Answer: x = 10.3 ÷ 4
Step-by-step explanation: if we were to work this out forgetting about the equation it can be worked out by dividing the 10.3 by 4 to find the length of the pieces so, now to express it as an equation, we have to add x into our sum 4 × ? = 10.3 : 4x = 10.3. The answer for x would be x = 2.58.
Here is a story problem that can go with this:
There was of the cake left after the party. Matthew ate of the leftover cake. How much of the cake did Matthew have?
Answer:
x = 90
y = 60
Step-by-step explanation:
Let x = student
Let y = non-student
x + y = 150
4x + 8y = 840 <—— Use elimination/addition ethos for both equations
8 (x + y = 150)
-1 (4x + 8y = 840) <—— Let’s eliminate y
8x + 8y = 1200
+ -4x - 8y = -840
—————————————
4x = 360
x = 90
x + y = 150 <— substitute for x from above
90 + y = 150
- 90 = - 90 <— subtract from both sides
y = 60
Answer:
25 minutes
Step-by-step explanation:
Think about how many steps per minute Paul can walk. Knowing that he can walk 15 steps in 5 minutes, we can say that Paul can walk 3 steps/minute.
We're asked to figure out how many minutes it would take him if he walks at a constant speed if he takes 75 steps. So we can just divide 75 steps into 3 steps/minute and then we should get 25 minutes!
X^3 - 21x = -20
add 20 to both sides
x^3 - 21 x + 20 = 0
Rational Root Theorem:
Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20
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Factors of Q (leading Coefficient) = 1
Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1
Of the choices given only the number 1 is a possible root.