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

Answer:

x=5

Step-by-step explanation:

Let's say the left side has points A, B, and C, with B in the middle, and the right side has points A, E, and D, with E in the middle

The Triangle Proportionality Theorem Converse states that if a line splits two sides of a triangle proportionally, the line is parallel to the remaining line.

Here, we can see that the sides are split into congruent lengths to each other, making their proportions 1:1. This proves the theorem converse, so 5x is parallel to 8x+10. Because the other two sides are connected to each other, with AB being a part of AC and AE being a part of AD, AB is parallel to AC and AE is parallel to AD. Given this, we can say that triangle ABE is similar to triangle ACD.

In a similar triangle, the lines corresponding to each other have the same ratio as other lines. This means that

AB/AC = AE/ED = BE/CD.

We are trying to find BE and CD to solve for x, and we can do this by finding the ratio between them

AC = AB + BC

BC = AB

AC = 2 * AB

AB / (2*AB) = BE / CD

1/2 = 5x/(8x+10)

multiply both sides by 2 to remove a denominator

1 = 10x / (8x+10)

multiply both sides by 8x+10 to remove the other denominator

8x+10 = 10x

subtract 8x from both sides to put the variable and its coefficients on one side

2x = 10

divide both sides by 2 to solve for x

x = 5

Answer:

It is the first one.

Answer:

  (x, y) ⇒ (-x +5, -y +2)

Step-by-step explanation:

Rotation 180° is described by ...

  (x, y) ⇒ (-x, -y)

Translation right 5 and up 2 is described by ...

  (x, y) ⇒ (x +5, y +2)

The two transformations together that map P to R are described by ...

  (x, y) ⇒ (-x +5, -y +2)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

 y - y0 = m(x - x0)

y - (-8) = (-1/2)(x - 4)

 y + 8 = (-1/2)x + 2

 y = (-1/2)x - 6  or  (1/2)x + y = -6

Answer:

Step-by-step explanation:

The answer would be 6 because you would count the distance like it says!

Answer:

Y= -3x + 11

Step-by-step explanation:

Y= -3x + 11 (-3x is your slope and 11 is your y intercept)

Answer:

The answer is 16.

Sorry if it's incorrect.

Step-by-step explanation:

Answer:

Step-by-step explanation:

It may help you to rewrite this problem in columns:

 2x - 3

-(  x - 1)

------------

   x - 2 (answer) ("x minus 2")

Answer:

i think x = -4, y = 5

Step-by-step explanation:

x = 16 - 4y

3x + 4y = 8

3(16 - 4y)+4y = 8

48-12y+4y = 8

48-8y = 8

48-8 = 8y

40 = 8y

5 = y

so

x = 16 - 4y

x = 16 - 4(5)

x = 16 - 20

x = -4

Answer:

300

Step-by-step explanation:

This question is pretty simple.

First, we just have to find 50% of 200.

So 50% is also 1/2.

1/2 of 200 is just 100. The question says that the truck is 50% LONGER than the car.

So 50% longer is 100 and 100+200(the length of the car) is 300.

The answer.

Your math problem

(==)=24=+53−2+12

f(x)=2x^{4}+5x^{3}-2x+12

Find solutions on the

Answer:

about 40 kilometers

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3/5 kg of clay are divided into 1/5 a kilogram, so how many times is 1/5 in 3/5?

equation is

[tex]=\frac{3}{5} /\frac{1}{5}\\\\=\frac{3}{5}*\frac{5}{1} \\\\=\frac{15}{5} \\=3[/tex]

Answer:

y= 32

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

112/200

Step-by-step explanation:

To find an equivalent fraction with a new denominator you can simply multiply by 1. However, you must multiply by different forms of 1. Remember that any number divided by itself is equal to 1. Additionally, because of the identity property of multiplication, any number multiplied by 1 is still equivalent.

In this case, you should multiply by a fraction that will make 25=200. To get 200 from 25 you must multiply by 8. So, multiply the whole fraction by 8/8. This gives you (14/25)*(8/8)=112/200.

Answer:

Step-by-step explanation:

82 +9=5000 thank me later

Step-by-step explanation:

A

the answers are already right in picture. we only need to count.

maybe the problem is understanding a cube ? when it says here "the edge of each cube is 1 1/2 in long", then it means that every side length of a cube is the same (length, width, height). it is the principle of a 2-dimensional square in 3 dimensions.

and "prism" is simply another word for "box".

so, we see that there are 5 cubes fitting along the length of the prism.

so, the length of the prism is

5× 1 1/2 in = 5× 3/2 = 15/2 = 7 1/2 in.

3 cubes are the width of the prism.

so, the width of the prism is

3× 1 1/2 in = 3× 3/2 = 9/2 = 4 1/2 in.

B

we know the height of the prism is 3/4 ft.

1 ft = 12 in

3/4 ft = 3/4 × 12 = (3×12)/4 = 36/4 = 9 in

how many layers of cubes fit into 9 in ?

well, that is what we use division for :

9 ÷ 1 1/2

this is the same as

9 / 3/2 = (9/1) / (3/2)

to divide by a fraction is the same as to multiply with the upside-down fraction. therefore :

(9/1) × (2/3) = (9×2) / (1×3) = 18/3 = 6

so, 6 layers of the cubes fit into the prism.

Answer:

18

Step-by-step explanation:

since the equation of AC is y=x-4 then the length of CB and AB must be the same. therefor its (6*6)/2

Answer:

Step-by-step explanation:

MAy yoy make it bigger

Answer:

0.1 i think

Step-by-step explanation:

each line is 0. *number* until u reach 1 then it goes to 1.*number*

Answer:

0.1

Step-by-step explanation:

Simplifying h(x) gives

h(x) = (x² - 3x - 4) / (x + 2)

h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)

h(x) = ((x + 2)² - 7x - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)

h(x) = (x + 2) - 7 - 22/(x + 2)

h(x) = x - 5 - 22/(x + 2)

An oblique asymptote of h(x) is a linear function p(x) = ax + b such that

[tex]\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0[/tex]

In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.

Answer:

u are u and u and u and u and u

Answer:

x = 6

Step-by-step explanation:

45°+45°+m∆2 = 180°

m∆2 = 90°

; m∆2 = 16x-6

90 = 16x-6

96 = 16x

96/16 = x

6 = x

(x-5)(x-6)

I dunno, its my question, just answering it for fun

Answer:

[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]

[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]

[tex]Mindpoint =\left(2,\:1\right)[/tex]

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]

[tex]0 = arctan(\frac{y}{x} = 26.565051177078^o[/tex]

[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]

X = 6 – -2 = 8

Y = 3 – -1 = 4

Equation of the line:

y = 0.5x

When x=0, y = 0

When y=0, x = -0

Midpoint:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:3\right)[/tex]

[tex]=\left(\frac{6-2}{2},\:\frac{3-1}{2}\right)[/tex]

[tex]=\left(2,\:1\right)[/tex]

Answer:

Perimeter= 40

Area= 120.7

Step-by-step explanation: