List six rational numbers between

Mario works at a snack bar near the beach for 2 hours each Saturday. one Saturday, he started with 30 bottles of juice and sold

PSYCHO15rus [73]

Answer:

12 bottles were sold in the second hour.

Step-by-step explanation:

This problem can be solved by implementing an equation in one variable.

The equation will utilize the given values including total bottles of juice, the amount of juice sold in the first hour and amount of juice remaining at the end.

The equation will also consist of the value to be found out, the amount of juice sold in the second hour.

The value to be found out is substituted by a variable.

The equation is then solved by transfer of values and/or variable on the opposite side of the equal sign.

When a value/ variable is transferred on the opposite side of the equal sign, the sign of the value/ variable becomes the opposite.

The negative sign becomes positive and multiplication becomes division, and vice-versa.

1. In the first hour, \frac{3}{15} of all the juice was sold.

\frac{3}{15} of 30 is calculated as

\frac{3}{15} x 30 = 6

6 bottles are sold in the first hour.

2. At the beginning of the second hour, the amount of juice remaining is assumed to be a.

3. As per the question, at the end of second hour, the remaining juice is \frac{6}{15}.

\frac{6}{15} of 30 is calculated as

\frac{6}{15} x 30 = 12

12 bottles are remaining at the end of the second hour.

4. Alternatively, at the end of second hour, 30 - 6 - a of the juice is remaining.

We get, 24 - a bottles are remaining at the end of the second hour.

We equate the above expression with 12, we get the following equation.

24 - a = 12

Next, we transfer a from left side to the right side of the equation.

24 = 12 + a

Next, we transfer 12 from right side to the left side of the equation.

24 - 12 = a

=> 12 = a

OR

a = 12

Hence, 12 bottles were sold in the second hour.

5 0

3 years ago

Sami leave his house at 3:45 PM and walks to karlas house in 15 minutes he stays at karlas house for five minutes and then walks

chubhunter [2.5K]

Sami arrives at the library at 4:15. Why? Well is says she took 15 minutes to walk to karlas house so when she arrives it’s 4:00 PM. Than, she stays at karlas house for 5 minutes which puts her at 4:05 PM. After that is Sami took 10 minutes to get to the library so that puts Sami at 4:15 PM. Hope this helps!

6 0

3 years ago

What is "house flipping?" a. The process of transferring ownership of a house from one person to another. b. The process of buyi

nalin [4]

Answer:

The answer is B, i believe

Step-by-step explanation:

House flipping is usually when you buy s house and renovate it to make it look nicer and then selling it for more to make a profit from that.

5 0

3 years ago

The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). Find the distance between the two shi

Anna35 [415]

We know that

The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to

$123-63=60$ °

Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.

Hence
the answer is
the distance between the two ships is 8 miles apart

alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles

5 0

3 years ago

Read 2 more answers

What is the greatest common factor of 128 and 96

aalyn [17]

The greatest common factor is 32

6 0

3 years ago

Read 2 more answers

List six rational numbers between - 2and 2​

List six rational numbers between - 2and 2