A book is opened to a page at random. The product of the facing page numbers is 9312. What is the sum of the facing page numbers?

Given:

The graph of a proportional relationship.

To find:

The constant of proportionality, the value of y when x is 24 and the value of x when y is 108.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]             ...(i)

Where, k is the constant of proportionality.

The graph of proportional relationship passes through the point (5,15).

Substituting x=5 and y=15 in (i), we get

[tex]15=k(5)[/tex]

[tex]\dfrac{15}{5}=k[/tex]

[tex]3=k[/tex]

Therefore, the constant of proportionality is 3.

Substituting k=3 in (i) to get the equation of the proportional relationship.

[tex]y=3x[/tex]              ...(ii)

Substituting x=24 in (ii), we get

[tex]y=3(24)[/tex]

[tex]y=72[/tex]

Therefore, the value of y is 72 when x is 24.

Substituting y=108 in (ii), we get

[tex]108=3x[/tex]

[tex]\dfrac{108}{3}=y[/tex]

[tex]36=y[/tex]

Therefore, the value of x is 36 when y is 108.

Answer:

130 degree of 2 and 8

Step-by-step explanation:

I think so

Answer:

130

Step-by-step explanation:

Have a nice day

Answer:

30 or 5

Step-by-step explanation:

Answer:

x^4+4x^3+8x^2+8x-5

Step-by-step explanation:

Now we find for x,

[tex] \sf \implies x = 2 + {2}^{2} [/tex]

[tex] \sf \implies x = 2 + 4[/tex]

[tex] \sf \implies \: x = 6[/tex]

Hence, the exact value of x is 6.

Answer:

the exact value of x= 6

hope it is helpful to you

Answer:

Number of items is x, and cost is y

Step-by-step explanation:

Number of items would be the x quanitity because it illustrates the quantities supplied which is the independent variable. The cost is always on the y axis because it shows the minimum price that a supplier would accept for a given quantity meaning it's the dependent variable.

I know that may be confusing but that's the only way to explain it.

Answer:

its the second one

Step-by-step explanation:

Answer:

djjdkdjddjfjfirrifkfkfjfkfkgkgkggkgkgkgkkkgkgkgkgkghotoriasjekic

Answer:

Area = .5 * side 1 * sine (A) * side 2

Area = .5 * 100 * sine (54) * 88

Area = 4,400 * 0.80902

Area = 3,559.688

Step-by-step explanation:

Answer: one variable decreases as the other increases

Step-by-step explanation:

Answer: 24ft

Step-by-step explanation:

The exercise gives you the following formula:

Where "h" is the height of the square pyramid and "x" is the length of one side of the base.

According to the data given, you know that:

Therefore, you can subsitute these values into the formula:

Now, you need to solve for the "x" to calculate the length of one side of the square base of that pyramid.

Answer:

-3x+12-9x+8=-3(4x-7)

-3x+12-9x+8=-12x+21

-12x+21=-12x+21

21=21

infinitely many solutions

hope this helps

have a good day :)

Step-by-step explanation:

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

-3x + 12 - 9x + 8 = - 3(4x - 7)

Simplify the equation, then we have

- 3x + 12 - 9x + 8 = -3(4x - 7)

- 12x + 20 = - 12x + 21

12x - 12x = 1

(0) x = 1

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ3

Answer:

2n - 2

Step-by-step explanation:

rewrite without parentheses, pretend there is a 1 between the minus sign and the open parentheses that has to be distributed:

3n - 1(2 + n)

3n - (1)(2) + (-1)(n)

3n - 2 - n

combine 3n and -n to get 2n

2n - 2

Answer:

[tex]2n - 2[/tex]

Step-by-step explanation:

When there is a - in front of an expression in parentheses, change the sign of each term in the expression:

[tex]3n - 2 - n[/tex]

Combine like terms:

[tex]3n - n - 2 \\ 2n - 2[/tex]

Answer:

3i , -3i

Step-by-step explanation:

This is correct, I don't see what's wrong.

Answer:

10-15=15

do the same with all of them

Step-by-step explanation:

Answer:

So the odds of rolling an even number are 3:(6−3)=1:1 .

Step-by-step explanation:

Answer: 40 cm, 20 cm, 10 cm

Step-by-step explanation:

Given

Volume of rectangular cuboid is [tex]8000\ cm^3[/tex]

Length of cuboid is [tex]4x[/tex]

width of cuboid is [tex]2x[/tex]

Height of cuboid is [tex]x[/tex]

Volume of cuboid is given by

[tex]\Rightarrow \text{Volume}=\text{length}\times \text{width}\times \text{height}[/tex]

[tex]\Rightarrow V=4x\cdot 2x\cdot x\\\Rightarrow 8000=8x^3\\\Rightarrow x^3=1000\\\Rightarrow x=10\ cm[/tex]

Length =40 cm

width =20 cm

Height =10 cm

Answer:

4x² + 22x - 1 = 0

Step-by-step explanation:

The painting is in the form of a rectangle with measurement of 5 feet width and 6 feet length. Let us assume that the frame has a thickness of x feet, hence:

Length of painting and frame = 6 + 2x, breadth of painting and frame = 5 + 2x

Therefore:

Area of painting and frame = length of painting and frame * breadth of painting and frame

Given that the area of painting and frame is 31 ft², substituting gives:

31 = (6 + 2x)(5 + 2x)

31 = 30 + 12x + 10x + 4x²

31 = 30 + 22x + 4x²

4x² + 22x + 30 = 31

4x² + 22x - 1 = 0

Answer:

Step-by-step explanation:

2.9 * 3.14 = 9.11 circumference

660.52 Area

Answer:

x-12≤7

x≤19

Step-by-step explanation:

less than means it comes after

x-12

is at most means less than or equal to

x-12≤7

Add 12 to each side

x-12+12≤7+12

x≤19

Answer:

X - 12 ≤ 7; X ≤ 19

Step-by-step explanation:

Using the keywords less than, at most, and 'a number' we can identify the expression.

Now let's solve for x:

x - 12 ≤ 7

+12      +12

X ≤ 19

Answer:

Answer

4.0/5

58



amna04352

Genius

6.9K answers

39.6M people helped

Answer:

x-less than-or-equal-to 3

Step-by-step explanation:

4x + 6 < 18 (less than or equal to)

4x < 12 (less than or equal to) x < 3 (less than or equal to)

Answer:

x = 10

Step-by-step explanation:

6^2 + 8^2  = x^2

36 + 64 = x^2

100 = x^2

[tex]\sqrt{100} = \sqrt{x^2}[/tex]

x = 10

Answer:

x = 10

Step-by-step explanation:

8² + 6² = x²

64 + 36 = x²

100 = x²

x² = 100

√x² = √100

x = 10

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

3 ÷ x = 6

Step 2: Solve for x

Answer:

Your friend made a mistake when multiplying the coefficients of each term and when adding the exponents of each term.

Correct answer: [tex]\left(12a\right)^{7/10}[/tex]

Step-by-step explanation:

We can use the exponent property [tex]a^b\cdot a^c=a^{(b+c)}[/tex] to solve this problem.

Substituting given values, we get:

[tex]4a^{(\frac{1}{2})}\cdot 3a^{(\frac{1}{5})}=12a^{(\frac{1}{2}+\frac{1}{5})}=12a^{(\frac{5}{10}+\frac{2}{10})}=\boxed{12a^{(\frac{7}{10})}}[/tex]

Answer:

Your friend made the mistake of adding the coefficents and multiplying the exponents (instead of mulitplying the coefficents and adding the exponents)

The correct answer is: [tex]12a^{\frac{7}{10}}[/tex]

Step-by-step explanation:

When mulitiplying exponentials with the same base you mulitply their coefficents and add their exponents.

Your friend made the mistake of adding the coefficents and multiplying the exponents

Answer:

Hello! answer: 96

Step-by-step explanation:

8 × 3 = 24 24 ÷ 2 = 12

5 × 4 = 20

8 × 8 = 64

12 + 20 + 64 = 96

Hope that helps!

Answer:

43 4445 itmean near divide by 5

Answer:

1.6* 2,100,000= 3,360,000

2015-2012= 3

3,360,000*3= 10,080,000

Might be wrong but hope this helped!