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pychu [463]
3 years ago
15

If Laura bikes x miles to and from her friend's house each day, what expression can be used to calculate the total distance she

travels in a week?
x / 7
x + 7
7x
7 – x
Mathematics
2 answers:
JulijaS [17]3 years ago
8 0

Answer:

7x

Step-by-step explanation:

Tye key word is EACH and that means to multiply, and when a 7 is touching a variable or in our case x, it means to multiply.

Kazeer [188]3 years ago
4 0

Answer:

7x

Step-by-step explanation:

Since she travels x miles a day, she will travel 7x miles a week because there are 7 days a week

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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
1 year ago
Ab= 6cm Ac=12cm <br> Calculate the length of Ad <br> Give your answer to 3 significant figures
Allisa [31]

Answer:

12.686cm

Step-by-step explanation:

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We know that a^2+b^2=c^2

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now we look at triangle BCD and use SOH CAH TOA.

Sin55=CB/CD\\Therefore, CD= 12.686

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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