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kipiarov [429]
3 years ago
14

Jones assembles 200 relays in the same time that Smith assembles 180. When Jones has completed 300 relays, how many will Smith h

ave turned out?
Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

270

Step-by-step explanation:

Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.

S/J = 180/200

Now you make your proportion

S/J = x/300

But the 2 ratios much remain the same.

180/200 = x / 300                  Multiply both sides by 300

180*300/200 = x                    Multiply the numerator together.

54000/200 = x                       Do the division

270 = x

Smith will have turned out 270 relays.

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KatRina [158]

Answer:

Vel_jet_r =  (464.645 mph)  North + (35.35 mph) East

||Vel_jet_r|| =  465.993 mph

Step-by-step explanation:

We need to decompose the velocity of the wind into a component that can be added  (or subtracted from the velocity of the jet)

The velocity of the jet

500 mph North

Velocity of the wind

50 mph SouthEast = 50 cos(45) East + 50 sin (45) South

South = - North

Vel_ wind = 50 cos(45) mph  East  -  50 sin (45) mph North

Vel _wind =  35.35 mph  East  -  35.35 mph North

This means that the resulting  velocity of the jet is equal to

Vel_jet_r =  (500 mph - 35.35 mph) North + 35.35 mph East

Vel_jet_r =  (464.645 mph)  North + (35.35 mph) East

An the jet has a magnitude velocity of

||Vel_jet_r|| =  sqrt ((464.645 mph)^2 + (35.35 mph)^2)

||Vel_jet_r|| =  465.993 mph

7 0
3 years ago
Write 1,270 in expanded form
Vikentia [17]

Answer:

1,000 + 200 + 70

Step-by-step explanation:

Expanded form is a way of writing numbers to see the math value of individual digits.

so for example:

5,000 + 300 + 20 + 3

is 5,323.

4 0
3 years ago
Determine whether each view represents the object. Assume there are no hidden cubes. HELP PLEASE I DON'T UNDERSTAND!!
zubka84 [21]

Answer:

The answer is: #3 yes, yes

Step-by-step explanation:

The first 3 shapes in the image count as the first view and the 4th shape is the second view. They both represent the object.

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Answer: 0.500

Step-by-step explanation:

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Let x be a random variable that represents numbers .

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As the area occupied by standard normal curve less than equal to 0 = 0.500

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2 years ago
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Karolina [17]
40
40 \times 32
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