What value of k makes the two expressions equivalent: K*x +6 = x +2
+4(x+1) *
2
4
6
8
1

The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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Answer:

if you go around a track one time thats 400 meters but if you go around 4 times thats 1600 meters, you dont need to use 3.14 pi for this " no offense", i do track and field myself and i do the short distance, which is 100 meters and 200 meter but for for long distance runners they go around the track 4- 8 times so it is 1600 meters is ur answer. and when u go around 8 times, thats 3200 meters.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

cscsc

Step-by-step explanation:

zcscc

Answer:

hehehehehehehehehehehehehehehehehehehehehehehehe

Step-by-step explanation:

lelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelele

Chicken Nuggets.

The value for x in the given triangle is 36.81. The solution has been obtained by using the concept of trigonometry.

What is trigonometry?

Right-angled triangles, including their sides, angles, and connections, are studied in the branch of mathematics known as trigonometry.

We are given a right angled triangle with perpendicular 32 and base x.

We know that tan θ is the ratio of triangle's perpendicular to its base.

Here, θ = 41°

So, we get

⇒ tan 41° = \(\frac{32}{x}\)

⇒ 0.8693 = \(\frac{32}{x}\)

⇒ 0.8693x = 32

⇒ x = 36.81

Hence, the value for x in the given triangle is 36.81.

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The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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Answer:

C. 88 degrees fahrenheit :)

Step-by-step explanation:

Answer:

C intercept is 800, n intercept is -3.3333...

Step-by-step explanation:

C = 240n + 800 is a linear equation (the graph is a line)

C-intercept is the point with the coordinates ( 0, C-intercept ) where the line C = 240n + 800 is intersecting the vertical C-axis and

n-intercept is the point with the coordinates (n-intercept, 0) where the line C = 240n + 800 is intersecting the horizontal n-axis.

Find the C-intercept:

n has to be 0 for our line to intercept the C-axis, so substitute n = 0 in our given equation

C = 240n + 800

C = 240·0 + 800

C = 800

Find the n-intercept:

C has to be 0 for our line to intercept the n-axis, so substitute C = 0 in our given equation

C = 240·n + 800

0 = 240·n + 800, subtract 800 from both sides

-800 = 240 ·n, divide both sides by 240

-800/240 = n

-3.(3) = n

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

Solving the system of equations, it is found that x = 3, that is, there are 3 128 MB memory sticks.

--------------------

We want to solve for x, thus, in the first equation, we write y as a function of x, that is:

\(y = 7 - x\)

Replacing in the second equation:

\(128x + 512(7 - x) = 2432\)

\(128x + 3584 - 512x = 2432\)

\(384x = 1152\)

\(x = \frac{1152}{384}\)

\(x = 3\)

x = 3, that is, there are 3 128 MB memory sticks.

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

A = 36pi in^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi 6^2

A = 36pi in^2

Radius(r)=6 inches

Area of circle=?

Now,

Area of circle=pi r ^2

=pi (6)^2

36 pi inches^2

So the right answer is 36 pi inches^2

Hope it helps

Answer:

1 13/20 miles

Step-by-step explanation:

3.9-2.25=1.65

1.65=33/20

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Answer:

Step-by-step explanation:

Answer: 600 tiles

Step-by-step explanation:

Area of the hall (assuming a typo and is metres,) = 900x400

                         = 360000cm2

Area of the tiles = 600cm2

Amounts of tiles able to be used = 360000/600

                                                       = 600 tiles.

Answer:

Step-by-step explanation:

I think 9cm and 4 cm are the lengths of the tile. so assuming that

First, we need to calculate the area of the floor in square centimeters:

Area of the floor = length x width

Area of the floor = 20cm x 30cm

Area of the floor = 600 square centimeters

Next, we need to calculate the area of one tile in square centimeters:

Area of one tile = length of tile x width of the tile

Area of one tile = 9cm x 4cm

Area of one tile = 36 square centimeters

To find the number of tiles needed to cover the floor completely, we need to divide the area of the floor by the area of one tile:

Number of tiles needed = Area of the floor / Area of one tile

Number of tiles needed = 600 square centimeters / 36 square centimeters

Number of tiles needed = 16.67

Since we can't have a fraction of a tile, we round up to the nearest whole number. Therefore, we need 17 tiles of size 9cm by 4cm to cover the floor completely.

The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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There is no fixed range for a square root function.

Range is the set of all the output values that a function can take. In other words, it is simply the set of all values that the dependent variable can take for the function to exist. It is also  known as the co-domain.

Let us take a simple square root function given as-

y = \(\sqrt{x}\)

Here, y is the dependent variable. We know that the square root of any number cannot be negative. Thus, y can take only positive values. Therefore, the range of a square root function is [0, ∞)

However, this is not always the case, there are various translations of a square root function for which the range might differ. For example, if we have a function as follows-

y = \(-\sqrt{x}\)

Here, because of the minus sign, y will always be negative and thus the range will be (-∞, 0]

Hence, we conclude that there is no fixed range for a square root function.

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the first time in my class or must i forget abt u cos i always indoors and i know ukuthi im not strong so

Answer:

n = 16

Step-by-step explanation:

Givem that :

Population Standard deviation , σ = 16

Sample size, n =

Standard Error, S. E = 4

To obtain the standard Error, S. E, we use the relation :

S.E = σ / √n

4 = 16 / √n

√n * 4 = 16

Divide both sides by 4

(√n * 4) / 4 = 16 / 4

√n = 4

Square both sides

n = 4²

n = 16

Hence, Sample size = 16

Answer:

Y = -½x + 3/2

Y = -3x + 5

Y = 1/4x - 3¼

Step-by-step explanation:

Parallel implies they have the same gradient

Perpendicular implies the gradient is a negative reciprocal of the other.

Answer:
48x + 96

Step-by-step explanation:

Given expression: 12(4x + 8)

Using the Distributive Property, we can simplify the given expression.

Distributive Property: \(a(b + c) = ab + ac\)

Simplify:

\(\implies 12(4x+8)\\\\\implies 12(4x) + 12(8)\\\\\implies 48x + 96\)

The expression that is equivalent to 12(4x + 8) is \(48x + 96\).

By definition, Compatible Numbers are those numbers that are closed to the original number and they are used to solve mathematical operations mentally.

In this case, you have the following Division:

Therefore, analyzing the numbers, you can identify that the Dividend is:

And the Divisor is:

Notice that the Divisor is closed to 100. Then, you can set up that:

Looking at the Dividend, you can identify that:

The number 600 is closed to the number 556 (formed by the first three digits of the Dividend).

Notice that 600 and 100 can be divided evenly.

Knowing the explained above, you can set up that:

Therefore:

Then, the answer is:

Answer:

25

Step-by-step explanation:

Answer:

the answer is 30

Step-by-step explanation:

they all go into 30 some how

The equation of the line in fully simplified slope-intercept form is y = x + 7.

We have,

From the graph,

The coordinates of the line are:

(0, 7), (-7, 0), and (-2, 5).

We can use any coordinates the line touches on the graph.

We will use,

(0, 7) and (-7, 0)

The equation can be written in the form y = mx + c

m = (0 - 7) / (-7 - 0)

m = -7/-7

m = 1 ______(1)

And,

(0, 7) = (x, y)

So,

y = mx + c ______(2)

7 = 1 x 0 + c

7 = c

c = 7 ______(3)

Now,

From (1), (2), and (3).

y = x + 7

Thus,

The equation of the line in fully simplified slope-intercept form is y = x + 7.

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Answer:

1/5x

Step-by-step explanation:

1/5x

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.

If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,

P = 3/9

P = 1/3

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

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