Answer:
Charles completed the quiz problems at the slowest rate
Step-by-step explanation:
we know that
To find out the unit rate divide the number of quiz problems by the time employed
1) Maya completed 15 quiz problems in 10 minutes
so
2) Andrew completed 12 quiz problems in 8 minutes
so
3) Charles completed 16 quiz problems in 16 minutes
so
Compare the unit rates
1 < 1.5
therefore
Charles completed the quiz problems at the slowest rate
You have to multilpy them . answer would be 2021.175
Answer:
m = 1/3
Step-by-step explanation:
1) find two points
(0,0) ; (3,1)
2) use this formula
(y2 - y1)/ (x2-x1)
(1-0)/3-0)
m = 1/3
That's a long problem for five points.
Answer:
Length :
12
feet
Width :
10
feet
Explanation:
Let the length of the garden be
x
feet.
Therefore, the breadth or width of the garden is
(
x
−
2
)
feet.
So, According to the problem,
x
(
x
−
2
)
=
120
⇒
x
2
−
2
x
=
120
⇒
x
2
−
2
x
−
120
=
0
[Transposing 120 to the L.H.S]
⇒
x
2
+
10
x
−
12
x
−
120
=
0
[Breaking
−
2
x
as
10
x
−
12
x
]
⇒
x
(
x
+
10
)
−
12
(
x
+
10
)
=
0
[Taking the like terms aside]
⇒
(
x
+
10
)
(
x
−
12
)
=
0
[Completing the factorisation]
We know, When two real quantities are multiplied and the product is zero, then one of them or both of them should be zero.
So, Either
x
+
10
=
0
or
x
−
12
=
0
So,
x
=
−
10
or
12
As
x
indicates length,
x
can't be negative.
So,
x
=
12
.
So, The length of the garden is
12
feet and the width of the garden is
(
12
−
2
)
feet =
10
feet.
Step-by-step explanation:
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