Meena is helping her school librarian to arrange books on the shelves. Based on this situation, answer the following questions: (Attempt any 4 questions)

2/3 of the books are Language books and 1/5 are Science books. What can you conclude from this statement?
There are fewer Language books than Science books
There are more Language books than Science books
They are equal in number
Can’t say anything

If the remaining books are of Mathematics, what is the fraction of those books?
1/15 b) 4/15 c) 2/15 d) 7/15

Answer:

p = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (3, 7)

m = [tex]\frac{7-(-3)}{3-(-1)}[/tex] = [tex]\frac{7+3}{3+1}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex]

Parallel lines have equal slopes

Calculate the slope of the other 2 points and equate to [tex]\frac{5}{2}[/tex]

with (x₁, y₁ ) = (3, p) and (x₂, y₂ ) = (7, - 4p)

m = [tex]\frac{-4p-p}{7-3}[/tex] = [tex]\frac{-5p}{4}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )

- 10p = 20 ( divide both sides by - 10 )

p = - 2

Step-by-step explanation:

#12

PQ = 6x + 25

QR = 16 - 3x

PR = 6x + 25 + 16 - 3x

PR = 3x + 41

#1

D = √(-4 - 5)² + (-7 - 2)²

D = √(-9)² + (-9)²

D = √81 + 81

D = √162

D = 9√2

Answer:

Step-by-step explanation:

1: x=5

2: x=2

3: x = 3

4: x=5

5: x=3

6: x=4

7: x=37

Answer:

Step-by-step explanation:

Width = w

Length = double the width = 2*w = 2w

Perimeter of rectangular tray = 60 in

2*(length + width) = 60

          2*( 2w + w) = 60    

                    2*3w = 60

                       6w  = 60

Divide both sides by 6

w = 60/6

w = 10 in

length =2w = 2*10 = 20

length = 20 in

Width = 10 in

Answer:

 if the aninmal is fluffy then it is not an aligator

Step-by-step explanation:

Answer:

-3.33333333333

-3.33 is your answer

hope this helps

Angles DUT and VUD sum to VUT. We can create an equation to model this.

DUT + VUD = VUT

Now, let's plug our values into the equation.

24x + 5 + 46 = 35x - 4

Simplify the left side.

24x + 51 = 35x - 4

Subtract 24x from both sides and add 4 to both sides.

55 = 11x

Divide both sides by 11.

5 = x

Answer:

$15.54

Step-by-step explanation:

Discount

(37 x 58)/100 = $21.46

Final Price

37 - 21.46 = $15.54

Answer:

[tex]y=\frac{8x}{1}-7\\[/tex]

Step-by-step explanation:

(1,1) and (2,9)

[tex]\frac{9-1}{2-1}[/tex] =[tex]\frac{8}{1\\}[/tex]

(2,9) and (x,y)

[tex]\frac{y-9}{x-2} =\frac{8}{1} \\\\1(y-9)=8(x-2)\\\\\frac{1y}{1}-\frac{9}{1}=\frac{8x}{1}-\frac{16}{1}\\\\y=\frac{8x}{1}-16+9\\y=\frac{8x}{1}-7[/tex]

Answer:

8t

Step-by-step explanation:

10t-2t= 8t

8t+5

Answer:

52/15= 3.46

YOUR WELCOME PERSON

Answer:

2.4 cookies

Step-by-step explanation:

Just divide

i dont know i wish I could help.

Answer:

-2 to 2

Step-by-step explanation:

see there's the sign of absolute value around x

so even if we put a negative number in place of x we'll get a positive outcome.

for example,

|x| = 4

|x| = 3

and so on

so the actual domain of |x| reduces to => 0 to 4.

as you'll get the values of |x| in between 0 and 4 throughout -4 to 4.

where the smallest value is 0 and largest is 4.

for range,

I'll just put these smallest and largest values in place of x and solve for domain

y= |0| - 2

y = -2

y = |4| - 2

y= 4 - 2

y = 2

so, the range of the function becomes -2 to 2.

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Hi there!

[tex]-2^2(-5x+10)=100[/tex]

Solve -2^2:

[tex]-4(-5x+10)=100[/tex]

Divide both sides by -4:

[tex]\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25[/tex]

Subtract 10 from both sides:

[tex]-5x+10-10=-25-10\\-5x=-35[/tex]

Divide both sides by -5:

[tex]\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7[/tex]

Therefore, x = 7.

I hope this helps!

Multiply hours per week by hourly pay rate:

20 x $15.75 = $315.00 per week

Multiply by 2 weeks:

$315 x 2 = $630

After 2 weeks paycheck is $630

Answer:

630

Step-by-step explanation:

15.75 x 20 = 315

315 is how much Angel makes in one week

315 x 2 = 630

630 is how much he will make in two weeks

The 2 signifies how many weeks have been worked

Answer:

B. Going up the elevator 14 floors

Step-by-step explanation:

Choice A can't be right because you are going below sea level (negative).

Choice C can't be correct either because the word "losing" let's you know that it's negative.

Choice D isn't right because if you are taking $20 from your checking account, it would be a negative number.

Hope this helps!

Answer: 7.5 (h)

Step-by-step explanation:

Let say

a the outflow of the first pipe

b the outflow of the second pipe

T the volume of the tank.

x the time for filling with the second pipe

two pipes can fill a tank in 3 hours: a*3+b*3=T

One pipe alone can fill the tank in 5 hours : a*5=T

3*b=T -3a ==> 3b= 5a*3a=2a

b=2a/3

b*x=T ==> 2/3*a*x=T ==> 2/3*T/5*x=T ==> 2/15*x=1

x=15/2 = 7.5 (hours)

Answer:

he spends $1.5 on strawberries and $6.75 on apples

Answer:

-15

Step-by-step explanation:

the number is N

N - 9 = -24

N = -15

Answer:

the answer is 33

Step-by-step explanation:

-24 + 9 = -33

Answer:

2/4 or 1/2

Step-by-step explanation:

Divide both sides by 2 and you get x=2/4. You can simplify further by dividing 2 and 4 by 2 to get 1/2

Answer:

x = 25 Degrees

Step-by-step explanation:

74-49 to make 25. The 74 represents the who entire angle. The 49 represents the smaller bottom angle. To get the other angle you would subtract 49 from 74 to make 25 degrees.

Answer:always

Step-by-step explanation:the lcm should always be included in the set. Like think about 2s and 3s the lcm will be 6 that is included. unless there is an exception I don’t know the lcm should always be included in the set

Answer:

7x3=21

18x3=54.

Answer:

D 0.54

Step-by-step explanation:

7/18 = 0.389

21/0.54 = 0.389

Use a calculator to if you're unsure or want to double check. (PS. I used it)

Hope it helped! Don't forget to give it 5 stars and leave a comment below if it helped! Thanks!

Answer:

First we can do 33 time 6

Step-by-step explanation:

The length of the base of the pyramid is 3 meters.

A pyramid is a polyhedron that has a base and 3 or greater triangular faces that meet at a point above the base. A square pyramid is a pyramid with a square base, four triangular sides, five vertices, and eight edges.

For the given situation,

The surface area of the pyramid = 33 m^2

Area of triangular faces = 6 m^2

Let the base of the pyramid be b and the height be h.

The formula of area of triangle is

[tex]A = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6 = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6(2) = (b)(h)[/tex]

⇒ [tex]12 = (b)(h)[/tex]

The formula of surface area of square pyramid is

[tex]SA = b^{2}+2bh[/tex]

⇒ [tex]33=b^{2} +2(12)[/tex]

⇒ [tex]33-24=b^{2}[/tex]

⇒ [tex]b=\sqrt{9}[/tex]

⇒ [tex]b=3[/tex]

Hence we can conclude that the length of the base of the pyramid is 3 meters.

Learn more about square pyramid here

https://brainly.com/question/22645991

#SPJ2

Answer:  5 miles/hour

Step-by-step explanation:  The slope of the line is 5:  every 1 hour adds 5 miles to the distance travelled.

Answer:

0.71

Step-by-step explanation:

Based on what we see here, we can deterime the probability of each flavor being drawn.

Apple: 11/38

Strawberry: 18/38

Lime: 9/38

So the probability of an apple NOT being drawn is 27/38. This is about 0.71.

Hope this helps!

Answer: 24,965

Step-by-step explanation:

hvnjujbmik,iki

uvb75jb7ikv7bk]

7bv85k8n6b