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makkiz [27]
3 years ago
12

Question

Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0

Answer:

the ratio of Jan's average walking rate to Bev's average walking rate is 3/4 or 3 : 4

Step-by-step explanation:

Let x and y represent jan and Bev's average walk rate.

Also t represent the time taken for Bev to walk 4 miles, so it will take jan 2t time to walk 6 miles

Given that;

It takes Jan twice as many hours to walk 6 miles as it takes Bev to walk 4 miles

For Bev;

y = 4/t

For Jan;

x = 6/(2t) = 3/t

the ratio of Jan's average walking rate to Bev's average walking rate is;

x/y = (3/t)/(4/t) = 3/4

the ratio of Jan's average walking rate to Bev's average walking rate is 3/4 or 3 : 4

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One hundred coins weigh 346 grams. How many grams does 1 coin weigh?
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A cylindrical container of height 28 cm and diameter 18 cm is filled with water. The water is then poured into another container
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Step-by-step explanation:

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Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200
Mandarinka [93]

Answer:

<h2>x = 3.1</h2>

Step-by-step explanation:

<h3>{10}^{x}  = 1200</h3>

<u>To solve first take logarithm to both sides</u>

That's

<h3>log_{10}(10) ^{x}  =  log_{10}(1200)</h3><h3 /><h3>log_{10}(10)^{x}  = x log_{10}(10)</h3>

But

<h3>log_{10}(10)  = 1</h3>

So we have

x =  log_{10}(1200)

<u>Write 1200 as a number with the factor 100</u>

That's

1200 = 100 × 12

So we have

<h3>x =  log_{10}(100 \times 12)</h3>

<u>Using the rules of logarithms</u>

That's

<h3>log_{a}(x \times y)  =  log_{a}(x)  +  log_{a}(y)</h3>

Rewrite the expression

That's

<h3>x =  log_{10}(100)  +  log_{10}(12)</h3><h3 /><h3>x =  log_{10}(10)^{2}  +  log_{10}(12)</h3><h3>x = 2 log_{10}(10)  +  log_{10}(12)</h3><h3>log_{10}(10)  = 1</h3><h3 /><h3>x = 2 +  log_{10}(12)</h3>

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

8 0
3 years ago
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