Is there an easy way to translate these into equations and solve? 10 cm^3 of a n

Question

Is there an easy way to translate these into equations and solve?
10 cm^3 of a normal specimen of human blood contain 1.2g of hemoglobin. How many grams does 12 cm^3 of the same blood contain.
It is known that to make 1lb of honey it takes 20,000 trips from bees to flowers to gather nectar. How many pounds would 35,000 produce?
A particular hybrid car travels 255 miles on 5 gallons of gas. How much gas would be needed for a 714 mile trip?
Samples of 124 firecrackers have 5 duds. How many duds would be in 2232 firecrackers?
Find the variation Constance and an equation of variations where y varies directly as x and y =15 when x=3.

Explanation / Answer

(10 cm^3) / (1.2g) = (12 cm^3) / (x grams) solve for x (10x) = (12*1.2) x = 14.4 / 10 = 1.44 grams (1 lb)/ (20000 trips) = (x lbs)/(35000 trips) solve for x 20000x = (1*35000) x = 35000 / 20000 = 7/4 = 1.75 lbs (255 miles)/ (5 gal) = (714 miles)/ (x gal) solve for x 255x = 714*5 x = 3570 / 255 = 14 gallons (124 firecrackers) / (5 duds) = (2232 firecrackers) / (x duds) solve for x 124x = 2232*5 x = 11160 / 124 = 90 duds since y varies directly as x, y=kx, where k is a constant. When y=15, x=3 Replacing in the equation,k=15/3 = 5 Replacing value of k=5 in equation y=kx therefore gives you equation of variation, y=5x. hope this helps, plz rate

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.