teri works as security guard at the local mall. She earns $12 an hour and typically works 40 hours a week and 50 weeks a year. What is teri's gross pay for the year ?

Answer:

1:7

Step-by-step explanation:

There was originally 28 students. Since 4 of them are gone. There are 24 students.
the ratio of students to markers is now:

24:168

Now you have to simplify it by finding the lowest common denominator:

24 and 168 both share 1 so:

24/24 = 1, 168/24 = 7

1:7

Therefore, for every student on that day, there is 7 markers

7 markers per student

The missing values are

for first:  h = 4 cm and capacity = 48 mL,

for second: w = 3.5 cm and capacity = 105mL,

for third: l = 12 cm and V = 720cm³.

The amount of occupied three-dimensional space is measured by volume. It is frequently measured numerically in imperial, such as the gallon, quart, or cubic inch, or in SI-derived units like the cubic meter and liter. Volume and the cubed definition of length are related. The capacity of a container is typically understood to be its volume.

Given for first part;

V = 48 cm³, l = 4 cm and w = 3 cm

V = l × b × h

48 = 4 x 3 x h

h = 48/12

h = 4 cm

and capacity is given by 1cm³ = 1 mL

Capacity for 48 cm³ = 48 mL .

For part two;

V = 105 cm³, l = 10 cm and h = 3 cm

V = l × b × h

105 = 10 x b x 3

b = 105/30

b =  3.5 cm

Capacity = 105mL .

For third part;

capacity = 720 mL so volume will be 720 cm³

V = 720 cm³, w = 12cm and h = 5 cm  

V = l × b × h

720 = l x 12 x 5

l = 720/60

l = 12 cm

Hence  V(cm³)     l(cm)     w(cm)    h(cm)     Capacity(mL)

             48            4          3           3               48

            105           10        3.5         3              105

            720           12         12          5             720

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Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer:

The rate of change of function is: 2

Step-by-step explanation:

Using the given table we have to exclude two pairs of input and output.

The rate of change or slope of function is given as:

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

We take first two pairs of input/output from the table

(x1,y1) = (1,11)

(x2,y2) = (2,13)

Putting the values

\(m = \frac{13-11}{2-1}\\m =\frac{2}{1}\\m = 2\)

Hence,

The rate of change of function is: 2

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = 40\)

\(ab = 12\)

Notice that

\((a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} \)

\((a - b) {}^{2} = {a}^{2} - 2ab + {b}^{2} \)

So

\(2ab = 24\)

\( - 2ab = 24\)

So

\((a + b) {}^{2} = 64\)

\(a + b = 8\)

Also,

\((a - b) {}^{2} = 16\)

\(a - b = 4\)

The equation of a circle is given by the expression

Where (h,k) is the center and r is the radius.

We have 2 points that happen to define the diameter of the circle. In order to obtain the radius we need the distance between those 2 points:

This is the formula to obtain the distance between two points on the plane. We proceed by filling that formula with the information given by the problem

That's the diameter, the radius is D/2

Finally, we need to find the center of the circumference. For this, we need the middle point of the segment that joins the two given points since we know those define a diameter.

The middle point is given by the formula

Using the information of our particular problem, we get

So, the center of the circle is (5,-1)

Finally, we have everything we need to use the first formula in the explanation:

(h,k)=(5,-1) and r=(17)^(1/2)

This last result is the answer to our problem

Answer:

900 kg

Step-by-step explanation:

Let's assume the cost price (C.P.) of sugar is Rs. x per kg.

The total quantity of sugar is 1500 kg.

Let the quantity of sugar sold at 8% profit be represented by y kg.

The quantity of sugar sold at 18% profit would then be (1500 - y) kg.

Using the rule of alligation, we can set up the following proportion:

(8% profit) y kg

-------------- = ------

(18% profit) (1500 - y) kg

Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).

The ratio of these differences is 2:3.

This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.

Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:

(2 kg) * (3/2) = 3 kg

Therefore, the quantity sold at 18% profit is 900 kg.

Answer:

C) 4/5

Step-by-step explanation:

pi/4 = 0.7853981634

\(\frac{\sqrt{3} }{2}\) = 0.8660254038

3/4 = 0.75. It's less than pi/4, so not correct

9/10 = 0.9. It's more than 0.866, so not correct

4/5 = 0.8. It's right for both condition

8/9 = 0.888. It's more than 0.866, so not correct.

Answer:

the second one is the largest

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.

To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:

Step 1: Determine the number of days covered in June.

Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.

Step 2: Calculate the daily rate.

To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:

Daily rate = 6,144 / 365

Step 3: Calculate the amount paid for June.

The amount paid for June can be found by multiplying the daily rate by the number of days covered:

Amount paid for June = Daily rate * Number of days covered in June

Step 4: Calculate the amount paid for the year.

To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):

Amount paid for the year = Daily rate * 365

Now let's perform the calculations:

Step 2: Daily rate

Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)

Step 3: Amount paid for June

Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)

Step 4: Amount paid for the year

Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)

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Step-by-step explanation:

a probability is always desired cases over total possible cases.

so, we have actually 8 systems (5 + 3) we can pick from.

therefore, the total possible cases are 8.

the desired case is in this question to pick one of the 3 Wii consoles.

the probability to pick a Wii is therefore

3/8 = 0.375

Answer:

3/8, or 37.5%

Step-by-step explanation:

There are 8 different playing devices there.

There are only 3 Nintendo Wii consoles.

So, the probability is 3/8

Answer:

Step-by-step explanation:

Where's the line?

Answer: log7 21 /  log7 5

I took one for the team and guessed, and got it right.

You are welcome future students.

The expression that correctly shows how to rewrite the logarithm \(\log_5{21}\), using a logarithm of base 7, with change of base, is given as follows:

\(\frac{\log_7{21}}{\log_7{5}}\)

To change the base of a logarithm, a new fraction is written, in which:

In this problem, the logarithm that will be calculated is:

\(\log_5{21}\)

Hence the number and the base of the logarithm are presented as follows:

With the change of the base to base 7, the numerator and the denominator of the fraction are given as follows:

Hence the simplified logarithm is presented as follows:

\(\frac{\log_7{21}}{\log_7{5}}\)

Meaning that the correct option is the second option.

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Answer:

( a + 2 ) ( x - y )

Step-by-step explanation:

2 ( x - y ) - a ( y - x )

= 2 ( x - y ) + a ( x - y )

= ( 2 + a ) ( x - y )

= ( a + 2 ) ( x - y )

Hence factorised.

Each liter is equivalent to exactly: 4.22675 cups.

I hope this helps!

Answer:

Q1: 3 pages per minute

Step-by-step explanation:

time = 3 minutes

pages = 9 pages

answer = 9 divided by 3 = 3

Answer:

3 pages per minute

1 hour per $5.29

Step-by-step explanation:

9÷3= 3

37÷7= 5.29

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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Answer:

80 deg

Step-by-step explanation:

add up to 180 deg, we can come up with the equation 4x +5x =180. Solving this out shows us that x = 20 and the measure of angle J is 100 deg while the measure of angle M is 80 deg.

The blue figure is moved 5 units to the right (T(5, 0)), reflected in the y-axis (r(y-axis)), and then rotated 90 degrees counterclockwise (R(-90)).

Translation: Move the blue figure 5 units to the right (translation of 5 units to the right, denoted as T(5, 0))

Reflection: Reflect the figure in the y-axis (denoted as r(y-axis))

Rotation: Rotate the figure 90 degrees counterclockwise (denoted as R(-90))

The series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).To better understand this, let's break down the transformations. The first transformation is a translation, which is a movement of a figure from one location to another. In this case, the figure is being moved 5 units to the right. This is denoted as T(5, 0).The second transformation is a reflection, which is a flip of a figure over a line or axis. In this case, the figure is being reflected in the y-axis. This is denoted as r(y-axis).The third transformation is a rotation, which is a turn of a figure around a point. In this case, the figure is being rotated 90 degrees counterclockwise. This is denoted as R(-90).Therefore, the series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).

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Research Report:

Title: The Number of Coins Carried by Teachers

Introduction:

This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.

The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.

Results and Analysis:

A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.

Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.

Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.

Discussion and Interpretation:

The findings suggest that the number of coins carried by teachers is influenced by various factors.

Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.

The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.

The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.

This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.

Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.

Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.

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Answer:

1.8

Step-by-step explanation:

Answer: -1

Step-by-step explanation:

-4-0=-4

2-(-2=4

-4/4=-1

Answer:

12

Step-by-step explanation:

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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The surface area of the cylindrical pottery vase is 177.55 in².

Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,

SA of a cylinder = 2π×radius(h+r)

= 2×3.14×2.15(2.15+11)

= 177.55 in²

Hence, the surface area of the cylindrical pottery vase is 177.55 in².

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