1) Write the ration in simplest form 50:10
A)25:2
B)10:2
C)5:1
D)1:5
2) Solve the following proportion.
r/5=9/21
1)
50:10 = 5 ∙ 10 / 10 = 5 = 5:1
2)
r / 5 = 9 / 21
r / 5 = 3 ∙ 3 / 3 ∙ 7
r / 5 = 3 / 7
cross multiply
7 ∙ r = 5 ∙ 3
7 r = 15
r = 15 / 7
this helps no one
Does anybody have the answers
1) To write the ratio 50:10 in simplest form, we need to divide both numbers by their greatest common divisor (GCD). The GCD of 50 and 10 is 10, so we divide both numbers by 10.
50 ÷ 10 = 5
10 ÷ 10 = 1
Therefore, the simplest form of the ratio 50:10 is 5:1. So, the correct answer is C) 5:1.
2) To solve the proportion r/5 = 9/21, we can cross-multiply and solve for r.
Cross-multiplying involves multiplying the numerator of the first fraction (r) by the denominator of the second fraction (21) and then multiplying the denominator of the first fraction (5) by the numerator of the second fraction (9).
(r)(21) = (5)(9)
21r = 45
Now, we need to solve for r by dividing both sides of the equation by 21.
21r/21 = 45/21
r = 2.14 (rounded to two decimal places)
Therefore, the solution to the proportion r/5 = 9/21 is r ≈ 2.14.