elimination Method 2x-y-5z=27-2x-4y+7z=-27-2x-6y+3z= -3

Answer:

2c = 25

Step-by-step explanation:

Answer:

the equation would be 2c+25

and the . the equation answered would be c=$12.50

Step-by-step explanation:

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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Answer:

$50.00 is the discount price

The correct answer is (1,1) because both of the lines meet together at these numbers

Answer:

24;6

Step-by-step explanation:

Answer: B, Desiree is correct because there are 24 students to 6 tables in the room. A ratio must account for the total number of each value.

As a result, the isosceles triangle has a circumference of about 38.7 inches.

They apply stress and compression in various locations. Trusses can be built using triangles. Many structures, including roofs, bridges, and buildings, utilise trusses. Trusses' vertical and diagonal beams are joined to form triangles.

The isosceles triangle is split into two equal right triangles by the altitude because it bifurcates the base of the triangle. Let's name the hypotenuse of several of the right trapezoid "h" and the two equivalent sides of a isosceles triangle "x."

We can link the sides of both the right triangle using the Pythagorean theorem:

h² = x² + 21²

The other leg of the each right - angled triangle has length because the right and left triangles are congruent. (18/2) = 9 inches.

We can now link x and h using the Pythagorean theorem once more:

h² = 9² + x²

When we equalize these two equations, we obtain:

x² + 21² = 9² + x²

When we simplify this equation, we obtain:

21² = 9²

441 = 81 + x²

x² = 360

x = √360 = 6 × √10

Hence, the triangle's perimeter is as follows:

P = 2x + 18

P = 2 (6 × √10) + 18

38.7 inches for P (rounded to the nearest tenth of an inch).

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Answer:

The area is 155 ft.

Step-by-step explanation:

To find the area if a trapezoid, you have to add the number on top( in this case 13 ft) and then add that with the bottom number(18 ft.) Then, you take that answer and divide it by 2. After that, multiply it with the height(10.) Thus, the answer is 155 ft.

Answer:

Incremental cost is the total cost incurred due to an additional unit of product being produced. Incremental cost is calculated by analyzing the additional expenses involved in the production process, such as raw materials, for one additional unit of production.

Step-by-step explanation:

The incremental manufacturing cost Martinez incurs, if it increases production from 10,000 to 10,001 units, is $21.5.

We have,

Average cost = Sum of cost of all the units / Number of units

From the table given,

The average cost per unit when it produces 10,000 units.

= 6 + 3.5 + 1.5 + 4 + 3 + 2 + 1 + 0.5

= 21.5

Now,

Substituting the values here,

Average cost = Sum of cost of all the units / Number of units

21.5 = Sum of the cost of 10,000 units / 10,000

The sum of the cost of 10,000 units

= 21.5 x 10,000

= 215000

Now,

The incremental cost is the cost of one unit.

= 21.5

Thus,

The incremental manufacturing cost Martinez incurs, if it increases production from 10,000 to 10,001 units, is $21.5.

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Answer:

Zero of the function = (-6, 0)

Step-by-step explanation:

Let the equation of the function given in the graph is,

y = mx + b

where m = slope of the line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) = \(\frac{y_2-y_1}{x_2-x_1}\)

b = y-intercept of the line

From the graph attached,

Slope of the line passing through (-8, 3) and (-3, 4.5) = \(\frac{-4.5-3}{-3+8}\) = -1.5

y - intercept 'b' = -9

Therefore, equation of the line will be,

y = -1.5x - 9

Function representing this line will be,

g(x) = -1.5x - 9

Zeros of the given function will be,

g(x) = 0 Or x-intercept

-1.5x - 9 = 0

x = -6

Therefore, zero of the given function is (-6, 0).

Answer:

Its like how much you multiply the original shape by, to the new one.

For example, if your new shape is double the size of the original shape, then the scale factor is 2, because you would multiply the original by 2, to get the size of the new.

However, if your new shape is half the size, then the scale factor is 1/2, as you multiply the original by half to get the new shape.

Hope this cleared things up, lmk down below if you any further questions.

Answer:

a) 12 ft for the length and the width

b) 7 ft as the length for each side

Step-by-step explanation:

a) Area = length x width

Since the shape is a square, that means that the length and the width have to be the same.

Because of this you have to square root 144 and you get 12 since 12x12 = 144.

b) For perimeter, this is the sum of all sides. Since a square has 4 sides and all these sides must be the same length since the shape is a square, then you have to do 28 ÷ 4 and you get 7 as your answer

the first time in my class or must i forget abt u cos i always indoors and i know ukuthi im not strong so

Answer:

now she has 2 sweaters to wear

Answer:

\((r,s) => (2,-1);(2,0); (1,-1); (4,-1);(2,3)\)

Step-by-step explanation:

Given

\((r - 2)(s +1) = 0\)

Required

Write at least 5 pair of numbers

\((r - 2)(s +1) = 0\)

This can be split to be

\(r -2 = 0\)  --- (1)

or

\(s + 1 = 0\) --- (2)

Solve for r in (1)

\(r = 2\)

This means that for whatever value that s assumes, the equation will always be true when r = 2

Solve for s in (2)

\(s = -1\)

This means that for whatever value that r assumes, the equation will always be true when s = -1

So, we can make use of the following pair

\((r,s) => (2,-1);(2,0); (1,-1); (4,-1);(2,3)\)

Given that cos (0) = 0, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find the value of sin (0).

sin^2(0) + cos^2(0) = 1

sin^2(0) = 1 - cos^2(0)

sin^2(0) = 1 - 0^2

sin^2(0) = 1

So, sin (0) = sqrt(sin^2(0)) = sqrt (1) = 1.

However, the given value is sin (0) = v3/6. This means that sin (0) = sqrt (3)/2, which is the value of sin (60). Therefore, the correct value of sin (0) is sqrt (3)/2, not 1.

trigonometry, the branch of mathematics deal with specific functions of angles and their application to calculations. There is total six functions of an angle commonly used in trigonometry.

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Answer:

\(x > 60\)

Step-by-step explanation:

\(x-30 > 30\)
\(x > 60\) (add 30 onto both sides of the inequality)

The correct answer is:  [D]:  " \(\frac{(1.2)^2^4}{(1.4)^1^8}\)  "

Step-by-step explanation:

Given:  ( 1.4³ / 1.2⁴)⁻⁶ ;

Note the following properties of exponents:

1)    \(a^-^b = \frac{1}{a^b}\) ;  { \(a\neq 0\) } ;  and:

2)   the  'power of a fraction' rule:
 \((\frac{a}{b})^c} =\frac{a^c}{b^c}\) ;  \(b\neq 0\) '

As such:
\((\frac{1.4^3}{1.2^4})^{-6}\)  ;

=  1  ÷ ( \(\frac{1.4^3}{1.2^4})^{6}\) ;

=  \(\frac{1}{1}\)   ÷ ( \(\frac{1.4^3}{1.2^4})^{6}\) ;;

=  \(\frac{1}{1}\)   ÷   \(\frac{1.4^(^3^*^6^)}{1.2^(^4^*^6^)}\) ;

Note the follow property of exponents:
" \((\frac{a}{b})^c = \frac{a^c}{b^c}\) " ;  {" b ≠ 0 "}.

⇒ =   \(\frac{1}{1}\)   ÷ \(\frac{1.4^(^1^8^)}{1.2^(^2^4^)}\)

Note:  Dividing by a fraction or a number; is the same as multiplying by the reciprocal (invert) of that number.

   =   \(\frac{1}{1}\)   *  \(\frac{1.2^(^2^4^)}{{1.4^(^1^8^)}}\) ;

   =     "  \(\frac{1.2^(^2^4^)}{{1.4^(^1^8^)}}\)  "  ;

which corresponds to:
Answer choice:  [D]:   " \(\frac{1.2^(^2^4^)}{{1.4^(^1^8^)}}\) " .
____________
Hope this is helpful!  Best of luck!

____________

Answer:

Yes it is true

Step-by-step explanation:

15/10 equals 1.5

The trigonometric function on the graph is:

f(x)= -cos(x)

So the correct option is B.

Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.

Notice that:

sin(0)= 0

cos(0) = 1

So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:

f(x) = -cos(x)

That is the graphed function.

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The circumference of the circle is 55.9 m

The radius is given as 8.9 m

The formula for calculating circumference of a circle is

= 2πr

= 2 × 3.142 × 8.9

= 55.9

Hence the circumference of the circle is 55.9m

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Answer:

  y = (-1/80)x^2 +2x

Step-by-step explanation:

The graph of the equation for the arch will go through the points ...

  (0, 0), (160, 0), (80, 80)

We can start by making use of the zeros to write the function ...

  y = a(x -0)(x -160)

To make the graph go through the point (80, 80), we must have ...

  80 = a(80 -0)(80 -160) = (-80^2)a

  -1/80 = a . . . . . . divide by the coefficient of "a"

So, our equation is ...

  y = (-1/80)x(x -160)

  y = (-1/80)x^2 +2x

The figure with 2 lines and 2 rays is drawn and labeled and can be seen in the attached picture.

In the question, we are asked to draw and label a figure that has at least 2 lines and 2 rays.

First, we need to note three things:

Now, we are asked to make a figure with 2 lines (that is, two endless collections of points) and 2 rays (that is, a part of the line with a fixed start point, but no end point).

This can be shown in the attached figure.

In the figure, AB and CD are the two lines, and PQ and XY are the two rays.

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Answer:

The domain of a function is the set of all real numbers for which the function is defined. In this case, the function is defined when the denominator is not equal to zero. The denominator is equal to zero when x=1. Therefore, the domain of the function is all real numbers except for x=1.

In interval notation, the domain is written as

(-∞,1) ∪ (1,∞)

Step-by-step explanation:

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

4.4028

Step-by-step explanation:

Probability of game (p) = 0.3669

Number of wins in November (n) = 12

Expected number of wins = p*n

Expected number of wins = 0.3669 * 12

Expected number of wins = 4.4028

So, the expected number of wins for the month of November is 4.4028.

Answer:

negative

Step-by-step explanation:

we know this because a negative divided by a positive is a negative

Answer:

Step-by-step explanation:

= -125 ÷ 5

= -25

It's negative

If Santiago has been approved for a mortgage up to $195,000 and the conventional loan requires a 20% down payment, then his down payment will be:

Down payment = 20% * $195,000

Down payment = $39,000

Therefore, if Santiago buys a house for the maximum amount he has been approved for, he will need to make a down payment of $39,000.

To calculate how much house Santiago can afford, we need to subtract the down payment from the total amount he has been approved for:

Maximum home price = Total mortgage amount - Down payment

Maximum home price = $195,000 - $39,000

Maximum home price = $156,000

Therefore, Santiago can afford a home up to a maximum price of $156,000.

To summarize:

Santiago's down payment will be $39,000.

Santiago can spend up to $156,000 on a house.

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