What is the square root of 169

Maggie is displaying paperback and hardback books on her book shelf. The ratio of hardback books to total books is 5 to 13. Whic

lubasha [3.4K]

Answer:

Total Paperback books = 8x , where x is any positive number

Step-by-step explanation:

Let

The total books are = 13x ; where x is any positive number

As given,

The ratio of hardback books to total books is 5 to 13.

⇒Hardback books = $\frac{5}{13}$ × Total books

⇒Hardback books = $\frac{5}{13}$ × 13x = 5x

So, Paperback books = Total books - Hardback books

= 13x - 5x

= 8x

⇒Total Paperback books = 8x

8 0

2 years ago

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x-y=

Bond [772]

Answer:

The system of linear equations has infinitely many solutions

Step-by-step explanation:

Let's modified the equations and find the answer.

Using the first equation:

$2x-y=5$ we can multiply by 2 in both sides, obtaining:

$2*(2x-y)=2*5$ which can by simplified as:

$4x-2y=10$ which is equal to:

$4x=2y+10$

Considering the second equation:

$=4x+ky=2$

Taking into account that from the first equation we know that: $4x=2y+10$ , we can express the second equation as:

$2y+10+ky=2$ , which can be simplified as:

$(2+k)y=2-10$

$(2+k)y=-8$

$y=-8/(2+k)$

Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:

$2+k=0$ if $k=-2$

This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.

For example, if k=0 then

$y=-8/(2+0)$ which give us y=-4, and, because:

$4x=2y+10$ if y=-4 then $x=(-8+10)/4=0.5$

Now let's try with k=-1, then:

$y=-8/(2-1)$ which give us y=-8, and, because:

$4x=2y+10$ if y=-8 then $x=(-16+10)/4=-1.5$ .

Then, the system of linear equations has infinitely many solutions

8 0

3 years ago

How do you write 1.92 x 10 0

nordsb [41]

Im guessing your saying how do you write 1.92 x 10 when you multiply you dont need to line up your decimals but it would lookm something like this:
1.92
x 10

and if it was 1.92 and 10.0 it would look like this

1.92
x 10.0

the deimals dont line up because you are multipling but if you were adding or subtrcating then you would have to line it up but not in this case

4 0

3 years ago

Cross multiplication;<br><br> 2/3 5/6<br><br> Do u just multiply 6 and 2, & 3 and 5????

seraphim [82]

Answer:

$2 \div 3 \times 5 \div 6 \: = 10 \div 18$

We just have to multiply not cross multiply,

10/18

Now, divide the equation

5/9 will be ur answer

3 0

2 years ago

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Water coming out of a fountain is modeled by the function f(x) = −x^2 + 5x + 4 where f(x) represents the height, in feet, of the

Anastaziya [24]

Calculating x=3 and x=5, we get f(x)=10 and 4 respectively by plugging the numbers into the equation. Finding the difference and dividing by 2 (since there are 2 seconds between 3 and 5), we get 3, so the answer is either A or C. Since it doesn't only fall 3 feet, we need to specify that it is 3 feet per second, A is right!

6 0

3 years ago

Read 2 more answers