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
lisov135 [29]
3 years ago
8

A bicyclist covered 5/7 of his route and an additional 40 miles. He has yet to cover 118 miles less than 0.75 of his route. How

long is his route in miles?
Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Answer:

6 miles

Step-by-step explanation:

Let the route length be r.  The distance the cyclist has already covered is then (5/7)r + 40.  This plus 0.75r - 118 must = r, the length of the entire route.

Then:

(5/7)r + 40 + (3/4)r - 118 = r

The LCD of the fractions 5/7 and 3/4 is 28.  We thus have:

(20/28)r + 40 + (21/28)r - 118 = r, or

(41/28)r - 78 = (28/28)r

Combining the r terms, we get 13r = 78, and so r = 78/13 = 6.

The cyclist's bike route is 6 miles long.

You might be interested in
Rewrite 1/10,000 to the power of ten
g100num [7]

Answer:

10^4

Step-by-step explanation:

3 0
2 years ago
Can please someone help me out and explain it step by step. Thank you
Anit [1.1K]

Answer:x=7, \ y=-2

Step-by-step explanation:

Given

Equations are 3x-y=23 and 2x+3y=8

take 3x-y=23

y=3x-23

Put the value of y in another equation

\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7

Put the value of x in y

y=3(7)-23=21-23=-2

Hence, x=7, \ y=-2

7 0
2 years ago
Four triangle are shown above based on these triangles which statement is true?
liubo4ka [24]

Answer:

B

Step-by-step explanation:

Because the number of degrees in a triangle is 180 degrees so x = 180 - (45 + 60) = 75. Now w + 75 = 180 , therfore w = 105 degrees.


4 0
3 years ago
I will make u a brainliest plz help me
satela [25.4K]

Answer: B) Infinitely many solutions; both equations are equivalent

==============================================================

Work Shown:

x+y = 4 ... start with the first equation

x + (-x+4) = 4 ... replace y with (-x+4)

x-x+4 = 4

0x+4 = 4

0+4 = 4

4 = 4 ... this is a true statement regardless of what x you pick

So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.

Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.

6 0
3 years ago
Read 2 more answers
4x = -20 Solve for x
malfutka [58]

Answer:

x = -5

Step-by-step explanation:

x = -20/4 = -5

4 0
2 years ago
Read 2 more answers
Other questions:
  • What inequality is true when x=3
    9·2 answers
  • a store is offering a 20% discount off one item. you also have a coupon for 5$ off one item. Which composite function repressent
    14·1 answer
  • Please help i’m so confused asap!!!!!
    9·1 answer
  • The perimeter of a triangle is 84 meters. The longest side of the triangle is 7 meters less than twice the length of the shortes
    13·1 answer
  • Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by ten . (2 points) twenty-o
    9·1 answer
  • (6Q) Find the domain and range.
    6·1 answer
  • Find the length of the side.
    7·1 answer
  • Jane made $4,700 in the month of February plus she received 4% commission on the sales of $150,000 for that month. What was her
    8·1 answer
  • If £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after 2 years?
    14·2 answers
  • Pls help in a middle of an exam
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!