Answer: 3 ft. and 2 inches
38÷12=3.2
12×3=36
38-36
Answer:
x
=
0
y
=
−
2
Explanation:
simply subtract each term in the second equation from the first equation:
3
x
+
4
y
=
−
8
3
x
+
16
y
=
−
32
(
3
x
−
3
x
)
+
(
4
y
−
16
y
)
=
(
−
8
−
(
−
32
)
)
(
0
)
+
(
−
12
y
)
=
(
−
8
+
32
)
−
12
y
=
24
y
=
−
2
now use either original equation to solve for
x
:
3
x
+
4
y
=
−
8
3
x
+
4
(
−
2
)
=
−
8
3
x
−
8
=
−
8
3
x
=
0
x
=
0
<span>The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides </span>⇒
<span>
10/12 = (3x+2)/(5x-0.4)
10(5x-0.4) = 12(3x+2)
50x - 4 = 36x + 24
50x - 36x = 24 + 4
14x = 28
x = 28/14
x = 2
QS = 3x + 2 = 3*2 + 2 = 6 + 2 = 8
SR = 5x - 0.4 = 5*2 - 0.4 = 10 - 0.4 = 9.6
Answer is QS=8, SR=9.6
</span><span>
</span>
Answer:
a)45min
b)900min
Step-by-step explanation:
We were told that it takes Matt 3 minutes to read one page in a book.
It implies that 3minutes = 1page of the book
Then he continues to read at the same pace, he can read 15 similar pages in minutes.
a)Then, he can read 15 similar pages in
15x3 minutes.which is 45minutes.
b)Then if the book has 300 pages, it will take him. 300×3 minutes to read it.which is 900mins
Answer:
aₙ = 31n - 5
Step-by-step explanation:
The terms of your sequence are.
26, 57, 88, …
This is an arithmetic sequence, because there is a constant difference of 31 between consecutive terms.
The explicit formula for the nth term of an arithmetic sequence is
aₙ = a₁ + d(n - 1 )
a₁ is the first term, and d is the difference in value between consecutive terms. Thus,
aₙ = 26 + 31(n - 1) = 26 + 31n - 31
aₙ = 31n - 5
The explicit rule for the arithmetic sequence is aₙ = 31n - 5.
