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
Alex
3 years ago
11

River C is 100 miles longer than River D. If the sum of their lengths is 5,570 ​miles, what is the length of each​ river?

Mathematics
1 answer:
lyudmila [28]3 years ago
7 0

Let the Length of River D be : P

Given : River C is 100 Miles Longer than River D

⇒ Length of River C = P + 100

Given : The Sum of Both Rivers is 5570 Miles

⇒ P + (P + 100) = 5570

⇒ 2P + 100 = 5570

⇒ 2P = 5570 - 100

⇒ 2P = 5470

⇒ P = 2735

⇒ Length of River D is : 2735 Miles

⇒ Length of River C is : (P + 100) = (2735 + 100) = 2835 Miles

You might be interested in
The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.
seropon [69]

Answer: Option B.

Step-by-step explanation:

Given the polynomial:

16x^2-36x+9

 Observe that 16x^2 and 9 are perfect squares. Then, you can rewrite the polynomial in this form:

(4x)^2-36x+(3)^2

You can identify that:

A=4\\B=3

Then, we can check if 2AB=36

 2(4x)(3)=36x\\\\24x\neq 36x\\\\2AB\neq36x

Since 2AB\neq36x, the polynomial 16x^2-36x+9 <em>IS NOT </em>a perfect square trinomial of the form A^2 - 2AB + B^2

8 0
3 years ago
Read 2 more answers
A spinner with six sections labeled A through F is spun. What is the probability of spinning the letter labled D?
choli [55]

Answer:

1/6

Step-by-step explanation:

I guess we are to assume each is equally likely.  There a 6 possible outcomes and one D so the answer is 1/6

5 0
3 years ago
Read 2 more answers
At Darren's Hats, there are 42 baseball caps and 14 other hats. what percentage of the hats are baseball caps?
emmainna [20.7K]

Answer:

Step-by-step explanation:

calculate the total

42+ 14 = 56

42/56 = x/100

4200 / 56x = 75

the answer is 75%

3 0
2 years ago
In slope-intercept form, what is the equation of the line passing through the points (−4, 26) and (6, −4)?
vredina [299]

Answer:

y=-3x + 14 is your answer

Step-by-step explanation:

3 0
3 years ago
Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu
cluponka [151]

Answer:

<em>Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.</em>

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is  x mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: (x-18) mph

<u>We know that,</u>  Time = \frac{Distance}{Speed}

So, <u>the time of driving in clear weather</u> =\frac{50}{x} hours

and <u>the time of driving in thunderstorm</u> =\frac{16}{x-18} hours.

Given that, <u>the total time for the trip is 1.5 hours</u>. So, the equation will be......

\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0

Using zero-product property.........

x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12

<em>We need to ignore x=12 here, otherwise the speed in thunderstorm will become negative.</em>

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

3 0
3 years ago
Other questions:
  • There are 6 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different
    6·1 answer
  • What is added 5 1/8 + 5/6 + 5/12=
    6·2 answers
  • 6 ponds equals how many ounces
    12·1 answer
  • The function 3(2)t models the number of leaves on a plant, where t represents the number of weeks since it was planted. Which st
    12·1 answer
  • The model below can be used to find the quotient of 1/2 divided by 1/8 . What is the quotient?
    13·1 answer
  • -2 + 12/25 enter the answer as an exact decimal
    6·1 answer
  • 100000 x 3056.74 x (-78.345) x 10000/345.678=X X=?
    13·1 answer
  • X squared over 5 gives you what?
    9·1 answer
  • How do I round off 6.2 into a number ​
    11·2 answers
  • I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!