rewrite expression as a single power. 5^3/5^6

Answer: x=-21/2

Step-by-step explanation:

1

2

−

1

⋅

1

3

Answer:

x=27/2

Step-by-step explanation:

1/2-1/3x=-4

subtract 1/2 from both sides

1/2+-1/3x -1/2=-4 -1/2

Group like terms

-1/3 ⋅ x +1/2+(-1/2)=-4 -1/2

Combine the fractions

-1/3 ⋅ x+0=-4 -1/2

Convert the integer into a fraction

-1/3 ⋅ x=-8/2 -1/2

Combine.

-1/3 ⋅ x= -9/2

Isolate the x:

-1/3x ⋅ 3/-1= -9/2 ⋅ 3/-1

1x=-9/2 ⋅ 3/-1

x= -9 ⋅ -3/2

x=27/2 as your answer

Answer:

He needs 8

Step-by-step explanation:

40 - 20 = 20

2.5 x 8 - 20

aaden needs to visit the movies 8 more times

Answer:

8

Step-by-step explanation:

20+2.5x=40

x equal the number of visits adam need to make to earn a free movie ticket

2.5x=40-20

2.5x=20

x= 20/2.5

x=8

Answer:

it's A

Step-by-step explanation:

yeah-ya ............... right?

Answer:

2. 0.93

3. 1.13

Step-by-step explanation:

2. 0.93

decreasing means - to the 100%

3. 1.13

increasing means + to 100%

The formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t

Since the alternating current i in amperes after t seconds is i = 3(sin150)t.

We want to write 150 as the sum of two angles measures.

So, 150 = 90 + 60.

So, the current i = 3(sin150)t

i = 3[sin(90 + 60)]t

So, the formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t

Learn more about sum of two angles here:

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Answer:

Step-by-step explanation:

6xy^3

Answer: As x increases, the slope of the graph increases.

if any doubt leave a comment

The equation to represent the problem is written as

$456.50 = 3.5x + $159

the cost of the labor per hour is $85.

Let x be the cost of the labor per hour.

The technician worked on the computer for 3.5 hours, so the labor cost would be 3.5x.

The total cost, including the labor and parts, was $456.50.

So, we can set up an equation to represent the total cost:

Total cost = Labor cost + Parts cost

$456.50 = 3.5x + $159

Solving for x:

Subtract $159 from both sides:

$456.50 - $159 = 3.5x

$297.50 = 3.5x

Finally, divide both sides by 3.5 to find the value of x:

x = $297.50 / 3.5

x = $85

Therefore, the cost of the labor per hour is $85.

Learn more about writing equation

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Answer:

y=3x-3

Step-by-step explanation:

slope = change in y/change in x

slope = 3/1 = 3

y-intercept = y value when x=0

 go 3u left, 3x3 = 9 so 9u down

 (0,-3)

slope = m = 3

y-int = b = -3

y=mx+b

y=3x-3

Answer:

His total distance is 149 miles.

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the straight road from cannon falls to austin.  Then add that value with 42 and 45.

Answer:

The answer is $20.75

A dog: 40$

2: $37.25

3: $34.50

4: $31.75

5: $29

6: $26.25

7: $23.50

8: $ 20.75

Step-by-step explanation:

Minus $2.75 is the pattern

Answer:

$ 59.25

Step-by-step explanation:

The given rates form an AP (Arithmetic Progression).

Let the cost of walking 1 dog be taken as the first term

and,

cost of walking 2 dogs as second term,

we notice that the price per dog is decreasing by 2.75 $ each time the number of dogs is increasing by 1.

So, it's safe to say that

In the AP:

First term is $ 40

Common difference is $ 2.75

Finding the charge to walk each of the eight dogs is like finding the 8th term of the given Series.

Formula for n-th term of a depreciating AP in terms of common difference(d) and first term(a):

[tex] \boxed{ \mathsf{a _{n} = a - (n - 1)d}}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - (8 - 1) \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 7 \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 19.25}[/tex]

[tex] \implies \mathsf{a _{8} = \underline{20.75}}[/tex]

Hence, the charge to walk each of the eight dogs is $ 20.75

Answer:

y=-2x+4

Step-by-step explanation:

equation: y-y1=m(x-x1)

x1=0,y1=4,m=-2

y-4=-2(x-0)

y-4=-2x

y=-2x+4

Answer:60

Step-by-step explanation:

plz like

Answer:

y-9 = -4(x+2)

Step-by-step explanation:

-

Hope that helps

Answer:

33% of the marbles were red

Answer:

B

Step-by-step explanation:

A does not represent a function because the x-value of 3 appears twice, and by the defenition of a function, the x-value cannot appear twice for it to be considered a function. B could be a function because the x-values are not repeated.

Therefore the answer is B, only B is a function.

Answer:

$41.78

Step-by-step explanation:

tax is 4.5% on top of original price of 39.98

so multiplying 39.98 by 1.045 gives us 41.78

you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included

Answer:

7,308,630

Step-by-step explanation:

Calculated it.

A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

Let’s remember what a linear function is. A linear function has a set amount of growth. In this case, it will grow two feet. The other answers are exponential functions. They aren’t growing the exact same amount each time, but a percentage.

Hope this helps!

Answer: D

Step-by-step explanation:

Answer:

10/1 or 10

Step-by-step ex planation:

The rate of change is just a fancy word for slope!

To find the slope of this line I found two points of the graph that were easy to determine.  Slope = rise/run

which is this case was rise 10 because the point went from 20 to 30 and the run being 1 because it was going from 1 to 2

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning from my mistakes:)

Answer:

10. y degree = 102 degree

11. x degree = 103 degree

Step-by-step explanation:

The formula to calculate the sum of the interior range of polygons is (n-2) * 180.

With n being the number of sides.

From that sum, you can then deduce the angles of y or x, by substracting the other angles.

10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree

y = 360 - 120 - 85 - 53 = 102 degree

11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree

x = 540 - 117 - 100 - 105 - 115 = 103 degree

.b- 15 = -12

b = 15 - 12

b = 3

. x - 5 = 7

x = 7 + 5

x = 12

. r + 6 = 11

r = 11 - 6

r = 5

. v/15 = 15

v = 15 × 15

v = 225

Answer:

3. b = 3

5. x = 12

7. r = 5

9. v = -225

Step-by-step explanation:

3. b - 15 = -12  

To get b by itself we have to add 15 to both sides.

b = 15-12

b = 3

5. x-5 = 7

To get x by itself we have to add 5 to both sides.

x = 5+7

x = 12

7. r + 6 = 11

To get r by itself we have to subtract 6 to both sides.

r = 11-6

r = 5

9. [tex]\frac{v}{15}[/tex] = -15

To get v by itself we have to multiply [tex]\frac{v}{15}[/tex] by its opposite reciprocal which is [tex]\frac{15}{1}[/tex]

v = -15(15)

v = -225

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

A

Step-by-step explanation:

Yes

Answer:

Marco is 21

Step-by-step explanation:

Let the sister's age = x

Marco's age = 2*x - 5

x + 2x - 5 + 14 = 48            Combine the left side of the equation.

3x + 9 = 48                         Subtract 9 from both sides

3x = 48 - 9

3x = 39                               Divide by 3

x = 39/3

x = 13

So the sister is 13

Marco = 2x - 5 = 2*13 - 5

Marco = 21