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Fill in the blanks using each number once.
\newline
−
3
,
−
2
,
−
1
,
0
,
1
,
2
,
3
-3,-2,-1,0,1,2,3
−
3
,
−
2
,
−
1
,
0
,
1
,
2
,
3
\newline
x
<
x<
x
<
\qquad
and
x
>
x>
x
>
\qquad
\newline
Solutions to both inequalities:
\qquad
⟶
\longrightarrow
⟶
−
-
−
\newline
Not solutions to both inequalities:
\qquad
+
+
+
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Math Problems
Grade 6
Scaling by fractions and mixed numbers
Full solution
Q.
Fill in the blanks using each number once.
\newline
−
3
,
−
2
,
−
1
,
0
,
1
,
2
,
3
-3,-2,-1,0,1,2,3
−
3
,
−
2
,
−
1
,
0
,
1
,
2
,
3
\newline
x
<
x<
x
<
\qquad
and
x
>
x>
x
>
\qquad
\newline
Solutions to both inequalities:
\qquad
⟶
\longrightarrow
⟶
−
-
−
\newline
Not solutions to both inequalities:
\qquad
+
+
+
Identify Inequalities:
Identify the inequalities that need to be solved using the given numbers
−
3
,
−
2
,
−
1
,
0
,
1
,
2
,
3
-3, -2, -1, 0, 1, 2, 3
−
3
,
−
2
,
−
1
,
0
,
1
,
2
,
3
.
Solve Inequalities:
Solve the inequalities
x
<
1
x < 1
x
<
1
and
x
>
−
2
x > -2
x
>
−
2
.
Find Intersection:
Find the intersection of the two sets to determine the solutions to both inequalities.
Identify Non-Solutions:
Identify the numbers that are not solutions to both inequalities.
More problems from Scaling by fractions and mixed numbers
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On Sunday,
1
/
6
1/6
1/6
of the dogs seen in the park were on leashes. On Wednesday,
3
/
7
3/7
3/7
of the dogs in the same park were on leashes. Which day had a greater fraction of dogs on leashes?
\newline
A)Sunday
\newline
B)Wednesday
\newline
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Question
Perry Repertory Theater Company sold out
1
10
\frac{1}{10}
10
1
of the performances it held. Hancock Shakespeare Company sold out
5
7
\frac{5}{7}
7
5
of the performances it put on. Which theater company sold out a greater fraction of its performances?
\newline
A)Perry Repertory Theater Company
\newline
B)Hancock Shakespeare Company
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Question
Yesterday,
3
5
\frac{3}{5}
5
3
of the flights at Logan County Airport were delayed. At Cass County Airport,
2
9
\frac{2}{9}
9
2
of the flights were delayed. Which airport had a higher fraction of delayed flights?
\newline
A)Logan County Airport
\newline
B)Cass County Airport
\newline
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Question
Last month, Baldwin finished
3
7
\frac{3}{7}
7
3
of his to-do list items, while Jason completed
7
9
\frac{7}{9}
9
7
of his to-do list items. Who finished a greater fraction of his to-do list last month?
\newline
A)Baldwin
\newline
B)Jason
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Posted 2 months ago
Question
What is the quotient of
3.515
×
1
0
8
3.515 \times 10^{8}
3.515
×
1
0
8
and
4.75
×
1
0
5
4.75 \times 10^{5}
4.75
×
1
0
5
expressed in scientific notation?
\newline
Answer:
□
×
1
0
□
\square \times 10^{\square}
□
×
1
0
□
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Posted 3 months ago
Question
What is the quotient of
1.501
×
1
0
7
1.501 \times 10^{7}
1.501
×
1
0
7
and
3.95
×
1
0
4
3.95 \times 10^{4}
3.95
×
1
0
4
expressed in scientific notation?
\newline
Answer:
□
×
1
0
□
\square \times 10^{\square}
□
×
1
0
□
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Posted 3 months ago
Question
What is the quotient of
6.096
×
1
0
9
6.096 \times 10^{9}
6.096
×
1
0
9
and
6.35
×
1
0
5
6.35 \times 10^{5}
6.35
×
1
0
5
expressed in scientific notation?
\newline
Answer:
□
×
1
0
□
\square \times 10^{\square}
□
×
1
0
□
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Posted 3 months ago
Question
Solve for
x
x
x
:
\newline
3
x
+
5
=
2
(
x
−
4
)
3x+5=2(x-4)
3
x
+
5
=
2
(
x
−
4
)
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Posted 2 months ago
Question
Solve for the variable.
\newline
x
+
12
=
14
x+12=14
x
+
12
=
14
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Question
As a fraction in simplest terms, what would you multiply the first number by to get the second?
\newline
First number:
6
6
6
Second number:
33
33
33
\newline
6
⋅
□
=
33
6 \cdot \square=33
6
⋅
□
=
33
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Posted 2 months ago