Step-by-step explanation:
the ratio is 25/50 (25 kg in 50 minutes).
as a ratio is basically a fraction (just with a special meaning), we can simplify it as a "normal" fraction :
25/50 = 1/2
in other words, the hippo can eat 1 kg in 2 minutes.
now the answer to the question is easy :
how many minutes to eat 60 kg ?
remember, when we multiply one part of the fraction by a factor, we need to multiply the other post by the same factor to keep the overall value.
so, 60 kg = 60×1 kg
we multiply the numerator by 60, therefore, we need to multiply the denominator by 60 too. and we get
1/2 × 60/60 = 60/120
it takes the hippo 120 minutes to eat 60 kg.
How do you read and plot coordinates?.
To read and plot coordinates, first you need to understand what the coordinates are and what they represent. Coordinates are used to indicate the position of a point on a graph or map.
They are typically composed of two or three numbers that represent an x- or y-axis on a graph.
To plot coordinates, start by plotting the x-coordinates on the x-axis and the y-coordinates on the y-axis. When plotting a point, start by drawing a circle at the coordinates. Then, draw a line connecting the point to the origin (the point where the x- and y-axes intersect). Finally, label the point with its coordinates.
When plotting multiple points, start by plotting each point individually and then connecting them with straight lines. This will create a graph with the points connected in a specific order.
When plotting coordinates, it is important to make sure that the data is accurate. Any mistakes in the coordinates can lead to wrong results. Additionally, it is important to use the same scale when plotting coordinates so that the points are accurately represented.
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Is the following statement true or false?
Every diameter of a circle is a chord.
Justify your answer using what you know about diameters and cords.
Answer: True.
A diameter is a line that goes across the whole circle and passes by the center.
A chord is any line segment that connects two points on the circumference.
Since the diameter is a line from one opposite end of the circle to the other, it is connect two points on the circumference, thus it is a chord.
Step-by-step explanation:
Todos los Factores de 28?
Answer: 1,2,4,7,14 and 28
Step-by-step explanation: Todos los Factores de 28 = Factors of 28
I need this certain question helped with immediately
: f(x) = 2x - 4 g(x) + 1 what is h(x) = f(x)g(x)?
The value h(x) = f(x)g(x) is h(x) = f(x)g(x) = (2x - 4g(x) + 1)(g(x)) = 2xg(x) - 4g(x)^2 + g(x)
What is factorization?Factorization is the process of finding the factors of a number or expression. In mathematics, factorization or factoring is the breaking apart of a polynomial into a product of other smaller polynomials, or the breaking apart of a number into a product of other smaller numbers. For example, the factorization of the polynomial x^2 + 2x + 1 is (x+1)^2, and the factorization of the number 15 is 3*5.
It can then be concluded that the equation of f(x) = 2x - 4 g(x) + 1 what is h(x) = f(x)g(x) is (2x - 4g(x) + 1)(g(x)) = 2xg(x) - 4g(x)^2 + g(x)
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What is the solution to the system of equations y equals 5x 3 and y equals 1?.
The solution of the given equations is x= 0.4 and y= 1.
The system of equations is y = -5x + 3 and y = 1. To find the solution, we can substitute the value of y from the second equation into the first equation.
To find the solution to a system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
The system of equations is:
y = -5x + 3
y = 1
We can see that the second equation is already in the form y = a, which means that the y value is constant and equals to 1. Now we can substitute this value of y in the first equation:
1 = -5x +3
So the solution to the system of equations is x = 0.4, y = 1.
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Work out the value of 3 2/5 × 10
Give your answer as a whole number or as a
fraction in its simplest form.
To work out the value of 3 2/5 × 10, we need to first convert the mixed number 3 2/5 into an improper fraction. To do this, we multiply the whole number (3) by the denominator (5) and add the numerator (2) to get:
3 2/5 = (3 x 5) + 2 / 5 = 15 + 2 / 5 = 17/5
Now that we have the improper fraction, we can multiply it by 10:
17/5 x 10 = (17 x 10) / (5 x 10) = 170 / 50 = 34 / 10
The answer is 34/10, which can be simplified to 17/5. Therefore, the value of 3 2/5 × 10 is 17/5.
please help me- speed
Answer:
4 km per hour
Step-by-step explanation:
Use the point (15,1) Since the line is proportional, the slope is y/x or 1/15
1/15 this is in minutes
1/15 x 60/1 To convert to hours
4 km per hour
Answer:
4 Km per hour
Step-by-step explanation:
average speed (S) is calculated as
S = [tex]\frac{D}{T}[/tex] ( D is distance and T is time, in hours )
the distance ( vertical axis ) from her home to the newspaper shop is 1 Km
time ( horizontal axis )
from 09 00 to 09 30 has 6 divisions
then 1 division = 30 minutes ÷ 6 = 5 minutes
time to walk to the shop is 3 divisions = 3 × 5 = 15 minutes
15 minutes = [tex]\frac{15}{60}[/tex] of an hour = [tex]\frac{1}{4}[/tex] hour
then average speed from home to newspaper shop is
S = [tex]\frac{1}{\frac{1}{4} }[/tex] = 4 Km per hour
How do you find the nth term of Class 10?.
The nth term of an arithmetic sequence is given by aₙ = a + (n – 1).
A series in which the differences between each pair of following terms are the same is known as an arithmetic progression (AP). A formula for the nth term of the AP could be derived from this kind of progression. Because it follows a pattern where each number is acquired by adding 4 to the preceding term, the sequence 2, 6, 10, 14,... is an example of an arithmetic progression (AP). In this series, the nth term equals 4n-2. By changing the nth term to n=1,2,3,..., the sequence's terms can be obtained. i.e.,
First term when n = 1 is 4n-2 = 4. (1)
-2 = 4-2=2
second term = 4n-2 = 4 when n = 2 (2)
-2 = 8-2=6
The third term is 4n-2 = 4 for n = 3. (3)
-2 = 12-2=10
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What are the 5 triples?.
(3, 4, 5), (5, 12, 13), (6, 8, 10), (9, 12, 15), and (15, 20, 25) are the five most common Pythagorean triples.
Any three positive integers that completely satisfy the Pythagorean theorem are considered Pythagorean triples. According to the theorem, the hypotenuse's square is equal to the sum of the squares of the other two legs of any right triangle. The Pythagorean triples are made up of the right triangle's three sides. In this article, we will learn how to make a few Pythagorean triples.
Pythagorean Triples: What Are They?A set of three positive numbers known as Pythagorean triples conforms to the Pythagoras theorem's formula, which reads as follows: a2 + b2 = c2, where a, b, and c are positive integers. "c" denotes the "hypotenuse," or longest side, and "a" and "b" denote the remaining two legs of the right-angled triangle. (a,b,c) is how the Pythagorean triples are shown. Three, four, and five are the most well-known Pythagorean triples. We are able to demonstrate that the equations 3, 4, and 5 are correct. Find out how! 32 + 42 = 52 ⇒ 9 + 16 = 25. The Pythagorean triples 3, 4, and 5 are depicted in the right-angled triangle below.
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The length of a rectangle is three meters less than four times its width. If the perimeter of the rectangle is 74 meters, what is the length of the rectangle?
The length of the rectangle is L = 29 meters
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P of rectangle = 2 ( Length + Width )
Given data ,
Let the length of the rectangle be represented as L
Let the width of the rectangle be represented as W
Now , Perimeter P of rectangle = 2 ( Length + Width ) = 74 meters
And , length of a rectangle is three meters less than four times its width
Substituting the values in the equation , we get
L = 4W - 3
And , 74 = 2 ( 4W - 3 + W )
Divide by 2 on both sides of the equation , we get
37 = 5W - 3
Adding 3 on both sides of the equation , we get
5W = 40
Divide by 5 on both sides of the equation , we get
W = 8 meters
Now , the length of the rectangle L = 4 ( 8 ) - 3
Length of the rectangle L = 32 - 3 = 29 meters
Hence , the length of the rectangle is 29 meters
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7. I went to get hamburgers. I bought eight and it cost $51.92
How much was each burger?
compute the limit of the given trigonometric function
lim x→0 x csc x =
Answer:8u6
Step-by-step explanation:
8+9_rjs_+5
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 22 cards, which was 2% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
PLEASE HELP ITS DUE IN 5
When 2 percent of cards is 22, then total number of cards that were sold is 1100.
What is percentage?In mathematics, a percentage is a number or ratio that represents a portion of 100. It is just one of a number of ways to represent a dimensionless relationship between two numbers; others include ratios, fractions, and decimals.
Percentages are frequently represented by writing the symbol "%" after a number. Additionally, you can denote them by appending "percent" or "pct" to the end of the number. For instance, the decimal 0.35, the fractions 35/100 and 7/20, and the percentage 35% can all be represented.
Given that 2% of cards is 22 cards, i.e.
2/100 = 22/x
2/100 = 22/x
2x = 100 × 22
2x = 2200
x = 2200/2
x = 1100
Thus, When 2 percent of cards is 22, then total number of cards that were sold is 1100.
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Answer:
When 2% of cards equals 22, the total number of cards sold is 1100.
What exactly is a percentage?
A percentage is a number or ratio that represents a portion of 100 in mathematics. It is one of several ways to represent a dimensionless relationship between two numbers, the others being ratios, fractions, and decimals.
The symbol "%" is commonly used to represent percentages after a number. You can also indicate them by appending "percent" or "pct" to the end of the number. The decimal 0.35, fractions 35/100 and 7/20, and percentage 35%, for example, can all be represented.
So, Given that 2% of cards equals 22.
Explanation:
2/100 = 22/x
2/100 = 22/x
2x = 100 × 22
2x = 2200
x = 2200/2
x = 1100
Therefore, if 2% of cards equals 22, the total number of cards sold is 1100.
Cool Down: A Pot of Water
The function W gives the temperature, in degrees Fahrenheit, of a pot of water on a stove
t minutes after the stove is turned on. After 30 minutes, the pot is taken off the stove.
The range would be [75,212] because the lowest Y value is 75 and the greatest one is around 212.5. .5] a domain and a range.
What is domain and range ?You may recall this by saying "DoLaR RiBiT," where "DoLaR" stands for "domain," "L" and "R" stand for "left to right," "R" stands for "range," and "B" and "T" stand for "bottom to top," and "R" stands for "range." Since the function doesn't approach 250, as can be seen in the graph, 250 is not inside the range.
Between the minimum and greatest value are the numbers that make up the range. The range would be [75,212] because the lowest Y value is 75 and the greatest one is around 212.5. .5] a domain and a range. The collection of values that can be plugged into a function's domain are called its parameters.
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Because the lowest Y value is 75 and the highest one is around 212.5, the range would be [75,212].
You may remind yourself of this by repeating "DoLaR RiBiT," where "DoLaR" stands for "domain," "L" and "R" are "left to right," "R" is "range," "B" and "T" are "bottom to top," and "R" is "range." Since the function doesn't approach 250, as can be seen in the graph, 250 is not inside the range.
1. The numbers that make up the range lie between the lowest and highest value. Because the lowest Y value is 75 and the highest one is around 212.5, the range would be [75,212].
The set of values that can be plugged into the domain of a function is referred to as its parameters.
Thus, the range would be [75,212] because the lowest Y value is 75 and the maximum is somewhere around 212.5.
2. The set of all temperatures that the water can attain is the function's range. The temperature of the water rises quickly at first, then more gradually, and after 30 minutes, it levels off and stops rising altogether, as shown by the graph.
As a result, the range of the function is a range of temperatures, beginning at the water's initial temperature and ending at the water's highest temperature.
3. The time at which the water reaches a temperature of 0 degrees Fahrenheit is represented by the equation W(t) = 0. We can observe from the provided graph that the water temperature rises quickly at first and subsequently more gradually.
The water is therefore unlikely to ever reach a temperature of 0 degrees Fahrenheit. As a result, W(t) = 0 cannot be solved.
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For each of the following systems of equations, decide whether it would be more straightforward to solve the system by substitution or elimination and indicate why. 5x 12y = -47
-2x+12y = 16
Answer:
Adding or subtracting (depending on the missing sign) will eliminate the y term and make it easy to solve for x
Step-by-step explanation:
The first equation is missing a + or - sign
Regardless, it is easier to solve using elimination since the y coefficients are the same.
Adding or subtracting (depending on the missing sign) will eliminate the y term and make it easy to solve for x
What is the area of an equilateral triangle with side √ 3 4 * 1 point?.
Answer:
3/4 square points
Step-by-step explanation:
An equilateral triangle is a triangle with all sides of equal length.
To find the area of an equilateral triangle, we can use the formula:
Area = (√3/4) * (side length)^2
In this case, the side length is √3/4 * 1 point. To calculate the area, we need to square the side length first.
(√3/4 * 1)^2 = (√3/4)^2 * 1^2 = (3/4) * 1 = 3/4
So, the area of the equilateral triangle is 3/4 square points.
Shape ‘S’ can be transformed to shape ‘T’ by the translation:
( 0
−3 )
followed by a rotation.
Describe the rotation.
Angle _____° anti-clockwise
About the point _______
Answer:
15
Step-by-step explanation:
becaue o was thinking and i was like oh search it u0 and i got snswer
In 1940, a coat cost $25.00. Thirty years later, the price increased by 310%. How much more did a coat sell for thirty years later?
Answer: 77.05
Step-by-step explanation:
A right triangle has an angle measure of 32°. What is the measure of one of the other angles in the triangle?
Answer:
58°
Step-by-step explanation:
A right triangle is a type of triangle with exactly one angle equal to 90°. The other two angles sum up to 90°.
A triangle measures 180°. We plug in the given information from the question above…
90° + 32° = 122°
Applying the Triangle Sum Property…
180° - 122° = 58°
the table shows the amount of rainfall above or below average for little town in 2015 and 2016.how much more rainfall did little town receive 2016 than in 2015 2015 -4.17 2016 +2.95
The more rainfall little town will receive 2016 than in 2015 is 7.12
What is associative property of addition?Suppose you've got 3 numbers as a, b, and c.
Then, we have
(a+b) + c = a + (b + c)
This property is called associative property and it is called so because we can associate b with a, or b with c without altering the value of the addition.
Given;
2015 -4.17
2016 +2.95
To find out the more rainfall in 2016;
We will add the two numbers
=4.17 +2.95
=7.12
Therefore, the rainfall after addition will be 7.12
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Rowan spends 20% of his monthly salary on food while spending 30% of the remainder on transport. He saves the rest for clothes. What percentage of the salary does he save for clothes?
In a case whereby Rowan spends 20% of his monthly salary on food while spending 30% of the remainder on transport the percentage of the salary does he save for clothes is 50%.
How can percentage of the salaryon clothes be known?The concept that will be used here is the percentage. A percentage, often known as percent, is a division by 100. Percentage, which meaning "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is.
The percentage of overall value is always 100%
Given : monthly salary on food = 20%
monthly salary on transport = 30%
The percentage of the salary save for clothes = 100% - 30% - 20% = 50%
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What i the ditance between Point P and Point Q on the number line? Enter the anwer in the box
The distance between Point P and Point Q on the number line is the absolute value of the difference between the coordinates of the two points.
In other words, if Point P has coordinate x and Point Q has coordinate y, then the distance between the two points is |x - y|. For example, if Point P has coordinate 3 and Point Q has coordinate 7, then the distance between the two points is |3 - 7| = |-4| = 4. This is because it is measuring the distance between two points in one dimension, that is on the number line.
The number line is a visual representation of the set of real numbers. It is a straight line with points that correspond to the numbers on the line. Each point on the number line corresponds to a unique real number, and the position of the point on the line indicates its value. The numbers on the left side of the number line are generally considered as negatives and the numbers on the right side as positives. The numbers on the line are evenly spaced, with the distance between any two consecutive numbers being the same, typically represented by 1 unit.
This question should be provided as:
What is the distance between Point P and Point Q on the number line?The question is incomplete, thus the answer is general.
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5. Nina is reselling t-shirt and pants, to avail a discount she to order at least 30 t-shirts. If the
discounted price of t-shirt is Php 150. 00 and the price of pant Php 600. 00, at least how many parts
she can buy with Php8. 0. 00?
a. At least 5 b. At least 6
c. At least 8
d. At least 10
The correct option is a. At least 5 which indicates the number of pants that can be bought.
To avail discount Nina needs 30 shirts. So, calculating the cost on buying minimum required number of t-shirts.
So, 150 × 30 = php 4,500
Total php available with Nina = 8,000
Now, leftover money for pants = total money - money spent on t-shirts
Leftover money for pants = 8000-4500
Leftover money for pants = 3500
Now, total pants Nina can buy = leftover money divided by php for pants
So, 3500/600=5
Thus Nina should buy atleast 5 pants.
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prove that:cosA/sinA -sinA/cosA=2cos^2A-1/sinA cosA
Answer:
To prove that cosA/sinA -sinA/cosA=2cos^2A-1/sinA cosA, we can start by multiplying both sides of the equation by sinA cosA:
cosA/sinA -sinA/cosAsinA cosA = (2cos^2A-1)/sinA cosAsinA cosA
Now we can simplify the left side of the equation by using the identity sin^2A + cos^2A = 1:
cosAcosA -sinAsinA = (2cos^2A-1)cosAsinA
Now we can simplify the right side of the equation by using the identity cos^2A = 1 - sin^2A:
cosAcosA -sinAsinA = (2(1 - sin^2A)-1)cosAsinA
Finally, we can simplify the right side of the equation by using the identity sinAcosA = (sinAcosA)/(sinA*cosA):
cosAcosA -sinAsinA = (2(1 - sin^2A)-1)(sinAcosA)/(sinA*cosA)
Since both sides of the equation are equal, we can conclude that the statement is true.
describe and correct the error in using properties of parallelograms
Answer:
see explanation
Step-by-step explanation:
• the diagonals bisect each other
that is the point F is the midpoint of both diagonals GJ and KH
Note that GJ ≠ KH
Then
GF ≅ FJ
KF ≅ FH
your error is in that you have mixed up the appropriate diagonals
6) Desirae works in a gift shop. She received a large order that requires her to prepare 25 gift baskets. Each
basket takes her 3/4 of an hour to put together, and there are 5 baskets already assembled that Desirae can
use for this order.
a) Write an expression or an equation that can be used to find the number of baskets Desiree can
assemble in 6 hours.
b) If Desirae spends 6 hours per day assembling gift baskets, how many days will it take her to complete
the order? Show your work or give an explanation.
Using Algebraic expressions, the number of baskets Desiree can assemble in 6 hours is 4.5. It will take her 5.5 days to complete the order.
We are describing an algebraic expression when we explain an expression in words that has a variable (an expression with a variable). For instance, the algebraic expression for "3 more than x" can be written. x + 3 x+ 3 x+3 .
According to the question,
Using Algebraic expressions,
Each basket takes her 3/4 of an hour to put together
5 baskets already assembled that Desirae can use for this order
a) the number of baskets Desiree can assemble in 6 hours = 3/4 × 6
= 4.5 baskets
b) Total baskets to prepare = 25
Days it will take her to complete the order = 25/4.5
= 5.5 days.
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What is the product of 3 fractions?.
The product of three fractions is acquired by multiplying the numerators and then multiplying the denominators of the three fractions to get the product fraction.
To find the product of any 3 fractions, multiply the three numerators. After that, multiply the three denominators. After the product of numerators and denominators, write them as fractions. This method will provide the product of 3 fractions in fractional form. To obtain this fraction in decimal form, divide the numerator of the fractional product by its denominator.
For example, consider the fractions 1/5 × 2/5 × 3/5.
In this, first multiply all the numerators: 1×2×3 = 6
Similarly, multiply all the denominators: 5×5×5 = 125
Now, the product of the three fractions is 6/125.
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What happens when you create a Cartesian product Mcq?.
All feasible ordered pairs of the elements of the original sets are produced by multiplying two sets.
The Cartesian product in SQL is a brand-new table created from two existing tables. The Cartesian product table will have three and four lines if the two tables have three and four lines, respectively. Every row from the first table so connects every row from the second table.
All feasible ordered pairs of the elements of the original sets are produced by multiplying two sets. The Cartesian product entails numerous computations, many of which are typically redundant. Therefore, we advise utilizing the qualifier operators for huge tables.
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Complete the equation of the line through
(
−
6
,
5
)
(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and
(
−
3
,
−
3
)
(−3,−3)left parenthesis, minus, 3, comma, minus, 3, right parenthesis.
Use exact numbers.
An equation of the line through the points (-6, 5) and (-3, -3) is y = -8x/3 - 11.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Next, we would determine the linear equation representing the line which passes through the points (-6, 5) and (-3, -3) by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 5 = (-3 - 5)/(-3 + 6)(x + 6)
y - 5 = -8/3(x + 6)
y - 5 = -8x/3 - 16
y = -8x/3 - 16 + 5
y = -8x/3 - 11
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Can someone pls help me :((((((((
Why would Feynman say Phlogiston Theory was not scientific?
Feynman says Phlogiston Theory was not scientific is because it didn't utilized methods that were related to science.
What is Phlogiston Theory about?The phlogiston theory, a debunked scientific hypothesis, suggested that combustible bodies contained a fire-like substance called phlogiston, which was released during combustion. Johann Joachim Becher first put forth the concept in 1667, and Georg Ernst Stahl later formalized it. Phlogiston theory sought to explain oxidation, the modern term for chemical processes like combustion and rusting.
According to the phlogiston theory, when something is burned, it dephlogisticates, releasing stored phlogiston that is then taken in by the air. The phlogiston is then absorbed by developing plants, which is why air does not spontaneously ignite and why plant matter burns so effectively.
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