What is the original price of the box of cereal?

Answer:

.

Step-by-step explanation:

x^2 + 2x + 8x + 16 = 10x + x^2 (FOIL)

x^2 + 10x + 16 = 10x + x^2 (add like terms)

16 = 0 (10x and x^2 cancel out on both sides)

(x+8)(x+2) is NOT equal to 10x+x^2

Answer:

mol Fe3O4 6.022 x 1023 formula units Fe3O4 = 1.20 x 1024 formula units Fe3O4. 1 mol ... a-How many moles of sodium chloride does the can of salt contain?

Step-by-step explanation:

There are approximately 7.035 moles of NaCl in 4.23 x 10²⁴ formula units of NaCl.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

An expression is 4.23 x 10²⁴

To determine the number of moles of NaCl in 4.23 x 10²⁴ formula units of NaCl:

We need to use Avogadro's number, which is defined as the number of particles (such as atoms, molecules, or ions) in one mole of a substance. Avogadro's number is approximately 6.022 x 10²³ particles per mole.

To convert the given number of formula units of NaCl to moles, we divide by Avogadro's number:

Number of moles of NaCl = (4.23 x 10²⁴ formula units of NaCl) / (6.022 x 10²³ formula units/mol)

Number of moles of NaCl = 7.035 moles (rounded to three decimal places)

Therefore, the required value is 7.035 moles.

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Answer:

(x, y) -------- ( -x,-y)

Rule : Rotation center (0,0) , angle of rotation 180° or -180°

Step-by-step explanation:

The vertices of the object and image have coordinates at ;

D(-4,2), --------D'( 4,-2 ),

E (-1,3), --------E'( 1,-3 ),

F (-1,-3),--------F'(1,3),

G (-3,-4),------G'( 3,4 ),

You notice that after the rotation ;

( x, y )-------change to (-x,-y),

This rule is rotation center origin angle 180°

Answer:

The computer has been on for 1.5 hours

Answer:

107

Step-by-step explanation:

Answer:

c=pie r squared is the equations and the answer is 50.27

Step-by-step explanation:

A; electronic devices are protected from power surges by having insulated wires.

The option that does not state a principle related to why ground wires are an effective safety device is:

A. Electronic devices are protected from power surges by having insulated wires.

Insulated wires protect electronic equipment against power surges, however, this has nothing to do with the usefulness of ground wires as a safety precaution.

The idea of earth wires is to provide a safe conduit for electrical currents to go into the Earth, avoiding harmful electrical potential from building up.

Thus, options B, C, and D all state principles that are directly related to the effectveness of ground wires as a safety device.

Hence, the correct answer is A.

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Answer: After 10 weeks he will run out of money. The ratio is 25:1

Step-by-step explanation:

Answer:

C 4/15 and 0.266 repeating

Step-by-step explanation:

I used a calculator

Answer:

Length = 0

Step-by-step explanation:

The bridge troll is tearing his toe nails up climbing the Empire State Building.

Answer:

d<7

Step-by-step explanation:

Answer: The solution to this is y=10x-4

Step-by-step explanation:

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Answer:

Step-by-step explanation:

As we move along the graph from x = 2 to x = 3 (a change of 1), y decreases from y = 100 to y = 0 (a change of -100).  Thus, the slope of this line is

m = rise / run = -100/1 = -100.

The y-intercept is the point where the graph crosses the y-axis, and is (0, 200).

The equation of this line in slope-intercept form is  y = -100x + 200

Answer:

5

Step-by-step explanation:

when we simplify it we get 5-5+5 which equals 5

Answer:

14,24,40

Step-by-step explanation:

u cute

Answer:25 = 25 Right Triangle. 3, 7 and 9 Squaring each side = 9, 49 and 81. sum of the squares of the short sides = 9 + 49 = 58. 58 < 81 Obtuse Triangle. For determining if the 3 sides can even form a triangle, the triangle inequality theorem states that the longest side must be shorter than the sum of the other 2 sides.

Step-by-step explanation:

Answer:

el ranho de algo que esm ansgwne

Answer:

WN=37.8

Step-by-step explanation:

WN=18%*210

WN=0.18*210

WN=37.8

Answer:

Step-by-step 4explanation:

Answer: B) HI

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

Answer: 4,000

Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)

The options equivalent to the given fraction are:   -11 ÷ 4,  -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]

[tex]-\frac{11}{4}[/tex] is an improper fraction. An improper fraction is a fraction in which the numerator is larger than the denominator.  [tex]\frac{-11}{4}[/tex] can also be written as -11 ÷ 4.

In order to determine the answers, take note of the following rules:

Using the above rules, the equivalent options are:  -11 ÷ 4,  -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]

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The first, second, fourth, and fifth options among all are equivalent to [tex]\frac{-11}{4}[/tex].

These all are forms of division.

The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.

The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.

Hence, the first, second, fourth, and fifth options are correct.

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Answer:A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

y=1/2x-3

Answer: principal value = $500 and rate of interest = 4%.

Step-by-step explanation:

Let P = Principal value, r= rate of interest, t= time.

Formula for simple interest:

Interest = P x r x t

Final amount = P+ interest

= P+Prt

= P(1+rt)

Simple interest amounts to $560 in 3 years.

⇒ 560=  P(1+3r)

[tex]\Rightarrow\ P=\dfrac{560}{1+3r}[/tex]                   (i)

Simple interest amounts to $600 in 5 years.

⇒ 600=  P(1+5r)

[tex]\Rightarrow\ P=\dfrac{600}{1+5r}[/tex]                   (ii)

From (i) and (ii) , we get

[tex]\dfrac{560}{1+3r}=\dfrac{600}{1+5r}\\\\\Rightarrow\ 560(1+5r)=600(1+3)\\\\\Rightarrow\ 560+2800r=600+1800r\\\\\Rightarrow\ 2800r-1800r=600-560\\\\\Rightarrow\ 1000r=40\\\\\Rightarrow\ r=\dfrac{40}{1000}\\\\\Rightarrow\ r= 0.04= 4\%[/tex]

Put r= 0.04 in (ii), we get

[tex]P=\dfrac{600}{1+5(0.04)}\\\\=\dfrac{600}{1+0.2}\\\\=\dfrac{600}{1.2}\\\\=500[/tex]

Hence, principal value = $500 and rate of interest = 4%.

Answer:

P = $183.14

Step-by-step explanation:

Given:

Rate of interest = 5% daily =0.05

Number of year = 14

Balance = $199,000

Computation:

Assume;

Number of days in a year = 365

199,000 = p[1+(0.05/365)]¹⁴⁽³⁶⁵⁾

199,000 = p[1+(0.001369)⁵¹¹⁰

199,000 = p[1086.59]

P = $183.14