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Anna007 [38]
3 years ago
5

The difference of half of a number and three is equivalent to negative five?

Mathematics
1 answer:
swat323 years ago
8 0

Answer:

-7

Step-by-step explanation:

Let the number be represented with 'Y'

Half of the number will be = Y/2

The difference of half of a number and 3

= Y/2 - 3

Is equivalent to negative 5

That is,

Y/2 - 3 = -5

y/2-3/1 = -5/1

Collect like terms

y/2 = -5/1+3/2

y/2 = -7/2

Multiply both sides by 2

y/2 ×2 = -7/2×2

Y = - 7

Hence the number is negative 7

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5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat
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Answer:

hello your question is incomplete attached below is the complete question

answer :

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

Step-by-step explanation:

<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t )  to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>

lets assume Distance to swim  =  x  ( according his sister )

determine the value of x = \sqrt{400^2 + 1400^2 }   therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction  = 1456.02 / 150 = 9.71 minutes

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

<u />

<u />

<u />

6 0
3 years ago
If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______.
xenn [34]

Answer: 142°15'

Explanation:

Supplementary angles are angles that add up to make a straight angle (180^{\circ}).

Therefore, we must find the angle ∠B such that

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We know that ∠A = 37°45', so we can re-arrange equation (1) to find the magnitude of ∠B:

∠B = 180° - ∠A = 180° - 37°45' = 142°15'

So, the correct answer is

142°15'

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