round 87388 to the nearest thousand

\(\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}\)

Given two equations are :

We may write them as ,

Multiplying equⁿ (i) by 2 :

⇒ 2(2x + y - 6 ) = 0.

⇒ 4x + 2y - 12 = 0 .....................(iii) .

Subtract equⁿ (ii) from equⁿ (iii) :-

⇒ 4x + 2y - 12 = 0

ㅤ- 4x + 3y - 8 = 0 [ Sign changes ]

__________________

⇒ 5y - 20 = 0.ㅤㅤㅤㅤㅤ

⇒ 5y = 20.

⇒ y = 20/5.

⇒ y = 4

Put this value in (i) to obtain x .

⇒ 2x + y - 6 = 0.

⇒ 2x +4 - 6 = 0.

⇒ 2x - 2 = 0.

⇒2x = 2 .

⇒ x = 2/2.

⇒ x = 1 .

Hence the value of x is 1 & y is 4.

\(\boxed{\purple{\bf\pink{\dag}\:Hence\:the\: correct\: option\:is\:[b]\:(1,4)}}\)

The number of red counters in the bag is given as follows:

8.

A probability is obtained by the division of the number of desired outcomes by the number of total outcomes.

The probabilities for this problem are given as follows:

The sum of the probabilities is of one, hence the value of x is obtained as follows:

2x + x + 0.45 + 0.25 = 1

3x = 0.3

x = 0.1.

Hence the proportion of red is given as follows:

0.2.

There are 18 blue counters in the bag, which is of 0.45 of the total amount, hence the total amount is obtained as follows:

0.45n = 18

n = 18/0.45

n = 40.

Meaning that the number of red counters is given as follows:

0.2 x 40 = 8.

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The probability of passing at least one will be 0.70.

We know that,

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

here, we have,

Probability of passing history course = 0.59

Probability of passing math course = 0.60

Probability of passing both courses = 0.49

so, we get,

Probability of passing at least one will be

⇒ 0.59 + 0.60 – 0.49

⇒ 0.70

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complete question:

A student is taking two courses, history and math. the probability the student will pass the history course is 0.59, and the probability of passing the math course is 0.60. the probability of passing both is 0.49. what is the probability of passing at least one?

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

the correct answer is A. 25 sandwiches.

Step-by-step explanation:

Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.

Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.

So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.

Therefore, the correct answer is A. 25 sandwiches.

Answer: 25

Step-by-step explanation:

We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.

2+2...=50

Answer:

60

Step-by-step explanation:

Answer:

it is 60

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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To find which case is the better deal, we need to find the price per ounce of each bottle.

To do that, we just need to divide the price of the bottle by its weight.

For the first bottle, we have that:

For the second bottle, we have that:

The price per ounce of the first bottle is lower, so the first shampoo is a better deal.

Answer:

Certain= 1. Impossible= 0. Likely= 1/2. Unlikely=1/2.

Step-by-step explanation:

Certain is equal to 100% of that event occurring, which is equal to one since probability can only go from 0-1, then impossible is equal to 0 since there is no chance of that event occurring, then likely and unlikely both have 1/2 chance of that event occurring.

The corresponding probabilities are

Probability simply means the probablity of the possibility of something happening. It's has to do with the probability of a random event occurring.

In conclusion,  Probability can only range from0-1 hence

the impossible is equal to 0

then probable and unlikely both have a 1/2

1 is a must that event happens.

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All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.

Answer:

A. 56.52 inches

Step-by-step explanation:

the Circumfernce = 2 x π x r

= 2×3.14×9

= 3.14×18

= 56.52 inches

Four triangles can create a set of pattern blocks that includes a total of four rhombuses.

To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.

To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.

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Answer:

The answer is below

Step-by-step explanation:

Let us assume that each box represent 1 unit. Therefore we can get the coordinate of G and H. From the graph, the coordinate of G is (-2, -3) while the coordinate of H is at (0, 3).

The distance between two points A(\(x_1,y_1\)) and B(\(x_2,y_2\)) on the coordinate plane is:

\(|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The distance between G(-2, -3) and H(0, 3) is:

\(|GH|=\sqrt{(0-(-2))^2+(3-(-3))^2}=\sqrt{4+36}=\sqrt{40}\\ \\|GH|=6.325\ units\)

Using the distance formula, GH = 6.3 units.

Given the coordinates of two points on a coordinate plane, the formula for finding the distance between them is: \(d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\)

Given:

Plug in the values into the distance formula:

\(GH = \sqrt{(-3 - 3)^2 + (-2 - 0)^2} \\\\GH = \sqrt{36 + 4} \\\\GH = 6.3\)

Therefore, using the distance formula, GH = 6.3 units.

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A histogram of the weights of all 2,000 athletes would be a graph with two normal distributions, one for offense and one for defense.

The offense distribution would have a bell shaped curve centered at 200 pounds, with a range of 150-250 pounds. The defense distribution would have a bell shaped curve centered at 300 pounds, with a range of 250-350 pounds. Each of the distributions would have the same area, representing 1,000 athletes in each group. The total area of the histogram would represent the combined 2,000 athletes with weights ranging from 150-350 pounds. It is important to note that the histogram would not represent the exact weights of the athletes, but rather the relative frequency of each weight.

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Answer:

get a job symple as that

Step-by-step explanation:

first get a rasame

next get acsepted

from there ur on ur oun

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

First problem:

Limiting the Domain to \(x\leq 0\)   (option A in the list)

Second problem:

All the three statements are true, so pick option D)

Step-by-step explanation:

Recall that a function in order to have inverse needs to be a one-to-one function. In the case of the function they give you in the problem:

\(f(x)= 3x^2+1\)

the graph corresponds to a parabola with vertex at x=0 and y=1 (0, 1), and since it has two branches that correspond to equal y-values for opposite pairs of x values, it doesn't satisfy the conditions for the existence of inverse. But if we limit the Domain of it considering just one half of the graph (for example limiting the Domain to the values to one side of the parabola's vertex, then this restricted function is one-to-one and we can find its inverse.

So the option of limiting the Domain to x-values smaller than or equal to zero, suggested in option A of the list of answers will do the job we need.

In the following problem, the three first statements are true for an inverse function, so pick option D that says that all previous statements are true.

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{1 \frac{2}{15}}}}}} \)

Step-by-step explanation:

\( \sf{1 \frac{7}{10} \times \frac{2}{3} }\)

Convert the mixed number into improper fraction

\( \longrightarrow{ \sf{ \frac{10 \times 1 + 7}{10} \times \frac{2}{3}}} \)

\( \longrightarrow{ \sf{ \frac{17}{10} \times \frac{2}{3}}} \)

To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator and reduce the fraction obtained after multiplication into lowest term

\( \longrightarrow{ \sf{ \frac{17 \times 2}{10 \times 3}}} \)

\( \longrightarrow{ \sf{ \frac{34}{30}}} \)

\( \longrightarrow{ \sf{ \frac{17}{15} }}\)

Convert the improper fraction into mixed number

\( \longrightarrow{ \sf{1 \frac{2}{15} }}\)

Hope I helped!

Best regards! :D

Answer:

No, Lin assumption is wrong

Step-by-step explanation:

Given

Population of panama = 4 x 10^6

population of thailand = 7 x 10^7.

Taking their ratios

thailand/panama = 7x 10^7/4 x 10^6

thailand/panama  = 7/4 * 10^7-6}

thailand/panama = 1.75 * 10^1

thailand/panama  = 17.5

thailand = 17.5 * panama

Hence the amount of people in thailand is not up to 20times those in panama. Hence Lin assumption is wrong

Using proportions, it is found that the ratio is of 17.5, hence Lin is not correct.

A proportion is a fraction of a total amount.

In this problem:

The ratio between the populations is given by:

r = 7 x 10^7/(4 x 10^6) = 1.75 x 10^1 = 17.5.

The ratio is of 17.5, hence Lin is not correct.

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Answer:

E. 1/3

Step-by-step explanation:

In this sequence, the numbers are descending and are 1/3 of the previous number.

243 / 3 = 81

81 / 3 = 27

9 / 3 = 3

3 / 3 = 1

1 / 3 = 1 / 3 (the next term)

The simplified expression for \($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\) is equal to 3.

We can write the simplified form of the given expression using the exponent rule as -

{aˣ/aⁿ} = {aˣ a⁻ⁿ} = {aˣ ⁻ ⁿ}

Given is the expression as -

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\)

We can simplify the expression as -

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = (27)^{\frac{1}{2} \times \frac{2}{3} }\)

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = 27^{\frac{1}{3} }\)

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = (3)^{3}^{\frac{1}{3} }\)

\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = 3\)

Therefore, the simplified expression for \($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\) is equal to 3.

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Answer:

24 students where studying one language

Step-by-step explanation:

The scaled triangle will be larger than the initial size by a factor 2.

The scaled square will be smaller than the initial side by a factor 4.

Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.

Dilation involves scaling an object by a certain factor, that might result in  enlarging or reducing its dimensions uniformly in all directions.

Based on the given diagram, the new length and size of the object is calculated as follows;

For the triangle, (measure the length with ruler)

For the square; (measure the length with ruler)

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The simplified ratio of 800 pounds to one ton is 2 : 5.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

There are 2000 pounds in one ton. Therefore, the ratio of 800 pounds to one ton can be written as:

800 pounds : 2000 pounds

To simplify this ratio, we can divide both the numerator and denominator by their greatest common factor, which is 200. This gives:

800 pounds : 2000 pounds = 4 : 10 = 2 : 5

Therefore, the simplified ratio of 800 pounds to one ton is 2 : 5.

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1. The scale factor here in the dilation is 4/3.

2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.

During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:

A rise in an object's size is referred to as expansion.

Contraction is the term used for a reduction in size.

Here in the question,

The coordinates of the point B change from (-3,6) to (-4,8).

The scale factor here is -4/-3=4 or 8/6=4/3.

Now, when the dilation happens below the plane, the coordinates will be (x,-y)

So, the dilation factor will be -4/3.

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Answer:

PQR+SQR=180°(angles in a triangle)

75°+SQR=180°

SQR=180°-75°

SQR=105°

We can solve this question by using concept of Ratios and Proportions. The answer for Part A is 3.4% and answer for Part B is 4.6%.

Let's discuss proportions and ratios. We use miles per hour (mph) to describe the speed of an automobile or an airplane. This is a kind of ratio and is referred to as a rate. In the case of miles per hour, where we compare miles and hours, a ratio provides a means to compare two quantities by employing division.

There are three methods to express a ratio, and each one is read as "the ratio of x to y." Contrarily, a percentage is an equation that states that two ratios are equal. For instance, saying that two packages of cookie mix would provide 40 cookies is equivalent to saying that one package of cookie mix yields 20 cookies.

Part-A)

Computer

⇒10*0.2+2*0.5 - 4*1.3 =1.8

Financial

⇒8*0.2+5*0.5 - 3*0.3 =3.2

Manufacturing

⇒6*0.2+4*0.5 - 2*0.3=2.6

Pharmaceuticals

⇒6*0.2+5*0.5-1*0.3=3.4

Preffered Market: Pharmaceuticals

expected return :3.4%

Part-B)

Computer

⇒10*0.4+2*0.4 - 4*0.2=4

Financial

8*0.4+5*0.4-3*0.2=4.6

Manufacturing

6*0.4+4*0.4 -2*0.2=3.6

Pharmaceuticals

6*0.4+5*0.4-1*0.2=4.2

preffered market=finacial

expected return=4.6%

We can solve this question by using concept of Ratios and Proportions. The answer for Part A is 3.4% and answer for Part B is 4.6%.

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