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Luba_88 [7]
2 years ago
7

Lois is 3 years older than Oscar. The sum of their ages is no more than 20. Write an inequality that can be used to represent th

is situation, where x represents Oscar’s age.
Mathematics
2 answers:
densk [106]2 years ago
7 0

Answer:

let Oscar's years be x

• Oscar → x

• Lois → (x + 3)

{ \rm{x + (x + 3) \leqslant 20}} \\  \\ { \boxed{ \rm{2x + 3 \leqslant 20}} }

scoundrel [369]2 years ago
5 0
  • Let Oscar be x years old
  • Lois is x+3 years old

ATQ

\\ \sf\longmapsto x+x+3\leqslant 20

\\ \sf\longmapsto 2x+3\leqslant 20

\\ \sf\longmapsto 2x\leqslant=17

\\ \sf\longmapsto x\leqslant \dfrac{17}{2}

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3 0
2 years ago
What is 0.85714286 rounded to the nearest hundredth
elena-14-01-66 [18.8K]

Answer:

0.86

Step-by-step explanation:

Rounding rules.

4 and below, round down.

5 and above, round up.

We are going to look at the thousandths place to round to the hundredths place.

0.857 -> 0.86

Best of Luck!

8 0
3 years ago
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Simplify the complex fraction.
lilavasa [31]

Given:

$\frac{\left(\frac{(4 r)^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{(3 t)^{2}}\right)}

To find:

The simplified fraction.

Solution:

Step 1: Simplify the numerator

$\frac{(4 r)^{3}}{15 t^{4}}=\frac{4^3 r^{3}}{15 t^{4}}=\frac{64 r^{3}}{15 t^{4}}

Step 2: Simplify the denominator

$\frac{16 r}{(3 t)^{2}}=\frac{16 r}{3^2 t^{2}}= \frac{16 r}{9 t^{2}}

Step 3: Using step 1 and step 2

$\frac{\left(\frac{(4 r)^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{(3 t)^{2}}\right)}=\frac{\left(\frac{64 r^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{9 t^{2}} \right)}

Step 4: Using fraction rule:

$\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a \cdot d}{b \cdot c}

$\frac{\left(\frac{64 r^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{9 t^{2}}\right)}=\frac{64r^3 \cdot 9t^2}{16 r \cdot 15 t^4}

Cancel the common factor r and t², we get

           $=\frac{64 r^{2} \cdot 9 }{16  \cdot 15 t^2 }

Cancel the common factors 16 and 3 on both numerator and denominator.

           $=\frac{4 r^{2} \cdot 3 }{  5 t^2 }

           $=\frac{12 r^{2}  }{  5 t^2 }

$\frac{\left(\frac{(4 r)^{3}}{15 t^{4}}\right)}{\left(\frac{16 r}{(3 t)^{2}}\right)}=\frac{12 r^{2}  }{  5 t^2 }

The simplified fraction is \frac{12 r^{2}  }{  5 t^2 }.

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3 years ago
Last year, the school library had a total of x books. Over the summer, the library acquired another 31 books and now has a total
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Answer:

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Step-by-step explanation:

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