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3 years ago

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The teacher passed out math books. The length is 10 inches and the width is 8 inches. What is the perimeter of each book?

1 answer:

loris [4]3 years ago

8 0

Books are rectangles so that means that opposite sides are equal so if one side is 10 inches then so is the opposite side. same for the 8. the perimeter is the amount around the rectangle so you must add all sides together to find it so

10in+10in+8in+8in= 36in

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Select the two values of x that are roots of this equation.<br>x + 2x - 6 = 0

VLD [36.1K]

For this case we must solve the following quadratic equation:

$x ^ 2 + 2x-6 = 0$

Where:

$a = 1\\b = 2\\c = -6$

The solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting:

$x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 24}} {2}\\x = \frac {-2 \pm \sqrt {28}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 7}} {2}\\x = \frac {-2 \pm2 \sqrt {7}} {2}\\x = -1 \pm \sqrt {7}$

Thus, we have two roots:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

ANswer:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

8 0

3 years ago

Economists predict that Americans will spend $1,180 on Summer Vacation in 2015, this is up 5.6% from 2014. What did Americans sp

netineya [11]

Answer: $1117.42

Step-by-step explanation:

Given: The amount predicted by Economist =$1180

Let x be the amount spent by Americans on Summer vacation in 2014.

Therefore, According to the question, we have

5.6% of x+x=1180

$\Rightarrow0.056\timesx+x=1180\\\Rightarrow x(0.056+1)=1180\\\Rightarrow\ x=\frac{1180}{1.056}=1117.42\approx$

Hence, the amount spent by Americans on Summer vacation in 2014 = $1117.42

3 0

3 years ago

kherson [118]

Answer:

6000cm

Step-by-step explanation:

multiply all figures given

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Rzqust [24]

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3 years ago

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