What’s is value of X

Answer:

2 in.

Step-by-step explanation:

If we cut squares from all 4 corners and make it into a open rectangular box, the length of the square cut will become the height of the rectangular prism.

If we cut 1 inch side square:

The 11 inch side will become 11 - 2(1) = 9 and 14 inch side will become 14 - 2(1) = 12. Height is 1. So Volume would be 9 * 12 * 1 = 108

If we cut 2 inch side square:

The 11 inch side will become 11 - 2(2) = 7 and 14 inch side will become 14 - 2(2) = 10. Height is 2. So Volume would be 7 * 10 * 2 = 140

If we cut 3 inch side square:

The 11 inch side will become 11 - 2(3) = 5 and 14 inch side will become 14 - 2(3) = 8. Height is 3. So Volume would be 5 * 8 * 3 = 120

If we cut 4 inch side square:

The 11 inch side will become 11 - 2(4) = 3 and 14 inch side will become 14 - 2(4) = 6. Height is 4. So Volume would be 3 * 6 * 4 = 72

Hence, the greatest volume is when we cut 2 inch side square.

The answer is 2in hope this helps

Answer:

Step-by-step explanation:

First, we'll arrange the number sequence from lowest to highest - 0,50,50,51,52,55,57,57,58,58,58,58,59,60,62,63,64,66,67,67.

Second, we'll find the median Q2 - (58+58) / 2 = 58

Third, we'll take the middle numbers before the median as our lower quartile Q1 - (52+55) / 2 = 53.5

Fourth, we'll take the middle numbers after the median as our upper quartile Q3 - (62+63) / 2 = 62.5

Answer:

1.8.10=1.80000000000

7.2.10=7.2000000000

Step-by-step explanation:

[tex]To find out how much 1.8 * 10^11 is greater than 7.2 * 10^10, you can subtract the two values:(1.8 * 10^11) - (7.2 * 10^10)To simplify this expression, you need to have the exponents match. You can do this by rewriting 7.2 * 10^10 as 0.72 * 10^11:(1.8 * 10^11) - (0.72 * 10^11)Now, subtract the coefficients:(1.8 - 0.72) * 10^11Calculate the subtraction:1.08 * 10^11So, 1.8 * 10^11 is 1.08 * 10^11 greater than 7.2 * 10^10[/tex]

Answer:

13

Step-by-step explanation:

Assuming g(x)=4x+1, then g(3) is 4(3)+1=12+1=13. So g(3)=13.

Answer:

(x + 7)² + (y + 3)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 7, - 3) and r = 2, so

(x - (- 7))² + (y - (- 3))² = 2², that is

(x + 7)² + (y + 3)² = 4

Answer:

See below

Step-by-step explanation:

Eleven

Remark

When you join the midpoints of two sides of a triangle, two properties are true.

For this question, the first property is not as important as the second.

it means that DE is 1/2 the size of GJ

Equation

4x + 5 = 1/2 * (3x + 25)

Solution

Multiply both sides by 2

2(4x + 5) = 2*[1/2*(3x + 25)       Simplify

2(4x + 5) = 3x + 25                   Remove the brackets on the left

8x + 10 = 3x + 25                      Subtract 3x from both sides

8x-3x + 10 = 25                         Subtract 10 from both sides.

5x = 25 - 10

5x = 15

x = 3 Answer

DE = 4*3 + 5

DE = 17 Answer  

Ten

I wasn't quite sure if you wanted this done.

Givens

MP is the perpendicular bisector of NL

That makes the triangle isosceles.

ML = MN

PL = PN                    

Solution

ML = MN

7x + 9 = 11x -7                Subtract 11x from both sides.

7x - 11x + 9 = 11x-11x-7

-4x + 9 = - 7                   Subtract 9 from both sides.

-4x + 9-9 = -7-9             Combine

-4x = - 16                        Divide by - 4

-4x/-4 = - 16/-4

x = 4

==============

PL = PN

2y + 2 = 16                     Subtract 2

2y + 2-2 = 16-2              Combine

2y = 14                           Divide by 2

2y/2 = 14/2                    Combine

y = 7

Point (a, -b) will be in the third quadrant, (-a, b) will be in the first quadrant, (-a, -b) will be in the fourth quadrant, and (b, a) will be in the fourth quadrant.

The original point (a, b) is in the second quadrant, which means the value of 'a' is negative and 'b' is positive. For the point (a, -b), the x-coordinate remains the same (negative) and the y-coordinate becomes negative, so this point will be in the

third quadrant

. For (-a, b), both the x and y coordinates change sign. The 'x' becomes positive and 'y' remains positive, landing this point in the

first quadrant

. For (-a, -b), both coordinates are positive, which puts this point in the

fourth quadrant

. Lastly, for (b, a), the 'x' coordinate is positive and 'y' coordinate is negative (since 'a' is negative), which means this point will be in the

fourth quadrant

as well.

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Points resulting from the transformation of (a, b) in the second quadrant lie in various quadrants based on their signs. (a, -b) is in the fourth quadrant, (-a, b) is in the third quadrant, and both (-a, -b) and (b, a) are in the first quadrant.

Given that point (a, b) is in the second quadrant, we need to determine the quadrants of the points (a, -b), (-a, b), (-a, -b), and (b, a).

To summarize, if the original point is in the second quadrant of the Cartesian coordinate system, the points (a, -b) is in the fourth quadrant, (-a, b) is in the third quadrant, (-a, -b) is in the first quadrant, and (b, a) is in the first quadrant as well.

He does not have enough money in his checking account

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]-2(x+3)=-10[/tex]          divide both sides by (-2)

[tex]\dfrac{-2(x+3)}{-2}=\dfrac{-10}{-2}[/tex]

[tex]x+3=5[/tex]            subtract 3 from both sides

[tex]x+3-3=5-3[/tex]

[tex]x=2[/tex]

Answer:

x = 2

Step-by-step explanation:

It is given an expression with variable x

-2(x + 3) = -10​

To find the steps to solving expression

Le expression be,

-2(x + 3) = -10​

-2x + (-2 * 3) = -10

-2x - 6 = -10

-2x = -10 + 6

-2x = -4

2x = 4

x = 4/2 = 2

Therefore x = 2

Answer:

well she can count up the average amount of tables, and the average amount of students in the school, later determine how many kids sit at the tables, for example, if there's five tables, and in each table there are five students, round those up and you have 25 students, only Amanda's answer would be much higher depending on the school and cafeteria

Answer:

16

Step-by-step explanation:

f (x)= -5x+1.

Let x = -3

f(-3) = -5(-3) +1

      =15 +1

     = 16

Answer:

f(- 3) = 16

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x)

f(- 3) = ( - 5 × - 3) + 1 = 15 + 1 = 16

Answer:=40

He needs 4 more games because 4*10

Step-by-step explanation:

Gustafo needs to score 16 more goals to reach 40 goals. Since he scores 4 goals per game on average, he will need 4 more games to reach his goal.

To determine the number of games Gustafo needs to reach at least 40 goals, we first have to find out how many goals he still needs to score. Right now, Gustafo has 24 goals. So, 40 (the total number of goals he needs) - 24 (the goals he already has) = 16 goals he still needs to score.

Since Gustafo scores an average of 4 goals per game, we then divide the number of goals he still needs to score by his average goals per game to find out how many games it will take. So, 16 (goals needed) ÷ 4 (average goals per game) = 4 games. Thus, Gustafo needs to play 4 more games to reach at least 40 goals before the season is over.

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Answer:

a) -2

b) 1/2

Step-by-step explanation:

2x + y = 15           Subtract 2x from both sides

y = -2x + 15           The slope is -2

Parallel lines have the same slope.

Perpendicular lines have negative inverse slopes.

-2    flips to 1/2

Answer:

12. 785.375 in^2

13. 20.666 in.

14. 9cm

Step-by-step explanation:

12. The surface area of a cylinder is given by the surface area of each end plus the surface area of the side:

Surface area = 2 π r^2 + 2 π r h

we know that r = diameter / 2 = 10in/2 = 5in

height = 20 in

Then:

Surface area = 2 π r^2 + 2 π r h =  2 π (5in)^2 + 2 π (5in) (20in) = 785.375 in^2

13. A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides. Then we have:

Area=2b+ph  

where:  

b= area of a base  = 6 in^2

p= perimeter of a base  = 18 in

h= height of the prism

Area = 384 sqrt units

Solving for "h" we have:

Area=2b+ph -> h = (area - 2b)/p = 20.666 in

Then: Area= 20.666 in.

14. We know that the surface area of a cylinder is:

Surface area = 2 π r^2 + 2 π r h

Solving for "h" we have:

h = (Surface area - 2 π r^2)/ 2 π r

Where r = 4cm

Surface area = 326.73 cm^2

h = (Surface area-2πr^2)/2πr=(326.73 cm^2-2π(4cm)^2)/2π(4cm) = 9cm

h =9cm

for mean you add every number and divide it by the amount of numbers in the data set

for median you put the numbers in order and find the middle number, if there is no middle get the mean for the two middle numbers

range is basically the lowest and highest number

Answer:

Mean= Average

Median= Middle number after numbers are lined up in order

Mode= Repeated Number

Step-by-step explanation:

ANSWER

The point (1,2) is not a solution

EXPLANATION

We could see that, the point (1,2) lies exactly on the boundary line.

Since the boundary line is dashed, the points on the boundary line are not solution.

Alternatively:

We deduce the inequality from the graph to be;

[tex]y < 3x - 1[/tex]

If the point (1,2) is a solution,then it must satisfy the inequality.

[tex]2 \: < \: 3(1) - 1[/tex]

[tex]2 \: < \: 2[/tex]

This statement is false.

Hence, the point (1,2) is not a solution.

Answer: Read the explanation

Step-by-step explanation: (27+32)^2 does NOT equal 45^2, which means its not a right triangle.

(9+40)^2 DOES equals 41^2. Therefor making it a right triangle

Answer:

27ft, 32ft, 45ft : Not a Right triangle

9ft, 40ft,41ft:      Right triangle

Step-by-step explanation:

45^2  (?)  27^2 + 32^2

2025 (?) 729 + 1024

2025 ≠ 1753; Not a Right triangle

41^2 (?) 9^2 + 40^2

1681 (?) = 81 + 1600

1681 = 1681 ; Right triangle

The coat costs $194 while the suit costs $97

To find out how much the coat costs when a suit and a coat together cost $291 and the coat costs twice as much as the suit, we use algebra to deduce that the suit costs $97 and the coat costs $194.

To solve the problem of determining how much the coat costs when the total cost of a coat and a suit is $291, and the coat costs twice as much as the suit, we can set up a system of equations. Let's define s as the cost of the suit and c as the cost of the coat. Following the given information, we have two equations:

Substituting the second equation into the first one gives us:

s + 2s = $291

Combining like terms, we get:

3s = $291

Dividing both sides by 3 to solve for s, we find:

s = $97

Now that we have the cost of the suit, we can use the second equation to find the cost of the coat:

c = 2s = 2 times $97 = $194

Therefore, the coat costs $194.

Answer:

500?

Step-by-step explaination

Wait don't you just add 200 and 300? Or is there some special equation for finding out gigabytes??

500 gigs.

Just add 200 + 300.

(I hope this question isn’t serious..)

Answer:

y=14

Step-by-step explanation:

y=2(10)-6

y=14

Answer:

the answer will be the letter W

Step-by-step explanation:

Answer:

W

Step-by-step explanation:

Think about folding the two triangles up in W. You can then fold the outermost rectangles up to form a triangular prism.

Also, notice that the folded figure has two blue triangles and no other picture has two blue triangles besides W.

The first equation

6x^2 -18x-24=0

-the graph opens up

6(x^2 -3x -4)=0

6(x^2 -3x +9/4-4-9/4)=0

6(x-3/2)-25x6/4=

6(x-3/2)-75/2

-Vertex is at (3/2, -75/2)

-Axis of symmetry is x=3/2

Second equation

3r^2 -16r -12=0

-the graph opens up

...

Answer:

[tex]\boxed{-2; 6}[/tex]

Step-by-step explanation:

Think of this as an ordinary addition problem.

What must you add to 3a³ to get 1a³?   Answer: add -2a³

3 + (-2) = 1

What must you add to -5b³ to get 1b³? Answer: add 6b³

-5  + 6 = 1

Then, the addition looks like this:

[tex]\begin{array}{rcr}3a^{3} & + & -5b^{3}\\\boxed{-2}a^{3} & + & \boxed{6}b^{3}\\a^{3} & + & b^{3\\\end{array}[/tex]

The numbers in the boxes are -2 and 6.

Answer:

The correct answer is option C.  6

Step-by-step explanation:

It is given that,  LMN congruent to triangle NOL by SSS

From the figure we can write, MN = LO

To find the value of x

we have, MN = LO

13x + 1 = 5x + 49

13x - 5x = 49 - 1

8x = 48

x = 48/8 = 6

Therefore x = 6

The correct answer is option C.  6

Answer:

The area of the hexagon is [tex]1,014\sqrt{3}\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The area of a regular hexagon is equal to

[tex]A=\frac{1}{2}Pa[/tex]

where

P is the perimeter

a is the apothem

Find the length side of the hexagon

Let

b-----> the length side of the hexagon

Remember that

The formula to calculate the length side given the apothem is equal to

[tex]b=\frac{2a}{\sqrt{3}}[/tex]

we have

[tex]a=13\sqrt{3}\ ft[/tex]

substitute

[tex]b=\frac{2(13\sqrt{3})}{\sqrt{3}}[/tex]

[tex]b=26\ ft[/tex]

Find the perimeter P

[tex]P=6b=6(26)=156\ ft[/tex]

Find the area of the hexagon

[tex]A=\frac{1}{2}(156)(13\sqrt{3})=1,014\sqrt{3}\ ft^{2}[/tex]

Answer:

m= -8-n/3-k

Step-by-step explanation:

Answer:

a=1

an= an-1 -7

Step-by-step explanation:

A= 1 the answer is A=1

Answer:

5 * (n+3) = 4

n = -11/5

Step-by-step explanation:

5 * (n+3) = 4

Distribute

5n +15 =4

Subtract 15 from each side

5n +15-15 = 4-15

5n = -11

Divide by5

5n/5 = -11/5

n = -11/5

Answer:

B. He would still need 51.50

Step-by-step explanation:

First I added up all the deposits Emilio made

so: 621.96+83.11+52.89+307.84=1065.8

then i subtract 129 from the total (1065.8)

which equals 936.8 and I add the 11.5 interest.

which equals 948.3 which is 51.70 less than 1000. Therefore, Emilio still need 51.70 in order to meet his saving accounts goal.

Answer:

8/15 square inches

Step-by-step explanation:

Just multiply the 2 fractions to get the area.

A=L*W

A=area

L=length

W=width