Answer: 24.52%
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Work Shown:
Convert the time 7:45, which represents 7 min 45 sec, to seconds only
7:45 = (7 min) + (45 sec)
7:45 = (7*60 sec) + (45 sec)
7:45 = (420 sec) + (45 sec)
7:45 = (420+45) sec
7:45 = 465 sec
Do the same for 5:51
5:51 = (5 min) + (51 sec)
5:51 = (5*60 sec) + (51 sec)
5:51 = (300 sec) + (51 sec)
5:51 = (300+51) sec
5:51 = 351 sec
So the initial time is 465 seconds and it drops to 351 seconds
Subtract the values to find the amount dropped: 465-351 = 114
Divide that difference over the initial time: 114/465 = 0.24516
Move the decimal over 2 spots to the right to convert to a percentage: 0.24516 --> 24.516%
Then round to the nearest hundredth of a percent (2 decimal places) to go from 24.516% to 24.52% which is our final answer
So the reduction is roughly 24.52%
This means if you took 24.52% of the initial time and subtracted it off, then you'd get to about 351 seconds.
Answer:
37.89051724=x
Step-by-step explanation:
We can use similar triangles and proportions to solve. Put the same side of the small triangle over the large triangle.
MA MB
------- = ----------
MN MP
80.5 -35 x
------------- = ----------
70.5 96.6 -x
Simplifying
45.5 x
------------- = ----------
70.5 96.6 -x
Using cross products
45.5 (96.6-x) = 70.5x
Distribute
4395.3 - 45.5 x = 70.5x
Add 45.5x to each side
4395.3 - 45.5 x+45.5x = 70.5x+45.5x
4395.3 = 116x
Divide each side by 116
4395.3/116 = 116x/116
37.89051724=x
Q1. The answer is To solve, you must divide both sides by 6
The equation is: 6d = 12
<span>Multiplication is the inverse operation: TRUE - 6d = 12 d = 12/6
Checking the solution involves multiplication: TRUE - 6 * 2 = 12
The equation represents the number that gives twelve when multiplied by 6: TRUE d is </span>the number that gives twelve when multiplied by 6<span>
To solve, you must divide both sides by 6: false
Q2. The answer is 18
</span><span>
x - the number of students
The students were divided equally among 3 chaperones: 3 chaperones per x
Each chaperone supervised 6 students: 1 chaperone per 6 students
3 : x = 1 : 6
x = 3 * 6 : 1
x = 18
Q3. The answer is </span><span>t is greater than or equal to five.
</span>
It will take Harlon at least five years to complete his college degree. The key word is at least. This means that it can include number 5 as well. He may need 5 years, 6 years, 7 years,... Hence, t is greater than or equal to five.
Q4. The answer is <span>1.2
</span>
<span>p over zero point three + 2 = 6
p/0.3 + 2 = 6
multiply both sides by 0.03
p + 2 * 0.3 = 6 * 0.3
p + 0.6 = 1.8
p = 1.8 - 0.6
p = 1.2
Q5. The answer is 2.
</span><span>16w = 32
Divide both sides by 16
16w/16 = 32/16
w = 2</span>
Answer:4^6
Step-by-step explanation:
<em>The number of times a term is multiplied is the exponent you use.</em>
<em></em>
<em>In this problem </em>
<em>4 is multiplied 6 times.</em>
<em></em>
<em>Therefore: 4*4*4*4*4*4=4^6</em>
Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
