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2 years ago

PLEASE HELP

Mathematics

1 answer:

Eva8 [605]2 years ago

6 0

Answer: 51 Children and 36 Adults.

Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.

We know that x+z= 87

We also know that 3.25x+3.5z= 291.75.

We want to find the value of x and z. Then we solve the system of equations:

Multiply the first equation by -3.5 and add it to the second equation:

-3.5x-3.5z= -304.5

3.25x+3.5z= 291.75

-----------------------------------------------------------------------------------------------------------------

-0.25x=-12.75

x= -42.75 ÷ -0.25

x=51

----------------------------------------------------------------------------------------------------------------

Now we substitute the value of x in the first equation and solve for the variable z

51+z=87

z=87-51

z= 36

Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.

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Work out the surface area of a sphere please help if u get it correct i’ll give h brainlest

Bingel [31]

Answer:

Surface area of sphere = 4πr²

r = radius

and radius = diameter/2

radius = 13/2

= 6.5cm

Surface area = 4 × π × 6.5

= 26 × π

= 81.68

= 81.7cm²

Hope this helps.

5 0

2 years ago

Which of the following statements describes the process for solving 4x ≥ -24?

arsen [322]

Answer:

C. Divide both sides of the inequality by 4 but don't flip the symbol.

Step-by-step explanation:

When you solve an inequality, you have to get the x by itself. So, in this inequality, the first thing you would do is divide both sides of the inequality by 4. The new and solved equation would look like this:

x ≥ -6

Because multiplying by a negative, dividing by a negative, or having negatives on both sides of the inequality was not involved in solving for x, flipping the symbol is not needed.

I really hope this helps! Have an amazing day :3

5 0

2 years ago

A video game system and several games are sold for $652. The cost of the games is 3 times as much as the cost of the system. Fin

vesna_86 [32]

Answer:

The cost of the system is $163 and The cost of the games is $489

Step-by-step explanation:

∵ A video game system and several games are sold for $652

∵ The cost of the games is 3 times as much as the cost of the system

→ Assume that the cost of the system is $x

∵ The cost of the system = x

∴ The cost of the games = 3 × x = 3x

∵ The total cost of the system and the games = 652

→ Equate the sum of the cost of the system and the cost of the games

by 652

∴ x + 3x = 652

→ Add the like terms in the left side

∴ 4x = 652

→ Divide both sides by 4 to find x

∵ $\frac{4x}{4}=\frac{652}{4}$

∴ x = 163

∵ The cost of the system = x

∴ The cost of the system is $163

∵ The cost of the games = 3x

∴ The cost of the games = 3(163) = 489

∴ The cost of the games is $489

4 0

2 years ago

Convert 68F to degrees cleius. Using the formula c=5(F-32)/9 where C=temperature in Celsius

Pavel [41]

Answer:

Step-by-step explanation:

c = 5(68-32)/9

c = 5(36)/9

c = 20

3 0

2 years ago

7. Mrs. Golden pulls names from the jar to determine who will be the class leader. There are 13

Artist 52 [7]

Answer:

9:22

Step-by-step explanation:

9 is the boys 13 is the girls

22 is the total

3 0

2 years ago