
Step-by-step explanation:
Where <em>c</em><em> </em>is the number of candy given to each friend and <em>b</em><em> </em>is the unknown number of candies in a box.
Answer:
x = 4
y = 9
Step-by-step explanation:
It is given that figure (NPQR) is a square. One property of a square is that all sides of a square are congruent. This property also applies to the given square, thus one can make the following statement;
PQ = NR
Substitute,
10y - 29 = 5y + 16
Inverse operations,
10y - 29 = 5y + 16
-5y -5y
5y - 29 = 16
+29 +29
5y = 45
/5 /5
y = 9
Another property of a square is that all of the interior angles of a square have a measure of (90) degrees. Moreover, the diagonals (segment connect non-adjacent vertices) bisect these angles. Thus, twice the measure of an angle formed between a side and a diagonal forms a (90) degree angle. Therefore, one can draw the following conclusion;
2(m<QPR) = 90
Substitute,
2(6x + 21) = 90
Simplify,
12x + 42 = 90
Inverse operations,
12x + 42 = 90
-42 -42
12x = 48
/12 /12
x = 4
Answer:
Step-by-step explanation:
First find the number of liters needed to go 12500 km
Fuel = 12500 km * (8.85 L / 100 km)
Fuel = 1106.25 Liters
Now that we know the number of liters we need, we can find the cost.
1106.25 L * 158 c / L
174787.5 cents.
I fear going any further because I don't know where you reside. If you live in a place where they have dollars, then you can divide by 100 to get the dollar amount
1747875 / 100 = 1747,88 dollars
Answer:
2x² + 2x + 3
Step-by-step explanation:
x = 3 is a zero of both the numerator and the denominator, so the denominator will factor completely into the numerator with no remainder. Using grouping to factor:
(2x³ − 4x² − 3x − 9) / (x − 3)
(2x³ − 4x² − 6x + 3x − 9) / (x − 3)
(2x (x² − 2x − 3) + 3x − 9) / (x − 3)
(2x (x − 3) (x + 1) + 3 (x − 3)) / (x − 3)
2x (x + 1) + 3
2x² + 2x + 3
To use long division instead, see image.