3P=C-5 is the equation relating the number of carrots that Pio has compared to Claudine, Pio has 5 carrots when Claudine has 20 and if pio has 10 then the number of carrots with Claudine are 35
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Rustam has three times as many carrots as Pio
R=3P
Where is Rustam, P is Pio and C is Claudine.
Rustam has 5 fewer carrots that Claudine.
R=C-5
3P=C-5 is the equation relating the number of carrots that Pio has compared to Claudine.
Now let us find the number of carrots Pio has when Claudine has 20
3P=20-5
3P=15
Divide both sides by 3
P=5
Pio has 5 carrots when Claudine has 20.
Now if pio has 10 then the number of carrots with Claudine
3(10)=C-5
30+5=C
35=C
Hence, 3P=C-5 is the equation relating the number of carrots that Pio has compared to Claudine, Pio has 5 carrots when Claudine has 20 and if pio has 10 then the number of carrots with Claudine are 35
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Thanks if you help and hope you have a great day
Answer:
its increases by 10 degrees
Step-by-step explanation:
I dont understand this question I need help on how to work it out.
Answer:
108 cm
Step-by-step explanation:
You need to figure out the area of both triangles and then add them to the area of the rectangle. The area of the rectangle can be found like:
12x5=60.
Then, you need to find the are of the triangles. We are told the height of the hexagon is 13cm, and that the height of the rectangle is 5cm. So, the area of the height triangles is 13-5cm and to get the height of the original triangles we will do:
13-5=8/2=4.
Next, we need to find the area of the triangles. That is calculated using the formula a=(1/2)bh. The base is 12 cm (same as the bottom rectangle side) and the height, as found in the previous problem is 4cm. So, what we will do is:
a=(1/2)4*12=24.
The area of one triangle is 24, so we will add that to get the triangles combined area, to 48. The total area of the shape comes by adding all the areas of the shaped found inside it.
60+48=108. So the area of the hexagon is 108 cm.
Write a linear function ƒ with ƒ(0) = 2 and ƒ(5) = −3
Answer:
f(x) = - x + 2
Step-by-step explanation:
the equation of a linear function in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
f(0) = 2 means y = 0 when x = 2 and f(5) = - 3 means y = - 3 when x = 5
thus there are 2 points (2, 0 ) and (5, - 3 )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (5, - 3 )
m = [tex]\frac{-3-2}{5-0}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1
the line crosses the y- axis at (0, 2 ) ⇒ c = 2
then
f(x) = - x + 2
randomly select a customer that takes the bus to our store. randomly select a customer that drove to our store. are these events mutually exclusive? exclusive events
The event of customer taking the bus and driving to the store are not dependent and hence are mutually exclusive events.
What is set theory?Since it is used to calculate the probabilities of events, set theory is highly well-liked in the fields of statistics and mathematical theory. When the likelihood of the two occurrences occurring simultaneously is equal to the probability of the events occurring separately, the events are said to be independent.
Given that A is the customer that takes the bus and B is the customer that drove to the store. Since, the two events do not have a relation with each other, they are considered to be independent event and hence they are mutually exclusive.
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Simplify.
Remove all perfect squares from inside the square roots. Assume x and z are positive.
V72x323
the expression can be simplified to V72√37x323 + V a√z.
V72x323 + Vz = V(72x323 + z)
Since the square roots contain two different terms, we cannot simplify them any further. However, we can remove any perfect squares that are contained inside the square roots. To do this we can factor out the perfect squares from the terms inside the square roots.
For the first square root, 72x323 = 72 x 9 x 37. Since 72 and 9 are both perfect squares, we can factor out these terms to get 72√37x323.
For the second square root, z = a2, where a is a positive real number. We can factor out the perfect square a2 to get a√z.
Therefore, the expression can be simplified to V72√37x323 + V a√z.
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select which shortcut can be used to prove that this pair of triangles are similar. If no method applies, choose none.
answers
A hypotenuse-leg
B angle angle similarity
C side angle side similarity
D side side side similarity
E None
to estimate the true mean speed of vehicles traveling on a particular section of roadway, a speed-detection device is programmed to measure the speed of the first 100 vehicles that pass it. are the conditions for constructing a t confidence interval met? no, the random condition is not met. no, the 10% condition is not met. no, the normal/large sample condition is not met. yes, the conditions for inference are met.
It's difficult to say whether the conditions for constructing a t-confidence interval are met based on the information provided. To construct a t-confidence interval, three conditions must be met:
The sampling method must be random. It's not specified in the problem whether the method of selecting the vehicles was random or not, so it's impossible to say whether this condition is met.
The sample size must be large enough. A sample size of 100 vehicles is considered to be large enough for the normal/large sample condition to be met.
The population must be approximately normally distributed or the sample size must be large. Since the problem does not specify anything about the distribution of the population, it is not clear if this condition is met.
Given that the information provided does not give enough details to state whether the conditions for constructing a t-confidence interval are met or not.
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Over the summer, for every 13 orka seeds Dana planted, 8 grew into plants. if he planted 130 orka seeds, how many grew into plants
Answer:
80 grow into plants
Step-by-step explanation:
Fraction word problems:
Out of 13 seeds, 8 grew into plants.
[tex]\sf \text{Number of seeds grown out of 130 okra seeds} = \dfrac{8}{13}*130[/tex]
= 8 * 10
= 80
Out of 130 seeds, 80 grow into plants.
18. 11,9, 22, 20, 33, 44, ?, ? (a) 55, 54 (b) 43,55 (c) 55,53 (d) 41, 55 (e) 42, 55
This question is based on the concept of sequence. Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.
Find the sequence ?This question is based on the concept of sequence. Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.
Given:
Sequence is 55, 44, 33, 22, ...
We need to find the next two terms in the sequence.
According to the question,
Now, calculating the common difference of arithmetic sequence.
d1 = 44 - 55 = -11
d2 = 33 - 44 = -11
Hence, the common difference d is -11.
Now, calculating the next two terms of given sequence.
We know that,
a5 = 55+ (4) * (-11)
a5=55-44
a5 = 11
a6 = 55+(5)*(-11)
a6 = 55- 55
a6 = 00
This question is based on the concept of sequence. Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.
Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.
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consider an urn with 3 red balls, 2 blue balls, and 7 black balls. three balls are selected at random with replacement, i.e. each time a ball is selected it is returned to the urn. (a) what is the probability of selecting one red and two black balls? (b) what is the probability of selecting exactly two black balls? (c) what is the probability of selecting exactly two balls of the same color?
(a) 21/144 probability of selecting 1 red and 2 black. (b) 35/144 probability of selecting 2 black. (c) 61/144 probability of selecting 2 same color.
What is probability ?
Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will occur with certainty. The probability of an event can also be expressed as a percentage or a fraction. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
(a) The probability of selecting one red and two black balls is (3/12) * (7/12) * (7/12) = 21/144.
(b) The probability of selecting exactly two black balls is (7/12) * (7/12) * (5/12) = 35/144.
(c) The probability of selecting exactly two balls of the same color is (3/12) * (3/12) + (2/12) * (2/12) + (7/12) * (7/12) = 61/144.
(a) 21/144 probability of selecting 1 red and 2 black. (b) 35/144 probability of selecting 2 black. (c) 61/144 probability of selecting 2 same color.
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there are sticks of lengths . how many incongruent triangles can be formed by using three of the given sticks?
It depends on the lengths of the sticks. If the lengths form a triangle, then three incongruent triangles can be formed.
1. First, check to see if the lengths of the sticks form a triangle. This can be done by comparing the lengths of the sticks to the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the measure of the third side.
2. If the lengths of the sticks form a triangle, then three incongruent triangles can be formed by using the given sticks. To do this, take any three sides of the triangle and create three different triangles with those sides.
It depends on the lengths of the sticks. If the lengths form a triangle, then three incongruent triangles can be formed.
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a ferris wheel with a radius of 10m is rotating at a rate of one revolution every 2 minutes. how fast is a rider rising when his seat is 16m above ground level?
With a speed of 0.419 m/s, the rider fast is a rider rising when his seat is 16m above ground level
The formula for tangential velocity is 2*pi*r/T --> 2*pi*10/120 --> pi/6.
It is 6 meters above the center of the wheel while the rider is 16 meters above the ground.
The horizontal portion of this distance must be 8 meters as its separation from the wheel's center is 10 meters (depending on the radius).
This indicates that the velocity and seat both make angles of 36.87 degrees off vertical and arctan(6/8) over the origin, respectively.
We will take into account the vertical component of the tangential velocity since the rate at which the seat is rising is what we're interested in.
Pi/6 * cos(arctan(6/8)) yields a value of 0.419 m/s.
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a bag of fruits contains 10 peices of fruit chosen randomly from a bin of apples and oranges. what is the probability the bag contains at least 6 oranges
The probability of getting at least 6 oranges in a bag of 10 fruits is the sum of probability of getting 6 oranges, probability of getting 7 oranges, probability of getting 8 oranges, probability of getting 9 oranges and probability of getting 10 oranges.
We can use the binomial probability formula to calculate the probability of getting at least 6 oranges in a bag of 10 fruits, which is:
P(X >= 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)
Where X is the number of oranges in the bag, and the probability of getting an orange is p and the probability of getting an apple is (1-p)
Now, since we don't know the proportion of oranges to apples in the bin, we can't find p. However, we can use the cumulative binomial distribution function to find the probability of getting 6 or more oranges in a bag of 10 fruits.
The cumulative binomial distribution function is the probability of getting r or less successes in n trials, where a success is getting an orange and a failure is getting an apple.
So
P(X >= 6) = 1 - P(X <= 5)
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Your cousin goes to a private school where they have to buy their own textbooks. When he registers for classes he pays $230 to cover a book for each of his 7 classes plus a $20 fee for his art class. Write a two-step equation for this scenario then find the cost of each of his textbooks.
The two step equation for the scenario that your cousin is in where they pay for their textbooks is:
7x + 20 = 230
x = (230 - 20) / 7
The cost of the textbooks would be $30.
How to write the two - step equation ?The total amount paid by your cousin in order to be able to cover a book for their 7 classes and the fee for art class is $ 230.
Assuming that the cost of each book from his 7 classes is denoted as x, then the expression would be:
= 7 x number of classes
= 7x
This amount is then added to the cost of the art class which is $ 20 so it becomes:
= 7x + 20
The two step equation is therefore:
7x + 20 = 230
x = (230 - 20) / 7
The cost of the textbooks is:
x = (230 - 20) / 7
x = $ 30
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Mrs. Morales wrote a test with 15 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. a. Write an equation in slope -intercept form to represent the number of questions on the test. _ b. Write an equation in slope-intercept form to represent the total number of points on the test. _. c. Graph the solutions of both equations . d. Use your graph to te ll how many of each question type are on the test.
A) y=-x+15
B) y=-1/2x+10
D) The graphs intersect at x=10,y=5 And spelling questions are 10 and vocabulary questions are 5.
Step-by-step explanation:
Total number of question is 15,
So,
x+ y=15
y=-x+15
B) Total number of points possible is 100
5x +10y=100
x+2y=20
2y=-x+20
y=-1/2x+10
D) The graphs intersect at
x=10,y=5
So spelling questions are 10 and vocabulary questions are 5.
According to the slope-intercept form, the slope-intercept form of the line is given by the equation y = mx + b, where m is the line's slope and (0,b) is its y-intercept. Ax + By = C is the method for a linear equation in standard form, where A, B, and C are real numbers.
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Greg made pudding every weekend. The more times he made pudding, the more practice he gained. The time he took to make the same amount of pudding every week decreased with practice. The function below shows the number of hours f(x) Greg took to make pudding after he had made it x times: f(x)
The function below shows the number of hours f(x) Greg took to make pudding after he had made it x times is f(x) = 2(0.8)ˣ and the graph of the function is attached below.
The term function in math is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Here we have given that Greg made pudding every weekend.
And here we also know that the more times he made pudding, then the more practice he gained.
According to the time he took to make the same amount of pudding every week decreased with practice.
Here we need to write the function below shows the number of hours f(x) Greg took to make pudding after he had made it x times.
Then the function is written as,
=> f(x) = 2(0.8)ˣ
While we plot the function on the graph then we get the graph like the following.
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what is the sum of the two largest 2-digit distinct counting numbers that are not multiples of 1, 2, or 5?
The sum of the two largest 2-digit distinct counting numbers is 45
The term sum in math is defined as the result of arithmetically adding numbers or quantities
Here we have given that we need to find the sum of the two largest 2-digit distinct counting numbers that are not multiples of 1, 2, or 5.
By using the arithmetic progression here we have all two digit odd positive numbers are 11, 13, 15, 17, ...., 99. which are in AP with the value of
=> a=11,
=> d=2,
=> l=99
Then let the number of terms be n, then it can be calculated as,
=> an=99
=> a+(n−1)d=99
Apply the values on it, then we get,
=> 11+(n−1)×2=99
When we simplify this one then we get the value of n as 45
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A certain car costs $25,000 new, but loses 8% of its original value with every passing year. What is an expression for the cost (C) of the car after y years of use? A. C=-08y*25000B. C=-2000y+25000 C. y = -8c+23000 D. 2000C - 25000 E. C = 2000y - 25000
2500 - 2000y is value with every passing year. is an expression for the cost (C) of the car after y years of use.
What does "cost simple" mean?
The amount of money that a business had to spend on the production of its goods or services is known as the cost. It is calculated as the sum that the business spends to create a specific number of a product.
In plain English, it is the cash a business spends on things like labor, services, raw materials, and more.
The cost of the car is $25,000
and it loses its original value by 8%
.
Hence the cost of the car after y years = $(2500 - 2500 * 0.08 * y)
= $(2500 - 2000 * y
= 2500 - 2000y
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Question 2 (1 point)
Square UVWX is dilated by a scale factor of 8. Which algebraic representation represents
how to find the coordinates of square u'v'w'x'?
a (x,y) → (x,y)
b (x,y) → (x, y)
c (x,y)-(x,y)
d (x,y) → (8x, By)
The rule of transformation will be (x,y) → (8x, 8y). Then the correct option is D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
Square UVWX is dilated by a scale factor of 8.
Then the rule of transformation is given as,
(x,y) → 8(x, y)
(x,y) → (8x, 8y)
The rule of transformation will be (x,y) → (8x, 8y). Then the correct option is D.
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Help, needed ASAP, Thank you!!
Answer:
x = 4
Step-by-step explanation:
For this question we can use the theorem which states that "if the chords of a circle is equal, it is equidistant from the center."
Therefore, FC = CE
or 3x + 8 = 8x - 12
5x = 20
x = 4
Pls mark as brainliest. Cheers
Need help on this algebraic question!
Thank you
$39.99+238.8+1.75x and $4.99=1.99x+$40 are the algebraic expressions of given data.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given that $39.99 /month, unlimited texting , 120MB data (Overages $1.99 /MB talk is $1.75 /minutes
$39.99+120(1.99)+1.75x
$39.99+238.8+1.75x
$4.99 /month, unlimited texting ,$40 for 80MB data talk is $1.99 /minutes
$4.99+1.99x+$40
Hence, $39.99+238.8+1.75x and $4.99+1.99x+$40 are the algebaic expressions of given data.
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Consider the parent function f (x) below.
1. Graph f(2x) in the color green below.
2. Graph -3f(x) in the color blue below.
3. Graph 2f (2x) in the color red below.
Help asap :)
In this subsection, we examine the ways in which the graphs of functions alter or transform as a result of certain, specialized adjustments to their formulations.
What is Transformations?We shall present the transformations in the following order: shifts, reflections, and scalings. The transformations we will investigate can be broadly divided into these three types. Consider the full graph of a function f to be the graph shown below.In order for the point (a, b) to be on the graph, f(a) = b, according to the Fundamental Graphing Principle for Functions. To be more specific, we know that f(0) = 1, f(2) = 3, f(4) = 3, and f(5) = 5.To refresh our memories on what g is doing, let's pause for a moment. With an input of x into the function f, we can then get the f as the result (x).G adds 2 to the output of the function f(x). Graphing the points (x, g(x)) is required in order to graph g. The correct response is that we only require the values of f and do not require a formula for f(x) (x). On the graph of y = f, the y values correspond to the values of f(x) (x). We can create the following table, for instance, using the points shown on the f graph.In general, if the pair (a, b) is on the y = f(x) graph, then f(a) = b, and g(a) = f(a) + 2 = b + 2. The result is that (a, b+ 2) is on the graph of g. Alternatively said, we multiply the y-coordinate of each point on the graph of f by 2 to produce the graph of g. Geometrically, a point travels 2 units higher when its y-coordinate is multiplied by 2. Typically, "moving the graph up 2 units" refers to collectively adding 2 to each y-coordinate on a graph. The graph is only two units above its original place, but it still has the same basic structure as previously.To Learn more About transform refer To:
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Help me please yall id appreciate it
Is used to estimate the concentration of viable microorganisms in a sample by means of replicating liquid broth growth in ten-fold dilutions.
Find the measure of <IMN?According to the Side Angle Side (SAS) postulate, two sides and the included angle of one triangle must be congruent to two sides and the included angle of another triangle in order for these two triangles to be considered congruent.
A is measured at a 40° angle. Measurement in mathematics refers to the quantification of a variety of quantities, including length, weight, capacity, and volume. Any amount is measured and expressed in two parts: a numerical value and the particular unit.
The most often measured quantities are the following: Length. Measurement units can be expressed in writing as symbols, words, or abbreviations. Use the following words for fundamental measuring units: 25 pounds, 12 inches. Use the following symbols to denote derived units of measurement: 38 mph, 27 ft/s2.
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Find the value of x. Round your answer to the nearest tenths.
In a trapezium, the sum of the outer angles is always equal to 360 degrees because, in any convex quadrilateral, the sum of the four angles is consistently 360 degrees. As a trapezium is a type of convex quadrilateral, the sum of its four angles is 360 degrees, regardless of its shape or size.
Solve for xWe can simplify this equation by combining like terms on one side and isolating the variable on the other.
First, combine like terms: x + 5 + 3x - 8 + 5x + 10 + x + 10 = 360
(x + x) + (5 + 10 + 10) + (3x + 5x) = 360
10x + 17 = 360
Then, subtract 17 from both sides to isolate the variable on one side:
10x = 343
Finally, divide both sides by 10 to solve for x:
x = 34.3
So the solution to the equation is x = 34.3
The price of a jumper is increased by 99% $210.94
Find the original price.
The answer is in $.
Answer:
$208.8
Step-by-step explanation:
99% of $210.94
u just need to multiply
In a 19% sale the price of a shirt reduced by $77.33.
Find the original price of the shirt.
Answer in $.
The original price of the shirt is $407
What is percentage discount?
Percentage discount is a discount that is given to a product or service that is given as an amount per hundred.
From the question, to find the original price of the shirt
We use the equation:
0.19/100 =77.33/x
0.19x = 7733
dividing both side of the equation by 0.19
x=40700\100
x = 407
Hence, the original price of the shirt before the discount is $407
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How many different angles are formed at the Vertex A (only count inside the figure)?
Answer: 10
Step-by-step explanation: I counted
The number of different angles formed at the vertex A is 10.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given is a figure.
We have to calculate the number of angles formed at A.
The biggest angle is ∠BAG.
There are 3 other other angles starting from B to C, E and F through A.
There are 3 angles starting from C to E, F and G through A.
2 angles are starting from E to F and G through A.
There is 1 angle starting from F to G through A.
Total number of angles formed at A = 1 + 3 + 3 + 2 + 1 = 10
Hence the total number of angles formed at A is 10.
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Alberto, bill, candela and diana are four friends
Here is some information about the height of each of these friends
Albertos height is 158 cm
bills height is 175cm
candelas height is greater than dianas height
the median height of these four friends is 160 cm
the range of the heights of these four friends is 21cm
work out candelas height and dianas height
Answer:
Candelas - 154cm
Dianas - 162 cm
Step-by-step explanation:
Median is the mean of the two middle numbers when the numbers are arranged in an ascending order.
We will first have to workout the order when they are placed in ascending order.
Note: Everything here is in ascending order.
Albertos cannot be the shortest as if that happened, the median will not be 160 (Dianas will have to be 179cm as the given range is 21 cm and the mean of Candelas and Bill can never be 160 cm.)
Albertos will have to be second as it cannot be third.( The median will not be 160 when the third number is greater than the second number.)
Now, Dianas will have to be third. ( It can't be first, nor it can be fourth as the median of the height will not be possible to be 160 again without changing the order.)
So, next, obviously, Candelas is first.
So, the order is,
Candelas, Albertos, Dianas, Bill
or,
Candelas , 158, Dianas, 175cm.
Dianas is 162 cm if the mean of 158 cm and Dianas's height is 160 cm.
Candelas's height is 175 - 21 = 154 cm
So the height of Candelas is 154 and height of Dianas is 162.
Find the value of X and Y
==========================================================
Explanation:
Let z be adjacent to angle y, and angle z is inside the triangle on the right.
Adding up the inside angles of any triangle always gets us to 180 degrees.
We'll use this fact to find z.
z+30+50 = 180
z+80 = 180
z = 180-80
z = 100
Angle y and angle z are supplementary angles. They form a straight line of 180 degrees.
So,
y+z = 180
y+100 = 180
y = 180-100
y = 80
--------------
We can follow the same steps as in the previous section to determine that angle x is 110 degrees.
A shortcut is to use the Remote Interior Angle Theorem.
This theorem says that adding two interior angles will get us the exterior angle that isn't adjacent to either interior angle mentioned.
Notice for instance that angle x is not adjacent to the bottom-left 30 degree angle nor is it adjacent to angle y.
Furthermore, you could use the Remote Interior Angle Theorem to determine the measure of angle y. Note how y = 30+50 = 80. This time the "30" we focus on here is inside the triangle on the right.
Determine the partial fraction expansion for the rational function below. s ( ) (s – 7)(s? - 49) S (s - 7) (s2 - 49) Determine the partial fraction expansion for the rational function below. -25-56 (5+3) (s+ 16) - 2s - 56 II (s +3)(s? + 16)
The partial fraction expansion for the rational function is:-25/((s+3)(s + 16)) + 56/((s+3)(s2 + 16)) - 2s/((s+3)(s2 + 16))
To determine the partial fraction expansion for the rational function, we first need to factor the denominator into two linear factors. This can be done using the Factoring by Grouping method. We will factor the denominator of the rational function as follows:
(s+3)(s2 + 16)
Now, we can write the partial fraction expansion for the rational function as:
-25/((s+3)(s + 16)) + 56/((s+3)(s2 + 16)) - 2s/((s+3)(s2 + 16))
The partial fraction expansion for the rational function is -25/((s+3)(s + 16)) + 56/((s+3)(s2 + 16)) - 2s/((s+3)(s2 + 16)).
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