Answer:
100 im pretty sure because 10 x 10 = 100
Answer:
The price of the cell phone without the coupon= $500
Step-by-step explanation:
Step 1: Express discounted amount
The discounted amount can be expressed as a function of the original cost of the phone as follows;
D=r×A
where;
D=discounted amount
r=coupon rate
A=original price of the cell phone before the coupon
In our case;
r=45%=45/100=0.45
A=a
replacing;
Discounted amount=(0.45×a)=0.45 a
Step 2: Amount she pays up
Amount she pays=Original cost of cell phone-discounted amount
where;
Amount she pays= $275
original cost of cell phone=a
discounted amount=0.45 a
replacing;
$275=a-0.45 a
0.55 a=275
a=275/0.55
a=500
The price of the cell phone without the coupon= $500
The slope for the graph is 2/3 and for the equation the slope is 3/2
Answer:
Yes
Step-by-step explanation:
the function that gives the alcohol level is:
![A ( x ) = - 0.015 x^3 + 1.05 x](https://tex.z-dn.net/?f=A%20%28%20x%20%29%20%3D%20-%200.015%20x%5E3%20%2B%201.05%20x)
where x is the number of hours.
we need to know if after 4 hours an average person is legally drunk, thus:
![x=4](https://tex.z-dn.net/?f=x%3D4)
and we substitute this in the function:
![A ( 4 ) = - 0.015 (4)^ 3 + 1.05(4)](https://tex.z-dn.net/?f=A%20%28%204%20%29%20%3D%20-%200.015%20%284%29%5E%203%20%2B%201.05%284%29)
solving these operations we obtain:
![A(4)=-0.015(64)+4.2\\A(4)=-0.96+4.2](https://tex.z-dn.net/?f=A%284%29%3D-0.015%2864%29%2B4.2%5C%5CA%284%29%3D-0.96%2B4.2)
![A(4)=3.24](https://tex.z-dn.net/?f=A%284%29%3D3.24)
the alcohol level after 4 hours is 3.24.
Since a person is considered to be legally drunk if the level exceeds 1.5, and we obtained 3.24 which is greater than 1.5, a person who has been drinking for 4 hours under the conditions indicated by the problem would be considered legally drunk.
Answer:
Marta
Step-by-step explanation:
We are given that
![50+\frac{1}{2}m=120](https://tex.z-dn.net/?f=50%2B%5Cfrac%7B1%7D%7B2%7Dm%3D120)
We have to find who is correct and explain.
We know that
Equation: It is mathematical sentence that combines numbers and variables which shows the equality of two expressions.
Example:
![x+y=3](https://tex.z-dn.net/?f=x%2By%3D3)
Expression: It is mathematical phrase that combines numbers and variables
using mathematical operators.It can be evaluated but not solved.
Example:
![x+y](https://tex.z-dn.net/?f=x%2By)
By definitions
![50+\frac{1}{2}m=120](https://tex.z-dn.net/?f=50%2B%5Cfrac%7B1%7D%7B2%7Dm%3D120)
It is in equation form.
Therefore, Marta is correct.