There are 27 boys on the playground.
Step-by-step explanation:
No. of Pre-K children = 34
No. of kindergarten children = 29
Total no of children = 29+34 = 63
Ratio of boys to girls = 3:4
Total ratio = 3+4 = 7
Therefore,
boys proportion = 
Total number of boys = 
There are 27 boys on the playground.
Keywords: Proportion, division.
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Answer:
see explanation
Step-by-step explanation:
Using the tangent and sine ratios in the right triangle EFG
tan60° = 
= 
= 
( multiply both sides by EG )
EG × tan60° = 28 ( divide both sides by tan60° )
EG = 
≈ 16.2 in ( to the nearest tenth )
--------------------------------------------------------------
sin60° = 
= 
= 
( multiply both sides by EF )
EF × sin60° = 28 ( divide both sides by sin60° )
EF = 
≈ 32.3 in ( to the nearest tenth )
Answer:
the answers are : A , B , and E. i just took the assignment.
Step-by-step explanation:
Answer:
106
Step-by-step explanation:
85% of 125 is 106 so therefore you would need to answer 106 correct.
4 gallons of water is needed to dilute to a concentration of 10%.
<u>Step-by-step explanation:</u>
It is given that,
The 5 gallons of water contains 18% of acid solution.
Now, we are asked to find the gallons of water needed to dilute it to a concentration of 10% acid solution.
We obtain the equation by stating that the amount of acid 10% in the water must dilute up to 18%.
For this, x amount of water should be added.
Therefore, the equation is framed as,
⇒ 0.1 (x+5) = 5 (0.18)
⇒ 0.1x + 0.5 = 0.9
⇒ 0.1x = 0.9 - 0.5
⇒ x = 0.4 / 0.1
⇒ x = 4
∴ 4 gallons of water is needed to dilute to a concentration of 10%.
