1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naya [18.7K]
3 years ago
8

Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles.

Mathematics
1 answer:
vredina [299]3 years ago
7 0

Answer: at 50 mph, she drove for 4 hours.

at 45 mph, she drove for 2 hours.

Step-by-step explanation:

Let t represent the time that she spent driving at 50 miles per hour.

Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.

Distance = speed × time

Distance covered while driving 50 miles per hour is

50t

Distance covered while driving 45 miles per hour is

45(6 - t)

Since the total distance that she drove is 290 miles, it means that

50t + 45(6 - t) = 290

50t + 270 - 45t = 290

50t - 45t = 290 - 270

5t = 20

t = 20/5 = 4

At 45 miles per hour, she drove at

6 - 4 = 2 hours

You might be interested in
Summarize everything you know about exponential functions
Annette [7]

A function with a positive constant other than 1 raised to a variable exponent is known as an exponential function. As a function is evaluated, it is solved at a given input value. Where the growth rate and initial value are known, an exponential formula can be used.

Sorry I dont know much about them but I hope this helps you!!

6 0
3 years ago
“Half of a number (n) is at least 22."<br> translate and solve
viktelen [127]

Answer:

n >_44

Step-by-step explanation:

1/2n>_22

(times 2 on both sides)

n >_44

*** >_ is greater than or equal to sign

8 0
3 years ago
HELP PLEASE
nordsb [41]

Answer:

<h3>perpendicular line:    y = -¹/₆ x + 4¹/₃ </h3><h3>  parallel line:              y = 6x - 45 </h3>

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = 6x - 7   ⇒   m₁=6

6×m₂ = -1        ⇒    m₂ = -¹/₆

 

The line y=-¹/₆ x+b passes through point (8, 3) so the equation:

3 = -¹/₆ ×8 + b must be true

3 = -⁴/₃ + b

b = 4¹/₃

Therefore equation in  slope-intercept form:

                                                     y = -¹/₆ x + 4¹/₃

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 6x - 7   ⇒   m₁=6   ⇒   m₂=6

The line y=6x+b passes through point (8, 3) so the equation:

3 = 6×8 + b must be true

3 = 48 + b

b = -45

Therefore equation in  slope-intercept form:

                                                     y = 6x - 45

7 0
3 years ago
I do not know how to count following formula<br><br>x + 5 = 3
saw5 [17]
The x is going to be a negative number to get the 3. so start off minus 5 from plus 5 and minus five from the other side too. the positive 5 and the negative cancel out and then take it fromt here with three and the negative 5. 
7 0
3 years ago
Read 2 more answers
How many combinations of four books can be made from eight different books?
harina [27]

Answer:

70

Step-by-step explanation:

70 combinations of four books can be made from eight different books.

4 0
3 years ago
Other questions:
  • F (x) = x - 5, what marches f (-1)
    6·1 answer
  • Which of the following is the equation of the line that is perpendicular to
    6·1 answer
  • HELP PLEASE ! HURRY UPPPPPPP​
    7·1 answer
  • One step equations explanation. <br><img src="https://tex.z-dn.net/?f=%20-%207y%20%3D%20%20-%2091" id="TexFormula1" title=" - 7y
    6·2 answers
  • Use the definition of continuity and the properties of limit to show that the function f(x)=x sqrtx/ (x-6)^2 is continuous at x=
    8·1 answer
  • What are the values of a, b, and c in the quadratic equation 0 = = x2 – 3x – 2?<br> a=1 h=30-2
    13·1 answer
  • What is 4X + 7y =14 in y=form
    6·1 answer
  • Which of the following is another name for BC?
    6·1 answer
  • Line e has a slope of 9/8. line f is parallel to line e. what is the slope of line f?
    13·1 answer
  • Please help I might fail!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!