How can I simplify 9a + 10(6a - 1) as an expression

Mathematics

1 answer:

Elodia [21]3 years ago

7 0

Answer:

69a-10

Step-by-step explanation:

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It is given that 2^x = 5^y = 10^z , express z in terms of x and y

weqwewe [10]

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Answer:

z = (xy)/(x+y)

Step-by-step explanation:

Taking logarithms base 10, we have ...

x·log(2) = y·log(5) = z·log(10)

z = x·log(2) = y·log(5) . . . . . . . . log(10) = 1

Then z/x = log(2), and z/y = log(5), so ...

z/x +z/y = log(2) +log(5) = log(2·5) = 1

z = 1/(1/x +1/y) = 1/((x+y)/(xy))

z = (xy)/(x+y)

4 0

2 years ago

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A drawing of a surfboard in a catalog shows its length as 8 4/9 inches. Find the actual length of the surfboard if 1/2 inch leng

jonny [76]

3/8 of a foot = 3/8 x 12/1 or 4 1/2 inches

So our 1/2 inch grows by a factor of 9 because 4 1/2 ÷ 1/2 = 9 Think how many 1/2 dollars are in 4 1/2 dollars. (Answer is 9)

So our 8 4/9 in the catalog has to grow the same

8 4/9 x 9 = 8 4/9 x 9/1 = 76/9 x 9/1 or 76 inches which is 6 ft 4 inches.
(76 ÷12 = 6 r4)

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3 years ago

The base of the triangle decreases by 30% and the height increases by 20%.

sergeinik [125]

Answer:

Area decreases by 16%

Step-by-step explanation:

Use formula for the area of the triangle

$A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}$