The numbers 1 through 50 are written with red marker on slips of paper while the numbers 51 through 100 are written with blue marker on slips of paper. All the papers are put into a bag and shuffled. One card is randomly selected. a. Find the probability of selecting a number less than 81 or a number written in red.

Answers

Answer 1

Answer: less than 81 is from 80 to 1
that is 80 numbers
80/100=8/10=80%
80%
or a number writtten in red
50/100 are red
50% are red
it says or so it cannot be both
80%-50%=30%

answer is 30%

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Find the sine, cosine and tangent for 15 degrees
.37 7 repeating as a fraction
Which method used to calculate finance charges is most favorable to the card issuer?a. adjusted balance b. average daily balance c. previous balance d. usual balance
COMPLETE THE EXERCISE BELOW TO DECOMPOSE 930
Solve by Elimination.x + 2y = 73x - 2y = -3

How do you solve ∣∣x∣∣-8 < -4

Answers

$||x||-8 < -4\n|x|< 4\nx<4 \wedge x>-4\nx\in(-4,4)$

(5,?) is on the line below. Find the other half of the coordinate.
y = 2/3x + 7

Answers

We need to plug 5 in place of x into the equation of the line and find the y-value.

y = (2/3)x + 7

y = (2/3)5 + 7

y = 10/3 + 7

y = 10/3 + 21/3

y = 31/3

y = 10 1/3

The point is (5, 10 1/3) OR (5, 31/3).

(x,y) = (5, ?), so x = 5. Substitute 5 into the function for x to find the value of y when x = 5. y = 2/3 (5) + 7 = (2 x 5) / 3 + 7 = 10/3 + 7 = 10/3 + 21/3 = 31/3, which equals 10 1/3 or 10.3 repeating.

The function f(x) = x^2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?g(x) = (x + 9)^2 + 4

g(x) = (x + 9)^2 − 4

g(x) = (x − 4)^2 + 9

g(x) = (x + 4)^2 + 9

Answers

Hello,

This is one way:

The vertex is (4,9)

1)g(4)=(4+9)²+4=13²+4≠9

2)g(4)=(4+9)²-4=13²-4≠9

3)g(4)=(4-4)²+9=0²+9=9 yes!!!!

4)g(4)=(4+4)²+9=8²+9≠9

Answer C

Lots of equations that equal 420? Anybody know some?

Answers

If we do it algebraically, we get

x + y = 420

This is the simplest equation. You see now this is a linear pair in two variables. Thus, there will be infinitely many solutions.

E.g - 419 + 1 = 420

42 * 10 = 420
21 * 20 = 420

etc,....

42 times 10
210 times 2
210 + 210
70 times 6
60 tmes 7
140 times 3

and etc

Hi ... i appreciate you to answer this questuion... $\frac{ {x}^(2) }{ {x}^(4) + 1 }$

Answers

Answer:

$\large \boxed{\sf \ \ (x^2)/(x^4+1)=(1)/(7) \ \ }$

Step-by-step explanation:

Hello,

We know that (let's assume that x is different from 0 as we cannot divide by 0)

$x+(1)/(x)=3$

and we want to estimate

$(x^2)/(x^4+1)$

Let's take the square.

$9=3^2=(x+(1)/(x))^2=x^2+2\cdot x \cdot (1)/(x)+(1)/(x^2)=x^2+2+(1)/(x^2)=(x^4+1)/(x^2)+2$

So, we can write

$(x^4+1)/(x^2)=9-2=7 \n \n\n\text{*** let's take the inverse ***} \n \n(x^2)/(x^4+1)=(1)/(7)$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Mandy and Jordan each bought some of the same notebooks and the same three-ring binder. Mandy paid $5.85 for 3 notebooks and 1 binder. Jordan paid $4.65 for2 notebooks and 1 binder. What is the price of one ofthe notebooks?

Answers

Answer:

$1.20

Step-by-step explanation:

Mandy and Jordan each bought some of the same notebooks and the same three-ring binder.

Mandy paid for 3 notebooks and 1 binder = $5.85

Jordan paid for 2 notebooks and 1 binder = $4.65

Mandy paid more money for extra one notebook = 5.85 - 4.65

= $1.20

Therefore, the price of one notebook is $1.20.

1 notebook costs $3.45

let's turn this into 2 equations, n being notebook price, and b being binder price ->

mandy -> 3n + b = 5.85
jordan -> 2n + b = 4.65

we need to take one equation, simplify for b, and plug it into the other equation, let's take jordan's equation for this ->

b = 4.65 - 2n

plug it into mandy's equation

3n + (4.65 - 2n) = 5.85

simpify until you get n = 1.20
take this and plug it back into jordan's equation ->

2(1.20) + b = 4.65
simplify until you get b = 2.25
plus this value into mnady's equation ->

3n + (2.25) = 5.85
simplify until you get that n = 2.25

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