If He began at 4:15 and ended at 5:50 then that would be 95 minutes
Answer:
nth term = 1 1/2n -1
Step-by-step explanation:
The arithmetic sequence formula is:
a
n
=
a
1
+
(
n
–
1
)
d
Where:
a
n
is the nth term in the sequence
a
1
is the first term in the sequence
n
is the term you are solving for
d
is the common difference for any pair of consecutive numbers in the sequence.
First Term or
n
=
1
:
This is given in the problem.
a
1 = 9
Second Term or
n
=
2
:
Substitute
2 for n
in the formula and substitute the values from the problem giving:
a
2
=
9
+
(
(
2
–
1
)
×
-2
)
a
2
=
9
+
(
1
×
-2
)
a
2
=
9
+-2
a
2
=
7
Fifth Term or n
=
5
:
Substitute in the formula and substitute the values from the problem giving:
a
5
=
9+
(
(
5–
1
)
×
-2
)
a
5
=
9
+
(
4
×
-2
)
a
2
=
9
+
-8
a
2
= 1
Using this same process you should be able to determiner the
Third Term or n
=
3
: and Fourth Term or n
=
4
:
Answer:
Step-by-step explanation:
let one diagonal=x
other diagonal=3x
area=1/2 (x±3x)=3/2 x²=54
x²=54×3/2=81
x=9 cm
3x=3×9=27
sum of diagonals=x+3x=4x=4×9=36 cm
Answer:
$43,500
Step-by-step explanation:
10 percent increase of $29,000
10% = 0.10
29,000*0.10 = 2,900
So 2,900 a year
so 2,900*5 = 14,500
Then add
29,000+14,500 = 43,500
Answer:
8 mangoes
Step-by-step explanation:
1) lets create 2 systems of inequalities
where m=# of mangoes
p=# of peaches
so m+p≥15 and 1m+0.5p≤15
lets substitute "13" in the m+p inequality to see how many mangoes dylan can buy:
m+(13)≥15
subtract "13" from both sides:
m≥2
now we substitute "13" in the other inequality:
m+0.5(13)≤15
m+6.5≤15
subtract 6.5 from both sides:
m≤8.5
m≥2 and m≤8.5
seeing our restriction, we can buy 8 mangoes (since we can't have 1/2 a mango)
hope this helps!