WORTH 20 POINTS!!

Zoe is starting her own snow plowing business. Zoey thinks she will do a better job than her competitors, so she thinks she can charge $11 per hour. If she knows she will only be able to work 40.25 hours per week, how much money will she earn each week?​

Answers

Answer 1

Answer: 442.75

Step-by-step explanation:

40.25 * 11 = 442.75

Answer 2
She will earn $442.75 as u have to do 11 x 40.25 to get the total hours per week.

Hope this helps!

Related Questions

in an experiment to learn whether substance m can help restore memory, the brains of 20 rats were treated to damage their memories. first, the rats were trained to run a maze. after a day, 10 rats (determined at random) were given substance m and 7 of them succeeded in the maze. only 2 of the 10 control rats were successful. the two-sample z test for the difference in the true proportions. Gives z= 2.25, P< 0.02

Answers

The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.

This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).

In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.

Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

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What’s the correct answer for this?

Whats the correct answer for this?

Answers

Answer:

B.

Step-by-step explanation:

First angle 1 and 2 add up to 180 and then angle 2 and 3 also add up to 180. So angle 2 is common hence both are congruent to each other.

Please help!!!!!!!!!!!

Please help!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  m∠STU = 42°

Step-by-step explanation:

We need a relation between angle RTS and angle RTU. We are told that RS is congruent to RU, and we know RT is congruent to itself, so we can claim right triangles RUT and RST are congruent by the HL postulate.

Corresponding angles in congruent triangles are congruent. This means ...

  angle RTS = angle RTU

  5w -69° = w +3°

  4w = 72° . . . . . . . . . add 69°-w to both sides

  w = 18°

Then angle RTU is w+3° = 18° +3° = 21°. The angle we're to find is angle STU, which is double this measure: angle STU = angle RTS + angle RTU = 21° +21°.

  m∠STU = 42°

video games six hours every weekend. he also plays 2 hours each day of the week. how many hours does mr.danie spend playing video games over 3 weeks

Answers

Answer:66 hours of video games in three weeks!

Step-by-step explanation:First you would multiply 6 by 2 because the weekend refers to Saturday and Sunday which are two days,when you multiply 6 by 2 you get 12.Next you would multiply 2 by 5 because the problem says  2 hours each day of the week,when you multiply 2 by 5 you get 10.Then you add 10 and 12 which gets you to 22.Last but not least you multiply 22 by 3 because the question says  how many hours does mr.danie spend playing video games over 3 weeks,which bring you to 66!

I hope I helped!

A borrower wants to take a loan with a maximum effective monthly rate of 1%. What is the maximum APR with quarterly compounding that the borrower will accept from a lender?

Answers

The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

How to calculate APR?

To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:

\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)

Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:

\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)

APR = (1.0100333³ - 1) x 4

APR = 0.04033 x 4

APR = 0.16132 or 16.132%

Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

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Question
A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a red card is
drawn at least once by the third draw. Round your answer to two decimal places.
Provide your answer below:

Answers

The probability that a red card is drawn at least once by the third draw is 0.88.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.

In a standard 52 card deck the red cards are 26.

So,

P(red) =  n(red cards) / n(total cards)

          = 26 / 52

P(red) = 0.50

Now, X ≈ Bin (n = 3, P = 0.50)

P(X = x) = (n  x) p^x (1 - p)^n-x

(n  x) = \(\frac{n!}{x!(n-x)!}\)

P(X ≥ 1) = 1 - P(X < 1)

            = 1 - P(X = 0)

            = 1- (3  0)(0.5)^0(0.5)^3

            = 1 - 0.125

             = 0.875

P(X ≥ 1)  = 0.88

Hence, the probability that a red card is drawn at least once by the third draw is 0.88.

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Phyllis invested $11,000, a portion earning a simple interest rate of
2 1/2% per year and the rest earning a rate of 2% per year. After one year the total interest earned on these investments was $255.00. How much money did she invest at each rate?

Answers

She invest money at each rate

First = 1000

Second = 10,000

What is simple interest?

Simple interest is a method of calculating the interest charge. The interest can be calculated as the product of principal amount, rate and time peroid.

We are given that Phyllis invested $11,000, a portion earning a simple interest rate of 2 1/2% per year and the rest earning a rate of 2% per year.

Given the following :

Amount invested = $11,000

A portion earns 2 and 1/2 % interest per year

The rest earns a rate of 2% per year

The Total Interst earned after a year = $255

Amount invested at each rate;

Let amount invested at 2 1/2% = a

Amount invested at 2% is; 11,000 - a

Simple interest = principal x rate x time

First investment :

a x 5/2% x  1

Second :

(11000 - a) x 2%

Firat investment + second = $225

a x 0.025 + (11000 - a) x 0.02 = 225

0.025a + 220 - 0.02a = 225

0.005a = 225 - 220

0.005a = 5

a = 5 / 0.005

a = 1000

Amount in first investment = 1000

Second investment = 11000 - 1000 = 10,000

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HELP PLSZZZZSZZZZZZZZZZ need asap

HELP PLSZZZZSZZZZZZZZZZ need asap

Answers

Answer:

60 (C)

Step-by-step explanation:

65+55=120

180-120=60

if the system of linear equations above has no solutions and a is constant then what is the value of a

Answers

The value of x is 6.

What is system of linear equations?

A collection of one or more linear equations involving the same variables is known as a system of linear equations in mathematics. For instance, the system of three equations 3x + 2y - z = 1, 2x - 2y + 4z = -2, -x + y - z = 0 has the three variables x, y, and z.

A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.

Graphically, a system of linear equations that has no solution indicates two parallel lines-that is, two lines that have the same slope but different y-intercepts.

To have the same slope, the x-and y-coefficient must be the same.

To get from -2/3 to -8 you multiply by 12, so multiply  -1/2x by 12 as well to yield 6x.

Because the other x-coefficient is a, it must be that a = 6  and (D) is correct.

Note that, even though it is more work, you could also write each equation in slope-intercept form and set the slopes equal to each other to solve for a.

Hence, the value of x is 6.

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what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5

Answers

SolutioN:-

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

Answer:- D) n = ⅕ ✅

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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What is the x-coordinate in the solution of the system of equations y =
=-
I and 42
9y= -402

What is the x-coordinate in the solution of the system of equations y ==-I and 429y= -402

Answers

It’s simple really, the answer is x = -4

y = -2/3x

So we plug in y = -2/3x for the value of y in the equation we need to solve.

4x - 9(-2/3x) = -40 (9 • -2/3x = -6x)

4x - (-6x) = -40 Multiply together

4x + 6x = -40 Combine like terms

10x = -40 Isolate x

x = -4




a bottle of soft drinks costs $2. the commission paid on one bottle is 2% of the cost price.find the commission on 24 bottles of soft drinks​

Answers

Answer:

$0.96

Step-by-step explanation:

First, find the cost of the 24 bottles, by multiplying 24 by 2

24(2)

= 48

Find the commission by finding 2% of 48

48(0.02)

= 0.96

So, the commission will be $0.96

The commission on 24 bottles of soft drinks​ is $0.96.

How to find the commission on 24 bottles of soft drinks​?

Given:

a bottle of soft drinks costs $2. the commission paid on one bottle stands at 2% of the cost price.

First, we want to estimate the cost of the 24 bottles, by multiplying 24

by 2

\(= 24*(2)\)

= 48

To find the commission by estimating 2% of 48

commission = 48*(0.02)

commission = 0.96

So, the commission will be $0.96.

Therefore, the commission on 24 bottles of soft drinks​ is $0.96.

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Distributive property
11(12+u)

Answers

       \(\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}\)

       Simplify 11(12+u)

       \(\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}\)

    \(\bigstar\) To simplify this expression, Multiply 11 (the number outside the parentheses) by every term

     inside the parentheses, as follows:-

   \(\text{$(11\times12)+(11\times u)$}\)

   Simplifying,

    \(\text{132+11u}\)

  \(\Uparrow\textsf{Our simplified expression (with the help of the distributive property)}\)

 Please note that we cannot simplify this any further, because \(\textbf{132 and 11u are not like terms.}\)

Good luck with your studies.

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\(\rule{300}{1}\)      

Hey there!


11(12 + u)

= 11(12 + 1u)

DISTRIBUTE 11 WITHIN the PARENTHESES

= 11(12) + 11(1u)

= 11(12) + 11(u)

= 132 + 11u

= 11u + 132


Therefore, the answer should be:

11u + 132


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Need the answer for all of them

Need the answer for all of them

Answers

It’s really easy, just do it ur self. Or use photo math!

What part of an hour passes from 3:12 p.m. to 5:30 p.m.?

Answers

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

boat costs $54,000. you pay 10% down and amortize the rest with equal monthly payments over a 15 year period. If you must pay 4.5 % comounded monthly, what is your monthly payment?

Answers

3385.8

Step-by-step explanation:

I dont understand this question

I dont understand this question

Answers

I’m not 100% sure that my answer is correct but if I’m not wrong, it would be 9 because you’re supposed to take the measurement of Q’N’ which is 12 and multiply it by 3/4.

. Where is the vertex of the graph that represents y=(x−2)2−8 ? Type the answers in the boxes below. ( , ) b. Where is the y -intercept? Type the answers in the boxes below.

Answers

The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

Given equation :

y=(x−2)2−8

y = 2x - 4 - 8

= 2x - 12

The final equation is y = 2x - 12.

Compare this equation with slope and y-intercept formula :

y = mx+c

So that c = -12

The value of y-intercept according to the solution is -12.

To find the vertex. Let's assume x=0; Substitute in the equation

y = 2(0) -12

y = -12

The first vertex will be (0, -12)

If x = 1; y = 2(1) -12

y = -10

Then the second vertex will be (1, -10).

Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

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in a city, there are 8 and 3 private swimming pools. on weekends, 5 of the pool are open. Brendan says that the ratio of pools open on weekends to the total number of pools is 5:8. Cyndi says the ratio of pools open on weekends to the total of pools is 5:16 is either student correct .?

in a city, there are 8 and 3 private swimming pools. on weekends, 5 of the pool are open. Brendan says
in a city, there are 8 and 3 private swimming pools. on weekends, 5 of the pool are open. Brendan says
in a city, there are 8 and 3 private swimming pools. on weekends, 5 of the pool are open. Brendan says
in a city, there are 8 and 3 private swimming pools. on weekends, 5 of the pool are open. Brendan says
in a city, there are 8 and 3 private swimming pools. on weekends, 5 of the pool are open. Brendan says

Answers

Answer:

"5", "11", I believe that the answer for the middle option is "neither" or a synonym of that, "5", "11"

Step-by-step explanation:

The text says that there are only 5 pools open on the weekend.

There are a total of 11 pools (8+3).

Both said an incorrect number of total pools, so both are wrong.

The ratio is the number of pools open divided by the number of total pools, or 5/11.

based on the graph how many tiles are im figure 0

based on the graph how many tiles are im figure 0

Answers

For figure {0}, the number of tiles will be equal to 2.

What is a mathematical function, equation and expression?          

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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How many solutions are there in the following system of equations? (
one solution, no solutions, infinitely many solutions)
- 8x + 2y = -16
4x - y = 10 PLEASW HELP

How many solutions are there in the following system of equations? (one solution, no solutions, infinitely

Answers

Answer:

No solutions

Step-by-step explanation:

-8x+2y = -16

   4x-y  = 10 [multiply by 2 so it is easier to add/subtract]

-8x+2y = -16

8x -2y = 20

        0 = 4

0 and 4 cant be equal so theres no solution

A square city block has a side length of 563 yards what is the perimeter of the block
Block

Answers

Answer:

The perimeter is 2252 yards.

Step-by-step explanation:

In a square all sides are equal.

Side = 563 yards

Perimeter = 563 x 4 = 2252 yards.

A square city block has a side length of 563 yards then the perimeter of the block is  2252 yards.

What is a perimeter?

Whether it be a two-dimensional shape or a one-dimensional length, a perimeter is a closed path that contains, surrounds, or delineates it. A circle's or an ellipse's circumference is its furthest boundary. There are various useful situations where knowing the perimeter is useful.

The whole length of a shape's boundary is referred to in geometry as the perimeter of the shape. By multiplying the lengths of all the sides and edges that surround an object, the perimeter may be calculated. It is measured in measures of length that are linear, such as centimeters, meters, inches, or feet.

As all sides in a square are equal and for calculating the perimeter this side will be multiplied by 4.

Perimeter = 563 x 4 = 2252 yards.

Therefore, the perimeter of the block is  2252 yards.

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ANSWER CORRECT FOR BRAINLIEST - 10 POINTS

Which step in the software development life cycle analyzes the scope of work?

Coding
Design
Planning & Analysis
Testing

Answers

I could be wrong but I’m pretty sure the analysis stage
Analysis im pretty sure

Arianys is going to invest $11,000 and leave it in an account for 9
years. Assuming the interest is compounded monthly, what interest
rate, to the nearest hundredth of a percent, would be required in order
for Arianys to end up with $20,000?

Answers

The compound interest rate of the investment is 1.10%

How to determine the compound interest rate?

The given parameters about the compound interest are

Principal, P = $11,000

Amount, A = $20,000

Time, t = 9

Number of times, n = 12 i.e. monthly interest

To calculate the amount, we have:

A = P(1 + R/n)^nt

Substitute the known values in the above equation, so, we have the following representation

20000 = 11000 * (1 + r/12)^(12 * 9)

This gives

1.82 = (1 + r/12)^108

Take the 108th root of both sides

1 + r/2 = 1.0055

Subtract 1 from both sides

r/2 = 0.0055

Multiply by 2

r = 0.011

Express as percentage

r = 1.10%

Hence, the value of the interest rate is 1.10%

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Answer:

6.66%

Step-by-step explanation:

Compounded Monthly:

=

(

1

+

)

A=P(1+

n

r

)

nt

Compound interest formula

=

20000

=

11000

=

9

=

12

A=20000P=11000t=9n=12

Given values

20000

=

20000=

11000

(

1

+

12

)

12

(

9

)

11000(1+

12

r

)

12(9)

Plug in values

20000

=

20000=

11000

(

1

+

12

)

108

11000(1+

12

r

)

108

Multiply

20000

11000

=

11000

20000

=

11000

(

1

+

12

)

108

11000

11000

11000(1+

12

r

)

108

Divide by 11000

1.8181818

=

1.8181818=

(

1

+

12

)

108

(1+

12

r

)

108

(

1.8181818

)

1

/

108

=

(1.8181818)

1/108

=

[

(

1

+

12

)

108

]

1

/

108

[(1+

12

r

)

108

]

1/108

Raise both sides to 1/108 power

1.0055509

=

1.0055509=

1

+

12

1+

12

r

1

−1=

1

−1

Subtract 1

0.0055509

=

0.0055509=

12

12

r

12

(

0.0055509

)

=

12(0.0055509)=

(

12

)

12

(

12

r

)12

Multiply by 12

0.0666108

=

0.0666108=

r

6.66108

%

=

6.66108%=

r

Convert to percent (multiply by 100)

r≈

6.66

%

6.66%

Round to the nearest hundredth of a percent

can u pls help me with this question ​

can u pls help me with this question

Answers

Answer:

I cannot see the whole thing

Answer:

Its easy. What grade are you in?

Step-by-step explanation:

A distributor needs to blend a mix of Gualtemala Antigua coffee that normally sells for $8.50 per pound with a Rift Valley coffee that normally sells for $12.50 per pound to create 70 pounds of a coffee that can sell for $10.56 per pound. How many pounds of each kind of coffee should they mix?


A) Write an equation using the information as it is given above that can be solved to answer the question.
Use x as your variable to represent the quantity of Gualtemala Antigua coffee.
Equation: ____________________________________________________

B) (Round your answers to the nearest whole number of pounds.)
Answer: They must mix
___pounds of the Gualtemala Antigua coffee.
___pounds of the Rift Valley coffee.

Answers

9514 1404 393

Answer:

x+y=70; 8.50x+12.50y=10.56(70)36 pounds Antigua34 pounds Rift

Step-by-step explanation:

At the insistence of the problem author, we will let x represent pounds of Antigua coffee and y represent pounds of Rift coffee. Then we have ...

  x + y = 70

  8.50x +12.50y = 10.56(70) . . . . . total cost of the mix

__

We like to use the variable to represent the high-cost contributor. Here, that is y, so we'll substitute for x:

  x = 70-y

  8.50(70 -y) +12.50y = 10.56(70)

__

  595 +4y = 739.2 . . . . . . . . . . . . . . simplify

  4y = 144.2 . . . . . . . . . . . subtract 595

  y = 36.05 . . . . . . . divide by 4

  x = 70 -36.05 = 33.95

About 36 pounds of Rift Valley coffee and 34 pounds of Gualtemala Antigua coffee must be mixed.

_____

Additional comment

By letting the variable in our equation 8.50(70 -y) +12.50y = 10.56(70) represent the high-cost coffee, we ensure that the simplified equation will have a positive coefficient for the variable. This means we don't have to mess with negative numbers, so eliminating a common source of math errors.

The problem requirement that we use x for the low-cost contributor meant we introduced an extra equation that would not have been needed.

linar system in variables
-x-3y-2z=8,
-x+y+6z=,
x-9y-2z=4

Answers

Answer:

-x+y+6z=? You did not spcify so I just made it 0

x = -22/5, y = -4/5, z = -3/5

Step-by-step explanation:

Solve the following system:

{-x - 3 y - 2 z = 8 | (equation 1)

-x + y + 6 z = 0 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Subtract equation 1 from equation 2:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+4 y + 8 z = -8 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Divide equation 2 by 4:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Add equation 1 to equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

0 x - 12 y - 4 z = 12 | (equation 3)

Divide equation 3 by 4:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

0 x - 3 y - z = 3 | (equation 3)

Swap equation 2 with equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+y + 2 z = -2 | (equation 3)

Add 1/3 × (equation 2) to equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+(5 z)/3 = -1 | (equation 3)

Multiply equation 3 by 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+5 z = -3 | (equation 3)

Divide equation 3 by 5:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add equation 3 to equation 2:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y+0 z = 12/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Divide equation 2 by -3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add 3 × (equation 2) to equation 1:

{-x + 0 y - 2 z = 28/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add 2 × (equation 3) to equation 1:

{-x+0 y+0 z = 22/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Multiply equation 1 by -1:

{x+0 y+0 z = -22/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Collect results:

Answer: {x = -22/5, y = -4/5, z = -3/5

What is 45% of 69/3???

Answers

Answer:

10.35

Step-by-step explanation:

69/3 = 23

45% of 23 = 10.35

What is the distance if each path in miles?

What is the distance if each path in miles?

Answers

Path B is 3 1/2 miles Path B is 4 1/2 miles Path A is 3 3/4

A positive angle less than 360 that is coterminal with -725 degrees is

Answers

The angles number would be 230

The positive angle is less than 360 which is coterminal with -725 degrees is  85 degrees.

What are Coterminal Angles?

Coterminal angles are those with the same beginning side and the same terminal sides. These angles are in the typical position, although their values differ. They have the same sides, are in the same quadrant, and their vertices are identical. The endpoint sides coincide at the same angle when the angles are rotated clockwise or anticlockwise.

An angle that is coterminal with -725 degrees is an angle that has the same initial and terminal sides as -725 degrees, but its measure is between 0 and 360 degrees.

To determine a positive angle less than 360 that is coterminal with -725 degrees, we can add or subtract multiples of 360 from -725 degrees until we get an angle within that range.

In this case, -725 degrees - (2 x 360) = -725-720= -1445.

So, the positive angle less than 360 that is coterminal with -725 degrees is -1445 degrees + 360 = 85 degrees.

To learn more about Coterminal Angles click here:

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