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Let’s check out your problem:
3
4
=
1
3
p
−
1
\frac{3}{4}=\frac{1}{3}p-1
4
3
=
3
1
p
−
1
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Home
Math Problems
Grade 7
Add and subtract rational numbers
Full solution
Q.
3
4
=
1
3
p
−
1
\frac{3}{4}=\frac{1}{3}p-1
4
3
=
3
1
p
−
1
Isolate term with p:
First, let's isolate the term with p on one side of the equation by adding
1
1
1
to both sides.
\newline
3
4
+
1
=
1
3
p
\frac{3}{4} + 1 = \frac{1}{3}p
4
3
+
1
=
3
1
p
Convert
1
1
1
to fraction:
Now, we need to convert
1
1
1
to a fraction with a common denominator with
3
4
\frac{3}{4}
4
3
, which is
4
4
4
.
\newline
3
4
+
4
4
=
1
3
p
\frac{3}{4} + \frac{4}{4} = \frac{1}{3}p
4
3
+
4
4
=
3
1
p
Add fractions:
Add the fractions on the left side.
\newline
(
3
+
4
)
/
4
=
1
3
p
(3 + 4)/4 = \frac{1}{3}p
(
3
+
4
)
/4
=
3
1
p
Simplify fraction:
Simplify the fraction.
7
4
=
1
3
p
\frac{7}{4} = \frac{1}{3}p
4
7
=
3
1
p
Multiply by reciprocal:
To solve for
p
p
p
, we multiply both sides by the reciprocal of
1
3
\frac{1}{3}
3
1
, which is
3
3
3
.
7
4
×
3
=
p
\frac{7}{4} \times 3 = p
4
7
×
3
=
p
Multiply by
3
3
3
:
Now, multiply
7
4
\frac{7}{4}
4
7
by
3
3
3
.
\newline
7
4
×
3
=
21
4
\frac{7}{4} \times 3 = \frac{21}{4}
4
7
×
3
=
4
21
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Question
x
x
+
3
=
x
+
2
x
+
6.2
\frac{x}{x+3} = \frac{x+2}{x+6.2}
x
+
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=
x
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x
+
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Find `x`
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Which expression is equivalent to
30.4
+
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)
30.4+(-40.4)
30.4
+
(
−
40.4
)
?
\newline
30.4
−
40.4
30.4-40.4
30.4
−
40.4
\newline
40.4
−
30.4
40.4-30.4
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(
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30.4
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Solve for
n
n
n
and simplify your answer.
\newline
−
6
=
2
3
n
-6=\frac{2}{3} n
−
6
=
3
2
n
\newline
Answer:
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Question
3
+
2.5
×
5
−
4
×
8
=
3+2.5\times 5-4\times 8=
3
+
2.5
×
5
−
4
×
8
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Question
A local package delivery service wants to improve the efficiency of its deliveries. As a first step, the management team decides to conduct a study to determine the average length of time from the arrival of a package at the company's mail center until its delivery at a home. Which of the following methods is most likely to produce valid results?
\newline
Choose
1
1
1
answer:
\newline
(A) The team selects the
1
,
000
1,000
1
,
000
heaviest packages in a one-week, non-holiday period and records how long it takes for each package to reach its destination.
\newline
(B) The team calls
1
,
000
1,000
1
,
000
residents in their delivery area and asks them whether they have received a package from their service in the past week. They will then record how long it took for those packages to reach their destination.
\newline
(C) The team selects a random sample of
1
,
000
1,000
1
,
000
packages arriving at the center over a one-week, non-holiday period and records how long it takes for each package to reach its destination.
\newline
(D) None of the above
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8
+
2.7
=
8+2.7=
8
+
2.7
=
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Question
(
1.5
−
2.9
i
)
+
(
4.3
+
1.4
i
)
(1.5-2.9 i)+(4.3+1.4 i)
(
1.5
−
2.9
i
)
+
(
4.3
+
1.4
i
)
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Question
A baker uses
3
3
3
cups
(
c
)
(c)
(
c
)
of flour to bake
2
2
2
loaves of bread. If
1
1
1
pound
(
l
b
)
(lb)
(
l
b
)
of flour is equivalent to
3
1
3
c
,
3\frac{1}{3} c ,
3
3
1
c
,
how many loaves of bread can the baker make with a
10
10
10
l
b
lb
l
b
- bag of flour?
\newline
(Round the answer to the nearest whole number.)
\newline
□
\square
□
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Question
Multiply:
\newline
−
0.1
×
−
2
5
=
-0.1 \times \frac{-2}{5}=
−
0.1
×
5
−
2
=
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