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2 years ago

How many 3 1⁄2 lengths can be cut from a string measuring 105m?

Mathematics

2 answers:

Ann [662]2 years ago

8 0

Answer:

The answer is 30

Step-by-step explanation:

<h3><u>Given</u>;</h3>

3½ = 3.5

Now,

105 ÷ 3.5 = 30

Thus, The answer is 30

<u>-TheUnknownScientist 72</u>

valentina_108 [34]2 years ago

3 0

Answer:

101.5 or 101 1/2

Step-by-step explanation:

105/3.5 = 101.5

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Solve the following equation for x. x^2 - 36 = 0

Ilia_Sergeevich [38]

X = -6, x = 6
option c

4 0

2 years ago

Use matrices to solve the system of equations if possible. Use Gaussian elimination with back substitution or gauss Jordan elimi

CaHeK987 [17]

In matrix form, the system is given by

$\begin{bmatrix} -1 & 1 & -1 \\ 2 & -1 & 1 \\ 3 & 2 & 1 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} -20 \\ 29 \\ 29 \end{bmatrix}$

I'll use G-J elimination. Consider the augmented matrix

$\left[ \begin{array}{ccc|c} -1 & 1 & -1 & -20 \\ 2 & -1 & 1 & 29 \\ 3 & 2 & 1 & 29 \end{array} \right]$

• Multiply through row 1 by -1.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 2 & -1 & 1 & 29 \\ 3 & 2 & 1 & 29 \end{array} \right]$

• Eliminate the entries in the first column of the second and third rows. Combine -2 (row 1) with row 2, and -3 (row 1) with row 3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 5 & -2 & -31 \end{array} \right]$

• Eliminate the entry in the second column of the third row. Combine -5 (row 2) with row 3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 3 & 24 \end{array} \right]$

• Multiply row 3 by 1/3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 1 & 8 \end{array} \right]$

• Eliminate the entry in the third column of the second row. Combine row 2 with row 3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & 0 & -3 \\ 0 & 0 & 1 & 8 \end{array} \right]$

• Eliminate the entries in the second and third columns of the first row. Combine row 1 with row 2 and -1 (row 3).

$\left[ \begin{array}{ccc|c} 1 & 0 & 0 & 9 \\ 0 & 1 & 0 & -3 \\ 0 & 0 & 1 & 8 \end{array} \right]$

Then the solution to the system is

$\boxed{x=9, y=-3, z=8}$

If you want to use G elimination and substitution, you'd stop at the step with the augmented matrix

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 1 & 8 \end{array} \right]$

The third row tells us that $z=8$ . Then in the second row,

$y-z = -11 \implies y=-11 + 8 = -3$

and in the first row,

$x-y+z=20 \implies x=20 + (-3) - 8 = 9$

5 0

1 year ago

A student might expect that there is a positive correlation between the age of his or her computer and its resale value. Tue or

sergiy2304 [10]

Answer: False

Step-by-step explanation:

As time goes by, the resale value of a computer tends to drop because it tends not to function as properly as it did before, and the quality of new computers on the market drives the price of older computers down. So you can expect that as the amount of time increases, the resale value will decrease, resulting in a negative correlation

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3 years ago

assume the population of regulation basketball weights are normally distributed with a mean of 22 and a standard deviation of 1

Alex777 [14]

The probability that it will weigh less than 23.1 ounces is = 0.8643

P(x < 23.1)

= P[(x - \mu) / \sigma < (23.1 - 22) / 1]

= P(z < 1.1)

Using the z table,

= 0.8643

Probability is the branch of arithmetic concerning numerical descriptions of ways in all likelihood an occasion is to occur, or how likely it is that a proposition is authentic. The chance of an occasion is a variety of between zero and 1, where, roughly talking, 0 indicates the impossibility of the event, and 1 indicates truth.

The possibility of an event may be calculated through probability formulation by using simply dividing the favorable wide variety of consequences by the overall range of viable consequences.

Opportunity = the number of ways of achieving achievement. the whole quantity of feasible results. for instance, the possibility of flipping a coin and it being heads is ½, because there's 1 way of having a head and the total wide variety of viable results is 2 (a head or tail). We write P(heads) = ½.

Learn more about probability here brainly.com/question/25870256

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1 year ago

Please help

Digiron [165]

Step-by-step explanation:

guessing

volume is always unit cubed

so in this case inches cubed or in^3

so multiply all 3 numbers

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leather is 18×12×8 = 1728 in^3

canvas is 18×15×10 = 2700 in^3 but the depth in ge's canvas 15" in larger than the carry on checklist

the leather will definitely fit

7 0

2 years ago