Answer:
First, let's convert the mixed numbers into improper fractions:
3 3/10 = (3 * 10 + 3)/10 = 33/10
1 4/7 = (1 * 7 + 4)/7 = 11/7
Now, we can divide the two fractions:
33/10 ÷ 11/7
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 11/7 is 7/11.
So, the division becomes:
33/10 * 7/11
Next, multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
(33 * 7) / (10 * 11) = 231/110
Finally, simplify the fraction, if possible. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 11:
231/110 = (231 ÷ 11)/(110 ÷ 11) = 21/10
Therefore, 3 3/10 divided by 1 4/7 is equal to 21/10.
The city A and city B are 132.5 miles apart.
Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
The cat is a high speed catamaran auto ferry that operates between city A and city B the cat can make the trip in about 2 and 1/2 hours at a speed of 53 mph.
That means,
the distance between the cities are,
= 53 x 2.5
= 132.5 miles.
Therefore, the distance is 132.5 miles.
To learn more about the multiplication;
#SPJ2
b) x (2x^2 + 4x + 1)
c) 2x (x^2 + 2x - 1)
d) x (2x^2 + 4x -1)
PLEASE HELP!!
Answer:
Step-by-step explanation:
(x+ y + z)² = x² +y² + z² + 2xy +2yz + 2zx
Here, x = 2x ; y = -3y & z = 3
(2x - 3y + 3)² = (2x)² + (-3y)² + 3² + 2(2x)(-3y) + 2(-3y)3 + 2*3*(2x)
= 4x² + 9y² + 9 - 12xy - 18y + 12x
Answer:
4x² + 9y² + 12x - 18y - 12xy + 9
Step-by-step explanation:
Given
(2x - 3y + 3)² = (2x - 3y + 3)(2x - 3y + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x - 3y + 3) - 3y(2x - 3y + 3) + 3(2x - 3y + 3)
Distribute the 3 parenthesis
= 4x² - 6xy + 6x - 6xy + 9y² - 9y + 6x - 9y + 9 ← collect like terms
= 4x² + 9y² + 12x - 18y - 12xy + 9