Answer:
Step-by-step explanation:
The given expression is
2 1/3-1 2/3
These are mixed fractions. It has whole numbers and proper fractions.
We would start by subtracting the proper fractions. Both proper fractions have the same denominators. It becomes
1/3 - 2/3
The issue here is that 1 s lesser than 2. Subtracting 2 from 1 would result in a negative number. So we would borrow from the whole number, 2
The whole number, 2 can be expressed as (1 + 1). 1 whole represents 3. So we add 3 to the 1 in the numerator. The fraction becomes 1 (3+1)/3 = 1 4/3
The expression becomes
1 4/3 - 2/3
Subtracting the fractions, it becomes
4/3 - 2/3 = 2/3
Subtracting the whole numbers, it becomes. 1 - 0 = 1
The result becomes
1 2/3
Answer:
Step-by-step explanation:
take 34 degree as reference angle
using tan rule
tan 34=opposite/adjacent
0.67=x/16
0.67*16=x
10.72=x
10.7=x (after converting it to the nearest tenth)
X + 2y = 5
x = 5 - 2y
2x + 4y = 3
2(5-2y) + 4y = 3
10 - 4y + 4y = 3
10 ≠ 3
5x + 2y = 3
5(5-2y) + 2y = 3
25 - 10y + 2y = 3
-8y = 3 - 25
-8y = -22
y = -22/-8
y = 2.75
6x + 12y = 30
6(5-2y) + 12y = 30
30 -12y + 12y = 30
30 = 30
3x + 4y = 8
3(5-2y) + 4y = 8
15 - 6y + 4y = 8
-2y = 8 - 15
-2y = -7
y = -7/-2
y = 3.5
An inconsistent system is a system of equation that has NO SOLUTIONS.
2x + 4y = 3 is the equation to be paired with x + 2y = 50 to create an inconsistent system.
The equations would be
<span>Value: b + c = 19000
Interest: 0.07b + 0.09c = 1590
</span>0.07b + 0.09 (19,000 - b) = 1,590
0.07b + 1,710 - .09b = 1,590
<span>120 = .02b
</span>
B = 6,000
<span>C = 13,000
</span><span>
So the correct answer is </span><span>d. $6000 in bonds; $13,000 in certificates of deposit.
</span>
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Answer:
m =3
Step-by-step explanation:
y = 3x+1
This is in the form
y = mx+b where m is the slope and b is the y intercept
The slope is 3 and the y intercept is 1