Check all that apply. pi/4 is the reference angle for:

Caroline is making some table decorations.

eduard

Answer:

there are 8 candles

Step-by-step explanation:

(i) In order to obtain an equal amount of candle to candle holders Caroline has to buy enough packs to obtain a 1:1 ratio.

Therefore to obtain a 1:1 ratio:

=30 candles/18 candle holders * (18/30)

Therefore she needs to buy 18 packs of candles and 30 packs of candle holders to have exactly the same number of candles and holders

(ii) Caroline can make = 30*18 = 540 table decorations

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5 0

3 years ago

I'm down to talk........................................................................ sorry it says i have to make it 20 char

Y_Kistochka [10]

Answer:

hi

how are u doing i had a great day i'm livin my best life but enough about me how are you you happy do you feel your best if you dont, say to yourself i am the best and i will have a good day no matter what anyone says. :) a little inspiration

Step-by-step explanation:

6 0

3 years ago

A board is 29ft long. The second piece is 4 times longer than the first. The third piece is 3 times longer than the second. What

Nady [450]

Answer:

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

Step-by-step explanation:

As given, Total length of the board = 29 ft

Let the board is divided into 3 pieces

Suppose that the length of first piece = x ft

As given, the second piece is 4 times longer than the first

⇒Length of second piece = 4x ft

Also given, the third piece is 3 times longer than the second.

⇒Length of third piece = 3(4x) = 12x ft

Now,

As total length of board = 29

⇒ x + 4x + 12x = 29

⇒ 17x = 29

⇒ x = $\frac{29}{17}$ = 1.7058823 ft

∴ we get

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

5 0

3 years ago

Ralph pays his workers $100 each, and labor is the only variable cost. At a quantity of 2000 chickens, how many workers does he

pshichka [43]

Ralph hires 8 workers

What is variable cost ?

Variable costs are expenses that alter as the volume of a good or service a company produces fluctuates. Marginal costs multiplied by the number of units produced make up variable costs. They can be regarded as typical expenses as well. Total cost is divided into two parts: fixed costs and variable costs.

Workers paid = $100

Assuming $1600 is given as a Total cost for the 2000 quantity for chicken and Fixed cost is $800

Total cost = $1600 out of which $800 is the fixed cost

Variable cost = Total cost - Fixed cost

= 1600 - 800

= 800

Numbers of workers hired = Variable cost / Workers pay

Numbers of workers hired = 800 / 100

Numbers of workers hired = 8

Therefore, the number of workers that Ralph hires is 8 workers

To learn more about variable cost from the given link

brainly.com/question/14313017

#SPJ4

6 0

1 year ago

How do i solve this equation: 4/5a + 3 = 1/3a - 8

DENIUS [597]

You have to $subtract$ by $\frac{1}{3}a$ on $EACH$ of the $sides$ you're $working$ with!

$\frac{4}{5}a + 3 - \frac{1}{3}a - 8 - \frac{1}{3}a$

Which $gives$ us: $\frac{7}{15}a + 3 = -8$

$Now,$ that we got these $steps$ out of the way, let's $subtract$ $3$ from the sides you're working with!

$\frac{7}{15}a + 3 - 3 \\ = -8 -3$

$\frac{7}{15}(a) = -11$

We have gotten these $steps$ out of the way now lets $multiply$ by $\frac{15}{7}$ on your $sides$ because, it is the $reciprocal$ of $\frac{7}{15}$

So, $\frac{15}{7}( \frac{7}{15}a ) = \frac{15}{7} (-11)$

Cancel out: $\frac{15}{7}( \frac{7}{15} )$ because, it equals to: $1$

$\frac{15}{7}(-11) = \frac{-165}{7}$

Therefore, your $answer$ is: $\frac{-165}{7}$ $aka$ $23\frac{4}{7}$

Good luck on your assignment and enjoy your day

~ $MeIsKaitlyn:)$

5 0

3 years ago