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3 years ago

Two less than thrice a number is 2 more than two third of

Mathematics

1 answer:

harkovskaia [24]3 years ago

8 0

Step-by-step explanation:

Let the two numbers be x and y.

$\therefore \: 3x - 2 = \frac{2}{3} y + 2 \\ \\ \therefore \: 3x - \frac{2}{3} y = 2 + 2\\ \\ \therefore \: 3x - \frac{2}{3} y = 4 \\ \\ \therefore \: 9x - 2y = 12$

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Guys, please please help me

agasfer [191]

Answer:

508.68

Step-by-step explanation:

Upper and lower surfaces of the cylinder:

$\pi r^{2} =9\pi \\S=2*9\pi =18\pi$

Side area of the cylinder:

$S=sh=\pi dh=6\pi *3*8=144\pi$

The total area:

$S=114\pi +18\pi =162\pi =162*3.14=508.68$

5 0

3 years ago

Please Help!

Flura [38]

Let x be the length of the train.

On the basis of the observer;
Speed of the train = x/6

On the basis of the bridge;
Total distance covered by any point of the train= 350+x
Speed = (350+x)/20

Equating the two expressions of speed;
x/6 = (350+x)/20
20(x) = 6(350+x)
20x = 2100+6x
(20-6)x = 2100
14x = 2100
x= 2100/14 = 150 m
Speed = x/6 = (350+x)/20 = 150/6 = 500/20 = 25 m/s.

Therefore,
Length of train = 150 m
Speed of train = 25 m/s

8 0

4 years ago

5. Find the distance between points at (6. 11) and (-2,-4). 16 17 18 19

Hoochie [10]

I think the correct answer is 17

4 0

3 years ago

I need help I’m in my class right now plz help me

Maru [420]

Answer:

minus 7a plus 11

Step-by-step explanation:

nfiedneifnejd

3 0

3 years ago

Rick is buying a small sailboat for $3,000 with a down payment of $1,000. The bank approved a simple interest flat rate loan for

Anni [7]

Option C

Monthly loan payment is $ 93.33

Solution:

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

Hence net principal is given as:

net principal = p = $ 3000 - $ 1000 = $ 2000

p = $ 2000

The bank approved a simple interest flat rate loan for 2 years at 6% APR

Hence number of years = 2 years

Rate of interest = 6 %

Let us first calculate the simple interest

The formula for simple interest is given as:

$\text{ simple interest } = \frac{ p \times n \times r}{100}$

Substituting the given values,

$\text{ simple interest } = \frac{ 2000 \times 2 \times 6}{100}\\\\\text{ simple interest } = 20 \times 2 \times 6 = 240$

Thus simple interest = $ 240

Total amount payable = principal + simple interest

Total amount payable = $ 2000 + $ 240

Total amount payable = $ 2240

How much are the monthly loan payments?

Here number of years = 2 years

To calculate the monthly payment divide the total amount payable by 24 (since 2 year = 24 months )

$\text{ Monthly loan payment } = \text{ Total amount payable } \div 24$

$\text{ Monthly loan payment } = \frac{2240}{24} = 93.33$

Thus monthly loan payment is $ 93.33 Option C is correct

4 0

3 years ago