All categories

4 years ago

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]4 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

What is the length of PR?

Rashid [163]

the larger triangle has angles of 75° and 55°.

the smaller triangle has angles of 75° and 55°.

the triangles are similar by AA.

$\bf \cfrac{smaller}{larger}\qquad \qquad \cfrac{PR}{AC}=\cfrac{PQ}{AB}\implies \cfrac{x}{24}=\cfrac{5}{20}\implies \cfrac{x}{24}=\cfrac{1}{4} \\\\\\ x=\cfrac{24}{4}\implies x=6$

6 0

3 years ago

Read 2 more answers

Wite the equation of the linear relationship in slope-intercept form. Help me please:))

Digiron [165]

Answer:

jksahfoahsofahsdubouahdkj

Step-by-step explanation:

3 0

3 years ago

218 rounded to nearest 10

tangare [24]

The answer is 220 because you would just have to round 1 to 2 than everytging behind it is a zero

4 0

3 years ago

Read 2 more answers

What is the equation of the quadratic function that has vertex (-3, 1) and passes through the point (-2, 4)?

Marat540 [252]

Vertex form: $y=a(x-h)^2+k$ , with (h,k) as the vertex.

For this, we will be using vertex form. Firstly, plug the vertex into the vertex form equation:

$y=a(x-(-3))^2+1\\y=a(x+3)^2+1$

Next, we need to solve for a. Plug in (-2,4) into the x and y coordinates to solve for a as such:

$4=a(-2+3)^2+1\\4=a(1)^2+1\\4=a+1\\3=a$

Putting our equation together, it's $y=3(x+3)^2+1$ 

*Additional section*

Standard form: $y=ax^2+bx+c$

Converting to standard form as such:

$y=3(x+3)^2+1\\y=3(x^2+6x+9)+1\\y=3x^2+18x+27+1\\y=3x^2+18x+28$

8 0

3 years ago

Andi needs 5 1_2yards of fabric for a project. She has a piece that is 3 1_4yards at school and a piece that is 1 1_2yards at ho

valentinak56 [21]

Answer:

The amount of fabric she needs is 3/4 yards

Step-by-step explanation:

To calculate the amount of fabric needed, we need to subtract the sum of what she has at school and at home from what she needs.

What she has can be calculated by adding 3 1/4 + 1 1/2

This would be easier in terms of decimals.

3 1/4 = 3.25 (1/4 = 0.25)

while 1 1/2 = 1.5(1/2 = 0.5)

Adding both, we have 3.25 + 1.5 = 4.75 yards

What is needed is 5 1/2 yards = 5.5 yards

What is needed more is thus 5.5 yards - 4.75 yards = 0.75 yards

Mathematically 0.75 in decimals = 3/4 in fraction form

3 0

3 years ago

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?

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?