Answer: 2 2/3 or 2.6 repeating
Step-by-step explanation:
- Reduce the numbers With the greatest common divisor 2
- Calculate product
- Calculate the difference
- YOUR FINAL ANSWER
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Answer:

Step-by-step explanation:
The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be
of the circle's length (circumference).
The circumference of a circle is given by
, where
is the radius of the circle. Therefore, the circumference of the circle is
. As we found earlier, the length of the arc is
of this circumference. Therefore, the arc's length is
.
To the nearest integer, this is
.
Answer:
9 bottles of soda and 7 bottles of juice
Step-by-step explanation:
Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.
1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.
Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.
In total, there are 35x+10y g of sugar.
All bottles collectively contain 385 grams of sugar, thus

3. Solve the system of two equations:

Substitute the first equation into the second equation:

Answer:

Step-by-step explanation:

Answer:
22, 19, 16 and - 5
Step-by-step explanation:
To evaluate any term from the n th term formula substitute the terms position value for n
given
= 25 - 3n, then
(a)
= 25 - (3 × 1) = 25 - 3 = 22
= 25 - (3 × 2) = 25 - 6 = 19
= 25 - (3 × 3) = 25 - 9 = 16
(b)
= 25 - (3 × 10) = 25 - 30 = - 5