During the summer months the water level in Marthas pool decreases by about 1/2 inch each day due to evaporation which equation shows the approximate total change in inches to the water level in a pool after 30 summer days

The solutions for the the system of equations are given as x = 1 and  y = 2 respectively.

A system of linear equations is a group of equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given system of linear equations are as follows,

12x - 7y = -2          (1)

8x + 11y = 30​         (2)

In order to solve by elimination, multiply equation (1) by 2 and (2) by 3 and then subtract to obtain,

2(12x - 7y) - 3(8x + 11y) = 2 × -2 - 3 × 30  

=> -14y - 33y = -94

=> -47y = -94

=> y = 2

Substitute y = 2 in equation (1) to get,

12x - 7 × 2 = -2  

=> 12x = -2 + 14

=> x = 12/12 = 1

Hence, the given system of linear equations is solved by elimination to give x = 1 and  y = 2 respectively.

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The difference between the highest and lowest temperature is 85°F.

Answer: 139F

Step-by-step explanation: You take 112F, and add negative which is -27F and you get the difference.

Lets subtract 3 from each term we get 0,6...

Now we have muplitles of 6

6*0

6*1

Now we can find last number whcich is 6*33=198

now use formula to find sum

Hi there! :)

[tex]\huge\boxed{x = -2}[/tex]

m(x) = 4x + 15

Find the value of "x" that would satisfy m(x) = 7:

4x + 15 = 7

Subtract 15 from both sides:

4x = -8

Divide both sides by 4:

x = -2.

Answer:

I got 2.3

Step-by-step explanation:

line them up in order and count from the outside

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2.3}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \tt{ \: Given \: data}}[/tex] :

[tex] \sf{2.5 \: , \: 2.3 \: , \: 2.3 \: , \: 1.8 \: , \: 2.3 \: , \: 1.5}[/tex]

[tex] \star{ \sf{ \: Arranging \: the \: given \: data \: in \: ascending \: order}}[/tex] :

[tex] \sf{1.5 \: , \: 1.8 \: , \: 2.3 \: , \: 2.3 \: , \: 2.3 \: , \: 2.5}[/tex]

[tex] \star{ \sf{ \: n \: ( \: Total \: number \: of \: observation \: ) \: = \: 6}}[/tex]

Finding the position of median

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

[tex] \longmapsto{ \sf{position \: of \: median = ( \frac{6 + 1}{2} ) ^{th} item}}[/tex]

[tex] \longmapsto{ \sf{position \: of \: median \: = \: ( \frac{7}{2} ) ^{th} item}}[/tex]

[tex] \longmapsto {\sf{position \: of \: median = {3.5}^{th} item}}[/tex]

[tex] \sf{ {3.5}^{th} }[/tex] item is the average of 3rd and 4th items.

[tex] \sf{∴Median = \frac{ {3}^{rd} item + {4}^{th} item}{2} }[/tex]

[tex] \longmapsto{ \sf{median = \frac{2.3 + 2.3}{2}}} [/tex]

[tex] \longmapsto{ \sf{median = \frac{4.6}{2} }}[/tex]

[tex] \longmapsto{ \sf{median = 2.3}}[/tex]

∴ Median = 2.3

-------------------------------------------------------------

[tex] \star \: \underline{ \tt{Remember ! }}[/tex]

▪️If n is odd , the median is the value of the [tex] \sf{( \frac{n + 1}{2} ) ^{th} }[/tex] observation.

▪️If n is even, the median is the average of [tex] \sf{( \frac{n}{2} ) ^{th}} [/tex] and [tex] \sf{( \frac{n}{2} + 1) ^{th} }[/tex] observation.

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

5

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2[32-3^3]

2[32-27]

2×5

10

The solution set is r = (+4, -4) .

Angle LMN

Angle NML

Angle M

These are the only ways to name this angle

Answer:

Angle NML, LMN, and the angle created by rays MN and ML intersecting at point M.

Step-by-step explanation:

The first two ways are just the points in order. The third can be written in multiple ways but I believe this one is quite explanatory.

Answer:

work is pictured and shown

Answer:

your face

Step-by-step explanation:

:)

Let's let A, B, C represent the sides of the triangle from shortest to longest, then:

A = ?

B = A + 2

C = A + 3

To find the perimeter we add all the sides p = A + B + C, and based on the problem

p = A + B + C

26  = A + (A + 2) + (A+3)

26 = 3A + 5

21 = 3A

7 = A

Now we can use the fact that A = 7 in, which is the shortest side, to find all three sides:

A = 7

B = 7 + 2 = 9

C = 7 + 3 = 10

The lengths  of the sides are 7 in, 9 in, and 10 in.

May I get brainliest please? :)

Answer:

(2,2), (4,4), (6,6)

Step-by-step explanation:

2×1= 2

2×2 = 4

2×3 = 6

Answer:

2nd and 4th options are correct choices.

Step-by-step explanation:

From the incomplete picture given below, we have:

2nd = (2,2), (4,4), (6,6)

4th = (4,1), (8,2), (12,3)

Enjoy!

Answer: 59/125

Step-by-step explanation:

What is 47.2% as a fraction or mixed number in simplest form? 47.2% is 47.2/100 which is 472/1000 which is 59/125. 47.2% = 0.472 = 472/1000 = 59/125.

Answer:

10 times the value

Step-by-step explanation:

The value of 8 in the hundreds place (800) is 10 times the value of 8 in the tens place (80).

I figured this out by dividing 800 by 80 = 10.

(x - 3)(x + 5) + (x - 3)(2x - 1)

We can factor out (x - 3) since both terms have that in common. Then we simply add together x + 5 and 2x - 1

(x - 3)(3x + 4) is the final answer.

Answer:

60 percent

Step-by-step explanation:

so 50 is half of 100,right? so that means you can just multiply everything by 2 to make it easier. so then there are 100 students and 40 play basket ball. so that means 40 percent play basketball and that only leaves 60 remaining :)

Answer:

x = 8

Step-by-step explanation:

Solve for x:

6 x + 9 = 4 x + 25

Subtract 4 x from both sides:

(6 x - 4 x) + 9 = (4 x - 4 x) + 25

6 x - 4 x = 2 x:

2 x + 9 = (4 x - 4 x) + 25

4 x - 4 x = 0:

2 x + 9 = 25

Subtract 9 from both sides:

2 x + (9 - 9) = 25 - 9

9 - 9 = 0:

2 x = 25 - 9

25 - 9 = 16:

2 x = 16

Divide both sides of 2 x = 16 by 2:

(2 x)/2 = 16/2

2/2 = 1:

x = 16/2

The gcd of 16 and 2 is 2, so 16/2 = (2×8)/(2×1) = 2/2×8 = 8:

Answer: x = 8

Answer:

$702.53

Step-by-step explanation:

Start with Jose's initial balance.

[tex]178.74[/tex]

He wrote checks, so we have to subtract the total amount the checks were worth. Let's first add the three amounts.

[tex]36.52+18.92+25.93[/tex]

Solve.

[tex]81.37[/tex]

Subtract the total amount of the checks from Jose's initial balance.

[tex]178.74-81.37[/tex]

Solve.

[tex]97.37[/tex]

The amount above is now what is in Jose's checking account.

But, he also deposited money, meaning he put money in his checking account. Now, let's add the three amounts he deposited.

[tex]300.00+100.00+205.16[/tex]

Solve.

[tex]605.16[/tex]

The amount above is what Jose adds to his checking out.

Add the total value of the deposited money and his new balance.

[tex]605.16+97.37[/tex]

Solve.

[tex]605.16+97.37=702.53[/tex]

Answer:

2.39

Step-by-step explanation:

-3.09+X=-0.7

X=-0.7+3.09

X=2.39

Answer:

g = 20

Step-by-step explanation:

multiply both sides by 4 to get g = 20

Answer:

g=20

Step-by-step explanation:

multiply both sides by 4

Answer:

u can calculate yourself

Answer:

30

Step-by-step explanation:

This is the answer hope it helped

Answer:

The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is

[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].

Step-by-step explanation:

We present a representation of the specifications of the open box in a image attached below. The volume of the open box ([tex]V[/tex]), measured in cubic inches, is represented by this expression:

[tex]V = w\cdot h \cdot l[/tex]

Where:

[tex]w[/tex] - Width, measured in inches.

[tex]h[/tex] - Height, measured in inches.

[tex]l[/tex] - Length, measured in inches.

Polynomial functions in standard form are represented by the following form:

[tex]y = \Sigma_{i=0}^{n} c_{i}\cdot x^{i}[/tex]

Where:

[tex]n[/tex] - Order of the polynomial, dimensionless.

[tex]c_{i}[/tex] - i-th Coefficient, dimensionless.

[tex]x[/tex] - Indepedent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.  

If we get from figure that [tex]w = 12 - 2\cdot x[/tex], [tex]h = x[/tex] and [tex]l = 9 - 2\cdot x[/tex], then:

[tex]V = (12-2\cdot x) \cdot x \cdot (9-2\cdot x)[/tex]

[tex]V = (12\cdot x -2\cdot x^{2})\cdot (9-2\cdot x)[/tex]

[tex]V = 108\cdot x-18\cdot x^{2}-24\cdot x^{2}+4\cdot x^{3}[/tex]

[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex]

The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is

[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].

The volume of a box is the amount of space the box can occupy.

The polynomial function is: [tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

The dimension of the cardboard is given as:

[tex]\mathbf{Length = 12}[/tex]

[tex]\mathbf{Width = 9}[/tex]

Assume the size removed from the box is x

The dimension of the box becomes

[tex]\mathbf{Length = 12 -2x}[/tex]

[tex]\mathbf{Width = 9 -2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

So, the volume (V) of the box is:

[tex]\mathbf{V = Length \times Width \times Height}[/tex]

Substitute known values

[tex]\mathbf{V = (12 -2x) \times (9 - 2x) \times x}[/tex]

Open brackets

[tex]\mathbf{V = (12 -2x) \times (9x - 2x^2)}[/tex]

Open brackets

[tex]\mathbf{V = 108x -24x^2 - 18x^2 + 4x^3}[/tex]

[tex]\mathbf{V = 108x -42x^2 + 4x^3}[/tex]

Rewrite as:

[tex]\mathbf{V = 4x^3 -42x^2 + 108x }[/tex]

Express as a function

[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

Hence, the polynomial function is:

[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]

Read more about volumes and functions at:

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Answer: What is the volume of a book when the length is 42 cm, the width is 12 cm and the height is 4 cm?  2016 (length x width x height)

What is the mass of a rock if the volume is 54 ml and the density is 3.2 g/ml?  172.8 (when finding the mass you always multiply the volume and density so 54ml x 3.2 g/ml = 172.8)

What is the density of a block of wood that has a mass of 38 g and a volume of 19 cm3?  2cm3 (38g/19cm3=2cm3

What is the density of a box if the mass is 160 g and the volume is 12 ml?  13.3 (160/12=13.3)

What is the volume of a shark’s tooth when you start with 75 ml of water in a graduated cylinder and when the shark’s tooth is placed in the water, the water level rises to 90 ml? (use water displacement) 15 (If you measure the amount the water level increases, you can find the volume of the water pushed out of the way.)

The mass of a pencil is 8 g and the density is 1.24 g/ cm3. What is the volume of the pencil? 6.45cm3  (8/1.24/cm3=6.45

Step-by-step explanation:

The area of the triangular yard is 7000 ft².

The entire area enclosed by three sides of a triangle is the area of it.

Given,

The base of the triangle is 200 feet and the height of the triangle is 70 feet.

Therefore, the area of the triangle

= (1/2) × base of the triangle × height of the triangle =  (1/2) × 200 × 70 ft² = 7000 ft².

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Answer: {(-6, -6), (-2,-2), (7,-6),(-5,0)}

Step-by-step explanation:

To find the ordered pairs that represent a function, we want to find one that doesn't have multiple outputs for one input.

{(-6, -6), (-2,-2), (7,-6),(-5,0)} is the correct answer because all the x are different, and have only one output.

Answer:

no

Step-by-step explanation:

u r a n00b hahahahahahahahahahahahahaahahhaahahahahahahahahahahahahahahahahahahhahahau suk balz hhahahahahahahahahahahahahahaha

Answer:

m=3

Step-by-step explanation:

slope=m=y2-y1/x2-x1

(29,97),(18,64) for given points

m=64-97/18-29 ⇒ m=-33/-11

m=3

b): 97/29 ,64/18,-14/-8, 52/14,-71/-27

m=-14-64/-8-18

m=-78/-26

m=52+14/14+8

m=66/22