A fisherman can row upstream at 2mph and downstream at 8mph. He started rowing upstream till he got tired and the rowed downstream to his starting point. How far did the fisherman row if the entire trip took 2 hours

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-6 = n/2 - 10

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that -6 does indeed equal -6.

∴ n = 8 is the solution to the equation.

Answer:

Is this a test

Step-by-step explanation:

Answer:

Shampoo one is a better buy

Step-by-step explanation:

Step one:

given data

The 16 fl oz. Cost $6.19 and

The 13.5 fl oz. Cost $ 3.99

Required

The better buy/ unit cost

Step two:

shampoo one

unit cost = 16/6.19

=$2.58 per fl oz

shampoo two

unit cost = 13.5/3.99

=$3.38 per fl oz

Answer:

−10ba+15ba^2

Step-by-step explanation:

The product of the given monomial and binomial is -10ab+15a²b.

The given expression is −5b(2a−3a²).

We need to simplify the polynomial using multiplication.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.

Now, 2a×(−5b)−3a²×(−5b)

=-10ab+15a²b

Therefore, the product of the given monomial and binomial is -10ab+15a²b.

To learn more about the multiplication of polynomials visit:

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Answer:

Graph of the new function will be vertically stretched by 2 units.

Step-by-step explanation:

A linear function is represented by the equation, y = [tex]\frac{1}{3}x+ 4[/tex]

This function has the slope = [tex]\frac{1}{3}[/tex] and y-intercept = 4

If this function is stretched vertically by 'k' the the equation of the new function will be,

y = [tex]a(\frac{1}{3})x+ 4[/tex]

y = [tex]\frac{a}{3}x+4[/tex] ---------(1)

If the slope of this equation is changed to [tex]\frac{2}{3}[/tex],

New equation of the function will be,

y = [tex]\frac{2}{3}x+4[/tex] ---------(2)

Comparing equations (1) and (2),

a = 2

Therefore, graph of the new function will be stretched vertically by 2 units.

Answer:

the answer is the option B 35

Step-by-step explanation:

first, add 4 and 3. you will get 7. Next, multiply 7 by 5 and you will get the answer :35

[tex]5(3 + 4) \\ 5(7) \\ 35[/tex]

Answer:

[tex]y-4=\frac{1}{2} (x+10)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the point (-10,4)

[tex]y-4=m(x-(-10))[/tex]

Two negatives make a positive

[tex]y-4=m(x+10)[/tex]

Plug in the slope

[tex]y-4=\frac{1}{2} (x+10)[/tex]

I hope this helps!

Answer: 4x-y+2=0 i think

Step-by-step explanation

Answer:

610.9 km

Step-by-step explanation:

For the plane that is flying at 520km/h:

520km/h * 45minutes * 1h/60minutes = 390 km

For the plane that is flying at 480km/h:

480km/h * 45minutes * 1h/60minutes= 360 km

This is a SAS triangle which means Side angle Side

the formula for this is: a^2 = b^2 + c^2 − 2bc cosA

for this problem it should be:

a^2= (390^2) +(360^2) - 2(390*360)*cos(115)

a should be approximately 610.9 km

Answer:

x>5

Step-by-step explanation:

Answer:

I did Mental Math and Got 6!

5 times -5 +1 is -9 , -9/2 needs a 4 for the denominator to divide I think and so that would make it -18/4, and -18/4 divided by -3/4 is 6/1 which equals 6.

Answer:

50:1

Step-by-step explanation:

600/12

1 hour for every 50 PHP

Answer:

a. $105

b. $455

Step-by-step explanation:

Answer: it is B. 39t + 54

Step-by-step explanation:

9(4t + 6) + 3t --- (distribute the 9 to 4t and 6 (9(4t) + 9(6))

36t + 54 + 3t --- (combine like terms, 36t + 3t)

39t + 54

The polygons that are regular are:

Triangle, Parallelogram, and Square.

Options A, B, and C are the correct answer.

It is a polygon having six faces.

The volume of a cube is side³.

We have,

A regular polygon is a polygon where all the sides are equal and the interior angles are equal.

Now,

Figure 1 is a triangle.

Figure 2 is a parallelogram.

Figure 3 is a square.

Figure 4 does not have the same side and the same interior angles.

Thus,
Figure 4 is not a regular polygon.

Learn more about cubes here:

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My answer is 1.192 I hope this helps u

Answer:

9.622318872565011

Step-by-step explanation:

The square root of 2.4 is a very long decimal, but here it is: 1.549193338482967

And if you divide it by the reciprocal of 3, (which is 1/3) it would basically be multiplying by 3. So:

1.549193338482967 x 3= 4.6475800154489

Finally, divide it by 0.483:

9.622318872565011

Tip: you should use a calculator on questions like these.

Answer:

Area of the full circle(A)= pi*d^2/4

A=3.143*3^2/4

A=7.07in^2

Area of the Quarter of the circle(B)

B=1/4A

B=1.77in^2

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

Answer:

4.69ft³

Step-by-step explanation:

1.5×2.5×1.25=4.69

Answer:

43 : 25

Step-by-step explanation:

ratios are quantitative relationship between 2 numbers.

adults = 25

kids = 43

ratio of kids to adults at the park should be shown as

(kids) : (adults)

*these numbers cannot be simplified.

plug the numbers in:

43 : 25

Answer:  1. [tex]456\div2 =228[/tex] 2. [tex]538\div7=76.85[/tex]

Step-by-step explanation:

The given division problems :

[tex]1.\ 456\div2[/tex]

[tex]2.\ 538\div7[/tex]

By long division (see the attachment)

1. Divisor= 2

Dividend =456

Quotient = 228

Remainder =0

So, [tex]456\div2 =228[/tex]

2. Divisor= 7

Dividend = 538

Quotient =76.85

so, [tex]538\div7=76.85[/tex]

________the answer is Y=8X+2___________

Step-by-step explanation:

_

Answer:

The value of x is 14.75 ⇒ (2)

Step-by-step explanation:

In the given figure

∵ The vertices of the quadrilateral BCED lie on the circumference of circle A

→ By using the 1st rule above

∴ BCED is a cyclic quadrilateral

∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED

→ By using the 2nd rule above

∴ m∠B + m ∠E = 180°

∵ m∠B = 6x + 10

∵ m∠E = 81.5°

∴ 6x + 10 + 81.5° = 180°

→ Add the like terms on the left side

∴ 6x + 91.5 = 180

→ Subtract 91.5 from both sides

∵ 6x + 91.5 - 91.5 = 180 - 91.5

∴ 6x = 88.5

→ Divide both sides by 6 to find x

∴ x = 14.75

Let's solve for p.

[tex]y=4x3+4px2+16x−9[/tex]

Step 1: Flip the equation.

[tex]4px2+4x3+16x−9=y[/tex]

Step 2: Add -4x^3 to both sides.

[tex]4px2+4x3+16x−9+−4x3=y+−4x3[/tex]

[tex]4px2+16x−9=−4x3+y[/tex]

Step 3: Add -16x to both sides.

[tex]4px2+16x−9+−16x=−4x3+y+−16x[/tex]

[tex]4px2−9=−4x3−16x+y[/tex]

Step 4: Add 9 to both sides.

[tex]4px2−9+9=−4x3−16x+y+9[/tex]

[tex]4px2=−4x3−16x+y+9[/tex]

Step 5: Divide both sides by 4x^2.

4px² / 4x² = −4x³ − 16x + y + 9 / 4x²

Answer:

p = −4x³ − 16x + y + 9 / 4x²

Answer:

A. £147.10

B. 17 children

Step-by-step explanation:

Let

Number of children = x

Cost of hiring a bouncy castle = £4.70 * x + £86

What is the cost of the bouncy castle for 13 children

Cost of hiring a bouncy castle = £4.70 * 13 + £86

= £61.1 + £86

= £147.10

How many children went to the party when cost of hiring bouncy castle = £165.90

Cost of hiring a bouncy castle = £4.70 * x + £86

£165.90 = £4.70 * x + £86

165.90 = 4.70x + 86

165.90 - 86 = 4.70x

79.9 = 4.70x

x = 79.9/4.70

= 17

x = 17 children

Answer: See explanation

Step-by-step explanation:

Interest = PRT

Principal = $100

Rate = 10%

Time = 1 year

Interest = PRT = (100 × 10% × 1)

= 100 × 0.1 × 1

Interest = $10

Amount = Principal + Interest

= $100 + $10

= $110

Hey there!

The perimeter of the floor plan is 30 inches.

Perimeter is length + length + width + width, so we can do 9 + 9 + 6 + 6 = 30

The area of the floor plan is 54 inches²

Area is length x width, so we can do 9 x 6 = 54

The perimeter of the actual size is 105 feet

First, we can solve the dimensions for the actual size. We know that 2 inches = 7 feet, so we can do 7/2 and get 3.5. This means that for every 1 inch, it's 3.5 feet. Then, we multiply the dimensions by 3.5:

9 x 3.5 = 31.5 feet

6 x 3.5 = 21 feet

Then we solve for perimeter. Perimeter is length + length + width + width, so we can do 31.5 + 31.5 + 21 + 21 = 105

The area of the actual size is 661.5 inches²

Area is length x width, so we can do 31.5 x 21 = 661.5

Hope this helps! Tell me if you need more help.

Answer:

Step-by-step explanation:

p = .38