Answer:
83.3333 meters per second
Step-by-step explanation:
3n+1= 13 when n=4
29 when n=7
43 when n=13
25 when n= 8
37 when n= 12
<span>We use ratio and proportion to solve each of these:
</span><span>
</span><span>1.
The scale of a map is 1 in = 19.5 mi map: ________ in actual: 9.5 mi
</span><span>1 in / 19.5 mi = x in / 9.5 mi, x = 0.487 in
</span><span>
</span><span>2.
The scale of a map is 7 in = 16 mi map: 4.9 in actual: ______ mi
</span><span>7 in / 16 mi = 4.9 in / x mi, x = 11.2 mi
</span><span>
</span><span>3. The
scale factor for a model is 5 cm = ________ m Model : 72.5 cm actual:
165.3 m
</span><span>5 cm / x m = 72.5 cm / 165.3 m, x = 11.4 m
</span><span>
</span><span>4. The scale of a map is 1 in = 9.6 mi map: ________ in actual:
34.7 mi
</span><span>1 in / 9.6 mi = x in / 34.7 mi, x = 3.62 in
</span><span>
</span><span>5. The scale of a map is 1 ft = 9.6 mi map: ________ ft actual:
38.4 mi
</span><span>1 ft / 9.6 mi = x ft / 38.4 mi, x = 4 ft
</span><span>
</span><span>6. The scale factor for a model is 5 cm = ________ m Model :
22.4 cm actual: 155.2 m
</span><span>5 cm / x m = 22.4 cm / 155.2 m, x = 34.64 m
</span><span>
</span><span>7. The scale of a map is 5 in = 10 mi map: 8.7
in actual: ______ mi
</span><span>5 in / 10 mi = 8.7 in / x mi, x = 17.4 mi
</span><span>
</span><span>8. The scale of a map is 1 in = 13.5 mi map:
________ in actual: 65.9 mi
</span><span>1 in / 13.5 mi = x in / 65.9 mi, x = 4.88 in
</span><span>
</span><span>9. The scale factor for a model is 5 cm =
________ m Model : 61.5 cm actual: 143.2 m
</span><span>5 cm / x m = 61.5 / 143.2 m, x = 11.64 m
</span><span>
</span><span>10. The scale factor for a
model is 5 cm = ________ m Model : 29.7 cm actual: 179.5 m
</span><span>5 cm / x m = 29.7 cm / 179.5 m, x = 30.22 m
</span>
Answer:
![ABD = CBD = 44](https://tex.z-dn.net/?f=ABD%20%3D%20CBD%20%3D%2044)
![ABC =88](https://tex.z-dn.net/?f=ABC%20%3D88)
Step-by-step explanation:
The question is not properly formatted;
![ABD = 6x + 14](https://tex.z-dn.net/?f=ABD%20%3D%206x%20%2B%2014)
![CBD = 3x + 29](https://tex.z-dn.net/?f=CBD%20%3D%203x%20%2B%2029)
Required
Determine ABC
Since BD is the bisector, then
![ABD = CBD](https://tex.z-dn.net/?f=ABD%20%3D%20CBD)
![6x + 14 = 3x + 29](https://tex.z-dn.net/?f=6x%20%2B%2014%20%3D%203x%20%2B%2029)
Collect Like Terms
![6x - 3x = 29 -14](https://tex.z-dn.net/?f=6x%20-%203x%20%3D%2029%20-14)
![3x = 15](https://tex.z-dn.net/?f=3x%20%3D%2015)
![x =5](https://tex.z-dn.net/?f=x%20%3D5)
![ABD = 6x + 14](https://tex.z-dn.net/?f=ABD%20%3D%206x%20%2B%2014)
![ABD = 6 * 5 +14](https://tex.z-dn.net/?f=ABD%20%3D%206%20%2A%205%20%2B14)
![ABD = 30 +14](https://tex.z-dn.net/?f=ABD%20%3D%2030%20%2B14)
![ABD =44](https://tex.z-dn.net/?f=ABD%20%3D44)
![ABD = CBD = 44](https://tex.z-dn.net/?f=ABD%20%3D%20CBD%20%3D%2044)
![CBD = 44](https://tex.z-dn.net/?f=CBD%20%3D%2044)
ABC is calculated as
![ABC = CBD + ABD](https://tex.z-dn.net/?f=ABC%20%3D%20CBD%20%2B%20ABD)
![ABC = 44 + 44](https://tex.z-dn.net/?f=ABC%20%3D%2044%20%2B%2044)
![ABC =88](https://tex.z-dn.net/?f=ABC%20%3D88)
Answer:Maria rate = 1/13 job/hr
-----
Felipe rate = 1/16 job/hr
----
Together rate = 1/x job/h
Step-by-step explanation: rate + rate = Together rate
1/13 + 1/16 = 1/x
----
16x + 13x = 13*16
------
29x = 13*16
x = 7.17 hrs = 7 hr 10 min 12 seconds (time to do the job together)
-------------
Cheers,
Rubberduck100000.