Let 
be the two numbers. We have two pieces of information:
(the difference between the two numbers is 2)
(their product is 224)
From the first equation, we can deduce 
If we plug this expression in the second equation, we have
If you solve this equation with the usual quadratic formula you get the solutions
So, you have the following couple of solutions, recalling that x is 2 more than y:
Answer:
.
Step-by-step explanation:
Given:
In Right Angle Triangle GIH
∠ I = 90°
GI = 7 ....Side opposite to angle H
GH = 10 .... Hypotenuse
To Find:
m∠H = ?
Solution:
In Right Angle Triangle ABC ,Sine Identity,
Substituting the values we get;
Now taking 
we get;
rounding to nearest tenth we get.
.
Hence .
Answer: the box contained 9 square chocolates and 15 round chocolates.
Step-by-step explanation:
Let x represent the number of square chocolates contained in the box.
Let y represent the number of round chocolates contained in the box.
The box of chocolates contains square chocolates, which weigh 10g each and round chocolates which weigh 8g each. The combined weight of all the chocolates is 210g. It means that
10x + 8y = 210- - - - - - - - - - -1
The number of round chocolates is 3 less than twice the number of square chocolates. It means that
y = 2x - 3
Substituting y = 2x - 3 into equation 1, it becomes
10x + 8(2x - 3) = 210
10x + 16x - 24 = 210
26x = 210 + 24
26x = 234
x = 234/26
x = 9
y = 2x - 3 = 2 × 9 - 3
y = 18 - 3
y = 15
Answer:
3
Step-by-step explanation:
Given
15 gold ribbons
22 blue ribbons
53 red ribbons
Total of 53 + 22 + 15 = 90 ribbons
Total number of students = 12 boys + 18 girls = 30 students.
If evenly divided, each student will have 90/30 = 3 ribbons
The expression to solve would basically be the amalgamation of what we did above:
(53 + 22 + 15)/(12+18)
Answer:
Ray WV and Ray WX.
Step-by-step explanation:
A ray is a line that has a fixed starting point, but no end points. It extends infinitely. You usually list points based on the way it is facing.
Hope this helps!
