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Arisa [49]
3 years ago
6

The ratio of managers to workers at a company is 3 to 11. There are 42 managers. The picnic area for the annual summer picnic ca

n hold 200 people. Will they have enough room?
Mathematics
1 answer:
Effectus [21]3 years ago
7 0
The answer is yes and this is how you figure it out. First, you take 42 and divide it by 3 to figure out how much times it takes for the managers to fill up. It will be 14. Then take the 11 workers from the ratio and multiply it times 14. This is 154. After that, you add 154 plus 42 and the answer is 196 which is less than 200.
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Solution set is(answer)................
kirill [66]
<h3>The solution is x = 27</h3>

To undo a log, you raise both sides as exponents. This will cancel out the log on the left side. On the right side you'll have 6^2 turn into 36.

So you should end up with x+9 = 36 after you perform this step. Afterwards, subtract 9 from both sides to end up with x = 27.

4 0
3 years ago
Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​
Kitty [74]
<h3>Answer:</h3>

1.9

Step-by-step explanation:

<h3>The above is direct and inverse variation.</h3>

A = kB/C -----------(1)

A=12

B = 3

C= 2

substitute A, B and C into equation (1).

12 = K × 3/2

12 = 3k/2

12×2 = 3k

3K = 24

dividing bothsides by 3

3K/3 = 24/3

K = 8

substitute K = 8 into equation (1)

A = 8B /C --------------(2)

Equation (2) is the equation connecting

A,B and C.

Finding B when A = 10 and C = 1.5

10 = 8B / 1.5

10× 1.5 = 8B

15 = 8B

Dividing bothsides by 8 :

B = 15/8

B = 1.875

B = 1. 9 ( approximately)

6 0
2 years ago
What coordinate is the dot on?
vodka [1.7K]
4,3 x is the first number then y
7 0
3 years ago
Fill in the blank to make the fractions equivalent.<br><br> 8/12 = _/3
Vika [28.1K]
8/12 is equal to 2/3 because 2 x 4 and 3 x 4 equals 8/12
7 0
3 years ago
For a special order, The ABC company manufactured 400 shirts. Sweatshirts were priced at $35 each and T-shirts at $25 each. The
hodyreva [135]

Answer:

Thy bought 150 Sweatshirts (x) and 250 tshirts (y)

Step-by-step explanation:

35x + 25y = 11500

x + y = 400

-25 (x + y = 400) Multiply by -25 to get the y's to disappear when you add the two equations together

-25x - 25y = 10000

<u> 35x + 25y = 11500   </u>

10x =1500

x = 150

Plug 150 in either equation for x to find y

150 + y = 400

y = 250

6 0
3 years ago
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