37. The students at Norton School were asked to name their favorite type of pet. Of the 430 students surveyed, 258 said that their favorite type of per
was a dog. Suppose that only 100 students were surveyed, with similar results, about how many students would say that a dog is their favorite
type of pet?

60 students

Step-by-step explanation:

So, in the first situation 430 students were surveyed and 258 said that their favourite pet was a dog. The second situation is 100 students and x said that their favourite pet was a dog. We are solving x.

430=258

100= x

Cross multiply

So that is

430 x X= 100x258

430x=25800

Divide both sides by 430

60 students

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

~dasgupta/mathbook/append17dec2k8.pdf