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Naddika [18.5K]
3 years ago
11

What is the justification for step 1 in the solution process?

Mathematics
1 answer:
Sholpan [36]3 years ago
7 0
It’s the subtraction property of equality because you’re subtracting 15 from both sides
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A Taxi company charges $2.75 flat rate in addition to $0.85 per mile. Pepe has no more than $10 tospend on a ride. Write an ineq
Mashutka [201]

Answer:

0.85x+2.75<=10

Step-by-step explanation:

x is the number of miles he drives

the +2.75 is the flat rate

the <=10 is it must cost no more than 10, it may cost less, or equal, but no more than 10

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What are the coordinates of the point where the two lines intersect
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The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 243 cubic units.
Olin [163]

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8 0
2 years ago
What is the answer to this question?
andrezito [222]
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6 0
3 years ago
The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
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