2+9x=3(4x+1)-1
Find each solution

Answer:−21x−8

Step-by-step explanation: All sides have the same measure in a square, therefore all sides are 3x-8. Area is equal to 3x-8 times 3x-8 which is −21x−8

If the side of the square is (3x - 8), the area of the square is 9x² -48x + 64

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

Square:

Side = (3x - 8)

The area of a square.

= Side²

= (3x - 8)²

Factorize using [(a + b)² = a² + 2ab + b²].

Now,

(3x - 8)²

= 9x² + 8² - 48x

= 9x² -48x + 64

Thus,

The area of the square is 9x² -48x + 64.

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Answer: n = 5a-6 / a-b

Step-by-step explanation: Move all of your terms to the left side of the equation and then set the equal to 0. Then, set each of your factors equal to 0, as well.

I hope this helps you out.

Answer:

48

Step-by-step explanation:

48.1

for decimals:

0-4 keep the number the same

5-9 rounds up

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Since Solise want to plant both trees and bushes in the same number of rows, you need to find the common factor.

Since the question is asking what the greatest number of rows she can plant, you have to find the greatest common factor.

The greatest common factor of 24 and 16 is 8.

You can plant 24 bushes in 8 rows (meaning you can divide it by 8), and 16 trees in 8 rows (meaning you can divide it by 8). Since the greatest number you can divide them both by is 8, the GCF of 24 and 16 is 8.

So the greatest number of rows Solise can plant is 8 rows.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

36

Step-by-step explanation:

F1 = 1

F2 = 1 + 2

F3 = 1 + 2 + 3

--> The n(th) figure has the number of oranges = the sum of the first n natural numbers, which has the general form:

F(n) = 1 + 2 + 3 + ... + n = n(n+1) / 2

So, 8th figure has:

F(8) = 8.(8+1) / 2 = 8 . 9 / 2 = 36

Answer:

Below.

Step-by-step explanation:

2x  + 2 - 2 = 10 - 2    Subtraction property of equality.

Answer: x=2

Step-by-step explanation:

Given

9(x+1)=25+x

Distributive property

9x+9=25+x

Subtract x on both sides

9x+9-x=25+x-x

8x+9=25

Subtract 9 on both sides

8x+9-9=25-9

8x=16

Divide 8 on both sides

8/8 x=16/8

x=2

Hope this helps!! :)

Please let me know if you have any question

Answer:

x = 2

Step-by-step explanation:

big brain/took test

Answer:

36v² - 60xv + 25x²

Step-by-step explanation:

Step 1: Write out expression

(6v - 5x)²

Step 2: Expand

(6v - 5x)(6v - 5x)

Step 3: FOIL

36v² - 30xv - 30xv + 25x²

Step 4: Combine like terms

36v² - 60xv + 25x²

Answer:

40ft

Step-by-step explanation:

√100=10

10*4=40ft

Answer:

The correct answer is 40 feet.

Step-by-step explanation:

We know that the area of the square is 100 square feet.  We also know that we can find the area of the square using the formula A = s^2, where s represents the side length of the square.

A = s^2

If we plug in the value for the area that we are given, we get:

100 = s^2

To find the side length, we take the square root of both sides.

10 = s

To find the perimeter of a square, we should add up four times the side length (since there are 4 equal sides to a square).

Thus, the perimeter of a square is given by:

P = 4s = 4(10) = 40 feet

Therefore, the correct answer is 40 feet.

Hope this helps!

Answer:

14

Step-by-step explanation:

To evaluate, substitute x = 5 into the expression, that is

5² - 3(5) + 4 = 25 - 15 + 4 = 14

Answer:

ΔADE is isosceles

Step-by-step explanation:

Δ ABC is isosceles

AB ≅ AC

∠B ≅ ∠C

If DE parallel to BC

AD ≅ AE

∠D ≅ ∠E

ΔADE is isosceles

The isosceles triangle is a polygon with three sides, two being equal and the other unequal.

The angles D and E will also be equal  and the A other different.

Answer:

Step-by-step explanation:

Multiplication

Ratio of Tables to garbage = 8:3

Small camp ground:

40 picnic tables and let x be the number of garbage cans

[tex]\frac{8}{3}=\frac{40}{x}\\\\\frac{8*5}{3*5}=\frac{40}{x}\\\\\frac{40}{15}=\frac{40}{x}\\\\[/tex]

x = 15

Small campground with 40 picnic table needs 15 garbage cans

Large picnic ground:

120 picnic tables and let y be the number of garbage cans

[tex]\frac{8}{3}=\frac{120}{y}\\\\\frac{8*15}{3*15}=\frac{120}{y}\\\\\frac{120}{45}=\frac{120}{y}[/tex]

y= 45

Big campground with 120 picnic table needs 45 garbage cans

Answer:

60°, 100° and 120°

Step-by-step explanation:

The angles x, y and z all lie on straight lines adjacent to other angles, thus

x = 180° - 120° = 60°

y = 180° - 80° = 100°

z = 180° - 60° = 120°

Answer:

Options (3) and (6)

Step-by-step explanation:

"A straight line is a set of all points between two points and extending beyond these points."

Therefore, from the given diagram,

Arrows connecting set of two points B and C and D and E will be straight lines.

Geometrically we denote them with an arrow over the line.

[tex]\overleftrightarrow {BC}[/tex] and [tex]\overleftrightarrow {DE}[/tex]

Therefore, Options (3) and (6) will be the answer.

Sorry didn't know how to write the answer so I just took a screen shot of my answer for you!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{25 {x}^{4} - 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(5 {x}^{2} - 2)(5 {x}^{2} + 2)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

[tex] \dashrightarrow{ \sf{5 {x}^{2} (5 {x}^{2} + 2) - 2(5 {x}^{2} + 2)}}[/tex]

[tex] \dashrightarrow{ \sf{25 {x}^{4} + 10 {x}^{2} - 10 {x}^{2} - 4}}[/tex]

Since two opposites add up to zero , remove them from the expression

[tex] \dashrightarrow{ \sf{25 {x}^{4} - 4}}[/tex]

Hope I helped!

Best regards! :D

Answer:

  (-∞, -5/2) ∪ (1, ∞)

Step-by-step explanation:

"Increasing" means the graph goes up to the right. It is increasing from the left up to the local maximum--the peak at left.

It is increasing again from the local minimum on the right to the right side of the graph.

The two sections where the graph is increasing are ...

  (-∞, -5/2) ∪ (1, ∞)

__

The graph is decreasing between the maximum on the left and the minimum on the right.

Answer:

7 times 5 is 35 so I think that's the answer

Answer:

Step-by-step explanation: 35- Because 7÷35

Answer: 3/8

Step-by-step explanation: 1/4 x 2 = 2/8 + 3/8 = 5/8 pizza gone. 1 - 5/8 = 3/8

ANSWER:  3/8

let's assume that Derrick is a nice guy and his pizza is an integer of 1

first he gave his friend a quarter so we subtract [tex]\frac{1}{4}[/tex] from 1

[tex]1-\frac{1}{4}[/tex]

now we rewrite 1 as a fraction with a denominator of 4 so that we're able to subtract: [tex]\frac{4}{4}-\frac{1}{4} =\frac{3}{4}[/tex]

now that Derrick still has [tex]\frac{3}{4}[/tex] of his pizza he's gonna give [tex]\frac{3}{8}[/tex] to his sister as well

meaning that we subtract again: [tex]\frac{3}{4} -\frac{3}{8}[/tex]

in order to be able to subtract different fractions, they got to have the same denominator, so we're going to multiply [tex]\frac{3}{4}[/tex] both numerator and denominator by 2: [tex]\frac{2*3}{2*4} -\frac{3}{8} = \frac{6}{8} -\frac{3}{8} = \frac{3}{8}[/tex]

we can now conclude that Derrick is left with only [tex]\frac{3}{8}[/tex] of his pizza.

Answer:

b x 15

Step-by-step explanation:

b x 15

b = total number of teams

15 is how many players on each team

Answer:

-14w + 4

Step-by-step explanation:

-7w - 5 - 7w + 9

-7w - 7w + 4

-14w + 4

Answer:

4 gallons of 15% ethanol

5 gallons of 78% ethanol

Step-by-step explanation:

Given that:

Two types of gases:

1st gas with 15% ethanol

2nd gas with 78% ethanol

The gases are to be mixed in such a way that the mixture of gases comes out to be with 50% ethanol with volume of 9 gallons.

Let amount of gas with 15% ethanol used = [tex]x[/tex] gallons

Now, we are given that total volume is 9 gallons, then

amount of gas with 78% ethanol used = 9 - [tex]x[/tex] gallons

As per the question statement:

[tex]x\times 15\% + (9-x)\times 78\%=9\times 50\%\\\Rightarrow x\times 15 + (9-x)\times 78=9\times 50\\\Rightarrow 9\times 78-9\times 50=63x\\\Rightarrow 9\times 28=63x\\\Rightarrow \bold{x = 4\ gallons}[/tex]

Therefore, the answers are:

4 gallons of 15% ethanol

9 - 4 = 5 gallons of 78% ethanol

The number of gallons required of both kind would be as follows:

4 gallons having 15% ethanol

5 gallons having 78% ethanol

Given that,

The 2 kinds of gases are:

One with 15% ethanol

Other with 78% ethanol

Given that,

The gases(ethanol and gasoline) are diluted in a such a manner that it involves a total of only 50% ethanol.

Number of gallons she wants to use = 9

This shows that only 50% of 9 gallons i.e. 4.5 gallons of ethanol can be used.

Assuming x being the gasoline's measure that is diluted with 15% ethanol.

Now,

The gasoline's measure that is diluted with 78% ethanol would be = 9 - x gallons

Therefore,

x × 15% + (9-x) × 78% = 4.5

On solving, we get

x = 4 gallons

Thus,

The measure of gallons having 15% ethanol = 4

The measure of gallons having 78% ethanol = (9 - x)

= (9 - 4)

= 5 gallons

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Answer:

26

Step-by-step explanation:

First, using PEMDAS, do Multiplication, and division. (30 - 4)

Next, suptract to get your answer.

Answer:

26

Step-by-step explanation:

No P(emdas)

No e(Pemdas)

Multiplication (5 x 6)

5x6=30

Division (12/3)

12/3=4

No addition

Subtraction (30)-(4)

30-4=26

Answer:

Yes, it is.

Step-by-step explanation:

A function is a relation between two sets of elements, where each valid input can be mapped to exactly one output.

Indeed, the relation in this question is between two sets of elements. Each of these pairs includes exactly two elements: the input and the output.

On the other hand, does this relation maps each valid input to exactly one output? Arrange these pairs by the input in increasing order:

Indeed, the input [tex]-3[/tex] appeared twice in the list. However, in both occurrence, this input mapped to the same output, [tex]6[/tex]. This relation is still a function.

Answer:

Here the mistake is that she drew a circle from the point A to intersect the line rather the drawing arcs from the point C

The next another circle was drawn from the point of the intersection of the first circle and the intersection of both circles was used to draw the perpendicular at the midpoint of the intersection of both circles.

Step-by-step explanation:

To construct a line perpendicular to another line through a point the following steps are required

1) From the point, with the compass, C draw  to intersect the line at points A and B

2) From A and B with the compass made wider, draw arcs above and below the line to intersect each other

3) With the straight edge Draw a line passing through the intersections of the arcs drawn from A and B and extend the line to pass through the point C

The line constructed above is the perpendicular to the line l passing through the point C.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{84.5}}}}}[/tex]

Step-by-step explanation:

Given data :

89 , 74 , 100 , 86 , 74 , 67 , 86 , 72 , 60 , 93 , 83 , 86

Arranging the data in ascending order, we have,

60 , 67 , 72 , 74 , 74 ,83 , 86 , 86 , 86 , 89 , 93 , 100

Here, n ( total no.of observation ) = 12

Now, finding the position of media :

[tex] \boxed{ \sf{position \: of \: median = ( \frac{n + 1}{2} ) ^{th} \: item}}[/tex]

⇒[tex] \sf{ (\frac{12 + 1}{2} ) ^{th} item}[/tex]

⇒[tex] \sf{( \frac{13}{2} ) ^{th} item}[/tex]

⇒[tex] \sf{ {6.5}^{th} item}[/tex]

6.5 th item is the average of 6 th and 7 th items.

Again,

[tex] \sf{median = \frac{ {6}^{th \: item} + {7}^{th} item}{2} }[/tex]

⇒[tex] \sf{ \frac{83 + 86}{2} }[/tex]

⇒[tex] \sf{ \frac{169}{2} }[/tex]

⇒[tex] \sf{84.5}[/tex]

Hope I helped!

Best regards!!

Mean: $1.615

Median: $1.49

Mode: $1.49

Answer:

The solution of the system of equation in coordinate form is (2, 0)

Step-by-step explanation:

The given equation are;

2·x - y = 4....................(1)

5·x + 2·y = 10..............(2)

Multiplying equation (1) by 2 and subtract it from equation (2) gives;

5·x + 2·y - 2 × (2·x - y) = 10 - 2×4

5·x - 4·x + 2·y - 2·y = 2

x = 2

From equation (1), we have 2·x - y = 4, when x = 2, we get;

2×2 - y = 4

y = 2×2 -4 = 0

y = 0

Therefore;

The solution of the system of equation in coordinate form is (2, 0).