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BigorU [14]
3 years ago
6

Ricardo and Kim rowed their canoes from their base camp to a fishing camp. They rowed a distance of x miles upstream on one rive

r, (3x2 − 9) miles downstream on another river, and (2x + 9) miles across a calm lake. Which expression is equivalent to the total distance, in miles, Ricardo and Kim rowed their canoes?
I dont understand how to solve this.
Mathematics
2 answers:
Ne4ueva [31]3 years ago
8 0
(3x2-9) + (2x+9) =X

This is how you put the equation together

harina [27]3 years ago
8 0

Answer:

The required expression is 3x²+ 3x.

Step-by-step explanation:

It is given that Ricardo and Kim rowed their canoes from their base camp to a fishing camp.

They rowed a distance of x miles upstream on one river, (3x²-9) miles downstream on another river, and (2x + 9) miles across a calm lake.

Distance covered in upstream = x miles

Distance covered in downstream = (3x²-9) miles

Distance covered in calm lake = (2x+9) miles

Total distance covered by Ricardo and Kim is

D=x+(3x^2-9)+(2x+9)

On combining like terms we get

D=3x^2+(x+2x)+(-9+9)

D=3x^2+3x+0

D=3x^2+3x

Therefore the required expression is 3x²+ 3x.

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Supposed Blue spruce was included in the list and the mean decreased to 165 what is the height of the Blue spruce?
postnew [5]
The height of the blue spruce was 45.

We find the mean by adding all of the data points and dividing by the number of data points.  We will add the unknown value x and change the number we're dividing by to 7:

(160+320+100+110+200+220+x)/7 = 165
(1110+x)/7 = 165

Multiply both sides by 7:
1110 + x = 1155

Subtract 1110 from both sides:
x = 45
7 0
3 years ago
Read 2 more answers
Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt.
Oliga [24]

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

6 0
3 years ago
Hope someone can help me with this
AVprozaik [17]

Area of a Circle = PI * radius^2

= 3.14 * 1.8^2

= 3.14 * 3.24

= 10.17 meters^2


3 0
3 years ago
15. Which of the following equations was
arlik [135]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0)

m = \frac{0-6}{6-0} = \frac{-6}{6} = - 1

Note the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 or y = 6 - x ⇒ B

3 0
2 years ago
What irrational number can be added to pi to get a sum that is rational
m_a_m_a [10]

Answer is  -pi

Let x be this unknown number. Adding on x to pi gets us the expression x+pi

If we set x+pi equal to zero (which is a rational number) and solve for x, we get

x+pi = 0

x+pi - pi = 0 - pi

x = -pi

so adding pi to -pi will lead to 0 since

x+pi = -pi+pi = 0

5 0
3 years ago
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