The graph shows the numbers of quarts of yellow paint that must be mixed with different numbers of quarts of red paint to make a certain shade of orange paint.
Based on the graph, write an equation that shows the relationship between the number of quarts of yellow paint, y, and the number of quarts of red paint, x, needed to make the shade of orange paint.
Enter your equation in the space provided. Enter only your equation.
Answers
Answer:
y = 0.4x
Step-by-step explanation:
The graph shows that the relation is linear, so we can model this relation with a linear equation:
y = ax + b
To find the value of the parameters, we should get two points from the line and use their coordinates in the equation.
From point (0,0), we have:
0 = a*0 + b
b = 0
From point (2,5), we have:
2 = 5a + b
a = 2/5 = 0.4
So the equation we want is:
y = 0.4x
Related Questions
Which of the following people would be considered an American citizens by birth ?
Answers
Adam went on a 54 \text { km}54 km54, start text, space, k, m, end text hike. He divided the distance traveled evenly over 666 days. How many meters did Adam walk each day?
Answers
Answer:
9000 metres
Step-by-step explanation:
He went on a 54 km hike. First, we have to find this distance in metres.
1 km = 1000 m
54 km = 54 * 1000 = 54000 m
He divided the distance evenly over 6 days.
To find how many metres he walked each day, we divide the total distance he hiked by the number of days spent. That is:
54000 / 6 = 9000 metres
He walked 9000 metres each day.
Drag numbers to the table so it shows a proportional relationship between x and y.
Answers
Answer:
0.8 4
3.2 16
12.8 64
Step-by-step explanation:
Proportional means that it will have a constant rate of change. If we divide 4/0.8 in the first example, we get 5. In the second example, we need to find x/3.2=5. 16/3.2=5. In the third example, we need to find 2 numbers divided by each other that equals 5. 64/12.8=5
Answer:
0.8 4
3.2 16
12.8 64
Step-by-step explanation:
A line graph has Number of Turns of a Large Tire on the x-axis, and Number of Turns of a Small Tire on the y-axis. For every 2 turns on a large tire, there are 10 turns on a small tire; 4, 20; 6, 30; 8, 40. Find the constant of proportionality from the proportional relationship shown on the graph.
Answers
Answer:
5
Step-by-step explanation:
If a question says an item is marked down by 35%
a) what percentage would you actually be paying of the original price
b) how would you write that as a decimal
**Both answer will be written as part of the answer part A/part B**
Answers
Answer:
a) 65%
b) .65
~ Please mark as brainliest :)
An electric motor pumps water into a pool at a rate of 500 liters per hour. After a tune up, its rate increases by x liters per hour. If the motor now takes 3 hours to pump 1800 liters, in which equation does x represent the increase in speed after the tune up?
Answers
Answer: 3(500+x)=1800
A cyclist travels 45 miles in 3 hours. What is the cyclist's speed?
Hint: Use the formula: d = r x t (distance = rate x time)
Remember that division and multiplication are INVERSE operations. So, 45 = r x 3
so you will have to divide the distance by the time to get the rate.
45 ÷ 3 to find the rate
A: 15 miles per hour
B: 12 miles per hour
C: 16 miles per hour
Answers
Answer:
15
Step-by-step explanation:
you would divide 45 and 3 to get 15 miles per hour
Graph the function and identify the domain and range. y=-4x^2
Algebra test unit:4 lesson:10
Quadratic Functions and Equations Unit Test Part 1
1.C, 2.B, 3.A, 4.C, 5.B, 6.A, 7.A, 8.B, 9.C, 10.B, 11.D, 12.A, 13.B, 14.B, 15.C, 16.C, 17.B, 18.C, 19.D, 20.B, 21.C,
Answers
Answer:
Domain: All real numbers, Range: All real numbers greater or equal to 0.
Step-by-step explanation:
A second order polynomial is a continuous function and therefore, domains is the set of all real numbers. Lastly, the range of the function according to the graph is all values of x greater or equal to 0. The positive leading coefficient of the polynomial indicates the existence of an absolute minimum.
The graph of function is attached below.
Domain of function is, (-∞ ,∞ )
Range of function is (-∞, 0)
Domain and range :The domain of function is defined as all input values to a function, for which function is defined.
Range of the function is output values to a particular input value.
Given function is,
[tex]y=-4x^{2}[/tex]
This open down parabola.
Domain of function is, (-∞ ,∞ )
Range of function is (-∞, 0)
The graph of function is attached below.
Learn more about the domain and range of function here:
https://brainly.com/question/1942755
Evaluate
√18/30= what numders
Answers
Answer:
0.77745966692... (a repetitive decimal)
Rounded to the nearest hundredth is 0.78.
Step-by-step explanation:
Divide 18/30 which is 0.6.
You can use the calculator to square root 0.6.
The finalized answer is 0.777459666924...
Whether you decide to round it is up to you.
tell whether the events are independent or dependent.Then find P(A and B)...You roll a number cube two times.Event A:You roll an odd number on the first roll.Event B:You roll a 4 on the second roll.
Answers
Answer:
Some probability situations involve more than one event. When the events do not affect one another, they are known as independent events. Independent events can include repeating an action like rolling a die more than once, or using two different random elements, such as flipping a coin and spinning a spinner. Many other situations can involve independent events as well. In order to calculate probabilities accurately, we need to know if one event influences the outcome of other events.
Answer:
The outcome of the first roll does not affect the probabilities of the outcomes for the second roll. Therefore, these events are independent.
Step-by-Step Explanation:
The events are independent since the person rolling had rolled a number cube twice, not switching it for the two events.
PLZ HELP ME I WILL GIVE BRAINLIEST....
A scientist wants to find the average mass of fish living in a large pond. So she will use the masses of a sample of fish from the pond to find the average mass.
Answer the questions below.
(a) Which unit(s) could be used for the unit of measurement? Check all that apply.
1.) minutes
2.) kilograms
3.) grams
4.) milligrams
5.) seconds
(b) Which of the procedures below would be the best way to find the average mass?
1.) Pick 2 fish from a shallow region of the pond and weigh each of them.
2.) Pick 42 fish from a shallow region of the pond and estimate their masses.
3.) Randomly pick 2 fish from the entire pond and estimate their masses.
4.) Randomly pick 42 fish from the entire pond and weigh each of them.
Answers
Answer:
A. 2, 3, and 4
B: 4
Step-by-step explanation:
Average mass is defined as, adding masses of all bodies and then divide by number of bodies.
(a). Kilograms, grams and milligrams
(b) Randomly pick 42 fish from the entire pond and weigh each of them.
(a). Since we are interested in the masses of the fish and not the time
so that, only unit of mass is to be considered.
Therefore, Kilograms, grams and milligrams are used to find the average mass.
(b). Since, Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen
Therefore, Randomly pick 42 fish from the entire pond and measure their masses. This will provide a representative sample with no bias.
Learn more:
https://brainly.com/question/18060320
Which equation demonstatres the distributive property?
A. 39 + 9 = 45
B. 39 + 3 = 39(12 + 3)
C. 36 times 9 = 9 times 36
D. (12 + 3)3 = 3(12 + 3)
Answers
Answer:
B
Step-by-step explanation:
The distributive property states that:
a(b + c) = ab + ac
Look at the choices:
A: 39 + 9 = 45
There's nothing of this form; in fact, there aren't even any parentheses, so eliminate A.
C: 36 times 9 = 9 times 36
This is saying 36 * 9 = 9 * 36. Again, there aren't any parentheses. Actually, this demonstrates the commutative property.
D: (12 + 3)3 = 3(12 + 3)
There are parentheses, but they're on both sides, so this can't be right, either. In fact, this is the associative property.
By elimination, the answer is thus B.
The rule of distributive property states that [ a(b + c) = ab + ac ].
So, we need to find an answer choice that contains that specific format.
Option A is incorrect because there is nothing to solve for on the right side.
Option B is correct because it contains the same format as the rule stated above.
Option C is incorrect because its the same as [ 36 * 9 = 9 * 36 ] and it's not in the same format as the rule.
Although Option D has half of the format in the rule, it doesn't have the other half containing what it looks like after the distributive property is appplied. So, this is incorrect as well.
Therefore, the answer is B.
Best of Luck!
Mathematical name of the shapes
Answers
Answer:
A: Triangular Prism B:Cuboid
Step-by-step explanation:
I hope this helps! ^_^
The results of a survey show that the percent of adults in a certain town who want to add bike lanes to a major roadway is in the interval (0.47, 0.63)
(a) What is the point estimate for the percent who want to add the bike lanes?
(b) What is the poll’s margin of error?
(c) If the town’s adult population is 75,783, what is the best estimate for the number of people who would support the bike lanes?
Answers
Answer:
a) [tex]\hat p =\frac{Upper+Lower}{2}= \frac{0.47+0.63}{2}= 0.55[/tex]
b) [tex] ME = \frac{Upper-Lower}{2}= \frac{0.63-0.47}{2}= 0.08[/tex]
c) For this case in order to find the number of people who would support the bike lanes we just need to multiply the estimated proportion by the total size and we got:
[tex] X = 0.55* 75783= 41680.65 \approx 41681[/tex]
Step-by-step explanation:
For this case we have an interval for the true proportion of adults in a certain town who want to add bike lanes to a major roadway:
[tex] 0.47 \leq p \leq 0.63[/tex]
Part a
For this case the point of estimate is given by:
[tex]\hat p =\frac{Upper+Lower}{2}= \frac{0.47+0.63}{2}= 0.55[/tex]
Part b
We can estimate the margin of error with this formula:
[tex] ME = \frac{Upper-Lower}{2}= \frac{0.63-0.47}{2}= 0.08[/tex]
Part c
For this case in order to find the number of people who would support the bike lanes we just need to multiply the estimated proportion by the total size and we got:
[tex] X = 0.55* 75783= 41680.65 \approx 41681[/tex]
Write the rule for the nth term of the sequence. Then find a11-3.5, 3, 2.5, 2, 1.5, ...
Answers
Answer:
a₁₁ = -3/2
Step-by-step explanation:
3.5; 3 ; 2.5; 2 ; 1.5..............aₙ
the nth termaₙ = -n/2 + 4
a₁₁ = (-0.5)(11) + 4
a₁₁ = -3/2
HELP PLS ASP WITH THE CORRECT ANSWER I WILL GUVE YOU 17 POINTS PLS ASP!!!! Drag and drop the angles pairs to correctly match their description
Answers
AOB and BOC adjacent angle that is neither comp. or supp.
AOC and COD supplementary
AOE and COD vertical
What two geometric properties do all polygons share?
Answers
Answer:
all sides equal and.
all angles equal.
Please help me with this question.
Answers
First, plug in the radius and height into the equation. V=1/3pi*4^2*9
Next solve. 3.14 x 16 x 9 = 452.16
Then you need to divide 452.16 by 3 to get 150.72
Answer:
150.72
Step-by-step explanation:
v=1/3 * 3.14 *4² * 9
v=1/3 * 3.14 * 16 * 9
v=1/3 * 50.24 * 9
v=1/3 * 452.16
v=150.72
What is the median for the following scores for Mr.smiths first test? 55,42,78,99,69,83,74,83,97
Answers
Answer:
78
Step-by-step explanation:
The median of a set is the middle number.
First, we have to put the numbers into numerical order.
42, 55, 69, 74, 78, 83, 83, 97, 99
Then, count the number of numbers, which is 9
Then, the middle of 9 is 5, because:
1, 2, 3, 4, 5, 6, 7, 8, 9
There are four numbers on either side of 5.
Lastly, find the 5th number in the set.
It is 78. So, the median of the set is 78.
Answer:
78
Step-by-step explanation:
to know the median you should first order the numbers from the smallest to the largest. that is
42,55,69,74,78,83,83,97,99
you take the number in the middle or if the number found in the middle are 2 then you add them up and divide them by 2 because they are 2. so in this case the number is only one which is 78 so that is the median.
PLZ HELP ME!! I’m If you horizontally shift the absolute value parent function, F(x) = |xl, left three
units, what is the equation of the new function?
Answers
Answer:
g(x) = |x+3|
Step-by-step explanation:
Within the parentheses, it'll go left or right, outside of it, it'll go up or down
Robert wants to buy lights around the edge of his deck the deck is 49feet and 26feet wide how many yards of lights does he need
Answers
Answer:
150 feet
Step-by-step explanation:
Assuming the deck is a rectangle, you need to multiply each side by 2 and add them together.
Answer:
50 yards
Step-by-step explanation:
Let l = length, w = width, and P = perimeter in feet. Let x equal perimeter in yards.
To solve this problem, we first need to find the perimeter of the deck.
To do so, use the formula 2l + 2w = P.
Since the deck is 49 feet long and 26 feet wide, plug in 49 for l and 26 for w.
2(49) + 2(26) = P
Evaluating 2*49 and 2*26, the equation becomes 98 + 52 = P.
Evaluating 98 + 52, the equation becomes 150 = P.
The next step in this problem is to convert feet to yards. We know that Robert needs 150 feet of lights. Since there are three feet in a yard, we can use the formula P = 3x to find the amount of yards of lights Robert needs.
Plugging in 150 for P, the equation becomes 150 = 3x.
Dividing both sides by 3, the equation becomes 50 = x.
Therefore, the final answer is 50 yards.
3х +2y = 12 + у
4y — 7t = 10
Solving systems of equations
Answers
numbers 3x + 2y = 12
y = x + 1
Substitution Method
Since y is already isolated in the second equation we can use that value, to substitute for y in the first equation.
3x + 2 (x + 1) = 12
3x + 2x + 2 = 12
5x = 12 − 2
5x = 10
x = 2
Substitute the computed value of x to the second equation to determine the value of y.
y = 2 + 1
y = 3
Elimination Method
3x + 2y = 12
x − y = −1
Multiply the second equation by 2 to eliminate
x or you can also multiply the second equation by 3 to eliminate y. However since it is easier to multiply by 2, I will follow the first method.
3x + 2y = 12
2x − 2y = −2
Adding the two equations eliminates the y variable.
5x = 10
x = 2
Substitute the computed value of x to the second equation to determine the value of y.
y = 2 + 1
y = 3
Solution Set:
(2,3)
Rafael is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 3 flavors, and 1 topping to choose from. How many different ice cream desserts could he order?
Answers
Answer:
9
Step-by-step explanation:
Multiply the number of sizes by flavors, the by toppings.
3*3*1
Which function best models the data?
y = 9,958(0.972)
y = 0.972(9,958)
y = 9,219x= 150
y = -150x + 9,219
Answers
Answer:
A. y= 9,958(0.972)
Step-by-step explanation:
Answer:
A. y= 9,958(0.972)
Step-by-step explanation:
How are the ratios 44 beats :1 min and 220 beats 5 min alike? How are they different?
Answers
Answer:
thay are because...
Step-by-step explanation:
they all are the same and they all ahbe comman features and taht is the reason behind it I hope this helped :)
A side of a square piece of cloth has a length of 12 inches what is the area of the piece of cloth
Answers
Answer:
144 inches squared
Step-by-step explanation:
multiply 12 by 12
Therefore, the answer is 144.
Evaluate the expression when a=-15 and b=-5 .
b+14
----------
3
Answers
Step-by-step explanation:
I'm not 100% sure but I believe the answer is 6 and 1/3
I need help with plotting these points
Answers
Answer:
look at the bar gragh, then take the year and then go to the x-axis in the ployt graph and take the tickets and alighn the two together so there is a plot
Step-by-step explanation:
It is easy
distance between (-3,1) (1,5)
Answers
Answer & Step-by-step explanation:
For this problem, we will use the distance formula.
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.
[tex]d=\sqrt{(1-(-3))^2+(5-1)^2}[/tex]
[tex]d=\sqrt{4^2+4^2}[/tex]
[tex]d=\sqrt{16 + 16}[/tex]
[tex]d=\sqrt{32}[/tex]
[tex]d=5.657[/tex]
So, the distance between (-3,1) and (1,5) is 5.657 units.
Select the condition for which it is NOT possible to construct a triangle.
A triangle with side lengths 4 cm, 5 cm, and 6 cm
A triangle with side lengths 4 cm, 5 cm, and 15 cm
A triangle with side lengths 4 cm and 5 cm and an included 50°angle
A triangle with angle measures 30° and 60°, and an included 3 cm side length .
Answers
Answer:
A triangle with side lengths 4 cm, 5 cm, and 15 cm
Step-by-step explanation:
In order to form a triangle with given side lengths, sum of any two sides must always be greater than the third side.
[tex]4+5= 9\ngtr 15\\[/tex]