1. Represent the following system with a matrix
-2x + 4y + z = 0
-X + 3y = 0
5x + y + 9z = 8
2. What linear system of equations does this matrix represent?
6 -1 112
-1 10
3. What is the solution of this system of equations? Use your calculator.
3a + 2b - C = 7
2a - C = 5
A-4b+c=.4
4. You manage a health food store and budget $80 to buy ingredients to make 30 pounds
of trail mix. Peanuts cost $2.50 per pound, raisins cost $2.00 per pound, and granola
costs $4.00 per pound. If you use twice as many pounds of peanuts as raisins, how
many pounds of each ingredient should you buy? Show as much work as necessary.
You will not get any credit for just writing answers.

Answer:

c) The ratio of beeswax to coconut butter is 1 to 3.

Step-by-step explanation:

A ratio can be defined as a mathematical expression used for the comparison of two (2) values or quantities.

Basically, a ratio gives the relationship between two values or quantities by comparing them together. It is typically written in the form; x : y

In this scenario, to make a base for a jar of handmade cream, Barbara needs 3 tablespoons of coconut butter for every cup of beeswax. The statement which is true about this scenario is that, the ratio of beeswax to coconut butter is 1 to 3.

Given the following data;

Amount of coconut butter (X) = 3 tsp

Amount of beeswax (Y) = 1 cup

The ratio of beeswax to coconut butter is;

Y : X = 1 : 3

Hence, the ratio of beeswax to coconut butter is 1 to 3.

Answer:

2,875

Step-by-step explanation:

$5000 • 5.75% ( or 0.0575 ) = $2,875

Answer:

20

Step-by-step explanation:

[tex]GCD(80,100)\\\\\longrightarrow 80=2^4\cdot5\\\\\longrightarrow 100=2^2\cdot5^2\\\\[/tex]

so for two is

[tex]2^2[/tex]

and for 5 is

[tex]5[/tex]

so we multiply both

[tex]\longrightarrow 2^2\cdot5 \\\\=4*5\\\\=20[/tex]

we can use the euclidean algoritm as follows

[tex]100=80(1)+20\\\\80=20(4)\:\:\:\:\:\:\:\:\uparrow gcd[/tex]

Answer:

The degree of the given polynomial is 5

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.

The degree of a monomial is the sum of the exponents of the variables that appear in it.

We have the following polynomial:

[tex]3x^2y + 4xy + 1 - 5x^4y - 6y[/tex]

Degree of the first monomial: 2+1=3

Degree of the next monomial: 1+1=2

Degree of the next monomial: 0

Degree of the next monomial: 4+1=5

Degree of the next monomial: 1

Thus, the degree of the given polynomial is 5

Answer:

d

Step-by-step explanation:

Answer: a = 9 +b + c

Steps: a - b - c = 9

Subtract -b and -c from both sides:  a - b - c - (-b -c) = 9 - (-b -c)

Simplify: a = 9 +b + c

Plz mark brainliest:)

Answer:

Step-by-step explanation:

Hey :)

Keep in mind:

y = mx + b

Where m = slope and b = y-intercept

Since we are told:

y = 9x - 3

This means m = 9 and b = -3

Therefore the slope is 9 and y-intercept is at (0,-3)

Answer:

480

Step-by-step explanation:

25-13=12

12 x 80=960

960 divided by 2=480

Answer:

The second option

Step-by-step explanation:

Answer:

3/9

1 x 3

1 x 9

Step-by-step explanation:

Answer:

rotation

Step-by-step explanation:

tis is a rotation around line x=y

Answer:

Priya used cm to measure the desk while Noah used inch to measure the desk that is why they found different measurement for same desk.

Answer:Priya used cm to measure the desk while Noah used inch to measure the desk that is why they found different measurement for same desk.

What is the full question? This is just a statement.

Answer: The answer is Always any number that can be made into a fraction or decimal is a rational number.

Step-by-step explanation:

Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.

According to the graph, the number of barrels that the two machines would have filled at about the same time is; Option B; 50 Barrels

We are told that;

- Two machines fill water barrels

- One machine had filled 30 barrels before the faster machine started

- At a certain tile, they would have filled a number of water barrels at about the same time.

Now, from the graph, we see that;

The red line indicates the slower machine while the blue line indicates the faster machine.

From the graph, the number of barrels at intersection point is 50 barrels.

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Answer:

20 units

Step-by-step explanation:

a^(2)+b^(2)=c^(2)

48^(2)+b^(2)=52^(2)

2304+b^(2)=2704

2304-2304+b^(2)=2704-2304

b^(2)=400

\sqrt(b^(2))=\sqrt(400)

b=20

therefore,20 is the length of the unknown side

-plz mark brainliest-i try hard to help u guys

if you have a question on som else let me know

Answer: -32

Step-by-step explanation:

You just have to plug in where you see the variables

6(-3) - 3(2) + 2(-4)

-18 - 6 - 8

Answer:

-32

Step-by-step explanation:

The correct answer is 3.6 because you only divide 18 by 5 and you'll get your answer.

The decimal equivalent of 18/5 is 3.6.

To convert a fraction to a decimal, you divide the top number by the bottom number. In this situation, you take the number 18 and divide it by the number 5.

When you divide, you get 3 as your answer and you have 3 left over. So, the decimal equivalent is 3. 6

Learn more about decimal

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Answer:

power

Step-by-step explanation:

The another name for the exponent is power, the correct option is D.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

Given;

A number is written with a base and an exponent

Now,

n exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself and exponent is also called index or power.

Therefore, the answer will be exponent.

Learn more about exponentiation here:

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Answer:

35

Step-by-step explanation:

4x=64

divide that: =16

x=16

2(16)+3

35

Answer:

[tex] \frac{13}{35} [/tex]

Step-by-step explanation:

To add or subtract two or more fractions from each other, the denominators have to be the same. To make the denominators the same, we should find the least common multiple of 5 and 7. The least common multiple of 5 and 7 is 35. 5 should be multiplied with 7 to get 35 and 7 should be multiplied with 5 to get 35 (with both numerators).

[tex] \frac{4}{5 } - \frac{3}{7} [/tex]

[tex] \frac{4 \times 7}{5 \times 7} - \frac{3 \times 5}{7 \times 5} [/tex]

[tex] \frac{28}{35} - \frac{15}{35} [/tex]

[tex] \frac{13 }{35} [/tex]

When subtracting, only subtract the numerators (the denominators are kept as is).

Answer:

the answer is 13/35

Step-by-step explanation:

Answer:

prove that it doesn't even exist lol

8^2 gives you 64. 64x + 539x=603.

Step-by-step explanation:

Your answer would be y=603x-3710

Answer:

interesting

Step-by-step explanation:

Answer:

thx!

Step-by-step explanation:

Answer:

A. $2.87

Step-by-step explanation: