The <em>correct answer</em> is:
Her number is 7.
Explanation:
Let x represent her number.
She triples her number; this is represented by 3x.
She then adds 5 to this; this gives us 3x+5.
She gets 26 aas her answer. This gives us the equation:
3x+5 = 26
To solve this, first subtract 5 from each side:
3x+5-5 = 26-5
3x = 21
Divide each side by 3:
3x/3 = 21/3
x = 7
Answer:
x = 3/7
x = 0.43
Step-by-step explanation:
Make x the subject
x > ×7 > + 4 > -4 = 3
3 > + 4 > -4 > ÷ 7 = x
Answer:
A. Plane B because it was 9.33 miles away
B. 48 units
Step-by-step explanation:
A. Since the airplanes fly at an angle to the runway, their direction forms a triangle with the runway with their height above the ground as the opposite of the angle and their distance from the airport as the hypotenuse.
So for airplane A with 44° angle of departure,
sin44° = y/h where y = height above the ground and h = distance from airport
So h = y/sin44° = 6/sin44° = 8.64 miles
So for airplane B with 40° angle of departure,
sin40° = y/H where y = height above the ground and H = distance from airport
So H = y/sin40° = 6/sin40° = 9.33 miles
Since airplane B is at 9.33 miles away from the airport whereas airplane A is 8.64 miles from the airport, airplane B is farther away.
B. We know that scale factor = new size/original size
Our scale factor = 4 and original size = 12 units. So,
new size = scale factor original size = 4 × 12 = 48 units.
The solutions will lie in all the four quadrants.
y≤2/7x+1
We have the following inequality:
y=2/7x+1
If x=0
y=2/7(0) +1
y=1
If y=0
x=-3.5
So the line passes through the points:
(0,1) and (-3.5,0)
To find the shaded region, let us take a point, namely, the origin and test it in the inequality:
y≤ 2/7x +1
0≤ 2/7(0) +1
0≤ 1 which is true
Since this is true, then the shaded region includes this point. This is shown below and as you can see the solutions exist in all four quadrants.
To learn more about Inequalities, visit brainly.com/question/12890742
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Answer:
B
Step-by-step explanation:
i hope it helps
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