<span>-49 + -2x + 12x = 101 + -12x + 12x Combine like terms: -2x + 12x = 10x -49 + 10x ... 101 + 49 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15 </span><span>
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1: 19 (4x+25=6x -13, solve for x, 25+13=6x-13, 38=2x, x=19, 4(19)+25=101 6(19)-13+101)
2: 23 (3x-8=2x+15)
3: Madison has $59 and Saul has $31 (together they have $90 so divided by 2 and you get 45, Madison has 6 dollars more so subtract 6 from Saul and ad 6 to Madison, make sure that when you ad them you get $90)
4 : 5 weeks ($3 each week, so you multiply 3x5 and get 15. 15+57=72 but the problem says more then so maybe it’s 6 weeks cause that’s $75)
5: 10 weeks (he has 1,800 and needs 2,150, subtract 1,800 from 2,150 for how much he needs. You get 350. He needs that and he makes 35 a week so that would be 350 divided by 35, which is 10)
6:20 miles (it’s 2.25 for that’s first mile. He spent 6.05 so subtract 2.25 from 6.05 and you get 3.80, 3.80 divided by 0.20 is 19, then you need to add that first mile and it’s 20)
7: 6 figures in a complete set (Charlie starts out with 2 and Patrick starts out with 20 individual figures. Charlie has 6 sets and Patrick has 3, i multiplied the number of sets they had by 6 then added their individual figures until they numbers matched up)
8: an orange has 45 calories and an apple has 75 calories (5x-150=3x, 5x-3x= -2x, -2x divided by -150 = 75, 75-30 is 45. 75 is the apple and because it’s 30 more you subtract 30 for orange)
Answer:
2 inches per hour
Step-by-step explanation:
2 1/2 hours is equivalent to 150 minutes.
Set up a proportion; let x equal inches of rain
=
Cross multiply -> 150x=300
Divide both sides by 150 to get -> x=2
Answer:
The steepness of any incline can be measured as the ratio of the vertical change to the horizontal change. For example, a 5 % incline can be written as 5100 , which means that for every 100 feet forward, the height increases 5 feet.Figure 4.4.1 In mathematics incline of a line the slope and use the letter m to denote it. The vertical change is called the rise and the horizontal change is called the run.Slopem=vertical changehorizontal change=riserun(4.4.1)The rise and the run can be positive or negative. A positive rise corresponds to a vertical change up and a negative rise corresponds to a vertical change down. A positive run denotes a horizontal change to the right and a negative run corresponds to a horizontal change to the left. Given the graph, we can calculate the slope by determining the vertical and horizontal changes between any two points.Example 4.4.1 Figure 4.4.2 From the given points on the graph, count 3 units down and 4 units right.m=riserun=−3units4units=−34 the Answer is.m=−34 .
Step-by-step explanation:
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