3 years ago

Finding missing angles

Mathematics

1 answer:

hichkok12 [17]3 years ago

5 0

Meant to put the letter A

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What is the value of k? 1/2k-6=3/7k+4

siniylev [52]

$\dfrac{1}{2}k-6=\dfrac{3}{7}k+4\\\\\text{We have the denominators: 2 and 7.}\\\\LCM(2,\ 7)=14\\\\\text{Multiply both sides of the equation by 14}.\\\\14\cdot\dfrac{1}{2}k-14\cdot6=14\cdot\dfrac{3}{7}k+14\cdot4\\\\7k-84=2\cdot3k+56\qquad\text{add 84 to both sides}\\\\7k=6k+140\qquad\text{subtract 6k from both sides}\\\\\boxed{k=140}$

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At a local preschool there is a ratio of 3 boys to every 4 girls if there are 245 total preschoolers enrolled how many boys

JulsSmile [24]

Answer:

The total number of boys = 105

Step-by-step explanation:

The ratio of boys to girls = 3: 4

⇒ For every 3 boys, there are 4 girls.

Now, total number of students = 245

Let the common ratio of boys to girls is k.

So, 3k + 4k = 245

or , 7k = 245

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⇒ k = 35

Hence, the number of boys = 3k = 3 x 35 = 105

and number of girls = 4k = 4 x 35 = 140

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Option 2 - it is decreasing

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