Answer: Paul can set up his studio and have $378 left over.
Step-by-step explanation:
In order to setup his own recording studio, he needs to purchase four speakers at $435 apiece. It means that the cost of 4 speakers is
4 × 435 = $1740
He also needs to purchase two mixers at $772 apiece. It means that the cost of 2 mixers is
772 × 2 = $1544
He also needs to soundproof a room, which will cost him $838. Therefore, the total cost of all he needs is
1740 + 1544 + 838 = $4122
If Paul has $4,500 in his savings account, then Paul can set up his studio and have $378 left over because
4500 - 4122 = $378
Answer:
x=19
Step-by-step explanation:
cross multiply
(−3)(+5)(3+5)=(−3)(+5)⋅2−3
(−3)⋅3=(+5)⋅2
3(−3)=(+5)⋅2
=19
Answer: 2 hr.
Explanation: Think back to rate of change. <em>d</em> = <em>rt</em>, <em>r</em> = <em>d/t</em>, <em>t</em> = <em>d/r</em>. In this case, we will be using <em>d</em> = <em>rt</em>. Mph would be <em>r</em>, rate, so you would categorize 15 mph and 8 mph under rate. <em>t</em> should represent the time each cyclist traveled. Tracey's and Emma's distance, <em>d</em>, would be the same as their mph, hence Tracey's being 15<em>t</em> and Emma's would be 8<em>t</em>. When you add Tracey's distance plus Emma's distance, you end up with 46 mi. Now, you need to combine like terms, which should look like 15<em>t</em> + 8<em>t </em> = 46. Add 15 and 8 to get 23, so it should be 23<em>t</em> = 46 now. Then, divide both sides of the equation by 23 and now you should have your answer, <em>t</em> = 2 hr.
