One box of candy costs $1.50. A movie rental costs $2.
The answer is <span>A. .357 + .372 + .350 + .349 + x = 1.754; .326
</span>
x1 - average of <span>1999 Nomar Garciaparra Boston
</span>x2 - average of 2000 Nomar Garciaparra Boston
x3 - average of <span>2001 Ichiro Suzuki Seattle
</span>x4 - average of Manny Ramirez Boston
x - average of <span>2003 Bill Mueller Boston
</span><span>The sum of these five batting averages is 1.754:
x1 + x2 + x3 + x4 + x = 1.754
From the table:
x1 = 0.357
x2 = 0.372
x3 = 0.350
x4 = 0.349
x = ?
<u>0.357 + 0.372 + 0.350 + 0.349 + x = 1.754</u>
1.428 + x = 1.754
x = 1.754 - 1.428
<u>x = 0.326</u></span>
Answer:
72
Step-by-step explanation:
<u>Given:</u>
There were 120 people in total.
60% were parents.
<u>To find:</u>
Number of parents attended.
Solution:
1. 60% of 120
It can also be written as:
![\frac{60}{100}\times \frac{120}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B100%7D%5Ctimes%20%5Cfrac%7B120%7D%7B1%7D)
Simplify
![\frac{60}{100}\\\\=\frac{6}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B100%7D%5C%5C%5C%5C%3D%5Cfrac%7B6%7D%7B10%7D)
- Divide by common factor (2)
![\frac{6\div2}{10\div2}=\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B6%5Cdiv2%7D%7B10%5Cdiv2%7D%3D%5Cfrac%7B3%7D%7B5%7D)
2. ![\bold{\frac{3}{5}\times \frac{120}{1}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cfrac%7B3%7D%7B5%7D%5Ctimes%20%5Cfrac%7B120%7D%7B1%7D%7D)
Multiply
![\frac{3\times120}{5\times1} = \frac{360}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Ctimes120%7D%7B5%5Ctimes1%7D%20%3D%20%5Cfrac%7B360%7D%7B5%7D)
Divide
![\frac{360}{5}= 360\div5=72](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7B5%7D%3D%20360%5Cdiv5%3D72)
Therefore, 72 parents attended the game.
Answer:
and
.
Step-by-step explanation:
Equation:
![\rm \: \: (2x - 1)(3x + 4) = 0](https://tex.z-dn.net/?f=%20%5Crm%20%5C%3A%20%20%5C%3A%20%282x%20-%201%29%283x%20%2B%204%29%20%3D%200)
Solution:
Set factors equal to zero,that is:
![(2x - 1) = 0 \: \: \: \: \: \: \: \: \: \: \: ...(1)](https://tex.z-dn.net/?f=%282x%20-%201%29%20%3D%200%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20...%281%29)
![(3x + 4) = 0 \: \: \: \: \: \: \: \: \: \: \: \: ...(2)](https://tex.z-dn.net/?f=%283x%20%2B%204%29%20%3D%200%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20...%282%29)
Solving for equation 1:
Solving for equation 2:
Hence,the solutions to the quadratic equation in factored form is
and
.
![\rule{225pt}{2pt}](https://tex.z-dn.net/?f=%5Crule%7B225pt%7D%7B2pt%7D)
Good luck on your assignment!