there are 325 7th graders in 12 classes . determine the unit rate

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:x = -0.1290322581

Step-by-step explanation:

Simplifying

9x + -4(1 + 10x) = 0

9x + (1 * -4 + 10x * -4) = 0

9x + (-4 + -40x) = 0

Reorder the terms:

-4 + 9x + -40x = 0

Combine like terms: 9x + -40x = -31x

-4 + -31x = 0

Solving

-4 + -31x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + -31x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + -31x = 0 + 4

-31x = 0 + 4

Combine like terms: 0 + 4 = 4

-31x = 4

Divide each side by '-31'.

x = -0.1290322581

Simplifying

Answer:

When you're listening to heartfelt emotional music and you're about to cry and then it starts buffering explanation:

Mood killer

Answer:

being abandoned by my significant other, being unable to talk to my significant other, just being alone and getting abandoned in general

Step-by-step explanation:

Answer:

2:1

Step-by-step explanation:

Answer:

[tex]\frac{1}{x}[/tex]

or

[tex]\frac{4x^{2} -3}{x}[/tex]

Step-by-step explanation:

can i have brainliest?

Answer:

5.85987448205

Step-by-step explanation:

Answer:

The answer is e+pi

Step-by-step explanation:

Answer:

17x-3

Step-by-step explanation:

6x+9 + 3x-2 = 9x+7

2(4x-5) = 8x-10

9x+7 + 8x-10 = 17x-3

Answer:

Step-by-step explanation:

Answer:

17x-3

Step-by-step explanation:

6x+9 + 3x-2 = 9x+7

2(4x-5) = 8x-10

9x+7 + 8x-10 = 17x-3

Answer:

10%

Step-by-step explanation:

The answer is 10% because when you multiply 20 by 10% you get 2 and if you multiply 2 by 10 you get 20.

Answer:

10%, remember to hit that thanks button

Step-by-step explanation:

1) 2.5

2) 2.5

3) 2.5

4) 2.5

Answer:

115

Step-by-step explanation:

Answer:

17,046.92 i think

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

It measures less than 90 degrees

Answer:

Acute angle

Step-by-step explanation:

(less than 90°)

Solve the inequality as y < 2x-3.

Draw the line y=2x-3 as a dashed line.

Shade below the line.

Josh needs to follow the steps to draw the required inequality graph.

Inequality expressions are expressions that are not separated by an equal sign.

Given the inequality expression 4x - 2y > 6,

Dividing through by 2 will give:

4x/2 - 2y/2 > 6/2

2x - y > 3

Make y the subject of the formula

-y > -2x + 3

y < 2x -3

For Josh to plot the inequality graph of y < 2x - 3, he needs to follow the process;

Learn more here: https://brainly.com/question/6874464

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Answer:

they felt it only benefited the industrialized north, increased the cost of British textiles.

Step-by-step explanation:

learned during U.S history so i think its right

Answer:

Tariffs hurt Southerners?

Step-by-step explanation:

In 1828, Congress passed a high protective tariff that infuriated the southern states because they felt it only benefited the industrialized north. For example, a high tariff on imports increased the cost of British textiles. This tariff benefited American producers of cloth — mostly in the north.

Answer:

How do you find the zeros of a polynomial graphically?

Step-by-step explanation:

If we graph this polynomial as y = p(x), then you can see that these are the values of x where y = 0. In other words, they are the x-intercepts of the graph. The zeros of a polynomial can be found by finding where the graph of the polynomial crosses or touches the x-axis.

Answer:

x = [tex]\frac{15}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2(x + 7) ← distribute

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = [tex]\frac{15}{2}[/tex]

Answer: B

Step-by-step explanation:

Each month, the person seems to grow taller. So, there IS a positive association between height and age.

Answer:

42

Step-by-step explanation:

Answer:

Step-by-step explanation:

The above equation is of the form y=mx+c

c is the y intercept so c=2

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

If a point  (x, y) is rotated 90° counterclockwise, its new coordinate is (–y, x).

Give point M (3, –6) is rotated 90° counterclockwise:

Step 1: Interchange the x- and y-coordinates to get (-6, 3)

Step 2: Multiply the new x-coordinate by –1 to get (-6(–1), 3)

Step 3: Simplify to get (6, 3)

Therefore she made an error in step 1

Answer: An error in step one

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Assuming you meant fractions, to divide them, you must multiply the reciprocal of that fraction. You'll then have:

4/5x15/8

Reduce the numbers of the greatest common factor which is 5:

4x3/8

Reduce the numbers of the greatest common factor which is now 4:

3/2 is your answer

Answer:

Step-by-step explanation:

Answer:

The Office

Step-by-step explanation:

Answer:

Answer:the company bought 12 computers and 4 printers.

Step-by-step explanation:

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

Answer:

The company bought 12 computers and 4 printers.

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

Answer:

yes just fill up the 6 gallon jar up to the 4 galon mark

Step-by-step explanation:

Answer:

The answer you have checked is the correct one.