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Answer:

Lets start with the given system of linear equations In order to solve for one variable, we must eliminate the other variable. So if we wanted to solve for y, we would have to eliminate x (or vice versa). So lets eliminate x. In order to do that, we need to have both x coefficients that are equal but have opposite signs (for instance 2 and -2 ...

Step-by-step explanation:

Answer:25

Step-by-step explanation: gnfxnhhfcngn bhh fxbx

Answer: 8 weeks

explanation: 125 + 15x = 245

You then have to subtract 125 from both sides so we can isolate our variable which will give us 15x = 120 . Divide 15 from both sides : 15x/15 = 120/15 which will give us x = 8.

Answer:

y= -2x -2

Step-by-step explanation:

slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

Given that the slope is -2, m= -2.

Susbt. m= -2 into the equation:

y= -2x +c

To find the value of c, substitute a pair of coordinates.

When x= -4, y= 6,

6= -2(-4) +c

6= 8 +c (expand)

c= 6 -8 (-8 on both sides)

c= -2 (simplify)

Thus, the equation of the line is y= -2x -2.

Answer:

Step-by-step explanation:

3(x-5)=24

Answer:

A.point W

Step-by-step explanation:

The point that describes the intersection of line m and line n is point W. The correct option is A.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

As it is given that Line m intersects line n at point W. Therefore, The point that describes the intersection of line m and line n is point W. Thus, the correct option is A.

Learn more about Line:

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Hey there! I think Nicole would be 28.

Answer:

1/100th of a dollar , the same value as a penny

Answer:

A) 250

B) 1250

Step-by-step explanation:

Amount = 125 x no. People

A) amount = 125 x 2 =250g pasta

B) amount = 125 x 10 =1250g pasta.

Hope this helped!

Answer:

3200000

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

A  has points ( -2,0) and (0,5) as points on the line

m = ( 5-0)/( 0 - -2)

     ( 5-0)/( 0 +2)

  = 5/2

The lines B and C are parallel so they have the same slope 5/2

Answer:

x=6

Step-by-step explanation:

1. First, distribute the numerator. That leaves you with:

[tex]\frac{6x-12}{12} =\frac{2x+2}{7}[/tex]

2. Now, cross multiply. You should have:

[tex]7(6x-12)=12(2x+2)[/tex]

3. Next, simplify and solve the equation for x. You should have:

[tex]7(6x-12)=12(2x+2)[/tex]

[tex]42x-84=24x+24\\42x=24x+108\\18x=108x=6[/tex]

Answer:

1.) 88

2.) 196

3.) 63

4.) 90

5.) 367.142857143

6.) 695. 2 repeating

7.) 109.285714286

8.) 63.5593220339

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

you would add -2/4 to both sides and subtract x from both sides to get 5x=1.5 which you can reduce to 0.3

Answer:

25 t-shirts and 35 hats were sold

Step-by-step explanation:

Here, we want to calculate the number of hats and the number of t-shirts sold.

Let the number of hats be h and the number of t-shirts be t

The sum of both is 60;

Mathematically;

h + t = 60 •••••••••••(i)

The total revenue from selling h hats at $12 per one is 12 * h = $12h

The total revenue from selling t t-shirts at $18 per one is 18 * t = $18t

So the addition of this gives the total;

12h + 18t = 870 ••••••••(ii)

From i, h = 60-t; substitute this into ii

12(60-t) + 18t = 870

720 -12t + 18t = 870

720 + 6t = 870

6t = 870 -720

6t = 150

t = 150/6

t = 25

From the substitution;

h = 60-t

h = 60-25

h = 35

Answer:

48 hats

Step-by-step explanation:

im not sure if this is the right answer but i hope this helps

Answer:

The minimum thickness of the book is 53.8mm

Step-by-step explanation:

Given units/terms

Solution:

(0.9mm)(2) + (0.13mm)(400) = 1.8 mm + 52.mm = 53.8mm

Answer:

min. thickness of the book is 53.8mm

Step-by-step explanation:

400 pages, each page thickness = 0.13mm

front and back cover thickness = 0.9mm

total thickness of the book = front + 400 pages + back cover

total = 0.9 + (400 x 0.13) + 0.9

total = 0.9 + 52 + 0.9

total = 53.8 mm

Answer:

You can buy approximately 6.6 gallons of milk.

Step-by-step explanation:

We can solve this problem by making a proportion:

4.61 gallons/$14.86 = x gallons/$21.32

By cross-multiplying, we get:

4.61 × 21.32 = 14.86x

98.29 = 14.86x

x = 6.6 gallons

Answer:

Step-by-step explanation:

[tex] \frac{1}{3} (6x - 15) = \frac{1}{2} (10x - 4)[/tex]

Expand the terms in the bracket

That's

[tex] \frac{1 }{3} \times 6x + \frac{1}{3} ( - 15) = \frac{1}{2} (10x) + \frac{1}{2} ( - 4) \\ 2x - 5 = 5x - 2[/tex]

Subtract 5x from both sides

[tex]2x - 5x - 5 = 5x - 5x - 2 \\ - 3x - 5 = - 2[/tex]

Add 5 to both sides

[tex] - 3x - 5 + 5 = - 2 + 5 \\ - 3x = 3[/tex]

Divide both sides by - 3

[tex] \frac{ - 3x}{ - 3} = \frac{3}{ - 3} [/tex]

We have the final answer as

Hope this helps you

For a 90 Degree rotation the original x value becomes the new y value and the new x value is the opposite of the original y value.

The answer would be (-6,-7)

Answer:

Begin at the point, draw a vertical line either up or down to the x-axis to get the x-coordinate.

Begin at the point, draw a horizontal line either to the left or right of the y-axis to get the y-coordinate.

Step-by-step explanation:

In a two-dimensional plane, coordinates of a point define its exact location. The coordinate plane has two axes that are perpendicular to each other which are known as the x and y axis.

To find out the coordinates of a point in the coordinate system, follow the following procedure.

Begin at the point, draw a vertical line either up or down to the x-axis to get the x-coordinate.

Begin at the point, draw a horizontal line either to the left or right of the y-axis to get the y-coordinate.

The x-coordinate and the y-coordinate determine the new coordinates of a point.

Answer:

false

Step-by-step explanation:

Answer: X is equal to either 0 or -42

Step-by-step explanation:

Answer:

$9.00

Step-by-step explanation:

0.75 times 12 equals 9

Answer:

the answer is they are both the same

Step-by-step explanation:

be i took the test

Answer: 68

Step-by-step explanation: 32 + 2=34 34*2 + 68 2 because a person naturaly has 2 feets  

Answer:

Step-by-step explanation:

The sequence above is an arithmetic sequence

So in order to find the common difference subtract the previous term from the next term

So we have

Taking 9.4 and 6

That's

9.4 - 6 = 3.4

Taking 12.8 and 9.4

12.8 - 9.4 = 3.4

Taking 16.2 and 12.8

16.2 - 12.8 = 3.4

Since the common difference is the same for any of the terms taken , the common difference is 3.4

Hope this helps you

Answer:

3.4

Step-by-step explanation:

Answer:

the answer is 48

but because there is -6 the answer will be -48