Jenna bought a package of 2 chicken drumsticks. If the package weighed 0.232 kg, what is the average weight of
each drumstick?

Answers

Answer 1

Answer:

0.116

Step-by-step explanation:

[tex]\frac{0.232}{2}[/tex] = 0.116


Related Questions

Find an equation of line L. Write your answer using fractions or integers.The equation of line L is y =

Answers

Find slope m, in equation y= mx + b

m = Y/X =( y - y')/ (x - x')

m= (5 - -5 )/ (-3 -3) = 10/-6 = -5/3

Now find b

b = y - mx

= 5 - (-5/3)•-3

. = 5 - 5 = 0

b = 0

Then answer is, equation is

y = (-5/3)x

Which statement best describes the growth rates of the functions below?

Answers

ANSWER:

D. the exponential function grows faster than the quadratic function over two intervals; 2 < x ≤ 4

STEP-BY-STEP EXPLANATION:

We can see from the graphs that the growth is the same from 0 to 2 and then the exponential function grows faster, therefore, strictly speaking, the correct answer is D. the exponential function grows faster than the quadratic function over two intervals; 2 < x ≤ 4

In a scale drawing of a rectangularswimming pool, the scale is 2 inch: 4feet. Find the perimeter and area ofthe swimming pool.15 in.3.5 in.

Answers

The given scale is

[tex]2in\colon4ft[/tex]

This means each two inches of the scale represents 4 feet of the actual size (or each inch is equivalent to two feet).

So, if the dimensions of the scale are 15 inches by 3.5 inches, then the actual dimensions would be 30 feet by 7 feet.

The perimeter would be

[tex]P=2(w+l)=2(30+7)=2(37)=74ft[/tex]

The area would be

[tex]A=w\cdot l=30.7=210ft^2[/tex]

Therefore, the perimeter is 74 feet, and the area is 210 square feet.

Neegan paddles a kayak 21 miles upstream in 4.2 hours. The return trip downstream takes him 3 hours. What isthe rate that Neegan paddles in still water? What is the rate of the current?

Answers

System of Equations

When Neegan paddles the kayak upstream, the real rate (speed) is the difference between the rate that Neegan paddles in still water and the rate of the water against his paddling.

When he goes downstream, the real rate is the sum of the rates because the water and Neegan push in the same direction.

He takes 4.2 hours to paddle for 21 miles against the current, so the real rate is 21/4.2 = 5 mi/h

He takes only 3 hours to return, so the real speed is 21 / 3 = 7 mi/h.

Let:

x = rate at which Neegan paddles in still water

y = rate of the current.

We set the system of equations:

x - y = 5

x + y = 7

Adding both equations:

2x = 12

Divide by 2:

x = 6

Substituting in the second equation:

6 + y = 7

Subtracting 6:

y = 1

Neegan paddles at 6 mi/h in still water. The rate of the current is 1 mi/h

(Third choice)

Find the equation of the line with the given properties. Express the equation in general form or slope-intercept form.

Answers

To asnwer this questions we need to remember that two lines are perpendicular if and only if their slopes fullfil:

[tex]m_1m_2=-1[/tex]

Now to find the slope of the line

[tex]-7x+y=43[/tex]

we write it in slope-intercept form y=mx+b:

[tex]\begin{gathered} -7x+y=43 \\ y=7x+43 \end{gathered}[/tex]

from this form we conclude that this line has slope 7.

Now we plug this value in the condition of perpendicularity and solve for the slope of the line we are looking for:

[tex]\begin{gathered} 7m=-1 \\ m=-\frac{1}{7} \end{gathered}[/tex]

Once we hace the slope of the line we are looking for we plug it in the equation of a line that passes through the point (x1,y1) and has slope m:

[tex]y-y_1=m(x-x_1)[/tex]

Plugging the values we know we have that:

[tex]\begin{gathered} y-(-7)=-\frac{1}{7}(x-(-7)) \\ y+7=-\frac{1}{7}(x+7) \\ y+7=-\frac{1}{7}x-1 \\ y=-\frac{1}{7}x-8 \end{gathered}[/tex]

Therefore the equation of the line is:

[tex]y=-\frac{1}{7}x-8[/tex]

Can you please help me

Answers

we have that

the area of parallelogram is equal to

A=b*h

we have

b=14 mm

Find the value of h

tan(60)=h/7 -----> by opposite side divided by the adjacent side

Remember that

[tex]\tan (60^o)=\sqrt[]{3}[/tex]

so

h=7√3 mm

substitute

A=14(7√3 )

A=98√3 mm2

Given g=(1+2a)/a, solve for the variable a.

Answers

We are given the equality

[tex]g=\frac{1+2a}{a}[/tex]

and told to solve for a. That is, we should apply mathematical operations on both sides of the equality so we "isolate" variable a on one side of the equality. We start by multiplying both sides by a, so we get

[tex]a\cdot g=1+2a[/tex]

Now, we subtract 2a from both sides. We get

[tex]a\cdot g-2a=1[/tex]

We can factor on the left side a as a common factor, so we get

[tex]a\cdot(g-2)=1[/tex]

Finally, we divide by (g-2) on both sides, so we get

[tex]a=\frac{1}{g-2}[/tex]

Hi, can you help me answer this question please, thank you!

Answers

1. Test statistic:

To find the test statistic, we use the formula:

[tex]\begin{gathered} Z=\frac{\bar{X_d}-\mu_d}{\frac{s_d}{\sqrt[]{n}}} \\ \text{where,} \\ \bar{X}_d=sample\text{ difference} \\ \mu_d=\text{population difference} \\ s_d=\text{standard deviation of the differences } \\ n=\text{ number of people in the survey.} \\ \\ \text{ We use Z statistic because the number of people are more than 30} \end{gathered}[/tex]

Solving for Z, we have:

[tex]\begin{gathered} \bar{X}-\mu_d=3.1\text{ (Average difference given in the question)} \\ \\ \therefore Z=\frac{3.1}{\frac{13.8}{\sqrt[]{40}}}=1.4207\approx1.421\text{ (To 3 decimal places} \end{gathered}[/tex]

Thus, the test statistic is 1.421

2. P-value:

To find the p-value, we check the Z-distribution table.

The value for the p-value is

[tex]2\times0.077658=0.15532\approx0.1553\text{ (To 4 decimal places)}[/tex]

(We multiply by 2 because it is a two-tailed test.

3. Comparison:

The alpha level is 0.001.

Thus, the p-value is greater than the alpha level

HELP PLEASE!!!!!!!!!!! ILL MARK BRAINLIEST

Answers

the rational number :

-1 ³/₄ is located as point 1

14/8 is located as point 5

1.125  is located as point 6

-0.875 is located as point 4

What is number line ?

Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.

Here,

the rational number -1 ³/₄ is located as point 1, as -1 ³/₄ is greater then -1 and less then -2 on number line and is 3/4 of the gap between -1 and -2.

the rational number 14/8 is located as point 5, as 14/8 is greater then 0 and less then 1 on number line and is 3/4 of the gap between 0 and 1.

the rational number 1.125  is located as point 6, as 1.125 is greater then 1 and less then 2 on number line and is 1/8th  of the gap between 1 and 2.

the rational number -0.875 is located as point 4, as -0.875 is greater then 0 and less then -1 on number line and is 1/8 th of the gap between -1 and 0.

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Ex5: The half-life of a certain radioactive isotope is 1430 years. If 24 grams are present now, howmuch will be present in 500 years?

Answers

[tex]A=A_0\cdot(\frac{1}{2})^{\frac{t}{h}}[/tex]

For the given situation:

[tex]\begin{gathered} A_0=24g \\ h=1430 \\ t=500 \\ \\ A=24(\frac{1}{2})^{\frac{500}{1430}} \\ \\ A=24(\frac{1}{2})^{\frac{50}{143}} \\ \\ A\approx18.83g \end{gathered}[/tex]Then, after 500 years there will be approxiomately 18.83 grams of the radioactive isotope

I need help with this question involving the Cartesian plane will post pic

Answers

The graph of f(x) is a parabola with "arms up"

The vertex of the parabola is (0,-3)

Then we can know all the problem ask us:

increasing: (-3, infinity)

decreasing: (minus infinty, -3)

DNE maximum, beacuase it's arbitrarily large.

The minimum is the vertex: minimum of -3 at x = 0

The domain is all real numbers

The range is [-3, infinity)

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

To know the shape of a parabola you want to look 2 things. The standar formula of a parabola is:

[tex]f(x)=ax^2+b[/tex]

We focus on a and b. Always will be a squared x, but a and b vary. a lot

A tell us if the parabola has it's arms up or down. If is positive, has arms up. If it's negative, arms down.

Also, this isn't something "strictly mathematical" but can tel you is the parabola is thin or fat.

Now b tells us what happends when x=0. If b is positive, the vertex will be "rised up". If b is negative, the vertex will be "pulled down"

When you get relatively confident, you can watch a and b, and based on their sign and how big they are, you can make a really good idea how the graphic is.

All the information the problem ask, you can get it by those numbers.

To know how wide is a parabola, you need to look at a. Let's supose a = 100. This is a very big number, si if I plug in an x, the function will square it and multiply it by 100 right? Then the function will be very thin. For an x very low, the function will be very great. Example: f(x)=100x^2 if I put x = 1 then I have to square it, and multipli it by 100: 1^2*100=100

Now let's copare this with an smaller a. Suppose a =2. Then if I plug x = 1 I get:

[tex]2x^2\text{ at x =1 }\Rightarrow f(1)=2\cdot1^2=2[/tex]

For the same value of x, the first function is 100 and the second 2

Please help me. Will mark most brainliest.
Matthew's Maths mark increased by a factor of 3/2 this term. His new mark is 75%. Use an equation to calculate Matthew's mark last term. ​

Answers

We need to know about scale factor to solve the problem. Matthew's mark last term was 50%.

It is given that Matthew's marks increased by a factor of 3/2 this term. This means that whatever marks Matthew had received in his previous term, it was increased by 3/2 this term. If we consider his original marks to be x, then we can get the increased marks by multiplying x by 3/2. We know that the new marks is 75%, we need to find the value of x.

3x/2=75

x=75x2/3=25x2=50

Therefore the marks Matthew received in the previous term is 50%.

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Mai made $192 for 12 hours of work at the same rate how many hours would she have to work to make $128? Please help

Answers

We were told that Mai made $192 for 12 hours of work. This means that the amount that she made per hour is

192/12 = $16

Given that her constant rate is $16 per hour,

let x = the number of hours would she have to work to make $128. Then, we have the following equations

1 = 16

x = 128

By crossmultiplying, we have

16x = 128

x = 128/16

x = 8

She has to work for 8 hours

What is the factorization of496^4-9

Answers

The given expression is

[tex]496^4-9[/tex]

To factorize this, we find the square root of each term.

[tex]\begin{gathered} \sqrt[]{496^4}=496^2 \\ \sqrt[]{9}=3 \end{gathered}[/tex]

Then, we use the difference of perfect square which states

[tex]a^2-b^2=(a+b)(a-b)[/tex]

So, we have

[tex]496^4-9=(496^2+3)(496^2-3)[/tex]

use accounting principles to find the number of outcomes: How many ways can Mark create a 4-digitcode for his garage door opener?

Answers

To creat a 4 - digit code, we need to consider that for each digit we have 10 options:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9 -----> 10 options for each digit.

Next, we multiply the number of options we have for each digit. In this case, since we need the code to have 4 digits:

[tex]10\times10\times10\times10[/tex]

We multiply 4 times 10.

And the result is:

[tex]10\times10\times10\times10=10,000[/tex]

He has 10,000 ways to create a 4-digit code.

Bryce drew a rectangle and labeled five of the angles, as shown. He knew these factsWHOabout the angles:• The measurements of angles 1 and 3 are the same.The measurement of angle 2 equals 110°.• The measurements of angles 3 and 5 are the same.Part A Based on these facts, what is the sum of the measurements of angle 1and angle 2? Show your work or explain your answer.Part B What is the measurement of angle 4? Show your work or explain your answer.

Answers

The given figure is;

It is given that :

The measurements of angles 1 and 3 are the same.

The measurement of angle 2 equals 110°.

PART A:

Since, angle 1 , 2 and 3 are lie at the same point on the same line

Thus, from the property of angle on a line

Sum of all angles on a strainght line at a point is equal to 180 degree

thus;

Angle1 + Angle2 + Angle 3 = 180

Angle 1 + Angle 2 + Angle1 = 180 {Angle1 = Angle 3, given}

2(Angle 1) + Angle 2 = 180

2 (angle 1) + 110 = 180 {Angle 2 = 110, given}

2(Angle 1) = 180 -110

2(Angle 1) = 70

Angle 1 = 70/2

Angle 1 = 35

Since, angle 2 = 110

The sum of angle 1 and 2 is 110 + 35

Sum of angle 1 and 2 = 145

PART B:

From the properties of the rectangle;

All the angles of a rectangle are 90°

In the given rectangle;

Thus, in the triangle form by the angle3, 4 and the right angle

Sum of all angles in a triangle is equal to 180

Angle 3 + Angle 4 + 90 = 180

35 + Angle 4 + 90 = 180

Angle 4 + 125 = 180

Angle 4 = 180 - 125

Angle 4 = 55

.....

identifies the kind of symmetry the figure has below if any.

Answers

We are asked to identify the types of symmetries found in the given geometrical figure. Let's remember that asymmetry is a transformation that maps the figure onto itself. In this case the object has symmetry under reflections, also has symmetry under rotations around its center

Show exact steps to solve and show the image!Don't mind the pink writing

Answers

1)To construct the line parallel to given line passing through given point, first take a point on the line.

2)Here in the problem that point is Q.

3)Join PQ.

4)After joining PQ, copy the angle made by PQ by constructing the arc MN with steel point of compass on Q. Keep same disttance and get arc M'N' by keeping steel point on P. Then measure length MN on the angle PQR and cut arc by placing steel point on M' and cutting the arc to get point N'.

5) Join PN' and extend till point S.

6) PS is parallel to QR.

one inlet pipe can fill an empty pool in 6 hours and a drain can empty the pool in 15 hours. how long will it take the pipe to fill the pool if the drains left open

Answers

The time that it will take the pipe to fill the pool if the drains left open is 10 hours.

How to calculate the value?

From the information, one inlet pipe can fill an empty pool in 6 hours and a drain can empty the pool in 15 hours.

The information illustrated that the input pipe gills 1/6 if the pool and the drain empties 1/15 in the pool every hour

The required time taken will be:

= 1/6 - 1/15

= 5/30 - 2/30

= 3/30

= 1/10

Therefore, the time taken is 10 hours.

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45. For customers generating their own solar power, ZG&E charges them $3 per month per kilowatt (kWh) for excess electricity they export to the grid. Ready Edison charges customers a flat rate of $20 per month and credits them $0.06 per kWh for excess electricity they export to the grid. Determine the monthly bills for customers of both companies for each of the following:(A) Customer owns a 3-kW system and exports 120 kWh monthly to the grid.(B) Customer owns a 5-kW system and export 300 kWh monthly to the grid.

Answers

(A) The customer that owns a 3-kW system exports 120 kWh monthly to the grid will have the following bills for both companies:

For ZG&E that collects $3 per kWh on a monthly basis, the monthly bill will be

[tex]120kWh\times\frac{\$3}{1kWh}=\$360[/tex]

For Ready Edison that collects $0.06 per kWh exported energy monthly, the computation of bill will be

[tex]\$20+(120kWh\times\frac{\$0.06}{1kWh})=\$27.2[/tex]

(B) The customer that owns a 5-kW system exports 300 kWh monthly to the grid will have the following bills for both companies:

For ZG&E that collects $3 per kWh on a monthly basis, the monthly bill will be

[tex]300kWh\times\frac{\$3}{1kWh}=\$900[/tex]

For Ready Edison that collects $0.06 per kWh exported energy monthly, the computation of bill will be

[tex]\$20+(300kWh\times\frac{\$0.06}{1kWh})=\$38[/tex]

evaluate the function found in the previous step at x= 1

Answers

Given:

[tex]y+\sqrt[]{x}=-3x+(x-6)^2[/tex]

To evaluate the function at x=1, we simplify the given relation first:

[tex]\begin{gathered} y+\sqrt[]{x}=-3x+(x-6)^2 \\ Rearrange \\ y=-\sqrt[]{x}-3x+(x-6)^2 \end{gathered}[/tex]

We let:

y=f(x)

[tex]f(x)=-\sqrt[]{x}-3x+(x-6)^2[/tex]

We plug in x=1 into the above function:

[tex]\begin{gathered} f(x)=-\sqrt[]{x}-3x+(x-6)^2 \\ f(1)=-\sqrt[]{1}-3(1)+(1-6)^2 \\ \text{Simplify} \\ f(1)=-1-3_{}+25 \\ f(1)=21 \end{gathered}[/tex]

Therefore,

[tex]f(1)=21[/tex]

factor the trinomial6x² + 17x + 12

Answers

Answer: The factor of the above function is (2x + 3) (3x + 4)

We are given the below function

[tex]6x^2\text{ + 17x + 12}[/tex]

This function can be factor using factorization method

The co-efficient of x^2 = 6

Multiply 6 by 12 to get the constant of the function

12 x 6 = 72

Next, find the factors of 72

Factors of 72 : 1 and 72, 2 and 36, 6 and 12, 9 and 8, 3 and 24

The only factor that will give us 17 when add and give us 72 when multiply is 8 and 9

The new equation becomes

[tex]\begin{gathered} 6x^2\text{ + 17x + 12} \\ 6x^2\text{ + 8x + 9x + 12} \\ \text{Factor out 2}x \\ 2x(3x\text{ + 4) + 3(3x + 4)} \\ (2x\text{ + 3) (3x + 4)} \end{gathered}[/tex]

The factor of the above function is (2x + 3) (3x + 4)

How can a greatest common factor be separated from an expression

Answers

Answer: divide each term from the original expression (3x3+27x2+9x ) by the GCF (3x), then write it in the parenthesis

Step-by-step explanation:

Answer:

You take it out and place it as a multiple.

Step-by-step explanation:

5x+15

GCF = 5

5(x+3)

Hope that helps

Ben works at a mobile phone store, where he earns a flat $80 for each 8-hour shift. He also earns a commission of $20 for each phone that he sells. If e stands for Ben's earnings and m is the number of mobile phones he sells, which of the following equations describes the amount of money that he earns in one shift?Question 5 options:A) e = m + 80B) e = m + 100C) e = –20m + 80D) e = 20m + 80

Answers

fixed earnings = $80 ( for 8 hour shift)

Number of mobile phones he sells = m

Commision for each mobile phone sold = $20

Amount he earns in 1 shift (e) = flat + number of phones* commision

e = 80 + 20m

e= 20m + 80 (D)

which statement is true?

Answers

This is the graph of the function

The answer is (8,0)

Aaquib can buy 25 liters of regular gasoline for $58.98 or 25 liters of permimum gasoline for 69.73. How much greater is the cost for 1 liter of premimum gasolinz? Round your quotient to nearest hundredth. show your work :)

Answers

The cost for 1 liter of premium gasoline is $0.43 greater than the regular gasoline.

What is Cost?

This is referred to as the total amount of money and resources which are used by companies in other to produce a good or service.

In this scenario, we were given 25 liters of regular gasoline for $58.98 or 25 liters of premium gasoline for $69.73.

Cost per litre of premium gasoline is = $69.73 / 25 = $2.79.

Cost per litre of regular gasoline is = $58.98/ 25 = $2.36.

The difference is however $2.79 - $2.36 = $0.43.

Therefore the cost for 1 liter of premimum gasoline is $0.43 greater than the regular gasoline.

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Determine if u is a solution to 1 - 9u = 19u= -2, 7, 0, 6

Answers

-2

Replace u by -2, and check if the equality remains

1-9u = 19

1-9(-2) = 19

1-(-18)=19

1+18 = 19

19=19

-2 YES

7

1- 9(7) = 19

1-63 = 19

-62=19

NO

0

1-9(0) = 19

1= 19

NO

6

1-9(6) = 19

1-54=19

-53=19

NO

Solve the missing angles by using trig function Answer Choices: A. 57.4B. 53.1

Answers

We can relate an angle x to its opposite leg and its adjacent leg, by means of the trigonometric function tangent of x, like this:

[tex]\tan (x)=\frac{\text{opposite}}{\text{adjacent}}[/tex]

Then we can find the value of the angle by applying the inverse function of tangent, like this:

[tex]x=\tan ^{-1}(\frac{opposite}{adjacent})[/tex]

Let's replace the values from the figure into this equation to find x, like this:

[tex]\begin{gathered} x=\tan ^{-1}(\frac{25}{16}) \\ x\approx57.4 \end{gathered}[/tex]

Then, x equals 57.4°

How many times larger is 3 x 10⁹ than 3 x 10⁷ ?

Answers

Answer:

100 times

Step-by-step explanation:

[tex]\frac{10^{9} }{10^{7} }[/tex]  = [tex]10^{2}[/tex] = 100

When you are dividing exponents with the same bases, you subtract the exponents.

Answer:

3 x 10^9 is larger than 3 x 10^7 by 2,970,000,000

Step-by-step explanation:

Choose the scenarios that demonstrate a proportional relationship for each person's income.
Millie works at a car wash and earns $17.00 per car she washes.
Bryce has a cleaning service and charges $25.00 plus $12.50 per hour.
Carla makes sandwiches at her job and earns $7.85 per hour.
Tino is a waiter and makes $3.98 per hour plus tips.

Answers

The scenarios that demonstrate a proportional relationship for each person's income are :

Millie works at a car wash and earns $17.00 per car she washes.Carla makes sandwiches at her job and earns $7.85 per hour.

Consider the income as y in each scenario

Scenario 1

Millie works at a car wash and earns $17.00 per car she washes.

Consider the number of car she washes as x

y = 17x

y ∝ x

This is a proportional relationship

Scenario 2

Bryce has a cleaning service and charges $25.00 plus $12.50 per hour.

The relationship will be

y = 25 +12.50x

where x is the number of hours

This is not a proportional relationship

Scenario 3

Carla makes sandwiches at her job and earns $7.85 per hour.

The relationship will be

y = 7.85x

y ∝ x

Where x is the number of hours

This is a proportional relationship

Scenario 4

Tino is a waiter and makes $3.98 per hour plus tips.

The relationship will be

y = 3.98x + tips

Where x is the number of hours

This is not a proportional relationship

Hence, the scenarios that demonstrate a proportional relationship for each person's income are

Millie works at a car wash and earns $17.00 per car she washes.Carla makes sandwiches at her job and earns $7.85 per hour.

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