Find x round to the nearest whole number

Answer:

LCD → 468

Step-by-step explanation:

[tex]\frac{5}{18} = \frac{5}{18} * \frac{26}{26} = \frac{130}{468}[/tex]

[tex]\frac{11}{12} = \frac{11}{12} * \frac{39}{39} = \frac{429}{468}[/tex]

[tex]\frac{6}{13} = \frac{6}{13} * \frac{36}{36} = \frac{219}{468}[/tex]

Hence, the least common denominator for these three fractions would be 468.

Answer:

a=1000.10

Step-by-step explanation:

Add the sides' lengths to find a triangle's perimeter. As an illustration, the perimeter of a triangle with sides a, b, and c is given by P = a + b + c.

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There is 3/4 of a gallon of bubble solution in the big bottle.

What is an equation?

In mathematics, an equation is a statement that asserts the equality of two expressions, typically separated by an equal sign (=). An equation contains one or more variables, which are symbols that represent unknown values, and may also contain constants, coefficients, and arithmetic operations such as addition, subtraction, multiplication, and division.

Let's use "x" to represent the amount of bubble solution in the big bottle, in gallons.

According to the problem, the big bottle was divided equally among 6 small bottles, and each small bottle holds 1/8 of a gallon of bubble solution. Therefore, the total amount of bubble solution in the big bottle is equal to the sum of the amounts in the 6 small bottles:

x = 6 * (1/8)

Simplifying the right-hand side of the equation, we get:

x = 3/4

Therefore, there is 3/4 of a gallon of bubble solution in the big bottle.

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Answer: Let's say there are a total of 100 students at the middle school. Then, 5 parts out of 7 are playing basketball and 2 parts out of 7 are playing soccer. The percent of students playing soccer can be calculated as follows:

(2/7) * 100 = 28.57% (rounded to the nearest percent)

So, approximately 28.57% of the students at the middle school play soccer.

Step-by-step explanation:

113.097 is the area (i used 3.14) pls comment for explanation :)

The first equation is:

(5 1/5)^5 = 25x

To solve for x, we need to simplify the left side of the equation first.

(5 1/5)^5 = (5 + 1/5)^5 = 6^5 = 7776

So,

7776 = 25x

Therefore,

x = 7776/25 = 311.04

For the second equation:

If (8 1/3)^2 = 4x, then x =

We need to simplify the left side of the equation first.

(8 1/3)^2 = (8 + 1/3)^2 = 9^2 = 81

So,

81 = 4x

Therefore,

x = 81/4 = 20.25

So the values of x that make each sentence true are 311.04 and 20.25, respectively.

Answer:

[tex]\mbox{\large \textsf{Timothy bought 14 books}}[/tex]

Step-by-step explanation:

Let's use first letters of names to represent the number of books bought by that person. This makes it easier to explain.

Therefore, the books bought by each of the three persons are T(imothy), L(aurence) and M(ike)

We will now convert each of the word description into math equations and solve

We are given that the ratio of the number of books bought by Laurence and Mike were 2: 7

We can write this as:
[tex]\dfrac{L}{M} = \dfrac{2}{7}\\\\[/tex]

Multiplying both sides by M:
[tex]L = \dfrac{2}{7}M\cdots\cdots(1)[/tex]  

Timothy and Laurence bought a total of 20 books can be represented as
[tex]T + L = 20\cdots\cdots(2)[/tex]

Timothy and Mike bought a total of 35 books can be represented as
[tex]T + M = 35\cdots\cdots(3)[/tex]

Eq (3) - Eq (2):

[tex]T + M - (T + L) = 35 - 20\\\\T + M - T - L = 15\\\\M - L = 15 \cdots\cdots (4)[/tex]

Substituting for [tex]\displaystyle L = \frac{2}{7}M[/tex]  from equation (1) into equation (4) we get

[tex]M - \dfrac{2}{7}M = 15\\\\\dfrac{5}{7}M = 15\\\\M = \dfrac{7}{5} \times 15\\\\M = 21\\\\[/tex]

Given [tex]\displaystyle M = 21[/tex] using equation (3), [tex]\displaystyle T + M = 35[/tex] we get

[tex]T + 21 = 35\\\\T = 35 - 21\\\\\textrm{or}\\\\T = 14[/tex](Answer)

If we wanted to find out how many books Laurence bought use Eq(1)
[tex]L = \dfrac{2}{7}M\\\\L = \dfrac{2}{7} \times 21\\\\L = 6\\\\[/tex]

Answer:

The solution to the inequality x < -2 is all real numbers that are less than -2. This means that any number that is less than -2 will satisfy the inequality, but any number that is greater than or equal to -2 will not.

So, the solution set for x < -2 is all real numbers that are less than -2. This solution set can be expressed as (-∞, -2).

Therefore, the values that are solutions to the inequality x < -2 are:

• all real numbers less than -2, such as -3, -4, -5, etc.

Note that -2 itself is not part of the solution set, since it is not less than -2.

The area of the shaded region is given as follows:

As = 324(2π - 1) in².

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr².

For this problem, the circle has a radius of [tex]18\sqrt{2}[/tex], as the radius is the diagonal of the square, hence the area is given as follows:

A = π x [tex](18\sqrt{2})²[/tex]

A = 648π in².

The area of a square of side length s is given by the square of the side length, hence the area of the square is given as follows:

A = 18²

A = 324 in².

Hence the area of the shaded region is given as follows:

As = 648π - 324

As = 324(2π - 1) in².

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The measure of the angles m∠BOX = 77.5° and  m∠AOX = 77.5°.

What is the angle bisector of an angle?

The angle bisector of an angle is a line or line segment that divides the angle into two equal parts, creating two smaller angles that are congruent (i.e., have the same measure). The angle bisector starts from the vertex of the angle and extends to the opposite side or ray of the angle, dividing the angle into two smaller angles that have the same number of degrees.

By the definition of the angle bisector of an angle, the angle bisector divides the angle in two equal measures.

As m∠AOB = 155°

m∠BOX = 1/2 * m∠AOB

m∠BOX = 1/2 * 155

m∠BOX = 77.5°

also m∠AOX = 77.5°

Hence, the measure of the angles m∠BOX = 77.5° and m∠AOX = 77.5°.

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The statement "the sum of a two-digit number is less than the value of the original two-digit number" can be rewritten as conditional statement. If the sum of two digits of a two-digit number is less than the value of the original two-digit number, the number is valid.

A conditional statement, "if p, then q," with p representing the hypothesis and q representing the conclusion. We can identify the hypothesis and conclusion by rewriting the statement "the sum of the digits of a two-digit number is less than the value of the original two-digit number" as an if-then conditional statement.

The hypothesis is the condition that must be satisfied in order to valid the conclusion. In this case, the hypothesis is "the sum of the digits of a two-digit number is less than the value of the original two-digit number".

By combining these, we can rewrite the statement as follows:

If the sum of a two-digit number's digits is less than the value of the original two-digit number, the number is valid.

The hypothesis (the sum of the digits of a two-digit number is less than the value of the original two-digit number) is a sufficient condition for the conclusion, according to this conditional statement (the number is valid). In other words, if the hypothesis is correct, we can be certain that the conclusion is correct as well.

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The ratio 10:35 can be simplified to 2:7.

A ratio in mathematics demonstrates how many times one number is present in another.

For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

The ratio 10:35 can be simplified to 2:7.

To simplify a ratio, you can divide both values by the greatest common factor. In this case, the greatest common factor of 10 and 35 is 5, so 10 divided by 5 is 2, and 35 divided by 5 is 7.

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Simply the following ratio 10:35

The value of the final velocity before striking the ground will be 9.899 meters per second.

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

If an object is projected horizontally from a height of 5m with an initial velocity of 7 m/s.

We know that if the object is projected horizontally, so initially the object has a vertical speed is zero. Then it increases due to acceleration due to gravity.

The speed of the object before striking the ground is given as,

v² - u²= 2gh

v² - 0² = 2 × (9.8) × (5)

v² = 98

v = 9.899 meters per second

The value of the final velocity before striking the ground will be 9.899 meters per second.

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[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 14}}{\left( \cfrac{25}{100} \right)14}\implies \text{\LARGE 3.5}[/tex]

Answer: 10.7 or 10.8

Step-by-step explanation:

so, first  [tex]a^{2} +b^{2} =c^{2}[/tex]

while [tex]a = 3.75[/tex] and [tex]b=10[/tex] and [tex]c=?[/tex]

so, it will be written as,

[tex]3.75^{2} +10^{2} =c^{2} \\[/tex]

[tex]14.0625+100=c^2[/tex]

[tex]114.0625=c^2[/tex] then square root both sides to have an answer of:

[tex]10.7=c[/tex]

That's if you are going to use the [tex]a=3.75[/tex]. as written in the question...

while if you're going to use [tex]a=4[/tex] (as shown in the figure) then only change the 3.75 with 4.

which will equal to...

[tex]4^2+10^2=c^2[/tex]

[tex]16+100=c^2[/tex]

[tex]116=c^2[/tex] then square root both sides to have an answer of:

[tex]10.77=c[/tex]

[tex]10.8[/tex] ≈ [tex]c[/tex]

hope you've understanded.!

GIven the set of scores, it is seen that a. Most of the scores are clustered within 1 or 2 points of X = 6.

A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.

Here is a frequency distribution table for the given set of scores:

Score Frequency

3 2

4 5

5 5

6 5

7 2

8 3

9 2

10 1

You can see that the scores are clustered around X = 6, with the highest frequency (5) at score 6 and the next highest frequency (5) at score 5.

The scores are not evenly spread out across the scale.

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In the image of the trapezoid the value of angle C is 82 degrees

A trapezoid is a quadrilateral with one pair of parallel sides.

Opposite angles of a trapezoid are angles that are located across from each other, with a side of the trapezoid between them.

In a trapezoid, opposite angles are always congruent, meaning they have the same measure. This is a result of the fact that a trapezoid is a parallelogram, which means that its opposite sides are parallel and equal in length.

When opposite sides of a parallelogram are parallel, it follows that opposite angles are congruent.

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Answer:

To find the amount of the discount, we need to multiply the purchase price by 20% or 0.20.

Discount = $365 × 0.20 = $73

So, the discount on a $365 purchase is $73.

The price after the discount would be $365 - $73 = $292.

To calculate the discount on a $365 purchase with a 20% discount, you can follow these steps:

1. Calculate the discount amount:

Discount = 20% x $365 = $73

2. Subtract the discount from the original price:

Final price = $365 - $73 = $292

Therefore, the final price of the $365 purchase with a 20% discount is $292.

Weight is 0.229 pounds after 4 weeks.

As a young channel catfish only weights 0.1 pounds,

It gains weight over the following 8 weeks at a rate of roughly 23% every week.

In this case, the exponential growth function is as follows:

Exponential formulas are provided by.

[tex]y=a(1+r)^{x}[/tex]

where an is the starting amount, r is the growth rate, x is the duration, and y is the weight at the end of "x" weeks.

Our values are a = 0.1, r = 0.23 (or 23%), and t = 4.

As a result,

[tex]y=0.1(1+0.23)^{4} \\[/tex]

y = 0.1(2.289)

y = 0.229

Consequently, the weight at 4 weeks is 0.229 pound.

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Complete question:

A young channel catfish weighs about 0.1 pound. During the next 8 weeks, its weight increases by about 23% each week. About how much will the catfish weigh after 4 weeks? Round your answer to the nearest thousandth of a pound.

Answer:

61

Step-by-step explanation:

using the rule to find the fifth term from the fourth term 29

5th term = 2 × 29 + 3 = 58 + 3 = 61

Answer:

sampling distribution

Step-by-step explanation:

:)

Answer:

Of the shapes you mentioned (circle, square, triangle, rectangle), the only one that has only one line of symmetry is the triangle. All other shapes have multiple lines of symmetry.

Step-by-step explanation:

The statements about the number -27 that are true are given as follows:

Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.

Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots.

Integer numbers are numbers that have no decimal part, hence -27 is an example of an integer number, which are also rational numbers.

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The ratio of the amounts of money that they each get:

1 : 3 : 3/2

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Let's represent the amount of money that Jan gets as x.

Then, the amount of money that Freda gets is 3x,

and the amount of money that Pieter gets is:

= (1/2) x 3x

= 3/2 x (x)

The ratio of the amounts of money that they each get can be written as:

⇒ x : 3x : 3/2 x (x)

⇒ 1 : 3 : 3/2

So, Jan gets 1 unit of money, Freda gets 3 units of money, and Pieter gets 3/2 units of money.

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Answer : 61.60

Step-by-step explanation:

Answer:61.60

Step-by-step explanation:

i just typed it in

Answer:

26.it is all about thinking

The value of machine after 2 years is $346.4.3

Subtract the asset's cost from its salvage value (what you anticipate it to be worth at the end of its useful life) to determine depreciation using the straight-line technique. The amount that can be depreciated, or the depreciable basis, is the outcome. Subtract this sum from the asset's useful life, which is measured in years.

Given:

C = $707 (the original cost),

r = 0.3 (the rate of depreciation),

and t = 2 (years that have gone by)

Using the Formula

V = C [tex](1-r)^t[/tex]

V = (707)(1 - 0.3)²

V = (707)(0.7)²

V = (707)(0.49)

V = 346.43

Thus, the value of machine is $346.43

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Answer:

please review the attachment

The linear equation can be written as:

y = (3/2)*x - 21/5

A general linear equation can be written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

First, we know that our line has the same slope than:

3x - 2y = 12

Rewriting that we will get:

3x - 2y = 12

3x - 12 = 2y

(3/2)x - 12/2 = y

So the slope of this line is (3/2).

And our lie has the same y-intercept as 5y + 21 = 4x

We can rewrite that to get:

5y = 4x - 21

y = (4/5)x - 21/5

The y-intercept is -21/5

Then the linear equation is:

y = (3/2)*x - 21/5

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