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mihalych1998 [28]
3 years ago
15

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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The answer is D
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6 0
3 years ago
-6n-20=-2n+4 (1-3n)<br> how do you solve it?
Leona [35]
6n−20=−2n+4(1−3n)

Simplify both sides of the equation.

−6n−20=−2n+4(1−3n)

−6n+−20=−2n+(4)(1)+(4)(−3n)(Distribute)

−6n+−20=−2n+4+−12n

−6n−20=(−2n+−12n)+(4)(Combine Like Terms)

−6n−20=−14n+4

−6n−20=−14n+4

Add 14n to both sides.

−6n−20+14n=−14n+4+14n

8n−20=4

Add 20 to both sides.

8n−20+20=4+20

8n=24

Divide both sides by 8.

8n/8 = 24/8

n=3

7 0
3 years ago
Read 2 more answers
At a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump
Aleks04 [339]

Answer:

0.150,0.595

Step-by-step explanation:

Given that at a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump regular, 30% pay at least $30. Of those who pump midgrade, 50% pay at least $30. And of those who pump premium, 60% pay at least $30.

               Regular gas          Midgrade         Premium gas      Total

Percent      40                            35                     25                   100

atleast 30   30%                         50%                 60%

a) The   probability that the next customer pumps premium gas and pays at least $30

=0.25*0.60\\=0.150

b)        the probability that the next customer pays at least $30

= P(regular and pays atleast 30%)+P(premium and pays atleast 30%)+P(midgrade and       pays atleast 30%)

=0.40*0.30+0.35*0.50+0.25*0.60\\=0.12+0.175+0.30\\=0.595                  

6 0
3 years ago
A group of 83 students are visiting the National Aquarium in Baltimore. Volunteers lead tours for groups no larger than 5 studen
Fiesta28 [93]

Answer:

17 tour guides

Step-by-step explanation:

First, we need to divide 83 by 5.

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As you can see, there are 16 tour guides that can handle 5 students each. However, there are a remainder of 3 students, so we need one extra tour guide. Thus, the answer is 17 tour guides.

8 0
2 years ago
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ANEK [815]

Answer:

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Step-by-step explanation:

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x<16/-4

x<-4

3 0
3 years ago
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