Solve x + 3y + z = 1
2x – y – z = 6
5x + y + z = 1

(1, 6, 1)

(1, 2, -6)

(2, 1, -4)

(-1, -2, 6)

The previous year's salary is x.

This year's salary is x + 3000.

12% of this year's salary is $4200.

12% * (x + 3000) = 4200

0.12(x + 3000) = 4200

x + 3000 = 35,000

x = 32,000

Answer: Her salary in the previous year was $32,000.

the number that would have rounded to 800,000 would have been 10,000 so it would have been 70,000

The correct answer is:

(x,y) = (6,2)

Option A would be the correct one.

Answer:

The answer is (6, 2).

Step-by-step explanation:

This is a system of equations so we have to replace one equation in the other one, this is:

[tex]2x-y=10[/tex] Eq. 1

[tex]y=-\frac{1}{2}x+5[/tex] Eq. 2

Replacing the Eq. 2 in the Eq. 1, we have:

[tex]2x-(-\frac{1}{2}x+5)=10[/tex]

[tex]2x+\frac{1}{2}x-5=10[/tex]

[tex]2.5x=10+5[/tex]

[tex]x=\frac{15}{2.5}[/tex]

[tex]x=6[/tex]

Now we have that x=6, we can replace it in the Eq. 2:

[tex]y=-\frac{1}{2} *6+5\\y=-3+5\\y=2[/tex]

Now y=2

From the above we have that the answer is (6, 2) expressed in Cartesian coordinates.

The answer you are looking for is 1/3.

First, you must look at the denominators of each fraction, to see if you can simply divide straight across. In this case, you cannot, which means you must multiply by the reciprocal or "flipped" number. Generally when you multiply by the reciprocal, you flip the number with the smaller denominator to multiply.

So, you have 4/3 * 3/12. You then multiply straight across (4 * 3)/(3 * 12), to get an answer of 12/36, which simplified (divided by 3/3) gives you a final answer of 1/3.

I hope this helps!

The required model is attached in the image and the division of 3/4 by 3 /12 is 3.

Given that,
To draw the model to represent 3/4 divided by 3/12.

In mathematics, it deals with numbers of operations according to the statements.

Model hs been attached below for the given problem of division,
= 3 * 4 / 3 * 12
For a rectangle space, drawing 4 column and 12 raws,
Now for 3 / 4 3 of the 4 column to be filled by red, for 3 / 12 every 3 cells in the row have been filled by red.
Calculating number of cells in 3 / 4 = 36
calculating number of cells in 3 / 12 = 12
Now ratio of the cells = 36 / 12 = 3

Thus, the required model is attached in the image and the division of 3/4 by 3 /12 is 3.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

2.13786 X 10 to the power of 4 equals  21378.6

Answer:

Which answer shows 2.13786 times 10 Superscript 4 written in standard form?  Option C

(C) 21,378.6  <======  Hope this helps

Step-by-step explanation:

Scientific Notation:

2.13786*10^4

Expanded Form:  21378.6

c. The number of games that Ella played. (the one I think)

The answer is c the number of games that Ella played, because it says she got 16 points per game.

What are the answer choices?

the answer is 6/10.

HOPE IT HELPS.

-crhinds1

The zeros of the function f(x) = x(x -4)((x + 8) is 0, 4 and -8. The correct options for the zeros of the function are: A, C, D

The zeros of a function are the values of the variables x for which f(x) is said to be equal to zero. From the given function, we will replace the value of x with zero and solve the function, the variable we get at the end of the solution are the zeros of the given function.

SO,

f(x) = x (x - 4)(x + 8)

Now, the zeros of the function can be computed as:

f(0) = 0 (0 - 4)(0 + 8)

f(0) = 0 ( -4) (8)

∴

f(0) = x  or    x - 4    or    x + 8

f(0) = x   or    x = 4   or    x = -8

Therefore, the correct options for the zeros of the function are: A, C, D

Learn more about zeros of a function here:

https://brainly.com/question/22101211?referrer=searchResults

We have 2 x 3 + 3 x (-3) + 5 = c;

Then, 6 - 9 + 5 = c;

- 4 + 5 = c;

1 = c;

Finally, c = 1.

Answer:

As written in the question Abbie, Chloe, and Xander are playing a dice game.

They are playing with two dices.

Rules are  

Same number on both dice= +3

Different numbers, with an even sum= +1

An odd sum= -2

After five rounds score of Chloe=+1

→1=3+1+(-2)+(-2)+1

⇒ Same number on both dice ( in first throw)+Different numbers ,with an even sum (in second throw)+An odd sum(third throw)+An odd sum(fourth throw)+Different numbers ,with an even sum (in fifth throw)

As you can alter the arrangement ,In each case you will get sum as(+1), as integers Satisfy both Commutativity and Associativity with respect to addition.

Answer:

this was also my homework :O

Step-by-step explanation:

Slope intercept form: y=3/4 - 3

slope:3/4

Y-intercept: -3

Because you subtract 4y from both sides to get it on the other side of the equation. You don’t want it to be 4y=3x-12 though so you would divide both sides by 4 which would give you y=3/4x-3. I hope this is right and it helps

Answer:

a) the no of coupons used at a super market cannot be normal as the no of coupons will not be symmetrical about the mean.  In other words, the no of coupons will be increasing and hence curve cannot be bell shaped as in normal.  So not normal

2) The weights of pumpkins that are delivered to a supermarket will be normal provided the number of pumpkins is large.  This is because of central limit theorem that the average weight of pumpkin will follow a normal distribution when sample size becomes large.

3) This is a discrete distribution because no of raisins is countable and hence cannot follow a normal distribution.  Normal distribution is meant for only continuous variables.

4) The amount of time customers spend waiting will follow an exponential distribution and cannot be normal

Step-by-step explanation:

Answer:

48%

Step-by-step explanation:

Given that five friends are chipping in for a birthday gift for their teacher.

They were David, Jakob , Stephanie, Kate and Janice

Boys contributed 13 dollar each i.e. a total of 26

Girls contributed 8 each i.e. a total of 24

total contribution =50

Out of total contribution 50, girls total contrbution = 24

Hence percent = 24(100)/50 = 48%

Answer: The percent of survey participants who chose fishing= 61.70%

Step-by-step explanation:

Total number of participants who completed survey= 18 + 29= 47

Now, the number of participants who chose fishing= 29

So,

The percent of survey participants who chose fishing= (the number of participants who chose fishing/the number of participants who completed survey)x100

The percent of survey participants who chose fishing= 29/47x100

The percent of survey participants who chose fishing= 61.70%

Answer:

Step-by-step explanation:  29/18+29 x 100

x² + y² = 9 is the equation of a circle with center (0, 0) and radius 3.

This puts the vertices at (-3, 0), (3, 0), (0, -3), and (0, 3).

When is the tangent line vertical? when it passes through the x-axis.

Answer: (-3, 0), (3, 0)

Answer:

1. a(x) = (x-4) (x-1) (2x+1) (x+3)

2. b(x) = (x^2-2) (x-5) (x+3)

3. c(x) = (2x-1) (x^2- 2x + 5)

so, the coefficient will 24, -3, and 7. The letters next to the coefficients are called "variable".

A i think it could be wrong im only in middle school

This one should be C. Just look at the corresponding letters and plants. It’s easy once you get the numbers and items correctly equaling each other.

Answer:

A) She must have used 20% from the $40 instead of the unknown price.

B) No, because: see below explanation.

Step-by-step explanation:

X is the original price.

If $40 is 80% of x, to find 1% of the price, divide $40 by 80.

You will get $0.50 for 1%.

To find the full amount, just multiply that by 100.

0.50*100= 50.

Total: $50.

Hope this helped!

Jane's friend calculated the original price by dividing $40 by 80 and multiplying by 100. However, they made a mistake in their calculations. The correct original price before the 20% discount should be $50.

A) It seems that Jane's friend arrived at $48 by considering $40 as 80% of the original price. Since Jane received a 20% discount, it means she paid 80% of the original price. Thus, her friend might have calculated by dividing $40 by 80 and then multiplying by 100 to find the original price.

B) However, her friend's calculation is incorrect. If we indeed divide $40 by 80 and multiply by 100, we get $50, not $48. This means the original price of the item is $50.

To further illustrate this, let's consider the original price to be 'x'. If Jane received a 20% discount, she paid only 80% of 'x'. So, 0.8x = $40. Solving for 'x', we get x = $40 / 0.8 = $50.

https://brainly.com/question/35988155

#SPJ3

Answer:

That 9 is divisible by 3.

Step-by-step explanation:

For this case we have the following statement:

"All odd numbers are divisible by 3"

The options given are the following:

a) 7 is odd but not divisible by 3, therefore it is a counterexample of the given statement

b) 9 is odd and is divisible by 3, therefore it is not counter-example

c) 8 is an even number, it is not a counter-example

d) 3 is odd and affirms the given statement.

Therefore, the correct answer is option A.

Answer:

Option A

In step 2, multiply what is inside the parentheses by 7 (distributive property):

7 * x = 7x

7 * 3 = 21

In step 3, subtract -7x on both sides of the equation. (Property of subtraction of equality)

Then -7x + 4x = -3x

7x-7x + 21 = 21

In step 4, both sides of the equation are divided by -3.

So (owned by the equality division)

-3x / -3 = x

-21 / -3 = 7

Remember that the division of equal signs results in a positive number.

4x = 7(x-3)                  Given equation

4x = 7x - 21               7 is distributed inside the parenthesis . So the property used here

                                     is distributive property                

-3x = -21                    7x is subtracted from both sides. 4x-7x is -3x. So the property used

                                   here is subtraction property of equality.

x = 7                         -3 is divided on both sides.  -21/3 is 7. So the property used

                                   here is division property of equality.

Answer:

4.28 $

Step-by-step explanation:

Given that a store sold 55 pairs of shoes for 85.60 each.

Sale proceeds = 55(85.60) = 428 dollars.

Later on 100 scafs were purchased.  For that the price was 428 dollars.

The proceeds of 428 dollars  were spent buying 100 scarves.

i.e. price of 100 scarves = 428 dollars

Hence price of 1 scarve = 428/100 = 4.28 $

Price of 1 scarve is 4.28 dollars is the answer

Okay so you subtract those two and you get  24.75.

You have to find how much more the length is compared to the width

You subtract the length by the width

65.25 - 40.5 = 24.75

The answer is 24.75 feet

BRAINLIEST?!

Answer:

3 units bruh

Step-by-step explanation:

The length of the segment AB is 3 unit.

According to a property of circles, when a line passes through the center of a circle and is perpendicular to a chord, it divides the chord into two equal parts, essentially bisecting it.

We have,

Chord AC = 6 units

Now, we know that when the diameter is perpendicular to the chord bisect the chord and arc

Then, AB = CB

Thus, the length of the segment AB will be:

AC = AB + CB

6 = x + x

2x = 6

x= 3

AB = 3 unit

Learn more about Circle here:

https://brainly.com/question/13546484

#SPJ1

Answer:

Correct cost for the cell phone monthly plan = 54.2$

Explanation:

Price for monthly plan = 58.95$

Discount = 4.75 $

New cost found out by Sam = 11.45$

Discount considered by Sam = 58.95 - 11.45 = 47.5$

So, Instead of considering discount amount of 4.75$ Sam accidentally considered 47.5$, so he got 11.45$ as new cost for the cell phone plan.

Actual cost = 58.95 - 4.75 = 54.2$

Correct cost for the cell phone monthly plan = 54.2$

4inches of chain 63and 35 inches  of chain decided by 15 equal 4     4 15 inches of chain