Subtitution .HELP ME

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:

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:

x =6

Step-by-step explanation:  Q is the midpoint of PR.

Therefore PQ = QR

3 x + 14 = 7 x -10

       -14          -14

3 x         = 7 x-24

-7x                 -7x

-4x     =      -24                             Divide both sides by -4

x = 6

The value of x for PQ = 3x + 14 and QR = 7x - 10 is 6 units.

What is midpoint of line segment?

The midpoint divides the line segment into two equal parts.

It is given that Q is the midpoint of PR which implies Q will divide PQ into two equal parts that is PQ (3x+14) equals QR (7x-10). now calculating x value  :

[tex]\begin{aligned}PQ&=QR\\3x+14&=7x-10\\7x-3x&=14+10\\4x&=24\\x&=6\end{aligned}[/tex]

Therefore, the value of x for PQ = 3x + 14 and QR = 7x - 10 is 6 units.

Read more about intersection at:

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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.

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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:

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:

false

Step-by-step explanation:

Answer: X is equal to either 0 or -42

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:

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

Answer:

9.3

Step-by-step explanation:

Step 1: Calculate. We calculate the square root of 87 to be: √87 = 9.32737905308882.

Step 2: Reduce. 9.32.

Step 3: Round. Round 9.32 so you only have one digit after the decimal point to get the answer: 9.3.

Answer:

The equation is;

T = 87.4 ± 1.5

Maximum value of T = 88.9 °F

Minimum value of T = 85.9 °F

Step-by-step explanation:

We are given the stated temperature as 87.4 °F

Now, we are told that this stated temperature differs from the actual temperature by no more than 1.5 degrees Fahrenheit.

Thus, if the actual temperature is T, it means that T should either be 1.5 more than 87.4 or 1.5 less than 87.4.

Thus the equation is;

87.4 ± 1.5 = T

So maximum value of T = 87.4 + 1.5 = 88.9 °F

While minimum value of T = 87.4 - 1.5 = 85.9 °F

Answer:

de ef     and  df

Step-by-step explanation:

Answer:

8.66 x 10^3

Step-by-step explanation:

8.66 * 1000 (10^3) = 8660

Answer:

If a = b and b = c, then a = c

Step-by-step explanation:

The transitive property of equality tells us that if we have two things that are equal to each other and the second thing is equal to a third thing, then the first thing is also equal to the third thing.

Answer:

If a = b and b = c, then a = c

Step-by-step explanation:

i got it right on a test

Hey there! I think Nicole would be 28.

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:

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:

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:

   A.  Step I

Step-by-step explanation:

Appropriate application of the distributive property would give ...

  x +2x -10 = 320 . . . . . . . does not match step I

Further solution steps would be ...

  3x -10 = 320

  3x = 330

  x = 110

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:

x=4

Step-by-step explanation:

18 = 3(3x − 6)

Divide each side by 3

18/3 = 3( 3x-6)/3

6 = 3x-6

Add 6 to each side

6+6 = 3x-6+6

12 = 3x

Divide by 3

12/3 = 3x/3

4 =x

Answer: 4 = x

Step-by-step explanation: To solve this equation, we start by

distributing the 3 through the parenthses on the right side.

3(3x) is 9x and 3(-6) is -18.

So our equation now reads 18 = 9x - 18.

Our next step is to get the x term by itself on the right side.

So we add 18 to both sides to get 36 = 9x.

Now divide both sides by 9 to get 4 = x.

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