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3 years ago

Find the Area of the quadrilateral. Please help

Mathematics

1 answer:

Nikitich [7]3 years ago

6 0

Answer:

18 ft^2

Step-by-step explanation:

This quadrilateral is a parallelogram.

Area = base × height

= 6 × 3

= 18 ft^2

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2 mi. yd. I'm confused

dybincka [34]

Answer && Step-by-step explanation:

Obtain yards by multiplying miles by 1760

== 3520 yards

6 0

3 years ago

The 9th graders are selling tickets to raise money for a class field trip. They are selling student tickets for $5 and adult tic

Marina CMI [18]

Answer:

Total number of adult tickets sold = 10

Total Number of Students tickets sold = 30

Step-by-step explanation:

Let $x$ be the number of student tickets sold.

Let $y$ be the number of adult tickets sold.

As per the question statement, total tickets sold are 40.

$x +y =40 ...... (1)$

Price of each student ticket = $5

Sales from students' tickets = Price of each students ticket $\times$ Number of students tickets sold

Sales from student's tickets = 5 $\times x$

Price of each adult ticket = $9

Sales from adult's tickets = Price of each adult's ticket $\times$ Number of adult tickets sold

Sales from student's tickets = 9 $\times y$

Total sales is done by students and adult tickets is $240 as per the question statement.

$\Rightarrow 5x + 9y = 240 ......(2)$

Solving equations (1) and (2) using elimination method:

Equation $(2) - 5 \times (1)$ :

$5x + 9y -5x-5y = 240-200\\\Rightarrow 4y = 40\\\Rightarrow y =10$

Total number of adult tickets sold = 10

Putting $y=10$ in equation (1):

$x+10 = 40\\\Rightarrow x = 30$

Total number of students tickets sold = 30

Total number of adult tickets sold = 10

Total Number of Students tickets sold = 30

8 0

3 years ago

Wendy saved up for a family trip to the beach. For each $1 she saved, her parents pledged to save $5. If her parents were able t

viva [34]

225/5 = 45
This means the parents gave her five dollars forty five times. If they gave her a five every time she saved one dollar, you just have to multiply the money she saved each time and the number of times she saved it, and you'll get the answer.
Wendy saved $45 by herself

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3 years ago

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Oksanka [162]

Answer:

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Step-by-step explanation:

5 0

3 years ago

A certain three-cylinder combination lock has 60 numbers on it. To open it, you turn to a number on the first cylinder, then

statuscvo [17]

Answer:

(a) The number of different lock combinations is 216,000.

(b) The probability of getting the correct combination in the first try is $\frac{1}{216000}$ .

Step-by-step explanation:

The lock has three-cylinder combinations with 60 numbers on each cylinder.

The procedure of the opening lock is to turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder.

The numbers can be repeated.

(a)

There are three cylinder combinations on the lock, each with 60 numbers.

It is provided that repetitions are allowed.

Then each cylinder can take any of the 60 numbers.

So there are 60 options for the first cylinder.

There are 60 options for the second cylinder.

And there are 60 options for the third cylinder.

So the total number of possible combinations is:

Total number of combinations = 60 × 60 × 60 = 216000.

Thus, the number of different lock combinations is 216,000.

(b)

The events of getting a correct combinations of the three-cylinder combination lock implies that all the three cylinder are set at the correct numbers.

Each cylinder has 60 numbers.

This implies that there are 60 possible ways to get a correct number for the first cylinder.

The probability of getting the correct number for the first cylinder is:

P (Number on 1st cylinder is correct) = $\frac{1}{60}$ .

Similarly for the second cylinder the probability of getting the correct number is:

P (Number on 2nd cylinder is correct) = $\frac{1}{60}$ .

And similarly for the third cylinder the probability of getting the correct number is:

P (Number on 3rd cylinder is correct) = $\frac{1}{60}$ .

So the probability of getting the correct combination in the first try is:

P (Correct combination in the 1st try) = $\frac{1}{60}\times \frac{1}{60}\times \frac{1}{60}=\frac{1}{216000}$ .

Thus, the probability of getting the correct combination in the first try is $\frac{1}{216000}$ .

7 0

3 years ago