Answer:
it's B.) 8
Step-by-step explanation:
the given pair of angles are <em>corresponding</em><em> </em>angles so, their measures are equal.
=》15x + 10 = 17x - 6
=》10 + 6 = 17x - 15x
=》2x = 16
=》x = 16 ÷ 2
=》x = 8
Answer: There will be 12 engineers remaining in the product development department.
Step-by-step explanation:
So the givens are:
60 employees and 1/3 are engineers and if 40% of engineers are moved to another division and how many engineers will remain in the product development department?
So what we need to do:
60 * 1/3 = 60 / 3 = 20
There are 20 engineers.
20 * 40% = 8
There are 8 engineers that are g<u>oing to be moved to another division</u>.
20 - 8 = 12
12 engineers will <u>remain</u> in the development department.
Hence, your answer.
The correct answer is C. n is greater than or equal to 30
<span>w divided by 7 1/2
Substitute variable for numbers
5 5/6 divided by 7 1/2
Convert the mixed numbers into improper fractions
35/6 divided by 15/2
Convert the division sign to multiplication while flipping the fraction 15/2 to 2/15
35/6*2/15
Multiply
Final Answer: 70/90</span>
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)
