Answer:
The money Keira spent on food is $31.
Step-by-step explanation:
Total money spent by Keira = $45
Things Keira spent money on:
1. Clothing
2. Food
3. Other items
Money spent on Clothing = 1/5 of total money
= 1/5 x $45
Money spent on Clothing = $9
Money spent on Other Items = 1/9 of total money
= 1/9 x $45
Money spent on Other Items = $5
Money spent of on Food = Money spent - (Money spent on clothing + other items)
Money spent on food = 45 - (9+5)
= 45 - 14
Money spent on food = $31
Without any calculations it's evident it can't be neither B (both numbers are even, so they're divisible by 2) nor C (the numbers end in 0 and 5, so they're divisible by 5).
A.

Both numbers have a factor of 3, so they're not relatively prime.
That means it must be D. But, let's check it.

Indeed, those two numbers are relatively prime.
Let's solve for x.
−x+9y=−5
Step 1: Add -9y to both sides.
−x+9y+−9y=−5+−9y
−x=−9y−5
Step 2: Divide both sides by -1.
−x ÷ −1 = −9y−5 ÷ −1
x=9y+5
THE ANSWER FOR THE OTHER EQUATION: (x-5y=1)
Let's solve for x.
x−5y=1
Step 1: Add 5y to both sides.
x−5y+5y=1+5y
x=5y+1
Answer:
x=5y+1
I hope this helped I was a little confused on what your problem meant...so if this is not what you asked for just lmk so I can fix it for you :)
Answer:

Step-by-step explanation:

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

Substitute in the values of a, b, and c.





<h3>Hope it is helpful...</h3>
Answer:
1/3 < 2/5 < 3/7 < 5/8 < 3/4
Step-by-step explanation:
Using the given inputs:
3/4 5/8 3/7 1/3 2/5
The least common denominator (LCD) is: 840.
Rewriting as equivalent fractions with the LCD:
3/4= 630/840
5/8= 525/840
3/7= 360/840
1/3= 280/840
2/5= 336/840
Sorting this by the numerators of the equivalent fractions in order from least to greatest:
1/3= 280/840= < 2/5= 336/840= < 3/7= 360/840= < 5/8= 525/840= < 3/4
= 630/840
Therefore, the sorted inputs in order from least to greatest is:
1/3 < 2/5 < 3/7 < 5/8 < 3/4
Hopes this helps!
Have a good evening! :)