Math on the Spot There are tiger barbs in a aquarium and giant danios in a aquarium. Write a numerical expression to represent the greatest total number of fish that could be in both aquariums. Use the rule and the table to solve this problem. The rule for the number of fish in an aquarium is to allow of water for each of length.
Math on the Spot There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium. Write a numerical expression to represent the greatest total number of fish that could be in both aquariums. Use the rule and the table to solve this problem. The rule for the number of fish in an aquarium is to allow 1 gallon of water for each inch of lengnth
Answers
A numerical expression to represent the greatest total number of fish that could be in both aquariums is; Number in Tiger barb + number in giant danios
The Greatest number of fishes that could be in both aquariums is; 14
How to solve Algebra word problems?
We are given that;
Tiger barbs = 30 gallon aquarium
Giant danios = 20 gallon aquarium
Greatest number of fishes that could be in both aquariums;
Tiger barb = volume / length
Tiger barb = 30 / 3
Tiger barb = 10 fishes
Giant danios = volume / length
Giant danios = 20 /5
Giant danios = 4 fishes
Hence, the greatest total number of fishes in both aquarium is :
Number in Tiger barb + number in giant danios
= 10 + 4 = 14
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Complete question is;
There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium
Use the rule to solve this problem. The rule for the number of fish in an aquarium is to allow 1 gallon of water for each inch of length.
Giant Danio=5 inch length
Tiger barb=3 inch length
What is the correct numerical expression that represents the greatest total number of fish that could be in both aquariums?
Related Questions
You deposit $5,500 into a saving account that pays an annual interest rate of 5.5% compounded monthly.
How much would you have after 10 years?
Answers
Answer:
$9520.92
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: \(\displaystyle A = P(1 + \frac{r}{n})^{nt}\)
P is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 5500
r = 5.5% = 0.055
n = 12
t = 10
Step 2: Find A
Substitute in variables [Compounded Interest Rate Formula]: \(\displaystyle A = 5500(1 + \frac{0.055}{12})^{12(10)}\)(Parenthesis) Divide: \(\displaystyle A = 5500(1 + 0.004583)^{12(10)}\)(Parenthesis) Add: \(\displaystyle A = 5500(1.004583)^{12(10)}\)[Exponents] Multiply: \(\displaystyle A = 5500(1.004583)^{120}\)Evaluate exponents: \(\displaystyle A = 5500(1.73108)\)Multiply: \(\displaystyle A = 9520.92\)In the graph on the right, the demand for hot dog buns has changed because the price of hot dogs has risen from $2.00
to $2.50 per package.
The cross-price elasticity of demand between hot dogs and hot dog buns is (Use the midpoint formula and enter your
response rounded to two decimal places. Be sure to include the minus sign if hecessary)
Answers
The calculation depicts that the cross elasticity of demand will be -0.625.
How to calculate the elasticityFrom the graph, the percentage change in the price of hot dogs will be:
= (3-2)/[(3 + 2)/2]
= 1/2.50
= 0.40
The percentage change in the quantity of hot dogs will be:
= (7000 - 9000) / (9000 + 7000) / 2
= -2000/8000
= -0.25
The cross elasticity of demand will be:
= -0.25/0.40
= -0.625
In conclusion, the cross elasticity of demand is -0.625.
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kim ishe currenty 196lbs her goal is to lose 2.2lbs .a week until she is down to 152 lbs .how many weeks will take her to get her goal weight ?
Answers
Answer:
It will take Kim Ishe 20 weeks to get down to 152lbs
Step-by-step explanation:
196-152=44lbs
44/2.2=20
Answer:
So it will them 20 weeks to get down to 152lbs
Step-by-step explanation:
write the values of n such that -15< 3n ≤ 6
Answers
Answer:n=2
Step-by-step explanation:
If you multiply 3 by 2 you get 6.
6 is more than -15 But equal to 6 so two works for N in the situation
Note: The sign between the 3N and six means Less than OR equal to
Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
Answers
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
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PLEASE HELP "What is the value of x in the triangle" (15 Points)
Answers
Answer:
The answer is B.) 3
Step-by-step explanation:
Answer:
jesse got right
Step-by-step explanation:
branliest.
Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand B. Of all these soft drink consumers, 20% prefer Brand A and are female, and 40% prefer Brand B and are female. What is the probability that a randomly selected consumer is female, given that the person prefers Brand A? A. 0.18 B. 0.21 C. 0.34 D. 0.67
Answers
Answer:
The answer to this question should be D. 0.67
Hope this helped.
Since the function has integer coefficients, you can use the Rational Zero Test.Possible rational zeros =factors of constant termfactors of leading coefficientFirst, list the positive factors of the constant term. Remember to include 1 in your list of factors. (Enter youranswers as a comma-separated list.)16/3,-16/3,16,-16,8/3,-/3,8,-8,4/3,-4/3,4,-4,2/3,-2/3,2,-2,1/3,-1/3,1,-1
Answers
As per the given coefficient, the positive factors of the constant term is 3.
The Rational Zero Test allows us to determine the possible rational zeros of a polynomial function with integer coefficients.
In this case, the constant term is 16, and the leading coefficient is 3. Therefore, the factors of the constant term are 1, 2, 4, 8, 16, -1, -2, -4, -8, and -16. The factors of the leading coefficient are 1 and 3.
Next, we use these factors to form possible rational zeros by dividing each factor of the constant term by each factor of the leading coefficient. For example, one possible rational zero is 1/3, which is the result of dividing 1 by 3. We can also form -16/3, 16/3, -8/3, 8/3, -4/3, 4/3, -2/3, and 2/3.
It's important to note that not all of these possible rational zeros will necessarily be actual zeros of the function.
However, the Rational Zero Test gives us a starting point for finding the actual zeros of the function, which we can then verify using other methods such as factoring or the quadratic formula.
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2(4x - 1) = 3(x + 2)
Answers
Answer:
x = 8/5
Step-by-step explanation:
Step 1: Write equation
2(4x - 1) = 3(x + 2)
Step 2: Distribute
8x - 2 = 3x + 6
Step 3: Subtract 3x on both sides
5x - 2 = 6
Step 4: Add 2 to both sides
5x = 8
Step 5: Divide both sides by 5
x = 8/5
HELP PLEASE
If y varies directly with x and y = 26 when x = 8, write the equation that represents this direct variation relationship
Oy - 4x + 13
Oy=13x +4
Answers
Answer: y= 13 over 4x
Step-by-step explanation: trust me king
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
Answers
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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The winners of a carnival game draw a ticket from a box to determine their prize. Each winner draws a ticket and places it back into the box before the next draw. Every winner has a 33% chance of getting cotton candy, a 46% chance of getting a shirt, and a 21% chance of getting a key chain.
The game operator wants to simulate what could happen for the next ten winners. So for each winner he generates a random whole number from 1 to 100. The range of values that the game operator can use to represent a winner is 1 to 3. What is the percentage of winners who got a shirt
Answers
Answer:
He generates a random whole number from 1 to 3.
Step-by-step explanation:
Each winner has 3 possibilities, gets cotton candy, gets a shirt, or gets a keychain. We can asign each of this possibiltiies a number, 1 for cotton candy, 2 for the shirt and 3 for a keychain. So, for a simulation, its enough to take one of this whole numbers for each winner.
What two numbers are 3 away from -2 on the number line? Write the two answers in the space provided.
Answers
Answer:
-5, 1
Step-by-step explanation:
For every \(a\) and \(x\), the two numbers that are \(x\) away from \(a\) are \(a - x\) and \(a + x\).
Therefore, the two numbers that are 3 away from -2 are \(-2 - 3 = -5\) and \(-2 + 3 = 1\)
8.) SAT CORNER: Gatsby leaves his dock and takes his
motorboat due east for 0.5 miles to pick up Daisy. Then,
they motor 1.2 miles north to a private island in the
middle of the sound. What is the straight-line distance,
in miles, from the island to Gatsby's dock?
Answers
The distance from the island to Gatsby's dock is 1.3 miles.
What is a Pythagoras theorem?A Pythagoras theorem is a principle that can be used to determine the unknown side of a right angled triangle when the other two sides are known.
Applying the Pythagoras theorem to the given question, let the distance from island to Gatsby's dock be represented by s. Then;
/Hyp/^2 = /Opp/^2 + /Adj/^2
s^2 = 1.2^2 + 0.5^2
= 1.44 + 0.25
= 1.69
s = 1.69^1/2
= 1.3
Thus, the straight-line distance from the island to Gatsby's dock is 1.3 miles.
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Anyone know the answer to this question?
Answers
Which point could not be part of a function that includes (3, -1), (4, 2), (5, 4), (-2, 0), and (8, -3)?
(6, -7)
(2,2)
(3, -2)
(7, 4)
Answers
Answer:
(3, -2) is the correct choice.
A sport jacket that cost the retailer$25 is marked up$10. Write as a fraction the mark up compared to the cost
Answers
Answer:
2/5
Step-by-step explanation:
markup / cost = 10 /25 = 2/5
unction g is a transformation of the parent tangent function such that
. Which graph represents function g?
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
B.
The trigonometric functions intercept the x-axis at minus 4.2, minus 1.1, 2, and 5 units also pass parallel to the g of the x-axis.
C.
The trigonometric functions intercept the x-axis at minus 3.5, minus 0.2, and 3 units also pass parallel to the g of the x-axis.
D.
The trigonometric functions intercept the x-axis at minus 5, minus 2, 1, and 4.2 units also pass parallel to the g of the x-axis.
Answers
Answer:
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
a) Determine the edge length of this cube Volume =91 125 cm 3
b) Determine the side length of this square Area = 3969 cm²
PLS HELP!!!
Answers
The lengths of the edges of the cubes are 45cm and 63cm respectively.
EquationsTo determine the edge length of a cube with a volume of 91,125 cm³, we can use the formula:
Volume of a cube = edge length³
Plugging in the given value, we get:
91,125 = edge length³
Taking the cube root of both sides, we get edge length
edge length ≈ 45
Therefore, the edge length of the cube is approximately 45 cm.
To determine the side length of a square with an area of 3,969 cm², we can use the formula
Area of a square = side length²
Plugging in the given value, we get:
3,969 = side length²
side length = √3,969
Using a calculator, we can simplify this to
side length ≈ 63
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(I NEED THIS RIGHT NOW!! PLEASE GIVE EXPLANATION!!) Millie and her brother, Jack, sold candy baes for the band fund-raiser. Millie sold three times as many candy bars as Jack. If Jack sold 30 candy bars, which equation and solution can be used to represent y, the number of candy bars Millie sold?
A. 3y = 30; y = 10
B. 30 = y/3; y = 103
C. 30 = y/3; y = 90
D. 3y = 30; y = 90
Answers
The reason for this is that we know that Millie sold 3 times as much as Jack, and, if we use x to represent the number that Jack sold, and y to represent the number that Millie sold, we can form the equation y=3x which is equivalent to x=y/3.
By substituting x=30, we get to 30=y/3 and multiplying both sides by 3, we get to y=90
Answer:
C
Step-by-step explanation:
When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C
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Happy Easter
A farmer plans to plant wheat and rye. However, he has only $1200 to spend. Each acre of wheat costs $200 to plant and each acre of rye costs $100 to plant. Moreover, the farmer has to get the planting done in 12 days before it's too late. It takes one day to plant an acre of wheat and 2 days to plant an acre of rye. If the profit is $500 per acre of wheat and $300 per acre of rye. How many acres of each should be planted to maximize profits
Answers
9514 1404 393
Answer:
4 acres each of wheat and rye
Step-by-step explanation:
Let x and y represent acres of wheat and rye, respectively. Then the constraints of the problem are ...
200x +100y ≤ 1200 . . . . . . cost constraint
x + 2y ≤ 12 . . . . . . . . . . . time constraint
The objective is to maximize profit (p):
p = 500x +300y
The constraints can be graphed (see attached). The profit function will be maximized at one of the vertices of the "feasible region," the portion of the graph that satisfies the constraints. The vertices are (x, y) = (0, 6), (4, 4), and (6, 0). The associated profit values are $1800, $3200, and $3000.
Maximum profit is obtained when 4 acres of wheat and 4 acres of rye are planted.
Stained glass slope graphing linear equation Description: Identify the slope and y-intercept of the linear equation. Then, graph the linear equations on the same coordinate plane. Make sure to extend the lines to the edge of the graph paper! Darken each line when finished. Color however YOU want to create a stained glass effect
Answers
Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.
What is meant by slope-intercept?When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation. Given the slope of the line and the intercept it forms with the y-axis, the slope intercept form in mathematics is one of the forms used to determine the equation of a straight line. Y = mx + b is the slope intercept form, where m is the slope of the straight line and b is the y-intercept.To learn more about slope-intercept, refer to:
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Carrie has 3gallons of paint Bryan has 10quarts of paint how many more pints do Carrie have than Bryan
Answers
Carrie has 4 more pints of paint than Bryan.
Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.
To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.
Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.
Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.
To find the difference, we subtract Bryan's pint quantity from Carrie's:
24 - 20 = 4 pints.
Therefore, Carrie has 4 more pints of paint than Bryan.
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Please help me with this
Answers
Answer:Number 1 I think is -24 because the minus sign is right next to the () so that means multiply so - times negative is + 24 but then it says opposite so 24
number 2 I think 8 because positive times negative is negative then the opposite is positive 8
number 3 is -15 cause positive times positive is positive then the opposite of 15 is -15
number 4 is positive 33 because negative times positive is negative then the opposite is postive 33
number 5 is 40
and number 6 is -6 hope this helps
Step-by-step explanation:
Order these numbers from least to greatest. 2^7, 2.15, ^
\(2\)
2
\(3\)
\(2\)
, 8/3
Answers
PLS PLS PLS HELP!!! I'LL MARK BRAINLIEST!!!
Answers
Answer:
Its B
Step-by-step explanation:
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
Answers
Answer:
A) Mr. Simpson's class; it has a larger median value 14.5 pencils.
Step-by-step explanation:
A box plot is a visual display of the five-number summary:
Minimum value = The value at the end of the left whisker.Lower quartile (Q₁) = The left side of the box.Median (Q₂) = The vertical line inside the box.Upper quartile (Q₃) = The right side of the boxMaximum = The value at the end of the right whisker.From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:
Mr Johnson's class:
Median = 11IQR = Q₃ - Q₁ = 14 - 8 = 6Range = max - min = 45 - 7 = 38Mr Simpson's class:
Median = 14.5IQR = Q₃ - Q₁ = 21 - 12 = 9Range = max - min = 50 - 0 = 50In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.
The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.
The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).
As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.
In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.
Find ONLY the measure of angle A (just the number): *
20 points
Answers
Answer:
360 - 169 equals 191
Step-by-step explanation:
191
What is the volume of a sphere with a radius of 24 units?
A. 92167 units
O B, 230477 unite 3
O c. 18A324 units
D. 13,8247 units
Answers
Answer:
18A324 units
Step-by-step explanation:
The volume of a sphere is given by where r is given: The raduis of sphere =24 units
Then the volume of the given sphere will be
Hence, the volume of given sphere
pls help me somebody
Answers
Answer:
it is 36 inches
Step-by-step explanation: