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Let’s check out your problem:
Which of the following options have the same value as
15
%
15 \%
15%
of
20
20
20
?
\newline
Choose
3
3
3
answers:
\newline
A
3
20
⋅
20
\frac{3}{20} \cdot 20
20
3
⋅
20
\newline
B
15
⋅
20
15 \cdot 20
15
⋅
20
\newline
c
0.15
⋅
20
0.15 \cdot 20
0.15
⋅
20
\newline
D
15
100
⋅
20
\frac{15}{100} \cdot 20
100
15
⋅
20
\newline
E
15
⋅
0.02
15 \cdot 0.02
15
⋅
0.02
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Home
Math Problems
Grade 8
Mean, median, mode, and range: find the missing number
Full solution
Q.
Which of the following options have the same value as
15
%
15 \%
15%
of
20
20
20
?
\newline
Choose
3
3
3
answers:
\newline
A
3
20
⋅
20
\frac{3}{20} \cdot 20
20
3
⋅
20
\newline
B
15
⋅
20
15 \cdot 20
15
⋅
20
\newline
c
0.15
⋅
20
0.15 \cdot 20
0.15
⋅
20
\newline
D
15
100
⋅
20
\frac{15}{100} \cdot 20
100
15
⋅
20
\newline
E
15
⋅
0.02
15 \cdot 0.02
15
⋅
0.02
Convert to Decimal and Multiply:
To find
15
%
15\%
15%
of
20
20
20
, we convert the percentage to a decimal and multiply by
20
20
20
.
\newline
Calculation:
15
%
15\%
15%
of
20
=
0.15
×
20
=
3
20 = 0.15 \times 20 = 3
20
=
0.15
×
20
=
3
Option A Simplification:
Option A:
(
3
20
)
×
20
(\frac{3}{20}) \times 20
(
20
3
)
×
20
simplifies to
3
3
3
, since the
20
20
20
s cancel out.
\newline
Calculation:
(
3
20
)
×
20
=
3
(\frac{3}{20}) \times 20 = 3
(
20
3
)
×
20
=
3
Multiplication Not Percentage:
Option B:
15
×
20
15 \times 20
15
×
20
is not a percentage of
20
20
20
, it's a multiplication of
15
15
15
by
20
20
20
.
\newline
Calculation:
15
×
20
=
300
15 \times 20 = 300
15
×
20
=
300
Decimal Form Calculation:
Option C:
0.15
×
20
0.15 \times 20
0.15
×
20
is the decimal form of
15
%
15\%
15%
multiplied by
20
20
20
.
\newline
Calculation:
0.15
×
20
=
3
0.15 \times 20 = 3
0.15
×
20
=
3
Fraction Form Calculation:
Option D:
(
15
100
)
×
20
(\frac{15}{100}) \times 20
(
100
15
)
×
20
is the
fraction
form of
15
%
15\%
15%
multiplied by
20
20
20
.
\newline
Calculation:
(
15
100
)
×
20
=
(
15
×
20
100
)
=
300
100
=
3
(\frac{15}{100}) \times 20 = (\frac{15 \times 20}{100}) = \frac{300}{100} = 3
(
100
15
)
×
20
=
(
100
15
×
20
)
=
100
300
=
3
Not
15
15
15
% of
20
20
20
:
Option E:
15
×
0.02
15 \times 0.02
15
×
0.02
is not
15
%
15\%
15%
of
20
20
20
, it's
15
15
15
times
0.02
0.02
0.02
.
\newline
Calculation:
15
×
0.02
=
0.3
15 \times 0.02 = 0.3
15
×
0.02
=
0.3
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In the data set below, what is the mean absolute deviation?
\newline
6
,
3
,
1
,
6
,
6
6,3,1,6,6
6
,
3
,
1
,
6
,
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\newline
If the answer is a decimal, round it to the nearest tenth.
\newline
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60, 38, 93, 14, 23, 81, 12, 64
60
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93
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14
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23
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81
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12
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64
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18
18
18
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12
12
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[B]decrease
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[C]no change
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Liam has the following data:
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20
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x
x
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\newline
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\newline
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(
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9
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21
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Question
g
=
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−
m
32
g=15-\frac{m}{32}
g
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m
\newline
If Vera starts with a full tank of gas, the number of gallons of gas,
g
g
g
, left in the tank after driving
m
m
m
miles is given by the equation. When full, how many gallons of gas does Vera's tank hold?
\newline
Choose
1
1
1
answer:
\newline
(A)
15
15
15
gallons
\newline
(B)
17
17
17
gallons
\newline
(C)
32
32
32
gallons
\newline
D
480
480
480
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Question
x
−
3
y
=
8
x-3 y=8
x
−
3
y
=
8
\newline
y
2
=
x
−
4
y
−
2
y^{2}=x-4 y-2
y
2
=
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−
4
y
−
2
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If
(
x
,
y
)
(x, y)
(
x
,
y
)
is a solution to the system of equations shown, which of the following are
y
y
y
-coordinates of the solutions?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
1
-1
−
1
and
−
3
-3
−
3
\newline
(B)
14
14
14
and
2
2
2
\newline
(C)
−
2
-2
−
2
and
3
3
3
\newline
(D)
2
2
2
and
−
3
-3
−
3
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Question
Which of the following expressions is equivalent to
−
2
x
y
+
18
-2 x y+18
−
2
x
y
+
18
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
2
(
x
y
−
9
)
-2(x y-9)
−
2
(
x
y
−
9
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(B)
−
2
(
x
y
+
9
)
-2(x y+9)
−
2
(
x
y
+
9
)
\newline
(C)
2
(
x
y
−
9
)
2(x y-9)
2
(
x
y
−
9
)
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(D)
2
(
x
y
+
9
)
2(x y+9)
2
(
x
y
+
9
)
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Question
What is the value of
tan
(
π
3
)
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tan
(
3
π
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
1
2
\frac{1}{2}
2
1
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(B)
3
3
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3
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(C)
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(D)
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Question
Which of the following is the value of
tan
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?
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Choose
1
1
1
answer:
\newline
(A)
1
1
1
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(B)
0
0
0
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−
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-1
−
1
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π
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tan
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is undefined.
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Question
Which of the following is the value of
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2
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?
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sin
(
2
π
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
1
-1
−
1
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(B)
0
0
0
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(C)
2
2
\frac{\sqrt{2}}{2}
2
2
\newline
(D)
1
1
1
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Question
3
x
+
y
=
3
7
x
−
y
=
2
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3
x
+
y
=
3
7
x
−
y
=
2
\newline
The given system of equations has solution
(
x
,
y
)
(x, y)
(
x
,
y
)
. What is the value of
x
x
x
?
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