Answer:
Step-by-step explanation:
1. (a) 24 X 3/4= 18 multiplication
you have to multiply to get a smaller answer since you are using a fraction.
2. (a) 24 / (-3/4)= -32 division
you have to divide to get a bigger number than started since you are using a fraction
3. (A) 12-15= -3 subtraction
when you subtract a bigger number than the first number you end up normally with a negative number
4. (a) 12 -(-15) subtraction
when you subtract with a negative number you distribute so the two negatives cancel out and it become an addition sign. (if you look at it the two negatives and the parenthesis looks like an addition sign (+)
5. (A) -18 / (-3/4) =24 division
when you divide two negative values you will always get a positive answer. And again dividing a fraction will get you a bigger answer.
Answer:
Nikolaus Otto was responsible for inventing the first working four-stroke engine.
Step-by-step explanation:
Answer:
F:53cm by 102cm
Step-by-step explanation:
The perimeter of a rectangle can be seen as 2l + 2w, with the length being l, and the width being d. If the ratio is 3:2, then 3+2= 5 parts would be the sum of the length and the width, This is half of the perimeter 2(l+w), so 510÷2 = 255. One part would be 255÷5=51.
If you put it into the ratio, effectively it is:
Length:Width
3×51:2×51
153 :102
Therefore the dimensions are 153cm by 102cm, which is F.
Answer:
x = -15
Step-by-step explanation:
Step 1: Write equation
3(2x - 5) - 3(x - 7) = 2x - 9
Step 2: Distribute
6x - 15 - 3x + 21 = 2x - 9
Step 3: Combine like terms
3x + 6 = 2x - 9
Step 4: Subtract 2x on both sides
x + 6 = -9
Step 5: Subtract 6 on both sides
x = -15