A boat sailed 560 km in 8 hours. It took three hours to travel

Mathematics

1 answer:

Lynna [10]3 years ago

3 0

Step-by-step explanation:

150 km in 3 hours

= 150 ÷ 3 = 50km/h

Remaining distance = 560 - 150 = 410

Remaining hours = 8 - 3 = 5

Then average speed = 410 ÷ 5 = 82 km / h

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Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces,

liubo4ka [24]

Answer:

The option D) $24x+18y=\dollar 225$ and $x+y^210$ is correct

Step-by-step explanation:

Given that Sam is an artist, and he wants to purchase frames to display his work at home.

He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.

<h3>To find the system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs :</h3>

Let x be the large frames cost

Therefore $x=\dollar 24$

Let y be the medium frames cost

Therefore $y=\dollar 18$

Sam's Spend amount is $\dollar 225$

We can write the system of the given condition by

$24x+18y=\dollar 225$

$x+y^210$

<h3>Therefore the option D) $24x+18y=\dollar 225$ and $x+y^210$ is correct</h3>

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3 years ago

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nekit [7.7K]

Step-by-step explanation:

13+65..........

13(1+5)

7 0

3 years ago

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Find the area between y = 8 sin ( x ) y=8sin⁡(x) and y = 8 cos ( x ) y=8cos⁡(x) over the interval [ 0 , π ] . [0,π]. (Use decima

Marina86 [1]

Answer:

0.416 au

Step-by-step explanation:

Let y1=8sin(x) and y2=8cos(x), we must find the area between y1 and y2

$\int\limits^\pi _0{(8cos(x)-8sin(x))} \, dx = 8\int\limits^\pi _0{(cos(x)-sin(x))} \, dx =\\8(sin(x)+cos(x)) evaluated(0-\pi )=\\8(sin(\pi )-sin(0))+8(cos(\pi )-cos(0))=\\8(0.054-0)+8(0.998-1)=8(0.054)+8(-0.002)=0.432-0.016=0.416$