solve the system of two equations 2y=8 and 15y=2x-4

Answer:

C. [tex]y-4=-\frac{9}{11}(x+8)[/tex]

Step-by-step explanation:

The point slope form is  [tex]y-y_1=m(x-x_1)[/tex] where m is the slope,

First we are going to calculate [tex]m[/tex]:

If you have two points:

[tex]A=(x_1,y_1)\\B=(x_2,y_2)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this case: A=(-8,4) and B=(3,-5)

[tex]x_1=-8, y_1=4\\x_2=3, y_2=-5[/tex]

Replacing in the formula:

[tex]m=\frac{-5-4}{3-(-8)}=-\frac{9}{11}[/tex]

Then [tex]y-y_1=-\frac{9}{11}(x-x_1)[/tex],

Now we have to replace with: [tex]x_1=-8, y_1=4[/tex],

[tex]y-y_1=-\frac{9}{11}(x-x_1)\\\\y-4=-\frac{9}{11}(x-(-8))\\\\y-4=-\frac{9}{11}(x+8)[/tex]

Then the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) is:

C. [tex]y-4=-\frac{9}{11}(x+8)[/tex]

Yolanda and her 3 brothers are sharing 156 toy dinosaurs. By dividing 156 by the total number of children, which is 4, we find that each child gets 39 toy dinosaurs.

The question requires us to divide a certain number of items, specifically toy dinosaurs, equally among a group of children. Yolanda and her 3 brothers share a total of 156 toy dinosaurs. To find out how many dinosaurs each child gets, we need to perform a simple division operation.

Since there are 4 children in total (Yolanda plus her 3 brothers), we divide the total number of toy dinosaurs by 4:

Therefore, each child would receive approximately 39 toy dinosaurs.

Final answer:

To determine how many toy dinosaurs each child receives, divide 156 (the total number of dinosaurs) by 4 (the number of children), resulting in 39 dinosaurs per child.

Explanation:

The subject of this question is Mathematics, and it belongs to the Middle School grade level. The question involves dividing a set of items equally among a group of children, which is a basic arithmetic problem.

Yolanda and her 3 brothers together make a group of 4 children. To find out how many toy dinosaurs each child gets, we divide the total number of toy dinosaurs by the number of children:

Total number of toy dinosaurs: 156
Number of children: 4

Number of dinosaurs per child = 156 ÷ 4
= 39

So, each child would receive approximately 39 toy dinosaurs.

Answer:

5.62 = (5 x 1) + (6/10) + (2/100)

Step-by-step explanation:

5.62 = (5 x 1) + (6/10) + (2/100)

The number of nights studies in a month is 20.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Number of nights in a month = 30

The number of nights studied in a month.

= 2/3 x 20

= 2 x 10

= 20

Thus,

The number of nights is 20.

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The average rate of change of the function f(x)=x^2-x-1 over the interval from -1 to 1 is calculated as the change in the function's values over the change in x, which results in -1.

The average rate of change of a function f(x) over a given interval [a, b] is defined as the change in f(x) divided by the change in x. It is equal to the value of the function at point b minus the value of the function at point a, divided by (b-a).

For the function f(x)=x^2-x-1, we are given the interval from -1 to 1. In this case, a=-1 and b=1.

So first calculate f(a) and f(b), i.e., f(-1) = (-1)^2 -(-1)-1 = 1, and f(1) = (1)^2 -(1)-1 = -1.

Then, plug these values into the average rate of change formula, which gives us (-1-1) / (1 - (-1)) = -2 / 2 = -1. So the average rate of change of the function f over the interval from -1 to 1 is -1.

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The algebraic expression for ''6 more than number c'' is written as;

⇒ c + 6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

''6 more than number c''

Now,

The term ''6 more'' means to ''increase 6'' or to ''add 6''.

Thus, The expression ''6 more than number c'' is written as;

⇒ c + 6

Therefore, The algebraic expression for ''6 more than number c'' is written as;

⇒ c + 6

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Answer:

x = 8.64

Step-by-step explanation:

12% of 72 = (12/100) * 72/x

= 0.12 * 72

x = 8.64

8.64 is 12% of 72. Determining any kind of percentage will not be a challenge for anybody if the above procedure is followed step by step.

(I think you are in the same county like me. Is it Dadeschools in Miami. Oh and the the Chapter is Chapter 2 Lesson 3 "The Percent Proportion" right?....)

You must be a 12 Grader by now...

There are 9 tiles are along an edge of the room.

Here,

A square room has a tiled floor with 81 square tiles.

What is Area of a square?

In square all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side.

Now,

A square room has a tiled floor with 81 square tiles.

Number of tiles on edge of the room is equal to length of one side of the room.

Hence, we have to find the length of each side of a square room.

For this,

Area of square room = [tex]side^{2}[/tex] = [tex]81[/tex]

⇒ side = √81 = 9

So, There are 9 tiles are along an edge of the room.

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Answer:

The answer is B. Volume

Step-by-step explanation:

Finding the area of the tank would only show the size of one of the panals. The perimater is the length around one of the side panels of the tank. Lateral area is simmiler to the surface area, howerver it excludes the base and top. Volume is the only answer choice that calculates how much water will fill the tank. Volume can be found by multiplying the base multiplyed my the length multiplyed by the hight.

Answer:

b volume

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

sorry if this its old

Answer:

thanks

Step-by-step explanation:

8465+485744-37493