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algol13
2 years ago
5

Work out the area of the rectangle give your answer as a mixed number

Mathematics
1 answer:
AlladinOne [14]2 years ago
7 0
We'll first convert the mixed fractions to "improper" and then get their product, since the area of a rectangle is the product of its length and width.

\bf \stackrel{mixed}{5\frac{1}{6}}\implies \cfrac{5\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{31}{6}}
\\\\\\
\stackrel{mixed}{2\frac{2}{7}}\implies \cfrac{2\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{16}{7}}
\\\\\\
\cfrac{31}{6}\cdot \cfrac{16}{7}\implies \cfrac{496}{42}\implies \stackrel{simplified}{\cfrac{248}{21}}\implies 11\frac{17}{21}
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There are 160 pages in a book.15% of the pages having pictures on them. How many
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Answer:

136

Step-by-step explanation:

15/100×160

=24

pages that doesn't have pictures=160-24

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6 0
2 years ago
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nataly862011 [7]
To find the half way between the two number we do:
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4 0
2 years ago
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► 00:00
SSSSS [86.1K]

Answer:

16 oz, 12 oz, 4 oz

Step-by-step explanation:

Since 1 pound is equal to 16 ounces, and you can only use each weight once or not at all, you can determine how much is needed by simply adding.

2 pounds is equal to 32 ounces.

To achieve 32 ounces, you can use a 16 ounce weight, which will then bring the scale to need 16 ounces.

After this you can youse a 12 ounce weight, which brings it down to 4 ounces.

The last weight needed is the 4 ounce weight which will then level out the balance scale.

8 0
3 years ago
A line passes through the point (9,1) and has a slope of 2.Write an equation in slope-intercept form for this line.
bogdanovich [222]

Answer:

y = 2x-17

Step-by-step explanation:

We have a point and a slope, we can write the equation in point slope form and then convert to slope intercept form

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y-1 = 2(x-9)

Distribute

y-1=2x-18

Add 1 to each side

y-1+1 = 2x-18+1

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This is slope intercept form

4 0
3 years ago
Simplify x0 y-3/x2 y-1
Natali5045456 [20]

Answer:

x^0 y^-3 / x^2 y^-1  

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= 1/(x^2 y^2)



6 0
3 years ago
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