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victus00 [196]
3 years ago
13

Evaluate 1/3 m - 1 - 1/2 n when m = 21 and n = 12

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

0

Step-by-step explanation:

1/3(21)-1-1/2(12)

7-1-6=6-6=0

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Tim Tradesman had a taxable income of $82,500. He figured his tax from the table.
kakasveta [241]
<span>His earned income level are as follows.
 
The base amount is $14,138.50

</span><span><span>The amount over $62,450 = $82,500 - $62,450 =$20,050

The amount of tax on the third $20,050 is given by 31% of $20,050 = 0.31 x $20,050 = $6,215.5</span>
(i.e. Multiply line 3 by 31% = $6,215.5)

Total tax = $ 14,138.50 + $6,215.50 = $20,354
(i.e. Add lines 2 and 4 = $</span>20,354)
8 0
3 years ago
Find the difference:
VLD [36.1K]

Answer: The difference cannot be found because the indices of the radicals are not the same.

Step-by-step explanation:

To find the difference you need to subtract the radicals. But it is important ot remember the following: To make the subtraction of radicals, the indices and the radicand must be the same.

In this case you have these radicals:

\sqrt[ {8ab}^{3} ]{{ac}^{2} }- \sqrt[ {14ab}^{3}]{{ac}^{2} }

You can observe that the radicands are the same, but their indices are not the same.

Therefore, since the indices are different you cannot subtract these radicals.

6 0
3 years ago
Which is an equation of a direct proportion?<br><br> a.y=1/6x+6 b.y=6/x<br> c.y=6x-6 d.y=6x
Amanda [17]

Answer:

Option D. y=6x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<em>Verify each case</em>

case a) y=(1/6)x+6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case b)  y=6/x

The equation represent an inverse variation

case c) y=6x-6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case d) y=6x

The equation represent a direct variation

6 0
3 years ago
A ramp is 35 ft long rises to a platform. The bottom is 15 ft from the foot of the ramp. Find x, the angle of elevation of the r
sineoko [7]

Answer:

The angle of elevation of the ramp is 64.60°

Step-by-step explanation:

Given;

length of the ramp, L = 35 ft

distance of the platform to the foot of the ramp, d = 15 ft

The length of the ramp forms the hypotenuse side of this right angled triangle;

The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.

Cos x =  adjacent / hypotenuse

Cos x = 15 / 35

Cos x = 0.4286

x = Cos⁻¹ (0.4286)

x = 64.62

x = 64.60°

Therefore, the angle of elevation of the ramp is 64.60°

4 0
3 years ago
Drug X is to be administered intravenously at a dosage of 20 mg/kg. A patient weighing 60 kg should receive
arsen [322]

Answer:

D. 1200 mg

Step-by-step explanation:

In order to find the solution we need to understand that a dosage of 20 mg/kg means that 20 mg are administered to the patient for each kg of his/her weight.

So, if the patient weight is 60 kg then:

Total drug X = (20mg/Kg)*(60Kg)=1200mg.

In conclusion, 1200 mg will be administered to the patient, so the answer is D.

5 0
3 years ago
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