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Alecsey [184]
3 years ago
7

HELP HELP HELP PLEASE

Mathematics
2 answers:
Roman55 [17]3 years ago
7 0

<em>x - 6 = - 3 + 8</em>

<em>x = 5 + 6</em>

<em>x = 11</em>

<em />

<em>3w - 8w = 35</em>

<em>- 5w = 35</em>

<em>5w = - 35</em>

<em>w = - 35 : 5</em>

<em>w = - 7</em>

<em />

<em>3(3x - 3) = 10x</em>

<em>9x - 9 = 10x</em>

<em>- 9 = 10x - 9x</em>

<em>x = - 9</em>

Tatiana [17]3 years ago
3 0

Answer:

1. x = 11,

2. w = -7,

3. x = -5

4. x = -5

5. x = -9

Step-by-step explanation:

1. x-6 = -3+8

x - 6 = 8 -3

x - 6 = 5

Adding 6 to both sides:

x - 6 + 6 = 5 + 6

x = 11

2. 3w - 8w = 35

3w - 8w = 35

-5w  = 35

Divide both sides by -5

-5w/-5 = 35/-5

w = -7

3. - 4 x - 4 x = 44 - 4

- 4 x - 4 x = 44 - 4

-8x = 40

Divide both sides by -8

-8x/-8 = 40/-8

x = -5

4. 5 -8 = 3x +2 - 2x

Collecting like terms and rearranging equation

3x - 2x = 5 - 8 - 2

x = 5 - 10

x = -5

5. 3(3x - 3) = 10x

3(3x - 3) = 10x

Expanding and removing parenthesis

9x - 9 = 10x

Collecting like terms and rearranging equation

10x - 9x = -9

x = -9

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earnstyle [38]

Answer:

<u>20.4minutes</u>

Step-by-step explanation:

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8 0
3 years ago
Ind an equation for the nth term of the arithmetic sequence.<br><br> a14 = -33, a15 = 9
marin [14]

Answer:

a_n=42n-621

Step-by-step explanation:

This is arithmetic sequence so you should go to linear equations in your head.

Think of the question asking you to find the equation of line going through the points:

(14,-33) and (15,9).

First, let's find the slope.

You need to compute y's change over x's change.

The way I like to do that is line up the points vertically, subtract them, and then put 2nd difference over first.

Like this:

(  15  ,   9)

-(  14  ,  -33)

------------------

   1         42

So the slope is 42/1=42.

(The slope is our common difference.)

Now point slope form is:

y-y1=m(x-x1) where m is the slope and (x1,y1) is a point you know on the line.

So we have m=42 and (x1,y1)=(15,9).  (You could have chose the other point.)

y-9=42(x-15)

I'm going to put in slope-intercept form.  Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

y-9=42(x-15)

Solve for y by adding 9 on both sides:

y=42(x-15)+9

Distribute 42 to terms in the ( ) :

y=42x-42(15)+9

y=42x-630+9

y=42x-621

So we can which back to n now:

a_n=42n-621

5 0
3 years ago
How many degrees is angle b?
slamgirl [31]

Answer:

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Step-by-step explanation:

A full circle is comprised of 360 degrees, so 360-315=45 degrees.

6 0
3 years ago
Read 2 more answers
a plumber worked at a house on two diffrent days. on the first day, the plumber worked for 5/8 of an hour, on the second day the
Mademuasel [1]

Answer: The plumber worked 7/8 hours in total.

Step-by-step explanation:

5 0
3 years ago
A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat
Nesterboy [21]

Complete Question

A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.

Write and solve an equation to find the weights of the cat and the dog.

Answer:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

Step-by-step explanation:

Let's represent:

Weight of cat = x

Weight of Dog = y

A dog weighs 2 pounds less than 3 times the weight of a cat.

y = 3x - 2........ Equation 1

The dog weighs twenty two more pounds than the cat

y = x + 22....... Equation 2

The equation is given as:

y = y

3x - 2 = x + 22

Collect like terms

3x - x = 22 + 2

2x = 24

x = 24/2

x = 12 pounds

Solving for y using any of the equations:

y = 3x - 2

y = 3 × 12 - 2

y = 36 - 2

y = 34 pounds

Therefore:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

6 0
3 years ago
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