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Sergio039 [100]
2 years ago
10

Solve this system of equations 5x + 4y = 6 10x -2y = 7

Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0

Answer:

x = 4/5

y = 1/2

Step-by-step explanation:

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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
10 months ago
Solve for "c."<br> a = b/(c-d)
8_murik_8 [283]

Answer:

c=

ad+b

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give me brilliant please

Step-by-step explanation:

a=

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Step 1: Multiply both sides by c-d.

ac−ad=b

Step 2: Add ad to both sides.

ac−ad+ad=b+ad

ac=ad+b

Step 3: Divide both sides by a.

ac

a

=

ad+b

a

c=

ad+b

a

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2 years ago
WHAT IS THE SURFACE AREA OF THE FIFURE?
max2010maxim [7]
I think the correct answer is 560ft^2.
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3 years ago
A 3cm×10cm rectangle sits inside a circle with radius of 12. Find the area of the shaded region
kolezko [41]

Answer:

422.4cm²

Step-by-step explanation:

area of circle is pi x 12² which is 144 pi

144pi subtract 30 is 422.4

6 0
2 years ago
Math question down below
Alja [10]

Answer:

E

E is the only one that ends with 70 and is also all multiples of 6.

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3 years ago
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