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eduard
3 years ago
7

Convert 5.4 ⋅ 103 to standard form.

Mathematics
1 answer:
Darya [45]3 years ago
4 0
5.4 * 10³ = 5,400  .
_____________________________
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Half an hour after leaving her house Beverly was 20 miles from home. At this point she merged onto the highway and was traveling
N76 [4]

Answer:

1. 45.71 miles

2. 10 miles

3. 89.43 miles

4. 0.79 hr

5. 0.025 hr

Step-by-step explanation:

speed = distance/time

After 4 hrs Beverly was 200 miles from home , however she had spent 0.5hr travelling for 20 miles prior to getting to the highway.

Therefore;

Constant speed before Highway = 20/0.5 = 40 miles/hr

Constant speed at Highway = \frac{(200-20)}{(4-0.5)} = 51.43 miles/hr

1. in 1 hr beverly will have travelled;

⇒ (20 miles in 0.5 hr ) + (0.5 hr  at speed 51.43 miles/hr)

⇒ 20 + (0.5 x 51.43) = 45.71 miles

2. In 0.25 hr beverly had not reached the highway

⇒ distance = speed x time

⇒ distance = 40 x 0.25 = 10 miles

3. in 1.85 hrs beverly will have travvelld;

⇒ (20 miles in 0.5 hr ) + (1.35 hr at speed 51.43 miles/hr)

⇒ 20 + 69.43 = 89.43 miles

4. Time taken to get to 35 miles

⇒ (20 miles in 0.5 hr ) + (15 miles  at speed 51.43 miles/hr)

⇒ 0.5hr + (15/51.43) hr = 0.79 hr

5. Time taken to travel 1 mile

 ⇒ time = distance / speed = 1 mile  / 40 miles/hr

⇒ time = 0.025 hr

8 0
3 years ago
HELP PLEASE<br><br> ((ATTACHMENT TO HELP ANSWER, BECAUSE THERE'S REALLY NO QUESTION WITH IT))
BabaBlast [244]
Linear- blue graph, table 2, 2x-3y=7, y=3\x +2, y=-4
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you're 495 miles from home and you are driving toward home at an average of 45mph. How long will it take to drive home if you ma
LenaWriter [7]

11 hours because I did the math

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What is one plus four
wariber [46]

Answer:

1+4=5?

Step-by-step explanation:

5..?yeah...um..thx for the free points..^^

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3 years ago
Read 2 more answers
Use exterior angles to show that the angle sum of quadrilateral PQRS is 360°.​
Shkiper50 [21]

Answer:

I don't really know but one triangle is 180 degrees so two added together is 360 degrees...

but ohh I remembered

a=c+d (since a+b=180 and c+d+b=180)

e=g+h (since e+f=180 and g+h+f= 180)

and the fact is that c+d+g+h+b+f=the angle sum of quadrilateral PQRS

a+e+b+f= the angle sum of quadrilateral PQRS (by substitutions)

a+e+b+f=360 (four angles are from one origin so it's 360 degrees )

8 0
3 years ago
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