Solve for x.
32 exponet 5-3x=2 exponet-10x

Answer:

8

Step-by-step explanation:

Let's take the first number as X.

Then,

X+2X+(2X-3)=37

5X=37+3

5X=40

X=40/5

X=8

First number=8

Answer:

x = 10.

Step-by-step explanation:

By similar triangles:

3x - 5 / (3x - 5 +10) = 20 / 28

3x-5 / 3x+5 = 5/7

7(3x - 5) = 5(3x + 5)

21x - 35 = 15x + 25

6x = 60

x = 10.

Answer:

x= 10

Step-by-step explanation:

By similar triangles:

3x - 5 / (3x - 5 +10) = 20 / 28

3x-5 / 3x+5 = 5/7

7(3x - 5) = 5(3x + 5)

21x - 35 = 15x + 25

6x = 60

x = 10.

                   [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

            Find the equation of the line passing through (4, 5) and parallel to

                3x-2y=4.

 [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

[tex]\rightarrow[/tex] First, add 2y on both sides:-

                            [tex]\Large\textsf{3x+2y=4}[/tex]

[tex]\rightarrow[/tex] Now, subtract 3x on both sides:-

                  [tex]\Large\textsf{2y=-3x+4}[/tex]

[tex]\rightarrow[/tex] Divide by 2 on both sides

    [tex]\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}[/tex]

[tex]\rule{300}{3}[/tex]

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

[tex]\Large\text{$-\displaystyle\frac{3}{2}$}[/tex]

Now let's write the equation in point-slope form:-

[tex]\hookrightarrow\sf{y-y_1=m(x-x_1)}[/tex]

Replace numbers with letters, as follows:-

[tex]\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}[/tex]

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

[tex]\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}[/tex]

Now, Add 5 on both sides:-

[tex]\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}[/tex]

[tex]\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}[/tex]

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[tex]\rule{300}{1}[/tex]

The height of the home is 20.71 feet and when stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the house, hence:

tan(46) = h/20

h = 20.71 feet

The height of the home is 20.71 feet and when stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°.

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The reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution

The substitution property of equality states that, if m = n, then m can be substituted in for n in any equation, and vice versa.

From the question, we are to determine the reason that best supports Statement 3

In the diagram, statement 3 is

m∠A ÷ 5 = 20°

From the given expressions,

m∠A ÷ 5 = m∠B and m∠B = 20°

By the substitution property, we can substitute 20° for m∠B in the first expression

That is,

m∠A ÷ 5 = m∠B  becomes

m∠A ÷ 5 = 20°

Hence, the reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution

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Answer: -1/3

Step-by-step explanation:

The formula is y2 - y1/ x2 - x1 . So the answer would be -1/3 bc 3 - 2 = 1 and -11 - (-8) = -3.

Answer:

544

Step-by-step explanation:

   136 * ( 8 + (-4 ) = 136 * 8 + [ 136 * (-4) ]

                           = 1088 - 544

                           = 544

Answer:

A≈391.18

Step-by-step explanation:

The formula to find the surface area of a triangular prism is as follows:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

Plug in . .

A=ah+bh+ch+[tex]\frac{1}{2}[/tex][tex]\sqrt{ a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4}[/tex]

A = 6 * 20 + 6 * 20 + 6 * 20 + [tex]\frac{1}{2}[/tex] * [tex]\sqrt{64 + 2 * (6 * 6)2 + 2 * (6 * 6)2 - 64 + 2 *(6 * 6)2 * 64}[/tex]

A≈391.18

Answer:

391.2 square cm

Step-by-step explanation:

  l = 20 cm  

Base area = 15.6 square cm

   [tex]\sf \boxed{\text{Surface area of triangular prism = Perimeter of base * l + 2*base area}}[/tex]

                                                        = (6+6+6)*20 + 2*15.6

                                                        = 18*20 + 31.2

                                                        = 360 +31.2

                                                         = 391.2 square cm

Answer: r = 1.5

Step-by-step explanation:

The geometric sequence formula is in the attached image.

Using the formula, we take number 3, which is 9.

[tex]9 = 4(r)^{2} \\\frac{9}{4} = r^{2} \\\sqrt{\frac{9}{4}} = 1.5[/tex]

Answer:

[tex]y \: intercept = - 1 \frac{1}{2} [/tex]

Step-by-step explanation:

The y intercept form for the equation of a line is

[tex]y = mx + c[/tex]

You should note that c represents the y-intercept of the line (where the line touches the y-axis)

[tex]y = mx + c \\ \\ we \:were\: given \:the \:equation \:y = x - \frac{3}{2} \\ \\ therefore \: the\: value \:of \:c \:is\: - \frac{3}{2} \:or -1 \frac {1}{2}[/tex]

Answer: can i get

Step-by-step explanation:

so your question is

A class quiz has 5 multiple-choice questions and each question has 4 possible answers (A, B, C, or D). Which spinner would best simulate this scenario?

A spinner with 2 equal sections.

A spinner with 4 equal sections.

A spinner with 6 equal sections.

A spinner with 8 equal sections.

Ur answer is B.....   hope this helps .... please mark Brainliest , or u don't have to its fine

Answer:

312cm2

Step-by-step explanation:

16*12=192

10*6/2=30

30*4=120

192+120=312

Answer:

85.2 cm^2

Step-by-step explanation:

two bases' area    2 * 15.6 = 31.2 cm^2

  now add the three sides....they are all the same size

      three  X  6 x 3   = 54 cm^2

summed = 85.2 cm^2

Answer:

the surface area of a rectangular prism

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discussion

This is a proportion question. A proportion is 2 ratios separated by an equal sign.

If you know three of the components you can solve for the fourth.

Givens

28.1 % are females

42000 are female doctors.

100% is what is required.

Equation

28.1% / 100% = 42000 / x                  Cross Multiply

28.1 * x = 42000 * 100                        Combine

28.1 * x = 4200000                             Divide by 28.1

28.1/28.1 x = 4200000/28.1

x  = 149466 is the total doctors

Answer

149366 is the total number of doctors.

Answer:

750

Step-by-step explanation

Answer:

y = 2x + 3

Step-by-step explanation:

Hi there!

We are given the points (-1, 1) and (3,9) which belong to a line

We want to write the equation of the line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope of the line

The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Let's label the values of the points before we start, to avoid confusion and mistakes

[tex]x_1 = -1\\y_1=1\\x_2=3\\y_2=9[/tex]

Now substitute into the formula (note: the formula has SUBTRACTION, and we have NEGATIVE numbers, so we'll end up subtracting a negative)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{9-1}{3--1}[/tex]

Simplify

m=[tex]\frac{9-1}{3+1}[/tex]

m=[tex]\frac{8}{4}[/tex]

Divide

m = 2

The slope of the line is 2

We can substitute this as m in y=mx+b.

y = 2x + b

Now we need to find b

As the equation passes through the point (-1, 1) and (3, 9), we can use either point to help solve for b.

Taking (3, 9) for example:

substitute 3 as x and 9 as y.

9 = 2(3) + b

Multiply

9 = 6 + b

Subtract 6 from both sides

3 = b

Substitute 3 as b in the equation

y = 2x + 3

Hope this helps!

Topic: finding the equation of the line

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Answer:

$8.61 (nearest cent)

Step-by-step explanation:

The graphed data with the line of best fit (attached).

From the graphing calculator, the given line of regression is:

y = 0.125873x - 7.11916

To estimate the minimum hourly wage in 2025:

⇒ x = 2025 - 1900 = 125

Substitute x = 125 into the equation:

⇒ y = 0.125873(125) - 7.11916

⇒ y = 8.614965

Therefore, minimum hourly wage = $8.61 (nearest cent)

Answer:

D

Step-by-step explanation:

the other 3 options are all true.

the sum of all angles in a triangle is always 180°.

so, when T is 40°, that leaves 180-40 = 140° to the other 2 angles. in an isoceles triangle they must be equal to each other, so they are half of the remaining 140°, which is 70°.

and of course the 2 sides are equal (hence "isoceles").

Answer:

It would most likely be 65

Step-by-step explanation:

180 - 115 = 65

Answer:

115°

Step-by-step explanation:

The measure of an arc is the measure of its central angle.

Since the central angle is 115°, its intercepted arc (which is marked with the questionmark) is also going to be 115°.

Answer:

n = 9 / 2 or 4.5

Step-by-step explanation:

2/3 = 3/N

cross multiply

2 x n = 2n

3 x 3 = 9

2n = 9

divided both sides by 2

2n / 2 = 9 / 2

n = 9 / 2

Using the Central Limit Theorem, it is found that the correct statement is given by:

bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex]

In this problem, for sophomores, we have that:

np = 32 x 0.18 = 5.76 < 10.

Hence the distribution cannot be normal, which means that the correct statement is:

bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.

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Answer:

  1, 5, 10, 10, 5, 1

Step-by-step explanation:

The coefficients for the expansion of the 5th power of a binomial are found on the 5th row of Pascal's triangle. They are ...

  1, 5, 10, 10, 5, 1

__

Algebraically, they are computed using the formula for 5 things taken k at a time:

  5!/(k!(5-k)!)

Answer:

$153

Step-by-step explanation:

4.25 times 3 = 12.75 so its 12.75 percentage of 1200. Which is $153.

Answer:

[tex] \approx58\%[/tex]

Step-by-step explanation:

Answer:

x = 67°

Step-by-step explanation:

The sum of the exterior angles of a convex pentagon is 360°.

Hence, by adding the given angle measures, we can find x.

⇒ x + 77 + 72 + 64 + 80 = 360

⇒ x + 149 + 144 = 360

⇒ x + 293 = 360

⇒ x = 67°

Answer:

Step-by-step explanation:

We know that exterior angles of any polygon sum to 360°.

Use the given angle measures to find the sum

Solve it for x