6 hours more per week than Theodore studies.how to write this as an algebraic expression.

Answers

Answer 1
Answer: To answer this item, we let x be the number of hours per week that Theodore studies. 6 hours more than this value will give us the expression of x+6. The number of hours that a person will study is equal to x+6 in comparison to Theodore's data.

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Vince got a haircut from his barber that cost $15 and gave his barber a 20% tip.How much money did vince give his barber from the haircut and tip?

$ ____

Answers

Given:
cost of haircut : $15
tip: 20% of cost

15 + (15 x 20%) ⇒ 15 + 3 = 18

Vince gave $18 to his barber from the haircut and tip.
Vince gave his barber a total of 18 dollars

In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 28 vowels and 12 consonants, what is the probability you will choose a consonant and then a vowel?

Answers

Answer:

For consonants the answer is 28/40, which simplified is 7/10.

For vowels the answer is 12/40, which simplified is 3/10.

Question 3, I give thanks and 5 stars so you get more points :P

Answers

The probability would be 2/11 because there are two markers that are purple and gray. Also, there are 11 markers. So my final answer is 2/11.

Lim x→∞ (1/tanx-1/x)

Answers

Answer:

0

Step-by-step explanation:

As x approaches infinity,

Tan(x) approaches infinity and

1/tan(x) approaches 0

1/x also approaches 0

0 - 0 = 0

If 3x+2y =12 and xy=6, then find the value of 9x^(2) + 4y^(2)

Answers

xy=6
x=6/y......1
3x+2y=12
from1
3*(6/y)+2y=12
{after solving}2y^2-12y+18=0
y^2-6y+9=0      {taking y common}
y^2-3y-3y+9=0
y(y-3)-3(y-3)=0
y=3,3............2
putting 2 in 1
x=2.........3

9x^2+4y^2=
from 2 and 3
9*4+4*9=36+36=72




3x+2y=12\n (3x+2y)^2=144\n 9x^2+12xy+4y^2=144\n\n 9x^2+4y^2=144-12xy\n 9x^2+4y^2=144-12\cdot6\n 9x^2+4y^2=144-72\n \boxed{9x^2+4y^2=72}

Antonio is standing on a at the edge of a canyon. He yells loudly and hears an echo 1.2 s later. How far away is the other side of the canyon? You may assume the speed of sound is 340 m/s.Russell is watching a thunderstorm. He hears the thunder 5 s after seeing a flash of lightning. How far away was the lightning?

Answers

Answer:

  • 204 m
  • 1700 m

Step-by-step explanation:

a) In 1.2 seconds, sound will travel a distance of ...

  (1.2 s)(340 m/s) = 408 m

This is the round-trip distance, so the reflecting surface is half that distance away.

The other side of the canyon is 204 m away.

__

b) In 5 seconds, the sound will travel a distance of ...

  (5 s)(340 m/s) = 1700 m

This is the one-way distance, so the lightning is about 1700 m away.