What is 8 x 1 + 9 x (1/10) + 6 x (1/100) + 2 x (1/1000)?

Answer:

We want to write the cost equation for the company.

First, we know that:

It cost $20 per box.

There is a fixed cost of $2300.

Then the only variable will be the number of boxes that they make.

Where the number of boxes is the independent variable (the company can decide the number of boxes that they make) and the dependent variable will be the cost (the cost changes as the number of boxes change).

Then we can write the cost equation as:

C(x) = $20*x + $2300.

Where x is our variable, the number of boxes made by the company.

Sum of three terms in a GP = 7

Product of the numbers = 8

G.P

Let the three numbers be a/r , a , ar where a is the first term and r is the common ratio.

So,

⟹ a/r + a + ar = 7 -- equation (1)

And,

⟹ (a/r) * a * ar = 8

⟹ a³ = 8

⟹ a = ³√8

⟹ a = 2

Substitute the value a in equation (1).

⟹ 2/r + 2 + 2r = 7

⟹ (2 + 2r + 2r²)/r = 7

⟹ 2 + 2r + 2r² = 7r

⟹ 2r² + 2r - 7r + 2 = 0

⟹ 2r² - 5r + 2 = 0

⟹ 2r² - 4r - r + 2 = 0

⟹ 2r(r - 2) - 1 (r - 2) = 0

⟹ (2r - 1)(r - 2) = 0

★ 2r - 1 = 0

⟹ 2r = 1

⟹ r = 1/2

★ r - 2 = 0

⟹ r = 2

If r = 1/2 ;

a/r = 2/(1/2) = 2 * 2 = 4

a = 2

ar = 2 * 1/2 = 1

If r = 2 ;

a/r = 2/2 = 1

a = 2

ar = 2 * 2 = 4

∴ Required GP is 4 , 2 , 1 or 1 , 2 , 4.

I hope it will help you.

Regards.

Step-by-step explanation:

Assume that the 4 terms are a/r, a , ar, ar2.

Product of first 3 terms = a3 =8

=> a=2

Sum of last 3 terms :

a(1 + r + r2) = 14

=> r2 + r - 6 = 0

Solving the above equation r= -3 or 2

So the terms are

-2/3, 2, -6, 18

Or

1, 2, 4, 8

Answer:

1/24

Step-by-step explanation:

(-5/8)+2/3

(-15/24)+16/24

1/24

Answer:

0

Step-by-step explanation:

Answer: WE create 0

Step-by-step explanation: SINCE 5 and -5 are opposites they cancel out to 0.

9514 1404 393

Answer:

Step-by-step explanation:

The function will have a zero where the numerator is zero:

  5x = 0

  x = 0 . . . . divide by 5

The zero of the function is x=0.

__

The function will have vertical asymptotes where the denominator is zero:

  x^2 -25 = 0

  x^2 = 25 . . . . add 25

  x = ±5 . . . . . . take the square root

The function will have vertical asymptotes at x = -5 and x = 5.

__

When x gets large, the magnitude of the function is approximately ...

  5x/x^2 = 5/x

As x approaches infinity, this value approaches zero.

The function will have a horizontal asymptote at y = 0.

Answer:

x = 8 and y = 8

Step-by-step explanation:

Giving equations:

     x + y  = 16

     x - y = 0

Unknown:

Find the values of x and y= ?

Solution:

      x + y  = 16  ---- (i)

      x - y = 0   ------(ii)

Add i and ii:

      2x  = 16

         x = 8

Subtract i and ii;

         2y = 16

            y = 8

Answer

25,20,15,10,5,0

Answer:

$430

Step-by-step explanation:

Total hours worked by Michael = 42 hours

hours worked by Michael in excess of 40 hour = 42 - 40 = 2 hour

thus,

Michael worked 2 hours overtime.

money paid for working 1 hour in regular pay = $10.00

money paid for working 40 hour in regular pay = $10.00*40 = $400

lets calculate money paid to him for over time

given

Michael is paid 1 1/2 times his regular pay for overtime hours

Money paid for overtime for 1 hour =  1 1/2 *money paid for working 1 hour in regular pay

Money paid for overtime for 1 hour = 3/2 *$10 = $15

Money paid for 2 hours work overtime = $15*2 = $30

Thus,

gross pay for 42 hours work for Michael = $400 + $30 = $430

Answer:

12 species

Step-by-step explanation:

37-N=25

working backwards

25-37=N

=25-37=12

Answer:

7x - 5 = 42

Step-by-step explanation: Hope this helps you!

Answer:

y = -5x + 35.

Step-by-step explanation:

y = -5x + 7

The slope for that y = -5x+7 is -5. Parallel lines have the same slopes which means the line parallel to that one will also have a slope of -5.

So now let's use the slope intercept form to create the equation that is parallel to the above equation.

y = mx + b

Since slope (m) is -5, we can plug it into the equation.

y = -5x + b

Now let's use the point (7,0) to find the y-intercept (b). We can do that by plugging the numbers in (7 for x and 0 for y).

y = -5x + b

0 = -5(7) + b

0 = -35 + b

b = 35

Now let's plug the y-intercept back into the equation.

y = -5x + 35

Therefore, the equation is y = -5x + 35.

Hope this helped! If not, please let me know! <3

Answer:

120 centimeters cubed

Step-by-step explanation:

you dont even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)

Answer:

120

Step-by-step explanation:

I know this question is old but why not

Answer:

x=±√130+12

I believe :-)

Answer:I think it’s 75

Step-by-step explanation:

Answer:

y=[tex]\frac{-7}{2}[/tex]x-7

Step-by-step explanation:

you didnt put a graph so this is the linear equation

Step-by-step explanation:

The next cup will always have 2 more than the previous one. Continue the pattern of adding two seeds to each cup until you reach the 24th cup like so:

#s on left side = # of seed , #s on right side = # cup

6 | 3    8 | 4      10 | 5      12 | 6     14 | 7    16 | 8     18 | 9          20 | 10        22 | 11

24 | 12     26 | 13       28 | 14      30 | 15     32 | 16    34 | 17    36 | 18     38 | 19

40 | 20      42 | 21         44 | 22     46 | 23    48 | 24

What you want to know is the number of TOTAL SEEDS NEEDED TO PLAY THIS GAME. NOT how many seeds will be in the 24th cup. To find the TOTAL you need to add 2 + 4 + 6 and so on like so:

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 = 600 TOTAL SEEDS TO PLAY THIS GAME. (this is your answer)

Answer:

The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon.

Explanation:

The inequality corresponds closely to the cost of 10 shoes being less than cost of 4 shoes with $2 off coupon. Closely because there is an error here the constant $2 off coupon should mean it is reducing the price of 4 shoes and therefore a minus sign should come before it, equation should be 10x<4x-2.

We can see that X is the price per shoe here

Answer:

1. Reflexive Property of equality

2. Addition Property of equality

3. Subsitution

4. Definition of Congruence

5. Transitive Property

6. Division of equality

7. Segment Addition postulate

8. Subtraction of equality

Step-by-step explanation:

Answer:

[tex]2 \sqrt{5} [/tex]

decimal form: 4.47213595

Answer: 395 km

lol they want it to be 200 characters long what I look like ? Lol

Answer:

42/5

Step-by-step explanation:

If you multiply the denominator (5) by the whole number you would get 40, so then, you add this to the numerator (2), you would get 42 after. So the answer would be 42/5 (you keep the denominator). You can trust my answer because I'm n middle school and this was in like elementary school :P

Answer: m< MIH is 34°

M< AVM is 70°

And the angle of the obtuse angle formed at the intersection of AV and HI is 104°

Step-by-step explanation: starting with m<MIH, AH is parallel to MI, so that would make the same angle H has the same for I. (34°)

Next is m<AVM. The angle of m<LAH is 110°. So the angle of m<HAV (because it's supplementary of it) is 70 (110+70=180). Which makes m<AVM 70° since it's vertical to each other.

Since we got those answers, the next one you just plug it in, and the answer would be 104°

Answer:

1.59

Step-by-step explanation:

Divide 2,787 by 1,750

Answer: C

i hope this helps

Answer:

1/11x

Step-by-step explanation:

Answer: it is [tex]\frac{1}{11}x[/tex] or [tex]\frac{x}{11}[/tex]

Answer:

x=5

Step-by-step explanation:

4x-9=29

4x=29-9

4x=20

x=20/4

x=5

Answer:

10-4x

Step-by-step explanation:

Answer: Answer: 98

6(3) + 10(8) = 98

Step-by-step explanation:

Answer:

0.75 or 3/4

Step-by-step explanation:

multiply each by 3 equal full cup of milk and 3/4 of water

Answer the answer is 83

Step-by-step explanation:

Step-by-step explanation:

sorry for the rough handwriting but that's that