45/60= .75 miles each minute
45x2= 90 miles in 2 hours
.75×20=15 miles in 20 min
90+15=105 miles in 2 hours n 20 min
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: x= -36
Step-by-step explanation:
-36/-4=9
Diameter= 18cm
Radius is half of diameter
Radius=9cm
Answer: $2215
Step-by-step explanation:
For the past 5 weeks, Mandy adds $291 each week to her account. This gives $291×5= $1455
Money received on birthday= $313
Money started with in the account= $527
Total money in Mandy's account will be= $1455+$313+$527 = $2295
The total amount in Mandy's account is $2215
