Answer:
She started with $6.00.
Step-by-step explanation:
1. This problem is meant to have you work backwards from the information given. Firstly, it is important to write all the expenses and earnings she had to her weekly earnings.
Starting Amount = ?
- $0.45 (candy bar)
- $2.50 (pen)
+ $.200 (mom)
End Total = $5.05
2. With this information, this next step will be much easier. With this process, you can now use inverse operations to undo the last few equations.
Firstly, $2.00 given by her mom will be subtracted from $5.05.
Secondly, with our new total of $3.05, $2.50 from purchasing the pen will be added to this amount. This leaves you with $5.55.
Lastly, the $0.45 cents she spent with the candy bar will be added to the $5.55.
This leaves the starting amount to $6.00.
3. She started with $6.00
Answer:
(x, y) = (1, 4)
Step-by-step explanation:
Given: x+y=5 and 2x-y=-2
Solve for y and x
x+y=5; solve for y
y = 5 - x; substitute into other equation
2x-y= -2
2x - (5 - x) = -2
2x - 5 + x = -2; combine x's
3x - 5 = -2; add 5 to both sides
3x =3; divide by 3
x = 1; use this to solve for y
x+y=5
1 + y = 5; subtract 1 from both sides
y = 4
(x, y) = (1, 4)
Answer:
Step-by-step explanation:
x/13=10
We have to get rid of the 13. (the denominator)
How?
By multiplying 2 sides by 13
Remember the Rules of Maths:
1. Whatever you do to one side, you must do to the other.
2. Use the opposite operation.
So, we used Rule 2 to get rid of the 13.
Now:
x=10*13
(On the left side, the 13s cancel)
x=130
It is always a great idea to double-check
Does 130 divided by 13 equal 10?
Of course it does!
Have a great day!!
I hope everything is clear!
Answer:
y = 4
Step-by-step explanation:
4y 1x
3x 1y
1x=6
18
6+16 =22
18+4= 22
Answer:
TP: 13
Step-by-step explanation:
A=((b1+b2)/2)*h
100=((8+32)/2)*h
100=(40/2)*h
100=20h
h=5
A=8*5+((32-8)/2)*0.5*5*2
100=40+(24/2)*5
60=12*5
thus, point E is is 12 away from T
Triangle TPE:
the catets are TE:12 and PE:5
Lets use the Pythagorean theorem:
a^2+b^2=c^2
12^2+5^2=c^2
144+25=c^2
169=c^2
c=(+/-)13
since distance can only be positive, the answer is:
segment TP has the length of 13 units
