U = sec x ( substitution )
u² + 2 u = 0
u ( u + 2 ) = 0
u = 0, or u = - 2
1/cos x = 0 1/cos x = - 2
(not accepted ) cos x = -1/2
x 1 = 2π/3, x 2 = 4π/3
One whole jar= 3/3 or 1
Set up a ratio comparing the two sets of measurements.
2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.
x= ounces in 1 whole jar
2 2/4 / 2/3= x / 3/3
cross multiply
(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions
10/4 * 3/3= 2/3x
multiply numerators; multiply denominators
(10*3)/(4*3)= 2/3x
30/12= 2/3x
divide both sides by 2/3
30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3
30/12 * 3/2= x
multiply numerators; multiply denominators
(30*3)/(12*2)= x
90/24= x
simplify by 6
15/4 or 3 3/4 ounces= x
ANSWER: 3 3/4 ounces can make a full jar.
Hope this helps! :)
Answer:
28
Step-by-step explanation:
sum the parts of the ratio 1 + 4 = 5
divide the number of surfboards by 5 to find one part of the ratio
= 7 ← 1 part of the ratio
4 parts = 4 × 7 = 28 ← number of short boards
