Please Help! The graph relates the height of the water in a tank y (in inches) to the volume of the water x (in gallons).
A. Is the relationship proportional?
B. Write an equation of the line and interpret the slope.
C. What is the height of the water in the tank when the volume is 250 gallons?
The graph is attached.
Answers
Answer:
I Believe it is B
Step-by-step explanation:
x=100 and y=6
A. The relationship is directly proportional.
B. The required equation is x = 20y
C. The height of the water is 12.5 inches.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the graph, we obtain two pair of points (1, 20) and (2, 40).
∴ Slope(m) = (2 - 1)/(40 - 20) = 1/20.
Now, 40 = 20(2) + b.
b = 0.
So, y = 20x is the required equation.
A. The relationship is directly proportional.
B. The required equation is x = 20y.
C. The height o the water when the volume is 250 gallons is 250 = 20y
y = 12.5 inches.
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About 5 - 6% of the student population has more than 3 pets. If the student population is 450 people, how many would have more than 3 pets?
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Answer:
23-27 students makes up the popuation of the 5-6%
Step-by-step explanation:
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search it up there is a lesson
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Answer:
PMDAS
Step-by-step explanation:
P - Parentheses
E - Exponents
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I hope this helped !!
A shark can swim 24 meters in 36 seconds. At this rate, how far, in meters, will the shark swim in 2 minutes?
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Answer:80 meters
Step-by-step explanation: 24 meters = 36 secs
2 mins = 120 secs
Cross multiply
24×120/36
= 80 meters
Hope I helped you!!
what is part 4???????
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1. C. 49+17
2. B. 79+16
3. A. 24 X 32
4. C. 17 X 27
PLEASE HELP NO TROLLS
3. Find the measure of angle A.
Answers
Answer:
35
Step-by-step explanation:
Since this triangle is a 90 degree angle, all you'd have to do is subtract 55 from 90 and you've got you answer.
Please help answer the question :)
Answers
7x+78 - 142=6x+73
7x-6x=73-78+142
×=137
so sam wrote
6x+73
822+73
=895 lines
hannah wrote
7x+78
959+78
1037
verify
1037
-895
= 142
hope it helps
Answer: 895
Step-by-step explanation: yeet and skurt
Help.......?!!?!/1?!
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Answer:
I think 157 pavers
Step-by-step explanation:
I may be able to help with number 10, if the trees are to be decorated with a ring of decorative pavers then we have to find the circumference, if the radius is 5 then using the circumference formula, 2×3.14(pi)×the radius, you'll get 31.4 and since there is 5 trees to be decorated then multiply 31.4 times 5 which will give you 157 feet of pavers to surround all five trees. I apologize if it is incorrect.
2. Suppose you are a new employee. You notice that each payment option describes a sequence and decide to use rules to help determine which option to take.
(a) Determine the iterative rule for each sequence. Show your work.
(b) Your friend trusts your tables in Problem 1, but wonders if you wrote the iterative rules correctly. Show two calculations to convince your friend that both your rules work.
3. Consider the iterative rules you wrote in Problem 2.
(a) Explain why the rules are functions.
(b) Your friend says that because the rules are functions, they can be graphed and must have y-intercepts. How would you respond to your friend’s comment?
(c) Your friend uses your rules to determine the outputs when the inputs are 18.5. Explain why her outputs are meaningless in this situation. What would you tell her about the inputs she can use?
>THESE ARE NOT MULTIPLE CHOICE QUESTIONS!
Will give brainliest to anyone who answers all letters of both questions.
Answers
I only solved Option A in this answer, I think you needed to do both. You can do Option B in the same way!
2.
(a) You're supposed to find the pattern here. Use the slope-intercept form of the equation of a line. y=mx+b. In this situation, x is the week, and y is the amount paid. If you wanted, you could use whichever variables you wanted, of course. Basically, you need to find the slope, represented by m, which is the amount the amount paid increases by each week, and the y-intercept, b, which is the "amount paid" at week 0. (The y-intercept doesn't really make sense in this situation, but we'll get to that later.) You can use the formula m=(y2-y1)/(x2-x1). (x1,y1) and (x2,y2) are the input/output pairs. The x-coordinate is the week, and the y coordinate is the amount paid. Because the weeks are incrementing by 1, x2-x1=1. Because of this, you can just subtract the values and find out the slope is 50/week. After that, to complete the rule, you need to find the y-intercept. If the amount paid is 200 on week 1, and the amount paid increases by 50 each week, then you should be able to work backwards. 200-50=150
Another way to think about it is by plugging your points into the incomplete rule. Let b represent the y-intercept. Plug in the values for week 1 and solve for b.
Your work would probably look something like:
m=(y2-y1)/(x2-x1)
(x1,y1)=(1,200)
(x2,y2)=(2,250)
m=(250-200)/(2-1)
=50/1
=50
y=50x+b
200=50(1)+b
200=50+b
b=200-50
=150
y=50x+150
(b) If I understand the question correctly, you have to show two instances that prove that your rule work. Just pick any two weeks, like weeks 3 and 4 and show how the rule is correct.
y=50x+150
x=3
y=50(3)+150
=150+150
=300
(This is the same value that's in the chart, which proves that the rule works. Do the same thing with another week.)
3.
(a) The rules are functions because each input has only one output. You can test this out, it's true.
(b) So we did have to find the "y-intercept" earlier. But you have to look at the domain. There won't be any amount paid on Week 0, payment starts at Week 1. So you would have to respond that yes, they can be graphed, but there's no y-intercept; the graph starts at week 1. Aditionally, there are only data points at the integer values of x. Look at part c.
(c) The outputs are meaningless because you're counting the time by weeks. There won't be any amount paid in the middle of the week, so she can only use integer inputs.
I hope this helps!! This is my first time answering a question on here.
A pair of shoes originally cost $60. If they are on sale with a mark-down of 25%, how much do they cost now?
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if u were discounting something, you would do ( .discount amount x original price ) - original amount! you will get a “-“ with the answer, just remove the “-“!!
how to interpret the meaning of a slope of -1.6
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Can I please get an explanation and answer for this problem.
Answers
Answer:
132 degrees
Step-by-step explanation:
This is because if you have a 90 degree angle than the angles connected to it will be equal
To solve this, first look at the information we're given. We know that the shape the missing angle is part of is a triangle, so therefore, the sum of the interior angles will always be 180 degrees. There is a right angle inside of the triangle. One of the exterior angles is 132 degrees.
The first thing we can see from this is that the two interior angles which are not right angles must add up to 90 degrees. Since the sum of all the interior angles is 180 degrees, and there is already a 90 degree angle, the other two must add up to 90 degrees.
The next step would then be to find the other interior angle which is not the missing angle. We can do this because of the exterior angle.
A straight line always has a measure of 180 degrees. In this case, we can see that the line the exterior angle is resting on is straight, and the exterior angle + the other interior angle = the line. Therefore, 132 + the other interior angle must equal 180 degrees.
Subtract 132 from both sides, and you get the other interior angle has a measure of 48 degrees.
Now, to take that and figure out the missing angle.
We know that the angle with a measure of 48 degrees and the missing angle must add up to 90 degrees, as stated above.
48 + missing angle = 90
Subtract 48 from both sides, and you get the measurement of the missing angle is 42 degrees.
Find the missing dimension of the triangle.
Answers
Answer:
4.66 or 14/3
Step-by-step explanation:
Area of a triangle is (base × height)/2. They have given you the height and the area already, so:
14 = ( b × 6 ) / 2
28 = b × 6
4.66 = b
The base of the triangle is B = 4.667 feet or 14/3 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle be represented as A
Now , the value of A is A = 14 feet²
Let the height of the triangle be H = 6 feet
Let the base of the triangle be B
And , area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
14 = ( 1/2 ) x 6 x B
On simplifying the equation , we get
14 = 3B
Divide by 3 on both sides of the equation , we get
B = 14/3 feet
Therefore , the base of the triangle is B = 4.667 feet
Hence , the base of triangle is 4.667 feet
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If each person at the party eats 2/8 of a pound of cheese and there are 9 people at the party, how many pounds of cheese are needed for the party?
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Bobby bought 10 pencils. He only liked half his pencils. How many pencils did bobby like?
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Answer:
5 pencils.
Step-by-step explanation:
I divided 10 by 2.
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Answer:
I think it might be 1 cup because I added all of the water which was 3 cups and divided it by 3 which is 1
Answer:
The answer is 1 cups
Step-by-step explanation:
Find the GCF of the terms of the polynomial.
–18q^3 – 6q
A. 6
B. 6q
C. -6q
D. -6q^3
please answer WITH AN EXPLANATION thanks
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Here is the graph for one equation in a system of equations:
a. Write a second equation for the system so it has infinitely many solutions.
b. Write a second equation whose graph goes through (0,1) so the system has no solutions
c. Write a second equation whose graph goes through (0,2) so the system has one solution at (4,1)
Answers
1) The equation that has infinitely many solution is y = -8/11·x + 4
2) The equation of the graph that has no solution is y = -8/11·x + 1
3) The equation of the line that has only one solution is y = -1/4·x + 2
Step-by-step explanation:
1) The points on the graph are;
(0, 4), and (5.5, 0)
The slope of the line defined by the given two points, we have;
(0 - 4)/(5.5 - 0) = -40/55 = -8/11
the equation of the straight line graph in point and slope form, we have;
y - 4 = -8/11 × (x - 0)
y - 4 = -8/11·x
For the equation for the system that has infinitely many solution, we have;
y = -8/11·x + 4
2) For the equation whose graph foes through the point (0, 1) and the system has no solution, we have;
An equation that has no solution with the equation y = -8/11·x + 4, is parallel to y = -8/11·x + 4, and therefore, the slope are equal
Therefore, the equation whose graph foes through the point (0, 1) and the system has no solution, in point and slope form is given as follows;
y - 1 = -8/11 × (x - 0)
y - 1 = -8/11·x
The equation of the graph that has no solution is therefore;
y = -8/11·x + 1
3) For the equation of the graph that goes through the point (0, 2), and has a common solution with the system at (4, 1), we have;
The slope of the graph is (1 - 2)/(4 - 0) = -1/4
The equation of the line that has only one solution with the system in point and slope form is given as follows;
y - 2 = -1/4×(x - 0)
y - 2 = -1/4·x
The equation of the line that has only one solution in standard form is therefore;
y = -1/4·x + 2
The second equation for the system so it has infinitely many solutions is [tex]y=-\dfrac{3}{4}x+1[/tex] and the second equation whose graph goes through (0,2) so the system has one solution at (4,1) is [tex]\rm y = -\dfrac{1}{4}x+2[/tex] and this can be determined by using the point-slope form of the line.
Given :
The graph of the line that passes through the points (4,1) and (0,4).
The equation of the line that passes through the points (4,1) and (0,4) is given by:
[tex]\dfrac{y-1}{x-4}=\dfrac{4-1}{0-4}[/tex]
Cross multiply in the above equation.
-4(y - 1) = 3(x - 4)
-4y + 4 = 3x - 12
3x + 4y = 16
[tex]\rm y = 4-\dfrac{3x}{4}[/tex] --- (1)
a) The second equation for the system so it has infinitely many solutions is given by:
Multiply equation (1) by 2 in order to determine the second equation.
[tex]\rm 2\times \left(y = 4-\dfrac{3x}{4}\right)[/tex]
[tex]\rm 2y = 8 - \dfrac{3x}{2}[/tex]
b) The second equation that passes through (0,1) and has a slope of -3/4 is given by:
[tex](y-1)=-\dfrac{3}{4}(x)[/tex]
[tex]y=-\dfrac{3}{4}x+1[/tex]
c) The second equation whose graph goes through (0,2) so the system has one solution at (4,1) is given by:
[tex]\dfrac{y - 2}{x-0}=\dfrac{1-2}{4-0}[/tex]
Cross multiply in the above equation.
4(y - 2) = -1(x)
4y - 8 = -x
[tex]\rm y = -\dfrac{1}{4}x+2[/tex]
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I'm super confused, help.
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Answer:
5/6 = 21/35
Step-by-step explanation:
I hope this helps. I'm not sure if its correct
Answer:
i would go with C my guy
Step-by-step explanation:
Help me please hurry
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Answer:
Its 28
Step-by-step explanation:
Q[tex]3[/tex] = [tex]\frac{3}{4}[/tex] (n+1)
Have an amazing day
A rhombus has 10-in. sides, two of which meet to form a 30º angle. Find the area of the rhombus (Hint: Use a special right triangle to find the height.).
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Answer:
oof thats hard
Step-by-step explanation:
The perimeter of a square is 176 centimeters. If the square is dilated by a scale factor of 0.25, what is the length of each side of the new square?
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Answer:
11
Step-by-step explanation:
First we need to find the length of each side: 176/4 = 44
Then multiply that by the scale factor = 11.
Write an expression that is the product of TWO factors and is EQUIVALENT to
-2x - 10.
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Answer:
-2(x+5) is equivalent to -2x-10
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Answer:
9
Step-by-step explanation:
2x+3=3x-6
6+3 = 3x - 2x
x = 9
I hope im right!!
3+6
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3x-2x
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Answer:
where the actually question at?
Step-by-step explanation:
Help pls?
I need all of dem btw
