Answer:
a. So the electric guitar is sold for a sale price of $315 after the discount. The discount was 30%. Even though we get that amount off, we still pay 70% of the original price, because 100% (original price) - 30% is 70%.
b. An equation that can help us find the regular price of the item is through writing and solving a proportion. Set it up like this:
315/x = 70/100
This is because 315 is part of the whole and is 70% of the value of x.
Step-by-step explanation:
Okay. Let's solve this by cross multiplying the values. 315 * 100 is 31,500. 70 * x is 70x. That simplifies to 31,500 = 70x. Didivde each side by 70 to isolate the x. 70x/70 cancels out. 31,500/70 is 450. Let's check this by multiply the number by 70% and see what happens. 450 * 70% (0.7) is 315. There. x = 450. The regular price was $450.
Answer:
The value of given expression is 1.
Step-by-step explanation:
The given expression is

If a is a real number, then
.
![[\because a^0=1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E0%3D1%5D)
Using exponent property we get,
![[\because a^{-n}=\frac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cfrac%7B1%7D%7Ba%5En%7D%5D)


Therefore the value of given expression is 1.
Answer:
6 3/8
Step-by-step explanation:
Convert the fractions so that the denominators match.
, then 

, then 
Add up the fractions.

The length of arc PS from the information given in the task content is; 31.5 ft.
<h3>What is the length of the arc PS?</h3>
It follows from the task content that;
- Point T is the center of the circle and line TR is the radius of the circle.
- Additionally, the angle subtended by arcPS = 180 - m<PS = 180 - 16 = 164⁰. This follows from the fact that line PR is a diameter.
On this note, the length of arc PS is;
arc PS = (164/360) × 2 × 3.14 × 11.
arc PS = 31.5ft.
Read more on length of an arc;
brainly.com/question/2005046
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The first one A) :)))))))