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3 years ago

Write an equation to represent this sentence the difference of a number n and 1.8 is 2

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

N-1.8=2 I think thats the right answer hope this helps

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A manager checked production records and found that a worker produced 160 units while working 40 hours. In the previous week, th

Vitek1552 [10]

Answer:

Decrease

Step-by-step explanation:

160/40 = 4 units/hour

138/36 = 3.833 units/hour

3.833 < 4

So it's a decrease

5 0

4 years ago

10x - 5y = -25 l0x+8y=14

balandron [24]

Greetings,

I hope you and your family are staying safe and healthy!

Answer: x = -1 and y = 3

Step-by-step explanation:

$10x - 5y = -25 \\10x + 8y = 14$

Let's start by solving $10x - 5y = -25$ for $x$

$10x - 5y=-25$

Add 5y to both sides

$10x - 5y + 5y = -25+5y \\10x = 5y - 25$

Now we need to divide both sides by 10

$\frac{10x}{10} = \frac{5y-25}{10}$

$x = \frac{1}{2} y + \frac{-5}{2}$

That's not the answer for x. We are not done yet :)

Now we need to substitute $\frac{1}{2} y + \frac{-5}{2}$ for $x$

$10x + 8y = 14\\10(\frac{1}{2} y + \frac{-5}{2} + 8y = 14$

Now we need to simply both sides

$13y - 25 = 14$

Now we need to add 25 to both sides

$13y - 25 + 25 = 14 + 25 \\13y = 39 \\y = \frac{39}{13} \\y=3$

We have the valuee for y! Now we need to find the value for x

To find the value of x, we need to substitute 3 for y in:

$x = \frac{1}{2} y + \frac{-5}{2} \\x = \frac{1}{2} 3 + \frac{-5}{} \\x = -1$

Therefore,

The answer is x = -1 and y = 3

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3 0

3 years ago

Simplify the expression cot^2x - cot^2x cos^2x

andrew-mc [135]

Cot^2x - cot^2x cos^2x
= cot^2x - {(cot^2x)(cos^2x)}
= cot^2x { 1 - cos^2x }
= cot^2x { sin^2x }
= (cos^2x/sin^2x) { sin^2x }
= cos^2x

8 0

3 years ago

The supplement of a angle 30 degrees less than twice the measure of the angle itself. Find the angle and supplement

In-s [12.5K]

Answer:

The angle: $70\°$

The supplement: $110\°$

Step-by-step explanation:

By definition, if the sum of two angles is 180 degrees, then this angles are called "Supplementary Angles".

Let be:

$x$ the angle (in degrees) and $2x-30$ its suppplement (in degrees).

Therefore, you can write the following equation in order to find the angle and its supplement:

$x+2x-30=180$

Now, you must solve for "x". Then:

$3x=180+30\\\\x=\frac{210}{3}\\\\x=70$

Then:

$2x-30=2(70)-30=140-30=110$

7 0

4 years ago

Read 2 more answers

A boat costs 10,700 and decreases in value by 6% per year

nikklg [1K]

Value of boat per year (up to 10 years)
initial value=10700
1 year= 1058
2 years= 9416
3 years= 8774
4 years= 8132
5 years= 7490
6 years= 6848
7 years= 6206
8 years= 5564
9 years= 4922
10 years= 4280

hope this helps... tell me if anyone of the answers are what you're looking for

6 0

3 years ago

Read 2 more answers