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liraira [26]
3 years ago
12

The cruising speed of the bullet train will be at least 170 miles per hour. Use s to represent the train's cruising speed (in mi

les per hour). Write an inequality to represent the situation
Mathematics
1 answer:
salantis [7]3 years ago
6 0

Answer:

s ≥ 170

Step-by-step explanation:

The problem raises the following statement: "The cruising speed of the bullet train will be at least 170 miles per hour"

Which means that the train has a speed of 170 miles for now or higher, knowing this we can pose the inequality.

Knowing that "s" is the train's cruising speed (in miles per hour), we have to:

s ≥ 170

This would be the inequality that the statement represents.

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In his stamp album, Jamal has 4 new stamps and 6 used stamps. Which ratio can be represented by three fifths ?
SashulF [63]

Answer:

The ratio of used stamps and total stamps can be represented by three fifths.

Step-by-step explanation:

It is give that Jamal has 4 new stamps and 6 used stamps.

New stamps = 4

Used stamps = 6

Total stamps = New stamps + Used stamps = 4 + 6 = 10

We need to find the ratio that can be represented by three fifths

\dfrac{\text{New stamps}}{\text{Used stamps}}=\dfrac{4}{6}=\dfrac{2}{3}

\dfrac{\text{New stamps}}{\text{Total stamps}}=\dfrac{4}{10}=\dfrac{2}{5}

\dfrac{\text{Used stamps}}{\text{Total stamps}}=\dfrac{6}{10}=\dfrac{3}{5}

Therefore, the ratio of used stamps and total stamps can be represented by three fifths.

6 0
3 years ago
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lesya692 [45]

Answer:

Step-by-step explanation:

8 0
3 years ago
Solve the equation 3 cos 2 theta + sin theta = 1 for values of theta from 0 degrees to 180 degrees​
eimsori [14]

Step-by-step explanation:

Recall that

\cos{2\theta} = 1 -2\sin^2\theta

so we can write our original equation as

3 - 6\sin^2{\theta} + \sin{\theta} = 1 or

6\sin^2{\theta} - \sin{\theta} - 2 =0

Let x = \sin{\theta} so our equation becomes

6x^2 - x - 2= 0

which gives us two roots: x = -\frac{1}{2} and x = \frac{2}{3}.

This is equivalent to \theta = 150° and \theta = 41.8°

6 0
3 years ago
A rectangular field is two times as long as it is wide. If the perimeter of the field is 450 feet, what are the dimensions of th
lys-0071 [83]

Hi There,

----------------------------------------

We Know:

Total Perimeter = 450 feet

Length is 2 times the width.

----------------------------------------

Solution:

Length = 150

Width = 75

75 x 2 = 150

150 + 150 + 75 + 75 = 450

----------------------------------------

Answer:

Length = 150 feet.

Width = 75 feet.

----------------------------------------

Hope This Helps :)

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A cone has a height of 18 meters and a radius of 12 meters. What is its volume?
anastassius [24]

Answer: 2714.34m3

Step-by-step explanation:trust bra

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