The length of a rectangle is 6 less than triple its width. If the perimeter is 84 feet, find the length and width of the rectangle.

Answer:

Step-by-step explanation:

Let the tip be x.

You have to take 15% of 90 to get x.

The equation looks like

15/100 * 90 = x         Multiply the numerator of the fraction by 90

1350/100 = x            Divide by 100    

x = 13.50

So the tip is 13.50

There are other ways you could do this problem, but I think this is the most easily understood.

A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?

$13.50

Let the tip be x.

→ x = [tex] 90 \times \frac{15}{100} [/tex]

→ x = [tex] \frac{1350}{100} [/tex]

→ x = $13.50

Answer:

8. 14

9. 720

Step-by-step explanation:

Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).

8. Find the greatest number that can divide 392 and 462 exactly.

Find the GCD of 392 and 462:

  1. Find the prime factorization of 392

2^3 × 7^2 (2 × 2 × 2 × 7 × 7)

  2. Find the prime factorization of 462

2 × 3 × 7 × 11

  3. To find the GCD, multiply all prime factors common to all numbers  

GCF = 2 × 7, therefore GCD = 14.

9. What is the smallest number that is divisible by 20, 48, and 72?

Find the LCM of 20, 48, and 72:

  1. Find the prime factorization of 20

2^5 (2 × 2 × 5)

  2. Find the prime factorization of 48

2^4 x 3 (2 × 2 × 2 × 2 × 3)

  3. Find the prime factorization of 72

2^3 x 3^2 (2 × 2 × 2 × 3 × 3)

  4. To find the LCM, multiply all prime factors

LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720

Calculator Input:

The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.

For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).

Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.

Answer:

y=arcsec(x) (C)

Step-by-step explanation:

The graph of y=arcsec(x) is equal to the graph shown in the question

Answer:

correct answer is explained in the picture attached (tap on the image to view it fully)

Answer:

3/6

Step-by-step explanation:

Answer:

3/6 é a resposta tabom me de coraçãozinho

Step-by-step explanation:

8x = 1

x = 1/8

So x = 1/8 is the correct answer

Answer:

the table which is the second choice

Step-by-step explanation:

Option A:

1.5 lb bag for $12.99

unit price: $12.99/(1.5 lb) = $8.66/lb

Option B:

unit price: $2.8/(0.2 lb) = $14/lb

Option C:

For the weight of 1 lb, the cost is $10.

unit price: $10/lb

Answer:

the table which is the second choice

Answer:

232.820513

Step-by-step explanation:

Let the number you are looking for is x,

equation,

90.8 * x = 39

90.8/39 = 2.32820513

Now we multiply 100 because we are dealing with percentages so,

2.32820513 * 100 = 232.820513

So, the answer is 232.820513

Hope this helps! Good luck to everyone!

Answer:

-3/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(-1-4)

m=3/(-5)

m=-3/5

Answer:

I believe that it would take 5 hours for 8 people to paint 8 fences.

Step-by-step explanation:

If 2 people are painting 2 fences in 5 hours, then 8 people can also paint 8 fences in the same time because each person is painting one fence. It take 5 hours to paint 1 fence if 1 person is painting it. The same goes for 2 or 8 people painting the same amount of fences as there are people. Im not 100% sure if this is accurate but I hope it helps.

18 / 44 = 9 / 22

There are 44 nuts in the bag, and 18 of them are peanuts. If you simplify the fraction, you get 9/22 chance of getting a peanut.

Answer:

9 / 22

Step-by-step explanation:

combine 14, 12, and 18

=44

then, divide 18 by 44

then you get 9 / 22

Answer:

6a+6b=ma

?? Not 100% sure, so have someone else answer please too

Answer:

ok, anddddd???

Step-by-step explanation:

Answer:

37,145

Step-by-step explanation:

43,700×15%= 6,555

43,700-6,555= 37,145

the previous population was 37,145

so 7 x 5.5 = 35.5,

250 x 5.5 = 1375

1/5 of 1375 = 275

2/5 = 550, 3/5 = 825

he spent 825

Answer:

The easiest method is to find the x-intercepts of the quadratic function by substituting y=0 in the function and solving it to find the possible values of x. The number of all possible values of x is the number of x-intercepts of the graph.

[tex]12 - (8x - 20) < 12 <=> 12- 8x+20<12<=> -8x <12-20-12 \\<=>-8x <-20<=>8x>20<=>x>\frac{20}{8}=\frac{5}{2}[/tex]

ANSWER: x > 5/2

Ok done. Thank to me :>

Answer:

[tex]x = \frac{5}{2} [/tex]

Step-by-step explanation:

12-(8x-20)<12

12-8x+20<12

-8x<12-12-20

-8x<-20

divide both by negetive 8

x>5/2

x> 2.5

Answer:

C

Step-by-step explanation:

to have a common difference of -8.5, the sequence has to consistently go down by 8.5.

in the first one, y would go up by 2 every time x goes up by 1, so its not that one.

in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.

in the third one, each time it goes down by 8.5 so this is the answer.

the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.

Answer:

$85 per chair

Step-by-step explanation:

add the discount (55) to the total amount paid (455).

you should get 510

after this, divide 510 by 6 (because 6 chairs), and you should find that each chair costs $85

Answer:

y=42/15x+8

Step-by-step explanation:

We can get the change in height with 50-8, or 42. Now we divide, so 42/15. I'm assuming this is a slope question, so it would be y=42/15x + 8. Let me know if this is the way you want the answer.

Answer:

x=8+(number of feet/number of months)

Step-by-step explanation:

Answer:

Step-by-step explanation:

a steel batch of t = 830 c is quenched in an oil bath (mol = 450kg / tol = 20c). What is the maximum mass of steel in kg allowed in the batch. Have the oil not heated up to more than 30 c?

useful data: ol c = 1.8kj / (kg.K)

steel: c = 0.49kj / (kg.K m steel =         kg

[tex]y - intercept = 3[/tex]

[tex]x - intercept = - 4[/tex]

Answer:

Step-by-step explanation:

$6,146.76.

Answer:T he first season of Black Ops Cold War has been underway for almost a month now. The game has been having great success since it released back in November. One aspect of the multiplayer that a lot of players were disappointed with, was the lack of a final killcam.

Step-by-step explanation:

Answer:

The final Killcam is a Call of Duty staple. Every player in the game can see who got the final elimination of the game, and how they did it. The randomness is part of the fun; sometimes you’ll see an insane 360 Tomahawk kill, or you can have a good laugh at someone missing all of their shots before finally getting the elimination.

However, Black Ops Cold War has opted for a ‘Best Play’ system. Most of the time, you’ll see someone get a multi-kill from some point in the match. While you do often see impressive plays, the fun randomness element is mostly taken out and this has had a negative impact on Search and Destroy.

A Treyarch developer has now confirmed that they will be adding the final Killcam system to Cold War’s S&D in the future.

Answer:

C(t) = 6/55

Step-by-step explanation:

Given:

t = 10

Work:

[tex]C(t)= \frac{4 +2t}{120+10t} \\\\C(t)= \frac{4 +2(10)}{120+10(10)}\\\\C(t)= \frac{4 +20}{120+100}\\\\C(t)= \frac{24}{220}\\\\C(t)=\frac{6}{55}[/tex]

Answer: 471 years old

Step-by-step explanation:

1946-1475= 471

Step-by-step explanation:

p+4<-24

collect like terms

p<-28

[tex]\\ \rm\Rrightarrow p+4<-24[/tex]

[tex]\\ \rm\Rrightarrow p<-24-4[/tex]

[tex]\\ \rm\Rrightarrow p<-28[/tex]

So

[tex]\\ \rm\Rrightarrow p\in (-\infty,-28)[/tex]

Answer:

5x: linear; monomial

-7: constant; monomial

x^2 + 4: quadratic, binomial

x^2 - 3x + 11: quadratic, trinomial

2x - 9: linear, binomial

Step-by-step explanation:

Name using degree: just count the highest number of variables in a single term. if it's 0, its a constant polynomial, if it's 1 it's linear, 2 quadratic, 3 cubic

Name using number of terms: just count the number of "things" added or subtracted. If there's one, it's a monomial, two: binomial, three: trinomial.

Answer:

[tex] \dfrac{4m^2n}{3p} [/tex]

second choice

Step-by-step explanation:

Deal with the numbers first, then with each set of equal variables.

Use the rule a^m/a^n = a^(m - n)

4/3 cannot be reduced, so the number part remains 4/3.

m^4/m^2 = m^2

n^3/n^2 = n^1 = n

p^3/p^4 = p^-1 = 1/p

Now put it all together:

[tex] \dfrac{4m^2n}{3p} [/tex]

second choice

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^4n^3p^3}{3m^2n^2p^4}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4}{3}m^{4-2}n^{3-2}p^{3-4}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2np^{-1}}3}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2n}{3p}[/tex]