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3 years ago

9

A room decorator wants to purchase fabric. Each yard of fabric costs $2.90. Write a rule for the cost of the fabric. Let c equal

the total cost and f equal the number of yards of fabric.

1 answer:

STatiana [176]3 years ago

8 0

Expression: 2.90f = c

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x-300

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3 years ago

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Find positive integers that satisfy

tankabanditka [31]

9514 1404 393

Answer:

(x, y, z) = (1, 2, 3)

Step-by-step explanation:

The equations that result from reduction to row-echelon form are ...

x = 0.4 +0.2t

y = 5.6 -1.2t

z = t

Then t must have a value 5n+3 for 0 ≤ n < 1. That is, t=3.

x = 0.4 +0.2(3) = 1

y = 5.6 -1.2(3) = 2

z = 3

The integers that satisfy are (x, y, z) = (1, 2, 3).

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3 years ago

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Which are solutions of the equation x2 - 16 = 0? Check all that apply.

Setler [38]

Answer:

x=-4

x=4

Step-by-step explanation:

We can factor x^2 -16 = 0 by recognizing that it is a difference of squares. That means we can factor the equation to (x-4)(x+4) = 0. By using the Zero Product Property we know that either (x-4) or (x+4) is equal to 0. That means that x either equals -4 or 4.

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3 years ago

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From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men in the delegation?

Ostrovityanka [42]

Answer:

The expected number of men in the delegation is 0.86.

Step-by-step explanation:

Number of men = 3

Number of women = 4

A delegation of 2 is selected.

Let X be the number of men selected. So, the possible values of X are 0,1,2.

$P(X=0)=\dfrac{^3C_0\times ^4C_2}{^7C_2}=\dfrac{2}{7}$

$P(X=1)=\dfrac{^3C_1\times ^4C_1}{^7C_2}=\dfrac{4}{7}$

$P(X=2)=\dfrac{^3C_2\times ^4C_0}{^7C_2}=\dfrac{1}{7}$

The expected number of men in the delegation is

$E(x)=0\times P(X=0)+1\times P(X=1)+2\times P(X=2)$

$E(x)=0\times \dfrac{2}{7}+1\times \dfrac{4}{7}+2\times \dfrac{1}{7}$

$E(x)=\dfrac{6}{7}$

$E(x)\approx 0.86$

Therefore, the expected number of men in the delegation is 0.86.

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3 years ago

What is three x² times nine x⁴

Zolol [24]

Answer:

=27x6

Step-by-step explanation:

=3 × x2 × 9 × x4

=27 × x6

=27x6

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3 years ago