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balandron [24]
3 years ago
12

A river is flowing at the speed of 2 miles per hour. A kayaker moves 528 feet upstream in 20 minutes. At this rate, how fast wou

ld the kayaker be paddling in calm water?
Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0
D=rt
r=(boatrate+riverrate)=(x+2)mph

d=528ft=528/5280mi=1/10mi
t=1/3hr
remember to keep the same units
so

1/10=(x+2)(1/3)
times both sides by 3
3/10=x+2
minus 2 or 20/10
-17/10=x
-1.7=x
it would be going -1.7mph (means going backwards)
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Answer:

nuber 1

Simplifying

3x + 2y = 35

Solving

3x + 2y = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3x + 2y + -2y = 35 + -2y

Combine like terms: 2y + -2y = 0

3x + 0 = 35 + -2y

3x = 35 + -2y

Divide each side by '3'.

x = 11.66666667 + -0.6666666667y

Simplifying

x = 11.66666667 + -0.6666666667y

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3 years ago
Randall’s family drove to the beach for vacation. Assume they drove the same speed throughout the trip. The first day, they drov
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7 0
3 years ago
Can someone help me with these please?
saul85 [17]

Point-slope form: y-y1 = m(x-x1)

Standard form: ax + by = c

Slope-intercept form: y = mx+b


Start by finding the slope. We know it is negative since the line is decreasing. The slope is -4/3.


To create point-slope form, we need to get one point from the graph. Let's use (3,0).

y = -\frac{4}{3}(x-3)


To create slope-intercept form, we need the slope and the y-intercept. The y-intercept is the point where our equation crosses the y-axis. For this equation, it is 4.

y = -\frac{4}{3}x + 4


To get standard form, solve the equation in terms of C.


Point-slope form: y = -4/3(x-3)

Slope-intercept form: y = -4/3x + 4

Standard form: 4/3x + y = 4



7 0
3 years ago
A cuboid measures 6cm by 3cm by 2cm<br><br> Draw a net of the cuboid
Tresset [83]

Answer:

See attachment for cube

Step-by-step explanation:

Given

Length = 6cm

Width = 3cm

Height = 2cm

Required

The net of the cuboid

A cuboid has 6 faces.

The dimension of these faces are:

Length and Width; Length and Height;

Length and Width; Length and Height;

Width and Height; Width and Height;

This means that the faces will have the following dimensions:

6cm by 3cm; 6cm by 2cm

6cm by 3cm; 6cm by 2cm

3cm by 2cm; 3cm by 2 cm

Taking into account the above measurements and dimensions, you draw 6 faces, then join similar sides lengths.

<em>See attachment for net of the cuboid</em>

4 0
3 years ago
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Wewaii [24]

(6x^4) + (15x^3)(y^2) + (3x^2)(y^3) is your answer

As we are looking at descending powers of x. Look at the powers of the x. In the first one (6x^4), the power is 4, and 4 is greater than the other numbers given (3 & 2). Therefore, the order given above is correct.

hope this helps

7 0
3 years ago
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