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blagie [28]
3 years ago
11

Please help me! ASAP! WILL GIVE BRAINLIEST!!!

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0
1. Given
2. Same Side Interior Angles Theorem
3. Corresponding Angles Postulate
4. Substitution
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Two children own two-way radios that have a maximum range of 3 miles. One leaves a certain point at 1:00 P.M., walking due north
Grace [21]

Answer:

The answer is 21 minutes

Step-by-step explanation:

We use the equation Xf = Xo + vt

1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])

2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]

  • x_{1f1} =x_{o} +v_{1} t_{1} \\x_{1f1} =0+.1(15)\\x_{1f1} =1.5 [mi]

3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]

  • Child 1 final position => x_{1f} = x_{1f1} +v_{1} t\\x_{1f} =1.5+v_{1} t
  • Child 2 final position => x_{2f} =0+v_{2} t

4) Sum the equations and equate to 3

  • x_{1f} +x_{2f} =3

5) Substitute the values we already know

  • 1.5+v_{1} t+v_{2}t=3\\ 1.5+.1t+.15t=3\\1.5+.25t=3\\t=\frac{3-1.5}{.25} \\t=6 [min]

6) in 15 + 6 minutes they will be 3miles apart

7) In 21 minutes they will still be able to communicate with one another.

7 0
3 years ago
What is 5/8 times 4? Then simplify your answer.
scZoUnD [109]

The answer is 2 1/2. Because you need to cross cancel then you take the "freeway", and you get 5/2 and simplified is 2 1/2.And since half equals .5 it would be 2.5 just in case you also needed decimal.

Hope I Helped!!!!!!!!!!

=)=)=)=)=)=)

P.S. If you need help you could message me or go to my profile to ask me!!!

=)=)=)

4 0
3 years ago
Read 2 more answers
Solve for x: 3-x = 3(6x-9). Describe the process used to solve the equation and show each step.
FromTheMoon [43]

Answer:

x=1.578

Step-by-step explanation:

Given equation is 3-x = 3(6x-9)

We need to find the value of x

3-x = 3(6x-9)

Distribute 3 in the right-hand side  

3-x=18x-27

Add both sides x

3-x+x=18x+x-27\\3=19x-27

Now, add both sides 27

3+27=19x-27+27\\30=19x

Divide both sides by 19

\frac{30}{19}=\frac{19x}{19}\\x=1.578

So, x=1.578

5 0
3 years ago
at an amusement park a person spends $30 on admission and food and then goes on r number of rides that cost $2 each
stepladder [879]
The question is find the equation, in the function and standard notations, that represent the amount spent in the range of 0 to 5 rides.

Constant cost: $30
Independent variable, number of rides: r
Variable cost: $2r

Total spend, s(r): 30 + 2r

Function: s(r) = 30 + 2r, for 0 ≤r ≤ 5  ----- this is the function notation

Standard form: s(r) is the dependent variable = s

s = 30 + 2r => s - 2r = 30 =>

s + (-2)r = 30, for 0 ≤ r ≤ 5 ------ this is the standard form

5 0
3 years ago
90 students are participating in a contest. There are twice as many girls as boys in this group. Max ranks fourteenth from the t
Nadya [2.5K]

Answer: 57 boys

Step-by-step explanation: Lets break it down right

14th from the top with 10 girls in front which means 3 boys are in front and since there are twice as many girls as boys there are 60 girls and 30 boys so 3 boys are ahead which leaves 57 boys below him

4 0
3 years ago
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