a number tripled increased by five is six

[tex]Use\\\\a^2-b^2=(a-b)(a+b)\\\\i=\sqrt{-1}\to i^2=-1\\------------------------\\\\x^2+25=x^2+5^2=x^2-(-5^2)=x^2-(5i)^2\\\\\boxed{x^2+25=(x-5i)(x+5i)}[/tex]

[tex]\mathsf{\heartsuit\;\; (\sqrt{8})^2 = \sqrt{64}}\\\\\mathsf{\heartsuit\;\; [(8)^\frac{1}{2}]^2 = \sqrt{(8)^2}}\\\\\mathsf{\heartsuit\;\; (8)^\frac{2}{2} = [(8)^2]^\frac{1}{2}}\\\\\mathsf{\heartsuit\;\; 8 = [8]^\frac{2}{2}}\\\\\mathsf{\heartsuit\;\; 8 = 8}\\\\\mathsf{\heartsuit\;\; Option\;(A)\;is\;the\;Answer}[/tex]

The number which will make the equation true, when placed in the box is: A. √8.

In order to determine the unknown number, we would assign a variable (x) to the unknown number and then evaluate the resulting algebraic equation as follows:

x² = √64

x² = 8

Taking the square root of both sides, we have:

x = √8.

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Answer:

1526.0 cubic units

Step-by-step explanation:

Rotating rectangle AKLM you will get cylinder with height KA and base radius KL.  From the given data

[tex]KA=\sqrt{(6-0)^2+(0-0)^2}=6,\\ \\KL=\sqrt{(0-0)^2+(9-0)^2}=9.[/tex]

The volume of the cylinder is

[tex]V_{cylinder}=\pi r^2\cdot H.[/tex]

Then

[tex]V_{cylinder}=\pi \cdot 9^2\cdot 6=486\pi \approx 1526.0\ un^3.[/tex]

Answer:

x = 75

y = 105

Step-by-step explanation:

Remark

You can find y in two different ways.

One

You can recall that y is the sum of the 2 interior angles not connected to it. Those angles are called the remote interior angles. Or

Two

You can add the three angles to 180 and solve for x. Then since x and y are supplementary, you can find y.

Solution

One

y = 60 + 45

y = 105                       Answer

Two

x + 60 + 45 = 180      All triangles have 180 degrees. Solve for x.

x + 105 = 180             Subtract 105 from both sides

x = 180 - 105              Combine

x = 75                         Find an equation that relates x and y

x + y = 180                 x and y are supplementary they add to 180

75 + y = 180               Subtract 75 from both sides.

y = 180 - 75                Combine

y = 105

Answer:

x = 5 and y = -2

Step-by-step explanation:

Here you have given what y is equal to, this means you can sub this into the first equation:

3x - 2(x - 7) = 19

Expand the brackets:

-2 * x = -2x

-2 * -7 = 14

3x -2x +14 = 19

Move the +14 over to the other side making it a -14:

3x - 2x = 19 - 14

3x - 2x = 5

3x - 2x = x

So x = 5

Now sub this into the first equation:

3(5) - 2y = 19

15 - 2y = 19

Move the -2y over to the other side making it a +2y, and move the +19 over to the other side making it a -19:

15 - 19 = 2y

-4 = 2y

Divide both sides by two:

y = -2

So x = 5 and y = -2

Answer: 45%

Step-by-step explanation:

[tex]\underline{\qquad \qquad\quad|\text{Quantity}|\quad\%\quad|\text\quad{Qty } \times\text{\%}\qquad}\\\underline{\text{Solution A }|\text{5 liters}\quad|\text{0.20}\quad|5\times0.20=1.00}\\\underline{\text{Solution B }|\text{5 liters}\quad|\text{0.70}\quad|5\times0.70=3.50}\\\text{Mixture }\quad|\text{ 10 liters }|\quad\text{x}\quad|\qquad\text{4.50}[/tex]

10x = 4.50

  x = .45

    = 45%

Answer:

21

Step-by-step explanation:

Answer:

2,-2

Step-by-step explanation:

Expanding, you get 6(3c) - 6(5d) + 6(6) = 18c - 30d +36

Answer:

18c - 30d +36

Step-by-step explanation:

6(3c - 5d +6)

When we use the distributive property, we distribute the 6 to all the terms inside the parentheses

6*3c - 6*5d +6*6

18c - 30d +36

Answer:

The tree is 20 ft tall.

Step-by-step explanation:

We can use ratio's to solve this problem.   Take the height of the object over the shadow length.

5 ft                  x ft

----------- = ----------------

3ft                  12 ft

Using cross products

5*12 = 3*x

60 = 3x

Divide by 3 on each side

60/3 = 3x/3

20 =x

The tree is 20 ft tall.

The image of the triangle after a dilation with a scale factor of 5/6 is similar to the original triangle. The Option C

No, a dilation with a scale factor of 5/6 does not change the similarity of a triangle. Dilations involve scaling the size of the original figure, but the shape and angles remain unchanged.

In this case, the sides of the triangle will be uniformly reduced by a factor of 5/6, maintaining the proportional relationships between the sides. As a result, the dilated triangle will still be similar to the original triangle and the angles will retain their measurements, just as in the initial triangle.

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Answer:

Step-by-step explanation:

The key and the most critical step is to draw the line first. Don't do anything else before that.

(2,-8) (-2,-8)

What you find out is that the y value is always - 8.

So the line has no slope and any x value

y = 0*x + b

y = - 8 is the equation of the line.

Answer:

I think I might be terribly wrong but 160,728 ft

Step-by-step explanation:

Answer:

503

Step-by-step explanation:

To find the area of a cirlce it is pi x 2 x the radius squared.

Since,this is a semi-circle you dived by 2 afterwards.

So [tex]\pi x 160 x 2 /2[/tex] is 502.857142857

Round that to the nearest one that is 503 ft squared.

Answer:

y = 5/18

Step-by-step explanation:

50/90-y=5/18

Lets simplify our fractions

50/90 = 5/9  (divide top and bottom by 10)

5/9 - y = 5/18

Subtract 5/9 from each side

5/9 -5/9 -y = 5/18 - 5/9

-y = 5/18 - 5/9

We need to get a common denominator of 18

-y = 5/18 - 5/9 *2/2

-y = 5/18 -10/18

-y = -5/18

Multiply each side by -1

-1*-y = -5/18 * -1

y = 5/18

Answer:

Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in

Step-by-step explanation:

Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.

Length = 24 in

Width = 18 in

Radius of the semi circle = Half of the width of the paperboard = [tex]\frac{18}{2}[/tex] = 9 in

1) Circumference of the semi circle = π*radius

= 3.14*9

= 28.26 in

2) Perimeter of the paperboard that remains after the semicircle is removed

= Top + Left + Bottom + Right Circumference of the semi circle

= 24 + 18 + 24 + 28.26

= 94.26 in

Answer:

the answer is 304.84 in2 I just had the question

Answer:

Given the statement: The length of an aquarium, which has the form of a rectangular solid, is equal to 5 decimeters, and the width is 4/5 the length.

Since, aquarium is in the form of a rectangular solid.

Length of an aquarium(l) = 5 dm

Width of an aquarium(w)= [tex]\frac{4}{5}\times 5 = 4 dm[/tex]

It is also given that when you put 40 liters of water into the aquarium, it was full to [tex]\frac{2}{3}[/tex] its volume.

Volume of Rectangular solid(V) is given by;

[tex]V = l \times b \times h[/tex] where l is the length , w is the width and h is the height of the rectangle respectively.

Volume(V) of an aquarium = [tex]\frac{3}{2} \times 40 = 60[/tex] liter.

Using volume formula to calculate the height(h);

[tex]60 = 5 \times 4 \times h[/tex]

[tex]60 = 20h[/tex]

Divide both sides by 20 we get;

h =  3 dm                      [ 1 liter = 1 cubic dm]

We have to find the what part of length makes up the height of the aquarium.

[tex]h = \frac{3}{5} l[/tex]       where l = 5 dm

therefore, [tex]\frac{3}{5}[/tex] part of the length makes up the height of the aquarium.

Answer:

A) [tex]x=\frac{h-6}{1.5}[/tex]

B)[tex]26[/tex]

Step-by-step explanation:

A)Let's call the height of the plant [tex]h[/tex] and this height will be 6 inches on the day 0 like this:

[tex]h=6[/tex]

on the day 1 of the month the plant will have the original 6 inches plus the height it grew the first day  which will be 1.5 inches

[tex]h=6+1.5[/tex]

on the day 2 of the month the plant will have the original 6 inches plus the height it grew the first day plus the height it grew the second day which will be again 1.5 inches

[tex]h=6+1.5+1.5[/tex]

we can see that on the day 1 we add 1.5 inches one time, on the day 2 we add 1.5 inches two times. it is possible to say now that the height will be the original 6 inches plus 1.5 times the days of the month like this:

[tex]h=6+1.5x[/tex]

We will solve for x because we need to find the number of days for a given h like this:

[tex]h=6+1.5x\\h-6=1.5x\\x=\frac{h-6}{1.5}[/tex]

and this will be our equation that trent can use to find the number of days (x), it will take the sunflower to a given height.

B)to know how many days it will take for he sonflower to grow to a height of 45 inches we replace h in the equation with 45 like this:

[tex]x=\frac{h-6}{1.5}\\x=\frac{45-6}{1.5}\\x=26[/tex]

The sunflower will take 26 days to grow to a height of 45 inches

Answer:

the answer is the last one

Step-by-step explanation:

i drew all the example and i would say that the last one came out having a proportional relationship.

tell me if i got it right!

Final answer:

Sasha has read approximately 64.66% of the novel by dividing the number of pages she read (276) by the total number of pages (427), and then multiplying the result by 100.

Explanation:

To find out what percentage of the novel Sasha has read, we need to use the formula for percentage:
Percentage = (Part / Whole) × 100

Sasha has read 276 pages of a 427-page novel. So, in this case, the part is 276, and the whole is 427.

Now we calculate:

Let's do the math:

Therefore, Sasha has read about 64.66% of the novel.

Answer:82,600

Step-by-step explanation:

round down, as 19 is closer to than 100, so keep the 100's place there and take out the 10's and 1's and change them to 0. Please mark my answer as brainliest!

Answer:82700

Step-by-step explanation:

Answer:

$7.20

Step-by-step explanation:

I got u bro, Divide the price of the stickers by the number of stickers ($3/5=$.60) multiply the price of one sticker by the number of stickers ($.60x12=) :)

Final answer:

The cost of 12 stickers can be found by writing the proportion 5 stickers/3 dollars = 12 stickers/c dollars and solving for c, which yields c = 7.2. Thus, 12 stickers cost $7.20.

Explanation:

The student is asked to write a proportion to determine the cost c if they buy 12 stickers when the known price is 5 stickers for $3. To set up the proportion, we can compare the number of stickers to the cost. We have one ratio of 5 stickers to $3, and we need to find the equivalent ratio for 12 stickers to $c. The proportion can be represented as:

5 stickers / 3 dollars = 12 stickers / c dollars

Now we cross-multiply to solve for c:
5 * c = 3 * 12

c = (3 * 12) / 5

c = 36 / 5

c = 7.2

Therefore, the cost c of 12 stickers is $7.20.

Answer:

It is a rational number and real number

Explanation:

it is a real number because it can become .75 and that is a real number.

it is a rational number because assume that 3/4 is a rational number. Since every rational number can be expressed as a/b form which do not have any common factor so we can say that a/b = 3/4 Squaring both side we get: a2/b2 = 9/16 a2 = (9/16) b2 Or we can say b2 = a2(16/9) a2 is divided by 9. So we can say that a is divided by 9. It implies that there exist some number c such that a/9 = c a = 9c By squaring both side we get a2 = 81 c2 Put the value of a2 from the equation a2 = (9/16) b2 we get: (9/16)b2 = 81c2 this tends to b2/ 9 = 16 c2 It implies that b2 is divided by 9. So we can say that b is divided by 9. This implies that a and b have a common factor 9. Since a and b have common factor therefore 3/4 is not a irrational number. Hence 3/4 is a rational number.

Good luck

Please mark me brainliest

Answer:

3/4 is a rational number and also a real number

Step-by-step explanation:

to prove 3/4 is real

3/4 is a fraction. It is a proper fraction since denominator  is grater than numerator.

3/4 can be written as 0.75 which is terminating decimal.

Therefore 3/4 is a real number

To prove 3/4 is a rational number

3/4 is the form of p/q.

Therefore 3/4 is a rational number.

Answer:

The value of x is 68 degrees!

Step-by-step explanation:

In this question, we have an isosceles triangle because of Base Angles Theorem. The 2 sides are congruent, which means its an isosceles and that the Base angles are congruent. So far, we know that 2 angles are equal to 112 degrees. Due to Sum Angles Theorem, we can go 180-112 to get 68 degrees!

Answer:

x=68

Step-by-step explanation:

Since this is an isosceles triangle, the bottom two angles are the same value, 56 degrees.  The three angles of a triangle add to 180 degrees.

56+56+ x = 180

Combine like terms

112 +x = 180

Subtract 112 from each side

112-122 +x = 180 -112

x =68

If x and y are proportional, then y : a = constant.

[tex]\dfrac{y}{x}=a\to y=ax[/tex] ← the equation

We have y = 19x - 5. It's not a proportional.

Answer:

105.42

Step-by-step explanation:

       259.63

        154.21

         105.42

Answer:

3 fancy shorts

4 plain

Step-by-step explanation:

By setting up equations for the total cost and the number of shorts purchased, we find that Kristin bought 2 fancy shorts at $28 each and 5 plain shorts at $15 each.

To solve the problem, let's denote the number of fancy shorts Kristin bought as F and the number of plain shorts as P. The problem gives us two conditions: Kristin spent a total of $131 on shorts, and she bought a total of 7 shorts. Fancy shorts cost $28 each, and plain shorts cost $15 each.

Now, we can set up two equations based on this information:

Using equation (2), we can express P as P = 7 - F and substitute this into equation (1) to solve for F:

28F + 15(7 - F) = 131

Simplify the equation:

28F + 105 - 15F = 131

13F = 26

F = 2

Now that we have the value for F, we can use it to find P:

P = 7 - F

P = 7 - 2

P = 5

Kristin bought 2 fancy shorts and 5 plain shorts.

Answer:

D[tex]_o[/tex] of Y = (-3/2, -1)

Step-by-step explanation:

We are given three points on the graph:

X (4, 0)

Y (3, 2)

Z (2, 2)

and the scale factor of dilation which is [tex]-\frac{1}{2}[/tex].

Given that, we are to find the coordinates of Y after dilation. To find that, we will multiply the coordinates of the point Y with the scale factor.

Y =  [tex](-\frac{1}{2}[/tex] × [tex]3[/tex] , (-\frac{1}{2}[/tex] × [tex]2)[/tex]

Y = [tex](-\frac{3}{2} , -1)[/tex]

The slope-intercept form of a line:

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

m - slope

b - y-intercept.

The formula of a slope:

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

We have the points (-1, -2) and (-2, 7). Substitute:

[tex]m=\dfrac{7-(-2)}{-2-(-1)}=\dfrac{9}{-1}=-9[/tex]

Therefore we have [tex]y=-9x+b[/tex].

Put the coordinates of the point (-1, -2) to the equation of a line:

[tex]-2=(-9)(-1)+b[/tex]

[tex]-2=9+b[/tex]     subtract 9 from both sides

[tex]-11=b\to b=-11[/tex]

Answer:

The approximate distance between the points is 38.2

Step-by-step explanation:

The distance between these two points is a diagonal line. In order to solve this problem, you need to plot your points and form a right triangle.  The overall distance from one point to another on the x-axis is 26 (12-(-14)), and the overall distance from one point to another on the y-axis is 28 (20-(-8)).  These two distances will form a right angle at (-14,-8).  The distances on the x and y axis are the 'legs' of the triangle and the distance between the given points in the problem represents the hypotenuse.  Using the pythagorean theorem (a^2 +b^2 = c^2), we can substitute in our values of 'a' and 'b' to get 28^2 + 26^2 = c^2, or 784 + 676= 1460, therefor the square root of 1460 is approximately 38.2.

So to find the distance between these two points, we are going to be plugging them into the Distance Formula and solving as such:

[tex]D=\sqrt{(12-(-14))^2+(-8-20)^2}\\D=\sqrt{(26)^2+(-28)^2}\\D=\sqrt{676+784}\\D=\sqrt{1460}[/tex]

Now, with this radical we can simplify it using the product rule of radicals (√ab = √a × √b) as such:

[tex]\sqrt{1460}=\sqrt{10*146}=\sqrt{5*2*2*73}=2*\sqrt{73*5}=2\sqrt{365}[/tex]

In short: