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2 years ago

What is the solution to this inequality?

Mathematics

1 answer:

castortr0y [4]2 years ago

3 0

Answer:

x > −4

Step-by-step explanation:

Step 1: Add 5 to both sides.

6x-5+5 > -29+5

6x>-24

Step 2: Divide both sides by 6

6x/6 > -24/6

x > -4

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A spherical balloon is being deflated at a rate of 5 cubic centimeters per second. At what rate is the radius of the balloon cha

Dvinal [7]

Answer:

0.0048cm/s

Step-by-step explanation:

Volume of the spherical balloon is expressed as;

$V = 4/3 \pi r^3\\$

dV/dt = dV/dr * dr/dt

Given

dV/dt = 5cm³/s

dV/dr = 4πr²

Since V = 972picm³

972π = 4/3πr³

972 = 4/3r³

4r³ = 972 * 3

r³ = (972 *3)/4

r³ = 729

r = ∛729

r = 9cm

dV/dr = 4π(9)²

dV/dr = 324π

dV/dt = dV/dr * dr/dt

5 = 324πdr/dt

dr/dt = 5/324π

dr/dt = 5/324(3.14)

dr/dt = 5/1017.36

dr/dt = 0.0048cm/s

5 0

2 years ago

Two movie tickets and 3 snacks are $24.two movie tickets and 5 snacks are $28.how much is a movie ticket and how much is a snack

maks197457 [2]

Answer:

S: $0.18

T: $11.73

Step-by-step explanation:

T=tickets

S=snacks

2t+3s=24

5s=28

Divide 5 with 28.

Roughly $0.18

s=0.18.

2t+3(0.18)=24

2t+0.54=24

Subtract 0.54:

2t+0.54-0.54=24-0.54

2t=23.46

Divide 2:

t=11.73

So A snack is $0.18, and a ticket is $11.73

Hope this helped!

4 0

3 years ago

Can i have some help on both of these questions for brainlist !!!!!!!!!!!

Nezavi [6.7K]

Answer:

B and A

Step-by-step explanation:

What I did for these problems is plug in the numbers listed for the x-value. For example, in your calculator you’d put; (1/2)^3 and that’d get you 1/8. Then, try it for 8^(2 - 3) which is also 1/8. So, (1/2)^3 = 8^(2 - 3).

The same process for the second problem. 16^(2(7/3) -3) = 4^((7/3) + 1). This should give you 101.59…

I hope this helps :)!

5 0

2 years ago

Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5). What are the coordinates after the two transformations: Translati

igor_vitrenko [27]

Given :

Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5).

To Find :

The coordinates after the two transformations:

a) Translation (x, y) --> (x - 2, y - 1) .

b) Rotation: 90 degrees counterclockwise at the origin.

Solution :

Applying transition a) , we get :

R'(2-2,3-1) , S'(-2-2,1-1) , T'(-1-2,5-1)

R'( 0, 2) , S'( -4 , 0), T'( -3, 4)

Now , When any point ( h , k ) is rotated 90° counterclockwise about the origin, the new points are (-k , h) .

So , R''( -2, 0) , S''( 0, -4 ) , T''( -4 , -3 ) .

Therefore , the coordinates after transformations are

( -2, 0) ,( 0, -4 ) , ( -4 ,-3 ) .

Hence , this is the required solution .

6 0

3 years ago

Sample Response: First, I wrote each ratio as a fraction. Then I found a common denominator of 20. The fraction 4/10 is 8/20. Co

lesantik [10]

In the case above, the option that one need to include in your answer is to Find a common denominator.

<h3>What is Fraction in lowest terms?</h3>

When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.

Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.

Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.

Learn more about Fraction from

brainly.com/question/78672

#SPJ1

8 0

2 years ago