Answer: factorise the equation 49x^2+70x+25
Step-by-step explanation:
49x^2+70x+25
(7x)^2+2*7x*5+(5)^2
(7x+5)(7x+5)
therefore the sides of the square are (7x+5)(7x+5)
The path is the hypotenuse of a right triangle with legs 30 and 120.
30² + 120² = c²
900 + 14400 = c²
15300 = c²
c=√15300 ≈123.7'
instead of walking 30+120=150 feet they save 26.3 feet by taking the shortcut
Answer:
Step-by-step explanation:
we know that
When we compare positive fractions with the same numerator, the largest rational number will be the fraction with the lowest denominator
In this problem we have
and 
Both numerator are equal
Compare the denominators
therefore
is the largest rational number
The minimum Sam need to get is a 70.
70 + 60 = 130
130/2 = 65
Answer:
(9 1/2) * (19 1/4) = 1463/8 = 182 7/8
Step-by-step explanation:
Conversion a mixed number 9 1/2
to a improper fraction: 9 1/2 = 9 1/2
= 9 · 2 + 1/2
= 18 + 1/2
= 19/2
To find a new numerator:
a) Multiply the whole number 9 by the denominator 2. Whole number 9 equally 9 * 2/2
= 18/2
b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19
c) Write a previous answer (new numerator 19) over the denominator 2.
Nine and one half is nineteen halves
Conversion a mixed number 19 1/4
to a improper fraction: 19 1/4 = 19 1/4
= 19 · 4 + 1/4
= 76 + 1/4
= 77/4
To find new numerator:
a) Multiply the whole number 19 by the denominator 4. Whole number 19 equally 19 * 4/4
= 76/4
b) Add the answer from previous step 76 to the numerator 1. New numerator is 76 + 1 = 77
c) Write a previous answer (new numerator 77) over the denominator 4.
Nineteen and one quarter is seventy-seven quarters
Multiple: 19/2
* 77/4
= 19 · 77/2.4
= 1463/8
