MATHEMATICS HIGH SCHOOL

9n - 2 - 6n - 3
I need help with question.

Answers

Answer 1
Answer: 9n - 2 - 6n - 3
(9n + -6n) + (-2+-3)
=3n -5

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How much is 1,000 milligrams in ounces?

Answers

0.035274 ounces  (oz) is the coversion of 1000 miligrams to ounces

Evaluate b^2 c ^-1 for b = 8 and c = -4.

-16
1/16
16
256

Answers

Just plug in values:

(8)²·(-4)⁻¹ = 64 · 1/-4 = -16

So answer is -16.

Decrease £120 by 45%

Answers

120 * 45  % =  120 *0,45  =  54 £

  120 -54 = 66 £





£66 multiply 120 by 45 get answer n take it away from 120

Rolex worked 40 hours last week. He had 74 deducted from his earnings for taxes. If he had 286 left after the deduction how much does Rolex earn per hour?

Answers

Answer:

Rolex earns $9 per hour.

Step-by-step explanation:

Let the number of dollars he earns each hour be x.

To create our equation we need to find the total number of dollars he earned before his deduction which is 40x.

Then we know that he got 74 dollars deducted from his total earnings leaving him with 286 which gives us an equation. 40x + 74 = 286

40x - 74 = 286          (Equation)

40x = 360                  (Add 74 from both sides)

x = 9                           (Divide both sides by 40)

This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellite is placed in orbit. What is the volume of the nose cone?45 cubic feet
60 cubic feet
90 cubic feet
180 cubic feet

Answers

see the attached figure to better understand the problem

we know that

The volume of the cone is equal to

V=(1)/(3) \pi r^(2) h

in this problem

r=(6)/(2) =3\ ft\n \n h=15\ ft

Substitute the values in the formula above

V=(1)/(3)* \pi* 3^(2)* 15\n \n V=45\pi \ ft^(3)

therefore

the answer is

The volume of the nose cone is 45\pi \ ft^(3)
The formula to get the volume of a cone is
V = (1/3)πr²h
where V is the volume
r is the radius at the base
h is the height

No values are given but simple substitution should give the correct answer.

A system of linear inequalities is shown below.x + y _ 4
y < 2x - 3

Describe the steps to graph the solution set to the system of inequalities.

Answers

A) Isolate y in both inequalities

1) x + y ≥ 4 => y ≥ 4 - x
2) y < 2x - 3

B) Draw the lines for the following equalities:

1) y = 4 - x
2) y = 2x - 3

C) Shade the regions of solutions

1) The region that is over the line y = 4 - x
2) The region that is below the line y = 2x - 3

The solution is the intersection of both regions; this is the sector between both lines that is to the right of the intersection point, including the portion of the very line y = 4 - x and excluding the portion of the very line y = 2x - 3


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