Answer:
<h2><u><em>
6. </em></u></h2><h2><u><em>
a. 11 and 2/3 yds. squared</em></u></h2><h2 /><h2><u><em>
b. Yes, the volume of the shed is 11 and 1/3 yards squared and what she's trying to put into it is only 10 yards squared, if put in properly, it will be able to fit.</em></u></h2><h2 /><h2><u><em>
7. 1,110 in. squared</em></u></h2>
Step-by-step explanation:
6.
a.
(10/3)*(14/9)*(9/4)
= 11 2/3
b.
Yes, because the volume of the shed is about 11.67 yards long, the 10 yards of wood will fit in the shed.
7.
For this one, we have to break it into two pieces.
(I made them into a small box and and big box)
The measurements of the small box are 7*5*6.
The measurements of the big box are 20*5*9.
Using this information, we can make the following equation and solve it quickly.
(7*5*6) + (20*5*9)
(210) + (900)
1,110
Thus, the volume of this box is 1,110 in. ^2
Answer:
y = 5/6x - 5.167
Or
y = 5/6x - 31/6
Step-by-step explanation:
The equation of a line
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given points
( 0 , -7) ( 5 , -1)
x1 = 0
y1 = -7
x2 = 5
y2 = -1
Insert the values into the equation
m = -1 - (-7) / 5 - 0
m = -1 + 7 / 5
m = 6/5
y = 6/5x + c
Step 2: sub any of the two points given into the equation
y = 5/6x + c
( 5 , -1)
x = 5
y = -1
-1 = 5/6(5) + c
-1 = 5*5/6 + c
-1 = 25/6 + c.
c = -1 - 25/6
LCM = 6
c = -6 - 25 / 6
c = -31/6
c = -5.167
Step 3: sub c into the equation
y = 5/6x + c
y = 5/6x - 31/6
Or
y = 5/6x - 5.167
The equation of the line is
y = 5/6x - 5.167
<h2>
Answer:</h2>
We will use substitution to solve this system for x.

Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.

We now have our solution.
D. 
We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.

Since the equation checks out, our solution is correct.
Answer:
45
Step-by-step explanation:
Subtract $34.99 from $40 to figure out how much money you have left for text messages.
You have $5.01 left and you divide that by $0.11 (cost for each text). Your answer is 45.5454. Since you can’t send 1/2 a text, your answer is 45.