Write the linear equation that gives the rule for this table.
x y
3 13
4 14
5 15
6 16
Molly walks to Raven's house, which is 3 miles due east of her house. Then she and Raven walk to the library, which is 4 miles due north of Raven's house. Molly then walks home. If she averages walking 3 miles per hour, how long does Molly spend walking during her whole trip?
If Molly walks to Raven's house, which is 3 miles due east of her house. The distance that Molly spend walking during her whole trip is: 4 hours.
How to find the time ?First step is tom find the distance using the Pythagorean theorem
c² =a²+b²
c² =3²+4²
c² = 9+16
c= √25
c = 5
So,
Let x represent the time molly spent walking
3 miles 1 hour
12 miles x hour ( 3+ 4+ 5 = 12 miles)
x = (12×1)/3
x = 4 hours
Therefore the time is 4 hours.
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at a use car lot there are 6 cars and trucks the ratio of vehicles to cars is 14to6. Braden says the ratio 14:6 is equivalent to 6:8 is his reasoning correct? justify your reasoning
To determine if what Braden says is correct or not, we will remember how to determine equivalent ratios. It comes from the different ways to write the same ratio, or the same proportion, as a fraction. If we are able to show that a fraction is just a simplification of the other, than they are equivalent.
From this, let's simplify the fraction which is eq
Felipe rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 86 cents for each mile driven. Felipe had to pay $270.79 when he returned the truck. For how many miles did he drive the truck?
Answer:
421.4 miles
Step-by-step explanation:
Numner of miles= ($270.79-$17.95)/86 cents
= $252.84/$0.60
=421.4 miles
the question is 4 1/5 x 5/14
Answer:
3/2
Step-by-step explanation:
Simplify the following:
((4 + 1/5)×5)/14
((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:
((4 + 1/5)×5)/14
Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:
(((5×4)/5 + 1/5) 5)/14
5×4 = 20:
((20/5 + 1/5)×5)/14
20/5 + 1/5 = (20 + 1)/5:
(((20 + 1)/5)×5)/14
20 + 1 = 21:
(21/5×5)/14
21/5×5 = (21×5)/5:
((21×5)/5)/14
((21×5)/5)/14 = (21×5)/(5×14):
(21×5)/(5×14)
(21×5)/(5×14) = 5/5×21/14 = 21/14:
21/14
The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:
Answer: 3/2
Identify the next three numbers in this sequence : 2,8,4,16,12
Answer:
18, 14, 20
Step-by-step explanation:
Answer:
I got A 18,14, and 20
Step-by-step explanation:
PLZ CORRECT ME IF I AM WRONG PLZ AND THANK YOU
PLEASE ANSWER ITS DUE IN 5 MINUTES!! What is the are of the figure?
Answer
Cut out the shapes, and then multiply them.
Step-by-step explanation:
. Write the equation of a line with a slope of 4 passing through the point (3, 1). Write the
equation in slope-intercept form.
Answer:
y = 4x - 11
Step-by-step explanation:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) are any point on the line,m is the slope,and b is the y-intercept.We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:
1 = 4(3) + b
1 = 12 + b
-11 = b
Thus, the y-intercept is -11.
Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11
The answer is:
y = 4x - 11Work/explanation:
First, we will write the equation in point slope:
\(\sf{y-y_1=m(x-x_1)}\)
where m = slope;
(x₁,y₁) is a point on the line.
Plug in the data:
\(\sf{y-1=4(x-3)}\)
Simplify
\(\sf{y-1=4x-12}\)
Add 1 on each side
\(\sf{y=4x-12+1}\)
\(\sf{y=4x-11}\)
Hence, the equation is y = 4x - 11.Write the line equation passing through (-4,-1) and parallel to y=-1/2x+1
Answer:
\(y=-\dfrac{1}{2}x-3\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)
Given equation:
\(y=-\dfrac{1}{2}x+1\)
Parallel lines have the same slope.
Therefore, the slope of the line parallel to the given equation is:
\(m=-\dfrac{1}{2}\)
Substitute the found slope and given point (-4, -1) into the point-slope formula:
\(\implies y-(-1)=-\dfrac{1}{2}(x-(-4))\)
\(\implies y+1=-\dfrac{1}{2}(x+4)\)
\(\implies y+1=-\dfrac{1}{2}x-2\)
\(\implies y=-\dfrac{1}{2}x-3\)
Therefore, the equation of the line passing through (-4, -1) and parallel to the given equation is:
\(\boxed{y=-\dfrac{1}{2}x-3}\)
fine the difference between the greatest and smallest 1-digit odd number
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
conaider a regular 96-sided polygon exlain how to found your anser in orlder to get full credit
To make a regular polygon with 96 sides we can take a circle as a starting point and divide it into 96 equal sides.
How to create a regular polygon with 96 sides?To create a regular polygon with 96 sides, we must take into account that all its sides must be equal, so we can take a circumference as a starting point. In this case, the circumference has 360°, so we must divide this into 96 parts and the result would be the distance between the edges of the polygon.
360° / 96 = 3.75In this case, we must make a circle with a protractor and mark every 3.75°, when we have completed this procedure in the entire circumference we will have a regular polygon with 96 sides.
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4x3 = -5x - 21 solve for x
To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:
1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:
4x3 + 5x = -21
2. Factor out x from the left-hand side of the equation:
x(4x2 + 5) = -21
3. Divide both sides by (4x2 + 5):
x = -21 / (4x2 + 5)
So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.
94.
The equation for the supply curve in the below diagram is approximately:
P
30
20
10++
IN
Q
0
20
40
60
80
100
A. P= 4+1,0
B. P= 4+20
C. P=4+39
D. P= 4.30
Answer:
are you cheating again?
Step-by-step explanation:
cuz I wanna know the answer too
Customers at two clothing stores were asked about their color preferences in shirts. The responses of the customers at each store are summarized in the table.
Based on the information in the table, which statement best describes the customers' preferences on shirt colors?
A. At both stores, more customers prefer white shirts than shirts in either of the other two colors.
B. At store 2, the same number of customers prefer blue and black shirts.
C. At both stores, fewer customers prefer blue shirts than shirts in either of the other two colors.
D. At store 1, more customers prefer either blue or black shirts than white shirts.
Answer:
A
Step-by-step explanation:
By the process of elimination, A would have to be the answer.
B states: At store 2, the same number of customers prefer blue and black shirts.
However the table shows that store 2 has 30 customers that prefer blue shirts and 15 prefer black.
C States: At both stores, fewer customers prefer blue shirts than shirts in either of the other two colors.
Store 1 has 15 customers who prefer blue shirts, and 25 black, 50 white. While store 1 is accurate because 15 is fewer than 50 and 25, store 2 has 30 customers that prefer blue, and 45 white, 15 black. Store two has fewer customers prefer black shirts, not blue.
D states: At store 1, more customers prefer either blue or black shirts than white shirts.
In store 1, most customers preferred white shirts than blue and black, proving this statement wrong.
A is correct because both stores have the highest numbers of customers that prefer white shirts-- numbers being 50 and 45, respectively. This is compared to Store 1's 15 and 25, and Store 2's 30 and 15.
does anyone know the answer?
Answer:
£0.60
Step-by-step explanation:
If each pack costs £1.59 and Nadia orders 15 packs,
then the total order before discount = 1.59 x 15 = £23.85
From the table given, we can see that for an order of £23.85 a 2.5% discount will be applied.
Divide £23.85 by 100 to get 1%: £23.85 ÷ 100 = £0.2385
Now multiply by 2.5 to get 2.5%: £0.2385 × 2.5 = £0.59625 = £0.60
Alternatively, the calculation in one expression is:
(1.59 × 15) × 0.025 = 0.59625
Which is an exponential function with a y-intercept of (0, 4)?
Help please
Answer:
D) y = 2ˣ + 3-----------------
The y-intercept of (0, 4) means the function has a value of 4 when x = 0.
Verify it with given functions:
A) y = 3x + 1
x = 0 ⇒ y = 3*0 + 1 = 1 ≠ 4, NoB) y = 4ˣ
x = 0 ⇒ y = 4⁰ = 1 ≠ 4, NoC) y = 1ˣ
x = 0 ⇒ y = 1⁰ = 1 ≠ 4, NoD) y = 2ˣ + 3
x = 0 ⇒ y = 2⁰ + 3 = 1 + 3 = 4, Yes50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
B
Step-by-step explanation:
SAS Similarity theorem: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Side 28 is congruent to side 11.2, whereas side 20 is congruent to side 8 and both angles are congruent. Therefore both triangles are similar.
Stuck on this one!!
Shelly believes the honor roll students at her school have an unfair advantage in being assigned to the math class they request. She asked 500 students at her school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received math class requested 125 215 340
Did not get math class requested 80 80 160
Total 205 295 500
Help Shelly determine if all students at her school have an equal opportunity to get into the math class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
Answer: No, there isn't equal opportunity
======================================================
Explanation:
Let's define the two events
A = person is on the honor rollB = person got the math class they requestedFrom the table, we see that
P(B) = 340/500 = 0.68
meaning that there's a 68% chance of picking someone who got the class they wanted (i.e. 68% of the people got the class they wanted)
------------
Now let's assume that the person is on the honor roll. This means we only focus on the "honor roll" column. There are 125 people here that got the class they wanted out of 205 honor roll students total.
So,
P(B given A) = 125/205 = 0.609756
which rounds to 0.61
This says that if a person is on the honor roll, then they have roughly a 61% chance of getting the class they want.
The chances have gone down from 68% to 61% roughly.
------------
It appears that being on the honor roll does affect your chances of getting into the class you want.
Therefore, all students do not have the same equal opportunity.
We would need to have P(B) and P(A given B) to be the same exact value for true equal opportunity to happen.
All students do not have equal opportunity.
From the table, we have the following parameters:
205 people are on honor roll call340 people got the math class requested500 people were surveyedThe above means that:
The probability that a person is on honor roll call is:
p1 = 205/500
p1 = 0.41
The probability that a person got the math class requested
p2 = 340/500
p2 = 0.68
Both probabilities are not equal.
Hence, it is true that all students do not have equal opportunity.
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A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.
The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.
What is the speed of the car in kilometers per hour and distance covered after 5 hours?Speed is simply referred to as distance traveled per unit time.
It is expressed as;
Speed = Distance ÷ time.
Given that the car is traveling at a rate of 30 meters per second.
First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.
1 kilometer = 1000 meters
1 hour = 3600 seconds
Hence;
Speed = 30m/s = ( 30 × 3600/1000 )kmh
Speed = 108 kmh
Next, the distance covered in 5 hours will be:
Speed = Distance / time
Distance = speed × time
Distance = 108 kmh × 5 h
Distance = 540 km
Therefore, the disatnce covered is 540 kilometers.
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Solve for X 3x - 5X + 8x + x = 42
7
8
6
Answer:
x = 6
Step-by-step explanation:
3x-5x+8x+x = 42
7x = 42
x = 6
X^3+8 divided by x+2
Answer: x^2+4
Step-by-step explanation:
Answer:
x^2 - 2x+4
Step-by-step explanation
find the product 6 * 1/3
Answer:
2
Step-by-step explanation:
Reduce the numbers with the greatest common factor which is 3
So.. 2
50 POINTS!!!!
A composite figure is represented in the image. A six-sided composite figure. A vertical line on the left is labeled 4 meters. The base is labeled 9 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 3 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 3 meters labeled. What is the total area of the figure?
Answer:
4.6 inches
Step-by-step explanation:
i believe. IM SORRY IF IM WRONG!!
If this portion leads to two segments that come to a point, and from that point, there is a height of 3 meters labeled. The total area is 45 square meters.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Here, we have,
Since the rectangle has a length of 4 meters and a width of 9 meters we need to find the area of rectangle
Area of rectangle = length × width
Area of rectangle = 4 m × 9 m
Area of rectangle = 36 m^2
Since the triangle has a base of 6 meters (9 meters - 3 meters o) and a height of 3 meters we need to find the Area of triangle
Area of triangle = (1/2) × base × height
Area of triangle = (1/2) × 6 m × 3 m
Area of triangle = 9 m^2
Now let find the total area of the composite figure
Total area = Area of rectangle + Area of triangle
Total area = 36 m^2 + 9 m^2
Total area = 45 m^2
Therefore the total area of the figure is 45 square meters.
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Please help, I’ll mark your answer as brainliest.
Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
What is a sound wave?When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.
When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.
Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.
Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
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b) In a group of 1,100 youths, each uses smart phones, either I-phone or Samsung or both or neither, 150 of them use only I-phone, 770 of them use Samsung and 900 use only one of these two smart phones. (i) Find the number of youths who use both of these smart phones. (ii) Find the number of youths who use neither of these smart phones.
During a promotion at Dale's Donuts, customers received
Answer:
divide 528 by 88 and you will get 6
therefore, each person will receive 6 donuts :)
Step-by-step explanation:
- What is the value of x? (x+4) (16)
Answer:
well how many times does nvm i think it -1 but om not sure
Step-by-step explanation:
im sorry
-3n+.5(6+10n)=.25(8n+12)
Answer:
the correct answer is: n ∈ R
Given the function f(x) = 6x + 1 and the linear function g(x), which function has a greater slope?
image shows : positive linear function increasing through 2 comma 3 and 3 comma 7
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
Answer:
f(x) has a greater slope.
Step-by-step explanation:
The slope of the image line
= difference in y coordinates / difference in x coordinates
= (7-3) / (3-2)
= 4.
The slope of f(x) = 6x + 1 is 6.
The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.
What is mean by straight line?
A straight line is a combination of endless points joined on both sides of the point.
Given that;
The function, f(x) = 6x + 1
And the function g(x) is a linear function which passes through the points (2 , 3) and (3, 7).
Since, The slope 'm' of any straight line is given by:
m = (y₂ - y₁) / (x₂ - x₁)
And, m = d/dx (f(x))
So, The slope of function f (x) will be;
f(x) = 6x + 1
M = d/dx (f(x))
M = d/dx (6x + 1)
M = 6
And, Slope of linear function which passes through the points (2 , 3) and (3, 7) is;
m = (7 - 3) / (3 - 2)
m = 4/1
m = 4
Thus, The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.
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explain why the statement x < 3 or > 5 cannot be written 5 < x < 3
Answer:
This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.
Step-by-step explanation:
x < 3 or x > 5
This means, x is less than 3, but greater than 5.
Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.