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olchik [2.2K]
3 years ago
5

Phil is riding his bike. he rides 50 miles in 4 hours, 62.5 miles in 5 hours, and 75 miles in 6 hours. find the constant of prop

ortionality and write an equation to describe the situation. let x represent the number of hours.
Mathematics
2 answers:
Tems11 [23]3 years ago
4 0
12.5(x)
x = hours
12.5 = per hour
Elanso [62]3 years ago
3 0
50:4=12.5 per hour.
How we can be sure for 5 hours.
5×12.5=62.5 the anwser is correct.
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Help 15 points!!!!!!!!!!!!!!!!!!!!!
Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = \frac{opposite}{adjacent} = \frac{BC}{AC} = \frac{7}{8} , then

∠ A = tan^{-1} (\frac{7}{8} ) ≈ 41° ( to the nearest degree )

The sum of the angles in the triangle = 180° , then

∠ B + 41° + 90° = 180°

∠ B + 131° = 180° ( subtract 131° from both sides )

∠ B = 49°

Using Pythagoras' identity in the right triangle

AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )

AB = \sqrt{113} ≈ 10.6 ( to the nearest tenth )

3 0
2 years ago
a) The quadratic 3x^2-12x-11 can be written in the form 3(x+a)^2+b. Find the values of a and b. b) Given that the solutions of t
LenKa [72]

Answer:

Step-by-step explanation:

a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23

so  a= -2 ,b= -23

b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=

2+V69/9=2+V23/3

c=2, d= 23/3

5 0
3 years ago
Pls answer this for me​
nekit [7.7K]

Answer:

a 166 67/100

b 20 1/4

c 829 77/100

d 664 47/50

e 208 4/25

Step-by-step explanation:

you need to find the common denominator (the number on the bottom) so for the first one when can 10 = 100 if you multiply 10 x 10 you get 100 so multiply the entire fraction by 10 and you will get 10/100 so the equation would be 381 10/100 - 214 43/100 which equals 166 67/100 then just do the same thing for the rest of them

8 0
3 years ago
A large community college has professors and lecturers the total number of faculty members is 136.The school reported that they
Alona [7]

Answer:

  48

Step-by-step explanation:

The ratio of professors to lecturers is ...

  P : L = 6 : 11

Then the ratio of professors to total faculty is ...

  P : (P+L) = 6 : (6+11) = 6 : 17

That is, professors make up 6/17 of the total faculty. Their number is ...

  P = (6/17)·136 = 48

The Community College employs 48 professors.

4 0
3 years ago
Solve the problem by multiplying first. A clothing store is having a sale on shirts and jeans. Four shirts and two pairs of jean
ella [17]

We will solve this by suing simultaneous equations,

⇒ 5s + 3j = 87

    4s + 2j = 64

Multiply the first equation with 4 and the second one with 5, this is to get one of the values equal so that we can cancel them out,

⇒ (5s + 3j = 87) × 4

    (4s + 2j = 64) × 5

∴ ⇒ 20s + 12j = 348

       20s + 10j = 320

Subtract both the equations. This is how your result (after subtraction) should look like,

  ⇒ 2j = 28

∴ ⇒ j = $14

Now replace the value of 'j' in one of the original equations,

⇒ 4s + 2(14) = 64

⇒ 4s + 28 = 64

⇒ 4s = 64 - 28

⇒ 4s = 36

∴ ⇒ s = $9

Therefore, one pair of jeans cost $14 and a shirt costs $9

Hope you understood! Feel free to ask me if you didn't understand a step.

5 0
3 years ago
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