serve?
Answer:
he can only serve 2
Step-by-step explanation: since 3.5 plus 3.5 is 7.0 if you add one more it turns to 7.0 plus 3.5 10.5 so the greatest he can serve is two people
what is (9x+8)^2-54x+48y
Answer:
81x² + 90x + 48y + 64
Step-by-step explanation:
(9x+8)² = (9x+8)(9x+8) = 9x*9x + 9x*8 + 8*9x + 8*8 = 81x² + 72x + 72x + 64
= 81x² + 144x + 64
then:
(9x+8)² -54x+48y = (81x² + 144x + 64) -54x + 48y = 81x² + 90x + 48y + 64
As I was sitting on a dock, I noticed that the wavelength of the waves were about 6 m long. The crest
of each wave would pass the front of the dock every 8 seconds. Find the frequency of the wave.
Answer:
IT IS C I BET YOU 6 AND 8
Step-by-step explanation:
The frequency of the wave is equal to: C. 0.125 Hertz
Given the following data:
Wavelength = 6 mTime period = 8 secondsTo determine the frequency of the wave:
A wave can be defined as a disturbance in a medium that progressively transports energy from a source location to another location without the transportation of matter.
Some of the characteristics associated with a wave are:
Speed.Amplitude.Wavelength.Time period.Frequency.Mathematically, the frequency of a wave is given by the formula:
[tex]Frequency = \frac{1}{Time\;period}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Frequency = \frac{1}{8}[/tex]
Frequency = 0.125 Hertz
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Which of the following is a RATE?
12 to 3
12 stickers to 3 students
Answer:
gfgfcvfvghcghccghcgcvchdcfgcfcfrtyc
Step-by-step explanation:
Choose the expanded form of this number.
504,969
Answer:
Step-by-step explanation:
500,000+0+900+60+9
At the end of a snow storm, Mia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. Let SS represent the depth of snow on Mia's lawn, in inches, tt hours after the snow stopped falling. The table below has select values showing the linear relationship between tt and S.S. Determine the rate at which the snow is melting per hour.
Answer:
the snow per hour is
Step-by-step explanation:
um wait what chart theres no info to awnser this sorry you may delete this awnser :( but im letting ya know
Answer:
1.5 is the answer.
Step-by-step explanation:
Parallel to the line y=-3x + 5 passes through (-4,5)
Answer:
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
Step-by-step explanation:
Given equation of line is:
[tex]y = -3x+5[/tex]
General form of slope-intercept equation of line is:
[tex]y=mx+b[/tex]
Comparing both we get
m = -3
The slope of two parallel line sis equal.
Let m1 be the slope of line parallel to given line, then
m1 = -3
Putting in general form
[tex]y = -3x+b[/tex]
Putting (-4,5) in equation
[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]
Putting in the general form, we get
[tex]y = -3x-7[/tex]
Hence,
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
(a) Solve 5x - 2 = x + 8
Show clear algebraic working.
Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf 5x-2=x+8 [/tex]
interchange both sides[tex]{:}\longrightarrow[/tex][tex]\sf 5x-x=8+2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 4x=10 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {10}{4}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {5}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=2.5 [/tex]
The weight of an adult beluga whales is known to have a normal distribution with a mean of 1800 pounds in a standard deviation of 300 pound. What is the probability of randomly catching adult beluga whale that weighs between 2000 pounds and 2500 pounds?
Answer:
.2427
Step-by-step explanation:
If you don't need to show your work:
TI84 calculator:[2nd][vars][normalcdf][lower:2000][upper:2500][μ:1800][σ:300}[enter][enter]
P÷7 when p=42..................
Kaylie and Juan are in a Dance-a-thon. Contestants rest for the same amount of time every hour. Kaylie rests for 22 minutes in 4 hours. How long did they rest in 28 hours? Find the unit rate.
Answer:
154 mins or 2 hour and 34 mins
Step-by-step explanation:
Step 1:
22 : 4 Ratio
Step 2:
22 : 4 = x : 28 Equation
Step 3:
4x = 616 Multiply
Step 4:
x = 616 ÷ 4 Divide
Answer:
x = 154
Hope This Helps :)
A square lawn has a area 98ft a spin keeper placed at the center of the lawn sprays water in a circular pattern that just covers the lawn what is the radius of the circle
Answer:
Step-by-step explanation:
Given the area of the square as A = 98ft²
The side length of the square will be equivalent to the diameter of the circle.
First we need to get the length of the square.
Area of a square = L^2
98 = L²
L = √98
L = 9.89 ft
Hence the diameter of the circle is 9.89 ft
radius = diameter/2
radius = 9.89/2
radius ≈ 4.95 feet
Hence the radius of the circle is approximately 4.95 feet
3x+4y=2, find 27x•81v
A particle moves along a straight line with the equation of motion s = t^{5} - 2 t^{4} Find the value of t (other than 0 ) at which the acceleration is equal to zero.
Answer:
t = 8/5
Step-by-step explanation:
I'm assuming the equation given is the velocity of the particle
Derive the equation
[tex]5t^4 - 8t^3[/tex]
Set it equal to 0 & solve for t
[tex]0 = 5t^4 - 8t^3\\8t^3 = 5t^4\\8 = 5t\\\frac{8}{5} = t[/tex]
The value of time at which acceleration is zero is required.
The required value of [tex]t=1.2\ \text{s}[/tex]
The function of motion is
[tex]s=(t)^5-2t^4[/tex]
Differentiating with time we get velocity
[tex]s'=5t^4-8t^3[/tex]
Again differentiating with time we get acceleration
[tex]s''=20t^3-24t^2[/tex]
Now acceleration [tex]s''=0[/tex]
[tex]0=20t^3-24t^2\\\Rightarrow 20t^3=24t^2\\\Rightarrow t=\dfrac{24}{20}\\\Rightarrow t=1.2\ \text{s}[/tex]
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