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
<h3>
Answer: 22.5</h3>
Work Shown:
450 calories = 20 ounces
450/20 calories = 20/20 ounces ..... divide both sides by 20
22.5 calories = 1 ounce
This smoothie has 22.5 calories per ounce.
Answer:
part 1) 0.78 seconds
part 2) 1.74 seconds
Step-by-step explanation:
step 1
At about what time did the ball reach the maximum?
Let
h ----> the height of a ball in feet
t ---> the time in seconds
we have

This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
so
The x-coordinate of the vertex represent the time when the ball reach the maximum
Find the vertex
Convert the equation in vertex form
Factor -16

Complete the square


Rewrite as perfect squares

The vertex is the point 
therefore
The time when the ball reach the maximum is 25/32 sec or 0.78 sec
step 2
At about what time did the ball reach the minimum?
we know that
The ball reach the minimum when the the ball reach the ground (h=0)
For h=0



square root both sides


the positive value is

Colfax:
Add the ratio numbers together:
5 + 4 = 9
Divide total students by that:
270 / 9 = 30
Multiply each ratio by 30:
Boys = 30 *5 = 150
Girls = 30 * 4 = 120
Do the same for Winthrop:
4 +5 = 9
180 /9 = 20
Boys = 20 * 4 = 80
Girls = 20 * 5 = 100
Total students = 270 + 180 = 450
Total Girls = 120 + 100 = 220
Fraction that are girls = 220 / 450 which reduces to 22/45