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3 years ago

Find the smallest solution to the equation 2/3 X² equals 24

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2 = 24

Multiply each side by 3/2

3/2 *2/3 x^2 = 24*3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ±6

The smallest solution is -6

The largest solution is 6

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Where does this real # belong?

Eddi Din [679]

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3 years ago

John is driving around town. When he reaches the gas station, he notes that he has traveled 20 miles. He reaches home 2 hours la

Troyanec [42]

Answer:

$d=5t+20$

Step-by-step explanation:

The equation that will model this situation will be of the form

$d=mt+b$

where $t$ is the time in hours john has traveled since the gas station, and $d$ is the distance.

Now we know that John has already traveled 20 miles when he is at the gas station, this means at $t=0$ , $d=20$ ; or

$20=m(0)+b$

$\boxed{b=20}$

Thus we have

$d=mt+20$ .

Now we need to figure out $m.$

When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have

$m= \frac{\Delta d}{\Delta t} =\frac{10 miles}{2hours} =5$

$\boxed{m=5}$

Now we have the full equation:

$\boxed{d=5t+20}$

8 0

3 years ago

15 people shared 65 1/2 acres of land. How much did each get?

beks73 [17]

You need to divide 65 1/2 by 15.

$65 \dfrac{1}{2} \div 15 =$

$= \dfrac{131}{2} \div \dfrac{15}{1}$

$= \dfrac{131}{2} \times \dfrac{1}{15}$

$= \dfrac{131 \times 1}{2 \times 15}$

$= \dfrac{131}{30}$

$= 4 \dfrac{11}{30}$

Each one got $4 \dfrac{11}{30}$ acres.

3 0

3 years ago

Read 2 more answers

If x players are divided into teams of 8, how many teams are there

Semenov [28]

Answer:

Each team has 8 players. That means that the x players will be separated into x / 8 teams.

Hope this helps!

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4 years ago

Hehe please help! 15 points! My brain is broken, if you could give both the answer and the process that would be very appreciate

wariber [46]

Answer:

vertex of the angle

Step-by-step explanation:

Angle Introduction - The figure formed by the two line segments QR and QP from the common point Q is an angle. Angle Components - Segments QR and QP are called the sides or arms of the angle. The common point Q is called the vertex of the angle.

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3 years ago