X= 9 2/7 ( the first answer is correct )
Answer:
26
Step-by-step explanation:
Let x be the first even integer
x+2 is the second even integer
x+4 is the third even integer
The sum of three consecutive even integers is 84
x+ (x+2) + (x+4) =84
Combine like terms
3x +6 = 84
Subtract 6 from each side
3x+6-6 =84-6
3x =78
Divide each side by 3
3x/3 = 78/3
x =26
The three integers are 26, 28,30
The smallest is 26
Answer:
$625.6
Step-by-step explanation:
Information about the holiday:
7 night holiday
$340 per person
8% discount if you book before 31 March
Number of people Naseem booked the holiday for = 2
Date of booking of the holiday = 15 February
Total cost of the holiday per person = cost per person - discount before March 31
= $340 - 8% of $340
= 340 - 8/100 * 340
= 340 - 0.08 * 340
= 340 - 27.2
= $312.8
Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person
= 2 * $312.8
= $625.6
Answer:
The slope of the line would be -2.
Step-by-step explanation:
Because the equation is a line, the slope is the same throughout the entire graph on the equation.
Lets let f(x)=y=-2x+4.
f(0) = -2(0) + 4 = 4
f(0)=4
f(1) = -2(1) + 4 = 2
f(1)=2
Use the equation to find slope.
m(slope) =
=
= -2
<em>The slope would be -2.</em>
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Or:
Use the equation y = mx + b where m=slope.
In the equation y=-2x+4, m=-2.
<em>The slope is -2.</em>
The function that represents Wayne´s elevation:
y = 30 x - 105
The function that represents Winston´s elevation:
- 100 = 0 m + b
b = -100
-16 = 3m - 100
3 m = 84
m = 84 : 3 = 28
y = 28 x - 100
Surface level: y = 0
Wayne:
0 = 30 x - 105
x = 3.5 minutes
Winston:
0 = 28 x - 100
x = 3.57 minutes
If they both ascend at the same rate, Wayne will be first to the surface.