An equation is shown below.
3(x-2)+7x=1/2(6x-2)
How many solutions, if any, does the equation have?

Answer:3/6

Step-by-step explanation:

Answer:

So linear means equal so you’ll put x on one side and 750 plus 10% on one side and add an equal sign in the middle

I’m really terrible at explaining things but I hope this helped

Answer:

The measure of an interior angle is

180° - 24° = 156°.

This polygon has 360°/24° = 15 sides.

The regular polygon has 24 sides, and each interior angle measures 165°.

The measure of an exterior angle of a regular polygon can be found using the formula: 360° divided by the number of sides.

For a polygon with 24 sides, each exterior angle measures (360° / 24) = 15°.

To find the measure of an interior angle in a regular polygon, we use the fact that the sum of exterior angles in any polygon is always 360°.

Since each exterior angle measures 15°, the corresponding interior angle measures (180° - 15°) = 165°.

The number of sides in a regular polygon can be calculated by dividing 360° by the measure of one exterior angle.

In this case, since each exterior angle measures 15°, the number of sides in the polygon is (360° / 15°) = 24.

Therefore, the regular polygon has 24 sides, and each interior angle measures 165°.

The probable question may be:

The measure of an exterior angle of a regular polygon is given below Find the measure of an exterior angle. The find the number of sides

24

What is the measure of an interior angle?

How many side does the polygon have?

Answer:

4

Step-by-step explanation:

-6g+36=12

-6g=12-36

-6g=-24

6g=24

g=24/6

g=4

Answer:

g= - 8

Step-by-step explanation:

Simplifying

-6g + -36 = 12

Reorder the terms:

-36 + -6g = 12

Solving

-36 + -6g = 12

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '36' to each side of the equation.

-36 + 36 + -6g = 12 + 36

Combine like terms: -36 + 36 = 0

0 + -6g = 12 + 36

-6g = 12 + 36

Combine like terms: 12 + 36 = 48

-6g = 48

Divide each side by '-6'.

g = -8

Simplifying

g = -8

Answer: X = 13.2 (Approximated to the nearest tenth)

Step-by-step explanation: This is a right angled triangle, with one side given, and one angle given. We can calculate the other two sides provided the reference angles are known, and in this question, all angles are known. One is 90°, the second is 47° while the third is 43° (that is 180° - {90° + 47°} )

We shall use angle 47 as the reference angle, and note that the line that lies between the reference angle and the right angle is the adjacent. Note also that the unknown side is the hypotenuse, (the side facing the right angle).

Now that we have established two sides of the triangle, the adjacent (9 units) and the hypotenuse (X), we can calculate the unknown side by using the trigonometrical ratio of cosine.

Cos 47 = adjacent/hypotenuse

Cos 47 = 9/X

By cross multiplication we now have

X/1 = 9/Cos 47

By checking your table of values or by use of your calculator, cos 47 is equal to 0.6819

Therefore

X = 9/0.6819

X = 13.19 units

However, by rounding up to the nearest tenth,

X = 13.2 units

You apply the formula of tan^-1(15÷15) wich gives you 45 degrees

Final answer:

The coordinates of vertex W of parallelogram WXYZ, given vertices X(-2,-3), Y(0, 5), and Z(7, 7), are W(9, 15). This is found by calculating vector ZW as equal to vector XY and adding ZW to the coordinates of Z.

Explanation:

The coordinates of vertex W of parallelogram WXYZ can be found by using the properties of parallelograms. In a parallelogram, opposite sides are equal in length and parallel. Given vertices X(-2,-3), Y(0, 5), and Z(7, 7), we can first find the vector representation from X to Y and from Y to Z:

To find the vector from Z to W, which we'll call ZW, we use the fact that ZW must be parallel and equal in length to vector XY. Therefore:

Now we add vector ZW to the coordinates of Z to find W:

Thus, the coordinates of vertex W are (9, 15).

Answer:

a.  [tex]$ x^{-5} $[/tex]

b.  [tex]$ 3x^{-2} $[/tex]

c.   [tex]$ \frac{4}{3}x^4 $[/tex]

Step-by-step explanation:

We have to know the two results to compute the problems.

1.  [tex]$ x^a . x^b = x^{a + b} $[/tex]

2.  [tex]$ \frac{x^c}{x^d} = x^c . x^{-d} = x^{c - d} $[/tex]

a. [tex]$ \frac{x^3}{x^8} $[/tex]

Using (2), we get: [tex]$ \frac{x^3}{x^8} = x^{3 - 8}[/tex]

[tex]$ \textbf{= x}^{\textbf{5}} $[/tex]

b. [tex]$ \frac{6x}{2x^3} $[/tex]

[tex]$ = 3\frac{x}{x^3} $[/tex]

[tex]\textbf{= 3x}^{\textbf{-2}} $[/tex]

c. [tex]$ \frac{28x^6}{21x^2} $[/tex]

[tex]$ = \frac{4}{3}x^{6 - 2} $[/tex]

[tex]$ = \frac{\textbf{4}}{\textbf{3}}\textbf{x}^{\textbf{4}} $[/tex]

Hence, the answer.

Answer:

4.89 cm

Step-by-step explanation:

Formula for arc length = (angle/360)×2×pi×r

(70/360)×2×pi×4 = 4.89cm

Answer:

There would be 9 roses.

Step-by-step explanation:

The ratio began as 3 to 5 so in all there were 8 flowers.

If there are 24 , being that 8 x 3 = 24, then all you have to is multiply both sides of the ratio by 3.

3 x 3 = 9

5 x 3 = 15

9 + 15 = 24

New ratio is 9 to 15

The answer is option C) 19,-19

Step-by-step explanation:

Given, z² = 361

To eliminate the square of z, take square root on both sides

z = √361

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

[tex]\mathsf{z^2 = 361}\\\\\large\text{Take the square root of the number 361}\\\\\mathsf{z = \pm \sqrt{361}}\\\\\large\text{Simplify it}\\\\\mathsf{z = -19\ or\ z = 19}\\\\\\\huge\text{Therefore your answer should be:}\\\huge\boxed{\mathsf{z = 19\ or\ z = -19 \ (Option\ C.)}}\huge\checkmark[/tex]

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

Answer:

8

Step-by-step explanation:

macon has 4 TIMES as many as his bro, so just divide 4.

32 / 4 = 8

Answer:

C.

Step-by-step explanation:

as 0.05 is 1/10 of a number, multiplying 0.05 by 10 will give you the number that when divided by 10 will give you 0.05. Hence just multiply 0.05 by 10 and you get 0.5.

Answer:

3 x 10^3

Step-by-step explanation:

The first is to identify the operation to be performed, it is a quotient between two potency.

Being two potency of the same base number (10), the property says that the quotient of two potency of the same base subtracts its exponent, and the base remains the same.

The corresponding exponents are 8 and 5.

The subtraction is 8-5 = 3.

The whole number that accompanies the base is divided in a current way, that is 12/4. Therefore, the result is 3.

Answer:

x = -5

Step-by-step explanation:

3(x + 1) = 2(x - 1)​

Distribute on both sides.

3x + 3 = 2x - 2

Subtract 2x from both sides.

x + 3 = -2

Subtract 3 from both sides.

x = -5

Answer:

The answer you are looking for is x = -5.

Step-by-step explanation:

First, start by distributing the 3 and 2.  This will remove the parentheses.  The way you do this is by multiplying each number or variable inside the parentheses by the number outside the parentheses.

3x + 3 = 2x - 2

Next, get the variable to one side.  One way to accomplish this is by subtracting 2x from each side.

x + 3 = -2

Lastly, move the numbers to one side.  Do this by subtracting 3 from both sides.

x = -5

There you go.  Your answer is now in the simplest form.  Confirm the answer is as simple as plugging in -5 for x in the original equation.

Answer:

It will take 1/2 of a year or 6 months for these trees to be the same height.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Type A is 2 feet tall and grows at a rate of 25 inches per year.

Type B is 10 feet tall and grows at a rate of 9 inches per year.

2. Algebraically determine exactly how many years it will take for these trees to be the same height.

x = Number of years

Type A = 2 + 25x

Type B = 10 + 9x

Let's solve for x, using the following equation:

Type A =  Type B

2 + 25x = 10 + 9x

25x - 9x = 10 - 2

16x = 8

x = 8/16 = 1/2

It will take 1/2 of a year or 6 months for these trees to be the same height.

Let's prove it, this way:

2 + 25x = 10 + 9x

2 + 25 (1/2) = 10 + 9 (1/2)

2 + 25/2 = 10 + 9/2

29/2 = 29/2

14.5 = 14.5

The geometry sequence has the equation [tex]a(n)=5(3^{n-1})[/tex].

The 5 represents the first number of the sequence and the 3 represents the common ratio.

a(5) = [tex]5(3^{5-1})=5(3^{4})=5(81)=405[/tex]

answer: 405

Answer:

It is 405.

It is 405.

Answer:

x = 1/2 or -3

Step-by-step explanation:

to find the zeros, we need to find the values of x which would cause y to become zero,

i.e solve x for :  

5(2x-1)(x+3) = 0   (divide both sides by 5)

(2x-1)(x+3) = 0  

hence either

2x-1 = 0   (add 1 to both sides)

2x = 1    (divide both sides by 2)

x = 1/2   --> first zero

or

x+3 = 0   (subtract 3 from both sides)

x = -3 ----> 2nd zero

In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:

[tex]x\approx 2.9ft[/tex]

First of all, let's calculate the area of the original rectangular garden:

[tex]A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2[/tex]

Jake wants to increase the area by 50%, so the new area would be:

[tex]A'=168(1.5) \\ \\ A'=252ft^2[/tex]

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

[tex](12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives[/tex]

Finally:

In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:

[tex]x\approx 2.9ft[/tex]

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Simple interest formula:

Total = principal x (1 + rate x years)

10 years:

Total = 15,000(1+0.04x10)

Total = $21,000

8 years:

Total = 15000(1+0.04x8)

Total = $19,800

Savings = 21,000 - 19,800 = $1,200

Final answer:

To find the percent of discount, subtract the sale price from the original price, divide by the original price, and multiply by 100. The percent of discount is 30%.

Explanation:

To find the percent of discount, we need to calculate the difference between the original price and the sale price, and then divide it by the original price and multiply by 100.

Original price - Sale price = $129 - $90.30 = $38.70

Percent of discount = ($38.70 / $129) * 100 = 30%

Therefore, the percent of discount is 30%, which is option B.

Answer:

D. 3b2 + 2b ≥ 56

Step-by-step explanation:

I just did the test too

The correct proportion to determine the percentage of red dry erase markers is 'p/100 = 14/56'. By cross-multiplying and simplifying, we find that 25% of the markers are red.

In order to find the percent of dry erase markers that are red, it would be correct to use the proportion 'p/100 = 14/56'. This proportion represents 'p', the percent of red markers out of a total of 100, equal to the actual number of red markers (14) out of the total number of markers (56). Therefore, option A is correct. For example, if you cross-multiply and simplify, you can find the value of 'p' and hence the percentage ratio of red markers. Multiply 14 by 100 to obtain 1400 and then divide 1400 by 56 to obtain 25. Therefore, 25% of the dry erase markers are red.

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Final answer:

When dividing 0.7 by 0.1995, it is crucial to perform the calculation accurately and round it according to the significant figures of the original numbers. Calculators will provide an exact answer, but understanding significant figures is necessary for a correctly rounded result.

Explanation:

Dividing Decimals

When we divide 0.7 by 0.1995, we have to handle decimals properly. It's similar to how a calculator operates but with an understanding of significant figures. The division of decimals can be tricky because calculators give an exact numerical value, which may not respect the precision of the input numbers.

For instance, if we divide 12.2 by 1.7 using a calculator, we get many decimal places. But based on the initial data's significant figures, we must round our answer appropriately. Similarly, if we divide 1.9436 by various powers of 10, we get:

1.9436 ÷ 100 = 0.019436

1.9436 ÷ 1000 = 0.0019436

When dividing by powers of 10, we move the decimal point to the left for each power. In more complex divisions or when your calculator presents more decimals than necessary, it is important to round the answer to the correct number of significant figures.

To represent the actual length of the Mississippi River, which is 2,320 miles, on a map with a scale of 3 cm per 120 miles, the river would be 58 cm long on the map.

The question concerns calculating the scale representation of the actual length of the Mississippi River on a map. According to the given scale, 3 centimeters on the map represents 120 miles in reality. The actual length of the Mississippi River is 2,320 miles. To find the length of the Mississippi River on the map, we use the scale ratio to set up a proportion.

First, we calculate the scale ratio which is 3 cm to 120 miles. This means 1 cm represents 40 miles (120 miles ÷ 3 cm). To find how many centimeters represent 2,320 miles, we divide the actual miles by the miles each centimeter represents. Therefore, 2,320 miles ÷ 40 miles/cm equals 58 cm. Thus, the Mississippi River would be represented as 58 cm long on Kim's map.

Answer:

52

Step-by-step explanation:

240 ÷ 16 = 15

37 + 15 = 52

Answer:

A

Step-by-step explanation:

I'm not entirely sure but please let me know if I'm right

Answer: yes

Step-by-step explanation: 2.20 divided by 10 is .22, so one ounce is 22 cents. 2.64 divided by 12 is .22, 3.30 divided by 15 is .22, and 4.84 divided by 10 is .22. All the costs are the same per ounce, so it is a proportional relationship of .22.

Answer:

The greatest possible value of the second root will be 54.

Step-by-step explanation:

The given quadratic equation is x² - 5mx + 6m² = 0

So, we have to find the values of variable x.

Now, x² - 5mx + 6m² = 0

⇒ x² - 3mx - 2mx + 6m² = 0

⇒ x(x - 3m) - 2m(x - 3m) = 0

⇒ (x - 3m)(x - 2m) = 0

So, x = 3m and 2m.

Now, if 3m = 36

Then, m = 12 and the other root will be x = 2m = 24.

Again, if 2m = 36

Then, m = 18 and the other root will be x = 3m = 54.

So, if one root of the equation is 36 then, the greatest possible value of the second root will be 54. (Answer)

Answer:

6

Step-by-step explanation:

Answer:

Sphere

Step-by-step explanation: