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3 years ago

11

A balance scale shows that 12 + 5 = 17. If five units are removed from one side, what needs to be done to the other side to keep

the scale in balance?

1 answer:

DerKrebs [107]3 years ago

6 0

You would need to add 5 to the opposite side so the balance scale stays 17.

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What is the value of t=1 3(4 x (1/2) t-1)

Aliun [14]

Answer:

t = 13 over 25 or in alternate form its t = 0.52

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3 years ago

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FromTheMoon [43]

Question 5 is (-3,4)

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2 years ago

A. 11/1=165/h<br> B. 11/1=h/165<br> C. 132/12=h/165<br> D=12/132=165/h<br><br> plz help

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2 years ago

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

balandron [24]

Here you have 2 linear equations and are to solve this system. Both equations have already been solved for y, so you can set one of them = to the other one:

-2x+11 = -3x+21.

Then 3x-2x = 21 - 11, or x = 10 (answer)

Find y by subst. x = 10 into either of the given equations.

Solution is then (10, ? )

7 0

3 years ago

The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

The least number of items to produce is 41

8 0

2 years ago