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zheka24 [161]
3 years ago
10

Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many

laps must Kellyn jog to meet her goal?
Mathematics
2 answers:
Solnce55 [7]3 years ago
7 0
A lap is 6/5 miles
minimum 15 / 2 miles
(15/2)/(6/5) = 25/4 = 6 and 1/4 laps minimum which has to be rounded up to 7 laps
Nitella [24]3 years ago
6 0
1 1/5 can be written as 6/5
7 1/2 can be written as 15/2
Let X be the number of laps Kellyn wants to jog to meet her 7 1/2 mile goal:
6/5x = 15/2                Multiply both sides by (5/6), the inverse of 6/5
x = 15(5) / 2 ( 6) 
x = 75 / 12
X = 25 / 4, or 6 and 1/4 laps

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Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one
Elan Coil [88]

Answer:

2^24 = 16,777,216 bacterias.

Step-by-step explanation:

So we start with 1 bacteria

after 1 hours: 2*1 = 2

after 2 hours: 2*2 = 2^2 = 4

after 3 hours: 2*2^2 = 2^3  

after n hours: 2^n  

Since one day has 24 hours we have n = 24 and total number of bacteria will

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5 0
3 years ago
please solve all of them Elaine bought a total of 15 shirts and pairs of pants She bought 7 more shirts then pants how many of e
mihalych1998 [28]

Answer

Question 1

4 pants

11 shirts

Question 2

Shady has 30 video games.

Preston has 19 video games.

Question 3

1 muffin costs $1.5

1 quart of milk costs $3

Explanation

Question 1

Let the number of shirts be s

Let the number of pants be p

She bought a total of 15 shirts and shirts

s + p = 15

She bought 7 more shirts than pants.

s = 7 + p

So, we can solve the simultaneous equation.

s + p = 15

s = 7 + p

Substitute for s in equation 1

s + p = 15

7 + p + p = 15

7 + 2p = 15

2p = 15 - 7

2p = 8

Divide both sides by 2

(2p/2) = (8/2)

p = 4 pants

s = 7 + p = 7 + 4 = 11 shirts

Question 2

Let the number of games Shady has be s

Let the number of games Preston has be p

Together, they have a total of 49 video games

s + p = 49

Shady has 11 more games than Preston.

s = 11 + p

So, we can solve the simultaneous equation.

s + p = 49

s = 11 + p

Substitute for s in equation 1

s + p = 49

11 + p + p = 49

11 + 2p = 49

2p = 49 - 11

2p = 38

Divide both sides by 2

(2p/2) = (38/2)

p = 19 video games

s = 11 + p = 11 + 19 = 30 video games

Question 3

Let the cost of a muffin be m

Let the cost of a quart of milk be q

The cost of 8 muffins and 2 quarts of milk is $18.

8m + 2q = 18

The cost of 3 muffins and 1 quart of milk is $7.50

3m + q = 7.5

So, we can solve the simultaneous equation

8m + 2q = 18

3m + q = 7.5

Solving this,

m = 1.5 dollars

q = 3 dollars

Hope this Helps!!!

3 0
1 year ago
What is the rule input numbers are 17 18 _ 28_40
Lelu [443]
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4 0
3 years ago
The average discharge at the mouth of the Amazon River is 4,900,000 cubic feet per second. How much water is discharged from the
Misha Larkins [42]

Answer:  Average discharge at the mouth of the Amazon River in 1 hour = 1.764\times 10^{10} cubic feet

Average discharge at the mouth of the Amazon River in 1 year= 3.66912\times10^{13} cubic feet[/tex]

Step-by-step explanation:

Given : The average discharge at the mouth of the Amazon River =4,900,000 cubic feet per second.

i.e. The average discharge at the mouth of the Amazon River  in 1 second= 4,900,000 cubic feet

Since 1 hour = 3600 seconds

Then , the average discharge at the mouth of the Amazon River  in 1 hour =

4900000\times3600=17640000000 cubic feet

Since , there are 2080 hours in a typical year.

Then, the average discharge at the mouth of the Amazon River in 1 year=

2080\times17640000000\\\\=36,691,200,000,000=3.66912\times10^{13} cubic feet

6 0
2 years ago
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SashulF [63]
Parallel lines need the same slope, and for y = 1/2x + 4, it is 1/2.

Let's solve for b.

2 = 1/2(-6) + b
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8 0
3 years ago
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