There would approximately be 36 ordered triples
Let the speed of walking of James = x mile/hour
speed of jogging = 2x mile/hour
9/2x + 1.5/x = 2
or, (9 + 3)/2x = 2
or, 12 = 4x
or, x = 3
Average speed of walking = 3 mile/hour
Average speed of jogging = 2 * 3 = 6 mile/hour
Answer:
t ≤ 15
Step-by-step explanation:
One third of 15 is equal to five (1/3 × 15 = 5)
One third of t is lesser than or equal to five (1/3 × 5 ≤ 5)
<em>So, t cannot be more than 15.</em><em> </em><em>It</em><em> </em><em>can</em><em> </em><em>be</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>1</em><em>5</em><em>,</em><em> </em><em>though</em><em>.</em>
∴t ≤ 15
Answer:
![^6C_2=15](https://tex.z-dn.net/?f=%5E6C_2%3D15)
Step-by-step explanation:
Recall the formula:
![^nC_r=\frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D)
We apply this formula to simplify ![^6C_2](https://tex.z-dn.net/?f=%5E6C_2)
This implies that:
![^6C_2=\frac{6!}{(6-2)!2!}](https://tex.z-dn.net/?f=%5E6C_2%3D%5Cfrac%7B6%21%7D%7B%286-2%29%212%21%7D)
![^6C_2=\frac{6!}{4!2!}](https://tex.z-dn.net/?f=%5E6C_2%3D%5Cfrac%7B6%21%7D%7B4%212%21%7D)
![^6C_2=\frac{6\times5\times4!}{4!\times 2\times1}](https://tex.z-dn.net/?f=%5E6C_2%3D%5Cfrac%7B6%5Ctimes5%5Ctimes4%21%7D%7B4%21%5Ctimes%202%5Ctimes1%7D)
This simplifies to
![^6C_2=\frac{6\times5}{2\times1}](https://tex.z-dn.net/?f=%5E6C_2%3D%5Cfrac%7B6%5Ctimes5%7D%7B2%5Ctimes1%7D)
![^6C_2=\frac{3\times5}{1\times1}=15](https://tex.z-dn.net/?f=%5E6C_2%3D%5Cfrac%7B3%5Ctimes5%7D%7B1%5Ctimes1%7D%3D15)
Answer:
5 lb 11⅓ oz
Step-by-step explanation:
First, convert the weight at birth from pound and ounces to just ounces.
8 lb × 16 oz/lb + 9 oz = 137 oz
The baby doubles its weight in the first six months. That means its weight increases by 137 oz over 6 months. To find how much weight was gained in 4 months, write a proportion.
137 / 6 = x / 4
6x = 548
x = 91 ⅓
The baby gained 91 ⅓ oz in 4 months, or 5 lb 11⅓ oz.