X = 5 boxes
<u><em>figure out the X for each person</em></u>
<u>Lizzy sold</u>: 5 * 5 = 25 boxes
<u>Suzy sold</u>: 5 * 1 = 5 boxes
<u>John sold</u>: 5 * 3 = 15 boxes
<u>Mark sold</u>: 5 * 8 = 40 boxes
<u>Lamar sold</u>: 5 * 4 = 20 boxes
→ How many boxes did Lamar sell?
Answer: 20 boxes
→ How many more boxes did John sell than Suzy?
Answer: 10 boxes
<u><em>workout</em></u>: 15 boxes - 5 boxes = 10 boxes more
→ How many more boxes would Lizzy have to sell to equal how many Mark sold?
Answer: 15 boxes
<u><em>workout</em></u>: 40 boxes - 25 boxes = 15 boxes more
Answer:
Step-by-step explanation:
11) First write in decreasing exponential terms and fill in blanks with zeros.
Our goal is to eliminate all term in the dividend by subtraction
________________
2v - 2 | 2v³ - 16v² + 0v + 13
we see that 2v needs to be multiplied by 1v² to eliminate the first term
<u> v² </u>
2v - 2 | 2v³ - 16v² + 0v + 13
<u>- (2v³ - 2v²)</u>
0 - 14v²
multiply your estimate by your divisor and subtract from the dividend.
bring down the next term and repeat.
<u> v² -7v </u>
2v - 2 | 2v³ - 16v² + 0v + 13
<u>- (2v³ - 2v²)</u>
0 - 14v² + 0v
<u>-(-14v² + 14v)</u>
- 14v
repeat again
<u />
<u> v² - 7v - 7 </u>
2v - 2 | 2v³ - 16v² + 0v + 13
<u>- (2v³ - 2v²)</u>
0 - 14v² + 0v
<u>-(-14v² + 14v)</u>
- 14v + 13
<u>-(-14v + 14)</u>
-1
and remainder gets put over the divisor and appended
v² - 7v - 7 - 1/(2v - 2)
13) Same process
<u> </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u> 8a² </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u>-(40a³ + 8a²)</u>
-20a² - 39a
<u> 8a² - 4a </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u>-(40a³ + 8a²)</u>
-20a² - 39a
-(-<u>20a² - 4a)</u>
-35a - 5
<u> 8a² - 4a - 7 </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u>-(40a³ + 8a²)</u>
-20a² - 39a
-(<u>20a² - 4a)</u>
-35a - 5
-<u>(-35a - 7)</u>
2
8a² - 4a - 7 + 2/(5a + 1)
Answer:
I. AC = 15 cm
II. h = 7.4 cm
Step-by-step explanation:
I. Determination of AC
AB = 9 cm
BC = 12 cm
AC =?
The length AC can be obtained by using pythagoras theory as illustrated below:
AC² = AB² + BC²
AC² = 9² + 12²
AC² = 81 + 144
AC² = 225
Take the square root of both side
AC = √225
AC = 15 cm
II. Determination of the height.
AB = 9 cm
AD = 5.1 cm
BD = h =?
The height of the triangle can be obtained by using pythagoras theory as illustrated below:
AB² = AD² + BD²
9² = 5.1² + h²
81 = 26.01 + h²
Collect like terms
h² = 81 – 26.01
h² = 54.99
Take the square root of
h = √54.99
h = 7.4 cm
Answer:
B. (x, y) --> (x, y + 5)
Step-by-step explanation:
Y is up and down
X is left and right
So assuming that Y is north she needs to go 5 units up Y
(x, y + 5) = (x, 5y)
Answer:
The solution to the system of equations is x=3 y= 23
Step-by-step explanation:
solving this system of equation using substitution method
-3x-y=14 ….. equation (1)
-9x =-27 ….. equation (2)
Solving for value of x from equation 2
-9x =-27
so x= -27/-9 = 3
so x = 3
The second equation is solved for x, so we can substitute the expression 3 in for x in the first equation (1)
-3x-y=14
-3 (3) - y =14
-9-y= 14
-9=14+y
y=-23
The solution to the system of equations is x=3 y= -23
We can check our work by plugging these numbers back into the original equations. Let's try -3x-y=14
-3x-y=14
-3(3) -(-23)= 14
-9+23 = 14
14= 14
Yes, our solution checks out.
