Find the value of x,y, and z. Simplify the radical
1 answer:
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The ratios 84/105 and 128/160 are proportional
<u>Solution:</u>
Given, two ratios are and
We have to give two different reasons to support the answer.
<em><u>Reason 1:</u></em>
Now, we know that, numerators and denominators should be proportional to be two fractions in proportion.
So numerators and denominators are in proportion, then given two fractions are proportion.
<em><u>Reason 2:</u></em>
Now, values of two fractions must be equal:
So, values of two fractions are equal, then they are in proportion.
Hence, the given two fractions are in proportion.
Answer:
Let y represents the dog and x represents the Cat.
As per the Statement:
A total of 34 dogs and cats participated in the pet store’s adoption event.
⇒ x+y = 34 ......[1]
It is also given that the number of dogs that were adopted was 7 more than twice the number of cats.
"Twice times the number of cats" means 2x
"7 more than twice the number of cats means 2x + 7
⇒
Then, system of equations are;
x +y = 34
y = 2x + 7
Now, plot the graph of these equation as show below:
The point intersection is, (9, 25) which represents 9 cats and 25 dogs are participated in the pet store's adoption event.
