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rusak2 [61]
4 years ago
10

In the park, Bryce hikes 4 1/2 mi and Jessie hikes 6 7/16 mi. How much farther does Jessie hike than Bryce? Express your answer

as a mixed number in simplest form. Enter your answer in the box.
Mathematics
2 answers:
soldier1979 [14.2K]4 years ago
5 0

is simply the difference of both amounts, but firstly let's convert the mixed fractions to improper, and subtract.


\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}
\\\\\\
\stackrel{mixed}{6\frac{7}{16}}\implies \cfrac{6\cdot 16+7}{16}\implies \stackrel{improper}{\cfrac{103}{16}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\stackrel{Jessie}{\cfrac{103}{16}}-\stackrel{Bryce}{\cfrac{9}{2}}\implies \stackrel{\textit{our LCD is 16}}{\cfrac{(1)103-(8)9}{16}}\implies \cfrac{103-72}{16}\implies \cfrac{31}{16}\implies 1\frac{15}{16}

zubka84 [21]4 years ago
3 0

Answer:

1 15/16 is the answer

Step-by-step explanation:

I took the test and this was right!

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6x15 + 4x12 – 11x9 – 3x8 + 2x2 + 12.
Alenkasestr [34]

Answer:

90 + 48 - 99 - 24 + 4 + 12

= 31

7 0
3 years ago
Is _____. hjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
san4es73 [151]

Answer:

o.6

Step-by-step explanation:

I think sorry if wrong

7 0
3 years ago
Read 2 more answers
Determine whether the graph of the equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of th
Murrr4er [49]
\bf x^2y^2+3xy=1\\\\
-------------------------------\\\\
\stackrel{\stackrel{\textit{test for x-symmetry}}{y=-y}}{x^2(-y)^2+3x(-y)=1}\implies x^2y^2-3xy=1\impliedby 
\begin{array}{llll}
\textit{function differs}\\
\textit{from original}\\
\textit{no dice}
\end{array}\\\\
-------------------------------\\\\

\bf \stackrel{\stackrel{\textit{test for y-symmetry}}{x=-x}}{(-x)^2y^2+3(-x)y=1}\implies x^2y^2-3xy=1\impliedby 
\begin{array}{llll}
\textit{function differs}\\
\textit{from original}\\
\textit{no dice}
\end{array}\\\\
-------------------------------\\\\
\stackrel{\stackrel{\textit{test for origin-symmetry}}{x=-x~~y=-y}}{(-x)^2(-y)^2+3(-x)(-y)=1}\implies x^2y^2+3xy=1\impliedby 
\begin{array}{llll}
origin\\symmetry
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so, recall, the function has symmetry when the yielded resulting function resembles the original function, after negativizing the variable(s).

Also recall that minus*plus is minus, and minus*minus is plus.
7 0
4 years ago
Which of the following represents the inequality shown below when solved for x?
kkurt [141]

Answer:

Option C. x < -\frac{14}{5}y

Step-by-step explanation:

we have

-\frac{5x}{8} > \frac{14y}{8}

Solve for x

That means ---> isolate the variable x

Multiply by 8 both sides to remove the fractions

-5x>14y

Multiply by -1 both sides

Remember that

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

5x

Divide by 5 both sides

x < -\frac{14}{5}y

6 0
3 years ago
Mom wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 20% syrup?
Wittaler [7]

Answer:

Let x pound of the sugar to make 20% syrup.

As per the statement:

Mom wants to make 5 Ibs of the sugar syrup.

We have to find how much water and sugar does she need to make 20% syrup.

By definition of proportion; we have

\frac{x}{5} = \frac{20}{100}

Simplify:

\frac{x}{5} = \frac{1}{5}

Multiply both sides by 5 we get;

x = 1

Remaining = 5 -1 = 4 pounds of water

Therefore, 1 pounds of sugar and 4 pounds of water does she need to make 20% syrup.




4 0
3 years ago
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