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dolphi86 [110]
3 years ago
10

Multiply. Express your answer in lowest terms. -3/8*(-2/9)=

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0
Multiply the numerators
-3 x -2 = 6

Multiply the denominators
8 x 9 = 72

Fraction is then 6/72, which reduces to 1/12.
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Ramil and Carly collected the honey from 4 of his beehives. From the first hive collected 1/3 gallons of honey. The last hives y
BaLLatris [955]

Answer:

We know that:

  • First hive gave 1/3 gallon.
  • The other three hives gave 1/4 gallon each.

To find the total gallons of honey, we just have to sum all of it.

H=\frac{1}{3}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}\\H=\frac{1}{3}+3\frac{1}{4}\\H=\frac{1}{3}+\frac{3}{4}\\H=\frac{4+9}{12}=\frac{13}{12}

As a mixed number:

\frac{13}{12}=1\frac{1}{12}

Therefore, Carly collected 1 and 1/12 gallons. Or, 1.08 gallons in total.

6 0
4 years ago
What is 12 14/15 as a decimal
timama [110]

Answer:

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Step-by-step explanation:

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4 years ago
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Given that the line y=c-2x is tangent to the curve y^2=kx where c and k are non-zero constants,express k in terms of c
Viktor [21]

Answer:

k = -8c.

Step-by-step explanation:

y^2 = kx

Find the slope of the tangent by differentiating:

y' 2y = k

y' = k / 2y = the slope of the tangent.

The given equation of the tangent is y = -2x + c so the slope = -2.

Therefore  k/2y =  -2  so k = -4y and y = -k/4

y^2 = kx so k^2/16 = kx giving x = k/16.

Substituting for x and y in y = -2x + c:

-k/4 = -2 k/16 + c

-k/4 = -k/8  + c

c = -k/4 + k/8 = -k/8.

So -k = 8c

k = -8c.

3 0
4 years ago
What is the ratio of cats to dogs in a neighborhood with 20 cats and 12 dogs?
Hitman42 [59]

Answer:

5:3

Step-by-step explanation:

20 cats: 12 dogs

= 10 cats: 6 dogs

= 5 cats: 3 Dogs

=5:3

4 0
3 years ago
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What is the hypothenuse of a right triangle with bases 13cm and 5cm?
NikAS [45]
To find the hypothenuse use Pythagorean theorem: 13²+5²=h²,
h=√13²+5²=13.93cm = hypothenuse.
5 0
3 years ago
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