Convert the following percent to a decimal: 56 percent.

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 15}}{\left( \cfrac{80}{100} \right)15}\implies 12~\hfill \underset{ decreased }{\stackrel{ 15~~ - ~~12 }{\text{\LARGE 3}}}\)

instantaneous rate of change of the search length 0.1667 seconds per

We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.

Taking the derivative of S(n) with respect to n using the chain rule, we get:

S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n

Evaluating this expression at n=12, we get:

S'(12) = 2/12 = 0.1667 seconds per article

This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.

Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.

know more about rate of change visit

https://brainly.com/question/12786410

#SPJ1

For each case we start by adding the total number of hours, then we count the number of hours worked from Monday to Saturday and check if it is a number over 40, if it is we subtract 40 hours from the total number of hours to get the number of overtime hours. Finally, we consider the number of doubled paid hours.

The amount of fabric used to make the number cube is given as follows:

C. 294 cm².

The amount of fabric used to make the number cube is represented by the surface area of the number cube.

The surface area of a cube of side length a is given by the equation presented as follows:

S = 6a².

The side length for this problem is given as follows:

a = 7 cm.

Hence the surface area of the cube is calculated as follows:

S = 6 x 7²

S = 294 cm².

More can be learned about the surface area of a cube at https://brainly.com/question/26403859

#SPJ1

Answer: 113 ez

Step-by-step explanation: back in my day i used to calculate sum shots

Answer:

A: 9.5s+19.95 is less than or equal to 55

Step-by-step explanation:

She has no more than 55 dollars to spend so it cant be greater than but it can be equal to 55 so the answer is the first option

Answer:

11

Step-by-step explanation:

for each full cup of sugar, you need 3 one-third measuring cups.

we have 3 full cups so 3×3=9

and another 2 for the 2/3, 9+2=11

so a total of 11 scoops

Answer:

The other angle measures are 40 and 40 degrees respectively.

Step-by-step explanation:

100 + 2x = 180

=> 2x = 80

=> x = 40

Since it is isosceles, the two remaining sides are equal, and therefore, they will have equal angles of 40 degrees.

Answer: 14%

Step-by-step explanation: To find the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade, we divide the number of members who meet both criteria (14) by the total number of members (100) and multiply by 100 to get a percentage. Therefore, the probability is approximately 14%.

- Lizzy ˚ʚ♡ɞ˚

Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

The biscuits should be placed 2.54 centimeters apart on the baking tray.

The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.

We are given that;

Elana must roll the dough into 7 inch rounds.

a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:

7 inches x 2.54 centimeters/inch = 17.78 centimeters

So, Elana must roll the dough into 17.78 centimeter rounds.

b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:

1 cup flour = 125 grams flour

1/2 cup sugar = 100 grams sugar

2 teaspoons baking powder = 10 grams baking powder

1 teaspoon salt = 5 grams salt

1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)

So, the rewritten ingredients are:

125 grams flour

100 grams sugar

10 grams baking powder

5 grams salt

120 milliliters cream

c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:

Celsius = (Fahrenheit - 32) x 5/9

So, the temperature in Celsius is:

Celsius = (350 - 32) x 5/9 = 176.67 °C

Therefore, Elana should heat the oven to 176.67 °C.

d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:

1 inch x 2.54 centimeters/inch = 2.54 centimeters

Therefore, by unitary method answer will be 2.54 centimeters.

To learn more about the unitary method, visit;

https://brainly.com/question/23423168

#SPJ9

The angles of the triangle are:

A =  95.7°, B = 33.6°, C = 50.7°.

What are the angles of the triangle?

The area created between two of a triangle's side lengths is known as the angle. Both internal and external angles are present in a triangle. In a triangle, there are three interior angles. When the sides of a triangle are stretched to infinity, exterior angles are created.

Here, we have

Given: a = 9, b= 5, c = 7

We have to find all angles in degrees.

Using law of cosines,  a² = b²+c² - 2bc cos(A),

9² = 5²+7² - 2(5)(7) cos(A)

81 = 25 + 49 - 70 cos(A)

7 = -70 cos(A)

cos(A) = -7/70

cos(A) = -1/10

A = cos⁻¹(-1/10)

A = 95.7°

Now, using the law of sines,  

[sin (A)]/(a) =  [sin (C)]/(c)

[sin (95.7°)]/(9) =  [sin (C)]/(7)

0.9955/9 = sin (C)/(7)

0.7742 = sinC

C = sin⁻¹(0.7742)

C = 50.7°

The sum of all the angles of a triangle= 180°

A + B + C = 180°

95.7° + B + 50.7° =  180°

B = 33.6°

Hence, the angles of the triangle are:

A =  95.7°, B = 33.6°, C = 50.7°.

To learn more about the angles of the triangle from the given link

https://brainly.com/question/25215131

#SPJ1

The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

for such more question on linear equations

https://brainly.com/question/19803308

#SPJ8

Answer:

300-20w=?

150+10w=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

320

Answer:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

7x−5y=−24−9x+5y=187x-5y=-24-9x+5y=18

Answer:

Assuming this is a system of equations...

Point form > (3, 9)

Equation form > x = 3, y = 9

Step-by-step explanation:

So we need to solve for x in 7x - 5y = -24

Add 5y to both sides

7x = -24 + 5y

-9x + 5y = 18

Divide each term by 7

7x/7 = -24/7 + 4y/7

-9x + 5y = 18

x = -24/7 + 5y/7

-9x + 5y = 18

Now we need to replace all occurences of x with -24/7 + 5y/7

-9(-24/7 + 5y/7) + 5y = 18

x = -24/7 + 5y/7

So lets focus on simplifying -9(-24/7 + 5y/7) + 5y

Apply the distributive property

-9(-24/7) - 9 5y/7 + 5y = 18

Now multiply -9(-24/7)

So -1 by -9

9(24/7) - 9 5y/7 + 5y = 18

Combine 9 and 24/7

9 * 24/7 - 9 5y/7 + 5y = 18

Then Multiply 9 by 24

216/7 - 9 5y/7 + 5y = 18

Now we multiply -9 5y/7

So Combine -9 and 5y/7

216/7 + -9(5y)/7 + 5y = 18

Now Multiply 5 by -9

216/7 + -45y/7 + 5y = 18

Move the negative

216/7 - 45y/7 + 5y = 18

Now we need to multiply by 7/7 to make 5y a fraction with a common denom.

216/7 - 45y/7 + 5y * 7/7 = 18

Combine

216/7 + -45y + 5y * 7/7 = 18

Combine further

216 - 45y + 5y * 7/7 = 18

Multiply

216 - 45y + 35y

Add

216 - 10y/7 = 18

Factor 2 out of the equation

2(108) - 10y/7 = 18

Factor more

2(108) + 2(-5y)/7 = 18

Factor further

2(108 - 5y)/7 = 18

Now we want to solve for y in 2(108 - 5y)/7 = 18

Multiply both sides by 7 then simplify.

2(108 - 5y) * 7/7 = 18 * 7

2 * 108 + 2 (-5y) = 18 * 7

Multiply

216 + 2 (-5y) = 18 * 7

Multiply again

216 - 10y = 18 * 7

Reorder 216 and -10y

-10y + 216 = 18 * 7

Simplify the right side

-10y + 216 = 126

Now we need to solve for y

So lets move all terms not containing y to the right side.

-10y = 126 - 216 (Subtract 216 from both sides)

-10y = -90

Divide each term by -10

-10y/-10 = -90/-10

Simplify the left side

-90/10

And the right side

y = 9

x = -24/7 + 5y/7

Now replace y with 9

-24/7 + 5(9)/7

Simplify the right side

-24 + 5(9)/7

Multiply

-24 + 45

Add

21/7

x = 3

Therefore x = 3, y = 9 > (3, 9)

\(\left(\sqrt[3]{-3} \right) \left(\sqrt[3]{-5}\right)\\\\=\left( \sqrt[3]{-1}\right \sqrt[3]{3}) \left(\sqrt[3]{-1} \sqrt[3]{5} \right)\\\\=\sqrt[3]{(-1)(-1)} \cdot \sqrt[3]{(3)(5)}\\\\=\sqrt[3]{1} \cdot \sqrt[3]{15}\\\\=1\cdot \sqrt[3]{15}\\\\=\sqrt[3]{15}\)

Answer:

Step-by-step explanation:

i think you meant whats the probabilty of it being red

if thats what you meant, then it would be:

total number of marbles : 18

number of red marbles: 6

probability of the green marbles: 6/18

so the answer is 1/3

Answer:

The slope is 0.8

Step-by-step explanation:

Given

\((x_1,y_1) = (10,6)\)

\((x_2,y_2) = (4,1.2)\)

Required

The slope (m)

The slope (m) is calculated using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

This gives:

\(m = \frac{1.2 - 6}{4 - 10}\)

\(m = \frac{-4.8}{-6}\)

\(m = 0.8\)

Answer:

112*

Step-by-step explanation:

( 360 - 46 - 90 ) ÷ 2 = 112

Answer:

  f(x) = -x -1

Step-by-step explanation:

You can make the correct choice by seeing which equation works for the first line of the table.

  f(-1) = -(-1) -1 = 0 . . . . . the first equation works

  f(-1) = -(-1) +1 = 2 . . . not zero

  f(-1) = -1 -1 = -2 . . . not zero

  f(-1) = 1 -(-1) = 2 . . . not zero (same as second equation)

Answer:

f (x)= -x-1

Step-by-step explanation:

Answer:

Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day

Step-by-step explanation:

To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.

Let's calculate his average time per day:

Average time per day = Total time / Number of days

Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:

Average time per day = 6 hours / 5

Average time per day = 1.2 hours per day

To convert hours to minutes, we'll multiply the average time per day by 60:

Average time per day = 1.2 hours * 60 minutes

Average time per day = 72 minutes per day

Therefore, Clarence's average time per day is 72 minutes.

Answer:

10

Step-by-step explanation:

Even numbers less than 30 are:

2,4,6,8,10,12,14,16,18,20,22,24,26,28

We know it has two digits so we can cross out:

2,4,6,8

We are left with the last piece of information being that it's total is 10 - none of the remaining numbers add up / total to 10 therefore Spooky's favourite number is 10 !

The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

To learn more about line plot

https://brainly.com/question/16321364

#SPJ8

21

Step-by-step explanation:

m=5n=2

5-2=3

5×2=10

5²-2²=

25-4=21

hope it helps

Answer:

33.33%

Step-by-step explanation:

Number of boys + Number of girls

10+20

30

10/30×100%

33.33%

Answer:

\(21.\bar{3}\)

Step-by-step explanation:

Assuming a constant ratio, we can set up the following proportion:

\(\frac{6}{8}=\frac{16}{m}\).

Cross-multiply to solve:

\(6m=8\cdot 16,\\m=\fbox{$21.\bar{3}$}\)

The total distance between the buildings is 150 meters. In the event a map placed one is to 5000 scales then it projects one unit on the map represents 5000 units in the actual world.

We can apply this ratio to alter the distance on the map to the actual distance between the buildings or objects in the given case that the distance is shown as 3 centimeters then the actual distance in meters is followed 1 centimeter on the map represents 5000 centimeters in the real world.

1 cm on the map = 5000 cm in the actual world

3 cm on the map = (3 x 5000) cm in the actual world
= 15000 cm in the actual world
To alter cm to meters, we need to can apply division by 100 since there are 100 cm in a meter. So, the actual distance between the two buildings is:
15000 cm / 100 = 150 meters
The real distance between the two buildings is 150 meters.
To learn more about the division
https://brainly.com/question/30126004
#SPJ1

b = 3

Step-by-step explanation:

\(4b - 3b + 7 = 10\)

Add similar terms :

\(4b - 3b = b \\ b + 7 = 10\)

Collect like terms and simplify

\(b = 10 - 7 \\ b = 3\)

Answer:

b=3 if i did it correctly. i apologize if it's wrong.