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AfilCa [17]
3 years ago
10

A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. how far will it travel in 21 minutes? in 1 hour?

Mathematics
1 answer:
GaryK [48]3 years ago
8 0

Answer:

Step-by-step explanation:

1¾ miles/(2⅓ minutes) = (7/4 miles)/(7/3 minutes) = ¾ mile/minute

21 minutes × ¾ mile/minute = 15.75 miles

60 minutes × ¾ mile/minute = 45 miles

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A circle is centered at the point (-3,2) and passes through the point (1,5). What is the radius of the circle?
Akimi4 [234]

Answer:

5

Step-by-step explanation:

The radius is a distance on a circle from the center to a point on the circle.

We have both of these points describe here in this definition.  Using the distance formula will give us the radius.

\sqrt{(x \text{ difference })^2+(y \text{ difference})^2

The difference between 1 and -3 is 1-(-3)=4.

The difference between 5 and 2 is 5-2=3.

\sqrt{4^2+3^2}

\sqrt{16+9}

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5

8 0
3 years ago
Availability is the most important consideration for designing servers, followed closely by scalability and throughput. a. [10]&
SashulF [63]

Answer:

a) Mean Time to failure (MTTF) = (10^7) hours

b) Availability of the system = 1

c) Mean Time to failure for 1000 processors = 10^4 hours.

Step-by-step explanation:

a) Failures in time (FIT) is traditionally reported as failure Per billion hours Of Operation.

1 billion = (10^9)

FIT = 100/(10^9) = 10^-7

MTTF = 1/FIT = 1/(10^-7) = (10^7) hours

b) Availability of the system = MTTF/(MTTF + MTTR)

MTTR = mean time to repair = 24hours

Availability of the system = (10^7)/((10^7) + 24) = 0.9999 = 1

c) FIT = 1000 (processors) × 100 (FIT per processor) = (10^5) per billion hours of operations = (10^5)/(10^9) = 10^-4

MTTF = 1/FIT = 1/(10^-4) = (10^4) hours

QED!!

7 0
3 years ago
2. Tom makes $50 a day, 5 days a week. If his rent every four weeks was $500, what is
Hunter-Best [27]
His overall net profit would be $500 dollars because every two weeks he makes $500 so over 4 weeks he would make $1000, but lose $500 to rent.
3 0
3 years ago
Read 2 more answers
You order two tacos and a salad. the salad costs 2.50.you pay 8% sales tax and leave a $3 tip. you pay a total of 13.80 how much
riadik2000 [5.3K]
Given:Price of one taco = x; price of 2 tacos = 2xPrice of salad = $2.50Sales tax = 8% of the combined price of two tacos and a salad, namely .08(2x + 2.50)Tip = constant fee = $3.00Total bill = $13.80 Therefore the equation becomes
2x + 2.50 + .08(2x + 2.50) + 3 = 13.80 Solutions: 2x + 2.50 + .16x + .20 + 3 = 13.80 (using the distributive property to multiply 2x and 2.5 by .08).2.16x + 2.70 + 3 = 13.80 (combining like terms)2.16x + 5.70 = 13.80 (combining like terms)2.16x + 5.70 = 13.80 - 5.70 (subtraction property of equality)2.16x = 8.10x = 8.10/2.16 = 3.75 (division property of equality)
The cost of a single taco is $3.75
3 0
3 years ago
Plz help due in 30mins
denis23 [38]
Answer: y = x + 10

Explanation: substitute x by the numbers in the first column and add that by 10 which would be equal to the numbers in the second column (y) for example 1+10= 11
4 0
3 years ago
Read 2 more answers
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