Answer: 47.75
Step-by-step explanation: It explains at the end that she bought 30 prints. You would take 30 and just plug it in for X. So the formula would look like this, B(x)=50.75-0.10(30).
Answer:
7.
lateral surface area of traingular prism=perimeter of traingle ×length=[5+3+4]×6=72cm²
curved surface area=2[area oftraingle]=2×1/2×4×3
=12cm²
now
total surface area=72cm²+12cm²=84cm²
8.
volume of traingular prism=area of traingle ×length
=1/2×12×3.4×4=81.6cm³
If you would like to know how many gallons remain to be used, you can do this using the following steps:
lost: 2% of 280 gallons = 2% * 280 gallons = 2/100 * 280 = 5.6 gallons
280 gallons - 5.6 gallons = 274.4 gallons
The correct result would be 274.4 gallons.
There are seven colors in a rainbow, namely red, orange, yellow, green, blue, indigo and violet. Therefore, there are 7 total possibilities. Keep in mind that when we two events are to happen together, their probabilities are mulitplied. Therefore, in the first case, P(violet) = 1/7 and P(orange) = 1/7; P(violet then orange) = 1/7 * 1/7 = 1/49. If the crayon is not replaced, P(orange) = 1/6. Therefore, P(violet then orange) = 1/7 * 1/6 = 1/42.
<h3>Part 1</h3>
If we simplify, both Joe and Hope factored the polynomial correctly but Joe didn't complete it fully.
<u>The first binomial can be further factored:</u>
<h3>Part 2</h3>
The quadratic expression needs to have two roots in order to be factored as two binomials.
<u>The discriminant must be positive or zero:</u>
We have a = 3, b = k, c = -8
<u>So we get following inequality:</u>
- k² - 4*3*(-8) ≥ 0
- k² + 96 ≥ 0
<u>Since k² is positive for any value of k, the solution is any value of k:</u>
