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3 years ago

Algebra 2 word problem: Urgent!

Mathematics

1 answer:

vesna_86 [32]3 years ago

6 0

Answer:

180 hours

Step-by-step explanation:

Surfer #1 takes a capsule every 6 hours, but this is also equal to 2 capsules every 12 hours. Surfer #2 takes 1 capsule every 12 hours. Thus, both surfers take a total of 3 capsules every 12 hours.

By dividing 45 total capsules they need to consume by 3, the number of capsules the surfers consume every 12 hour, you get the total number of hours times 12 it takes for them to consume 45 capsules. 45 / 3 = 15, so it takes 15 * 12 hours for them to consume 45 capsules. This is equal to 180 total hours.

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Luden [163]

$\left[\begin{array}{ccc}2&6&3\\-5&1&4\end{array}\right]$

R1 ÷ 2 = $\left[\begin{array}{ccc}1&3&1.5\\-5&1&4\end{array}\right]$

R2 ÷ -5 = $\left[\begin{array}{ccc}1&3&1.5\\1&-0.2&-0.8\end{array}\right]$

R2: R1 - R2 = $\left[\begin{array}{ccc}1&3&1.5\\0&3.2&2.3\end{array}\right]$

R2 ÷ 3.2 = $\left[\begin{array}{ccc}1&3&1.5\\0&1&0.71875\end{array}\right]$

R1: R1 - 3R2 = $\left[\begin{array}{ccc}1&0&0.65625\\0&1&0.71875\end{array}\right]$

Answer: x = 0.65625, y = 0.71875

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2 years ago

Stephanie is a very good soccer player. She can kick a soccer ball with an initial velocity of 21.3 m/sec. The function that rep

algol [13]

If the ball hit the ground it means that its height is equal to 0. In order to find the time after the ball <span>will hit the ground, we need to find the solution of the equation h(x)=0 which is different to 0.

-4.9x^2+21.3x=0
x(-4.9x+21.3)=0
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2 years ago

What is the root of the equation 2x + 10 = f(x)?

Korolek [52]

Answer:

x=-5

Step-by-step explanation:

2x+10=0

2x=-10

x=-5

5 0

2 years ago

Read 2 more answers

Ben used 10 1/2 gallons to drive 4 3/4 hours. How many gallons did Ben use in 1 hour?

Kryger [21]

Answer:

About 2.2 gallons

Step-by-step explanation:

Create the following proportion:

$\frac{10.5}{4.75}$ = $\frac{x}{1}$

Cross multiply.

10.5 x 1 = 10.5

4.75 x X = 4.75x

4.75x = 10.5

Divide both sides by 4.75x.

10.5/4.75 = 2.2

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2 years ago

The curve part of the track of the roller coaster is represented by an equation, y = 1/64x^3 - 3/16x^2 with point P as the origi

NNADVOKAT [17]

Answer:

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3 years ago