MATHEMATICS HIGH SCHOOL

Please solve the equation below.

2x+4=3(x-4)

Answers

Answer 1

Answer:

Question:-

solve the equation below :-

2x+4=3(x-4)

Answer:-

x = 16

Explanation:-

=> 2x+4 = 3(x-4)

=> 2x+4 = 3x-12

=> 2x+4 - 4 = 3x-12 - 4 (Subtract 4 on both the sides)

=> 2x = 3x-16

=> 2x-3x = -16

=> -x = -16

=> -x/-1 = -16/-1

=> x =16

Answer 2

Answer:

Answer:

x=16

Step-by-step explanation:

$\sf 2x+4=3(x-4)$

$\sf 2x+4=3x-12$

$\sf 2x+4-4=3x-12-4$

$\sf 2x=3x-16$

$\sf 2x-3x=3x-16-3x$

$\sf -x=-16$

$\sf \cfrac{-x}{-1}=\cfrac{-16}{-1}$

$\sf x=16$

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A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150.00 with a standard deviation of $30.20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2.5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test?a.The customers spend more than the national average in his store.b.The manager should decrease prices in his store.c.The customers do not spend more than the national average in his store.d.The customers in his store just come from a rich neighborhood.

Which expression finds the measure of an angle that is coterminal with a 126° angle?126° + (275n)°, for any integer n
126° + (375n)°, for any integer n
126° + (450n)°, for any integer n
126° + (720n)°, for any integer n

Answers

Answer:

126° + (720n)°, for any integer n

Step-by-step explanation:

Coterminal Angles of an angle are the angles who share the same initial side and terminal sides.

Also, we can find the coterminal angle of an angle by adding or subtracting 360°. ( When angle is given in degree ),

For example, if Ф is an angle,

Then, its coterminal angles are,

Ф + 360 n, for an integer n,

Here, Ф = 126°,

Hence, its coterminal angles are,

126° + ( 360 n)°,

Since, n is an integer,

⇒ 2n is an integer,

So, the co-terminal angle of 126° can be written,

126° + ( 360×2n )°= 126° + ( 720n)°, for any integer n.

All the coterminal angles with 126° are 126 + k*360, being k an integer.

if you make k=2n

You find that 126° + 2n*360 also represent coterminal angles for 126°, so the answer is 126° + 720n

What is 10 percent of 2 3/8 in inches

Answers

In mathematics, the term 'of' always indicates multiplication. So we are going to multiply our percentage by the fraction to find the result.

To make this process simpler, we can start off my translating both values into decimals.
In order to change a percentage into a decimal, you can either divide the percentage by 100, or (my personal shortcut) just shift the decimal point over two places to the left.

10% = 0.1

Now, onto the fraction.
To change $2 (3)/(8)$ into a decimal, we simply need to set the whole number aside and then complete the fraction by dividing the numerator by the denominator.

3 / 8 = 0.375

Now, we can reattach the whole number to get our entire decimal:

2.375

From here, we can multiply these two values to get our answer:

0.1 * 2.275 = 0.2375

which is the decimal form of our answer. In order to find the fractional form, we must simply put all of the numbers to the left of the decimal point as the numerator of a fraction, with a multiple of 10 with as many zeros as there are numbers to the left of the decimal point as the denominator.

0.2375 = $(2375)/(10000)$

And we can reduce this fraction heavily by dividing out like terms. For the sake of time, I will eliminate this step to tell you that the finished reduction shows us a fraction of $(19)/(80)$ .

So there you have it.
10% of 2 $(3)/(8)$ is 0.2375 or $(19)/(80)$ .
Hope that helped! =)

Write (5+2yi)(4-3i)-(5-2yi)(4-3i) on a+bi form, where y is a real number

Answers

the answer is attached here

HELP MATHS perpendicular lines

Answers

Answer:

y = $(1)/(3)$ x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the equation of line L₁

y = - 3x + 8 ← in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

$m_(perpendicular)$ = - $(1)/(m)$ = - ( $(1)/(-3)$ ) = $(1)/(3)$ , then

y = $(1)/(3)$ x + c ← is the partial equation of line L₂

to find c , substitute the point P(3, 5 ) into the partial equation

5 = $(1)/(3)$ (3) + c = 1 + c ( subtract 1 from both sides )

4 = c

y = $(1)/(3)$ x + 4 ← equation of line L₂

In a rectangle CALM, LD =15cm. Find the length of diagonal CL. A. 15cm C. 25cm B. 20cm D. 30cm

Answers

In a rectangle, opposite sides are equal in length. Therefore, in rectangle CALM, CL is equal to AD, the diagonal of the rectangle.

Since LD is given as 15 cm, and LD is the same as AD, the length of diagonal CL is also 15 cm.

So, the correct answer is:

A. 15 cm

Final answer:

The length of diagonal CL in rectangle CALM, with LD=15cm, was calculated on the assumption that CALM is a square. Using the Pythagorean theorem, we derived approximately 21.21cm for the diagonal length, although none of the provided alternatives matched this result.

Explanation:

In rectangle CALM, if LD is 15 cm, we can solve for the length of diagonal CL using the Pythagorean theorem. The theorem relates the lengths of the sides and diagonal (hypotenuse) of a right triangle, which is formed by the diagonal and two sides of the rectangle. In this case, if LD is 15 cm and assuming that the rectangle is a square (both sides equal), we would have a right triangle with two sides of 15 cm.

Using the Pythagorean theorem, we can calculate the diagonal: a² + a² = d², where a represent the length of the sides and d stands for the diagonal. Using the equation, we get 15^2 + 15^2 = d^2, after solving it we get d=approximately 21.21.

However, none of the provided alternatives (15cm, 20cm, 25cm, 30cm) match this result, indicating that the rectangle may not be a square or that a different side (not LD) might define the diagonal length. It is crucial to have all required measurements to accurately solve the problem.

Learn more about Pythagorean theorem here:

brainly.com/question/28361847

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Brainliest!!! Pls help

Answers

answer:

The equation of line s is given as y = 2. To find the coordinates of point C of AA'B'C' for Rs, we need to consider the intersection of line s with the x-axis.

When the equation of a line is in the form y = c, where c is a constant, it represents a horizontal line parallel to the x-axis. In this case, the line y = 2 is a horizontal line passing through the y-coordinate 2.

Since the line y = 2 does not intersect the x-axis, there is no point of intersection, and we cannot determine the coordinates of point C.

"i was trying to leave the question but accidently pressed add answer lol"

Alli <3

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