River C is 400 miles longer than River D. If the sum of their lengths is 5560 ​miles, what is the length of each​ river?

Answers

Answer 1

Answer:

River D - 2580 miles

River C - 2980 miles

Step-by-step explanation:

Let the length of River D be represented with x

length of river C = 400 + x

total length of both rivers = 5560

x + 400 + x = 5560

2x + 400 = 5560

collect like terms

2x = 5560 - 400

2x = 5160

divide both sides of the equation by 2

x = 5160 / 2

x = 2580

length of river c = 400 + 2580 = 2980


Related Questions

π (pi) is an unending decimal. Find the Circumference of the circle below using exact π (pi).

Answers

Step-by-step explanation:

Given radius, r = 5,

Circumference of Circle, C

[tex] = 2\pi \: r \\ = 2\pi(5) \\ = 10\pi \: units[/tex]

Answer:

[tex]10\pi[/tex]

Step-by-step explanation:

As the hint below says:

[tex]C = 2\pi r[/tex]

We also know that

r = 5

So thus:

[tex]C = 2 \pi \cdot 5 = 10\pi[/tex]

Which graph represents an equation in the form =?

Please help me!!

Answers

That's a question about graphs.

In the Cartesian coordinate system, we have two axes: The x-axis (horizontal) and the y-axis (vertical).

When we want to represent a equation in the cartesian coodinate system, we associate a point in the x-axis and other in the y-axis. The Cartesian coordinate is represented by (x, y).

To represent some equation in a graph, we need at least two points to draw a line that cross these 2 points.

For example: To represent the equation [tex]y = x +1[/tex], let's replace the value of x:

When x = 0 → [tex]y = 0 + 1 = 1[/tex]. Therefore, the coordenate is (0, 1).When x = 1 → [tex]y = 1 + 1 = 2[/tex]. Therefore, the coordenate is (1, 2).

Finally, if we draw a line tha cross these 2 points, we will have the graph that represents [tex]y = x +1[/tex].

Now you know about it, let's solve our problem?

In that question, we should to find the graph that represents the equation [tex]y = kx[/tex], but we don't know the value of k, so what should we do? It's easy:

k is a constant. That means that the value of k never changes. Now, let's analyze a specific case:

If x = 0, so y = 0 as well. But why? We know that any number multiplied by 0 is equal 0. Therefore:

When If x = 0 → [tex]y = 0 \times k = 0[/tex]. So, this graph cross the coordinate (0,0).

With the informations that the problem give to us, these are the unique things that we can find, but that's enough.

When we look at the options, just the second graph have a line that cross the coordenate (0, 0). Therefore, the correct answer is the graph below:

I hope I've helped. :D

Enjoy your studies! \o/

A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.What rule do you think the state park uses to decide the entrance fee for a vehicle?

Answers

Answer:

I think they charge a flat rate of $8 for a vehicle and $3 per person on top of that.

Step-by-step explanation:

There could be a multitude of rules, but let's try to find a simple one.

I would start by assuming that the park charges a fee for a vehicle and then for each person. Let's name those:

a - flat fee for a vehicle

b - fee per person

then a car with x people in it would be charged

a + bx

Let's see if the fees fit this assumption:

for x = 2

a + b*2 = $14

for x = 4

a + b*4 = $20

for x = 8

a + b*8 = $32

If so, we can subtract the second equation from the first and get

a + b*4 - a - b*2 = $20 - $14

b*2 = $6

b = 3$

a + b*2 = $14

a + $3*2 = a + $6 = $14

a = $8

so the first 2 equations gave us a = $8 and b = $3.

Let's see if these values fit the 3rd equation

a + b*8 = $32

$8 + $3*8 = $32

$8 + $24 = $32

$32 = $32

It fits!

That tells us that the rule is indeed very likely.

PLEASE HELP ME ITS AN EMERGENCY!

Answers

Answer:

Number 1 is correct

4.5 x 12 = 54

Number 3 is wrong,

Formula of a triangle:

BH x 1/2(basically dividing by 2)

8 x 15 = 120,

120 DIVIDED BY 2 = 60 is your area, not 120.

Your plug in would be for the triangle:

8 x 15 x 1/2

Number 5 is wrong.

11 + 4 = 15

15 x 6 (you forgot to multiply by the height!) = 90

90 divided by 2 ( x 1/2) = 45 is your area, NOT 90.

Your formula for a trapezoid is:

(b1 + b2) x h x 1/2 Don't forget your height next time!

Plug in: (4 + 11) x 6 x 1/2

Write 6.5.x 10-4
as an ordinary number​

Answers

Step-by-step explanation:

0.00065

Hope it helps....

Write the ratio of 8 apples to 4 oranges in 3 different ways.
Then, write the ratio in the simplest form.

Answers

8 : 4
16 : 8
4 : 2

Simplest:
2 : 1

Answer:

Step-by-step explanation:

The three ways to write a ratio is:

8/4

8 to 4

8:4

The ratio in simpliest form is 2/1

You would divide each "side" by 4

A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions that are needed to determine if these lines intersect.

WILL MARK BRAINLIEST

Answers

Answer:

what is this a different answer orrrr?

Write an equation for two angles A and B that are supplementary.

A. a + b = 180

B. a + b = 100

C. 2ab = 180

D. a + b = 90​

Answers

Answer:

A. a + b = 180 is the correct option.

Marissa has twice as much money as Frank. Christina has $20 more than Marissa. If Christina has $100, how much money does Frank have?

Answers

Answer:

He has 40$

Step-by-step explanation:

Cuz 100-20=80 then if she has twice as more as him then you divide 80 by 2 then get 40

Which term of the AP 21, 18, 15, ... is 0?​

Answers

Answer:

Solution : Let Tn=0. Then,21+(n-1)×(-3)=0⇒n=8. So, 8th term is zero.

Step-by-step explanation:

Please help me in it! It's very difficult, i'm in 6th and I still don't understand this. Please, help me in this!!!

Answers

Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

the lines on the very end are your subtrct the the lowest one from the highest one

Write the equation of the circle ?
Center (-1,0)
Radius:4

Answers

Answer:

(x+1)^2 + y ^2 = 16

Step-by-step explanation:

center: (-1,0)

radius=4

(x-h)^2 + (y-k)^2 = r^2

(h,k) = center

plug in the center

(x+1)^2 + (y+0) ^2 = r^2

r^2 = (4)^2

r^2=16

(x+1)^2 + y^2 = 16

What is the area of the triangle in square yards?

Answers

Answer:

DON'T LOOK AT THE PICTURE!!

Step-by-step explanation:

PLS PLE HELP IM BETYINY AND DONT GIVE ME THOSE LINKS THAT GIVE U A VIRUS

A small town is trying to establish a transportation system of large and small vans.
It can spend no more than $100,000 for purchasing both sizes of vehicles and no
more than $500 per month for maintenance. The town can purchase a small van for
$10,000 and maintain it for $100 per month. The large vans cost $20,000 each and
can be maintained for $75 per month. Each large van carries a maximum of 15
passengers
and each small van carries a maximum of 7 passengers. Find the
maximum number of passengers the transportation system can handle given the
constraints. How many large and small vans will they need to maximize the
number of passengers it can service?

Answers

i found this i hope it can help

Is rolling a 5 on a traditional number cube

1. Impossible
2. Unlikely
3. Likely
4. Certain

Answers

Answer:

3. Likely

Step-by-step explanation:

Yea 3 because it can be the other answers

Can someone help me you’re correct me it only let me type one number plz

Answers

Answer:

9

Step-by-step explanation:

Hello There!

The circumference is equal to the diameter times π

The diameter given is 9m

NOTE: it says "leave answer in terms of π" meaning that we do not apply π to the diameter

So the answer would be just 9π

Answer:

9

Step by step:

C= 2 x pi x r

c = 2 x pi x 4.5

c=  9 x pi

Fill in the blanks to complete the area model to solve 6.60 divided by 15 is the same as _ x ? = _ 6.60 = _ hundredths

Answers

Answer:

[tex]15 x = 6.60[/tex]

[tex]x = 44\ hundredths[/tex]

Step-by-step explanation:

Given

[tex]\frac{6.60}{15}[/tex]

Required

Complete the model

[ ] x = 6.60

x = _ hundredths

[tex]\frac{6.60}{15}[/tex]

Equate to x

[tex]x = \frac{6.60}{15}[/tex]

Multiply both sides by 15

[tex]15 * x = \frac{6.60}{15} * 15[/tex]

[tex]15 * x = 6.60[/tex]

[tex]15 x = 6.60[/tex]

So, we have:

[ ] x = 6.60 =====> [tex]15 x = 6.60[/tex]

Recall that:

[tex]x = \frac{6.60}{15}[/tex]

[tex]x = 0.44[/tex]

This implies that:

[tex]x = 44\ hundredths[/tex]

Hence:

x = _ hundredths =====> [tex]x = 44\ hundredths[/tex]

The cartesian product of two sets P and Q can be written as

Answers

Answer:

P x Q

Step-by-step explanation:

The Cartesian product of two sets P and Q can be written as,

P × Q.

What is set?

Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

Given:

P and Q are the two sets.

The Cartesian product of two sets P and Q can be written as,

P × Q.

For example,

if A = {1, 2} and B = {3, 4},

then the Cartesian Product of A and B is {(1, 3), (1, 4), (2, 3), (2,4)}.

Therefore, P × Q is the required expression.

To learn more about the set;

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A mint milk shake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milk shake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream. Which milk shake is thicker?

Answers

Answer:

1.25/4 = 5/16

1.75/5 = 7/20

Determine which one of these fractions is bigger.

Both milkshakes have the same thickness.

Given that,
A mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream. Which milkshake is thicker is to be determined.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
According to the question,
A mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream.
Ratio of the milk = 1.25 / 4 = 0.35
A strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream.
Ratio of the milke = 1.75 / 5 = 0.35
comparing the ratio both are equal,

Thus, Both milkshakes have the same thickness.

Learn more about ratios here:

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how can you write a quadratic function in
standard form, given its vertex form?

Answers

Answer + Explanation:

y = a(x - h)^2 + k

y = 2(x + 4)^2 - 2

y = 2(x^2 + 8x + 16) - 2

y = 2x^2 + 16x + 32 - 2

y = 2x^2 + 16x + 30

Hopefully this helps!

PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

The value of ∠FGJ = x⁰ is 45⁰.

What is Linear pair angle?

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

Here, we know that sum of angles on linear pair is 180⁰.

        ∠FGJ = x⁰ and ∠JGH = 135⁰

∠FGJ + ∠JGH = 180⁰

    x⁰ + 135⁰ = 180⁰

    x⁰ = 180⁰ - 135⁰

    x⁰ = 45⁰

Thus, the value of ∠FGJ = x⁰ is 45⁰.

Learn more about Linear pair of Angle from:

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A certain airplane offers two types of seats, first class and economy.
There are 209 total seats on the airplane. If the difference between the
number of economy and first class seats is 153, find the number of
economy seats.

Answers

Answer:

56

Step-by-step explanation:

you do 209-153=56

Number of economy seats are 181

What is linear equation?

An equation between two variables that gives a straight line when plotted on a graph

Consider,

Number of economy seats =x

Number of First class seats =y

There are 209  total seats on the airplane

Then,

x + y=209

Difference between the number of economy and first class seats is 153

x - y=153

Solve both the equation

x + y=209

x = 209-y

Substitute the value of x in second equation

(209-y) - y=153

2y=209-153=56

y=28

Then

x + y=209

x + 28=209

x=209-28

x=181

Hence, the number of economy seats are 181

Learn more about linear equation here

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Please say the answer as fast as possible. Your quick response would be highly appreciated. ( also please show the working , you could either type it or send a picture )

Answers

Answer:

Step-by-step explanation:

To rent a certain meeting room, a college charges a reservation fee of $18 and an additional fee $5 of per hour. The chemistry club wants to spend at most %58 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t.

Answers

Answer:

You need the minimum cost for renting the meeting room given the following info

Reservation Fee = $18

Hourly Rate = $5

The renter wants to keep the cost below $58

So the cost will vary with the time, t you use the inequality below

5t + 18 ≤ 58

You can solve this to get that minimum

You can check you answer by graphing it.

I hope this helps!<3

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Answers

Answer:

One solution

I actually do not think you're going to give me brainliest

I think it’s one solution but I’m not sure.

PLEASE HELP for a TEST EXPLAIN ANSWER pls give you brainlest!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

a-4

Step-by-step explination:

hope this helps!

What is the volume 9inches 3inches 5inches

Answers

Answer:

135 can i have brain list

Step-by-step explanation:

9X3X5

Express as a trinomial.
(x – 3)(3x – 8)
Please do this ASAP i need HELP

Answers

Answer:

3x^2 - 17x + 24

Step-by-step explanation:

(x – 3)(3x – 8)

3x^2 + (-8x) + (-9x) + 24

3x^2 - 17x + 24

Pls help and thank youuuuu:)

Answers

Answer:

22

Step-by-step explanation:

according to your question

Which of the following decimals would be found between 5 and 5
on a number line?
А
5.50
5.40
-16/3 -21/4
B
С
5.30
D
5.20

Answers

None of them. Any number 5-5 can only be 5.
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