How to write a verbal expression for 2n-10

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Simplify for 2 points cosx + cos(180º -x)

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cos x+ cos(180-x)
=cos x + (cos 180)(cosx) +sin(180)(sinx))
=cos x+{-1(cos x)+0(sinx)
Note cos 180^(o)=-1 sin 180^(o)
= cos x-cos x
=0

Mr. juan is three times old as his son eric. sum of their ages is 64. how old are they?

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Answer:

Mr Juan is 48 years old and Eric is 16 years old

Step-by-step explanation:

let Eric's age be x, then his father is 3x ( three times as old as Eric )

the sum of their ages is 64 , that is

x + 3x = 64 ( simplify left side )

4x = 64 ( divide both sides by 4 )

(4)/(4) x = (64)/(4) , that is

x = 16

and 3x = 3 × 16 = 48

Mr Juan is 48 and Eric is 16

In ΔPQR, sin P= 3/4, sin R= 2/5, and p=40. Find the exact value of r.

Answers

Hello,

sin (P)/p=sin (R)/r
==>r=sin (P)/(p* sin (R))
r= (3/4)/(40*2/5)
r=3/4 * 5 /(40*2)=(3/4) /16=3/64

A carton of paper is priced at $27.00 now. If the papergoes on sale for 25% off the current price, what will be the sale price of the carton?

Answers

If a pack of paper costs $27.00 right now. If the paper is discounted by 25% from its regular price, the carton will be sold for $6.75.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that a carton of paper costs $27.00 right now, If the price of the paper is discounted by 25%,

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

The sale price of the carton is,

sale price = 25% of the current price

sale price =(25/100)× $27.00

sale price = $6.75

Thus, if a pack of paper costs $27.00 right now. If the paper is discounted by 25% from its regular price, the carton will be sold for $6.75.

Learn more about the percentage here:

brainly.com/question/8011401

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Divide the 27 by 4 and that will give you 6.75. Subract the 6.75 from the 27 and theres your answer (20.25) so the sale price is $20.25

Find the vertex of a function f(x)=-3x^2+9x-15 by completing the square

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The vertex will be (3/2, - 33/4)

How many solutions does this linear system have?

y = x+ 2

6x – 4y = –10

Answers

Hello,
y=x+2==>x-y=-2 (1)
6x-4y=-10==>3x-2y=-5 (2)

-2*(1)+(2)==>x=4-5==>x=-1
(1)==>y=-1+2=1

sol ={(-1,1)}