Answer:
Tom has 70 cards, and Harry has 28 cards.
Step-by-step explanation:
Let h = number of cards Harry has.
Then the number of cards Tom has is 2 1/2 * h = 2.5h.
Together they have 2.5h + h = 3.5h number of cards.
Together they have 98 cards.
3.5h = 98
h = 98/3.5
h = 28
Harry has 28 cards.
Tom has 2.5h = 2.5 * 28 = 70
Answer: Tom has 70 cards, and Harry has 28 cards.
Answer:
Part A) x = -3
Part B) x = 1, x = -7
Part C) x < -7
Part D) 2
Step-by-step explanation:
<h3>Part A)</h3>
2(x - 3) = 3x - 3
<em>open the parenthesis</em>
2 * x - 2 * 3 = 3x - 3
2x - 6 = 3x - 3
<em>subtract 2x from both sides</em>
2x - 2x - 6 = 3x - 2x - 3
-6 = x - 3
<em>add 3 to both sides</em>
-6 + 3 = x
-3 = x
<h3>
Part B)</h3>
|2x + 6| = 8
<em>split this into two equations:</em>
<em>2x + 6 = 8</em>
<em>&</em>
<em>2x + 6 = -8</em>
2x + 6 = 8
2x = 8-6
2x = 2
x = 1
2x + 6 = -8
2x = -8 - 6
2x = -14
x = -7
<h3>Part C)</h3>
-5(x + 1) > 30
<em>open the parenthesis</em>
-5x - 5 > 30
<em>add 5 to both sides</em>
-5x > 35
<em>divide both sides by -5</em>
x > -7
<em>since you divided by a negative, flip the sign.</em>
x < -7
<h3>
Part D)</h3>
f(x) = 4x - 3
<em>substitute x for 5</em>
5 = 4x - 3
5 + 3 = 4x
8 = 4x
2 = x
Answer:
36%
Step-by-step explanation:
Put it into a fraction:
216/600
Next divide:
216/600= 0.36
Turn the decimal into a percentage:
0.36 = 36%
216 as a percentage of 600 is equal to 36%.
Answer:
77.12 feets
Step-by-step explanation:
In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?
Step one:
given data
Length of the room= 33 feets
width of the room = 69.7 feets
Required
The diagonal of the room
Step two:
from Pythagoras theorem
z^2= x^2+y^2
substitute
z^2= 33^2+ 69.7^2
z^2=1089+4858.09
z^2=5947.09
z=√5947.09
z=77.12 feets
2 nuumbers multiply to 8 an addd to 6
factor 8 and add teh factor pairs
1,8
2,4
8+1=9
2+4=6
numbers are 2 and 4
if you were to solve it the
xy=8
x+y=6
y=6-x
x(6-x)=8
6x-x^2=0
0=x^2-6x+8
facotr
0=(x-2)(x-4)
set each to zero
x-2=0
x=2
x-4=0
x=4
x=2 or 4 and since they are interchangable, the numbes are 2 and 4