To make this a bit easier we can convert the fractions to decimals, then add them up to find out how much flour they originally had. Rashan bought 3 7/10 pounds of flour, which becomes 3.7 pounds. Diego bought 2 3/4 pounds of flour, which becomes 2.75 pounds of flour. In total they both had 3.7 + 2.75 = 6.45 pounds of flour.
Now they used 4 3/5 pounds to bake some bread, which becomes 4.6 pounds. To find out how much flour they have left, we subtract the 4.6 from 6.45, which equals 1.85 pounds of flour left.
Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2
+41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2
+ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2
+41x+28 as (15x^2
+20x)+(21x+28).
(15x^2
+20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
Answer: 78 pounds
Explanation: if 1 kilogram is 2.2 pounds, just multiply the weight in kg by 2.2:
35.4 x 2.2 = 77.88
Round to nearest whole: 78.
So the dog is 78 pounds
18 : (18+6+32) = 18 : 56 or 18/56
Divide each by 2 = 9 : 28 or 9/28 whichever way you are writing the ratio.
Answer:
Alonzo would earn $65.3
Step-by-step explanation:
8.2*7=57.4
7.9*1=7.9
57.4+7.9=65.3
