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The given equations are

[tex]2x-3y=-1\cdots(i) \\\\y=x-1\cdots(ii)[/tex]

(a) Solution by graphing both the equations:

Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.

From the graph, the point of intersection is (4,3)).

Hence, the required solution is (4,3).

(b) Solution by elimination method:

Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have

[tex]-2x+2y=-2\cdots(iii)[/tex]

Add equations (i) and (iii), we have

2x-3y=-1

-2x+2y=-2

__________

[tex]\Rightarrow -3y+2y=-1-2\\\\ \Rightarrow -y=-3\\\\ \Rightarrow y=3.[/tex]

Putting the value of y=3 in equation (i), we have

[tex]2x-3\times 3=-1 \\\\\Rightarrow 2x=-1+9=8 \\\\\Rightarrow x=8/2=4[/tex]

Hence, the required solution is (4,4).

(c) Solution by substitution method:

Substituting the value of y from equation (ii) to equation (i), we have

[tex]2x-3(x-1)=-1 \\\\\Rightarrow 2x-3x+3=-1 \\\\\Rightarrow -x=-1-4=-4 \\\\\Rightarrow x=4[/tex]

Putting the value of x=4 in equation (i), we have

[tex]y=4-1=3[/tex].

Hence, the required solution is (4,3).

Answer:

2

Step-by-step explanation:

Answer:

they equal 360 so add all and minus that by 360 like for example its 160 total minus 360-160

Step-by-step explanation:

Answer: 45 centimeters

Step-by-step explanation:

27 - 3

divide both by 3

9 - 1

multiply by 5

45 - 5

Answer:

45 Centimeters.

Step-by-step explanation:

27 / 3 = 9

9 x 5 = 45

Answer:

c

Step-by-step explanation:

Answer:

C. yes because BC/ST = AC/RT

Hope This Helps!

Answer:

[tex]Tatiana = \$8.35[/tex]

Step-by-step explanation:

Given

[tex]Total = \$31.50[/tex]

[tex]Felicia = \$4.25[/tex]

[tex]Ingrid = 2 * Felicia[/tex]

[tex]Meiko = \$1.90 + Ingrid[/tex]

Required

Determine amount spent by Ingrid

We have that:

[tex]Ingrid = 2 * Felicia[/tex]

Substitute $4.25 for Felicia

[tex]Ingrid = 2 * \$4.25[/tex]

[tex]Ingrid = \$8.5[/tex]

We also have that:

[tex]Meiko = \$1.90 + Ingrid[/tex]

Substitute $8.5 for Ingrid

[tex]Meiko = \$1.90 + \$8.50[/tex]

[tex]Meiko = \$10.40[/tex]

The total can be represented as thus:

[tex]Felicia + Ingrid + Meiko + Tatiana = Total[/tex]

[tex]\$4.25 + \$8.50 + \$10.40 + Tatiana = \$31.50[/tex]

[tex]\$23.15+ Tatiana = \$31.50[/tex]

Collect Like Terms

[tex]Tatiana = \$31.50 - \$23.15[/tex]

[tex]Tatiana = \$8.35[/tex]

Answer: the answer is x=12 and x=4

Answer:

98 copies

Step-by-step explanation:

25% of 78 is 19.5

19.5 + 78 = 97.5

Because there can't be half of a copy we round up based on the decimal. Therefore the answer would 98 copies.

Answer:

2080

Step-by-step explanation:

that's the answer i think Good luck :)

Answer:

1138

Step-by-step explanation:

From the information given:

We can represent it perfectly in an exponential form:

[tex]m = p(q)^x[/tex]

where;

p = initial value = 120

q = base of the exponential form

q = 1 + r

here; r = rate in decimal = 10% = 0.1

Then q can now be = 1 + 0.1 = 1.1

Replacing it into the exponential form, we get:

[tex]m = 120(1.1)^x[/tex]

where;

x = number of days and m = number of shoppers

Thus:

For the first day:

[tex]m = 120(1.1)^x[/tex]

m = 120

For the second day:

[tex]m = 120(1.1)^1[/tex]

m = 132

For the third day:

[tex]m = 120(1.1)^2[/tex]

m = 145.2

For the fourth day

[tex]m = 120(1.1)^3[/tex]

m = 159.72

For the  fifth-day

[tex]m = 120(1.1)^4[/tex]

m = 175.692

For the sixth-day

[tex]m = 120(1.1)^5[/tex]

m = 193.2612

For the seventh-day

[tex]m = 120(1.1)^6[/tex]

m = 212.58732

Thus; the total numbers of shoppers for the first 7 days is:

[tex]= 120+ 132 + 145.2 + 159.72 + 175.692+193.2612+212.58732[/tex]

= 1138.46052

≅ 1138

Answer:

awsome

Step-by-step explanation:

Answer:

Well..

Step-by-step explanation: Za Warudo

Answer:

Start with n add 2

n + 2

Mark me as brainliest

Answer:

Set A is a function

set B is not a function

Answer:

Regroup Terms: cos 45 tan 45x + tan​^2​​ tan 30x, 60

Answer:

[tex]\frac{1}{\sqrt{2}}+\frac{3}{\sqrt{3}}[/tex]  , by the way, the simplified is [tex]2.439157589[/tex]

Step-by-step explanation:

I included a chart so next time you don't need to worry

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

4 : 6 = 2/3

8/3 : 4 = 2/3

16/9 : 8/3 = 2/3

There are actually two correct answers, one of them is y-4=-0.5(x-4)

First of all, the slope-intercept that can be derived from the points (-4,8) and (4,4) is y=[tex]-\frac{x}{2} +6[/tex], with -0.5 being the slope. To bring this to point-slope form, you must signify the slope and the coordinate intersection. Since there are two coordinates, there are actually two point-slope equations.

Answer:

x ≤ 3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define inequality

3x ≤ 9

Step 2: Solve for x

Here we see that any solution x less than or equal to 3 would be a solution of the inequality.

Answer:

8/15=32

Step-by-step explanation:

Answer:

x = 16cm

Step-by-step explanation:

[tex]C^{2}[/tex] - [tex]A^{2}[/tex] = [tex]B^{2}[/tex]

[tex]20^{2}[/tex] - [tex]12^{2}[/tex] = 256

[tex]\sqrt{256}[/tex] = 16

-c + 1 > 2

-c > 2-1   Move 1 to subtract.

-c > 1

c < -1      When the coefficient is negative, moving the negative to another side as changing the sign of Inequality to opposite.

Thus, the answer is c < -1

Answer:

A.

Step-by-step explanation:

im in geometry my teacher lidirally teaching this rn brainliest pls pls pls

Answer:

Step-by-step explanation:

Five is a factor of 10.

Two times five = 10

Answer:78,800

Step-by-step explanation:

Answer:

The y-intercept is -2.

Step-by-step explanation:

Look at the graph and see where the line crosses the y-axis.

Answer:

-2

Step-by-step explanation:

The y-intercept is defined as the point where the line crosses the y-axis. It can be negative or positive. In this picture, the line crosses the y-axis at the point -2.

~theLocoCoco

Answer:

92

Step-by-step explanation:

Mean is all the numbers added up together and then divided by the # of numbers.

88*4 = 352

352-80-95-85 = 92

Answer:

A-92

Step-by-step explanation:

Answer:

I have attached a picture of the graph.

Step-by-step explanation:

So for 3 miles, they are charged $6 and for 5 miles, $8. This means that for 5-3 = 2 miles, they are charged $8-$6 = $2.

2 miles = $2

1 mile = $1

We will apply this charging rate for 3 miles since we know there is a flat fee added into it too.

3 miles = $3

Flat fee = $6 - $3

            = $3

That means that at 0 miles, there is a flat fee of $3, and so the graph would start at 3 on the x-axis even when the y-axis (representing the miles) is at 0 (0 miles).

You also know that for each mile, there is an increase of $1, so the graph should increase upwards at 1 dollar per 1 mile. I have attached the graph for you.

Answer:

Graph at (3, 6) and (5,8) and YES they are proportional

(don't forget to correctly graph the x and y)