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
Naily [24]
3 years ago
5

On his drive from Montpelier, Vermont, to Columbia, South Carolina, Arthur averaged 51 mph. If he had been able to average 60 mp

h, he would have reached his destination 3 hr earlier. What is the driving distance between Montpelier and Columbia?
Mathematics
1 answer:
Llana [10]3 years ago
4 0

Answer:

Distance between Montpelier and Columbia is 1020

Step-by-step explanation:

51 mi/hr average:

d = 51 t  

60 mi/hr average:

d t = 60*(t-3)

Substitute (1) into (2)  

   51 t =  60*(t-3)

   51 t =  60 t + 180

   9 t  =  180

   t    =   20

d = 51 t

   = 51 (20)

   = 1020

let see distance is 1020 lets check

51 t = 60 * (t-3)

51 (20)= 60* (20-3)

1020   = 60*17

1020 = 1020

You might be interested in
What's X? to: <br> 15x - 7x = (-52) - 5x
Studentka2010 [4]
-4

Because 15x-7x= 8x
8x+5x= 13x
13x= -52
-52 / 13= -4
x = -4

6 0
3 years ago
Read 2 more answers
Richard receives a 3.5% commission for selling cleaning supplies. What is his commission on sales of $122,591?
konstantin123 [22]

Answer:

We have to find 3.5% $122,591

So,

122591*3.5/100=4,290.685

So, the commission will be $4,290.685

5 0
3 years ago
Read 2 more answers
Triangle MNP is dilated according to the rule DO,1.5 (x,y)Right arrow(1.5x, 1.5y) to create the image triangle M'N'P, which is n
Vikki [24]

Given:

The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).

The rule of dilation is:

(x,y)\to (1.5x,1.5y)

The image of triangle MNP after dilation is M'N'P'.

To find:

The coordinates of the endpoints of segment M'N'.

Solution:

The end points of MN are M(-4, 6) and N(2, 6).

The rule of dilation is:

(x,y)\to (1.5x,1.5y)

Using this rule, we get

M(-4,6)\to M'(1.5(-4),1.5(6))

M(-4,6)\to M'(-6,9)

And,

N(2,6)\to N'(1.5(2),1.5(6))

N(2,6)\to N'(3,9)

The endpoints of M'N' are M'(-6, 9) and N'(3, 9).

Therefore, the correct option is B.

8 0
3 years ago
The following repeating decimal[tex](1.33333...) is a:
lutik1710 [3]
Answer is A.Rational number
7 0
2 years ago
Read 2 more answers
Help me with these 3 and explain too thank you :))
xz_007 [3.2K]

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2  + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y  with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

f(x+6) = 6(x+6)

Since x = 1

f(g(1)) = 6(1+6)

f(g(1)) = 6(7)

f(g(1)) = 42

5 0
3 years ago
Other questions:
  • How can 38 over 6 be expressed as a decimal?
    15·2 answers
  • Values for relation g are given in the table. Which ordered pair would be found in the inverse of g?
    15·2 answers
  • What’s the correct answer
    14·2 answers
  • What Does The Number was 25 in periodic
    6·1 answer
  • An aerospace company has submitted bids on two separate federal government defense contracts. The company president believes tha
    5·1 answer
  • 3n-3+10+2n=10 help plz show work
    14·2 answers
  • Change each fraction to higher terms 1/5=?/10
    12·1 answer
  • Additive inverse of - (-5)
    6·1 answer
  • X - y = 1 <br>Convert the equation from standard form to slope-intercept form.​
    13·2 answers
  • Solve each system by elimination<br> 7x + 8y = -29<br> -3x -8y = 17
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!