2x-4=10 reverse order algebra

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

Step-by-step explanation:

Let us revise the operation of the negative and positive numbers

∵ The expression is -8 - 2(3 + 2n) + 7n

- Simplify it

∵ 2(3 + 2n) = 2(3) + 2(2n) = 6 + 4n

∴ -8 - 2(3 + 2n) + 7n = -8 - (6 + 4n) + 7n

- Multiply the bracket by (-)

∴ -8 - (6 + 4n) + 7n = -8 - 6 - 4n + 7n

- Add the like terms

∴ -8 - (6 + 4n) + 7n = (-8 - 6) - 4n + 7n

∴ -8 - (6 + 4n) + 7n = -14 + 3n

∴ -8 - 2(3 + 2n) + 7n is equivalent to -14 + 3n

∵ -14 + 3n ≠ -30 - 13n

∴ -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

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Answer:

diagonal is 14 m

Step-by-step explanation:

We are given;

We are required to determine the diagonal of the square.

We know that;

Area of a square = s²  , where s is the side of the square

Therefore;

s² = 98

Thus;

s = √98

To get the diagonal

s² + s² = diagonal squared

Hence;

Diagonal squared = (√98)² + (√98)²

                              = 98 + 98

                              = 196

Thus;

Diagonal = √196

               = 14 m

Thus, the diagonal is 14 m

The length of the corresponding arc of the larger circle = 54 ft.

Step-by-step explanation:

step 1 :

step 2 :

Small circle :

Arc length = (∅/360)2πr

where,

∅ = arc angle

π = 3.14

r = radius of circle

step 3 :

Arc length = (∅/360)2[tex]\times[/tex]3.14[tex]\times[/tex]30

⇒ 36 = (∅/360)[tex]\times[/tex]188.4

⇒ ∅ = 36[tex]\times[/tex]360 / 188.4

∅ = 68.79

step 4 :

Large circle :

Arc length = (∅/360)2πr

                 = (68.79/360) 2[tex]\times[/tex]3.14[tex]\times[/tex]45

Arc length = 54 ft

If we knew that two angles were complementary and were given the measure of one of those angles, then we can find the measure of the other angle by subtracting the given measure of one angle from 90

Solution:

Given that,

If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle

Yes we can find the measure of another angle

Complementary angles:

Complementary angles are two angles whose sum is 90 degrees

Therefore, if measure of one angle is given, then we can find the measure of another angle

Measure of another angle = 90 - measure of one angle

Example:

If x and y are complementary angles

Given that measure of angle x is 45 degrees

Then we can say,

According to complementary angles definition

x + y = 90

45 + y = 90

y = 90 - 45

y = 45

Thus measure of other angle y is found to be 45 degrees

Knowing the measure of one angle in a pair of complementary angles allows you to find the measure of the other angle because the sum of their measures is equal to 90 degrees.

Yes, you would be able to find the measure of the other angle. This is because in geometry, two angles are said to be complementary if the sum of their measures is equal to 90 degrees. Thus, knowing the measure of one angle allows you to find the measure of the other angle by subtracting the known angle from 90.

For instance, if you were told one angle measures 35 degrees and you know the two angles are complementary, you could calculate the measure of the other angle as follows: 90 - 35 = 55 degrees. So, the other angle measures 55 degrees.

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Answer:

(6,1), (9,-1)

Step-by-step explanation:

In points (6,1) and (9,-1) a right angle can be formed.

Answer:

Step-by-step explanation:

slope=y₂-y₁/x₂-x₁

[tex]\frac{8-2}{7-3}=\frac{6}{4}\\\\=\frac{3}{2}[/tex]

1.) Set the equation equal to each other

2.) Solve for y by itself and simplify the equation

3.) Solve for when x=0 to find the x-value

4.) Plug that x-value back into one of the equation to find the y-value.

Answer:

No solution

Step-by-step explanation:

Replace occurrences of y in 4x - 2y = 14 with 2x - 6

y = 2x - 6

4x - 2 (2x - 6) = 14

Simplify left side

y = 2x - 6

12 = 14

Since 12 is not equals to 14, There is no solution

Answer:

The variance is 30698.6

Step-by-step explanation:

The billing rates for six dental procedures are listed below:

$663

$273

$410

$622

$174

$374

The mean is given by:

[tex]\bar X=\frac{663+273+410+622+174+374}{6}=\frac{2516}{6}=419.333[/tex]

The variance is given by:

[tex]\sigma^2=\frac{\sum(x-\bar x)^2}{n}[/tex]

[tex]\sigma^2=\frac{(663-419.333)^2+(273-419.333)^2+(410-419.333)^2+(622-419.333)^2+(174-419.333)^2+(374-419.333)^2}{6}[/tex]

[tex]\sigma^2=30698.56[/tex]

Therefore the variance is 30698.6

The variance for the given set of data points, which are billing rates for dental procedures, is $35439.73. The variance is calculated as the average of the squared differences from the mean.

The subject of this question is the variance, which is a statistical characteristic used in mathematics to measure how much individual numbers in a set diverge from the average. So, to find the variance for this given data follow these steps:

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[tex]\text{Hey there!}[/tex]

[tex]\mathsf{If\ b = 0\ then\ replace\ b\ in\ the\ equation\ with\ 0\ to\ make\ it\ easier\ to\ solve}[/tex]

[tex]\mathsf{New\ equation: 3(0)+ 14}[/tex]

[tex]\mathsf{3(0) + 14=\ ?}\\\mathsf{3(0) = 0}\\\mathsf{0+14=?}\\\mathsf{0+14=14}\\\boxed{\boxed{\bf{Answer:\mathsf{14}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

B = 0

You solved it thx for the points :v

125% of e is 30 means then the value of e is 24.

Step-by-step explanation:

[tex]\frac{125}{100}[/tex] [tex]\times e = 30[/tex]

The unknown number e from the given question is 24

125% of e is 30

125 / 100 × e = 30

1.25e = 30

e = 30 / 1.25

e = 24

Therefore, the unknown number e from the given question is 24

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Answer:

50

Step-by-step explanation:

Add the next odd number to get the next term

1

1+1=2

2+3 =5

5 + 5 = 10

10 + 7 = 17

17 + 9 = 26

26 + 11 = 37

37 + 13 = 50

Answer y=27

27 ice cream cones were sold

Answer:

g(9) = 52

Step-by-step explanation:

Step 1:  Identify the function

g(x) = 5x + 7 is the function

Step 2:  Set x to 9 in the function

g(9) = 5(9) + 7

Step 3:  Multiply

g(9) = 45 + 7

Step 4:  Add

g(9) = 52

Answer:  g(9) = 52

Answer:

...................................../................................................................

Step-by-step explanation:

......................................................................................

Answer:

4.5

Step-by-step explanation:

We can use heron's formula in this case:

let perimeter/2 be represented by [tex]p\\[/tex]

let [tex]a, b, c[/tex] represent each side length

[tex]p=\frac{ 4.24+3+3}{2} = 5.12[/tex]

Heron's formula is as follows:

[tex]Area=\sqrt{p(p-a)(p-b)(p-c)}[/tex]

Plug your numbers into the formula!

[tex]Area = \sqrt{5.12(5.12-4.24)(5.12-3)(5.12-3)}=\sqrt{5.12(0.88)(2.12)(2.12)}[/tex]

=[tex]4.5[/tex]

Answer:

8.3776 this is the circumference

Step-by-step explanation:

Answer:

the answer is 100.48 yd

Answer:

Step-by-step explanation:

In statistics, a box plot is a graphic method to display the quartiles of a distribution, where the line inside the body refers to the median.

So, in this case, you can observe that the median of shelter A is 21, and the median of shelter B is 18. That means the median of shelter A is greater than the median of shelter B.

Therefore, the right answer is first choice:

Box plot shows 5 description of the data set it is representing. The true statements for the given data sets' box plots are:

A box plot has 5 data description.

IQR(inter quartile range)  is the difference between third and first quartile.

For the given data set, we see that the middle line of first graph is right to the middle line of the lower graph, thus, Median of B < Median of A (18 < 22) (since as we go right, the magnitude of numbers increases)

Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers(since then the frequencies are more likely to be distributed symmetric to the middle).

Thus, B is symmetric but A isn't

Thus, IQR A > IQR B (here Q3 is third quartile and Q1 is first quartile).

Thus, the correct statements for the given box plots is:

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Answer:

[tex]c + 421 + 158 = 628[/tex]

[tex]c + 579 = 628[/tex]

[tex]c = 49[/tex]

Answer:

A number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7.

Step-by-step explanation:

The set of compound inequality are - 4 ≤ 3x - 1 and 2x + 4 ≤ 18.

Now, - 4 ≤ 3x - 1

⇒ 3x ≥ - 3

⇒ x ≥ - 1

And, 2x + 4 ≤ 18

⇒ 2x ≤ 14

⇒ x ≤ 7

Therefore, the solution will be 7 ≥ x ≥ - 1

Hence, the graph that shows the solution is  'a number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7'. (Answer)

Answer:

Graph A is your answer.

Step-by-step explanation:

The sales tax for an item priced at $70.00 with a tax rate of 3% is $2.10. This can be found by multiplying the selling price by the tax rate.

To find the amount of sales tax, you can multiply the selling price by the rate of sales tax. In your case, the selling price is $70.00 and the rate of sales tax is 3%. So, your calculation will look like this: $70.00 * 0.03 (because 3% is the same as 0.03 when used in a calculation). The result of this multiplication will be the amount of sales tax. So, the sales tax for an item which costs $70.00 at a tax rate of 3% is $2.10.

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Answer:

[tex](3+2\sqrt{2},2+2\sqrt{2}),(3-2\sqrt{2},2-2\sqrt{2})[/tex]

Step-by-step explanation:

[tex]Points\ are\ of\ the\ form\ (x,x-1)\\\\Distance\ of\ these\ points\ from\ (3,2)=4\\\\\sqrt{(x-3)^2+(x-3)^2}=4\\\\\sqrt{(x-3)^2+(x-1-2)^2}=4\\\\\sqrt{2(x-3)^2}=4\\\\2(x-3)^2=16\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ square\ both\ the\ sides\\\\(x-3)^2=\frac{16}{2}\\\\(x-3)^2=8\\\\(x-3)=\pm 2\sqrt{2}\ \ \ \ \ \ \ \ \ \ \ square\ root\ both\ the\ sides\\\\x=3\pm 2\sqrt{2}\\\\When\ x=3+2\sqrt{2}\ \ \Rightarrow x-1=3+2\sqrt{2}-1=2+2\sqrt{2}\\\\When\ x=3-2\sqrt{2}\ \ \Rightarrow x-1=3-2\sqrt{2}-1=2-2\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Answer:

x = 1

y =

Step-by-step explanation:

-2x + y=1

-4x + y=-1

-2 (2) x + (2) y = (2) 1 (multilply by 2)

-4x + y=- 1

-4x + 2y = 2

-4x + y = -1

minus side by

y = 3

x =

Answer:

(1, 3).

Step-by-step explanation:

-2x + y = 1

-4x + y = -1      Subtract :

-2x - (-4x) = 1 - (-1)

-2x + 4x = 2

2x = 2

x = 1.

Substitute x = 1 in the first equation:

-2(1) + y = 1

-2 + y = 1

y = 1 + 2

y = 3.

The angle of elevation is 2.17°

Step-by-step explanation:

First change value in miles to value in feet

1 mile =5280 ft

50 miles = 5280*50 =264000 ft

Apply the formula for tangent of an angle where the opposite side is 10,000 ft and the adjacent side is 264000 ft

Tan Ф = O/A

          = 10,000/264000

           =0.03787878787

Tan ⁻(0.03787878787) = 2.17°

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Answer:

b)  √200 = 10√2

Step-by-step explanation:

Here, the given expression is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5  x 5

⇒ 200  = (2)²  x (5) ²  x 2

Taking ROOT both sides, we get:[tex]\sqrt{200} = \sqrt{(2)^{2} \times (5)^{2} \times 2}\\\implies \sqrt{200} = \sqrt{(2)^{2} } \times \sqrt{(5)^{2} } \times \sqrt{(2) } = 2 \times 5 \times \sqrt{2}\\ = 10 \sqrt {2}\\\implies \sqrt{200} = 10 \sqrt {2}[/tex]

Hence,   √200 = 10√2

Answer:

B is the answer

Step-by-step explanation:

B for e2020

Answer:

At least 22 hours in a week.

Step-by-step explanation:

Given: Manuela make $15 per hour.

           Her employers deduct $125 from her weekly check.

           Manuela receives at least $205 in her weekly paycheck.

Lets assume, Manuela working hour in a week be "x".

We know, Total amount on week paycheck= [tex]Hourly\ pay\times number\ of\ hours- Deduction[/tex]

Now, forming an inequality to determine weekly pay of Manuela.

⇒ [tex]15\times x- 125\geq 205[/tex]

⇒[tex]15x-125\geq 205[/tex]

Adding both side by 125

⇒[tex]15x\geq 205+125[/tex]

⇒[tex]15x\geq 330[/tex]

Divinding both side by 15

⇒[tex]x\geq \frac{330}{15}[/tex]

∴[tex]x \geq 22\ hours[/tex]

Hence, Manuela works at least 22 hours per week.