Iqbal and Sachin have bookshelves of the same size and holding books of the same sizes. Iqbal's shelf is 7/8 full and Sachin's shelf is 12/15 full. If 351 more books of the same size are distributed among them, then they can fill their shelves completely. How many books does Sachin have now?
a)
864

b)
865

c)
800

d)
850

Answers

Answer 1

Answer:

540 books

Step-by-step explanation:

It is given that Iqbal's shelf is 7/8 full ..

→ That Means we can say that, iqbal's shelf is (1 - 7/8) = 1/8 is Empty .....

Similarly,

Sachin's shelf is 12/15 full.

→ That Means we can say that, sachin's shelf is (1 - 12/15) = 3/15 is Empty.....

→ Both total Empty = (1/8 + 3/15)

Taking LCM of denominator ,

→ (15+24 /120)

→ 39/120

→ 13/40 part is Empty in both .

Now, it has been said that, when 351 more books are distributed among them , both shelves filled completely .

So, we can say that :----

→ 13/40 part ---------------- 351

→ 1 part ---------------------- 351*40/13 = 1080 = Total Books in Both Selves .

__________________

Now, since bookshelves of the same size and holding books of the same sizes ,,

→ Both have Books in Each = 1080/2 = 540 books .


Related Questions

What is the equation of the line that passes through the point (-6, -6) and has a
slope of -1/3?

Answers

Answer:

Step-by-step explanation:

Let's find an equation by starting with the slope intercept form:

y = mx + b

where m is the slope and b the y-intercept (the value of y when x=0).

We are given the slope, so:

y = -(1/3)x + b

Now we need to find a value for b that will force the line to go through point (-6,-6).  We can determine by putting the point (-6,-6) into the equation and solving for b:

y = -(1/3)x + b

-6 = -(1/3)(-6) + b   [Enter the point (-6,-6]

-6 = 2 + b

b = - 8

The equation becomes y = -(1/3)x - 8.

See the attachment.

how to find the side of a triangle given one side and one angle calculator

Answers

Answer:

Check below :)

Step-by-step explanation:

If you are asked to find a side of a triangle using a given side and an angle. You should check if it is a right-angled triangle, if it is then you can use the SOH, CAH, TOA which uses the formulae as shown:

sinΘ= [tex]\frac{opposite}{hypotenuse}[/tex]

cosΘ= [tex]\frac{adjacent}{hypotenuse}[/tex]

tanΘ= [tex]\frac{opposite}{adjacent}[/tex]

(Search them online for detailed explanation about trigonometry on right-angled triangles)

If it is not right-angled triangles, you need to double-check if there is another side given or angle given to use the sine rule or cosine rule

Sine rule: 2 angles and opposite side/ 2 sides and opposite angle

Cosine rule: involves 3 sides and one angle

help i have math homework and im real bad at it i got a B- last year so help

Answers

4y-12 is the answer
4y-12 is correct. whatever number is outside of the parentheses you just multiply that with the two numbers in the parentheses to distribute :)

5 |2x + 6| = 25 what is x

Answers

Step-by-step explanation:

මාපාංක සුලු කිරිම.

l xl means ± x .

then |2x+6| = ±(2x+6)

for positive no;

5 (2x+6) = 25

10x + 30 = 25

10x = -5

x = -1/2

for negative no;

5(-2x - 6) = 25

-10x - 30 = 25

-10x = 55

x = - 11/2

otherthan that I observed.

5 |2x + 6| means only consider about the positive number. i think it called as amplitude.

then you have to calculate by considering only considering plus value.

How ever in my openion is first method is correct. i have doubt about that. so you have to discuss your teacher dear. to find correct way.

Graph ​x≥2​.
If you’re confused about the question pls don’t answer it just ask about it in the comment section

Answers

it should be the 1st picture

Answer:

The first graph is correct.

Step-by-step explanation:

Note that the equation states x ≥ 2.  It includes the "equals" sign, so the graph line should include 2.  This is indicated by the solid line, as opposed to the 4th graph, which shows it as a dashed line.  The dashed line is correct for x>2, but not for x ≥ 2.

Please help!!! what are the 3 solutions of 0​

Answers

No solution, many solution
No solutions many solutions and solutions

will mark brainleist

Answers

Answer:

Figure a) 2

Figure B) 4

Figure c) 5

Step-by-step explanation:

Answer: A: has 1 line B has 2 and 3 has 5

Step-by-step explanation:

**QUESTION**
Which of the statements about the y-axis are true?

**STATEMENTS**
I. The y-axis is a vertical number line that passes through the origin.
II. The y-axis intersects the x-axis at the point (0 , 0).
III. The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.
IV. The y-axis is a horizontal number line that passes through the origin.

**OPTIONS**
I and II
B.
I only
C.
IV only
D.
II and IV

Answers

Answer:

I.

II.

One and two are the correct ones

Step-by-step explanation:

Y goes up and down

X is side to side

so

x comes first in an ordered pair.

(I remember that by saying, "You need to find the room before you can ride the elevator)

9. Find the slope of the line
that passes through the
following pairs of points.


a. (5, 4) and (-4,3)


B. (10, 8) and (9, 13)

Answers

Answer:

a]y= 0.11x + 3.44

b]y= 0.11x + 3.44

explanation:

y=mx+b form

Pls help ion know how to this jaunt

Answers

Answer: a very straight forward b 2 4 and 6 c 9

Step-by-step explanation:

Write as a single fraction in its simplest form.

Answers

[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]

PLEASE HELP I NEED TO HAVE THIS DONE IN 30 MINUTES

Answers

Answer:

Yes it does. Because it's a linear graph, what Mena's it's a linear relationship, and linear relationships are proportional

can i have some help :

Answers

Answer:

b<11=board is shorter then

b>11=more then 11 books

b<12=fewer then 12

b>12=taller then 12

Hope This Helps!!!

enter an algebraic expression for the word expression.
2 decreased by n​

Answers

Answer:

2 - n

Step-by-step explanation:

2 decreased by n means n less than 2.

Answer:

Write each phrase as an algebraic expression. Phrase, Expression. nine increased by a number x, 9 + x. fourteen decreased by a number p, 14

Step-by-step explanation:

2-n       Plz mark brainliest if correct

Find the perimeter of the figure below, in centimeters.

Answers

Answer

64.8

Step-by-step explanation:

brainliest pls

Answer:

64.8 cm.

Step-by-step explanation:

Add up the sides:

Perimeter = 2(8.7) + 2(5.5) + 2(5.5) + 2(10.8) + 2(1.9)

= 17.4 + 11 + 11 + 21.6 + 3.8

= 64.8 cm.

A motor-boat takes the same time to travel 80 miles downstream as it takes to travel 60 miles upstream. If the speed of the stream is 5 miles/hr, find the speed of the motor-boat in still water.

Answers

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:

a + 5 = 80/t

t = 80/(a + 5)

For upstream:

a - 5 = 60/t

a - 5 = 60 / (80/(a + 5))

a - 5 = 0.75a + 3.75

0.25a = 8.75

a = 35 miles per hour

The speed of the motor-boat in still water is 35 miles per hour.

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Once the prompt in image is read answer choices are:
A. -0.9
B. -0.4
C. 0.4
D. 0.9​

Answers

I don’t understand what exactly you want

You have 6 large candy bars you want to split each one into thirds.how many candy bar pieces will you then have

Answers

Answer:

18 lol

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

because you are getting a higher number of candy bars you can mutiply 6*3 to get 18

or you can do 3+3+3+3+3+3 or 6+6+6

Records show that Oliver is typically 10–30 minutes late for his shift at work. The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.

A uniform density curve is at y = StartFraction 1 Over 20 EndFraction.

Company policy requires employees to be less than 12 minutes late for work. What percentage of the time will Oliver meet company policy?

6.7%
10%
60%
90%

Answers

Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.

From the complete information, the probability distribution will be:

= 1/(b - a) = 1/(30 - 10) = 1/20

Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:

= (12 - 10) × 1/20

= 2 × 1/20

= 1/10

= 10%

In conclusion, the correct option is 10%.

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https://brainly.com/question/24304697

a spidere traveled 20 feet in 12 minutes. at this rate, how far could it travel in 3 minutes

Answers

Answer:

Spider travel in [tex]5ft[/tex] in 3 minutes

Step-by-step explanation:

A spider traveled 20 feet in 12 minutes.

Speed of spider is

[tex]\frac{20}{12} =\frac{5}{3} ft/min[/tex]

Now we need to find how far could it travel in 3 minutes

Distance

[tex]=3\times\frac{5}{3} \\\\=5ft[/tex]

(Look at the picture ) Consider the graph of the function f below.
N0.6
(4.6
6
(3.4)
21 8(2.2)
-6
-8
-4
-2
0
2
4
6
8
What is the value of f (4)?
1
A
B
3
С
6
D
14

Answers

Answer:

yes u picked C thats the correct answer

Step-by-step explanation:

3 3/4 x 2/5 as a fraction

Answers

Answer:

13/20

Step-by-step explanation:

The value of 3(3/4) x 2/5 as a fraction is 3/2.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

3(3/4) x 2/5

= 15/4 x 2/5

= 3/2

Thus,

The value is 3/2.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

if we changed the –0.14 to a 2 in the equation, what would happen to the graph?

Answers

If -0.14 is changed to 2, the graph would become a positive graph, or it would be steeper, because it has a positive slope

The equation of the graph is given as:

[tex]y = -0.14x + 3[/tex]

The above equation is a linear equation, which is represented as:

[tex]y =mx + c[/tex]

Where m represents the slope of the linear equation.

By comparison, we have:

[tex]m = -0.14[/tex]

i.e. the slope of the equation [tex]y = -0.14x + 3[/tex] is -0.14

When -0.14 is replaced with 2, the equation becomes

[tex]y = 2x + 3[/tex]

And the slope of the new equation [tex]y = 2x + 3[/tex] is

[tex]m =2[/tex]

2 is greater than -0.14, and 2 is positive.

This means that the graph would become a positive graph, or it would be steeper, because it has a positive slope

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Multiply. Enter your answer as a simplified mixed number. -4(3/14) ​

Answers

Answer:

-53 /14

Step-by-step explanation:

These are the coordinates of a
quadrilateral. Determine whether it is
also a trapezoid, parallelogram, or
neither.
J(5,5), K(8,6), L(9,9), M(6,8)
A. trapezoid
B. parallelogram
C. neither

Answers

Answer:

parallelogram is the answer

Answer:

Step-by-step explanation:

The quadrilateral is a parallelogram ( more precisely is the rhombus )

(b) Part B
How many solutions does the following the system of equations have?

Answers

Answer:

Its C.

Step-by-step explanation

:Took the test

_ ➗ 9 = 7

Find the missing number

Answers

Answer:

Hi the answer is x=63

x/9=7

multiply both sides by 9

(x/9)*(9)=(7)*(9)

therefore 63 is the missing number

A ratio of a TV's width to its height is 16:9. If its width is 32 inches, what is the length of its diagonal? Give your answer to the nearest tenth of an inch.

Answers

Answer:

36.7

Step-by-step explanation:

what's 5+5+5+5+5+5? and then times 1 ?

Answers

5+5+5+5+5+5 = 30

30 * 1 = 30

a quter of 30 is=
pleas help

Answers

Answer:

7.5

Step-by-step explanation:

If 'quter' is quarter, then 30(1/4) is 7.5

A quarter of 30 is 7.5

All you gotta do is divided 30 by 4 cause a quarter is half of the half. It's the 1/4th part of the whole.

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