Complete Question
William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p pretzels. Which inequality can be used to find the number of pretzels William can buy?
a) 1.25p−0.9≤7.5
b) 1.25p+0.9≤7.5
c) 1.25p+0.9≥7.5
d) 1.25+0.9p≤7.5
Answer:
b) 1.25p+0.9≤7.5
Step-by-step explanation:
William has $7.50 to spend at the pretzel shop.
This means Williams can spend at least $7.50
A pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and ?pretzel
Therefore, the inequality can be used to find the number of pretzels William can buy is written as
1.25p+0.9≤7.5
Option b is the correct option
32 divided by 127 and the second one, i dont know
Answer:
C
Step-by-step explanation:
(7b-4) + (-2b+a+1)
= 7b - 4 - 2b + a + 1
=7b - 2b + a - 4 + 1
=5b + a - 3
Answer:
x = -3.5 or -1
Step-by-step explanation:
Add 7 and factor.
2x^2 +9x +7 = 0
(2x +7)(x +1) = 0
x = -3.5 or x = -1 . . . . . values that make the factors zero
_____
<em>Comment on factoring</em>
Factoring ax^2 +bx +c = 0 requires you find factors of ac that have a sum of b. Here, you're looking for factors of 2·7 = 14 that have a sum of 9. If you're observant, you realize that 2+7=9, so 2 and 7 are the factors you want.
Now, you can write the factored form as ...
(ax +p)(ax +q)/a = 0 . . . . where p and q are the factors of ac we just found
The divisor "a" is used to simplify one or both of the factors. Here, we have ...
(2x +2)(2x +7)/2 = 0
(x +1)(2x +7) = 0 . . . . . . we removed a factor of 2 from the first binomial
To get the resultant magnitude and direction of the forces we need to separate the force into its x and y components. For the x components it is the sum of 2000cos(30) and 900cos(45), which is 2368.4469 N. For the y components it will be the sum of 2000sin(30) and -900sin(45), the value for the second force is negative because it is pointing downwards, their sum would be 363.6038 N. The magnitude for the resultant force can be determined using the pythagorean theorem R=sqrt(2368.4469^2 + 363.6038^2) while its direction is found using tan^-1(363.6038/2368.4469). The final answer would be 2396.1946 N with an angle of 8.7279 degrees from the right side of x axis.
