a shipping service restricts the dimensions of the boxes it will ship for a certain type of service. the restriction states that for boxes shaped like rectangular prisms, the sum of the perimeter of the base of the box and the height of the box cannot exceed 130130130 inches. the perimeter of the base is determined using the width and length of the box. if a box has a height of 606060 inches and its length is 2.52.52, point, 5 times the width, which inequality shows the allowable width xxx, in inches, of the box?

To check if two ratios are equivalent, you can divide both ratios by the same number until you reach the same result. For example, if you divide both 1/2 and 3/6 by 2, you will get the same result of 1/3.

To check if two ratios are equivalent, you can divide both ratios by the same number until you reach the same result. For example, if you divide both 1/2 and 3/6 by 2, you will get the same result of 1/3.

1. Take both ratios, 1/2 and 3/6

2. Divide both ratios by the same number, in this case 2.

3. This will give you the equivalent results of 1/3.

4. Therefore, 1/2 is equivalent to 3/6.

To check if two ratios are equivalent, divide both ratios by the same number until you reach . In this case, 1/2 is equivalent to 3/6.

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Answer:

no

Step-by-step explanation:

.63 is different from .603

Using multiplication we know that the correct option in the given situation is (C) 1L for $1.80 which saves $0.30 when compared to (D).

Multiplying numbers is essentially the same as adding groups of numbers.

Multiplying is the process of repeatedly adding a number. (Before we can use the number to multiply, all of the digits must be the same.)

Learning the time's tables makes sense when seen in this light.

A 5 multiplied by 4 results in 20 (5 + 5 + 5 + 5).

We multiplied the number five by four times.

Due to this, multiplication is occasionally referred to as "times."

So, now compare all options with option (D) as follows:

2L for $3.90

(A) 250 mL for $0.50  with (D) 2L for $3.90

0.50*8

$4 for 2L > 2L for $3.90

(B) 500 mL for $1.10  with (D) 2L for $3.90

1.10*4

$4.4 for 2L > 2L for $3.90

(C) 1L for $1.80 with (D) 2L for $3.90

1.80*2

$3.6 for 2L < 2L for $3.90

(Correct option)

Therefore, using multiplication we know that the correct option in the given situation is (C) 1L for $1.80 which saves $0.30 when compared to (D).

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Complete question:
Milk is sold in four sizes. Which is the better buy? 1 point

A. 250 mL for $0.50

B. 500 mL for $1.10

C. 1L for $1.80

D. 2L for $3.90

Answer: x =6 or x =-2

Step-by-step explanation:

|x−2|−7=−3

Step 1: Add 7 to both sides.|x−2|−7+7=−3+7|x−2|=4

Step 2: Solve Absolute Value.|x−2|=4 We know either x−2=4orx−2=−4x−2=4(Possibility 1)x−2+2=4+2(Add 2 to both sides)

x=6

and for other

x−2=−4(Possibility 2)x−2+2=−4+2(Add 2 to both sides)x = -2

No, dividing by 1/2 is not the same as dividing by 2. Dividing by 1/2 means to take a number, and then divide it by 1/2. For example, 8 divided by 1/2 would be 16.

Dividing by 1/2 means to take a number, and then divide it by 1/2. For example, 8 divided by 1/2 would be 16.

Dividing by 2 means to take a number, and then divide it by 2. For example, 8 divided by 2 would be 4.

Dividing by 1/2 involves taking a number and dividing it by one half of itself. For example, if you were to divide the number 8 by 1/2, the result would be sixteen. On the other hand, dividing by 2 means taking a number and dividing it by two. If you were to divide the number 8 by 2, the result would be four. Both operations involve division, but the results are not the same. Dividing by 1/2 involves taking a number, doubling it, and then dividing the result by two, while dividing by 2 involves taking a number and simply dividing it by two. The difference in results can be seen when comparing 8 divided by 1/2, which is 16, and 8 divided by 2, which is 4. Consequently, these two operations are not the same.

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Answer: $6085.15

Step-by-step explanation:

Substituting into the exponential decay formula yields [tex]9250(1-0.051)^8 \approx \$6085.15[/tex].

Answer:

hola buenos skskskskseolelelldd

Step-by-step explanation:

[tex]area = \frac{\pi ({12}^{2}) }{4} - \frac{1}{2} \times {12}^{2} [/tex]

Answer:

Step-by-step explanation:

The height of the Eiffel Tower was halved repeatedly to make a model around 30 cm. We know that 30 cm = 0.3 meters.

We can set up an equation:

324m / 2^n = 0.3m

We can solve for n by logarithm base 2:

n = log(324/0.3) / log(2)

n = log(1080) / log(2)

n ≈ 10.6

The height of the Eiffel Tower was divided by 2^10.6, which is not a whole number.

It means that the height of Eiffel Tower was divided by a number that is between 10 and 11 times by 2.

Answer:

-11 1/2.

Step-by-step explanation:

To solve the equation 25 + x/9 + x = 13 + x/47 - x, we'll start by combining like terms on both sides:

25 + x/9 + x = 13 + x/47 - x

(25 + x) + (x/9 - x/47) = 13

(25 + x) + x * (9/47) = 13

Next, we'll isolate x by subtracting 25 from both sides:

x + x * (9/47) = -12

Finally, we'll isolate x by dividing both sides by 1 + (9/47):

x = -12 / (1 + (9/47)) = -12 / (1 + (9/47)) = -12 / (48/47) = -12 * 47/48

So the solution to the equation is x = -12 * 47/48 = -11 1/2.

The equation and the accompanying justification that describes a line that is parallel to EF is: C. Y = -1/3x + 5 1/3 the slopes are equal.

If two lines are said to be parallel to each other, their equations that is expressed as y = mx + b, will have the same slope value of m. Y = mx + b is the slope-intercept form of any equation that represents a line.

Given that the equation y = -1/3x + 4 represents the line EF, its slope is -1/3. This means the slope of any line that is parallel to y = -1/3x + 4 will be the same as -1/3.

Therefore, the correct justification is: C. Y = -1/3x + 5 1/3 the slopes are equal.

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x + 3y = 70 represents the number of 1-point and 3-point questions in an assignment worth 70 points.

What is algebraic equation ?

An algebraic equation is a mathematical statement that shows that two expressions are equal. It typically consists of a combination of numbers, variables and mathematical operations such as addition, subtraction, multiplication, and division.

The equation that represents the situation where the teacher is creating an assignment worth 70 points and it will consist of questions worth 1 point and questions worth 3 points, where x represents the number of 1-point questions and y represents the number of 3-point questions is:

x + 3y = 70

This equation states that the total number of points, which is the sum of the number of 1-point questions (x) multiplied by 1 and the number of 3-point questions (y) multiplied by 3 is equal to 70.

x + 3y = 70 represents the number of 1-point and 3-point questions in an assignment worth 70 points.

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The value of y in the rectangle is 11.

A rectangle is a quadrilateral with opposite sides equal to each other. The opposite side are also parallel to each other.

The diagonal of a rectangle divides it into two congruent right triangles. The diagonals also bisect each other. The diagonals are congruent.

Therefore, the length BE is equals to length BC.

Hence,

BE = BC

BE = 4y - 26

BC = 3y - 15

Therefore, let's find y in the rectangle.

BE = BC

4y - 26 = 3y - 15

4y - 3y = -15 + 26

y = 11

Therefore,

y = 11

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The required equation in which case the left side is the power of 10 times n and the right side is the result of multiplying 0.1515 by 10 will be' (10)n = 10(0.1515).

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that the equation as;

(10)n=10(0.11515 -n=0.1515

(10)n = 10(0.1515).

n = 0.1515

Therefore, the resulting equation from the subtraction as;

(10n - n) = 10(0.1515) - 0.1515

9n = 9 (0.1515).

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a) Pour déterminer le solde du compte au bout de 3 ans, nous devons utiliser la formule de l'annuité de fin de période. Il y a un total de 3 ans x 12 mois/an = 36 mois de capitalisation. Le taux d'intérêt par mois est de 6%/12 = 0.005. La somme déposée chaque mois est de 100 $. En utilisant la formule, nous pouvons calculer le solde final:

M = (R[(1 + i)^n −1])/i

M = (100 [(1 + 0.005)^36 −1])/0.005 = $51,664.23

b) Pour calculer le total de l'intérêt accumulé, nous pouvons soustraire le montant total des dépôts (100 $ x 36 mois = $3,600) au solde final du compte.

Intérêt accumulé = Solde final du compte - Montant total des dépôts

Intérêt accumulé = $51,664.23 - $3,600 = $48,064.23

En résumé, le solde final du compte après 3 ans est de 51,664.23 $ et l'intérêt accumulé est de 48,064.23 $.

J'espère que cela aide et a été correctement traduit haha

Answer: 72

Step-by-step explanation: (Look at the attachment for the best experience)

First, we need to know how to set up our table. So, sometimes we need to divide and then multiply to find the equivalent ratio. So now we can piece information together to find the missing numbers. So, the far left is the information we are given. So, both of them can be divided by 5 (as the highest) and then we get 2 and 9. Then, since we know that we can multiply 2 by 8 to get 16, we do the same for 9. So, 9 x 8 = 72, making that how many tokens Bora can pay with only 16 dollars. I hope this helped!

Our solution set will be {x | x R, x ≤ 7 5/6}.

What is the solution set?

The solution set for an equation is the collection of all possible solutions to that equation. If an equation has no solutions, the solution set is denoted by the ∅ symbol. ∅ refers to the null set (or empty set).

In our problem it is given:

x - 6 [tex]\frac{1}{3}[/tex] [tex]\leq[/tex]  1[tex]\frac{1}{2}[/tex]

To each side, add 6 1/3.

x [tex]\leq[/tex]  1 [tex]\frac{1}{2}[/tex] + 6 [tex]\frac{1}{3}[/tex]

Change the 1/2 and the 1/3 to a common denominator to add them together.

x [tex]\leq[/tex] 1 [tex]\frac{3}{6}[/tex] +6 [tex]\frac{2}{6}[/tex]

x [tex]\leq[/tex] 7 [tex]\frac{5}{6}[/tex]

Therefore our final solution set will be {x | x ∈ R, x ≤ 7 [tex]\frac{5}{6}[/tex]}.

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Answer: The appropriate hypotheses for this significance test are:

Null hypothesis (H0): The true mean travel time for all students who attend this school is equal to 20 minutes.

Alternative hypothesis (Ha): The true mean travel time for all students who attend this school is greater than 20 minutes.

The null hypothesis states that there is no difference between the claim (20 minutes) and the sample mean (22.4 minutes). The alternative hypothesis states that there is a difference and the sample mean is greater than the claim. The student will use the sample data and a chosen significance level (such as α = 0.05) to decide whether to reject or fail to reject the null hypothesis.

Step-by-step explanation:

On the social and economic structure of the United States, the agricultural tractor had a significant influence.

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The third driver ploughed 2.3 hectors of land, the second driver ploughed 2.3 + 2.4 = 4.7 hectors of land, and the first driver ploughed (4.7)/2 = 2.35 hectors of land.

Let's call the amount of land ploughed by the third driver "x".

The second driver ploughed 2.4 more than the third driver, so they ploughed x + 2.4.

The first driver ploughed half of what the second driver ploughed, so they ploughed (x + 2.4)/2.

In total, the three drivers ploughed x + (x + 2.4) + (x + 2.4)/2 = 3.5x + 4.2 hectors of land.

We know that the total amount of land ploughed is 12.4 hectors, so we can set up an equation:

3.5x + 4.2 = 12.4

Solving for x:

3.5x = 8.2

x = 2.3

So the third driver ploughed 2.3 hectors of land, the second driver ploughed 2.3 + 2.4 = 4.7 hectors of land, and the first driver ploughed (4.7)/2 = 2.35 hectors of land.

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Answer:

8 m

Step-by-step explanation:

Volume of a sphere is V = 4/3 π r³.

Volume of a cylinder is V = π r² h.

The two volumes are equal, so:

4/3 π r³ = π r² h

4/3 r = h

The radius is 6 m, so the height of the cylinder is:

h = 4/3 (6 m)

h = 8 m

Answer:

The height of the cylinder is 8m.

Step-by-step explanation:

Given, the Radius and Volume of the cylinder and sphere are equal.

Radius, r = 6m

Formula,

Volume of the sphere =  [tex]\frac{4}{3}\pi r^{3}[/tex]

Volume of the cylinder = [tex]\pi r^{2}h[/tex]

⇒ Volume of the cyliner =  Volume of Sphere

⇒  [tex]\frac{4}{3}\pi r^{3}[/tex] =    [tex]\pi r^{2}h[/tex]

⇒  [tex]h = \frac{4\pi r^{3} }{3\pi r^{2} }[/tex]

⇒  [tex]h = \frac{4r}{3}[/tex]

⇒  [tex]h = \frac{4 * 6}{3}[/tex]

⇒ h = 8m

Assuming that the company’s claims are true, there is a probability of 0.9824 that the first person to have a college degree is the third person selected at random.

The company claims that 74% of its employees hold college degrees.

Taking the total number of employees as 1,

The probability of employees who do hold a college degree P(3) is 0.74

Therefore, the probability of employees who do not have a college degree is (1-0.74) = 0.26

The probability that the first 2 employees do not have a college degree P(1&2) is 0.26^2

The equation thus turns out to be;

Probability that the 3rd person is the first to hold a college degree = P(1&2)*P(3)= (0.26^2)*0.74= 0.9824

Therefore, the probability that the first person to hold a college degree in the company is the third person chosen at random is 0.9824.

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The value of m ∠ H-F-K, given the value of the corresponding and supplementary angles, is 84 degrees

The angles given of 6 ( x + 2 ) degrees and 8 ( x - 2 ) degrees are complementary and add up to 180 degrees.

The value of these angles is:

6 ( x + 2 ) = 8 ( x - 2 )

6x + 12 = 8x - 16

8x  - 6x = 16 + 12

x = 28 / 2

x = 14

The angle is:

= 8 ( 14 - 2 )

= 8 x 12

= 96 degrees

The value of m ∠ H-F-K will be supplementary to m ∠ H-F-K so the value of m ∠ H-F-K is:

=  (360 - 96 - 96 ) / 2

= 84 degrees

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The exponential equation described that passes through (-1, 1.5), (0, 3), (1, 6) is:

y = 3*(2)^x

A general exponential function can be written as:

y = A*(b)^x

Where A is the initial value and b is the base.

First, we know that the function goes through (0, 3), then we can replace these values to get:

3 = A*(b)^0

3 = A

So we have:

y = 3*(b)^x

We also know that the graph passes through the point (-1, 1.5)

Replacing these values we get:

1.5 = 3*(b)^-1

1.5 = 3/b

b = 3/1.5 = 2

Then the exponential equation described is:

y = 3*(2)^x

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Average annual tuition in 2020 is 14,286.70.

Value is the worth of something in terms of its usefulness, quality, or importance. It is the importance that an individual, group or organization places on something and is an important concept in economics, business and politics. Value can be seen as a measure of how much someone or something is worth, both in terms of money and in terms of intangible qualities, such as respect or admiration. Value is subjective, meaning that it is based on personal opinion and perspective.

Using a graphing calculator, the equation of the line of best fit is y = 96.98x + 11145.46. The slope of the line is 96.98 and the y-intercept is 11145.46.

By substituting x = 15 into the equation, the estimated average annual tuition in 2020 is 14,286.70. This can be rounded to the nearest hundred dollars, giving an estimate of 14,300 dollars.

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Answer:

He needs to sell 157 sandwiches to earn $125

Step-by-step explanation:

●$10.50×6 hrs= $63

●$125 - $63= $62 {So he needs to sell $62 worth of sandwiches}

●$0.40 × 157= $62

pov:《$62 + $63 = $125》

Answer:

155 sandwiches

Step-by-step explanation:

First we see what the base rate is for his six-hour shift. We do this by multiplying 10.50 by 6 which is 63. Then we do 125-63 which is 62. As he gets 42 cents per sandwich so we do 62÷0.40, which equals 155 so he needs to sell 155 sandwiches.

The answer to the word problem is 14 2/3.

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Expressing the word problem into an expression;

2 3/4 x 5 1/3

= 11/4 x 16/3

= 44/3

= 14 2/3

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Answer:

I hope this is right :)..

The exact value of cos I in simplest radical form is 5 /√29

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The exact value of cos I in simplest radical form can be found by using trigonometric ratios.

cos I = adjacent / hypotenuse

The opposite is where the angle I is facing. That is opposite = 2

The hypotenuse is where the right angle is facing. That is hypotenuse = √29

The adjacent is the side left after picking opposite and hypotenuse. That is adjacent = 5

cos I = 5 /√29

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