Answer:
x = -8
Step-by-step explanation:
9+8x-4-5x=-19
5+8x-5x=-19
5+3x=-19
-5 =-19
3x = -24
3/3 = -24/3
x= -8
Answer: x = 780
Step-by-step explanation: Well <u><em>percent</em></u> means <em>over 100</em> so we can set up an equation for this problem by reading it from left to right.
So we know that <u><em>10%</em></u> means <em>10/100</em>, <u><em>of</em></u> means times, <em><u>what</u></em> <em><u>number</u></em> means <em>x</em>, <u><em>is</em></u> means <em>equals</em>, and <em><u>12</u></em> means 12.
Notice that <em>10/100</em> can be reduced to 1/10.
So rewriting our problem we have <em>X/10 = 78</em>.
To get rid of the fraction, we multiply both sides of the equation by 10 and we have <em>x = 780</em>. So, 10% of 780 is 78.
Now let's check our answer back in the original problem to see if it makes sense.
We have <em>10% of 780 is 78</em>. Well we know that 100% of of 780 would be 780 so 10% of 780 should be alot less than 780 so 78 seems to make sense.
Image provided showing my work.
Answer:
35000 - 2500m
Step-by-step explanation:
Height of the airplane before it starts descending = 35,000 feet
Rate of descend = 2500 feet per minute
This means for every 1 minute the height of airplane is decreasing by 2500 feet. So, for every "m" minutes the height of airplane will decrease by 2500m feet.
Let h(m) denotes the height of the airplane after m minutes. The equation for h(m) can be set up as:
Height of airplane at m'th minute = Original Height - Distance descended in m minutes
So,
h(m) = 35000 - 2500m
This expression describes the height of airplane after any number of minutes(m).
Since you know that DA and DC are equal in length, you can say 2x-3=x+2, when you add 3 to both sides, it becomes 2x=x+5, subtract x from both sides, and you find that x=5