The ratio of bream to tench to carp is given by the expression; 12 : 7 : 21
What is a ratio of items?A ratio is a relationship between two or more items, that quantitatively expresses the number of times a unit item can be found within the quantity of each item in the set of items.
The given parameters are;
Number of fish in the pond = 40
The number of fish in the pond that are bream = 12
The number of fish that are tench = 1/4 of the fish that are not bream
The number of the fish that are carp = The rest of the fish that are not bream or carp
Required;
The ratio of bream to tench to carp of the fish in the pond.
Solution;
The number of fish that are either tench or carp = 40 - 12 = 28
The number of the fish that are tench = (1/4) × 28 = 7
Therefore;
The number of fish that are carp = 28 - 7 = 21
Which gives;
Number of bream in the pond = 12
Number of tench in the pond = 7
Number of carp in the pond = 21
The ratio of the number of bream to tench to carp in the pond is given by the expression;
[tex]\displaystyle{ \frac{12}{40}:\frac{7}{40}:\frac{21}{40}}[/tex]
Given that the expression for the ratio cannot be simplified further, we have;
The ratio of bream to tench to pond is 12 : 7 : 21
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A gym charges for attending exercise classes. Raquel pays $10 to attend
each class because she is a non-member. Since Viola is a member, she pays $15 per
month for a membership fee, but only $5 for each class.
Set the two expressions equal to each other. Solve this equation to determine how
many classes they would each have to attend to have the same cost.
The number of classes that they would each have to attend to have the same cost is 3 classes.
How to calculate the equation?Viola is a member, she pays $15 per month for a membership fee, but only $5 for each class. This will be illustrated as 15 + 5x.
Raquel pays $10 to attend each class because she is a non-member. This will be illustrated as 10x
where x = number of classes
Therefore, the equation will be equated together. This will be:
10x = 15 + 5x
Collect like terms
10x - 5x = 15
5x = 15
Divide
x = 15 / 5 = 3
The number of classes is 3.
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How do the digestive and circulatory systems interact?
Answer:
(1) Digestive System gets nutrients (good) from food and hands it over to the blood and Circulatory System then carries those nutrients where they need to go. (2) Filters out waste from food and pushes it through intestines and out the body (and you know how and where it gets out).
Step-by-step explanation:
Digestive System gets nutrients (good) from food and hands it over to the blood and Circulatory System then carries those nutrients where they need to go. (2) Filters out waste from food and pushes it through intestines and out the body (and you know how and where it gets out).
a river barge travels at an average of 8 mi/h in still water. the barge travels 60 miles up the mississippi river and 60 miles down the river in a total of 16.5 hours. what is the average speed of the current in this section of the mississippi river? round the tenths place.
the average speed of the current in this section of the mississippi river is 5.8
let C = the speed of the current
then B - C = effective speed up river
B+C =effective speed down river
time up + time down = 16.5 hrs
60/B-C+60/B+C= 16.5
taking lcm and solving we get
480+60C +480-60C= 16.5 (64 - C^2)
960= 1056 - 16.5 C^2
16.5 C^2 =96
C^2= 5.82
Hence , the average speed of the current in this section of the mississippi river is 5.8
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what is -3.1 x (-2.9)
please help me ty
this needs a step-by-step explanation
Answer:
4x3 which would be 12
Step-by-step explanation:
You write the words as numbers. Check if your answer is the same as the answer you have put for Number 4 and explain the difference
four times three can be numerically written as 4×3 which is equal to 12.
What are some alternative names for arithmetic operations?The addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
We know an alternative name for multiplication is times.
Given in the question four times three, this means we have to multiply 4 and 3 which is,
= 4×3.
= 12.
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Simplify the expression √9x^3/25y^2 and be sure to explain your steps!
The expression √9x³/25y² when simplified gives the result 3x³/25y².
What is the mathematical definition of expression?In mathematics, an expression is a statement made up of terms and operations. The terms can be numbers or variables with coefficients. Addition, subtraction, multiplication, and division are all possible operations.Simplifying an expression is the same as solving a math problem. When you simplify an expression, you are attempting to write it in the simplest feasible manner.The given expression is √9x³/25y².
In the expression, calculate the square root of 9.
As a result, we have the following expression.
⇒ 3x³/25y²
The above expression cannot be simplified any further.
Therefore, the simplified expression is 3x³/25y².
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Name one pair of parallel planes. All lines and planes that appear to be parallel are parallel.
The parallel plane is the plane that has the same in-between distance at all points on the plane so plane ABF is parallel with plane DCG so option (C) is correct.
What is the plane?The plane is a two dimension(2D) surface that has a surface area.
We can draw lines on a plane and two or more planes can intersect or parallel.
If two planes are parallel then the perpendicular distance between both planes must be the same.
The angle of inclination of two parallel planes with a single reference plane is also the same.
In the given cuboid the plane ABF is parallel with plane DCG.
So, ABF || DCG.
Hence "The parallel plane is the plane that has the same in-between distance at all points on the plane so plane ABF is parallel with plane DCG".
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Please help Determine an expression that would represent the area of the figure shown below:
The expression that represents the area of the figure is: D. x² + 5x + 6.
What is the Area of a Triangle?The area of a triangle can be found using the following formula:
Area of triangle = 1/2 × base × height.
Given the following parameters for the triangular figure shown:
Length of the base of the triangle = 2x + 4
Height of the triangle = x + 3
The area of the triangle = 1/2 × (2x + 4) × (x + 3)
Expand
The area of the triangle = 1/2 [2x(x + 3) + 4(x + 3)]
The area of the triangle = x(x + 3) + 2(x + 3)
The area of the triangle = x² + 3x + 2x + 6
The area of the triangle = x² + 5x + 6
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Assume a profitable economic well produces an average income of $23 million, while the average cost of a dry hole is $1.2 million. How much profit can be expected from a 100-well drilling program?
The most appropriate choice for revenue and profit will be given by-
Profit expected from a 100-well drilling program = $[tex]146.2[/tex]
What is revenue and profit?
Total income generated by sale of goods and service is called revenue.
If [tex]p[/tex] is the cost of producing one unit of a commodity and [tex]q[/tex] is the number of units of the commodity, then the product of [tex]p[/tex] and [tex]q[/tex] gives the revenue.
If the revenue obtained by selling a commodity is more than the cost, difference between revenue and cost gives the profit.
Here,
Number of economic wells = 11
An economic well produces an average income of $23
Revenue obtained = $[tex]$[/tex][tex](23 \times 11)[/tex]
Number of dry wells = [tex]100 - 11[/tex]
= [tex]89[/tex]
Average cost of a dry hole is $1.2 million
Cost of 89 dry holes = $[tex]$[/tex][tex](89 \times 1.2)[/tex]
= $[tex]106.8[/tex]
Profit = Revenue - cost
= $[tex](253-106.8)[/tex]
= $[tex]146.2[/tex]
Profit expected from a 100-well drilling program = $[tex]146.2[/tex]
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Complete Question
The diagram has been attached
Assume a profitable economic well produces an average income of $23 million, while the average cost of a dry hole is $1.2 million. How much profit can be expected from a 100-well drilling program?
Find the 7th term in the
sequence
-4, -8,-16, . . .
Answer: -512
Step-by-step explanation:
to answer this problem you need to understand the sequence and hen extrapolate the sequence out until you get to the seventh term (which would be your answer).
looking at -4, -8, -16
First we clearly see that each number is a negative and an even number. going beyond this we see -4 goes into -8 twice and -8 goes into -16 twice (in other words the next number in the sequence is always double the proceeding number). Also, each number is an even factor of four which can help us with double checking at the end!
-4 --> (-4) + (-4) = -8 -8 --> (-8) + (-8) = -16 -16 --> (-16) + (-16) = -32 -32 --> (-32) + (-32) = -64 -64 --> (-64) + (-64) = (-120) + (-8) = -128 -128 --> (-128) + (-128) = (-200) + (-40) + (-16) = -256 -256 --> (-256) + (-256) = (-400)+(-100)+(-12) = -512Can also be seen as:
4 times (-2) = -8 4 times (-4)= -16 4 times (-8) = -32 4 times (-16) = -64 4 times (-32) = -128 4 times (-64) = -256 4 times (-128) = -512Double check by going back and reviewing you math as well as making sure each answer is even and divisible should be divisible by four!
I hope this helps!
P.S.
As this addition is rather tedious you could also times each previous answer by 2 .
example:
-64 times 2 = -128
(previous number in sequence) times 2 = (next number in sequence)
HELP MEEEE PLEASEEEE
A pound of peppers costs $0.62. The total cost varies directly with the pounds of peppers purchased. Write an equation that relates the total cost, c, and the number of pounds of peppers purchased, p.
If a pound of peppers costs $0.62, then multiply the cost by how many pounds you're getting.
ASAP!! 4(x + 4) + 2x = 52
Solve for X and include step by step explanation for branliest.
Answer:
x = 6
Step-by-step explanation:
4 ( x + 4 ) + 2x = 52
Use distributive property to open parenthesis and combine like terms
4x + 16 + 2x = 52
6x + 16 = 52
6x = 52 - 16
6x = 36
x = 6
1/5x=15 what is x equal to?
Answer:
x=75
Step-by-step explanation:
because 1x=15
15x5=75 or 5 x
Is y=x(1-x)-(1-x^2) a linear, quadratic, or absolute value
The y=x(1-x)-(1-x²) is a linear value that is not absolute.
Simplifying,
y=x(1-x)-(1-x²)
y=x-x²-1+x²
y=x-1
Thus, it is a linear equation with a negative value therefore it is not an absolute value.
Ax+By=C is the general form of a two-variable linear equation. When the equation is written in this manner, it is quite simple to obtain both segments (x and y).
Any polynomial that can be rewritten in the canonical form is a quadratic equation. where x represents an unknown quantity and a, b, and c represent known quantities, with a = 0. This indicates that f(x) = 0 is the root of function f(x) = ax2 + bx + c, which is the answer to the quadratic equation ax2 + bx + c = 0.
The absolute value of a real figure x, denoted by |x|, is the non-negative real value of x, regardless of its sign.
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Question 2(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify nine square root of two minus three square root of seven plus square root of eight minus square root of twenty eight.
eleven square root of two minus five square root of seven
eleven square root of four minus five square root of fourteen
six square root of five
six square root of nine
Answer:1. eleven square root of two minus five square root of seven.
Step-by-step explanation:
Given-nine square root of two minus three square root of seven plus square root of eight minus square root of twenty eight.
•we can write √8 as 2√2 as 8 =2*2*
•we can write √28 as 2√7 as 28=2*2*
•Now putting these in the given equation we get
•9√2-3√7+2√2-2√7
•11√2-5√7
For the regular octagon, please find the order of rotation and the angle
of rotation. Show all work for full credit.
A regular octagon is a closed figure with equal-length sides and equal-sized interior angles.
Measure of interior angle = 135°
Measure of exterior angle = 45°
What is meant by regular octagon?A regular octagon is a closed figure with equal-length sides and equal-sized interior angles. It possesses rotational symmetry of order 8 and eight lines of reflective symmetry. The Schläfli sign "8" represents a regular octagon. A regular octagon's internal angle at each vertex is 135°. ( radians).
We know that for a regular polygon with n sides the measure of each of the exterior angle = 360/n
Also, the measure of each of the interior angles of the regular polygon with n sides = (n - 2) × 180 / n
We have n = 8 (octagon)
Therefore, the measure of each of the exterior angles is: 360/8 = 45
Measure of each of the interior angles is given by:
(8-2) × 180/8 = 1080/8 = 135
Measure of interior angle = 135°
Measure of exterior angle = 45°
Therefore, the correct answer is option A. 45°, 135°.
The complete question is:
What is the angle of rotation of this regular octagon? What is the measure of an interior angle? A. 45°, 135° B. 22.5°, 135° C. 45°, 108° D. 22.5°, 108°
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Rollaround skate rink charges $5 admission and $3 per hour for a skate rental. Spinaround skate rink charges $8 admission and $1.50 per hour for a skate rental. Write an equation to determine at what point the cost of both roller skating rinks is the same.
Answer:
2 hours
Step-by-step explanation:
Let x be the time, in hours, for which the cost of Rollaround and Spinaround are the same.
Rollaround Cost (Cr): Cr = $5 + $3x
Spinaround Cost (Cs): Cs = $8 + $1.50x
We want to find the value of x that makes Cr = Cs
Cr = Cs
$5 + $3x = $8 + $1.50x
$1.50x = $3
x = 2 hours
====
CHECK:
Cr = $5+$3(2) = $11
Cs = $8+$1.50(2) = $11
At 2 hours, both cost the same.
Question 22 (3 points)
Given that you are starting with:
4 + 2x = 10 - 4x
What are the equivalent equations in order to solve.
>
6x = 6
Xx = 1
4 +6x = 10
Answer:
Step-by-step explanation:
4+2x=10-4x
4+6x=10
6x=6
x=1
:]
A triangular cell has a perimeter of 26 m. Side A is 2 m shorter than twice side B, inside C is 3 m longer than side B. What is the length of each side?
Lengths are:
Side A = 4.25
Side B = 6.25
Side C = 9.25
What is perimeter?The perimeter is the length of the shape's perimeter. It is determined by adding up all of the shape's sides. It is linearly stated and one-dimensional. Area, on the other hand, quantifies how much space a shape takes up. It is stated in square units and has two dimensions. The total distance around a shape, or the sum of its side lengths, is the shape's perimeter. Units used to measure perimeter (P) include millimeters (mm), centimeters (cm), and meters (m).
Given Data
A triangular cell has a perimeter of 26 m. Side A is 2 m shorter than twice side B, inside C is 3 m longer than side B
Side A = 2Side B - 2
Side C = Side B + 3m
Perimeter = Sum of all sides
Perimeter = Side A + Side B +Side C
Equating values
26 = 2SideB - 2 + Side B + Side B + 3
26 +2 - 3 = 4 Side B
25 = 4 Side B
Side B = [tex]\frac{25}{4}[/tex]
Side B = 6.25
Side A = 2(2.25) -2
Side A = 4.25
Side C = 6.25 +3
Side C = 9.25
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72. At 6:00 a.m., the temperature was 7 degrees below zero Fahrenheit. At noon, the temperature was 10 degrees higher. At 6:00 p.m., the temperature was 5 degrees cooler than it was at noon. What was the
temperature at 6:00 p.m.?
E. -2°
F. -1°
G. 3°
H. 5°
Answer:
E. -2
Step-by-step explanation:
First, find the temperature at 6 am, which was -7 degrees Fahrenheit
Then, add the ten degrees from noon, making the temperature 3 degrees Fahrenheit
lastly, take away the 5 degrees that dropped making it -2 degrees Fahrenheit
In Rodger's state, unemployment compensation is calculated by finding the total of the quarterly wages of two consecutive quarters and dividing by 26. The weekly unemployment is 65% of that amount. In the quarter including January, February, and March, Rodger made a total of $13,950.80. In the quarter including April, May, and June, he made a total of $14,250.10. Find Rodger's weekly unemployment amount.
Rodger's weekly unemployment amount is $ 705.0225
Given,
The total of the quarterly wages of two consecutive quarters and dividing by 26.
The weekly unemployment is 65% of that amount.
Rodger made a total of $13,950.80.
and, he made a total of $14,250.10
We have to follow the some steps for solving question:
Step 1: Find the total of the quarterly wages of two consecutive quarters.
= $ 13,950.80 + $ 14,250.10
= $28,200.90
Step 2 : Divide the total by 26
= $28,200.90 / 26
= 1,084.65
Step 3 : Find the 65%
= 1,084.65 x 65%
= 1,084.65 x 65/100
= 705.0225
Hence, Rodger's weekly unemployment amount is $ 705.0225
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Answer:
$705.02
got it right
Step-by-step explanation:
Complete the statement below. Then use a number line to find the sum 5 + (-2). 5 + (-2) is ___ units from 5, in the ___ direction.
Evaluate. Write your answer as a fraction in simplest form. 4/3 to the power of 3
Answer:
[tex]2 \frac{10}{27}[/tex]
Step-by-step explanation:
4/3 to the power of 3 = to 4/3 x 4/3 x 4/3
which in the end equals to 64/27
there's no common factor between them to simplify, but we can turn them into a mixed number, which is 2 10/27 by dividing 64 and 27
Which algebraic expression is equivalent to the expression below?
8(3x - 5)
A.
24x - 40
B.
8x - 3
C.
8x - 8
D.
24x + 40
Answer: A
Step-by-step explanation:
Using the distributive property,
[tex]8(3x-5)\\\\=8(3x)-5(8)\\\\=24x-40[/tex]
80/15 y 6 son equivalentes?
6 y 5 7/8 son equivalentes?
Answer:
80/15 and 6 are equivalent?-no because 80/15=5 5/15 or 5 1/3
6 and 5 7/8 are equivalent? no because it is 1/8 off
Which table does not represent a proportional relationship?
Answer:
Table 3
Step-by-step explanation:
The ratio of x and y is not constant.
Solve the rational equation for n
Answer:
n = 29
Step-by-step explanation:
please give brainliest
Answer: 29
Step-by-step explanation:
The answer will be 29 because if you put it all together and do the equation(-646 = 3(-646 = 3(65 - n) 3 over 2. N will equal 29. If you don't understand I recommend looking it up or something.
But yeahhhhhhhhhhhhhh.
I hope it helps?
A rectangle concrete patio is 20 FEET long, 12 FEET wide, & 4 INCHES thick. What is the volume in cubic feet, of the concrete?
Answer:960
Step-by-step explanation:
4x12x20=960
In your own words, explain the relationship between the graph of a function and the graph of function's derivative.
Answer:
The derivative of a function in a point is the slope of the graph in that point, so the graph of the function's derivative shows the slope of the function at any point. It is useful because we can say if the function is increasing or decreasing using the graph of the function's derivative. Where the derivative is positive, the graph of the function is increasing and when the derivative is negative, the graph of the function is decreasing.
through: (-4,-2), slope 7/4
Answer:
y = 7/4x + 5
Step-by-step explanation:
Point slope form:
y+2 = 7/4(x+4)
y+2 = 7/4x + 7
y = 7/4x + 5
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