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3 years ago

W Given that m + 3n: m +9n 2:5. Write an equation in terms of m and n m=

Mathematics

1 answer:

alexira [117]3 years ago

3 0

Answer:

m=1.5

Step-by-step explanation:

simultaneously

3m+9n=6

- m+9n=3

2m=3

m=1.5

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Josh went to applebee and enjoyed a delicious steak. He enjoyed his server and wanted to give an extra special tip. Usually josh

Sonbull [250]

Answer:

Josh's total bill is $ 27.825

Step-by-step explanation:

Given:

The subtotal of the Josh Bill = $21.00

Finding the usual amount Josh gave as Tip To his sever:

Usually josh tips 20% to all servers

So Tip = 20% of his subtotal

=> $20\% \times 21$

=> $\frac{20}{100} \times 21$

=> $0.2 \times 21$

=>4.2

So Josh usually tips $4.2 to his server

Finding the amount Josh gave 25% as Tip To his sever:

But now he tips 25% which is

=> 25% of 21

=> $\frac{25}{100} \times 21$

=> $0.25 \times 21$

=> 5.25

Thus the tip amount will be $5.25

So he will be giving (5.25 - 4.2) = $1.05 more than the usual tip

Finding the total bill

The total bill = subtotal+ 7.5% sales tax + 25% tip

=> 21 + 7.5 % of 21 + 25% of 21

=> $21 + \frac{75}{100} \times 21 + \frac{25}{100} \times 21$

=> $21 +0.075 \times 21 + 0.25 \times 21$

=> 21 +1.575 +5.25

=>27.825

3 0

3 years ago

Liz plays the pianao for 2 hours a day, 5 days a week. How many minutes is that?!?!?

Gnom [1K]

Answer: 10 minutes. explanation; 5 x2 = 10

3 0

3 years ago

Read 2 more answers

PLZ HElp!! Solve the inequality. –6 < 2x – 4 < 4

nekit [7.7K]

Answer:

- 1 < x < 4

Step-by-step explanation:

$- 6 < 2x - 4 < 4 \\ - 6 + 4 < 2x < 4 + 4 \\ - 2 < 2x < 8 \\ \frac{ - 2}{2} < x < \frac{8}{2} \\ \purple{ \boxed{ \bold{ - 1 < x < 4}}}$

6 0

3 years ago

Help I was never taught how to do this im confused

vazorg [7]

Answer:

Step-by-step explanation:

Area of a triangle = (bh)/2

Where b = base length and h = height

Given base length: 18ft

Given height: 4ft

This being known let's define the variables

b = 18

h = 4

Now to find the area we simply plug in these values into the formula

Area = (18)(4)/2

Simplify multiplication 18 * 4 = 72

Area = 72/2

Simplify division

Area = 36

5 0

3 years ago

f(x) = 3 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be left endpoints. (Round your ans

Kruka [31]

Answer:

$\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558$

Step-by-step explanation:

We want to find the Riemann sum for $\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx$ with n = 6, using left endpoints.

The Left Riemann Sum uses the left endpoints of a sub-interval:

$\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)$

where $\Delta{x}=\frac{b-a}{n}$ .

Step 1: Find $\Delta{x}$

We have that $a=0, b=\frac{3\pi }{4}, n=6$

Therefore, $\Delta{x}=\frac{\frac{3 \pi}{4}-0}{6}=\frac{\pi}{8}$

Step 2: Divide the interval $\left[0,\frac{3 \pi}{4}\right]$ into n = 6 sub-intervals of length $\Delta{x}=\frac{\pi}{8}$

$a=\left[0, \frac{\pi}{8}\right], \left[\frac{\pi}{8}, \frac{\pi}{4}\right], \left[\frac{\pi}{4}, \frac{3 \pi}{8}\right], \left[\frac{3 \pi}{8}, \frac{\pi}{2}\right], \left[\frac{\pi}{2}, \frac{5 \pi}{8}\right], \left[\frac{5 \pi}{8}, \frac{3 \pi}{4}\right]=b$

Step 3: Evaluate the function at the left endpoints

$f\left(x_{0}\right)=f(a)=f\left(0\right)=3=3$

$f\left(x_{1}\right)=f\left(\frac{\pi}{8}\right)=3 \sqrt{\frac{\sqrt{2}}{4} + \frac{1}{2}}=2.77163859753386$

$f\left(x_{2}\right)=f\left(\frac{\pi}{4}\right)=\frac{3 \sqrt{2}}{2}=2.12132034355964$

$f\left(x_{3}\right)=f\left(\frac{3 \pi}{8}\right)=3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=1.14805029709527$

$f\left(x_{4}\right)=f\left(\frac{\pi}{2}\right)=0=0$

$f\left(x_{5}\right)=f\left(\frac{5 \pi}{8}\right)=- 3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=-1.14805029709527$

Step 4: Apply the Left Riemann Sum formula

$\frac{\pi}{8}(3+2.77163859753386+2.12132034355964+1.14805029709527+0-1.14805029709527)=3.09955772805315$

$\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558$

5 0

3 years ago