Answer:
The smaller number is 4
Step-by-step explanation:
Larger number = x
Smaller number = y
Write 2 equations
y + 6 = x
2x = 5y
Substitute x in the first equation to the second equation
2(y + 6) = 5y
Multiply 2(y + 6)
2y + 12 = 5y
Subtract 2y from both sides of the equation
12 = 3y
Divide both sides of the equation by 3
y = 4
x = y + 6 = 4 + 6 = 10
The smaller number is 4
Hope this helps :)
Answer: -6.6 and -161.5
Step-by-step explanation: 44.22/-6.7=-6.7 -6.46/.04=-161.5 <——- not to sure about that one
Step-by-step explanation:
a)
b)
Answer:
(7√6)/2
Step-by-step explanation:
The side ratios in these special triangles are ...
30°-60°-90° triangle: 1 : √3 : 2
45°-45°-90° triangle: 1 : 1 : √2
This tells you the length of the horizontal line is 7√3, and the value of x is ...
(7√3)/√2 = (7√6)/2
_____
<em>Additional comment</em>
Call the length of the horizontal line "y". Then the given ratios tell you ...
7 : y = 1 : √3 ⇒ y/7 = √3/1 ⇒ y = 7√3
and
x : y = 1 : √2 ⇒ x/y = 1/√2 ⇒ x = y/√2
When we rationalize the denominator, we get ...
x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2
Answer:
1.75 liters for each car.
Step-by-step explanation:
Divide:
*7 / 4 = 1.75.
Check:
*1.75 x 4 = 7.
