Answer:
Step-by-step explanation:
S=student cost; T=teacher cost
.
32S+3T=$127 . Multiply this by 2.
64S+6T=$254 Subtract this below
.
25S+2T=$97.50 . Multiply this by 3.
75S+6T=$292.50
64S+6T=$254 . Subtract this (from above.)
.
11S=$38.50
S=$3.50
ANSWER 1: Student tickets cost $3.50.
.
32S+3T=$127
32($3.50)+3T=$127
$112+3T=$127
3T=$15
T=$5.00
ANSWER 2: Teacher tickets cost $5.00.
.
CHECK:
25S+2T=$97.50
25($3.50)+2($5.00)=$97.50
$87.50+$10.00=$97.50
$97.50=$97.50
Answer:
r = 4.5%
Step-by-step explanation:
Formula:
I = Prt
r = I/(Pt)
Given:
I = 662.29
P = 4205
t = 3.5
Work:
r = I/(Pt)
r = 662.29/(4205 * 3.5)
r = 662.29/14717.5
r = 0.045
r = 4.5%
Given:
The expression is
To find:
The expression in repeated multiplication form and then write the expression as a power.
Solution:
We have,
The repeated multiplication form of this expression is
![=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]](https://tex.z-dn.net/?f=%3D%5B%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5D%5Ccdot%20%5B%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5D)
Clearly, (-8) is multiplied seven times by itself. So,
Therefore, the repeated multiplication form of the given expression is 
and the expression as single power is 
.
<span>a. 17th percentile
First, take the data and sort it in increasing order, getting: 98 101 117 121 122 127 130 137 138 143 145 152.
The score of 117 is greater than 2 of the scores out of a total of 12 scores. So the percentile rank is 2/12 = 0.1666667 = 16.66667, or the 17th percentile. Therefore the answer is "a. 17th percentile"</span>
115/29 should work for your problem
