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Marat540 [252]
3 years ago
13

A survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to the daily morning edition and 1250 s

ubscribe to both the daily and the sunday editions. how many subscribe to the Sunday edition? how many subscribe to the Sunday edition only?
Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

1500 people subscribed Sunday edition and 250 people subscribed only sunday edition.

<u>Solution:</u>

Given, A survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to the daily morning edition  

And 1250 subscribe to both the daily and the sunday editions.  

We have to find how many subscribe to the Sunday edition? how many subscribe to the Sunday edition only?

Let x denote the number who subscribe to the Sunday edition.  

Then the addition rule with overlap tells us that  

Those who subscribe daily edition + those who subscribe sunday edition - those who subscribe both daily and sunday edition = total subscribers in survey

2250 + x – 1250 = 2500

1000 + x = 2500  

x = 1500  

so, 1500 subscribe to the Sunday edition and 1500 – 1250 = 250 subscribe to the Sunday edition only.

Hence, 1500 people subscribed Sunday edition and 250 people subscribed only sunday edition.

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The ratio of the number of boys to the number of girls at Liam's school is 4:5. There are 270 students at his school. Statement
Aleks04 [339]

Answer:

"statement 1: The number of boys at the school is \frac{4}5 of the number of girls." is true.

Step-by-step explanation:

Given:

Ratio of Number of boys to the number of girls = 4 : 5

Total number of students = 270

To find:

Number of boys in terms of number of girls = ?

Solution:

As per given statement,

Let, Number of boys = 4x

Let, Number of girls = 5x

Total number of students = Number of boys + Number of girls = 270

\Rightarrow 4x+5x =270\\\Rightarrow 9x=270\\\Rightarrow \bold{x  = 30}

Therefore, number of boys = 4 \times 30 = 120

And, number of girls = 5 \times 30 = 150

As per Statement 1:

Finding \frac{4}5 of the number of girls:

\dfrac{4}{5}\times 150 = 4 \times 30 = 120 = Number of boys.

Finding \frac{4}9 of the total number of students:

\frac{4}{9}\times 270= 4 \times 30 = 120 = Number of boys.

Number of boys is equal to \frac{4}9 of total number of students.

So, "statement 1: The number of boys at the school is \frac{4}5 of the number of girls." is true.

6 0
3 years ago
Help please!!!<br> (please show work)
Aleksandr [31]

78=.26x

 divide both side by .26

and it will equal 300

when you calculate it it will be 3 but put 300

8 0
3 years ago
Read 2 more answers
Video One, a Blu-ray disc player manufacture, produces two model of Blu-ray players. The mini-blue,
Alexeev081 [22]

Answer:

This question is very big, you should shorten your question a bit so that I can answer it quickly, the rest is just that I did not understand the question a bit

5 0
2 years ago
The length of a rectangle is 2 feet less than twice the width. The area of the rectangle is 180 feet squared. Find the length an
Ksenya-84 [330]

Answer:

Width=10

Length=18

Step-by-step explanation:

The length is 2 feet less then twice the width

Let the width be x.

Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.

x(2x-2)=180

2x^2 - 2x - 180 = 0

2( x^2 - x - 90) = 0

We now have a factorable quadratic.

2(x+9)(x-10)=0

So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.

So x=10

Then the width is 10 and the length is 18

Hope this helps! Let me know if it is correct!

3 0
3 years ago
How many times does 3 go into 8?
kupik [55]
Two times because 3,6
3 0
3 years ago
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