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3 years ago

Juanita has saved 10% of the money that she needs to buy a new bike. If she has saved $20 how much does the bike cost?

Mathematics

1 answer:

pychu [463]3 years ago

6 0

Answer:2

Step-by-step explanation: first you multiply 10 x 20 than divided by 100

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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

4 months ago

What is the product?

ra1l [238]

-9x(5 - 2x) Distribute/multiply 9x into (5 - 2x)

(-9x)5 - (-9x)2x

-45x - (-18x²) 2 negative signs cancel each other out and become +

-45x + 18x² Your answer is A ( the first option)

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2 years ago

The sum of 10 times a number and fifteen is added to 11 times the same number. (how do i make this into a algebraic expression?)

Ne4ueva [31]

10a times (15+11) or 10a times 26

6 0

2 years ago

For one batch of cookies, the ratio of ounces of butter to ounces of flour is 2 to 3

dezoksy [38]

Answer: For 3 Batches, 6 butter & 9 flour

For 5 Batches, 10 butter & 15 flour

Step-by-step explanation:

1 Batch = 2:3

So, whatever we times up by in batches we can do the same to the ingredients.

1 batch = 2:3

multiply 3

3 batches = 6:9

and so on…

3 0

2 years ago

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Use elimination to solve the system of equations. <br> x+y=−3 <br> 2x−3y=29

attashe74 [19]

Answer:

(4,-7)

Step-by-step explanation:

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2 years ago

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