Answer: x = 24
Step-by-step explanation:
9x - 18 = 7x + 30
9x - 7x = 30 + 18
2x = 48
x = 48/2 = 24
Answer:
Step-by-step explanation:
First, lets put this into y=mx+b form.
You can bring the 13x over to the 14, by subtracting and you get -2y=14-13x, or also -2y = -13x + 14
Then you can divide both sides by -2 to get y, and you get
-2y/-2 = -13x/-2 + 14/-2 which is simplified to y=13/2x + (-7) which is
y=13/2x-7
{[( IMPORTANT )]}
THIS HAS THE SLOPE IN A IMPROPER FRACTION... CHECK IF YOU USE MIXED NUMBERS OR IMPROPER FRACTIONS
the mixed number form is y = 7 1/2 x -7
Hope this helps!
Answer:
Step-by-step explanation:
3 shirts
Answer:
12 mph
Step-by-step explanation:
The relationship between jogging speed and walking speed means the time it takes to walk 4 miles is the same as the time it takes to jog 8 miles. Then the total travel time (0.75 h) is the time it would take to jog 1+8 = 9 miles. The jogging speed is ...
(9 mi)(.75 h) = 12 mi/h . . . average jogging speed
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<em>Check</em>
1 mile will take (1 mi)/(12 mi/h) = 1/12 h to jog.
4 miles will take (4 mi)/(6 mi/h) = 4/6 = 8/12 h to walk.
The total travel time is (1/12 +8/12) h = 9/12 h = 3/4 h. (answer checks OK)
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<em>Comment on the problem</em>
Olympic race-walking speed is on the order of 7.7 mi/h, so John's walking speed of 6 mi/h should be considered quite a bit faster than normal. The fastest marathon ever run is on the order of a bit more than 12 mi/h, so John's jogging speed is also quite a bit faster than normal. No wonder he got tired.
Answer:
x = -6 x=5
Step-by-step explanation:
x^2 +x -30 =0
Factor
What two numbers multiply to -30 and add to 1
6 * -5 = -30
6-5 =1
(x+6) (x-5) =0
Using the zero product property
x+6 =0 x-5=0
x+6-6=0-6 x-5+5=0+5
x = -6 x=5
