Jack mails 10 packages that each weigh the same amount. If the combined weigh of all 10 package is 67 1/2 pounds, how much does one package weigh? Show your work.​

Answer:

7, 2, -3, -8

Step-by-step explanation:

y = -5x + 2  Substitute in -1 for x

y = -5(-1) + 2

y = 5 + 2

y = 7

y = -5x + 2  Substitute in 0 for x

y = -5(0) + 2

y = 0 + 2

y = 2

y = -5 + 2 substitutes in 1 for x

y = -5(1) + 2

y = -5 + 2

y = -3

y = -5x + 2  Substitute in 2 for x

y = -5(2) + 2

y = -10 + 2

y = -8

Helping in the name of Jesus.

Answer:

There are 455 different  handfuls of 12 jellybeans possible

Step-by-step explanation:

From the given information;

we are told that there exist 50 kinds of jellybean for each of these colors (red, orange, green, yellow)

Also the jellybeans of each color are identical.  

i.e Let say y represent the color of the jellybean.

Then y₁ = y₂ = y₃ = y₄ corresponds to each of these colors (red, orange, green, yellow)

The objective is to determine how many different handfuls of 12 jellybeans are possible?

So;

y₁ + y₂ + y₃ + y₄ = 12

Therefore; the number of different  handfuls of 12 jellybean possible can be computed by using the formula:

\(C(r+k-1,r) = \dfrac{(r+k-1)!}{r! (k-1)!}\)

where;

r =12 jellybeans

k = 4  types of colors

\(C(12+4-1,4) = \dfrac{(12+4-1)!}{12! (4-1)!}\)

\(C(15,4) = \dfrac{15!}{12! (3)!}\)

\(C(15,4) = \dfrac{15\times 14 \times 13 \times 12!}{12! (3)!}\)

\(C(15,4) = \dfrac{15\times 14 \times 13 }{3!}\)

\(C(15,4) = \dfrac{15\times 14 \times 13 }{3 \times 2 \times 1}\)

\(C(15,4) =5\times 7 \times 13\)

\(C(15,4) =455\)

There are 455 different  handfuls of 12 jellybeans possible  

There are \(455\) different handfuls of \(12\) jellybeans that are possible.

Probability is termed as the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen. The probability formula is determined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

Given information are:

There are exist of \(50\) kinds of jellybean of different colors i.e. red, orange, green, yellow.

The jellybeans of each color are identical.

i.e Let say \(y\) represent the color of the jellybean.

Then \(y_1=y_2=y_3=y_4\) corresponds to each of these colors (red, orange, green, yellow)

So,

\(y_1+y_2+y_3+y_4=12\)

Therefore, the number of different handfuls of \(12\) jellybean possible can be computed by using the formula:

\(C\left ( r+k-1,r \right )=\frac{\left (r+k-1 \right )!}{r!\left ( k-1 \right )!}\)

where,

\(r=12\) jellybeans

\(k=4\) types of colors

\(C\left ( 12+4-1,4 \right )=\frac{\left (12+4-1 \right )!}{12!\left ( 4-1 \right )!} \\ C(15,4)=\frac{15!}{12!(3)!} \\ C\left ( 15,4 \right )=\frac{15\times 14\times 13\times 12!}{12!(3!)} \\ C(15,4)=\frac{15\times 14\times 13}{3!} \\ C(15,4)=\frac{15\times 14\times 13}{3\times2\times1} \\ C(15,4)=5\times7\times13 \\ C(15,4)=455\)

So, the possibility are \(455\) different handfuls of \(12\) jellybeans.

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So, the most precise classification of quadrilateral LMNP is a kite.

In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.

Here,

To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.

The distance formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using this formula, we can calculate the length of each side of the quadrilateral as follows:

LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29

MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116

NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29

PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116

Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.

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Answer:

The line '10x-8=10' should be '10x-8=4x+10'

He took 2x away on the right side , as opposed to adding it.

Answer:

Thank you for the point

Step-by-step explanation:

I am just doing this for points Sorry

Answer:

527.52 ft²

Step-by-step explanation:

The surface area of a cylinder is:

\(\displaystyle{2\pi r^2 + 2\pi r h}\)

where r is radius and h is height.

From the attachment, we know that the radius (r) is 7 ft and the height is 5 ft. Therefore:

\(\displaystyle{\text{Surface Area} = 2 \cdot 3.14 \cdot (7)^2 + 2\cdot 3.14 \cdot 7 \cdot 5}\\\\\displaystyle{\text{Surface Area} = 6.28 \cdot 49 + 6.28 \cdot 35}\\\\\displaystyle{\text{Surface Area} = 307.72 + 219.80}\\\\\displaystyle{\text{Surface Area} = 527.52 \ \: \text{ft}^2}\)

Therefore, the surface area of the cylinder is 527.52 ft²

Answer:

4:5:1

Step-by-step explanation:

so first of all the ratio will be 140:70:35 but after we simplify it with 35 we'll get the final simplified ratio which is 4:5:1

Answer:

milliliter

Step-by-step explanation:

Most of nail polish have their measurement in ml

Answer:

Answer is A I believe

Step-by-step explanation:

The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.

Here, sinX/x=sinW/w

sin51°/14=sin16°/w

0.7771/14=sin16°/w

0.7771/14=0.2756/w

0.0555=0.2756/w

w=0.2756/0.0555

w=4.965

w≈5

Therefore, option D is the correct answer.

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Answer:

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

Simplify in below steps:

Answer:

$19.25

Step-by-step explanation:

4/4-1/4=3/4

=3/4×40

=30-5

=25-5.75

=$19.25

We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

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

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Answer:

0.698, 6.9, 9.68, 80.69

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

\(8.2\times \frac{6.7}{0.46}\)

\(\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}\)

\(=\frac{6.7\times \:8.2}{0.46}\)

\(\mathrm{Multiply\:the\:numbers:}\:6.7\times \:8.2=54.94\)

\(=\frac{54.94}{0.46}\)

\(=100\)        (Round to 1 significant number)

Step-by-step explanation

80+80=1660 so we add the number together then agter times then after take away the number and use the nu

No piece of information is supplied to choose from ; However, the requirements for the test statistic of the hypothesis in question is given below.

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis in the question above which is to be tested is a one sample proportion test ;

The test statistic formula for a one sample proportion test is given as :

Test statistic = (Phat - P) / √[P(1 - P) / n] ;

Where;

Phat = sample proportion

P = population proportion

n = sample size

Sample proportion = x / n ;

Therefore, once the parameters (Sample proportion, population proportion and sample size are given) then obtaining the test statistic is possible.

Answer:

it's option 3, 1/10. Hope this helps

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

...................

Answer:

\(16=p\)

Step-by-step explanation:

Equation from problem:

\(4(4)=p\)

Solve:

\(16=p\)

1. PV (option A)

A radius is a line segment that extends from the center of the circle to the exterior.

2. RT (option C)

A tangent is a line that touches the circle at only one point and exists on the outside of the circle.

3. PVU (option A)

A central angle has its vertex at the center of the circle. The two lines which make up the sides of the angle are going to be radii.

Hope this helps!

Answer: 50

Step-by-step explanation:

1 van = 11 campers

Number of vans that will be needed = 550/11

=50

a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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Answer:-3(x - 10)

Step-by-step explanation:1. Add the numbers

9x-18-12x+48

9x+30-12x

2. Combine the terms:

9x+30-12x

9x+30-12x

3. Common factor:

-3x+30

-3(x - 10)

End. Solution:

-3(x - 10)

So yeah basically that's it! Bye!

The linear model for the cost, \(C\), of waste collection as a function of the number of kilograms, \(w\) is  \(C = 4w +70\) .

Given,

The monthly charge for a waste collection service for 100 kg of waste = $470

so, \((x_{1} , y_{1} ) = (100, 470)\)

The monthly charge for a waste collection service for 175 kg of waste = $770

so, \((x_{2} , y_{2} ) = (175, 770)\)

In this question, We are supposed to find a linear model for the cost, C, of waste collection as a function of the number of kilograms, w.

So, we will use two point slope form :

\(y - y_{1} = \frac{y_{2} - y_{1} }{x_{2}- x_{1} } (x-x_{1} )\)

Substitute the values:

\(y - 470 = \frac{770- 470 }{175- 100 } (x-100)\)

\(y - 470 = \frac{300 }{75} (x-100)\)

\(y - 470 = 4 (x-100)\)

\(y - 470 = 4x-400\)

\(y = 4x +70\)

Now, replace \(y\) with C and \(x\) with w

\(C\) \(= 4w +70\)

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Answer: It is a 2:3 Ratio

Answer:

Step-by-step explanation:

Given: AC is angle bisector of <BAD.

=> So, <BAC = <CAD

30° = x-1 °

30 +1 = x

31 = x

Then, X = 31

Hope this helps.. Good luck :)

Answer:

y=1 , z=-2

Step-by-step explanation:

I will use the method of elimination :

Multiply the top equation by 5 to make equation 3 :

35z + 15y = -55

Multiply bottom equation by 3 to make equation 4:

6z + 15y = 3

Subtract equation 3 from equation 4 to eliminate the y :

-29z = 58

Divide both sides by -29 to solve for z :

z = 58 ÷ -29

z = -2

Substitute this value into either equation 1 or 2 to solve for y :  

I chose equation 2 :

2(-2) + 5y = 1

-4 + 5y = 1

Add 4 to both sides :

5y = 5

Divide both sides by 5 :  

y = 1

Hope this helped and have a good day