The ratio table shows the depths of water in a fish tank for different numbers of gallons. Find the unit rate in inches per gallon. Give your answer in decimal form.
Answers
Answer:
0.5
Step-by-step explanation:
Related Questions
#10 plz explain I did it and got -8 and I know that's wrong
Answers
Factor out the common term 4
x+1/−4(1+x)
rearrange
1 + x / -4 ( 1 + x)
cancel out 1 + x
1 / -4
rewrite
-1/4
Decimal form -0.25
Hope this helps
complete a table for the rule y = x2 + 2. Use negative and positive values and 0 for x
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x | y
-2|6
-1 |3
0 |2
1 |3
2 |6
Table:
| x | y = x^2 + 2 |
|----|-------------|
|-3 | 11 |
|-2 | 6 |
|-1 | 3 |
| 0 | 2 |
| 1 | 3 |
| 2 | 6 |
| 3 | 11 |
let's complete a table for the rule [tex]\( y = x^2 + 2 \)[/tex] by plugging in various values of [tex]\( x \)[/tex], including negative, positive, and zero, and then calculating the corresponding values of [tex]\( y \)[/tex] .
Given the rule [tex]\( y = x^2 + 2 \)[/tex], we'll substitute different values of [tex]\( x \)[/tex] into the equation and solve for [tex]\( y \)[/tex]. Here's a step-by-step process:
1. Choose values for [tex]\( x \)[/tex]. Let's pick a range of values, including negative, positive, and zero, to get a good representation of the function.
2. Substitute each chosen value of [tex]\( x \)[/tex] into the equation [tex]\( y = x^2 + 2 \)[/tex].
3. Calculate the corresponding value of [tex]\( y \)[/tex] by performing the arithmetic operations.
4. Record the pairs of [tex]\( x \)[/tex] and [tex]\( y \)[/tex] values in a table.
Here's the completed table:
| [tex]\( x \) | \( y = x^2 + 2 \)[/tex] |
|---------|-----------------|
| -3 | [tex]\( (-3)^2 + 2 = 9 + 2 = 11 \)[/tex] |
| -2 | [tex]\( (-2)^2 + 2 = 4 + 2 = 6 \)[/tex] |
| -1 | [tex]\( (-1)^2 + 2 = 1 + 2 = 3 \)[/tex] |
| 0 | [tex]\( (0)^2 + 2 = 0 + 2 = 2 \)[/tex] |
| 1 | [tex]\( (1)^2 + 2 = 1 + 2 = 3 \)[/tex] |
| 2 | [tex]\( (2)^2 + 2 = 4 + 2 = 6 \)[/tex] |
| 3 | [tex]\( (3)^2 + 2 = 9 + 2 = 11 \)[/tex] |
This table shows the relationship between [tex]\( x \)[/tex] and [tex]\( y \)[/tex] for the given rule [tex]\( y = x^2 + 2 \)[/tex], covering a range of values for [tex]\( x \)[/tex] including negative, positive, and zero.
The length of the sides of a triangle are three consecutive integers. If the perimeter is 87, find the dimensions of the triangle. Show all work.
Answers
Since they are consecutive, that means they will all measure the same.
Hope this helps! :)
x+1 = midsized side length
x+2 = largest side length
Add up the three sides. Set the sum equal to 87 and then solve for x
(x)+(x+1)+(x+2) = 87
(x+x+x) + (1+2) = 87
3x+3 = 87
3x = 87-3
3x = 84
x = 84/3
x = 28
If x = 28, then
x+1 = 28+1 = 29
x+2 = 28+2 = 30
So the triangle has the three sides: 28, 29, 30
Check: 28+29+30 = 87
A welder orders argon gas and pure oxygen. The distributor requires a minimum order of $250. A cubic foot of argon gas costs $0.75 and a cubic foot of pure oxygen costs $0.50. To summarize the situation, the welder writes the inequality: 0.75a + 0.5p ≥ 250, where a is the number of cubic feet of argon gas and p is the number of cubic feet of pure oxygen. Which graph's shaded region shows the possible combinations of argon gas and pure oxygen the welder can buy?
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The first thing you should do in this case is to plot the straight line.
Next, you must evaluate ordered pairs of points in the given inequality to verify that the inequality is met.
The set of points that meet the inequality will be given by the shaded region.
Answer
See attached image.
Answer: Its the Last one
Step-by-step explanation:,,,, HOPE it helps :}
What is the factorization of the trinomial below? x3 - 10x2 + 24x
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Answer:
x³ - 10x² + 24x = x(x² - 10x + 24) =
x(x - 6)(x - 4)
A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approximate pi. 21.5 cm² 78.5 cm² 100 cm² 178.5 cm² Circle inscribed inside a square with outside shaded, one side labeled 10 cm
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Given the following three measures of angles or sides, determine if it is possible to construct a unique triangle, more than one triangle, or no triangle.
sides 5 inches, 8 inches, and 15 inches
A) no triangle
B) a unique triangle
C) more than one triangle
D) the answer cannot be determined
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I really hope this helps
Answer:
The answer is no triangle
Step-by-step explanation:
i put this answer on my test and i got it right.
A storage tank has a height of 10 feet and a radius of 3 feet. The tank is 1/4 full of oil. How much oil in cubic feet is currently in the cylindrical tank? Leave in terms of pi
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The amount of oil currently in the cylindrical tank is 45π cubic feet.
What is volume?Volume is the capacity of a solid object.
To calculate the capacity of the oil in the cylindrical tank, we use the answer below.
Formula:
V = πr²h/4........... Equation 1Where:
V = The volume of oil in the tankh = Height of the tankr = radius of the tank.From the question,
Given:
h = 10 feetr = 3 feetSubstitute these values into equation 1
V = π×10×3²/2V = π×5×9V = 45π cubic feetHence, the amount of oil currently in the cylindrical tank is 45π cubic feet.
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The volume of oil currently in the cylindrical tank that is 1/4 full is (90/4) cubic feet.
To determine how much oil in cubic feet is currently in the cylindrical tank when the tank is 1/4 full, we use the formula for the volume of a cylinder, V =
2h, where r is the radius and h is the height. In this case, the radius is 3 feet and the height of the oil will be 1/4 of the total height of the tank.
First, calculate the volume of the entire tank:
Vtotal = 2h = 2(10). Plugging in the values we get
Vtotal =
(3)2(10).
Since the tank is 1/4 full, the volume of oil in the tank will be 1/4 of the total volume: Voil = (1/4)Vtotal = (1/4)
(3)2(10) = (9/4)
(10) = (90/4)
.
Therefore, the volume of oil in the tank is (90/4) cubic feet.
What is the area of this figure?
Enter your answer in the box.
units²
Answers
Given is the irregular hexagon.
We can divide the given figure into two triangles and one rectangle, and then find areas of each, and then add all of them to find the final answer.
We can find the dimensions by counting the blocks on graph. Given two triangles are identical in shape with base (b=7) and height (h=2).
The area of triangle [tex] =\frac{1}{2} bh = \frac{1}{2} (7)(2) = 7 [/tex] squared units.
Area of two triangles = 14 squared units.
Rectangle has length (l) same as base (b) of triangle i.e. l=7 and width (w=4).
Area of rectangle = l × w = 7 × 4 = 28 squared units.
Total area = 14 + 28 = 42 squared units.
So, final answer is 42 squared units.
Answer:
[tex]42[/tex] [tex]units^2[/tex]
Step-by-step explanation:
A simpler and faster way of solving this problem is through Pick's Theorem.
The theorem states that the area of any given shape (Specifically polygons) on a grid is the number of internal points (every point inside the shape) added to the quantity of the number of boundary points (Every point that is exactly on a point of the grid and is a part of the perimeter of the shape) divided by 2. Take this quantity and subtract 1 and it shows like so,
[tex]A=I+\frac{B}{2}-1[/tex].
In this case, we see that there are 36 internal points and 14 boundary points. So in turn, we get
[tex]A=36 + \frac{14}{2}-1\\A=36+7-1\\A=43-1\\A=\boxed{42}[/tex]
Hence giving our desired result of 42 square units.
what is the area of the figure on the coordinate plane below?
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what point is on the graph of every direct variation equation
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This point is also known as the origin
The reason why is because every direct variation equation is of the form y = k*x
where k is some fixed number
If we plugged in x = 0 it leads to y = k*x = k*0 = 0. So (x,y) = (0,0)
In a direct variation equation, the graph passes through the origin (0,0). Every point on the graph can be represented as (kx, ky), where k is a constant.
Explanation:In a direct variation equation, the graph passes through the origin (0,0). This means that when x=0, y=0. Every point on the graph can be represented as (kx, ky), where k is a constant. For example, if the direct variation equation is y = 2x, the graph would pass through (0,0), (1,2), (2,4), (3,6), and so on.
A Number with a zero as an exponent is equal to 0
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Which angle measure in the triangle shown is the largest?
A.)
B.)
C.)
D.) Not Possible
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Therefore, I cannot provide an exact answer, however, I will try to help you with the concept.
For a triangle, the measure of each angle is proportional to the length of its opposite side.
This means that:
1- The largest angle is the angle opposite to the longest side
2- The smallest angle is the angle opposite to the shortest side
Since you are looking for the largest angle, pick the one facing the longest side
Some tips and tricks:
1- In a right angle triangle, we know that the hypotenuse is the longest side, therefore, the largest angle would be the right angle
2- In an obtuse triangle, the largest angle is simply the obtuse angle itself (the one whose measure is greater than 90)
3- In equilateral triangle, all three angles are equal
Hope this helps :)
Please put these in the correct order
Answers
The second tile goes to 8pq5
The third tile goes to 4p2q5
The fourth tile goes to 8p2q
What is the solution for the system of equations?
Use the substitution method to solve.
y=5−3x
5x−4y= −3
Enter your answer in the boxes.
Answers
Once you have an equation in one of these formats, you take the equation and input it into the value of its correspondent of the other equation.
In this case you have y= 5-3x and 5x-4y=-3.
You should have 5x-4(5-3x)=-3.
Note how the first equation is substituted for the y value of the second equation.
Next solve. First distribute, 5x-20+12x=-3. Combine like terms. 17x-20=-3. Separate the variable and constants by adding 20 to both sides.
17x-20+20=-3+20 -> 17x=17. Divide both sides by 17 to get x = 1.
Now we need to find y. Go back to the first equation and input your x value into it and solve. y=5-3(1) -> y=5-3 -> y = 2
You can check your answer by inputting both values into the second equation and solving. 5(1)-4(2)=-3 -> 5-8=-3 -> -3=-3
The answer is (1,2)
What is another way to write 5(n-3)
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hope it helps
please mark as brainliest
Rule start at 1/2, add 1/3
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Change 1/2 into 3/6 and 1/3 into 2/6 and add them together.
big points+ brainiest
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680 ÷ 17 = 40
The answer is D, 40 feet.
Hope this helps!
hope this helps
can you help me with this problem I can't find it out
Answers
12% of 40,000 is 4,800
40,000+4,800=44,800
Money estimated to be earned this year = $40,000 + 12% of $40,000
= $40,000 + (12/100 × $40,000)
= $40,000 + $4,800
= $44,800
Plz mark it brainliest
Esther wants to know if the number of words on a page in her language arts book is generally more than the number of words on a page in her social studies book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Book Mean Median Mean Absolute Deviation
Language arts 78.5 60 14.2
Social studies 68.7 65 9.8
She claims that because the mean number of words on each page of the language arts book is greater than the mean number of words on each page of the social studies book, the language arts book has more words per page. Based on the data, is this a valid inference?
Yes, because there is a lot of variability in the language arts book data
No, because there is a lot of variability in the language arts book data
Yes, because the mean is larger in the language arts book
No, because the mean is larger in the social studies book
Answers
The mean of the language arts book is higher than the mean of the social studies book, however, there is a lot of variability in the language arts book. This means that the language arts book could actually be lower than the social studies book. It is not likely but it could happen.
The correct choice is, No, because there is a lot of variability in the language arts book data.
What is Mean?Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.
From the given data, it is clear that the mean number of pages of language arts book is greater than that of social studies book.
However, the mean absolute deviation is greater for language arts book and median is lower for language arts book.
This clears the fact that the variability is high for language arts book. So the number of pages could actually be less than that in social studies book.
Hence the correct option is that we cannot say a valid inference because there is a lot of variability in the language arts book data.
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Evaluate the expression 5m – 6 for m = 7. 29 41 5 51
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So we know that M is 7 so what you should do is this
5x7-6
you need to multiply 5x7
5x7= 35
Now all you need to do is subtract 35 from 6 and you get 29!
When m = 7, the expression 5m - 6 evaluates to 29.
To evaluate the expression 5m - 6 for m = 7, we substitute m with 7:
5m - 6 = 5(7) - 6
Next, we perform the multiplication first:
5(7) = 35
Now we can substitute the value into the expression:
5m - 6 = 35 - 6
Finally, we perform the subtraction:
35 - 6 = 29
Therefore, when m = 7, the expression 5m - 6 evaluates to 29.
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What is the value of y in the equation 2 + y = −3 ?
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YOU HAVE TO BE SURE ABOUT YOUR ANSWER BEFORE YOU POST! A slice is made parallel to the base of a right rectangular pyramid, as shown.
What is the area of the resulting two-dimensional cross-section?
Enter your answer in the box.
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Therefore the area of the section is 3.5*2=7 mm^2, using the area of rectangle formula.
Answer:
[tex]7\ mm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the resulting two-dimensional cross-section is the area of a rectangle
The area of a rectangle is equal to
[tex]A=bh[/tex]
we have
[tex]b=3.5\ mm[/tex]
[tex]h=2\ mm[/tex]
substitute
[tex]A=3.5*2=7\ mm^{2}[/tex]
Find the sum of 301 + 173 + 427 using mental math and the associative property of addition. Show how you can use the property to group the two of the address. Explain how you found the sum.
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i look at 173 and 427 and see that
73+27=100
i add now the 100(from 173)+400(from 427)+100(see above)=600
easy
600+301=901
Sum Using Associative property of addition
A+(B+C)=(A+B)+C=(A+C)+B
→301 + 173 + 427
=301 +(173+427)------Combining 173 and 427 first ,as adding unit digit of both three digit number gives 0.
=301 + 600
=901
⇒Using mental math
Add Hundreds=300+100+400
=800
Add tens=73+27
=100
Ones=1
Combine these three numbers
=800+100+1
=901
convert a 30% markup percent on cost to markup percent on selling price. (round to the nearest hundredth percent)
Answers
Answer:
23.08 %
Step-by-step explanation:
Markup price is the difference between the selling price and cost price of an item.
m = Markup = 30
s = Selling price = 130
[tex]\text{Markup percent on selling price}=\frac{m}{s}\times 100\\\Rightarrow \text{Markup percent on selling price}=\frac{30}{130}\times 100\\\Rightarrow \text{Markup percent on selling price}=23.08\ %[/tex]
∴ Markup percent on selling price is 23.08 %
1:2=3:
Find the mising number
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The second number is double the first.
1:2=3:
6
What is the surface area of the prism
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so for the box on the top the sides are 10 and 8. the squares area is 80.
or the triangles, the height is 3 inches and base is 8 inches. so 8x3 is 24. but for triangles you divide by two. so it would be 12 for one triangle resulting in 24 for both of them.
now lets combine the bottom two boxes. each side is 10 because 10 on one side and 5+5 is 10. so 10x10=100.
if we take all the values and add them up well get 204.(80+24+100=204.
have a good day
A coin weighs about 14^−2 pounds. Find the weight of 1000 of the coins. Round your answer to the nearest tenth.
1000 of the coins weigh about ______ pounds.
Answers
Answer:
1000 of the coins weigh about 5.1 pounds.
Step-by-step explanation:
Consider the provided information.
A coin weighs about 14^−2pounds.
This can be written as:
[tex]14^{-2}=\frac{1}{14^2}=\frac{1}{196}[/tex]
Now we need to find the weight of 1000 coins.
To find this simply multiply the weight of one coin with 1000.
[tex]\frac{1}{196}\times 1000=5.10\approx 5.1[/tex]
Hence, 1000 of the coins weigh about 5.1 pounds.
What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda?
1:24
24:1
1:6
6:1
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I'm 100% sure the answer is D
Sorry me again how do I do this?