The distance, that car will travel in 15 minute, is 28 km.
What is speed, distance and time?The formula used to explain the relationship between speed, distance, and time is speed distance time.
That is speed = distance/ time
So, distance = speed * time
Alternatively, you can calculate the time by dividing the distance traveled by the speed. You can figure out the third input if you know two of the inputs.
Given Speed of car = 112 km per hour
Time = 15 minutes = 15/60 hour
Time = 1/4 hour
Distance traveled by car in 15 minute = Speed of car * time
Distance = 112 * 1/4
Distance = 28 km
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Please help I’m bad at graphs
Answer:
Step-by-step explanation:
(0,8)
Given: AB=CB, CD=ED, Prove: AB // DE
The proofing of the triangle is shown below.
How to proof the triangleA triangle is a shape which has three sides and the sum of the three angles is equal to 180 degrees.
We have, Triangle ABC and Triangle CDE
Both triangles are equilateral. This means, three sides are equal and the angle opposite to the side is also equal.
Now, ∠ACB and ∠DCE are vertical angles.
Vertical angles are equal. If ∠ACB and ∠DCE are equal.
The sides opposite ∠ACB and ∠DCE are also equal.
This means, AB = DE
Now, If AB = DE
We can say that, AB is parallel to DE
Thus, AB // DE
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if the probability that team a will win any particular game against team b is 1/3, what is the probability that team a will win the world series?
Knowing the format of the series, such as the number of games and the requirements for series victory, is necessary to calculate the likelihood of winning the World Series (e.g., best-of-seven, first team to win four games, etc.).
Using the chance of winning any given game versus team B, which is given as 1/3, you would then need to compute the likelihood of winning each specific game.
The likelihood that team A will win the World Series may be computed as the total of the probabilities of winning each individual game, for instance, if the World Series is a best-of-seven series and team A wins each game with a probability of 1/3.
A binomial distribution, which simulates the number of successes in a certain number of Bernoulli trials with a fixed chance of success for each trial, can be used to do this.
It is impossible to calculate the likelihood that team A will win the World Series without further details about the World Series' structure and the results of each game.
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WILL GIVE brainliest ASAP HELPP
An expression that represents the total area of Meiling's new deck is 4.3x + 29.67.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Given:
An architect plans to build an extension to Meiling's rectangular deck.
Let x represent the increase, in meters, of her deck's length.
The expression 4.3(x+ 6.9) represents the area of the deck,
where 4.3 is the width in meters and (x + 6.9) represents the extended length in meters.
Using the Distributive Property to write an expression that represents the total area of Meiling's new deck.
A = 4.3(x+ 6.9)
A = 4.3x + 29.67
An expression that represents the total area of Meiling's new deck is 4.3x + 29.67.
Hence, area is 4.3x + 29.67 square meters.
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Pls pls pls Help I suck at math
Write an appropriate number in the cage
(5²)³ = 5□
and
Evaluate. log₃9
Answer:The appropriate number in the cage for the first equation is:
(5²)³ = 5³
The evaluation for log₃9 is:
log₃9 = 2
Step-by-step explanation:
Compare using
>
,
<
,
>,<,is greater than, comma, is less than, comma or
=
=equals.
72
×
3
7
72×
7
3
72, times, start fraction, 3, divided by, 7, end fraction, space
72
72space, 72
How do you know your answer is correct?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Because we are multiplying
72
7272 by a fraction that is less than
1
11.
(Choice B)
B
Because we are multiplying
72
7272 by a fraction that is equal to
1
11.
(Choice C)
C
Because we are multiplying
72
7272 by a fraction that is greater than
1
11.
The examination of the results of the two numerical articulations, 72 × 3 and 72 × 7, can be resolved utilizing the duplication administrator (×). 72 × 3 = 216 and 72 × 7 = 504.
While contrasting the results of these two expressions, we can see that 504 is more prominent than 216. This can be addressed as 504 > 216.
This implies that when 72 is duplicated by 7, the outcome is more prominent than when 72 is increased by 3.
This is on the grounds that 7 is a bigger number than 3, and thus, when it is increased by 72, the outcome will be bigger. All in all, the expression 72 × 7 delivers a more noteworthy worth than the expression 72 × 3.
All in all, the examination between 72 × 3 and 72 × 7 outcomes in 72 × 7 being more prominent than 72 × 3, or 504 > 216.
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Which of the following correctly represents the probability of a randomly selected purchase having at most three tickets? P(X ≤ 3) P(X < 3) P(X ≥ 3) P(X > 3)
The probability of a randomly selected purchase having at most three tickets is P(X ≤ 3). Option A
What is probability?Probability is defined as a branch of mathematics that involves numerical descriptions of the likelihood of the occurance of an event, or how likely the possibility of the proposition.
The probability of an event is a number that is between 0 and 1.
Given that;
0 indicates impossibility of the event 1 indicates certainty of the event.From the information given, we have that;
the probability of a randomly selected purchase having at most three tickets
This means that the probability is less than or equal to and not only less than ore greater than 3
Hence, the probability is P(X ≤ 3)
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at a school assembly, 3 out of 10 students were wearing spirit wear. based on the information, if 400 students were at the assembly, then how many students would be expected to have on spirit wear?
The number of students who were wearing spirit wear at the assembly is = 120.
As given in Question that 3 out of 10 students were wearing spirit were.
if we have these type of Question then we will find the fraction part for 1 student as given 3 out of 10 then the fraction part for 1 will be = 3/10 = 0.3
for 1 student there is 0.3 fraction of students has wear spirit wear
so for 400 students were at the assembly
for 1 fraction is 0.3
for 400 = 400*(0.3 )= 120
Here 120 students were wear spirit wear in assembly
as like type we can solve for any number of students who were in assembly . like if there is 500 student the we can do like 500*.03 = 150 students.
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9) Brady has a mortgage with North End Bank The bank requires that he pay his homeowner's insurance property
taxes, and mortgage in one monthly payment. His monthly mortgage payment is $1,328, his semi-annual property
tax bill is $2,987, and his quarterly homeowner's insurance bill is $334. How much does Brady pay North End Bank
each month?
Answer:
Step-by-step explanation:
The semi-annual property tax bill is $2,987 and since it is semi-annual, he pays $2,987/2 = $1,493.5 each quarter.
So, each quarter he pays $1,493.5 + $334 = $1,827.5 for property taxes and homeowner's insurance.
And, each month he pays $1,827.5/3 = $609.17 for both property taxes and homeowner's insurance.
So, the total monthly payment he pays to North End Bank is $1,328 + $609.17 = $1,937.17.
PLEAAAAAAASE HELP MEEEEEEEEEEEEE I WILL GIVE BRAINLIEST!
The values for each of the question is given below.
What is Arithmetic Sequence?Arithmetic sequence is a sequence of numbers where the numbers are arranged in a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference, 'd'.
5. aₙ = 25.5 - 6.8n
a₁ = 25.5 - (6.8 * 1) = 18.7
a₂ = 25.5 - (6.8 * 2) = 11.9
a₃ = 25.5 - (6.8 * 3) = 5.1
a₄ = 25.5 - (6.8 * 4) = -1.7
a₁₀ = 25.5 - (6.8 * 10) = -42.5
6. aₙ = 25 - 10n
substituting the value of n and solving, we get,
a₁ = 15, a₂ = 5, a₃ = -5, a₄ = -15, a₅ = -25
7. aₙ = 11 + 9n
a₁ = 20, a₂ = 29, a₃ = 38, a₄ = 47, a₆ = 65
8. aₙ = 65 - 35n
a₁ = 30, a₂ = -5, a₃ = -40, a₄ = -75, a₉ = -250
The formula to find the nth terms of an arithmetic sequence is aₙ = a₁ + (n - 1)d
9. a₁ = 25, d = 100
aₙ = 25 + 100(n - 1)
a₂ = 125, a₃ = 225, a₄ = 325
10. a₁ = 5, d = 5
aₙ = 5 + 5(n - 1)
a₂ = 10, a₃ = 15, a₄ = 20
11. a₁ = 24, d = -15
aₙ = 24 - 15(n - 1)
a₂ = 9, a₃ = -6, a₄ = -21
12. a₁ = 9, d = -50
aₙ = 9 - 50(n - 1)
a₂ = -41, a₃ = -91, a₄ = -141
Hence each of the values are found.
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Anna works in a department store selling clothing. She makes a guaranteed salary of $450 per week, but is paid a commission on top of her base salary equal to 15% of her total sales for the week. How much would Anna make in a week in which she made $2400 in sales? How much would Anna make in a week if she made
x dollars in sales?
Total earnings when selling $2400:
Total earnings when selling $x:
Anna's total earnings in a week with $2400 in sales would be $810. Her total earnings in a week with $x in sales would be $450 + ($x * 0.15).
Explanation:Anna makes a guaranteed salary of $450 per week, and she earns a commission of 15% on her total sales. To calculate her total earnings in a week when she made $2400 in sales, we need to find her commission and add it to her base salary. The commission can be calculated by multiplying her total sales by 15%, which is $2400 * 0.15 = $360. Therefore, Anna's total earnings for that week would be $450 + $360 = $810.
To calculate Anna's total earnings in a week when she made $x in sales, we would follow the same process. The commission would be $x * 0.15, and this amount would be added to the base salary of $450 to determine her total earnings.
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Joey is selling tickets for his new play. He sold 15 more adult tickets than children tickets. He sold 3 times as many senior tickets as children tickets.
Define the variables: _________________________________________________ Write an expression to represent the number of adult tickets sold ________________ Write an expression to represent the number of children’s tickets sold _____________
Variables: A = Adult tickets, C = Children tickets, S = Senior tickets
Expression for number of adult tickets sold: A = 15 + 3C
Expression for number of children's tickets sold: C = S/3
Let's define our variables:
A = Adult tickets
C = Children tickets
S = Senior tickets
We know that Joey sold 15 more adult tickets than children tickets. This means that the number of adult tickets (A) is 15 more than the number of children tickets (C). We can write this as an expression: A = 15 + C
We also know that Joey sold 3 times as many senior tickets as children tickets. This means that the number of senior tickets (S) is 3 times the number of children tickets (C). We can write this as an expression: S = 3C
Now, we can combine these two expressions to solve for the number of adult tickets sold. We can substitute the expression for S (3C) into the expression for A (15 + C) and solve for C.
Substituting 3C for S in A = 15 + C, we get: A = 15 + 3C
This expression tells us that the number of adult tickets sold (A) is equal to 15 plus 3 times the number of children tickets sold (C).
To solve for the number of children tickets sold (C), we can use the expression for S (3C). We can divide both sides of the equation by 3 to solve for C.
Dividing both sides by 3, we get: C = S/3
This expression tells us that the number of children tickets sold (C) is equal to the number of senior tickets sold (S) divided by 3.
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Define the variables: Let x be the number of children's tickets sold.
Write an expression to represent the number of adult tickets sold: The number of adult tickets sold can be represented as x + 15.
Write an expression to represent the number of children's tickets sold: The number of children's tickets sold can be represented as x.
In this problem, we are asked to represent the number of adult and children's tickets sold in terms of a single variable, x. The given information is that Joey sold 15 more adult tickets than children's tickets, and he sold 3 times as many senior tickets as children's tickets. Hence, we can represent the number of adult tickets sold as x + 15 and the number of children's tickets sold as x.
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PLANETS The average distance d in astronomical units that a planet is from the Sun can be modeled by d=t^2/3, where t is the number of Earth years that it takes for the planet to orbit the Sun. Find the average distance a planet is from the Sun if the planet has an orbit of 27 Earth years.
The average distance a planet is from the Sun is 9.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given;
Sun can be modeled by d=t^2/3, where t is the number of Earth years that it takes for the planet to orbit the Sun.
The planet has an orbit of 27 Earth years.
Now,
d=27^2/3
d^3=27^2
d=9
Therefore, by unitary method the answer will be 9.
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How many groups of 1 2/3 are in each of these quantities? I’ll mark u as brainliest helppp
a. 1 5/6
b. 4 1/3
c. 5/6
Answer:
The answer is a ( 1 5/6 )
Step-by-step explanation:
.................
Cuando pablo compra su auto, este le costo 35000000 pesos, si ahora vale el 45% de su precio original, entonces, su valor actual en pesos corresponde a
The current value of Pablo's car in pesos corresponds to 15,750,000 pesos.
This is calculated by multiplying the original price of 35,000,000 by the discount percentage of 45%, which corresponds to 15,750,000. To calculate the current price, the discount percentage (45%) is first determined and then multiplied by the original price (35,000,000). This is done to determine the discount in pesos (15,750,000) and is then subtracted from the original price to get the current price of 15,750,000.
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Complete Question:
When Pablo buys his car, it cost him 3,500,000 pesos. If it is now worth 45% of its original price, then what is its current value in pesos?
Calculate the ratio of the areas of the two similar figures
The required ratio of the areas of the two similar figures is 16:9
What is the area?
The space found inside a 2D shape's perimeter is known as the area. It is expressed as square units like [tex]cm^2[/tex], [tex]m^2[/tex], etc. The area is the quantity of space an object takes up in a plane.
For the given similar figures,
The square of the ratio of the corresponding sides is equal to the ratio of the areas of two comparable figures.
The ratio of the areas of these rectangles would be
= [tex]\frac{(6+2)^2}{6^2} = \frac{64}{36} = \frac{16}{9}[/tex]
= 16:9
Hence, the required ratio is 16:9.
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Element X decays radioactively with a half life of 6 minutes. If there are 390 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 28 grams?
y =
= a(. 5)
From 390 grams to 28 grams, Element X would decompose in about 4.4 minutes.
The formula y = a(0.5)t, where y is the final amount, a is the initial amount, and t is the time in half-lives, can be used to calculate this. Since Element X has a half-life of six minutes, we can add t = six minutes to the equation. We can solve for t by rearranging the data so that
t = ln(a/y) / ln(0.5).
We obtain
t = ln(390/28) / ln(0.5) = 4.4 minutes by putting in the values for a and y.
This is how long it would take for Element X's weight to drop from 390 grams to 28 grams through decay.
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An engine has enough power to operate at full power for 20 minutes. For how long could the engine operate at 35% of full power.
The engine operates for 7 mins at 35% of the full power.
As we know that, full power of the engine refers to 100% capacity.
A/Q,
∵ 100% power of the engine operates for 20 mins
∴ 1% power of the engine operates for [tex]\frac{20}{100}[/tex] mins
∴ 35% power of the engine will operate for [tex]\frac{20}{100}[/tex] × [tex]35[/tex] mins
[tex]=\frac{1}{5}[/tex] × [tex]35[/tex] = 7 minutes (Ans.)
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Please help me with this question
The value of f(0) is 5.
What is a solution to a system of equations? (SOLUTION GRAPHICALLY)For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
Given;
The graph
From the graph we can observe the value of function for various values.
When, x=0
y=5
Therefore, the answer of f(0) from the graph is 5.
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Graph the equation y = x² - 14x + 48 on the accompanying set of
axes. You must plot 5 points including the roots and the vertex.
Answer:
Below
Step-by-step explanation:
Here is a sample:
If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
The diagonal of a parallelogram bisects, so BE and DE are congruent, and AE is congruent with itself.
Assume that all four of it's angles at point E are 90°.
and Therefore, it is a congruence.
Triangles ABE and ADE are congruent through a side.
Therefore AB and AD are congruent.
Since opposite sides of a parallelogram are congruent, AD and BC are congruent and AB and CD are congruent.
Therefore all four sides are congruent. Therefore ABCD is a rhombus.
What is a parallelogramA parallelogram is a two-dimensional flat shape which is formed from two pairs of ribs and each of them is the same length and has two angles that are the same size in front of it.
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Which of the following statements is FALSE?
A) All parallelograms are quadrilaterals.
B) All squares are rhombuses.
C) All rectangles are parallelograms.
D) All kites are rectangles.
Answer:
The false statement is D) All kites are rectangles.
A kite is a quadrilateral with two pairs of adjacent sides that are congruent. A rectangle is a quadrilateral with four right angles and opposite sides that are parallel and congruent. While some kites can be rectangles (when the two pairs of congruent adjacent sides are also perpendicular), not all kites are rectangles. Therefore, statement D is false. Statements A, B, and C are true.
Step-by-step explanation:
the graph of y=x^2-4x is shown on the grid. Find the range of values for which x^2-4x<0.
Answer:
[tex]\boxed{0} < x < \boxed{4}[/tex]
Step-by-step explanation:
The graph is y = x² - 4x
For x² - 4x < 0 find out the interval of x
Factor x² - 4x ==> x(x - 4)
x² - 4x < 0 ==> x(x-4) < 0
Find the x-intercepts where x(x - 4) = 0
x(x - 4) = 0 means
x = 0 or x - 4 = 0
x - 4 = 0 ==> x = 4
These are critical points where the function changes sign
From the graph we see that the function has a value of 0 at x = 0 and x = 4 and is negative between 0 and 4
So the range of values for x where x² - 4x < 0 is
[tex]\boxed{0} < x < \boxed{4}[/tex]
Hope that makes sense. If not, please ask questions
It is assumed that approximately 15% of adults in the u.s. are left-handed. consider the probability that among 100 adults selected in the u.s., there are at least 30 who are left-handed. given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? why or why not?a. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent. b. No, because the 30 adults represent more than 5% of the sample size, the trials are dependent c. No, because the 100 adults were selected without replacement, the selections are dependent. d. No, because the probability of being right-handed is greater, x must count the number of right-handed adults.
The correct answer is (a) Yes, because we cannot use the binomial probability the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent
The probability of at least 30 adults out of 100 being left-handed can be calculated using the binomial probability formula with x counting the number who are left-handed. However, option (b) is not correct because the trials can still be considered independent even if the number of successes is greater than 5% of the sample size. The condition that the number of trials should be less than 5% of the population size is used to ensure that the sampling distribution can be approximated by a normal distribution.
Option (c) is also not correct because even though the sample was selected without replacement, the size of the population is much larger than the sample size, so the effect of the sampling without replacement is negligible.
Option (d) is not correct because we are interested in finding the probability of at least 30 left-handed adults, not the number of right-handed adults.
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What is the volume of a rectangular prism with the dimensions: base 3 1/4
cm, height 2 1/2
cm, and length 4 1/2
cm?
Answer:
V=whl=3.25·2.5·4.5=36.5625 cm
Step-by-step explanation:
Formula: V=whl
Width and base are interchangeable words so all you do is plug the base into (w).
Turn the fractions into decimals and multiply.
3 1/4 = 3.25
2 1/2 = 2.5
4 1/2 = 4.5
3.25*2.5*4.5 = V
V = 36.5625 cm
Find the quotient.
(2x4 – 3x3 – 6x2 + 11x + 8) ÷ (x – 2)
The division of the polynomial 2x⁴ - 3x³ - 6x² + 11x + 8 by x - 2 will give a quotient of 2x³ + x² - 4x + 3 +(14 / x - 2)
What is the quotientThe quotient of polynomials is the result of dividing one polynomial by another. It is a mathematical expression representing the ratio of two polynomials, often written as a fraction. The numerator of the fraction is the dividend polynomial, and the denominator is the divisor polynomial. The quotient of polynomials can be found using long division or synthetic division methods.
In the polynomial division between 2x⁴ - 3x³ - 6x² + 11x + 8 and x - 2
2x⁴ - 3x³ - 6x² + 11x + 8 ÷ x - 2 = 2x³ + x² - 4x + 3 +(14 / x - 2)
The quotient of the division is 2x³ + x² - 4x + 3 +(14 / x - 2) while the divisor is x - 2.
The remainder of the polynomial division is 14
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The difference , the sum and the product of two positive integers are in the ratio 1:2:6.Find the integers.
The integers are 12 & 4
How to find the integerThe difference , the sum and the product of two positive integers are in the ratio 1:2:6.Find the integers.
Let x = first integer
y = second integer
Finding x and y;
(x - y): (x + y) : xy = 1:2:6
for : (x-y)/(x+y) = 1/2
cross multiply
2(x-y) = x+y (equation 1)
for: (x+y)/ xy = 2/6 = 1/3
cross multiply
3(x+y) = xy (equation 2)
solve for x and y using equation 1 and equation 2
equation 2: xy= 3(x+y)
xy = 3x + 3y
xy -3y = 3x
y(x-3) =3x
divide both sides by (x-3):
y= 3x/(x-3) (equation 3)
substitute equation 3 to equation 1:
2(x-y) =x+y
2[x-(3x/(x-3))] = (3x/(x-3)) +x
solve for x:
x = 12
using equation 3, solve for y:
y = 3(12)/ (12-3)
y = 4
Check:
difference: 12-4 =8
sum: 12+4 =16
product: 12(4) =48
8:16:48 (when reduce to lowest term; dive by 8)
1: 2: 6 (same with the given ratio of the difference, sum and product)
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2. Multiplying Binomials
(x-6) (x+3)
The results of the multiplication of the binomials (x - 6)(x + 3) is x² - 3x - 28
How to multiply binomials;The multiplication of binomials is the results of the products of two or more binomials.
(x - 6)(x + 3)
open parenthesis
= x² + 3x - 6x - 28
= x² - 3x - 28
Ultimately, the multiplication of the given binomials is x² - 3x - 28.
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How do I find the x in the isosceles triangles Ik it’s a lot but help me out
the value of x in the isosceles triangle will be 36°.
What is an isosceles triangle ??
An isosceles triangle in geometry is one with at least two sides that are of equal length. Both having exactly two sides of equal length and having at least two sides of equal length are acceptable specifications, with the latter version containing the equilateral triangle as an exception. The faces of bipyramids, the golden triangle, the isosceles right triangle, and some Catalan solids are all examples of isosceles triangles.
in this figure, it is an isosceles triangle as two sides of the triangle are equal.
a) In the given triangle Δ the angles which are same given 72°
So the other angle will be 180 - 2(72) = 36°
Hence the value of x in the isosceles triangle will be 36°.
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Suppose you know that ∠S and ∠Y are complementary and that m∠S = 5(m∠Y) − 210°. Find m∠Y.
Answer:
So the measure of angle Y is 50 degrees.
Step-by-step explanation:
By definition, complementary angles add up to 90 degrees. So we can set up the equation:
m∠S + m∠Y = 90
We also know that m∠S = 5(m∠Y) - 210. Substituting this into the first equation, we get:
5(m∠Y) - 210 + m∠Y = 90
Combining like terms, we get:
6(m∠Y) - 210 = 90
Adding 210 to both sides, we get:
6(m∠Y) = 300
Dividing both sides by 6, we get:
m∠Y = 50
So the measure of angle Y is 50 degrees.