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Lyrx [107]
2 years ago
14

If the line that passes through the points below

Mathematics
1 answer:
Anit [1.1K]2 years ago
4 0

Answer:

the value of k is 27.

Step-by-step explanation:

find by using formula y2-y1/x2-x1

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Trains headed for destination A arrive at the train station at 15-minute intervals tarting at 7am, where as trains headed for de
grandymaker [24]

Answer: a.) 2/3 ; b.) 7/12

Step-by-step explanation:

Given the following details :

Destination A trains arrives at station at 15 minutes interval starting from 7am

Destination B trains arrives at station at 15 minutes interval starting from 7.05am

A.) if a passenger arrives at station uniformly between 7am and 8am and gets on first train. What proportion of time does the passenger leave from destination A?

To leave for destination A. The passenger has to arrive before train to A departs and after train to B leaves.

Train to B leaves, starting at at 7.05 a.m and at interval of 15 minutes

Train to A leaves at 7.00 am and at interval of 15 minutes.

Therefore,

(Train B departs - train A arrives) (between 7 to 8am)

(7.05 - 7.15) + (7.20 - 7.30) + (7.35 - 7.45) + (7.50 - 8.00) = 40 minutes

Total time = 7.00 - 8.00 = 60 minutes

(40 ÷ 60) = 2/3 or 0.667

B.) If passenger arrives uniformly between 7.10am - 8:10am

(7.10 - 7.15) + (7.20 - 7.30) + (7.35 - 7.45) + (7.50 - 8)

5 + 10 + 10 + 10 = 35

35/60 = 7/12 or 0.583

8 0
3 years ago
If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?
Zigmanuir [339]

Answer:

5050 = 225f + 125p

If p = 17 this month, then, f = 13

Step-by-step explanation:

Kiri owns a coworking space that has two primary types of memberships, full time and part-time. In order to pay her bills each month (rent on the building, electricity, internet, and so on) she needs to make $5050. Full-time memberships (f) cost $225 per month, and part-time memberships (p) cost $125 per month.

If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?

Total cost = $5050

cost of full-time memberships = $225

number of full time members = f

cost of part-time memberships = $125

number of part-time members = p

Total cost = cost of full-time memberships * number of full time members + cost of part-time memberships * number of part-time members

5050 = 225f + 125p

If p = 17 this month,

5050 = 225f + 125p

5050 = 225f + 125(17)

5050 = 225f + 2,125

5050 - 2,125 = 225f

2,925 = 225f

f = 2,925/225

f = 13

number of full time members = f = 13

If p = 17 this month, then, f = 13

5 0
3 years ago
a rental car cost $50 for one day plus an additional 0.25 per mile. what is the cost of renting a car for one day, and driving i
Natali5045456 [20]

Answer:

you answer is 68.75

Step-by-step explanation:

5 0
3 years ago
If the mDEF=128, determine its supplement and its complement, if it exists
Mrrafil [7]

Answer:

The supplement would be 62,

There is no complement

Step-by-step explanation:

A Supplementary angle equals 180 degrees

A complementary angle equals 90 degrees

Since mDEF= 128, which is greater than 90 degrees there is no complement to it.

To figure out the supplement of DEF you have to subtract 128 from 180.

180 - 128 = 62

3 0
3 years ago
Please show work, thanks ​
Brut [27]

Answer:

4) 1400 in^3

5) 304\Pi or 954.56yd^3

6) 315 ft^2

Step-by-step explanation:

4)

V = \frac{lwh}{3} = \frac{20*20*10.5}{3} = \frac{4200}{3} = 1400

5)

A = \Pi(\frac{D}{2})^2 = \Pi(\frac{8}{2})^2 = \Pi*4^2 = 16\Pi

V = A * h = 16\Pi * 19 = 304\Pi = 304 * 3.14 = 954.56

6)

h^2 = 8^2 + 8^2 => h^2 = 64 + 64 = 128 => h =\sqrt{128}

A_1 = 2(\frac{8*\sqrt{128}}{2}) = 8*\sqrt{128} = 32 = 90.5

A_2 = 2(14 * 8) = 2*112 = 224

A = A_1 + A_2 = 91 + 224 = 315

6 0
3 years ago
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