Answer: j = 8
Step-by-step explanation: To solve for <em>j</em> in this equation, we want to get <em>j</em> by itself on the left side of the equation. Since <em>j</em> is being multiplied by 5, to get <em>j</em> by itself, we need to divide by 5 on the left side of the equation. Since we divided by 5 on the left side, we must also divide by 5 on the right side.
On the left side, notice that the 5's cancel out so we are simply left with <em>j</em>. On the right side, we have 40 divided by 5 which gives us 8 so we have j = 8.
Finally, remember to check your answer by substituting an 8 back into the original equation. So we have 5 (8) = 40 which is a true statement so our answer checks. Remember to show all your work when solving equations.
Answer:
-3 1/8.
Step-by-step explanation:
−7/8 − 2 1/4
= -7/8 + -9/4
= -7/8 - 18/8
= -25/8
= -3 1/8.
Answer:
5x+3y=15
Step-by-step explanation:
We are given two coordinates (3,0) (0,5)
Start by finding slope
y2-y1/x2-x1= 5-0/0-3= -5/3 this is your slope m.
y=mx+c
y= -5/3x+c (but remember standard line is ax+by=c) so we have to switch sides
5/3x + y=5 (remember standard form has no fraction so multiply by 3 on all sides)
5x+3y=15
Answer:
314.16 m (if pi = 3.14) || 314π m (if (you may want to check the math yourself, just in case!)
Step-by-step explanation:
Step 1) Formula of a cone.
•volume = (1/3) * π * r² * h. [Or, if you prefer, volume = π * r² * h/3 ]
Step 2) Apply numbers.
•r = 1/2 * base diameter || r = 5 m
•height(h)= 12 m
Step 3) Apply formula.
V= (1/3) * π * 5² * 12
[Step 4 depends on how you learn, and this also dictates the answer, please read carefully.]
Step 4a) IF DEFINITE EXACT ANSWER (π = π), then V= 314.16
Step 4b) IF π = 3.14, then V= 314π
I was taught in a strange way where two different methods can be applied, so the answer depends on which one you've been taught!
(apologies if a mistake has been made)
Answer: b
Step-by-step explanation: