4 years ago

One more than the product of a number, x, and 7 is 5 less than that number, x. Rewrite this as an equation then solve for x.

Mathematics

1 answer:

Studentka2010 [4]4 years ago

8 0

Answer:

(7x+1)=x-5

Step-by-step explanation:

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Six less than the product of 8 and a number equals 5

olga55 [171]

$\huge\boxed{8x-6=5}$

$\huge\boxed{x=\frac{11}{8}}$

Let's start with "the product of $8$ and a number". I will use $x$ to represent the number. $8x$

"Six less than" $-6$

"equals $5$ " $=5$

Now put it all together. $\boxed{8x-6=5}$

Now I will solve for $x$ . Add $6$ on both sides of the equation. $8x=11$

Now, divide both sides of the equation by $8$ . $\boxed{x=\frac{11}{8}}$

6 0

3 years ago

A blue billiard ball with mass m crashes into a red billiard ball with the same mass that is at rest. The collision results in t

sammy [17]

Draw a diagram to illustrate the problem as shown below.
Each ball has mass = m.
The initial velocity of the blue ball = u.
The initial velocity of the red ball = 0.

Initial total momentum is
P1 = m*u + m*0 = mu
Final momentum is
P2 = mv + 3mv = 4mv

Because momentum is conserved,
mu = 4mv
u = 4v

Answer:
The velocity of the blue ball before the collision is 4v.