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Ksju [112]
3 years ago
15

If you travel at a rate of 45 miles per hour.How many minutes will it take to travel 1 mile

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0
<span>You can apply a rule of three.
If you travel a distance of 45 miles in one hour (equivalent to 60 minutes), then how many minutes (x) will it take 1 mile?

45 miles → 60 min
   1 mile → x

</span>x=\frac{1 mile*60 min}{45 miles} --> x=\frac{60}{45} min<span>

Simplifying the fraction, dividing the numerator and denominator by 15

x=(60/15)/(45/15) min→x=4/3 min =1.333333333 min
approximately 1.33 min

 Answer: It will take 4/3 min or 1.33 min to travel 1 mile</span>
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A can of soda is placed inside a cooler. As the soda cools, its temperature T (x) in degrees celsius is givien by the following
wel

Answer:

Initial 18 degrees Celsius

After 20 minutes, 5 degrees Celsius

Step-by-step explanation:

It’s initial temperature can be calculated as at the time when x = 0

When x = 0, the temperature is -6+24 = 18 degrees Celsius

This is because the exponent part equals 1 since anything raised in to the power of zero is one.

After twenty minutes,

T(x) = -6 +24e^-0.038(20)

T(x) = -6 + 11.224 = 5.224

And that is approximately 5 degrees Celsius to the nearest degree

8 0
3 years ago
A recipe for four dozen cookies requires 1 1/2 cups of flour. How much flour is needed for one dozen cookies ?
Arada [10]
1 1/2 cups = 3/2. 3/2 divided by 4 = 3/2 x 1/4 = 3/8 cup
4 0
3 years ago
The total amount of money earned by all three plumbers on Monday was $1,400. On Tuesday they earned a total of $1,660, and on We
Alekssandra [29.7K]
Set of equations that can be used to calculate rate for each plumber:
2A+8B+8C = 1,400 --- (1)
4A+7B+10C = 1,660 --- (2)
3A+9B+9C = 1,660 --- (3)
------------------------------------
2*(1) - (2)
------------------------------------
4A+16B+16C = 2,800
4A+7B+10C = 1,660 -
------------------------------------
       9B+6C = 1,140 --- (4)
------------------------------------
3(2) -4(3)
-----------------------------------
12A+21B+30C = 4,980
12A+36B+36C = 6,600 -
-----------------------------------
         -15B-6C = -1,620 --- (5)
------------------------------------
(4) + (5)
------------------------------------
9B+6C = 1140
-15B-6C = -1620 +
-------------------------------------
-6B = -480 => 6B = 480 => B = 480/6 = 80
-------------------------------------------------------
Using (4), 9(80)+6C = 1140
720+6C = 1140 => 6C = 1140-720 = 420 => C = 420/6 = 70
------------------------------------------------------------------------------
Using (1), 2A+8(80)+8(70) = 1400
2A+640+560 =1400 => 2A = 1400-640-560 = 200 => A = 200/2 = 100
----------------------------------------------------------------------------------------------
The rates are:
A = $100
B = $80
C = $70
--------------------------------
On Thursday, number of calls: A = 4 hrs, B = 6 hrs, C = 3 hrs
Money earned = 4*100+6*80+3*70 = $1,090
6 0
3 years ago
Read 2 more answers
When Ryan was born, he weighed 7 pounds.At 6 months, he weighed 11.2 pounds. Amanda weighed 6 pounds when she was born, and 12.9
konstantin123 [22]

Answer:

Amanda.

Step-by-step explanation:

Ryan was 7 pound and gained 4.2 pounds which is only around a 60% Increase. Amanda on the other hand gained 6.9 pounds which is around a 110% Increase.

6 0
3 years ago
Read 2 more answers
Math please help :)!!!
77julia77 [94]

Answer:

36, 8.5

Step-by-step explanation:

an exponent of two means that you are multiply a number by itself

so in this case you would multiply 6 by itself: 6 x 6

this gets you 36

and 8.5 doesn't change so its just 8.5

7 0
3 years ago
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