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rewona [7]
3 years ago
10

6=-w/8 please solve for w

Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0

Answer:

w=-48

Step-by-step explanation:

6=-w/8

x8

48=-w

w=-48

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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
Help me a soon as possible I need your help help help please as soon as possible ASAP
evablogger [386]

Answer:

B

Step-by-step explanation:

The answer is b because the lines outside -65 are symbols for absolute value. Absolute value means the distance away from 0, so b would be an appropriate choice.

5 0
3 years ago
Read 2 more answers
Solve the equation for a.
nataly862011 [7]

Answer:

a=-7.68

Step-by-step explanation:

3a+13.61=-9.43

               -13.61

_____________

               -23.04

3a=-23.04

-23.04/3= -7.68

7 0
3 years ago
Suppose that z-scores come from a standard normal distribution. Use the Normal Probability Applet (Links to an external site.) t
Natalka [10]

Answer:

0.683

Step-by-step explanation:

We have to find P(-1<z<1).

For this purpose, we use normal distribution area table

P(-1<z<1)=P(-1<z<0)+(0<z<1)

Using normal area table and looking the value corresponds to 1.0, we get

P(-1<z<1)=0.3413+0.3413

P(-1<z<1)=0.6826

Rounding the answer to three decimal places

P(-1<z<1)=0.683

So, 68.3% of the z-scores will be between -1 an 1.

4 0
3 years ago
Evaluate the expression when x=-2 and y=3 3x-4y​
Illusion [34]

The expression re-written: 3(2) - 4(3)

First, we multiply (PEMDAS)

3 * 2 = 6

4 * 3 = 12

6 - 12 = -6

Answer: - 6

7 0
3 years ago
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