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balu736 [363]
1 year ago
8

Asap pls help and explain

Mathematics
1 answer:
eduard1 year ago
4 0

Answer:

the answer would be 90

Step-by-step explanation:

100 giants fills 5/8 (100/160) of the theater leaving 3/8 of the theater for the elves.

3/8 times 240 elves is 90 elves.

If there were 150 elves that would also be 5/8 filled plus the original 5/8 filled with 100 giants! Some elves might suffer!!!

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A cyclist travels 4 miles in 20 minutes. At this rate, how many miles does the cyclist travel in 30 minutes?​
marshall27 [118]

Answer:

6

Step-by-step explanation:

20 mins. divided by 4 is 1mi./5 minute

so 1 miles in 5 minute

30 minutes divided by 5 is 6

so 6 miles in 6 minutes

6 0
2 years ago
In the diagram, AC=BD=17 and BC=3. The length of segment AD is
Anastaziya [24]
The length of ad would also have to be the three also. This is logically because ac and bd would be the two going across making them equal. This meaning to connect the lines together if they were parallel bc and ad lengths would be equivalent.
7 0
1 year ago
Find the values for k so that the intersection of x = 2k and 3x + 2y = 12 lies in the first quadrant.
RUDIKE [14]

Answer:

0 < k < 2

Step-by-step explanation:

<u>In the first quadrant both of x and y get positive values, so </u>

  • x > 0 and y > 0
  • x = 2k, k > 0

<u>And replacing x with 2k in the second equation:</u>

  • 3x + 2y = 12
  • 3*2k + 2y = 12
  • 2y= 12 - 6k
  • y = 6 - 3k

<u>Since y > 0:</u>

  • 6 - 3k> 0
  • 2 - k > 0
  • k < 2

<u>Combining both k > 0 and k < 2, we get:</u>

  • 0 < k < 2
3 0
2 years ago
Read 2 more answers
What is the value of x
harkovskaia [24]
Answer: x=37.8, you can solve by writing a proportion

7 0
1 year ago
Read 2 more answers
Fertiliser is sold in 100kg bags labelled with the amount of nitrogen (N), phosphoric acid (P2O5), and potash (K2O) present. The
anzhelika [568]

Answer:

We need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.

Step-by-step explanation:

Let's first list the percentage compositions of each fertilizer type:

<u>Vigoro Ultra Turf:</u>

Nitrogen (N) = 29 kg

Phosphoric Acid (P2O5) = 3 kg

Potash (K2O) = 4 kg

<u>Parkers Premium</u>

Nitrogen (N) = 18 kg

Phosphoric Acid (P2O5) = 25 kg

Potash (K2O) = 6 kg

We can set up simultaneous equations to find out the amount of 100 kg bags of each fertilizer needed:

x = Vigoro Ultra turf (one bag)

y = Parkers Premium (one bag)

29x + 18y = 217   -Equation 1

3x + 25y = 115     -Equation 2

4x + 6y = 44        -Equation 3

Solving for x and y, we get:

x = 5

y = 4

This means we need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.

6 0
2 years ago
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