Answer:
Dots sold 152 t-shirts and 38 shorts sold.
Step-by-step explanation:
Let t = t-shirts and s = shorts.
We know that people bought 4 times as many t-shorts as shorts, which can be set to the equation t = 4s
Since t-shirts cost $2, shorts cost $4, and the total sales was $456, we can set the equation 2t +4s = 456
So our two equations are:
t = 4s
2t + 4s = 456
Substitute t from the 1st equation into the 2nd:
2(4s) + 4s = 456
8s + 4s = 456
12s = 456
s = 38
There were 38 shorts sold.
Since we have the number of shorts, we can plug that back into the 1st equation to find the number of t-shirts sold:
t = 4s
t = 4(38)
t = 152
There were 152 t-shirts sold.
Answer:
Yes, A KLP can be reflected across the line containing KP and then translated so that Pis mapped to M.
Step-by-step explanation:
The figure shows two congruent by HA theorem (they have congruent hypotenuses and a pair of congruent angles adjacent to the hypotenuses) triangles KLP and QNM.
A rigid transformation is a transformation which preserves lengths. Reflection, rotation and translation are rigit transformations.
If you reflect triangle KLP across the leg KP and translate it up so that point P coincides with point M , then the image of triangle KLP after these transformations will be triangle QNM.
So if 18 + x =43, then what you need to do is
18 + x =43
-18 -18
——————
x = 25
because whatever you do to one side, you need to do to the other
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The price p, in dollars, of a specific car that is x year old is modeled by the function p(x)=22,255(0.91)^x
a) to determine the cost of a 2 year old car, we will substitute 2 for x in the given function. Therefore
p(2)=22,255(0.91)^2
p(2)=22,255 × 0.8281 = $18673.655
Approximately $18674
b) to determine the cost of a 7 year old car, we will substitute 7 for x in the given function. Therefore
p(7)=22,255(0.91)^7
p(2)=22,255 × 0.51676101936 = 11500.51648579693
Approximately $11501
c) 0.91 indicates exponential decay rate. It is a fixed percentage by which the value of the car decreases every year. It is determined by (1 - rate of decay)
Answer:
314 * 2
Step-by-step explanation:
