154 text messages were sent
explanation:
0.25x+7=45.50
subtract 7 from both sides
0.25x=38.5
divide both sides by 0.25
x=154
154 text messages
Answer:
Step 1: Flip the equation.
−x−2=y
Step 2: Add 2 to both sides.
−x−2+2=y+2
−x=y+2
Step 3: Divide both sides by -1.
−x
−1
=
y+2
−1
x=−y−2
Step-by-step explanation:
Answer:
6*n < - (39 + 3/4)
Step-by-step explanation:
Let's do it in steps:
"Six times a number" can be written as:
6*n
Where n is the "number"
"... is less than negative thirty-nine and three-quarters "
then we have:
6*n < - (39 + 3/4)
This is the inequality we wanted, now we can also solve this for n as:
n < -(39 + 3/4)/6
Answer:
The speed of the airplane in still air is 550 mph.
The speed of the wind is 50 mph.
Step-by-step explanation:
speed = distance / time
distance = speed * time
or simply
d = st
Let v be the speed of the airplane with no wind.
Let w = speed of wind
With the wind:
d = 1800; s = v + w; t = 3
1800 = 3(v + w)
Against the wind:
d = 1800; s = v - w; t = 3.6
1800 = 3.6(v - w)
We have a system of two equations:
3(v + w) = 1800
3.6(v - w) = 1800
Divide both sides of the first equation by 3. Divide both sides of the second equation by 3.6.
v + w = 600
v - w = 500
Add the equations.
2v = 1100
v = 550
The speed of the airplane in still air is 550 mph.
v + w = 600
550 + w = 600
w = 50
The speed of the wind is 50 mph.
Answer:
Final price would be $35.19.... discount is $8.80.
Soulution:
Replacing the given values in formula (a) we have:
Amount Saved = Original Price x Discount in Percent / 100. So,
Amount Saved = 43.99 x 20 / 100
Amount Saved = 879.8 / 100
Amount Saved = $8.8 (answer).
In other words, a 20% discount for a item with original price of $43.99 is equal to $8.798 (Amount Saved)
