Answer:
63 grams of protein in 9 ounces of tuna.
Step-by-step explanation:
Equivalent ratios are a rule of three problem.
In this problem, we have that:
3 ounce serving of tuna provides 21 grams of protein. To find the equivalent ratio, how many grams of protein are there in one ounce serving of tuna?
3 ounces - 21 grams
1 ounce - x grams
The ratio is 7 grams of protein per ounce, so 7:1.
So in 9 ounces of tuna, there are 9*7 = 63 grams of protein.
The values of x and y are 99 and 343
<h3>The HCF</h3>The HCF of numbers is the highest common factors of the numbers
<h3>The LCM</h3>The LCM of numbers is the lowest common multiple of the numbers
The HCF and the LCM are given as:
Multiply the HCF and the LCM
The product of the numbers x and y equals the product of the HCF and the LCM.
So, we have:
Express 33957 as a prime factor
Rewrite the equation as
By comparison:
Hence, the values of x and y are 99 and 343
Read more about HCF and LCM at:
Answer:
The values of x which would give an area of 240m² would be:
Step-by-step explanation:
Given
The base of triangle b = 2x+1
The height of triangle h = 6x-3
The Area of the triangle A = 240 m²
The Area of the triangle has the formula
A = 1/2 × b × h
substituting b = 2x+1, h = 6x-3 and A = 240
Subtract 480 from both sides
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
solving
Divide both sides by 2
also solving
Divide both sides by 2
Therefore, the values of x which would give an area of 240m² would be: