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3 years ago

What is the sum of 4/15 + 8| 1/3 ?

Mathematics

1 answer:

stealth61 [152]3 years ago

3 0

Answer:

8 3/5

Step-by-step explanation:

Fractions are added using a common denominator. Here, the denominator 3 is a factor of the denominator 15, so the common denominator can be 15, which is the least common multiple of the two numbers.

The fraction 1/3 is equal to 5/15, found by multiplying by 1 in the form 5/5. Then the sum is ...

4/15 + 8 5/15 = 8 + (4/15 +5/15) = 8 9/15

The fraction 9/15 can be reduced by factoring out 3/3: 9/15 = (3/5)(3/3). Then the reduced mixed number sum is ...

4/15 +8 1/3 = 8 3/5

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What is the distance between (4,8), 6=y+ 2x

docker41 [41]

Answer:

2√5

Step-by-step explanation:

The formula for the distance between a point (x, y) and a line in general form, ax +by +c = 0 is ...

$\text{distance}\,=\dfrac{|ax+by+c|}{\sqrt{a^2+b^2}}$

The general form of your equation for the line is ...

2x +y -6 = 0

so the distance to point (x, y) = (4, 8) is ...

$\text{distance}\,=\dfrac{|2\cdot 4+8-6|}{\sqrt{2^2+2^2}}=\dfrac{10}{\sqrt{5}}=2\sqrt{5}$

The distance between the point and line is 2√5.

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Step-by-step explanation:

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Harry can read 40 pages in 25 minutes. How many pages can he read in 11/2 hours?

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Step-by-step explanation:

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2 years ago

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When servicing a heating boiler and radiators, a plumer knows that the time he will take is given by the formula

Allushta [10]

Answer:

£110

Step-by-step explanation:

We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.

Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:

$(45*4)/60$

We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:

$180/60=3$

Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:

$3*20=60$