HI please help!!!!!!!!!!!

System of equation are,

9x + 3y + 12z = $45.75

5x + 6y + 8z = $41.50

12x + 4y + 50z = $128

Where, x is number of boxes of pencil,

           y is number of boxes of markers.

           z is number of packages of notebook paper.

What is System of equation?

System of equation is two or more equations to be solved together. For a system to have a unique solution, the number of equations must equal the number of unknowns.

Now, Let number of boxes of pencil = x

Number of boxes of markers = y

Number of packages of notebook paper = z

Since, Mr. Smith bought nine boxes of pencils, three boxes of markers, and twelve packages of notebook paper for $45.75.

Hence, In expression is written as;

9x + 3y + 12z = $45.75

Ms. Santana purchased five boxes of pencils, six boxes of markers, and eight packages of notebook paper for $41.50.

Hence, In expression is written as;

5x + 6y + 8z = $41.50

Mrs. Baker spent $128 on twenty boxes of pencils, four boxes of markers, and fifty packages of notebook paper.

Hence, In expression is written as;

12x + 4y + 50z = $128

So, System of equation are,

9x + 3y + 12z = $45.75

5x + 6y + 8z = $41.50

12x + 4y + 50z = $128

Where, x is number of boxes of pencil,

           y is number of boxes of markers.

           z is number of packages of notebook paper.

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The table represents the direct relationship y = - 3 · x. (Correct choice: C)

Two variables have a direct relationship if and only if the following model is observed:

y ∝ x

y = k · x

Where k is the constant of proportionality.

The table may represent a direct relationship if and only if each ordered pair has the same constant of proportionality. Now we proceed to evaluate the table:

k₁ = - 3 / 1

k₁ = - 3

k₂ = - 9 / 3

k₂ = - 3

k₃ = - 15 / 5

k₃ = - 3

As k₁ = k₂ = k₃, then the table represents the direct relationship y = - 3 · x.

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Answer:

1,000

Step-by-step explanation:

25% as a decimal is .25

.25 x 4000

1,000

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{25\% \times 4,000}\\\\\mathsf{= \dfrac{25}{100}\times 4,000}\\\\\mathsf{= \dfrac{25\div25}{100\div25}\times \dfrac{4,000}{1}}\\\\\mathsf{= \dfrac{1}{4}\times \dfrac{4,000}{1}}\\\\\mathsf{= \dfrac{1\times4,000}{4\times1}}\\\\\mathsf{= \dfrac{4,000}{4}}\\\\\mathsf{= 4,000\div4}\\\\\mathsf{= 1,000}\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{1,000}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

it is actually 1:1 that is 1 all over one

If the two angles corresponds, hence the value of x that makes them to be equal is 40

An angle is a point where two lines meet or intersect

Using the diagram below such that if the line a and b are parallel to each other hence the given angles are corresponding angles.

Equate both angles

2x - 20 = x +20

Collect the like terms

2x - x = 20 + 20

x = 20 + 20

x = 40

Hence the value of x that will make both angles correspond is 40

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Answer:

23.4%

Step-by-step explanation:

10 = (2.34 / 10) x 100% = 23.4%.

Answer:Scale factor is 10 , the second part is 50

Step-by-step explanation:

the expression for the statement that is given will be 15 + 5 z.

We are given the statement that the sum of 15 and the product of 5 and z

We need to make the expression that represents the statement.

First we will find out that the product of 5 and z

So, we will multiply 5 with z.

We get that:

= 5 × z = 5 z

Now we have to find the sum of 15 and 5 z

For this, we will add both the numbers.

We get that:

= 15 + 5 z

Therefore. we get that, the expression for the statement that is given will be 15 + 5 z.

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The area of the rectangular arena can be represented as A = (8y2 - 18y) square feet.

Here, we are given the dimensions of a rectangular arena, which are as follows-

Length = 4y - 9 feet

width = 2y feet

The area of a rectangle is given by the formula-

Area of a rectangle = length x breadth

Thus, in this case, area (A) can be calculated as follows

A = (4y - 9) * 2y

Now, we simplify the equation-

A = (4y)(2y) - 9(2y)

A = 8[tex]y^{2}[/tex] - 18y

Thus, the area of the rectangular arena can be represented by the following equation- A = (8[tex]y^{2}[/tex] - 18y) square feet.

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Answer:

=============================

Distribute and simplify, then find the x-intercepts:

The x- intercepts are:

Since the leading coefficient is positive, the graph opens up, so the interval between the x-intercepts is negative:

Answer:

190 square feet

Step-by-step explanation:

25×4 + (25-5×2) × (10-4) = 25×4 + 15×6 = 100+90 = 190

The real world representation of the given statement is the expression 3x/8

From the question, we are to write the real world description of the given statement.

The given statement is

"the quantity three times x end quantity divided by 8"

To write the real world description of the given expression, we will write the expression as a mathematical statement

Writing the expression as a mathematical statement

'quantity three times x" can be written as

3 × x

= 3x

Then,

"the quantity three times x end quantity divided by 8" becomes

3x ÷ 8

= 3x/8

Hence, the real world representation of the given statement is 3x/8

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Answer: x% of 120=3.6

Step-by-step explanation:

20% of x is 15----   .20*15=3, therefore x=3.

3%=0.03, 0.03*120=3.6

Answer:

hope this helps you

(f-g)(x)=2x+1-(x^2-7)

(f-g)(x)=2x+1-x^2+7

answer : (f-g)(x)= -x^2+2x+8

Answer:

Step-by-step explanation:

let the three consecutive odd numbers be x,x+2,x+4

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

thus x =

  Solving the problem by Dividing and simplifying we have as a result 2x⁶y³

  A division is a basic mathematical operation, which has the purpose of dividing a number or element into two or more equal parts, as follows:

Dividend |_divisor

Divisions can also be expressed as a fraction as : a/b

Simplification is a process of reducing terms to expressions, which do not generate changes or values.

The algebraic expression we will divide and simplify to its smallest expression is:

∛64x⁹y³ / ∛8 x³

We solve the cube roots and substitute results, to split terms

4x⁹y³ / 2x³

 we can see that it is an expression that has two variables

2x⁹⁻³y³

2x⁶y³

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The reasoning isn't correct.

It should be noted that the fruit salsa recipe calls for 2 cups finely chopped pineapple and 4 cups of finely chopped strawberries

This implies that the ratio is:

= 2/4

= 1/2

= 1:2.

Therefore when Isaiah only has 1 cup of pineapple, the appropriate strawberry will be:

= 1 × 2 = 2

He's wrong as he doesn't need 3 cups.

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Accoreding to the given statement,

The simple method to find the value of √20 is to factorise the number under the root.

The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.

According to the given value;

The prime factorisation of 20 = 2 x 2 x 5 = 2 2 x 5

Thus, here we can see, 20 is not a perfect square, because we cannot pair digit 5 after factoring 20.

Only 2 2 can be taken out of the root.

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The third term of a given geometric sequence based on common ratio 2 is 8.

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

Given a geometric sequence.

First term = 2

Second term = 4

Common ratio = Next term / previous term

Common ratio = 4/2 = 2

So,

Common ratio = Third term / second term

The third term = common ratio × second term

The third b = 2 × 4 = 8

Hence "The third term of a given geometric sequence based on common ratio 2 is 8".

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Answer:

1.24

Step-by-step explanation:

To round 1.237 to the nearest 100th ( you have to know the thousandth one. which the value is 1.237, ) which is 7 and equal to or more than 5. Therefore, the hundredths value of 1.237

The comparison of the numbers are √160 > √115.1

The numbers are given as

square root of one hundred sixty and one hundred fifteen ninths

Rewrite properly as

√160 and √115.11

By comparing the radical of both numbers, we have

160 and 115.11

160 is greater than 115.11

Hence, the comparison of the numbers are √160 > √115.11

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Using scientific notation, the number of significant digits of the product is given as follows:

B. 3.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

When two numbers in scientific notation are multiplied, we have that:

For this problem, the product is given by:

[tex]5.2187 \times 10^{-3} \times 2.05 \times 10^7 \times 3.4 \times 10^3[/tex]

Multiplying the bases and adding the exponents, we have that:

[tex]5.2187 \times 10^{-3} \times 2.05 \times 10^7 \times 3.4 \times 10^3 = 5.2187 \times 2.05 \times 3.4 \times 10^{-3 + 7 + 3} = 42.8 \times 10^7[/tex]

42.8 has to be divided by 10 to assume for the base have only one digit, thus, to compensate, we have to add one to the exponent(equivalent to multiply by 10), hence:

[tex]42.8 \times 10^7 = 4.28 \times 10^8[/tex]

Hence, considering the rounding, the number has 3 significant digits(4, 2 and 8), and option B is correct.

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first we need to know 3 percent of 800.

0.03 times 800 = 24.

we get about 24 interest every year.

now for four years. 800 + 24 = 824.

824 times 4(implying four years) = $3296

The value of her investment at the end of four years is $3296

[tex] \rho = \frac{mass}{volume} = \frac{12}{13} \approx0.923 \: g.cm {}^{ - 3} [/tex]

I could be wrong, but your answer should be: [tex]50h^2-100h-150[/tex].

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

Hope this helps!

Have a great day and God bless! :)

Answer:

[tex]50h^{2} -100h -150[/tex]

Step-by-step explanation:

Assuming that h has no defined value, all we have to do here is multiply every defined number(non-variable numbers) in the parentheses here by 5.

[tex]5(10h^{2} -20h -30)[/tex]           Given

[tex]50h^{2} -100h -150[/tex]            5x10=50, 5x(-20)=-100, and 5x(-30)=-150

By using the fact that the two lines with the purple arrow are parallel, We can conclude that the angles are y = 133° and x = 47°

First,  notice that the two lines with the purple arrow are parallel lines, and these lines are intersected by the same line, then the 4 angles formed in the above line are the same ones than in the below line.

So, if the angle in the fourth quadrant of the above intersection is the same as the angle in the fourth quadrant of the below intersection, then we can see that:

y = 133°

And x + y should be equal to 180°, then:

133° + x = 180°

x = 180° - 133° = 47°

We can conclude that the angles are y = 133° and x = 47°

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