The problem to number 1 is a inequality, so
x-2<-7
x<-5
since it is < it will have open dot.
Answer: C
2. x/3>-3
x>-9
Answer: D
3. 5p+26<72
5p<46
p<9.2
Answer: C
4. -3w+3>=18
-3w>=15
x<=-5
5. 15x-21>= 12x+18
x>=13
Answer A
6: |3x|=15
Absolute values positive so {-5,5}
Answer: B
7: |2x-3|=5
x=4,-1
Answer: C
It’s -2 for the first box and then 3
Answer:
Interest = $93.205
Explanation:
Interest can be calculated as follows:
I = Prt
where:
I is the interest we want to canlculate
P is the principle amount = $1400
r is the interest rate in decimal = 9% = 0.09
t is the time in years = 270/365
Substitute with the givens in the above equation to get the value of the interest as follows:
I = 1400 * 0.09 * (270/365)
I = $93.205
Hope this helps :)
To add these amounts together, we must first find their least common multiple in order to get common denominators (b/c when you add fractions, the denominators must be the same).
We'll start by listing some of their multiples.
To do this, count by whatever the denominator is:
4 1/2 (denominator is 2): 2 4 6 8 10 12 14
2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15
Look and see which is the first multiple that all three denominators have. Circle them if it helps you. In this case, it's 12.
So now we have to multiply the denominators by whatever number it takes to reach 12, and multiply by the same number to the numerator:
4 1/2 (times 6 to both top and bottom) =
4 6/12
2 1/4 (times 3) = 2 3/12
6 1/3 (times 4) = 6 4/12
Add all these fractions together, and you get 12 13/12, which is equal to 13 1/12.
Thus, Peter makes a total of 13 1/2 cups.
Hope this made sense! tell me if anything is confusing/incorrect :))
