Calculate the area of this section of floor in square feet.

Answer:

given

n=9

a=1

d=3-1=2

Step-by-step explanation:

now , by formula,

sn = n/2(2a+(n-1)d)

= 9/2(2×1+(9-1)×2)

=9/2×18

=81

Answer:

18 and 2

Step-by-step explanation:

18-2=16

18+2=20

Hi ;-)

[tex]\{x-y=16\\+\{x+y=20\\--------\\2x = 36 \ \ /:2\\\boxed{x=18}\\18+y=20 \ \ /-18\\\boxed{y=2}[/tex]

These numbers are 18 and 2.

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

The correct notation will be A∪B and it can be read as A union B

In the given Venn diagram we can deduce the following;

The shaded region in the Venn diagram includes all the elements in set A and all the elements in set B.

Thus, the correct notation will be A∪B and it can be read as A union B.

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A Venn Diagram is a diagram used to define sets.

Here we will find that the notation of the shaded region is: A ∪ B

To know this, we need to define all of the notations in the options:

So with these general notations, is easy to conclude that if we have shaded sets A and B completely, then we have the set: A ∪ B

The correct option is C.

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Answer:

the square of a positive number is always positive

Answer:

CD and BE

BC and DE

...........

Add the two fractions together but first rewrite the fractions with a common denominator.

4/15 = 8/30

3/10 = 9/30

8/30 + 9/30 = 17/30

Answer: 17/30

The fraction is 17/30.

fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

For example.

The following figure shows a pizza that is divided into 8 equal parts. Now, if we want to express one selected part of the pizza, we can express it as 1/8 which shows that out of 8 equal parts, we are referring to 1 part.

Given:

4/15 of the candies in a bag of Skittles are red

3/10 are yellow

So, make the denominator of both fraction same by LCM

4/15 = 8/30

3/10 = 9/30

Now,

8/30 + 9/30 = 17/30

Hence, the fraction is 17/30.

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#SPJ2

Answer:

-49

Step-by-step explanation:

Substitute the a for -5

2(-5)+6(-5)-9

Multiply:

-10+-30-9

Add:

-40-9

Subtract (Add negatives):

-49

Hi there!  

»»————-　★　————-««

I believe your answer is:  

-14

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Assuming that the expression is: } a^2 + 6a -9[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating...}}\\\\a^2+6a - 9\\-----------\\(-5)^2 + 6(-5) - 9\\\\\rightarrow (-5)^2 = 25\\\\\rightarrow 6 * -5 = -30\\\\25 - 30 - 9\\\\\rightarrow \boxed{-14}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

9514 1404 393

Answer:

  2

Step-by-step explanation:

The graphs have two (2) points of intersection. Each point of intersection is a solution to the system of equations. The coordinates of that point satisfy both equations simultaneously.

There are 2 solutions to the graphed system of equations.

Step-by-step explanation:

y-y1=slope (x-x1)

where x1=-6,y1=2 and slope=3÷2

y-2=3÷2{x-(-6)}

y-2=3÷2(x+6)

y-2=(3x+18)÷2 cross multiply

2y-4=3x+18 collect like terms

2y=3x+18+4

2y=3x+22....ans

Answer:

$91.68

Step-by-step explanation:

$3.82 × 24 = $91.68

Answer: $91.68

Step-by-step explanation:

Given information

Hourly rate = $3.82

Hours = 24

Given expression deducted from the given information

Total earning = Hours × Hourly rate

Substitute values into the expression

Total earning = (24) × (3.82)

Simplify by multiplication

Total earning = $91.68

Hope this helps!! :)

Please let me know if you have any questions

Answer:

C

Step-by-step explanation:

because when you reflect it the figure A on the y-axis, it looks the same as A*, and when you move it 5 units down both figures are at the same place, showing that the shapes are congruent.

Answer:

Step-by-step explanation:

This is a handy thing to know how to do.

83 = 80 + 3

7*(80 + 3)

560 + 21

581

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

Explanation:

x = some positive whole number

2x = amount Helen baked initially

5x = amount Rebecca baked initially

Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.

So (2x)/(5x) = 2/5

Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,

(amount Helen bakes)/(amount Rebecca bakes) = 1/2

(2x+12)/(5x) = 1/2

2(2x+12) = 5x*1 .... cross multiply

4x+24 = 5x

24 = 5x-4x

24 = x

x = 24

From here, we then can say,

Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.

Furthermore, note how

This helps confirm we have the correct answer.

Answer: I dont know

Step-by-step explanation:

Answer:

x= -y+1

y=2x+z−1

z=−x−2y+ 8 /3

Step-by-step explanation:

I honestly entered it into a algebra calculator which gave me the steps.

Answer:

Presumably the "others time" is the quantity [tex]a[/tex], which is 28.81

Step-by-step explanation:

Let's solve for [tex]a[/tex] from

[tex]38.4-a=9.59[/tex]

Adding [tex]a[/tex] gives

[tex]a+9.59=38.4[/tex]

Then subtracting 9.59 gives

[tex]a=38.4-9.59=28.81[/tex]

9514 1404 393

Answer:

  1 +i√3.5

Step-by-step explanation:

In vertex form, the equation is ...

  2(x² -2x +1) +7 = 0

  2(x -1)² +7 = 0

Then the solutions are ...

  (x -1)² = -7/2

  x = 1 ±i√3.5

One solution is 1+i√3.5.

Answer:

9000 m

Step-by-step explanation:

One: Note that the answer is supposed to be in meters. It's easier if we just convert the 12 kilometers to meters now so we dont' have to worry about it later. 1 kilometer is 1,000 meters, so all we need to do is add three zeros to the end to make it meters:

12km=12,000m

Two: 1/4 means to divide by 4: 12,000/4= 3,000.

Three: The question is asking how much is LEFT. So we would do 12,000-3,000, which is 9000.

Answer:

35 is the answer

Step-by-step explanation:

Answer:

- 5°F

Step-by-step explanation:

- 3°F - 2°F

(-3) - 2

-5

- 5°F

Answer:

Rounding means making a number simpler but keeping its value close to what it was.

Step-by-step explanation:

Example: 73 rounded to the nearest ten is 70, because 73 is closer to 70 than to 80. ... But 76 goes up to 80.

Answer:

No.

Step-by-step explanation:

No because it can be written as a fraction, 6606/10

Answer:

1936

Step-by-step

[tex][15 - (1 - 6 + 21 + \sqrt{9} )] ^{2}[/tex]

use BIDMAS

(1 - 6 + 21 + [tex]\sqrt{9}[/tex]) = (1 - 6 + 21 + 3) = (1 - 30) = -29

[15 - -29] = [15 + 29] because two minuses together make a plus

[tex]44^{2}[/tex] = 1936

Answer:

6.25 or 6 2/8 or 6 R2

Step-by-step explanation:

Answer:

None?

Step-by-step explanation:

A system of equations only has a unique solution if all the equations are linearly independent (this means that we have two or more equations representing the same curve).

Here we have the system:

a*x + 2*y + 4*z = b

2*x + y + 3*z = a + 1

5*x - 2*y + (a + 1)*z = 3

Now we want to show that if a = -5 or a = 2, then the system does not have a unique solution.

To see this, we can just replace a by these values and see that the equations are not linearly independent.

for a = 2 we get:

2*x + 2*y + 4*z = b

2*x + y + 3*z = 2 + 1

5*x - 2*y + (2 + 1)*z = 3

Simplifying this:

2*x + 2*y + 4*z = b

2*x + y + 3*z = 3

5*x - 2*y + 3*z = 3

From the second and third equation we can write:

2*x + y + 3*z = 3 = 5*x - 2*y + 3*z

2*x + y + 3*z = 5*x - 2*y + 3*z

2*x + y = 5*x - 2*y

3*y = 3*x

y = x

now that we know this, we can rewrite the equations as:

4*(x + z) = b

3*(x + z) = 3

Now we can take the quotient of the two equations to get:

(4*(x + z))/3*(x + z) = (4/3) = b/3

b = 4

Then the equations become:

4*(x + z) = 4

3*(x + z) = 3

Here we can divide te above one by 4 and the below one by 3 to get:

(x + z) = 1

(x + z) = 1

So both equations represent the same line, thus, the system does not have a unique solution.

Now for a = -5:

-5*x + 2*y + 4*z = b

2*x + y + 3*z = -5 + 1

5*x - 2*y + (-5 + 1)*z = 3

Simplify it:

-5*x + 2*y + 4*z = b

2*x + y + 3*z = -4

5*x - 2*y  - 4*z = 3

Now we can rewrite the first equation as:

-5*x +2*y - b = -4*z

and the third one as:

-4*z = 3 - 5*x + 2*y

Then we can write:

-5*x +2*y - b = -4*z = 3 - 5*x + 2*y

-5*x +2*y - b = 3 - 5*x + 2*y

Now we can remove the -5*x in both sides to get:

+2*y - b = 3 + 2*y

Now we can remove the 2*y in both sides to get:

-b = 3

b = -3

Replacing this in our system we get:

-5*x + 2*y + 4*z = -3

2*x + y + 3*z = -4

5*x - 2*y  -4*z = 3

Now we can multiply the first equation by -1:

-1*(-5*x + 2*y + 4*z)= -1*(-3)

5*x - 2*y - 4*z = 3

This is the same as the third equation, so here we can see that the first and third equations represent the same line, thus, the system of equations does not have a unique solution.

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Answer:

Which describes the relationship between the distance and the difference? The distance is always the opposite of the difference. ... The distance is the absolute value of the difference.

This is the same as showing the following system of equations doesn't have a solution:

[tex]\begin{cases}-2c_1-3c_2+c_3 = 0 \\ 9c_1 + 2c_2 + 7c_3 = 5 \\ 6c_1 + c_2 + 5c_3 = 4\end{cases}[/tex]

or in matrix form,

[tex]\begin{bmatrix}-2&9&6\\-3&2&1\\1&7&5\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\end{bmatrix} = \begin{bmatrix}0\\5\\4\end{bmatrix}[/tex]

The quickest way to check if there is a solution is to check whether the coefficient matrix is invertible. If its determinant is 0, then it is not invertible.

And the quickest way to show that the determinant is 0 is by observing that the third row is a linear combination of the first two rows:

(-2, 9, 6) - (-3, 2, 1) = (-2 + 3, 9 - 2, 6 - 1) = (1, 7, 5)

So there are indeed no such scalars c₁, c₂, and c₃.

Answer:

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.