Graphs of proportional relationships visually depict how two or more variables are interrelated using line graphs, pie graphs, and bar graphs. Line graphs show direct relationships with a constant rate of change, pie graphs represent portions of a whole, and bar graphs compare quantities through the height of bars.
Explanation:When interpreting graphs of proportional relationships, it's essential to recognize that these graphs illustrate how two variables correlate with one another. In line graphs, a straight line that passes through the origin indicates a direct proportionality, meaning as one variable increases, the other increases at a constant rate. For instance, if a line graph shows the relationship between hours worked and income earned, the line's slope denotes the rate of earning per hour, showcasing a proportional increase in income with more hours worked.
Pie graphs are used to represent how a whole is divided into parts, with the size of each 'slice' showing the percentage of the total. An example could be a budget allotment where each slice represents what percentage of the budget is spent on specific categories, like marketing or research and development.
Lastly, bar graphs can also indicate proportional relationships through the height of the bars. For example, if a bar graph displays the population sizes of different countries, each bar's height is proportional to the population of that country. When bars are segmented, they can show subgroups within that population, such as age demographics or income brackets.
can someone please solve the problem is in the picture
Answer:
Y-intercept=6
Multiplier =3
Equation y=3x+6
Step-by-step explanation:
We can find the slope of the line by
Slope=m= (y2-y1)/(x2-x1)
m=(6-3)/(0-(-1))=3
And using point slope formula of equation of straight line
Y-Y1=m(X-X1)
Taking any point on line
Y-3=3(X-(-1))
Y-3=3X+3
y=3x+6
y=3(x+2)
Which is greater 1 meter or 1 kilometer?
i need help
Answer:
1 kilometer
Step-by-step explanation:
1 kilometer = 1000 meters
Therefore, a kilometer is more than a meter.
Answer: 1 kilometer
Answer:1 km
Step-by-step explanation:
1km= 1000m
So 1000m >1m
nate is curious to learn how much elephants eat compared to the largest animal on Earth, the blue whale. He does some research and finda that a full-grown whatle eats about 1460000 pounds of krill per year Write and solve an equation
Answer:1460000 + X
Step-by-step explanation:
Answer:
y = 1.46 * 10⁶ x
Step-by-step explanation:
We can write the following equation:
Let x to represent the number of blue whales and,
let y to represent the total krill eaten by x blue whales per year
1'460,000 = 1.46 * 10⁶
y = 1.46 * 10⁶ x
Find the values of the variables and the measures of the angles
The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
Step 1:
The sum of all the angles in any triangle is equal to 180°.
We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.
So the angles of the triangle are [tex]3x,[/tex] [tex]4x-1,[/tex] and [tex]90.[/tex]
Step 2:
Now, we substitute all the angles to a sum of 180 to determine the value of x.
[tex]3x + 4x - 1 + 90 = 180.[/tex]
[tex]7x = 91, x = \frac{91}{7} = 13.[/tex]
So x = 13°. The angles are
[tex]3x = 3 (13) = 39, 4x-1 = 4(13) - 1 = 51.[/tex]
The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
3x + 4x - 1 = 90⁰
7x = 91
x = 13
Angles are = 39 , 51⁰
how do you find side a to a right triangle using pythagorean theorem?
Answer:
a^2 = c^2 - b^2
Step-by-step explanation:
With the pythagorean therom you have a^2 + b^2 = c^2
Therefore a^2 = c^2 - b^2 you get this by subtracting b^2 from both sides
Once you have all the numbers you can just get the square root of them and youll have what a is
On the number line, a bug A is moving in the positive direction from the point 0, and a bug Bis moving in the negative direction from the point 0. The speeds of both bugs are constant. Both leave 0 at the same time, and three seconds later A has reached 18 and B has reached –15.
If x is the point reached by A after t seconds, and y is the point reached by Bafter t seconds, express x and y in terms of t.
Answer:
[tex]x=st[/tex]
[tex]y=-5t[/tex]
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
so
The distance is equal to multiply the speed by the time
Let
s ----> the speed in units per second
d ---> the distance in units
t ---> is the time in seconds
BUG A
we have
[tex]d=18\ units[/tex]
[tex]t=3\ sec[/tex]
The speed is equal to
[tex]s=\frac{d}{t}[/tex]
substitute
[tex]s=\frac{18}{3}=6\ units/sec[/tex]
If x is the point reached by A after t seconds
then
Multiply the speed by the time
[tex]x=st[/tex]
[tex]x=6t[/tex]
BUG B
we have
[tex]d=-15\ units[/tex]
[tex]t=3\ sec[/tex]
The speed is equal to
[tex]s=\frac{d}{t}[/tex]
substitute
[tex]s=\frac{15}{3}=5\ units/sec[/tex]
If y is the point reached by B after t seconds
then
Multiply the speed by the time
[tex]y=st[/tex]
[tex]y=-5t[/tex] ----> is negative because B is moving in the negative direction
Answer:
x = 6t
y = 5t
Step-by-step explanation:
We know the distance formula:
D = RT
Where
D is distance
R is speed
T is time
Bug A went 18 units after 3 seconds, so the speed is:
18 = R(3)
R = 18/3
R = 6 unit/sec
Bug B went 15 units in 3 seconds, so the speed is:
15 = R(3)
R = 15/3
R = 5 units/sec
x is reached by A after 3 seconds, so
x = 6t
y is reached by B after 3 seconds, so
y = 5t
please help ty! I added extra points.
Hillary and Charlene both drove from City A to City B. At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h. Charlene drove at an average speed of 144 km/h and took 50 minutes. She arrived at City B at the same time as Hillary. Find the time Charlene left City A.
Solution:
Given that,
At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h
Charlene drove at an average speed of 144 km/h and took 50 minutes.
She arrived at City B at the same time as Hillary
Their distance is same
Find the ratio of speed
120 : 144
Reduce to lowest term
Hillary : charlne = 5 : 6
Find the ratio of time:
Since, speed and time are inversely propotional
Hillary : charlne = 6 : 5
Let time taken by Hiliary be 6t
Let time taken by charlene be 5t
Given that, Charlene took 50 minutes
Therefore,
5t = 50
t = 10
Thus,
time taken by Hiliary = 6t = 6(10) = 60
Thus hiliary took 60 minutes to reach
Find the time Charlene left City A
At 10 a.m., Hillary left City A
Difference between both their time = 60 - 50 = 10 minutes
Thus, Hilairy left city A = 10 am + 10 minutes = 10 : 10 a.m
Thus, Hillary left city A at 10: 10 AM
how much wrappping paper do you need to cover a box that is 18 inches by 15 inches by 3 inches
Answer:
Step-by-step explanation:
So to do this, you would find the surface area of a box. Since it is a rectangular prism, two sides will always have the same area and so there are 3 different areas. 18*15*2 = 540 and 18*3*2 = 108 and 3*15*2 = 90 and 90 + 108 + 540 = 738 inches
A manufacturer uses 3/4 yard of fabric to make each skirt. How many yards of fabric will the manufacturer use to make 4 skirts ? 7 skirts ? 9 skirts
Answer:
3 yards,5.25 yard,6.75 yards
Step-by-step explanation:
Given,
Each skirt required 3/4 yards fabric
Solution,
1 skirt required fabric =3/4 yards
4 skirts required fabric=4×3/4 yards=3 yards
7 skirts required fabric =7×3/4 yards=21/4 yards=5.25 yards
9 skirts required fabric=9×3/4 yards=27/4 yards=6.75 yards
To find out how many yards of fabric will be used, multiply the number of skirts by the amount of fabric needed for each skirt. For 4 skirts, 3 yards of fabric will be used. For 7 skirts, 5.25 yards will be used. For 9 skirts, 6.75 yards will be used.
Explanation:To find out how many yards of fabric will be used to make a certain number of skirts, we can multiply the number of skirts by the amount of fabric needed for each skirt. In this case, 3/4 yard of fabric is needed for each skirt.
So, to find out how many yards of fabric will be used to make 4 skirts, we can multiply 4 by 3/4:
4 x 3/4 = 12/4 = 3 yards.
To find out how many yards of fabric will be used to make 7 skirts, we can multiply 7 by 3/4:
7 x 3/4 = 21/4 = 5.25 yards.
To find out how many yards of fabric will be used to make 9 skirts, we can multiply 9 by 3/4:
9 x 3/4 = 27/4 = 6.75 yards.
In the figure shown, which pair of angles must be complementary?
Answer:
s and p
Step-by-step explanation:
s and p
there is a right angle side shown
so s and p are complementary
right angle triangle =90°
so angle √sqp
Answer:
PQT & SQT
Step-by-step explanation:
PQT and SQT
Because they should add up to 90
Devaughn is 15 years younger than Sydney. The sum of their ages is 73. What is Sydney’s age?
Answer:
Sydney is 44 years old
Step-by-step explanation:
Step 1: Make a system of equations
d = s - 15
d + s = 73
Step 2: Plug in s - 15 for d in the second equation and solve
s - 15 + s = 73
2s - 15 = 73 + 15
2s / 2= 88 / 2
s = 44
Answer: Sydney is 44 years old
Answer:
Sydney is 44. I think, hope this helps!
URGENT 10 POINTS
Mrs. Jones recorded the time, in minutes, she spends reading each day for two weeks. The results are shown. What is the IQR for each week?
Week 1 Week 2
81 50 63 58 39 72 104 62 54 110 72 68 34 79
A.
The IQR for Week 1 is 65, and the IQR for Week 2 is 76.
B.
The IQR for Week 1 is 63, and the IQR for Week 2 is 68.
C.
The IQR for Week 1 is 50, and the IQR for Week 2 is 54.
D.
The IQR for Week 1 is 31, and the IQR for Week 2 is 25.
Answer:D.
The IQR for Week 1 is 31, and the IQR for Week 2 is 25.
Step-by-step explanation:
Answer:
D.
The IQR for Week 1 is 31, and the IQR for Week 2 is 25.
What is the solution to
(2.4*10^11)/(1.2*10^9) using scientific notation
:
xfjgrtjsrjdtyj
erhergqerg3ergtaegqe
Please help!! Will give Brainliest
Answer:
86 square inches
86 in^2
Step-by-step explanation:
Base: 3 × 10 = 30
Rectangle Sides: 2.5 × 10 = 25 (×2 = 50)
Triangle Sides: 2 × 3 = 6 (÷2 ×2 = 6)
Add: 30 + 50 + 6 = 86
What is the 12th term of the geometric sequence
-4, -12, -36
Answer:
-708,588
Step-by-step explanation:
If you continue the sequence by multiplying each term by 3, you will eventually get -708,588 as the 12th term.
Create a word problem that could be used to describe 8x=48
Answer:
Alex goes to the shop and buys 4 times a number bananas (X). When he counts how many bananas he has he counts 48. How much is the number x?
Write the standard form of the equation of an exponential function Y equals 10^xthat has been reflected over the X axis shifted write three and down five
Answer:
[tex]y = - {10}^{x - 3} - 5[/tex]
Step-by-step explanation:
The parent exponential function given to us is
[tex]y = f(x)= {10}^{x} [/tex]
If this function is reflected over the x-axis, shifted right 3 units and down 5 units, then it becomes:
[tex]y = g(x) = - f(x - 3) - 5[/tex]
This implies that:
[tex]y = g(x) = - {10}^{x - 3} - 5[/tex]
where the negative multplier indicates reflection over x-axis, x-3, indicates shift to the right 3 units, and -5 indicates downward shift 5 units
A computer randomly selects a number from the given set 1, 2, 5, 10, 25, 30, 36 what is the probability that an even number is selected enter your answer as a fraction in simplest form in the box
Answer:
4/7
Step-by-step explanation:
Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.
Answer:
4/7
Step-by-step explanation:
Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.
What is the answer to x+4=4x-17
Answer:
x=7
Step-by-step explanation:
x+4=4x-17
4=3x-17
21=3x
x=7
Edwin fills 15 test tubes with a solution. Each test tube contains 150 milliliters of solution.
How many liters of solution in all is there in the test tubes?
A.2.25 L
B.22.5 L
C.225 L
D.2,250 L
Step-by-step explanation:
do 150ml*15 tubes is 2,250 ml
2,250/1000 is 2.25L (1L =1000ml is multiply by 1000)
There is 2.25 liter of solution in all tubes.
Edwin fills 15 test tubes.
Each test tube contains 150 millilitres of solution We have to find How many liters of solution in all is there in the test tubes
There are 15 tubes contain 150 milometers of solution
What is the condition for 15 tubes contain 150 milometers of solution?150ml × 15 tubes
Therefore we get,
[tex]150ml*15 tubes =2,250 ml[/tex]
we have convert 2250 ml into l
We know that
1L =1000ml
so divide 2250 by 1000 we will get,
[tex]2,250/1000 =2.25L[/tex]
Therefore there is 2.25 liter of solution in all tubes
To learn more about the unit conversion visit:
https://brainly.com/question/13016491
Can You Solve This?
6 = 2(1+2) =
Answer: 6 = 2(1+2), this is true.
Step-by-step explanation:
To solve this, 6 = 2(1 +2) =
This question is to proove that 2(1 +2) = 6
First we open the bracket:
(2 × 1) + (2 × 2)
Multiply 2 by 1 = 2
Multiply 2 by 2 = 4
2 + 4 = 6
I hope this helps.
Answer: hope this helps
6=2x3
6=6
If ABC ~ DEC, find the values of x and y. help me pleaseee!!!
Answer:
X = 8
Y = 35
Step-by-step explanation:
All you need to do to solve this problem is use the Pythagorean Theorem[tex](a^{2} +b^{2} =c^{2} )[/tex]
The leg of the triangle are A and B and C represents the hypotenuse. All you need to do is plug in the values into the equation and there u have it.
I have created an image for you to follow.
Complete the statement. Round to the nearest hundredth if necessary. 13 km = _ mi?
Answer: 8.08
Step-by-step explanation:
Simply know that 1 kilometer is about 0.62 miles, then multiply thay by 8.
Solve the equations. Show the solution sets on a number line. Check your answers. c 9k+3 =−4
Answer:
k = -7/9
Step-by-step explanation:
9k + 3 = -4
9k = -7
k = -7/9
On the number line just make a closed circle at -7/9. No line would be drawn, just the dot
-7/9 would be between 0 and -1, closer to -1
Answer:
k = -7/9
Step-by-step explanation:
If the equation is, 9k + 3 = -4, then;
9k =-4-3,
9k =-7,
k=-7/9
and on a number line just show a point with value -7/9, there is no inequality here
Which answer is right?
If 1 more than 5 times a number is 26, what is the number
To solve this problem, let's translate the given information into a mathematical equation and then solve for the unknown number.
The problem states that "1 more than 5 times a number is 26." We can represent the unknown number by a variable, let's use "x." The phrase "5 times a number" can be translated to "5x." Hence, "1 more than 5 times a number" becomes "5x + 1."
Now, according to the problem, this expression equals 26. This gives us the following equation:
5x + 1 = 26
To find the value of x, we need to solve this equation for x. Here are the steps to do it:
1. First, we need to isolate the term with x on one side of the equation. We can do this by subtracting 1 from both sides of the equation to get rid of the "+1".
5x + 1 - 1 = 26 - 1
This simplifies to:
5x = 25
2. Next, we need to solve for x by getting rid of the coefficient 5. We do this by dividing both sides of the equation by 5:
5x / 5 = 25 / 5
This simplifies further to:
x = 5
So the number we were looking for is 5.
To summarize, if 1 more than 5 times a number is 26, then the number is 5.
The local gasoline distributor just built a new storage tank. For safety reasons they need to enclose the tank within a circular fence. The radius of the tank is 6 feet and the walkway between the tank and the fence is 4 feet. How much fencing will they need to order to fence off the tank? Round to the nearest tenth>
Answer:
62.8 feet
Step-by-step explanation:
Radius of the fencing is:
6+4 = 10 feet
Circumference = 2×pi×r
= 2×pi×10
= 20pi
= 62.83185307 feet
Help memory withmthiss
Mary mixes white paint and blue paint in the ratio 2:3
She makes a total of 20 litres of paint.
How much more blue paint does she need to add to the mixture so that the ratio of white paint to blue paint becomes 1:7?
Answer:
44L
Step-by-step explanation:
Mary has 20 liters of paint that have white:blue ratio of 2:3. She wants to make a new mix by adding more blue paint until the ratio becomes 1:7. That means the volume of white paint of the old mid and new mix should be the same.
The volume for the second mix will be:
old mix white paint = new mix white paint
2/(3+2) * 20L = 1/(1+7) * V2
2/5 * 20L= 1/8 V2
8L= 1/8 V2
V2= 8L * 8
V2= 64L
If the new mix volume is 64L and old mix volume is 20L, then the blue paint needed to be added will be: 64L- 20L= 44L
A printer is printing photos, for every 6 photos, the printer takes 2 minutes