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Step-by-step explanation:

3.f(-4)-3.g(-2)

3 [f(-4) - g(-2)]

Answer:

The average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.

Step-by-step explanation:

We have:

- Distance from Pluto to the Sun ([tex]d_{PS}[/tex]) = 6x10⁹ km

- Distance from Mars to the Sun ([tex]d_{MS}[/tex]) = 2x10⁸ km

Now, we can find how many times greater is [tex]d_{PS}[/tex] than [tex]d_{MS}[/tex] as follows:

[tex] \frac{d_{PS}}{d_{MS}} = \frac{6 \cdot 10^{9} km}{2 \cdot 10^{8} km} = 30 [/tex]

Therefore, the average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.

I hope it helps you!                                              

Answer:

let x and be the two integers

x+y=-112

if one of them is -109

let x be one of the that is substitute-109 to the above equation

-109+y=-112

collect like terms to the left hand side.

-109+112=-y

3=-y

move the sigh to the constant

y=-3

Answer:

0

Step-by-step explanation:

First, you have 3x and subtract 18x from it. This gives you -15x.

Then you have positive 26x, so you add 26x onto -15x.

After doing so, you have a positive 11x.

Now you need to subtract 11x from 11x.

Your final answer is 0! (No need to put x since it is just zero.)

Have a nice day and mark brainliest if you can, I would appreciate it tons!

Answer:

Step-by-step explanation:

 Note: The unit of the width in the question is suppose to be in cm

     "with length 18cm and width 10m"====>>> "with length 18m and width 10m"

so given that the dimension of the room is

18mx10m

This is a reduction process since we aim to transfer the dimension to paper

we are reducing the dimension by 2

and 1cm---2m

since 2m will represent 1cm

then the dimension will be

9cm and 5cm

f(x) = ax² + bx + c

f(1) = 6

f(2) = 11

f(3) = 18

value of a,b,c​

Substitute x = 1 , 2 , 3 in the given polynomial.

★ f(1) = a(1)² + b(1) + c

⟹ 6 = a + b + c -- equation (1)

Similarly,

★ f(2) = a(2)² + b(2) + c

⟹ 11 = 4a + 2b + c -- equation (2)

★ f(3) = a(3)² + b(3) + c

⟹ 18 = 9a + 3b + c -- equation (3)

Subtract equation (1) from (2).

⟹ 4a + 2b + c - (a + b + c) = 11 - 6

⟹ 4a + 2b + c - a - b - c = 5

⟹ 3a + b = 5 -- equation (4).

From equation (3) ,

⟹ 18 - c = 9a + 3b

⟹ 18 - c = 3(3a + b)

Substitute the value of 3a + b from equation (4).

⟹ 18 - c = 3 * 5

⟹ 18 - 15 = c

⟹ 3 = c

substitute the value of c in equation (1).

⟹  6 = a + b + 3

⟹ 6 - 3 = a + b

⟹ 3 = a + b -- equation (5)

Subtract equation (5) from equation (4).

⟹ 3a + b - (a + b) = 5 - 3

⟹ 3a + b - a - b = 2

⟹ 2a = 2

⟹ a = 1

Substitute a value in equation (5).

⟹ 1 + b = 3

⟹ b = 3 - 1

⟹ b = 2

Therefore,

a = 1

b = 2

c = 3.

I hope it will help you.

Regards.

Answer:

45 pizzas

Step-by-step explanation:

She has to feed a crowd fifteen times bigger

Step-by-step explanation:

520 calories

15 mins = 120 calories

65 mins = 65/15 × 120

= 520 calories

Answer:

105miles

Step-by-step explanation:

If 8km = 5miles

Then the number of miles between the two towns = 280/8 × 5

= 35 × 5

= 105miles

Answer:

2

Step-by-step explanation:

Answer:

B. 2/3

Step-by-step explanation:

The equation for area of a triangle is A=1/2bh

so we can plug in what were given

2/5 =1/2(6/5)b now we solve for b

2/5=6/10 b

2/5 divided by 6/10 =b

2/5 x 10/6 =b

4/6=b

2/3=b

Answer:

x=7

Step-by-step explanation:

direct variation is in the form y=kx

65 = k 13

by dividing both sides be 13, we see that 5 = k

thus, we can then take the next situation 35 = 5x

dividing both sides by 5 brings us to 7 = x

Answer:

The real answer is -17, do the math.

Step-by-step explanation:

28 - 45= -17

28 + 17 = 45

45 - 28 = 17

Answer:

The correct option is;

a) It moves five places to the right

Step-by-step explanation:

Multiplying a whole number by 10 raised to a given (positive whole number) power, involves the shifting of the positioning of the decimal places to the right, depending on the value of the positive whole number power to which the 10 is raised

Similarly, multiplying a whole number by 10 raised to a given (negative whole number) power, involves the shifting of the positioning of the decimal places to the left, depending on the value of the negative whole number power to which the 10 is raised.  

The reason is because, the number base generally used for arithmetic is in base 10 and multiplying or dividing by 10 is what is required to change a number's place value

Therefore, multiplying a whole number by 10 raised to the 5th power (10⁵) requires shifting the decimal place 5 places to the right

Example:

x.0 × 10⁵ = x00000.0

Where, x is a whole number.

Answer:

Probably 169

Step-by-step explanation:

I divided 222 by 2 and got 111 so i added 58 and got 169

111+58=169

If im incorrect please correct me so i can learn as well :D

Answer:

17in, 49in, 35in

Step-by-step explanation:

I did this in my RSM homwork and it is correct.

First, I added the two inches shorter to the 101, then subtracted 1 longer and got 102.

then divide 102 by how many second lengths, 6. so 102 ÷ 6 = 17

17 is the second length.

3x17-2=49 (another length)

2x17+1=35 (last length)

and there is your answer!

First side : 49

Second side : 17

Third side : 35

If triangle has sides a, b, c , then the perimeter of that triangle will be P= a +b +c.

Now, according to the question

Let  second side be (b) = x unit

then, First side will be  (a)= 3x-2 unit

and Third side will be  (c)= 2x + 1 unit

since , perimeter is 101

P = a + b + c

x + 3x -2 + 2x + 1 = 101

6x - 1 = 101

x= 17

hence , b = 17 unit

a= 3*17 - 2 =49 unit

c = 2*17 +1 = 35 unit

Lets learn more about perimeter of a triangle

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Sum of 8th & 4th terms of an AP = 24

Sum of 6th & 10th terms = 44

A.P.

We know that,

nth term of an AP = a + (n - 1)d

Hence,

⟹ a + (8 - 1)d + a + (4 - 1)d = 24

⟹ a + 7d + a + 3d = 24

⟹ 2a + 10d = 24 -- equation (1)

Similarly,

⟹ a + 5d + a + 9d = 44

⟹ 2a + 14d = 44 -- equation (2)

Subtract equation (1) from (2).

⟹ 2a + 14d - (2a + 10d) = 44 - 24

⟹ 2a + 14d - 2a - 10d = 20

⟹ 4d = 20

⟹ d = 20/4

⟹ d = 5

Substitute the value of d in equation (1).

⟹ 2a + 10(5) = 24

⟹ 2a = 24 - 50

⟹ 2a = 24 - 50

⟹ 2a = - 26

⟹ a = - 26/2

⟹ a = - 13

We know,

General form of an AP is a , a + d , a + 2d...

Hence,

⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...

⟹ required AP = - 13 , - 8 , - 3....

I hope it will help you.

Regards.

Answer:

0.50%

Step-by-step explanation:

First, let's find the amount of money Troy charges per hour.

$30 / 1.5hrs = $20 / hr

d = $20h

A is the correct answer choice.

Answer:

880,000

Step-by-step explanation:

Move the decimal in 8.8 five places to the right.

Answer:306 miles

Step-by-step explanation:

C

Because it will equal 5,260 but all the other are bigger

Answer:

a)$ 11.75

b) $ 129.25

Step-by-step explanation:

Dylan and his friends are going into a bakery.

Each cookie costs $0.50 and each brownie costs $2.25?

a) How much would it cost to buy 1 cookie and 5 brownies

1 × $0.50 + 5 × $2.25

= $0.50 + 11.25

= $ 11.75

b) How much would it cost to buy 11 cookies and 55 brownies

11 × $0.50 + 55 × $2.25

= $5.5 + $123.75

= $ 129.25

Answer:

The answer to your problem is negative 9

Answer:

n=12

Hope this helps!!!!!

A relation between a collection of inputs and outputs exists comprehended as a function.

If the equation be 12x + 8y = 240 then the value of y exists  30 - (12x/8).

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A relation between a collection of inputs and outputs exists comprehended as a function.

Let the equation be 12x + 8y = 240

8y = 240 - 12x

simplifying the above equation, we get

y = (240 - 12x) / 8

y = 30 - (12x/8)

Therefore, the value of y = 30 - (12x/8).

To learn more about function refer to:

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