b + p = 14 and 0.80 b + 2 p = 20.80 are the system of equations.
Step-by-step explanation:
Step 1 :
Let b be the number of bananas
Let p be the number of peaches
Given that the total of bananas and peaches that Emily bought = 14
Hence we have,
b + p = 14
Step 2 :
Cost of one banana = $0.80
Cost of one peach = $2
Cost of all the bananas and peaches Emily bought = $20.80
So sum of b bananas costing $0.80 and sum of p peaches costing $2 each is $20.80
Hence we have
0.80 b +2 p = 20.80
Solving for the above 2 equations we can get the value for b and p which will give the number of bananas and peaches bought
Step 3 :
Answer :
The system of equations that could be used to find the number of the bananas and the number of the peaches that Emily bought is given by
b + p = 14
0.80 b +2 p = 20.80
<span>v = 4/3*pi*r^3
derivating both sides with respect to t
dv/dt = 4*pi*r^2*dr/dt
when d = 1.7, r = 0.85, and dv/dt = 2:
2 = 4*pi*(0.85)^2*dr/dt
thus
dr/dt = 1/(2pi*(0.85)^2)
=1/(2*3.14*0.85^2)
=0.22</span><span />
Answer:
Price of a senior citizen ticket is $4 and price of a student ticket is $15 .
Step-by-step explanation:
Let us assume that the price a senior citizen ticket be x .
Let us assume that the price a student citizen ticket be y .
As given
The school that Jack goes to is selling tickets to a choral performance.
On the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156.
Equtaions becomes
9x + 8y = 156
As given
The school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets.
Equations becomes
7x + 9y = 163
Multipy 9x + 8y = 156 by 9 .
81x + 72y = 1404
Multiply 7x + 9y = 163 by 8 .
56x + 72y = 1304
Subtracted 56x + 72y = 1304 from 81x + 72y = 1404 .
81x - 56x + 72y - 72y = 1404 - 1304
25x = 100

x = $ 4
Putting value of x in the 56x + 72y = 1304 .
56 × 4 + 72y = 1304
224 + 72y = 1304
72y = 1304 - 224
72y = 1080

y = $15
Therefore the price of a senior citizen ticket is $4 and price of a student ticket is $15 .
That would be 7 because 7x2=14 and 14-9=5
4^1= 4. the exponential form is b^e=n, while log is logb n=1.