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vazorg [7]
3 years ago
5

Jennifer brought $24.75 to the base ball game. She spent $12.45 on drinks and snacks. How much money does she have left over

Mathematics
1 answer:
vivado [14]3 years ago
4 0
Think of it this way. You have 5 apples. You eat 2. How many do you have left? Three. How? Well, you took away two from five, or you subtracted them (5-2) and got 3. We will do the same here.

If it’s the decimal places that confuse you, fear not. You subtract them just the same as you would normal numbers. I added a picture and labelled which numbers you subtract from which to make it easier if that’s the problem. Hope this helped.

The answer is $12.30 :)

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Mark did 2/5 of a job and Alan did 1/3 of the remainder. The fraction of the job left undone
Evgesh-ka [11]
2/5=4/10=12/30 1/3=10/30 12/30+10/30=22/30 22/30=11/15
4 0
3 years ago
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
For options A– E choose all of the expressions that are equivalent to 3(4x + 3).
Katen [24]
3(4x+3) = 12x + 9
A= 3(4x+1)
B= 9 + 12x
C= 7x + 6
D= 12x + 9
E= 12x + 9

Answer: D, E

Hope This Helps✨
3 0
3 years ago
Convert: 25 pints (liquid) to liters. <br> 1.183 <br> 11.83 <br> 118.3 <br> 1,183
Ulleksa [173]
This would be 11.83 I hope you pass your test/quiz :)
4 0
3 years ago
What is 20+1?I really need help.LOL
Sveta_85 [38]
The answer to 20+1

=21
6 0
3 years ago
Read 2 more answers
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