Write the augmented matrix for each system of equations.
7x-9y+ 3z = 6
- 2x - 6y + 10z = 3
-3x - 5y + 5z = -1​

Answer:

The answer is B, -4

Step-by-step explanation:

Subtract 4 on both sides

[tex]-8x=32\\[/tex]

Divide both sides by -8

[tex]x=-4[/tex]

Answer:

p=92.

Step-by-step explanation:

7p=644

/7     /7   -----> divide by 7 on both sides

_______

p=92

Hope this helps!

Answer:

Divide both sides of the equation by 7

The variable is 92

Step-by-step explanation:

The first number = x

The second number = 5 + 2x

80 = x + 5 + 2x

Let's combine like terms.

80 = 3x + 5

Subtract 5 from both sides.

75 = 3x

Divide both sides by 3

25 = x

The first number = 25

Let's plug 25 into x for our second number's equation.

The second number = 5 + 2(25) = 55

Answer:

x = first number

y = second number

1. y = 2x +5

2. x = x

3.  x + 2x + 5 = 80

4. 3x +5 = 80

5. 3x = 75  

x = 25

sub back in to steps 1 and 2:

x = 25

y = 2(25) + 5

y = 55

the first number is 25, and the second number is 55.

CHECK:

80 - 25 = 55

Step-by-step explanation:

1. define your variables

2. use the question to find what each number equals

3. set them equal to 80

4. combine like terms, divide, etc. (SOLVE)

5. sub back into defined variables.

6. check it by subtracting and adding

Answer:

12 inches is the maximum length for each cloth because 60,48 and 72 are all multiples of 12.

you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.

Step-by-step explanation:

Answer:

12 inches is the maximum length for each cloth because 60,48 and 72 are all multiples of 12.

you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.

Step-by-step explanation:

Answer:

B, D, E

Step-by-step explanation:

Just took test :D

A polygon refers to a flat or two-dimensional shape which is closed and has straight sides. A polygon doesn't curved sides.

From the options given, the true statements about polygons include:

• The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.

• If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.

• The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.

Therefore, the correct options are B, D and E.

You can read more on polygon here:

https://brainly.com/question/20863477

Answer:

Step-by-step explanation:

200 ; 2^3 x 5^2

Answer:

-7

Step-by-step explanation:

Answer:

-12+5=-7

this is similar to having a debt of $12 when you pay $5 when you pay $5 you are left with a debt of $7 so the answer is -7

Answer:

p > 0

Step-by-step explanation:

∫₂°° e^(-px) dx

= ∫₂°° (e⁻ᵖ)ˣ dx

This is a geometric series.

A geometric series a(r)ˣ converges if -1 < r < 1.

-1 < e⁻ᵖ < 1

Since e⁻ᵖ is always positive:

e⁻ᵖ < 1

-p < 0

p > 0

This question is incomplete, the complete question is;

Just how accurate are the weather forecasts we hear everyday? The table compares the daily forecast with a city's actual weather for a year.

FORECAST                     ACTUAL      

Forcast                           Rain             No Rain

Rain                                28                    63

No Rain                           7                     267

a) On what percent of days did it actually​ rain? 24.9​% ​(Round to one decimal place as​ needed.) ​

b) On what percent of days was rain​ predicted? nothing​% ​(Round to one decimal place as​ needed.) ​

c) What percent of the time was the forecast​ correct? nothing​% ​(Round to one decimal place as​ needed.)

Answer:

a) the percentage of days it actually rained =  9.6%

b) percentage of days rain was predicted =  24.9%

c) percentage of days forecast was correct =  80.8%

Step-by-step explanation:

First we get the total number of days;

28 + 63 + 7 + 267 = 365 days

a)

days it actually rained = ( 28 + 7 ) = 35

now the percentage of days it actually rained

35/365 × 100 = 9.58% ≈ 9.6%

b)

days rain was predicted = ( 28 + 63 ) = 91

now percentage of days rain was predicted

91/365 × 100 = 24.93% ≈ 24.9%

c)

days forecast was correct =  ( 28 + 267 ) = 295

now percentage of days forecast was correct

295/365 × 100 = 80.82% ≈ 80.8%

Answer:

Step-by-step explanation:

step one:

From the problem state, we can actually conclude that Jamie wants to share the half sheet of cake among her 6 friends

step two:

we can express this problem mathematically as

[tex]=\frac{1}{\frac{2}{6} }[/tex]

we can inverse the denominator and use a multiplication sign instead

[tex]\\\\= \frac{1}{2}*\frac{1}{6}[/tex]

multiplying both denominators we have

[tex]\\\\= \frac{1}{12}[/tex]

The answer is B 1/12

Answer:

267

Step-by-step explanation:

let's say that

f(0)=-25

so in the sequence we are adding 4

so f(1)=-25+4=-21

and f(2)=f(1)+4=-25+4+4=-25 + 4(2)

so if you continue you will notice that

f(n)=-25+4(n)

so our question is

What is the 74th term of this arithmetic sequence?

so if f(0) is our first term, the 74th will be f(73)

so we can apply our formula

f(73)=-25+4(73)

=-25+292

=267

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  value is   [tex]T = 51 \ inches [/tex]

Step-by-step explanation:

 From the diagram we can obtain the the height of T  as follows

      [tex]T = \frac{60 + 42 }{2}[/tex]

Answer:

51 inches

Step-by-step explanation:

By definition of midpoint, 42 through T + T through 60 is congruent to each other.

So, we can add 42+60 together to get the total distance. This is 102.

Next, we divide 102 by 2 because as mentioned since T is the midpoint, each "segment" is exactly 2 halves, they are congruent to each other.

102/2= 51 inches.

hope that helped :)

Answer:

The answer is x - 19.

Hope it helps

Answer:

x = 4

Step-by-step explanation:

1. Find the degree measure of the unknown angle:

90-68 = 22 degrees

2. Find the appropriate slope ratio:

22 degrees = 2/5

3. Redraw the right triangle on a coordinate plane with the right angle on the origin if you have trouble visualizing the next step.

4. 2/5 = rise/run = x/10

2/5 = x/10

x = 4

Answer:

125 is the value of the question

Hey there! I'm happy to help!

Let's call our number n. Here is the info we have.

(n/3)+6-7=4

We combine like terms.

(n/3)-1=4

We add 1 to both sides.

n/3=5

We multiply both sides by 3.

n=15.

Have a wonderful day! :D

Answer:

8x+2

Step-by-step explanation:

Answer:

[tex] \huge{ \fbox{ \sf{8x + 2}}}[/tex]

Step-by-step explanation:

[tex] \underline{ \underline{ \mathfrak{lets \: solve}}} : [/tex]

[tex] \star{ \: \sf{ \: 7x + x + 2}}[/tex]

[tex] \text{ Step \: 1} : \sf{ \: Add \: the \: like \: terms : 7x \: and \: x}[/tex]

[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] \hookrightarrow{ \sf{8x + 2}}[/tex]

Hope I helped!

Best regards!:D

~[tex] \sf{TheAnimeGirl}[/tex]

Answer:

[tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]

Step-by-step explanation:

Required

Represent set A using set-builder notation

First, we need to understand the general rule:

[tex]0^2 + 3 = 0 + 3 = 3[/tex]

[tex]1^2 + 3 = 1 + 3 = 4[/tex]

[tex]2^2 + 3 = 4 + 3 = 7[/tex]

[tex]5^2 + 3= 25 + 3 = 28[/tex]

-----

--

--

In general, we can write it as:

[tex]n^2 + 3[/tex]

Next, is to determine the values of n;

Since [tex]n^2[/tex] is a perfect square of [tex]n[/tex], then, the values of n is 0,1,2,3,.....

Hence; Set A can be represented as: [tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]

Answer:

the sales tax percent is therefore: 7.75%

Step-by-step explanation:

The sales tax she paid is $69.75, for a sofa whose sale price is $899.99.

Since $69.75 is the unknown (x) percent of $899.99, then we write this statement in math terms as:

69.75 = x * 899.99

solving for x we get:

x = 69.75 / 899.99

x = 0.0775

this is the decimal form of the percent, and in order to write it as percent, we multiply it by 100:

the sales tax percent is therefore: 7.75%

Hey there! I'm happy to help!

A proportional relationship is a straight line that passes through the origin, which is (0,0). If you look at Graph 3, it looks like the line is straight, but it does not look like it will pass through (0,0). Therefore, Graph 3 does not show a proportional relationship.

Graph 4, however, does look like straight line and it does look like it will pass through (0,0). Therefore, Graph 4 does show a proportional relationship.

Have a wonderful day! :D

Answer:

4)

Step-by-step explanation:

3)

this relationship isn't a proprtional relationship since it does't pass through (0,0)

')

this relationship is a proportional relation since it is a straight line that passes through (0,0)

If m = 7x + 7, m = 4y, and m = 112

since m = 112

112 = 7x + 7

112 - 7 = 7x

105= 7x

x = 15

112 = 4y

y = 28

Given that:

Total cost for three CD = $36

Number of CD = 3

To find:

The expression that will represent the cost of one CD.

Solution:

We know that formula, to find the cost of each unit.

[tex]\text{Cost of each unit }=\dfrac{\text{Total cost}}{\text{Number of units}}[/tex]

Using this formula, we get

[tex]\text{Cost of each CD}=\dfrac{\text{Total cost for three CD}}{\text{Number of CDs}}[/tex]

[tex]\text{Cost of each CD}=\dfrac{36}{3}[/tex]

The required expression for cost of one CD is [tex]\dfrac{36}{3}[/tex].

Therefore, the correct option is C.

Answer

its 36/3

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Let's simplify this by subtracting 5 from both sides:

3x = 15

Isolate x by dividing both sides by 3:

x = 5

Answer:

2 x 2 + 8 + 3 x 2 + 4x - 10

4 + 8 + 8 + 6 + 4x - 10

26 + 4x - 10

20 + 4x

The answer is 20 + 4x

Answer:

Step-by-step explanation:

Since there are 2 nickels for every quarter, we can group the coins into groups consisting of 1 quarter and 2 nickels. Such a group will be worth 35 cents. So, the number of groups in $8.75 is ...

  $8.75/$0.35 = 25

25 groups of coins will have ...

  25 quarters

  50 nickels

Answer:

m=-63 b=825

Step-by-step explanation:

To get m, make sure you use rise over run. y2-y1 over x2-x1

Answer:

m (slope) = -63

b (y-intercept) = 825

Step-by-step explanation:

I had the same question.  

Answer:

43,025,92

Step-by-step explanation:

Answer:

The answer to this question is 28 because -7 times 2 equals 14 times -2 equals 28

Answer:

[tex]Area = 4x^2 - 14x + 10[/tex]

Step-by-step explanation:

See Attachment for Complete Question

Given

[tex]Width = 5mi[/tex] --- For the forest

[tex]Length = 2mi[/tex] -- --- For the forest

Required

Determine the area of the habitat

Since the distance between the animal's habitat is x mi on both sides;

The length and width of the habitat is:

[tex]Width = 5 - (x + x)[/tex]

[tex]Width = 5 - 2x[/tex]

[tex]Height = 2 - (x +x)[/tex]

[tex]Height = 2 - 2x[/tex]

The area is then calculated as follows;

[tex]Area = Width * Height[/tex]

[tex]Area = (5 - 2x) * (2 - 2x)[/tex]

Expand

[tex]Area = 5(2 - 2x) -2x(2 - 2x)[/tex]

Open Brackets

[tex]Area = 10 - 10x - 4x + 4x^2[/tex]

[tex]Area = 10 - 14x + 4x^2[/tex]

Reorder

[tex]Area = 4x^2 - 14x + 10[/tex]

Hence; the required polynomial for the habitat area is:

[tex]Area = 4x^2 - 14x + 10[/tex]

Answer:

  7%

Step-by-step explanation:

The percentage increase is found as ...

  increase/original × 100%

  = (33170 -31000)/31000 × 100%

  = 2170/31000 × 100% = 7%

Sarah's increase would be 7%.