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Karo-lina-s [1.5K]
3 years ago
11

A satellite travels 29 1/2 miles every 4 1/3seconds. What is its unit rate of speed?​

Mathematics
1 answer:
pogonyaev3 years ago
5 0

Answer:

The speed at which the satellite travel is 6.80 miles per second

Step-by-step explanation:

Given as :

The distance cover by satellites = 29 \frac{1}{2}  miles

Or, The distance cover by satellites  = \frac{59}{2} miles

The Time taken by satellite to travel with this speed = 4\frac{1}{3} sec

Or, The Time taken by satellite to travel with this speed = \frac{13}{3} seconds

Let the Speed with which the satellite travel = s miles per second

Now, As we know

Speed = \dfrac{\textrm Distance}{\textrm Time}

Or, s = \frac{\frac{52}{2}}{\frac{13}{3}}

or, s = \frac{59\times 3}{2\times 13}

∴ s = 6.80 mps

So, speed = s = 6.80 miles per second

Hence The speed at which the satellite travel is 6.80 miles per second Anwser

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Given $dc = 7$, $cb = 8$, $ab = \frac{1}{4}ad$, and $ed = \frac{4}{5}ad$, find $fc$. Express your answer as a decimal.
Pachacha [2.7K]

A ↔ B ↔ C ↔ D ↔ E ↔ F

 \frac{1}{4} AD      8      7      \frac{4}{5} AD   ???

AB + BC + CD = AD   <em>segment addition postulate</em>

\frac{1}{4} AD   +   8   +   7   = AD

\frac{1}{4} AD   +       15        = AD

AD         + 60    = 4AD

                  60    = 3AD

                  20    = AD

AB =  \frac{1}{4} AD    =  \frac{1}{4}(20)    = 5

DE =  \frac{4}{5}AD   =  \frac{4}{5}(5)    = 4

CD + DE + EF = CF   <em>segment addition postulate</em>

7   +   4   + EF  = CF

     11        + EF  = CF

Answer: 11 + EF

Note: You did not provide any info about EF.  If you have additional information that you did not type in, calculate EF and add it to 11 to find the length of CF.

7 0
3 years ago
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There are 250 bricks used to build a wall 20 feet high.How many bricks will be used to buld a wall that is 30 fet high
Dmitry_Shevchenko [17]

Answer: 375

Step-by-step explanation:

Since we are given the information that there are 250 bricks used to build a wall 20 feet high, the number of brick used per feet will be:

= 250/20

= 12.5 bricks per feet.

Therefore, the number of bricks that will be used to buld a wall that is 30 fet high will be:

= 12.5 × 30

= 375 bricks.

Therefore, 375 bricks would be used.

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4 teaspoons per 1/3 teaspoons
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Answer:

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Step-by-step explanation:

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Betty can drive her car 400 miles at a steady speed using 20 gallons of gasoline. at this rate how many gallons of gas will she
ch4aika [34]

Answer:

80 gal

Step-by-step explanation:

20 gal takes her 400 mi

Vol. of gas = 1600 ×20/400

Vol. of gas = 1600 ×1/20

Vol. of gas = 80 gal

Betty will use 80 gal of gas.

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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

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