2. In March, Sunshine Kindergarten was given a sum of $2000. It spent 10% of the sum given on books, 70% on food and the rest on cleaning services. In April the sum given was reduced. The kindergarten spent the same amount of money on books and reduced its spending of food by $240. It spent the remaining 20% of the sum given in April on cleaning services. By what percentage was the sum given to the kindergarten reduced?​

Therefore , the solution of the given problem of equation comes out to be Kate's complete journey took her about 5.22 hours.

Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. Instead of another algorithm that can analyze data given by y + 7, split 12 to two parts, and produce y + 7, leveling produces b + 7 in this instance.

Here,

First, let's construct the solution utilizing the distance formula:

Walking distance plus cycling distance equals total distance.

Distance equals speed times time.

=> [(x+2)(x-3)] + [(3x+5)(x)] = 74

Simplifying and finding x's value:

=> x² - 4x - 9 + 3x² + 5x = 74

=> 4x² + x - 83 = 0

Making use of the quadratic formula:

=> x = [-1 + √(1 - 4(4)(-83))] / 8

=> x = [-1 ± √(1337)] / 8

=> x ≈ 4.11 or x ≈ -5.11

We can disregard the bad outcome because time cannot be negative.

Consequently,

=> x = 4.11.

Now that we know how long the full journey took, we can:

=> Time taken = x + (x-3)

=> Time spent = 2x - 3

=> Using x instead of 4.11:

=> Duration: 5.22 hours

As a result, Kate's complete journey took her about 5.22 hours.

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Answer:

normally I think credit card

Answer:

4-2(16x+8)^1/3=-8

-2(16x+8)^1/3=-12

(16x+8)^1/3=6

16x+8=216

16x=208

x=13

Checking if x=13 is an extraneous solution:

4-2[16(13)+8]^1/3=-8
4-2(208+8]^1/3=-8

4-2(216)^1/3=-8

4-2(6)=-8

4-12=-8

-8=-8

Not an extraneous solution.

The sum of the first 19 terms of the arithmetic sequence 2, 3, 4, 5, ... is 209.

To find the sum of the first 19 terms of the arithmetic sequence 2, 3, 4, 5, ..., we need to use the formula for the sum of an arithmetic sequence:

Sₙ = n/2 (a₁ + aₙ)

where Sₙ is the sum of the first n terms of the sequence, a₁ is the first term of the sequence, aₙ is the nth term of the sequence, and n is the number of terms we want to sum.

In this case, a₁ = 2 (the first term of the sequence), aₙ = 2 + (n - 1) = n + 1 (the nth term of the sequence), and n = 19 (we want to sum the first 19 terms of the sequence).

Therefore, we can plug these values into the formula and get:

S₁₉ = 19/2 ˣ (2 + 19 + 1)

= 19/2 ˣ 22

= 209

So the sum of the first 19 terms of the arithmetic sequence 2, 3, 4, 5, ... is 209.

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A rough estimate of the actual probability is [tex]0.43[/tex], or [tex]43[/tex]%.

When compared to a collection of possible occurrences that do not occur, probability may be thought of as a numerical indicator of how likely it is that an event will occur. All potential outcomes must be known as a set.

Information about the possibility that a certain thing will happen is provided by probability. For instance, meteorologists utilise weather patterns to forecast the likelihood of rain. Probability theory is utilised in epidemiology to comprehend the connection between exposures as well as the risk of health outcomes.

In three of the seven experiments, the volcano erupted once or twice throughout the course of the next half century (trial 1, 3, and 7).

Trial 1: 1 eruption

Trial 2: 0 eruptions

Trial 3: 1 eruption

Trial 4: 0 eruptions

Trial 5: 0 eruptions

Trial 6: 0 eruptions

Trial 7: 2 eruptions

Therefore, the experimental probability that the volcano will erupt in [tex]1[/tex] or [tex]2[/tex] of the next [tex]5[/tex] decades is:

experimental probability [tex]=[/tex] number of successful trials / total number of trials

experimental probability [tex]= 3 / 7[/tex]

experimental probability [tex]= 0.4286[/tex]

So the experimental probability is approximately [tex]0.43[/tex] or [tex]43[/tex]%.

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Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if you have two angles that are supplementary, the sum of their measures is 180 degrees.

Supplementary angles can be adjacent or non-adjacent. Adjacent supplementary angles are two angles that share a common vertex and side, but whose non-shared sides form a straight line. Non-adjacent supplementary angles are two angles that are not next to each other, but whose sum is equal to 180 degrees.

Given that x + y = 180

If y = 56 degrees

x = 180 - 56

x = 124

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The difference between Walter and Denise's gas usage is 0.83 - 0.75 = 0.08 gallons. Therefore, Walter uses 0.08 gallons more gas than Denise.

Number is a mathematical object used to count, measure, and label. It is an abstract concept that describes a quantity or amount. Numbers can be represented in various forms, including words, symbols, and numerals. Numbers are also used to measure distance, time, and weight, as well as to express amounts of money. Numbers play a vital role in many areas of life, from science and engineering to economics and finance.

To calculate how much more gas Walter uses than Denise, we need to find the difference between the amount of gas each person uses.

Denise uses 3/4 of a gallon of gas, so 3/4 of a gallon is equal to 0.75 gallons. Walter uses 5/6 of a gallon of gas, so 5/6 of a gallon is equal to 0.83 gallons.

The difference between Walter and Denise's gas usage is 0.83 - 0.75 = 0.08 gallons. Therefore, Walter uses 0.08 gallons more gas than Denise.

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We must add the relevant components of each of the three vectors, X1, X2, and X3, in order to resultant vector the final vector XR, which has the components (1, -5)m.

R = A + B. Equation 2 To create the resultant vector, opposing vectors are subtracted from one another. R is the resulting vector in this case, and the column B is directed in the opposite direction to a vector A.

We must add the relevant components of each of the three vectors, X1, X2, and X3, in order to resultant vector the final vector XR, which has the components (1, -5)m.

To find the resultant vector, we need to add the corresponding components of the three given vectors. So, we have:

XR = X1 + X2 + X3

XR = (-2,0) m + (0,-5) m + (3,0) m

XR = (-2+0+3, 0+(-5)+0) m

XR = (1, -5) m

Therefore, the resultant vector XR is (1, -5) meters.

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Complete question -

Add the following three vectors to find the resultant vector, XR:

X1 = (-2,0)m, X2= (0,-5,)m, x3 = (3,0)m

Answer:

Census

Step-by-step explanation:

It's a census because it provides meaningful information to the person who is collecting it. The meaningful information being the height

Answer:

Census

Step-by-step explanation:

The other guy already said it.

Answer: $5.00

Step-by-step explanation:

The cost of a 6-mile ride is made up of three components: a base fare of $1.25, a distance charge of 50 cents per mile, and a waiting charge of 30 cents per minute for the time spent eating at stoplights.

The distance charge for a 6-mile ride is:

6 miles x $0.50/mile = $3.00

The waiting charge for 2.5 minutes at 30 cents per minute is:

2.5 minutes x $0.30/minute = $0.75

So the total cost of the ride is:

$1.25 (base fare) + $3.00 (distance charge) + $0.75 (waiting charge) = $5.00

Therefore, a 6-mile taxi ride with 2.5 minutes of waiting time at stoplights costs $5.00.

The probability that the casino's total profit will exceed $1000 is very close to zero.

The probability of winning a bet on red in American roulette is 18/38, and the probability of losing is 20/38.

Therefore, the expected profit for the casino on each bet is:

E(profit per bet) = (18/38) x ($1) + (20/38) x (-$1) = -$0.0526

The variance of the profit per bet can be calculated as follows:

Var(profit per bet) = (18/38) x ($1 - (-$0.0526))^2 + (20/38) x (-$1 - (-$0.0526))^2 = $0.921

The standard deviation of the profit per bet is the square root of the variance, which is approximately $0.960.

The expected profit for the casino from 25000 bets is:

E(total profit) = 25000 x (-$0.0526) = -$1315

The standard deviation of the total profit is the square root of the variance multiplied by the number of bets, which is approximately $305.46.

To find the probability that the casino's total profit will exceed $1000, we can standardize the distribution of the total profit as follows:

z = (1000 - (-$1315)) / $305.46 = 9.48

Using a standard normal table or calculator, we can find that the probability of a standard normal variable exceeding 9.48 is essentially zero.

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Answer:

If a class has 2/3 girls.

Lets ask ourselves, what does this mean?

It means that 2/3 of the class are girls and therefore 1/3 of the class are boys. I.e. for every 2 girls in the class there is 1 boy in the class.

Therefore the ratio of girls to boys is

2 : 1

Answer:

(9), (11), ( ) and (9,11) is your correct answer.

Answer:

The terms 2x and -5x are like terms.

Step-by-step explanation:

Like terms are terms that have the same variable(s) raised to the same power(s). In this case, both 2x and -5x have the same variable "x" raised to the same power "1". The only difference between them is the coefficient, which is 2 for 2x and -5 for -5x. However, the coefficients do not affect whether two terms are like or unlike terms.

So, because 2x and -5x have the same variable raised to the same power, they are like terms.

Answer:

Step-by-step explanation:

Alan made an error in assuming that the distance between -8 and 3 on the x-axis is the same as the distance between -8 and the y-axis, and between 3 and the y-axis. This is not necessarily true, as the distance between two points on a coordinate plane is given by the Pythagorean theorem:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using this formula, we can find the actual distance between points A and B:

distance = sqrt((3 - (-8))^2 + (-4 - (-4))^2)

distance = sqrt(11^2 + 0^2)

distance = sqrt(121)

distance = 11

So the actual distance between points A and B is 11 units.

Therefore, Alan's error was assuming that the distance between A and B is simply the difference in the x-coordinates, which is not the case.

The vertical intercept in this context refers to the height at which the object is positioned when time is equal to zero.

Based on the information,, we can see that the vertical intercept is at a height of 1000 meters.

In terms of the context, this means that at the beginning of the experiment or measurement, the object was positioned at a height of 1000 meters above the ground.

This could represent the initial position of an object that is being dropped or launched from a certain height, or the starting altitude of an aircraft or spacecraft.

In this case, the vertical intercept in this context refers to the height at which the object is positioned when time is equal to zero.

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The cubic function family includes the function G(x).

A collection of functions known as the cubic function family may be written as [tex]f(x) = ax3 + bx2 + cx + d,[/tex]  where a, b, c, and d are constants. Cubic functions can have one, two, or three real roots because of their odd degree (3). Real-world phenomena like population growth and decline are frequently modelled using these functions. The coefficient of x3 in the following function [tex]G(x) = -x3 is -1,[/tex]  which is a constant. This function belongs to the family of cubic functions since it may be written in the typical form of a cubic function. As a result, G(x) has a single real root and is a cubic function.

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As It takes Sara 1/2 day to make a birdhouse, the number of birdhouse which will be built after 2/5 day is 4/5 of a birdhouse.

Since it takes Sara 1/2 day to make a birdhouse, we can say that she can make 2 birdhouses in one day.

So, after 1/2 day, Sara will complete 1 birdhouse.

Now, let's see how much of the birdhouse Sara can build after 2/5 day:

2/5 day is equivalent to (2/5) x (1/2) = 1/5 day.

Since Sara can build 1 birdhouse in 1/2 day, she can build 1/2 of a birdhouse in 1/4 day (half of 1/2 day).

Therefore, in 1/5 day, she can build:

= (1/5) / (1/4)

= (1/5) x (4/1)

= 4/5 of a birdhouse.

Full question "It takes Sara 1/2 day to make a birdhouse. How much of the birdhouse will be built after 2/5 day"

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Answer: Out of the 150 people surveyed, 36 preferred relish on a hot dog.

To estimate how many people in attendance would prefer relish on a hot dog, we can use the proportion of people in the sample who preferred relish:

36/150 = x/8,450

Solving for x, we get:

x = (36/150) * 8,450 = 2,028

Therefore, an estimated 2,028 people in attendance would prefer relish on a hot dog.

The answer is option C: 2,028.

Step-by-step explanation:

Answer:$41.24

Step-by-step explanation:

when you do mathmatics with $468 and $28.75 you get $41.24! have a good day! <3

Answer:a=4

Step-by-step explanation:

Plot and character development can help you predict a novel’s theme by hinting at ideas about what the conflict is and how the main characters are likely to deal with it.

What is plot?

The sequence of events in a book, movie, or other narrative where each event has an influence on the subsequent one in accordance with the law of cause and effect is known as the plot. The causal events of a narrative can be conceived of as a collection of occurrences linked together by the connector "and so." Plots can be simple—like in a traditional ballad—or complicated and intertwined, with each element occasionally referred to as a subplot or imbroglio.

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If we want to choose 6 objects out of 14 objects and the order does not matter, then the number of ways we can do this is 3003.

The number of ways you can select or organize objects is defined by formulas of permutation and combination. Choosing one or the other depends on whether the order matters (permutation) or not (combination). In this case, as the order does not matter, the general formula is:

C  = n! / r! (n-r)!

In this formula, n is the total of items and r is the total I need to select. Let's then solve it:

C= 14! / 6! (14! - 6!)

C = 14! / 6! 8!

C= 14 x 13 x 12 x 11 x 10 x 9 / 6 x 5 x 4 x 3 x 2

C= 7 x 13 x 11  x 3  

C= 3003

Note: This question is incomplete; here is the missing section;

How many ways can this be done, if the order of the choices does not matter?

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Therefore, the label represented by the rectangle in the figure is 62.4π square inches that is option D.

The lateral surface area of a three-dimensional object is the area of all its faces except for the top and bottom faces (i.e., the base(s) and the top(s)). In other words, it is the surface area of the object's lateral or side faces. The lateral surface area is typically used to describe the surface area of certain geometric solids such as cylinders, cones, and prisms. In the case of a cylinder, for example, the lateral surface area is the area of the curved side of the cylinder, excluding the top and bottom circular faces. For a cone, the lateral surface area is the area of the curved side of the cone, excluding the circular base.

Here,

From the given figure, we can see that the rectangle represents the lateral surface area of the cylinder, which can be calculated using the formula:

Lateral surface area = height x circumference

The circumference of the circle can be calculated as 2πr, where r is the radius. In this case, the radius is given as 4 inches. Therefore, the circumference is 2π(4) = 8π inches.

Substituting the given values, we get:

Lateral surface area = 7.8 x 8π

= 62.4π square inches

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Answer : 3 [tex]\frac{17}{21}[/tex]

:)

Answer: