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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Related Questions
Would tripling the height of a triangular prism triple its volume? Explain.
Answers
Yes
By tripling the height, you would triple the volume.
Also , By tripling the radius, you would increase the volume to nine times the original
Answer: By tripling the height, you would triple the volume. By tripling the radius, you would increase the volume to nine times the original.
The table shows the ratio between the number of packets and the number of seeds of a certain plant contained in them: Number of packets Number of seeds 5 10 6 12 7 14 Which graph shows equivalent ratios? A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets, and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 1, 2 and 2, 4 and 3, 6. A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 1, 2 and 2, 2 and 3, 2. A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets, and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 1, 1 and 2, 2 and 3, 3. A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets, and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 2, 1 and 4, 2 and 6, 3.
Answers
Answer:
the answer is 2
Step-by-step explanation:2 is the answer
Based on the figure below, what is the value of x? (5 points)
A right angle is shown divided in two parts. The measure of the angle of one part is 50 degrees and the measure of the other part is 5x plus 15 degrees.
a 5
b 7
c 11
d 15
Answers
Answer: a. 5
Since the angle is right, we know it is equal to 90 degrees.
Using the information provided, we can set up an equation.
50 + 5x + 15 = 90
Simplifying the equation, we get:
5x + 65 = 90
Subtracting 65 from both sides, we get:
5x = 25
Dividing both sides by 5, we get:
x = 5
Pls help me answer the questions in the 2 photos
Answers
Answer:
first question: 248
2nd question: B, G, J
Step-by-step explanation:
might not be accurate i did this in less then a minute but I'm in 9th grade so u can trust me
Answer:
Its impossible to solve the question
Step-by-step explanation:
If the measurements of all the rectangles was given we could calculate the answer however some of them dont have the measurements making us unable to solve it
HELP ME OUT WITH THIS MATH QUESTION
Answers
Answer:
I believe it would be the second one i'm not exactly sure.
Step-by-step explanation:
Hope this help ;)
Error Analysis: A store is instructed by corporate headquarters to put a markup of 67% on all items. An item costing $6 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Part 1: The correct selling price is (Round to the nearest dollar as needed.)
Part 2: What was the manager's likely error?
A. The manager set the selling price at the markup.
B. The manager subtracted the markup from the cost instead of adding it.
C. The manager set the selling price at the cost.
D. The manager added the markup to the cost instead of subtracting it.
Answers
Answer:
To find the correct selling price, we need to first find the cost of the item plus the markup. We can do this by multiplying the cost of the item by the markup percentage: $6 * 67% = $4.02. However, since the question asks us to round to the nearest dollar, we can round this number down to $4.
Therefore, the correct selling price is $4.
The manager's likely error was that they set the selling price at the cost (option C).
Step-by-step explanation:
The correct selling price is $10 and the manager set the selling price at the markup so option (A) is correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost of item = $6
Markup = 67%
67% of $6 ⇒ 0.67 x 6 = $4.02
Add the markup in the cost = $6 + $4.02 = $10.02
Round to nearest dollars = $10.2 ≈ $10.
The manager put $4 which is a markup instant of the selling price of $10.
Hence "The correct selling price is $10 and the manager set the selling price at the markup".
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Which statement is true about the value of the expression below. (-2³)‐² Answer choices: it is less than -1. It is between-1 and 0. It is greater than 1. It is between 0 and 1.
Answers
Answer:
it is less than -1
Step-by-step explanation:
Answer:
Step-by-step explanation:
764
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answers
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
Gavin, the owner of an e-commerce site, buys flutes for $370 and then sells them on his site for $444. What is the mark-up percentage?
Answers
(please help asap, i'll give brainlyist to the most helpful answer. I need the whole problems answered.)
Solve using the standard algorithm.
1. 7,124÷26= 2. 8,961÷29=
3. 9,168÷24= 4. 9,120÷12=
Answers
1. 7,124÷26= 274
2. 8,961÷29= 309
3. 9,168÷24= 382
4. 9,120÷12= 760
How does the decimal point move when 50.2 is multiplied by 1102?
Answers
Step-by-step explanation:
50.2 = 5.02 × 10¹
1102 = 1.102 × 10³
so,
50.2 × 1102 = 5.02 × 1.102 × 10³×10¹ =
= 5.02 × 1.102 × 10⁴
so, the decimal point moves 3 positions to the right :
55,320.4
so basically you can just tell me where the boxes go and bam you get 20 points
Answers
Step-by-step explanation:
(2/3)(-4)(9) = -24
(5/16)(-2)(-4)(-4/5)= -2
(-3/4)(7/8)=-21/32
(2 3/5) (7/9)=91/45
(5/6) x (-2)(-4) x (-4/5) -> -2
(-3/4) x (7/8) -> -21/32
(2 3/5) x (7/9) -> 91/45
Help me please I just need help
Answers
Answer:
Step-by-step explanation:
utude por favor nickew
Answer: I dont know algebra but if we are adding its 40 probaly I dont even know
Ranger was given this expression to simplify. 4(2x – 5) What advice to simplify the expression would you give Ranger? Check all that apply.
1.) First combine the terms in the parentheses.
2.) This expression can be simplified by using the distributive property.
3.) The 4 will be added to each term inside the parentheses.
4.) The 4 will be multiplied to each term inside the parentheses.
5.) A simplified expression is equivalent to the original expression.
Answers
Answer:
It is B,D, and E
Step-by-step explanation:
I did the assignment on Edge 2021
Answer:
B,D,E
Step-by-step explanation:
There are many cones with a height of 12 inches. Let r represent the radius and V represent the volume of these cones.
a. Write an equation that expresses the relationship between V and r. Use 3.14 as an approximation for π.
Answers
Answer:
V= 3.14 r^2 12/3
Hope this equation helps!
V=3.14 r squared and 12/3
Triangles are congruent if their corresponding sides are?
Answers
Answer:
Triangles are congruent if their corresponding sides are congruent using SSS postulate.
Answer:
Step-by-step explanation:
Triangles are congruent if their corresponding sides are equal. If this is the case, each side of one triangle is matched perfectly by the corresponding side of the other triangle.
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A 25-foot magazine rack begins 20 feet south of the checkout desk and continues south. What are the coordinates of the beginning and end of the magazine rack? Explain or show how you got your answer. ANSWER CORRECTLY WITH AN EXPLANATION
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Answer:
I'll make this as fast as possible
(5,-20)
Step-by-step explanation:
Imagine that someone is sitting down to enjoy a cup of coffee or hot chocolate. Use your experiences to describe how heat flows from the drink to its surroundings. Be as detailed as possible.
Answers
Answer:
The thermal energy from the warm liquid transfers to the cup, and to the hands of the person who is holding it. Some of the liquid might also evaporate into the air (vapor). This is also called an exothermic process, because it releases heat.
jennifer has a square rug in her room that has an area of 81 square inches. find the side length of the rug and the length of the diagonal.
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HELP! WILL MARK BRAINLIEST IF CORRECT!
Answers
Answer:
battery costs $5, tax is $1.20, and so the total is $26.20
Step-by-step explanation:
HELP MEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
hopefully that helps
Area of the circle = (3.14)(6^2)
Area of the circle = (3.14)(36)
Area of the circle = 113.04
HEEELLPP PLLLZZZ T^T
Answers
Answer:
1= 64 2= 16,536
Step-by-step explanation:
Answer:
It is 16m² because 8 x 2 = 16. And 78 x 212 = 16,536km² because base x height = area.
Step-by-step explanation:
Please solve y3 + y3 +z3 = k
solve for k
Answers
Answer:
k = 2y^3 + z^3
Step-by-step explanation:
answer found by simplifying both sides of the equation, then isolating the variable.
A little help here? And can anyone explain this?
Answers
Answer:
D.
Step-by-step explanation:
According to the dot plot,
3 students spend 0.5 minutes brushing their teeth.
2 students spend 1.5 minutes brushing their teeth.
1 student spends 2.5 minutes brushing their teeth.
2 students spend 3.5 minutes brushing their teeth.
1 students spend 4 minutes brushing their teeth.
So, the number set will be: {0.5, 0.5, 0.5, 1.5, 1.5, 2.5, 3.5, 3.5, 4}
Median: The middle number in a set that is ordered from least to greatest.
In this example, the median is 1.5
Mean: The sum of all values divided by the number of values.
In this set there are 9 values so we’ll divide the sum by 9
In this example, the mean would be:
(0.5 + 0.5 + 0.5 + 1.5 + 1.5 + 2.5 + 3.5 + 3.5 + 4) ÷ 9
18 ÷ 9 = 2
If we compare the mean to the median we can see that the mean is greater because 2 > 1.5
Someone help me with this ASAP!!
Answers
Answer:
2.5, 14.75, Danny, 14 men
Step-by-step explanation:
which expression is equal to 7-3/5-4
A. 5^4/7^3
B. 7^3/5^4
C. (5/7)^3/4
D. (7/5)^3/4
E. (7/5)^4/3
Answers
Answer:
A, the first one is the answer 5^4/7^3
Step-by-step explanation:
if you solve both 7^-3/5^-4 and 5^4/7^3 it give you 625/343 for both of them
I NEED THIS RIGHT NOW
Answers
Answer:
x - y
Step-by-step explanation:
if x is greater than y subtraction will be the result with a positive number.
What property is used to expand 3(5 - 2x) to 15 - 6x?
answer choices
1.associative property
2.the distributive property
Answers
Answer:
I think you would use the distributive property
2. the distributive property
it goes 3×5-3×2x which is 15-6x
which correct postulate, theorem, property, or definition that justifies each of the following statements.
Answers are in picture
Thanks in advance :D
Answers
The figure formed by (−3, 2), (−4, 1), and (−1, −5) is translated 3 units right and 5 units up. What are the coordinates of the new figure?
(0, 7), (−7, −4), (2, −10)
(−6, −3), (−7, −4), (−4, −10)
(0, 7), (−1, 6), (2, 0)
(−6, −3), (−1, 6), (−4, 0)
Answers
Translating the figure involves chaging the position of the figure
The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)
The coordinates of the new figure
The coordinates are given as:
(−3, 2), (−4, 1), and (−1, −5)
The rule of translation 3 units right and 5 units up is:
(x + 3, y + 5)
So, we have:
(−3 + 3, 2 + 5), (−4 + 3 , 1 + 5), and (−1 + 3, −5 + 5)
Evaluate the sum
(0, 7), (-1 , 6), and (2, 0)
Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)