Answer:
48
Step-by-step explanation:
You can easily find the percent of a number by multiplying the percent in decimal format (0.32) by the number you want to find the percent of.
150 * 0.32 = 48
Her speed is .266 of a lap per min.
Scale back to unit rate (per sec) then up to 60 sec (min)
Answer:
Step-by-step explanation:
Is C
Both the train will meet after 36 minutes.
<h3>Concept:</h3>
- To find when both the train will meet again at the same time, we need to find the LCM of the frequency.
<h3>How to solve the given question?</h3>
- Frequency of express train = 9 minutes = 3 × 3
- Frequency of local train = 12 minutes = 2 × 2 × 3
- LCM = 2 × 2 × 3 × 3 = 36
Thus, both the train will meet after 36 minutes.
Learn more about LCM here:
brainly.com/question/21504246
#SPJ2
Given QR is congrent to LN and QR = 4x + 2 and LN = x + 7.
So, QR = LN
Hence, we can set up an equation as following:
4x + 2 = x + 7
4x + 2 - x = x + 7 - x Subtract x from each sides.
3x + 2 = 7 By simplifying.
3x + 2 - 2 = 7 - 2 Subtract 2 from each sides.
3x = 5
Divide each sides by 3 to isolate x.
So, ![x=\frac{5}{3}](https://tex.z-dn.net/?f=%20x%3D%5Cfrac%7B5%7D%7B3%7D%20)
Next step is to plug in
in QR = 4x+2 to get length of QR.
So, ![QR = 4(\frac{5}{3})+2](https://tex.z-dn.net/?f=%20QR%20%3D%204%28%5Cfrac%7B5%7D%7B3%7D%29%2B2%20)
Since 2 can be written as 2/1.
By multiplying the second fraction by the common denominator 3.
By simplifying the second fraction.
![=(\frac{26}{3})](https://tex.z-dn.net/?f=%20%3D%28%5Cfrac%7B26%7D%7B3%7D%29%20)
So, ![QR=\frac{26}{3}](https://tex.z-dn.net/?f=%20QR%3D%5Cfrac%7B26%7D%7B3%7D%20)