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xeze [42]
4 years ago
10

Please help. Solve for x.

Mathematics
1 answer:
Anton [14]4 years ago
4 0
This is one of circle rules for secants.  In particular, our formula will be 5(x+5)=6(6+4) which simplifies to 5x + 25 = 60.  5x = 35 and x = 7
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Tyler and Pearl went on a 20km bike ride that lasted for 3 hours. Because of steep hills or the trail, they walked for most of t
noname [10]

Answer: 1 hour


Step-by-step explanation:

Let the distance they walked be d_1 in time t_1 and the distance they walked be d_2 in time t_2 ,then

Walking speed=\frac{d_1}{t_1}=4

\\\Rightarrow\ d_1=4t_1

Riding speed=\frac{d_2}{t_2}=12

\\\Rightarrow\ d_2=12t_1

Also the total time taken=3 hours

∴t_1+t_2=3\\\Rightarrow\ t_2=3-t_1...(1)

Since the total distance= 20 km

∴d_1+d_2=20\\\Rightarrow4t_1+12t_2=20\\\Rightarrow4t_1+12(3-t_1)=20..............[\text{from (1)}]\\\Rightarrow4t_1+36-12t_1=20\\\Rightarrow-8t_1=-8\\\Rightarrow\ t_1=1

Thus, the they spent 1 hour time in walking.

7 0
3 years ago
What is the experimental probability for the lowest frequency?<br> 3/18<br> 4/18<br> 18/4<br> 18/3
elena55 [62]

Answer:

18/3

Step-by-step explanation:

Took the test

5 0
3 years ago
After sailing 12 mi, a sailor changed direction and increased the boat's speed by 4 mph. an additional 18 mi was sailed at the i
inessss [21]
Let the speed for the first 12 mi be x mi/h, the speed for 18 mi was (x+4) mi/h
thus given that
time=distance/speed 
the average time will be:
3=(12+18)/(x+x+4)
3=30/(2x+4)
solving for x we get
3(2x+4)=30
6x+6=30
6x=24
x=4 mi/hr
Answer: 12 mi/hr
8 0
3 years ago
Your teacher is choosing 2 students to run an errand for her. There are 12 girls and 10 boys in the class. What is the probabili
Ne4ueva [31]

Answer:

2/7

Step-by-step explanation:

There are 22 (12 + 10) total students in the class. That means that the chance of the first student picked being a girl is 12/22.

Now, we must calculate the chance of the next student to be picked <em>also </em>being a girl - however, there is a trap here! Remember that since a girl has been picked, the total student pool has decreased to 21 and and the total number of girls has decreased to 11. This means the new chance of girl being picked is 11/21.

To find the probability of both these events happening in conjunction, these fractions must be multiplied. 12/22 * 11/21 = 132/462, which simplifies to 2/7.

4 0
3 years ago
Read 2 more answers
What is the slope of the line with equation y=-x
zmey [24]
The slope intercept form is  y=mx+b
in this case                         y=-x
                                           y=(-1)x + 0
 so the slope m=-1 and y-intercept which is b is 0 
6 0
3 years ago
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