Since the fish was share evenly amongst the 3 dolphins, and each one got 6, the equation will be:
f = d x n
where
f represents the fish
d represents the dolphin
n represents the number of fish each got.
Step by step explanationLet's assume that the number of fish in the bucket before Colleen feeds the dolphins is "f". To find out how many fish there were in the bucket, you can use the following equation:
f = 3 * 6
where 3 is the number of dolphins and 6 is the number of fish each dolphin gets. Solving for "f", you get:
f = 3 * 6
f = 18
So there were 18 fish in the bucket before Colleen fed the dolphins.
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A carnival charges $6 to enter and $.75 per ticket. Write a function rule that models this situation.
Rule:
The function rule that models this situation is that increase in the number of tickets would lead to an increase in the total cost charged for each individual.
What is a direct relationship between two values?A direct relationship between two values is said to exist when the increase in one value leads to the increase of the other.
The cost of 1 ticket = $.75
The cost to enter the carnival = $ 6
Therefore the total cost for each individual = 6+0.75 = $6.75
The cost for two tickets for two individuals = 2× 6.75 = $13.5.
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What are the ACT math formulas that you absolutely have to know?
The ACT Math section tests a wide range of mathematical concepts and skills, so there are many formulas and concepts that you should be familiar with.
Here are some of the most important ACT math formulas that you should know:
1. Basic operations: addition, subtraction, multiplication, and division.
2. Exponents and roots: [tex]a^n[/tex] means a multiplied by itself n times; the nth root of a is the number that, when raised to the nth power, gives a.
3. Order of operations: parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
4. Fractions: converting between fractions, decimals, and percents; adding, subtracting, multiplying, and dividing fractions.
5. Algebra: solving equations and inequalities; simplifying algebraic expressions; factoring quadratics; understanding linear and quadratic functions.
6. Geometry: properties of lines, angles, and polygons; Pythagorean theorem; trigonometric functions; volume and surface area of 3D shapes.
7. Probability and statistics: calculating probabilities; mean, median, and mode; standard deviation.
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1, 6, 36, 216, 1296...
Write the recursive form of the sequence above.
Tn = 6Tn-1 is the recursive form of the sequence
Finding the recursive function of a geometric sequenceA geometric sequence is determined by its common ratio. The standard recursive formula is expressed as:
Tn = rTn-1
Determine the common ratio of the sequence
r = 6/1 = 36/6
r = 6
Substitute the common ratio into the formula to have:
Tn = 6Tn-1
Hence the recursive form of the sequence above is Tn = 6Tn-1
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Help w/ this question its due today!
The 40th customer who gets the t-shirt and water bottle.
If the sporting goods store has 100 gifts each in stock, then the number of customers who get t-shirts and drinking bottles are 2 customers, namely the 40th customer and the 80th customer.
Determine the LCM(Least Common Multiples)In finding the LCM, we also use prime factorization, namely multiplying all the factor numbers and if there are the same, take the largest value, if both are the same, then take one of them.
For example, determine the LCM of 30 and 48
30 = 2 x 3 x 5
48 = 2 x 2 x 2 x 2 x 3 = 2⁴ x 3
The LCM of 30 and 48 is 2⁴ x 3 x 5 = 240
The above Question can be solved with the concept of LCM
where the 8th customer gets a T-shirt and the 10th customer gets a water bottle. To find out which customer gets the two gifts, then look for LCM from 8 and 10
LCM(8, 10) =2×2×2×5=40
LCM of 8 and 10 is 40.
So the 40th customer who gets the t-shirt and water bottle.
If the store has 100 gifts each in stock, then the number of customers who get t-shirts and drinking bottles are 2 customers, namely the 40th customer and the 80th customer.
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find the value for x that makes the equation true.
4x +2x + 12 =3(3x + 6)
Answer :
x = -2
-8 + -4 + 12 = 3(-6 + 6)
Im not sure
Solve for y. 2x - 1/4y = 1
which expression is equivalent to 3.5b + 4.5 + 0.5b - 0.5 - 1.5b
[tex]3.5b + 4.5 + 0.5b - 0.5 - 1.5b[/tex]
Combine Like Terms:
[tex](3.5b+0.5b-1.5b)+(4.5-0.5)[/tex]
[tex]\boxed{2.5b+4}[/tex]
A, B, C and D form the vertices of a parallelogram.
AD = 10.1cm, AB = 15.9cm and
∠
BAD = 61°.
Find the area of the parallelogram. Round to 1 DP
What is the ratio of dL to L?
Answer:
Step-by-step explanation:
The ratio of a change in a quantity (dL) to the original quantity (L) is given by:
dL/L
This ratio can also be expressed as a percentage change, which is calculated by multiplying the ratio by 100:
(dL/L) * 100 = percent change
In general, the ratio of dL/L represents the fractional change in the quantity L and is used to quantify the effect of small changes in a system or process. For example, if L is the length of an object and dL is a small change in length, then dL/L represents the fractional change in length due to this change.
Given f(x)=-5x-3, find f-^1(x).
The inverse of the given function f(x) = -5x-3, is f⁻¹(x) = -x/5-3/5
What is an inverse function?An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y).
Given that a finction f(x) = -5x-3, we need to find the inverse of the function,
We can write,
y = -5x-3,
Interplace, x and y,
x = -5y-3
-5y = x+3
y = -(x+3)/5
y = -x/5-3/5
f⁻¹(x) = -x/5-3/5
Hence, the inverse of the given function f(x) = -5x-3, is f⁻¹(x) = -x/5-3/5
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Stefan is decorating a rectangular cake. He will put blue icing on the top three-fourths of the cake, as shown in this model. He will put red dots on the left one-fifth of the cake, as shown in this model. What fraction of the cake will have both blue icing and red dots? .
The circumfrence is 26cm what is the diameter to 1dp
Answer:
The diameter is 8.3cm.
Step-by-step explanation:
The circumference is the distance all the way around a circle. To find circumference, multiply pi times diameter:
C = pi • d
Fill in given circumference.
26 = pi • d
Divide both sides by pi (you should use a calculator) in this question it doesn't happen to matter if you use a pi button or 3.14 for pi.
26/3.14 = d
8.276057 = d if you use the pi button.
or,
8.28025 = d if you use 3.14
Both of these round to 8.3, since the question asked for one decimal place (1dp)
The diameter is 8.3cm.
Cory and Veronica each multiplied one/2×5/2 Cory got six/ four and Veronica Cook got five over four which student found the correct answer explain
Answer:
Veronica is correct
Step-by-step explanation:
1/2 x 5/2 = 5/4
1/2 + 5/2 = 6/4
Determine the number of 4g cremora sachets that will make 1kg cremora box.
A total of 250 packets of 4g cremora will make 1kg cremora box.
What is function?A function is a elation between a dependent and independent variable.
Given are 4g cremora sachets.
We can write the total number of cremora sachets that will make 1kg cremora box as -
{n} = 1000/4
{n} = 250
Therefore, a total of 250 packets of 4g cremora will make 1kg cremora box.
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5) Imani and lea are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Imani sold 2 rolls of plain wrapping paper and 11 rolls of holiday wrapping paper for a total of $208. Lea sold 11 rolls of plain wrapping paper and 9 rolls of holiday wrapping paper for a total of $320. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?
Answer: Let's represent the cost of one roll of plain wrapping paper as x, and the cost of one roll of holiday wrapping paper as y. We can write two equations based on the information given:
2x + 11y = 208
11x + 9y = 320
We can use these equations to find the values of x and y. Solving the first equation for y:
y = (208 - 2x) / 11
We can substitute this expression for y into the second equation to eliminate y:
11x + 9((208 - 2x) / 11) = 320
11x + 208 - 18x / 11 = 320
11x - 18x / 11 = 320 - 208
-7x / 11 = 112 / 11
-7x = 112
x = -16
So one roll of plain wrapping paper costs -16 dollars, which is not possible. This means there is no solution for this system of equations, and therefore the problem has no solution.
Step-by-step explanation:
Write a ratio for each scenario using a colon(:).
1. Two cookies per student. __:__
2. The odds of the horse winning the race are 2 to 5. __:__
3. Colorado State University, there are 4 female students for every 3 male students. __:__
PLEASE BE ACCURATE!!! THANK YOU!!!
Answer:
2:1
2:5
4:3
Step-by-step explanation:
In these examples the comparison words "per", "to", "for every" is the colon.
Then just put the numbers in the same order they are in in the problem
1. Two cookies per student. __:__
Means 2 cookies per 1 student
We're writing the ratio
cookies:students
2:1
2. The odds of the horse winning the race are 2 to 5. __:__
The "to" is the colon
2:5
3. Colorado State University, there are 4 female students for every 3 male students. __:__
We are comparing
female:male
4:3
1) A bakery used one-sixth of a bag of chocolate chips to make 8 batches of cookies. How
much of the bag did they use for each batch?
Answer:
Step-by-step explanation:
1/6 ÷ 8
1/6 × 1/8
1/48
for each batch
Find x. Round your answer to the nearest tenth of a degree.
Answer:
x = 64.6 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side / hypotenuse
cos x = 3/7
Taking the inverse cos of each side
x = cos^-1 ( 3/7)
x = 64.6 degrees
Arial says that, for any pair of linear realtions, if the coefficients of the y-terms are equal the coefficients of the x-terms are equal, the graphs of the two lines will be parallel. Give an example for which Arial's claim is true.
Arial's claim that the graphs of the two lines will be parallel if the coefficients are equal.
How to prove the claim ?If the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the two lines represented by the equations will be parallel. Parallel lines have the same slope and do not intersect, meaning that their graphs will never cross.
To prove Arial's claim, here is an example:
y = 2x + 1 and y = 2x + 3
The coefficients of the y-terms are equal in both equations, since they both have a coefficient of 2 in front of the x-term. The coefficients of the x - terms are also equal, since they both have a coefficient of 1 in front of the constant term thereby making them parallel.
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a process in which a number is changed, such as by adding, subtracting, dividing or multiplying is definition of _____
Answer:operation
Step-by-step explanation:
What angle in degrees does the guy wire make with the ground?
Answer:
45? I'm not 1000% sure tog
Step-by-step explanation:
Please help asap thank you so much if you do
the relation has the domain of -4> x> 4 and the given relation is continuous for the given range.
What is the range or domain of a function?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given a graph,
The relation that defines the set of inputs to the set of outputs is called the functions. In function, each input in set X has exactly one output in set Y. Note: All functions are relations but all relations are not functions.
thus the given graph is a relation but not a function.
Given relation is continuous in the domain.
since the domain of the relation is The set which contains all the first elements of all the ordered pairs of relation R.
the given relation and has x values from -4 to 4 thus, the domain of the relations -4> x> 4.
Therefore, the relation has the domain of -4> x> 4 and the given relation is continuous for the given range.
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SMENT UNIT 22 SY23 / SECTION 1/1 OFS /
Kane Laboratories is studying the impact of various enriched growth mediums on different bacteria. They
are currently studying the impact of placing Bacillus Megaterium into a culture of sucrose salts. The table
below shows the growth rate of the bacteria during the growth phase. The generation time for Bacillus
Megaterium is 25 minutes in this culture.
Generation
Number, n
Bacteria
Population, P
B. P (n) = 12+2n
OC. P (n) = 12 (n+1)
OD. P (n) = 12-4-1
0
12
1
24
2
3
48 96
4
20%
192
Which function models the growth of the Bacillus Megaterium over each generation?
O A P (n) = 12-2
The function that models the growth of the Bacillus Megaterium over each generation is B. P (n) = 12 + 2n.
5. A company produced 9,800 pairs of sunglasses
in one week, and 49 of the sunglasses failed
a quality inspection. If the company produces
1,400 pairs of sunglasses in one day, how many
would you expect to fail the quality inspection
The number of sunglasses that will fail the quality inspection are 7.
What is a ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
We are given that, A company produced 9,800 pairs of sunglasses
in one week, and 49 of the sunglasses failed a quality inspection.
And based on this data we are asked to find the number of sunglasses which will fail the quality inspection If the company produces
1,400 pairs of sunglasses in one day
Let the number of sunglasses failing the quality inspection be x
hence the ratio becomes
9800/49 = 1400/x
x= 1400*49/9800
x= 7
The number of sunglasses that will fail the quality inspection are 7.
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Quadrilateral MNOP is similar to quadrilateral QRST. Find the measure of side RS.
Figures are not drawn to scale.
The measure of side RS is 7.6 units .
Similar quadrilaterals:
A quadrilateral's interior angles add up to 360 degrees. Two quadrilaterals are said to be identical when two adjacent sides have the same ratio and all three matching angles are equal (the fourth angle automatically becomes equal because the internal angle sum equals 360 degrees).
The corresponding angles of similar quadrilaterals should be equal in accordance with the similarity of quadrilaterals. Since we know that every angle in a square is 90 degrees, every matching angle in any two squares will be the same.
In the given question ,
Quadrilateral MNOP is similar to quadrilateral QRST .
[tex]\frac{ON}{NM} =\frac{RS}{RQ} \\\\\frac{2}{4} = \frac{RS}{15.2} \\\\\frac{1}{2} =\frac{RS}{15.2} \\\\RS=\frac{15.2}{2} \\\\RS=7.6units[/tex]
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what is -3x+y=6 on a graph?
The graph of the equation -3x+y=6 is linear and is attached with the answer below.
What is a linear equation?A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given linear equation is -3x+y=6. When we plot the linear equation -3x+y=6 on the graph it will be a straight line and the x and y-intercepts are -2 and 6 respectively.
The graph of the linear equation is attached with the answer below.
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Choose ALL answers that describe the polygon QRST if QR = 12, RS = 12, ST = 12, TQ = 12, m
Answer:
quadrilaterals
ok I only guss it
Help pls due tomorrow
The angle measure of the missing angle is 630 - 11x.
What is the interior angle?Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."
Given:
A non-regular hexagon.
The sum of all the interior angles of the hexagon is,
= (6 - 2) 180
= 4(180)
= 720
Now, the angle measure of the missing angle,
= 720 - 2x - 3x - 2x - 4x - 90
= 630 - 11x
Therefore, 630 - 11x is the required expression.
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Triangle rst is congruent to triangle wxy. If the area of triangle wxy is 20 square inches, then the area of triangle rst is _____. 10 in 2 40 in 2 80 in 2 20 in 2.
Triangle rst is congruent to triangle wxy. If the area of triangle wxy is 20 square inches, then the area of triangle rst is 20 square inches.
When two triangles are congruent, it means that they are exactly the same in every aspect, including their size and shape. This means that their corresponding sides and angles are equal in length and measure, respectively.
In terms of area, if two triangles have the same shape and size, then they will have the same area. This is because the area of a triangle is determined by the length of its sides and the angles between them, and if two triangles are congruent, then their sides and angles are equal.
Therefore, if the area of triangle WXY is 20 square inches, then the area of triangle RST must also be 20 square inches. This is because triangle RST has the same size and shape as triangle WXY, and therefore must have the same area.
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How to solve your problem: 8d+d+3d+2+4d
Answer:
d= -1/8
Step-by-step explanation:
8d+d+3d+2+4d= 16d+2
16d= -2
d= -1/8