Answer:
Hey there!
She wants an 93, so we write the equation: 
Multiply both sides by 6 to get: 
Simplify: 463+x=558
Subtract 463 to get that x=95.
Thus, she must score a 95 to get a A as a final grade.
Hope this helps :)
Answer:
- mass: 35.2 kg
- momentum: 218 kg·m/s
- velocity: ≈ 6.19 m/s
Step-by-step explanation:
The mass and momentum are given in the problem statement. You are expected to know that ...
... momentum = mass × velocity
To find the velocity, you can fill in the given numbers in this relation, then solve.
... 218 kg·m/s = 35.2 kg · velocity
... (218 kg·m/s)/(35.2 kg) = velocity ≈ 6.193182 m/s . . . . . (divide by mass)
Rounded to appropriate precision, ...
... velocity = 6.19 m/s
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<em>Comment on word problems</em>
A word problem generally gives you the values of certain quantities, and may give you the relationship between them. It will ask you to make use of the given relationship(s), or one(s) you are expected to know, in order to find the values asked for. Laws of physics (as here), universal constants, geometric relationships, financial relationships, algebraic relationships, and other relationships may be involved. That is why you study these things, learn math and English vocabulary, and pay attention in the real world. (By the time you get to college, you are also expected to be familiar with number facts and the operation of your calculator.)
Note the equal sign, what you do to one side, you do to the other side. Isolate the variable z.
First, subtract 3z and add 6/4 to both sides
4z (-3z) - 6/4 (+6/4) = 3z (-3z) + 1 (+6/4)
4z - 3z = 1 + 6/4
Simplify. Note that 1 = 4/4.
z = 4/4 + 6/4
Simplify. Combine like terms
z = 10/4
Simplify. Change the improper fraction into mixed fraction and simplify.
z = 10/4 = 2 2/4 = 2 1/2
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The answer is $2.25 for the hamburger and $1.25 for the hot dog. I think my answer is right. hope it helps!!
