Will's company offers a reimbursement package of $0.59 per mile plus $275

Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24

Nat2105 [25]

Answer:

E. 16 min 12 sec

Step-by-step explanation:

Let x represent total time taken to complete the exercise.

We have been given that Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.

When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. This means that 90% time of exercise is equal to 24 minutes and 18 seconds.

18 seconds will be equal to 0.3 minutes.

Let us find total time of exercise as:

$\frac{90}{100}x=24.3$

$0.90x=24.3$

$\frac{0.90x}{0.90}=\frac{24.3}{0.90}$

$x=27$

To find readout when Dara had completed 40% of her exercise session, we need to find 60% of total time.

$\frac{60}{100}(27)=0.60(27)=16.2$

Since our time in in minutes, so we will convert 0.2 minutes to seconds by multiplying by 60.

$0.20(60)=12$

Therefore, the readout will indicate 16 minutes 12 seconds, when Dara had completed 40% of her exercise session.

8 0

3 years ago

(2x+3y+4z)(4x^2+9y^2+16z^2-6xy-12yz-8zx)

erma4kov [3.2K]

1.1 Factoring: 4x2+9y2+16z2-6xy-12yz-8xz

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -6xy-12yz
Group 2: 16z2-8xz
Group 3: 4x2+9y2

Pull out from each group separately :

Group 1: (x+2z) • (-6y)
Group 2: (x-2z) • (-8z)
Group 3: (4x2+9y2) • (1)

Looking for common sub-expressions :

Group 1: (x+2z) • (-6y)
Group 3: (4x2+9y2) • (1)
Group 2: (x-2z) • (-8z)

6 0

2 years ago

Given 6, 8, and 11 as the three sides of a triangle, classify it as one of the following:

Katyanochek1 [597]

9514 1404 393

Answer:

C. Obtuse

Step-by-step explanation:

The "form factor" I use for this is ...

a^2 + b^2 - c^2 = 6^2 + 8^2 - 11^2 = 36 +64 -121 = -21

The value is negative, indicating an OBTUSE triangle.

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<em>Additional comment</em>

In this expression, 'a' and 'b' are the two shortest sides (in no particular order) and 'c' is the longest side. The interpretation is ...

negative — obtuse

zero — right

positive — acute

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If you're familiar with Pythagorean triples, you know that the 3-4-5 right triangle triple can be doubled to give 6-8-10. The long side of 11 is longer than the hypotenuse for the right triangle, so would correspond to a largest angle greater than 90°. The 6-8-11 triangle would be OBTUSE.