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Anastaziya [24]
3 years ago
7

HELP

Mathematics
1 answer:
mestny [16]3 years ago
8 0

Answer:P=\frac{2}{5}

Step-by-step explanation:

Given

A movie theater has 7 seats in the front row  

12 seats in the middle row

11 seats in the back row

Probability first person who enters the theater will be in the middle row

P=\frac{\text{No. of middle seats}}{\text{total seats}}

P=\frac{12}{7+12+11}=\frac{12}{30}

P=\frac{2}{5}

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Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visi
olasank [31]

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

10 + 5x=y

Now, it is given that his goal is minimum of 50 countries.

So,

10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

4 0
3 years ago
Y = x^2 + 6x + 4<br><br>Find the vertex<br>And please explain how I don't understand.
Bond [772]

Answer:

(-3, -5) This is my answer I hope it helps

3 0
2 years ago
Zack buys some oranges from a store. The oranges cost $4.00 for 2 pounds. He wants to buy more fruit, but at the same price per
SSSSS [86.1K]

Answer:

C

Step-by-step explanation:

The oranges cost $4 per 2 lbs which is 4/2=$2 per lb. Option C has peaches at $6 for 3 lbs which is 6/3 =$2 per lb.

5 0
2 years ago
Read 2 more answers
Solve the system ... y=3x-8 and y=-9x+4
natita [175]
1] y - 3x = -8
[2] y + 9x = 4

-3x + y = -8 9x + y = 4

Solve equation [2] for the variable y


[2] y = -9x + 4

// Plug this in for variable y in equation [1]

[1] (-9x+4) - 3x = -8
[1] - 12x = -12
// Solve equation [1] for the variable x


[1] 12x = 12

[1] x = 1
// By now we know this much :

y = -9x+4
x = 1
// Use the x value to solve for y

y = -9(1)+4 = -5

{y,x} = {-5,1}
7 0
2 years ago
What is the exact area of a circle with a diameter of 18 feet
marin [14]
A = π r^2
A = 9^2 <span>π
</span>A = 81<span>π 

if using </span>π = 3.14 then

A = 3.14 x 81 = 254.47 ft^2

answer: 81π ft^2 or 254.47 ft^2

hope that helps
6 0
3 years ago
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