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nexus9112 [7]
2 years ago
5

A boat can travel 408 miles on 204 gallons of gasoline how far can it travel on 169 gallons

Mathematics
1 answer:
guapka [62]2 years ago
6 0

Answer:

<h2>338 miles</h2>

Step-by-step explanation:

If a boat can travel 408 miles on 204 gallons, this means that for every 2 miles, it requires 1 gallon.

So, for 169 gallons, there are 2 miles for every gallon.

So, multiply 169 * 2.

The answer is 338

Hope this helps!

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Given: Q = 7m 3n, R = 11 - 2m, S = n 5, and T = -m - 3n 8. Simplify R - S T. M - 2n - 2 -3m - 4n 14 3m - 4n 14 -m 2n - 2.
ziro4ka [17]

To solve the algebraic expression, add or subtract the variables with same power of variable.

The result of the given problem after simplifying is,

y=7m+n-6

<h3>How to write algebraic expression? </h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

To solve the algebraic expression, add or subtract the variables with same power of variable.

Given information-

The given numbers are,

Q=7m+3n\\R=11-2m\\S=n+5\\T=-3-3n

All the four number given in the form of unknown number m and n.

The result, need to be find is,

R-S+T+M

Let the result of above expression is y. Thus,

y=R-S+T+M

Put the values to solve it further,

y=(7m+3n)-(11-2m)+(n+5)+(-m-3n)

Solve it further by open the bracket as,

y=7m+3n-11+2m+n+5-m-3n\\y=7m+2m-m+3n+n-3n-11+5\\y=7m+n-6

Hence the result of the given problem after simplifying is,

y=7m+n-6

Learn more about the algebraic expression here;

brainly.com/question/2164351

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2 years ago
You find 13,406,190 pennies which is $134,061.90 and weighs 118,222.45 lbs. Now assume a movie ticket costs $9.00, how many movi
inn [45]

Answer:

14895.6

Step-by-step explanation:

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3 years ago
Does anyone know any other good apps for math like Algebra 1.?
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Photomath is a good one. So is KhanAcademy, but I don't know if they have an app version of the website.
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Which set of sides would make a right triangle?​
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Answer:

c

Step-by-step explanation:

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3 years ago
Y=-x^2+6x-4<br> Find the Axis of Symmetry and the Vertex, Also solve the whole equation.
Inessa [10]

Answer:

1. <em>Axis of symmetry</em>: x = 3

2. <em>Vertex:</em> (3,5)

3. <em>Solution of the equation</em>:

<u />

  • x-intercepts:

               (3-\sqrt{5},0) \\\\(3+\sqrt{5},0)

  • y-intercept: (0, -4)

Explanation:

<u>1. Equation:</u>

    y=-x^2+6x-4

<u>2. </u><em><u>Axis of symmetry:</u></em>

That is the equation of a parabola, whose standard form is:

                 y=ax^2+bx+c

Where:    

                 a=-1;b=6;c=-4

The axis of symmetry is the vertical line with equation:

               x=-b/2a

Substitute  a=-1,\text{ and }b=6

          x=-6/[(2)(-1)]=-6/(-2)=3

Thus, the axis of symmetry is:

            x=3

<em><u>3. Vertex</u></em>

<em><u /></em>

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

               y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5

Therefore, the vertex is (3, 5)

<u>4. Find the x-intercepts</u>

The x-intercepts are the roots of the equation, which are the points wher y = 0.

        y=-x^2+6x-4=0

Use the quadratic equation:

       x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}

<u>5. Find the y-intercept</u>

<u />

The y-intercet is the value of y when x=0:

         y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4

7 0
4 years ago
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