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sweet [91]
3 years ago
13

A team of astronauts is preparing a mission to the moon. The pull of gravity on the moon is different than on Earth. On the moon

, things weigh 16 of what they weigh on Earth. For this mission, each astronaut will bring x pounds of food and y pounds of gear. Which inequality correctly compares the weight of the supplies on the moon to the weight of the supplies on Earth, given that aa represents the number of astronauts going on the mission?a. xya²>1/3xya²
b. xya<1/3xya
c. xa+ya>1/6xa+1/6ya
d. 2axy>2/3axy
Mathematics
1 answer:
erik [133]3 years ago
8 0

Answer:

(C)xa+ya>\frac{1}{6}xa+\frac{1}{6}ya

Step-by-step explanation:

For this mission, each astronaut will bring

  • x pounds of food; and
  • y pounds of gear.

Weight of Supplies of One Astronaut on the earth = (x+y) pounds

If the total number of astronauts going on the mission= a

  • Total Weight on the earth of the supplies of all the Astronaut =a (x+y) pounds

On the moon, things weigh \frac{1}{6} of what they weigh on Earth.

  • Total Weight of the supplies of all the Astronaut on the moon =\frac{1}{6}a (x+y) pounds

Therefore,the inequality which correctly compares the weight of the supplies on the moon to the weight of the supplies on Earth is:

a (x+y) pounds >\frac{1}{6}a (x+y) pounds\\xa+ya>\frac{1}{6}xa+\frac{1}{6}ya

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A movie theater charges $15 for standard viewing, $20 for 3D viewing, and $35 for Dinner and a
Ludmilka [50]

The quantity of each type of seats sold are as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.

That is, x = 4y

Also, total seats

= (x) + (y) + (z) = 3000...….............eqn(1)

Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.

  • 20x + 35y + 15z = 53000...........eqn(2)

By substituting 4y for x in equations 1 and 2; we have;

<em>5y + z = 3000</em>..…........eqn(3) and

<em>115y + 15z = 53000</em>.........eqn(4)

By solving equations 3 and 4 simultaneously; we have;

y = 200 and z = 2000

and since x = 4y

x = 800

The quantity of each type of seats sold is as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

Read more:

brainly.com/question/12413726

5 0
2 years ago
Which of the following is equivalent to<br> (5) 3<br> O 54<br> O 54<br> 05<br> O V5
IrinaK [193]

Answer:

D. \sqrt[3]{5^7}

Step-by-step explanation:

The formula for this conversion is:

a^\frac{x}{n}=\sqrt[n]{a^x}

Substitute the values you currently have.

5^\frac{7}{3}=\sqrt[n]{a^x}

Since we know that

a = 5

x = 7

n = 3

Fill the square root with this.

5^\frac{7}{3}=\sqrt[3]{5^7}

4 0
2 years ago
Evaluate gh-k when g= -7 , h=4, and k= -6
Amanda [17]

Answer: -22

Step-by-step explanation: multiply -7 adn 4 that would be -28 then subtract -6 and it would give you -22

Have a good day!


3 0
3 years ago
Find the length of the third side to the nearest tenth 6 and 9
oee [108]

Hello, i do believe that you are asking me to do pythagorean theorem.

I'm not too sure if we are solving hypotenuse or a/b so i'll do both.

\boxed{\underline{Hypotenuse...}}\\\\\\A^2+B^2=C^2\\6^2+9^2=C^2\;\\36+81=117

\sqrt{117}=10.816\\Round-\;10.8

\boxed{\underline{a/b...}}\\\\\\A^2=C^2-B^2\\A^2=9^2-6^2\\A^2=81-36\\A^2=45\\\sqrt{45}= 6.708\\Round-\;6.7

Hope it helps!

6 0
2 years ago
3(5-2x)=-4(cx+4)
ycow [4]

Answer:

c = 3/2

Step-by-step explanation:

hello :

3(5-2x)=-4(cx+4)

-6x+15 = - 4 cx-16

-6x+4cx = -16-15    means 6x-4cx=-31

(6-4c ) x = 31

the equation have no solutions when : 6-4c = 0   (you have : 0x=31...false)

-4c=-6

c= -6/-4

c = 3/2

7 0
3 years ago
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