A breakfast cereal comes in two different sized packages. The 8-ounce box costs $2.88 while the 12-ounce box costs $3.60. Which is the better buy? How much does the better buy cost per ounce?

Answer:

80%

Step-by-step explanation:

Calculation for what was Carol's percentage score on the test

Using this formula

Percentage score on the test=Answered questions/Numbers of questions *100

Let plug in the formula

Percentage score on the test=16/20*100

Percentage score on the test=0.80*100

Percentage score on the test=80%

Therefore Carol's percentage score on the test will be 80%

An airplane travels 500 miles an hour then it will take 8 hours to travel 4.000 miles.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

An airplane travels 500 miles an hour. We need to find how long it will take to travel 4.000 miles.

We know that

Let t be the time taken by an airplane to travel 4000 miles.

An airplane traveled 500 miles = 1 hour

An airplane traveled in 1 mile = 1/ 500

An airplane traveled in 4000 miles = 4000/500              

                                                             = 8 hour

Thus, It will take the airplane 8 hours to travel 4,000 miles.

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9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

The sides in order from smallest to largest are ...

  AC, BC, AB

Then the opposite angles in order from smallest to largest are ...

  B, A, C

Let's consider the choices:

A. m∠A < m∠C --- true

B. m∠B = m∠C --- true

C. m∠A < m∠B --- false

D. m∠B < m∠A < m∠C --- true

The equation 61 * 61 * 61 = (** 61 *)^2 can be replaced with 0 through 9 in various ways for the decimal equation to be correct.

In this equation, we have three instances of the number 61 being multiplied together on the left-hand side, and on the right-hand side, we have a square of a number that contains two unknown digits. We need to determine the values of these unknown digits (represented by the stars) by replacing them with digits from 0 to 9, such that the equation holds true.

To find the possible combinations, we can start by calculating the left-hand side of the equation. 61 * 61 * 61 equals 226,981. Now, we need to find two-digit numbers whose square is equal to 226,981. By taking the square root of 226,981, we find that it is approximately 476.383.

Since the square of the number on the right-hand side should be equal to 226,981, the two digits represented by the stars must be 7 and 6 in some order. Therefore, the equation can be written as 61 * 61 * 61 = (7*61 + 6)^2 or as 61 * 61 * 61 = (6*61 + 7)^2, depending on the order of the digits.

By replacing the stars with 7 and 6 in either order, we find a valid solution for the equation. It is important to note that there might be other combinations that satisfy the equation as well, but the specific values of the stars being 7 and 6 are valid options.

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Answer:

√3 - 1

Step-by-step explanation:

(1+√3)(2-√3)=2-√3+2√3-3=√3 - 1

Answer:

\(-1+\sqrt{3}\)

Step-by-step explanation:

\((1+\sqrt{3} )(2-\sqrt{3} )\)

\(2-\sqrt{3} +2\sqrt{3} -3\)

\(-1+\sqrt{3}\)

Answer:

1) 13

2) 1

Step-by-step explanation:

1) you add the e amount of people that went to the store 3 and 5 times because those are all more than 2.

2) 1 has the lowest number on the amount of landings.

Ths question is not complete but I will try my best to guide you through it so you can answer it. So what the question is asking you to do is that you have to plug in the coordinates into the equation. I don't want to give you an incorrect answer so I will explain it and you can do it yourself with the full question. First use the second equation as it is a full equation with an equal sign. Once plugged in you can find that c and d do not make the second equation true. A and B both complete the second equation. This means that either A or B is the answer. Since the first equation does not have an equal sign meaning it is not complete I can not answer it and I am sorry. But I have cut the answer down for you to A and B. If this answer helped you in the slightest please check out my channel The Game Rater. Thank you and I appreciate it.

The percentage increase when the birds increased from 430000 to 990000 is 130%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

to calculate the percentage:

From the information, approximately 430,000 birds were killed by wind turbines in a given country it’s estimated that this number will increase to 990,000 per year in ten years.

Therefore, the percentage increase will be:

= (990000 - 430000) ÷ 430000 × 100

= 560000 / 430000 × 100

= 130%

Therefore, it should be noted that the percentage increase when the birds increased from 430000 to 990000 is 130%.

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\(\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70\)

Answer:

74 wheels

Step-by-step explanation:

there would be 74 wheels because 13 * 2 + 12 * 4 = 74

Answer:

Step-by-step explanation:

A = {2,8,10,14}

B= {6,8,20}

C={8,18,20,24}

A ∩ B --> intersection means elements that  are in both sets A & B

A ∩ B = {8}

A∩ C =  {8}

B ∩ C = {8 , 20}

A∩B ∩ C = {8}

First blue box = { 2,10, 14}

Second blue box = {18, 24}

First green box = { 8}

Second green box = { 20}

b) A ∩ B = {8}

n [ A ∩ B] = 1

Probability of the number to be a member of A∩B =  1 / 25

Answer:

So, both the functions are neither even and nor odd.

Step-by-step explanation:

A function is even if g(x) = g(-x) and odd if g(x) = - g(x).

g(x) = |x-3|

g (-x ) = | -x -3 |

So, the function is neither even and nor odd.

g (x) = x + x²

g (- x) = (- x) + (- x) ² = -  x + x²

So, the function is neither even and nor odd.

Answer:

Yes, Nevin scored 96 points.

Step-by-step explanation:

\((58 \times 1.75) - (22 \times .25)\)

\(101.5 - 5.5 = 96\)

The true solutions are" The value of W cannot be a negative number ", "substitution is used to replace the variable l with a value of 20"  and " the subtraction property of equality is used to isolate the term with the variable W

Given that Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet .she writes and solves the equation 2l+2w=62 to find the width of the run and asked what are the true solutions

⇒2l+2w= 62

⇒2w+2(20)=62  ( given the length to run is 20 feet)

⇒2w= 62-40

⇒2w=22

⇒w=11

The value of w is 11 feet .so, 1st statement is false and statement 2 is also false. 11 feet is not a negative number so, the 3rd statement is correct. given the length to run is 20 feet, substitution is used to replace the variable l with a value of 20 i.e. 4th statement is correct. To find the value of w, used subtraction property i.e. 4th statement is also correct

Hence, The true solutions are" The value of W cannot be a negative number ", "substitution is used to replace the variable l with a value of 20"  and " the subtraction property of equality is used to isolate the term with the variable W "

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David's method to find the height of the tree is the use of the properties of similar triangles. The height of the tree is approximately 24 feet

According to the laws of reflection, we have;

Angle of incidence of the light from the top of the tree = Angle of the reflected light ray David sees.

The possible values in the question are;

Distance of the mirror from the tree = 37 feet

Distance from where David is standing to the mirror = 9.3 ft.

Height of his eyes above the ground = 6 ft.

Required: Height of Tree

Therefore;

The triangle formed by David's height, the reflected ray from the mirror and his distance from the mirror is similar to the right triangle formed by the tree, which by the relationship of similar triangles, gives;

\(\frac{9.3}{37}\) = \(\frac{6}{Height of the Tree}\)

Height of the tree × 9.3 = 6 × 37

Height of the tree = \(\frac{6 X 37}{9.3}\) = 23.87 ≅ 24 feet

Therefore, the tree is approximately 24 feet tall

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Spanish playing cards have four suits: coins, cups, swords, and clubs, with each suit representing a different aspect of life, and consisting of ten numbered cards and three court cards.

Spanish playing cards traditionally have four suits: coins, cups, swords, and clubs. These suits are similar to the suits found in Italian and Latin American playing cards, but different from the suits found in French and German playing cards. The coins suit represents wealth and commerce, the cups suit represents love and pleasure, the swords suit represents warfare and justice, and the clubs suit represents agriculture and prosperity. Each suit typically contains ten numbered cards and three court cards: the knight, the queen, and the king.

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Answer:

x=3, y= -6

Step-by-step explanation:

make 4+y= -x as equation (1) and make y=2x-10 as equation (2, then you must find a third equation either from equation (1)or (2). If you choose to find equation (3) from (2) it will be y=2x-10 , then substitute equation (3) from (1) because you can't choose (2) , then it will be 4+(2x-10)= -x

the answer will be x =2

substitute x from equation (3)

y=2x-10

y=2 (2)-10

y= -6

The algebraic property that could be used to rewrite 4x + 2y as 2y + 4x is option C: Commutative Property of Addition.

From the question. if   a, b and c are any numbers,

Based on Associative Property of Addition, it state that:

a + ( b + c ) = ( a + b ) + c

Based on Associative Property of Multiplication, it state that:

a(bc) = (ab)c

Based on Commutative Property of Addition it state that:

a + b = b + a

Based on Commutative Property of Multiplication it state that:

ab = ba

Note that , 4x + 2y = 2y + 4x

So, Commutative Property of Addition is used in the expression.

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See text below

Which algebraic property could be used to rewrite 4x + 2y as 2y + 4x? A. Associative Property of Addition

B. Associative Property of Multiplication

C. Commutative Property of Addition

D. Commutative Property of Multiplication

Answer:

795

Step-by-step explanation:

First, we find the circumference of 1 ring.

c = 2πr

c = 2 × 3.14159 × 8.4 mm

c = 52.7787 mm

The circumference of 1 ring is the length of spooled gold used for 1 ring.

The spool has a total length of 42 m.

42 m × 1000 mm / 1 m = 42,000 mm

The spool has a total length of 42,000 mm.

Now we divide the length of the spool by the length of 1 ring.

42,000 mm / 52.7787 mm = 795.78

He can make 795 rings.

Answer/Step-by-step explanation:

Travis =Divide 12/0.75 = 16

Heidi = Divide 11/0.8=13.75

16-13.75=2.25

Hence, Heidi Drove faster and faster by 2.25

Answer: Travis, he rode 9 miles

Step-by-step explanation: This was my answer on my end.

Answer:

D

Step-by-step explanation:

Put  m+2  in place of 'x'

   (m+2)^2 + 1               <======expand

   m^2 + 4m + 4       + 1   =

   m^2   + 4m + 5

Answer:

1240.59

Step-by-step explanation:

V=pi r^2 h/3

V=3.14*8^2*(18.52/3)

V=3.14*64*6.17333333...

V=1240.59

Azimuth is the angular rotation from due north about the down-axis (in NED coordinates).

with north defined as 0° azimuth and east defined as 90° azimuth. In PRN 27 (Pseudo-Random Noise), the Line of Sight (LOS) vector in NED (North, East, Down) is given by LOSNED = [-4273319.92587693, -14372712.773362, -15700751.0230446].In order to find the azimuth angle in degrees, the mathematical formula for calculating the azimuth angle for a point in NED coordinates should be used.

The angle that the LOS vector creates in the NED frame is the azimuth angle of the satellite. The angle that the LOS vector makes with respect to the North is the azimuth angle.

Using the formula `θ = atan2(East, North)` the Azimuth angle can be calculated. Here the LOS vector can be considered in terms of its North, East, and Down components, represented as LOSNED = [N, E, D].Then the azimuth angle in degrees can be calculated by using the formulaθ = atan2(E, N)where θ is the azimuth angle, E is the East component of the LOSNED vector and N is the North component of the LOSNED vector.

θ = atan2(-14372712.773362, -4273319.92587693) = -109.702°Since this value is negative, it means that the satellite is located west of the observer. Therefore, the satellite is located 109.702° west of true north.Moreover, the north component of the line of sight vector in NED coordinates is -4273319.92587693, the east component is -14372712.773362, and the down component is -15700751.0230446.

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If a linear system has more unknown equations then it must have infinitely many solutions, which is true.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If there is only one equation with more than one parameter, then the number of the solution will be infinite.

If a linear system has more unknown equations then it must have infinitely many solutions, which is true.

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The expression cos (125°) - cos 55° cos 35° cos 55° can be written as cos (55°) + cos (55°) cos (35°) cos (55°).

cos (125°) can be rewritten as cos (180° - 125°). Similarly, cos (35°) can be rewritten as cos (180° - 35°). Therefore, the expression can be written as:

cos (180° - 125°) - cos (55°) cos (180° - 35°) cos (55°)

Simplifying further, we have:

cos (55°) - cos (55°) cos (145°) cos (55°)

Since 145° is the supplement of 35°, we can rewrite it as:

cos (55°) - cos (55°) cos (180° - 35°) cos (55°)

Now, cos (180° - 35°) is equal to -cos (35°). Therefore, the expression becomes:

cos (55°) + cos (55°) cos (35°) cos (55°)

Hence, the expression as a function of an acute angle is:

cos (55°) + cos (55°) cos (35°) cos (55°)

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The linking number of the curves a(t) and B(t) is equal to 'n' because the curve B(t) forms 'n' loops in the z-direction, and for each loop, the curve a(t) passes through it once.

Using Gauss's formula and a computer algebra system, the linking number can be computed by integrating the dot product of the tangent vectors along a closed surface enclosing both curves, providing numerical support for the linking number being 'n'.

The linking number of the two curves, a(t) and B(t), is equal to 'n'. This can be explained from the definition of the linking number, which measures how many times one curve wraps around another curve. In this case, the curve B(t) has a periodic oscillation along the z-axis due to the presence of sin(nt). This oscillation creates 'n' loops in the z-direction as t varies from 0 to 27. On the other hand, the curve a(t) remains in the x-y plane and does not cross the z-axis. As a result, for each loop created by B(t), the curve a(t) will pass through it once. Therefore, since there are 'n' loops in B(t), the linking number between the two curves is 'n'.

To support this answer using a computer algebra system, we can calculate the linking number using Gauss's formula (Equation 4.8). Gauss's formula involves integrating the dot product of the tangent vectors of the two curves along a closed surface that encloses both curves. By computing this integral, we can obtain the linking number. The specific details of the computation depend on the value of 'n' in the given curves, and the use of a computer algebra system would allow for the evaluation of the integral and provide a numerical result that confirms the linking number as 'n'. This computational approach is advantageous for complex curves where direct calculation of the linking number may be challenging.

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Answer:

(1) x= −1 /2 y+ 5 /2

(2) x= −1 /2 y−2

Step-by-step explanation:

(1) 2x+y=5

Step 1: Add -y to both sides.

2x+y+−y=5+−y

2x=−y+5

Step 2: Divide both sides by 2.

2x /2 = (−y+5)/2  

x= −1 /2 y+ 5 /2

(2) Step 1: Flip the equation.

−2x−4=y

Step 2: Add 4 to both sides.

−2x−4+4=y+4

−2x=y+4

Step 3: Divide both sides by -2.

−2x /−2 = (y+4) /−2

x= −1 /2 y−2

The conversion 336g to m³ is impossible because they measure different units

From the question, we have the following parameters that can be used in our computation:

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

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