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:
$34
Step-by-step explanation:
I'd work backwards.
For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)
m = 1/2m + 3
1/2m = 3
m = 6
For the second book: (let n = money before book 2)
n - m (money left after book 2) = 1/2n + 2
1/2n +2 is money used up for book, which is the same as n-m.
n = 1/2n + 2 + m
1/2n = 2 + m = 2 + 6
1/2n =8
n = 16
For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):
o - n = 1/2o + 1
o = 1/2o + n + 1 = 1/2o + 16 + 1
1/2o = 17
o = 34
Check!
Spent 17 (half 34) + 1 on book 1
16 left
Spent 8 (half 16) +2 on book 2
6 left
Spent 3 (half 6) + 3 on book 3
0 left
Answer:
the answer is 10
Step-by-step explanation:
i got it right on edge 2020
Answer:
see attachment
Step-by-step explanation:
We want to sketch the graph of
We want to use tables so we choose some few points and plot.
When x=-6,
y=(-6)²+4(-6)+8=20
When x=-4,
y=(-4)²+4(-4)+8=8
When x=0,
y=(-2)²+4(-2)+8=4
When x=0,
y=(0)²+4(0)+8=8
When x=2,
y=(2)²+4(2)+8=20
The table and graph are shown in attachment.
Answer:
Step-by-step explanation:
you have two supplementary angles,
both added up=180
7y+5y=12y
12y=180y=15
angle DBC=7y=15*7=105
