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2 years ago

Solve for k 10/3 = k/9 K =

Mathematics

2 answers:

Vinvika [58]2 years ago

6 0

Answer:

$K=30$

Step-by-step explanation:

$rewrite \: the \: equation \: as \: \frac{k}{9} = \frac{10}{3}$

$\frac{k}{9} = \frac{10}{3}$

$multiply \: both \: sides \: of \: the \: equation \: \\ by \: 9.$

$9. \frac{k}{9} = 9. \frac{10}{3}$

$simplify \: both \: sides \: of \: the \: equation.$

$cancel \: the \: common \: factor \: of \: 9.$

$cancel \: the \: common \: factor.$

$9. \frac{k}{9} = 9. \frac{10}{3}$

$rewrite \: the \: expression.$

$k = 9. \frac{10}{3}$

$cancel \: the \: common \: factor \: of \: 3.$

$factor \: 3 \: out \: of \: 9.$

$k=3(3)⋅ \frac{10}{3}$

$cancel \: the \: common \: factor.$

$k=3⋅3⋅ \frac{10}{3}$

$rewrite \: the \: expression.$

$k=3⋅10$

$multiply \: 3 \: by \: 10.$

$k = 30$

Gnesinka [82]2 years ago

5 0

10/3=k/9
(10/3)9=k
30=k

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Answer:

160

Step-by-step explanation:

The problem statement tells us ...

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2 years ago

A pile of coins, consisting of nickels, dimes, and quarters, is worth $4.55. There are 4 more dimes than nickels and 3 quarters

frozen [14]

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n=number of nickles
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d=number of dimes

4 more dmes than nickles, 3 more quarters than dimes
d+4=n
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total value is 455 cents
10d+5n+25q=455
divide both sides by 5 to simplify
2d+n+5q=91

now we convert all to one coin
q=3+d and n+4=d
subsitute 3+d for q and n+4 for d

2(n+4)+n+5(3+d)=91
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n=6

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3 years ago

Deisha can build a fence in 15 hours, and Travis can build a fence in 12 hours. How long will it take them together to build a f

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Answer:

6 $\frac{2}{3}$

Step-by-step explanation:

Deisha's build rate = 1 fence per 15 hours = 1/15 fences per hour

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2 years ago

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2 years ago

Find the simple interest earned to the nearest cent for each principal, interest rate, and time.

Y_Kistochka [10]

Answer:

Interest earned at 3.9 percent rate is $31.2

Interest earned at 2 percent rate is $5.8

Step-by-step explanation:

A = P(1 + rt)

Where 'A' is the amount, 'r' is the rate and 't' is the time in years

When;

P = $1200

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Then,

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3 years ago