The total wage for full-time workers is 84000$.
What is simplification?Simplifying a value simply means finding it in its most basic form. To simplify the problem, we use a number of approaches, including PEMDAS and BODMAS. Aside from the value, the variables must also be made simpler.
Given, A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff.
The Total wage for the full-time staff = 36000 + 27000 + 21000
The total wage for the full-time staff = 84000
Therefore 84000$ was the wage bill for the 3 full-time staff.
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One minute after it is released, a gas-filled balloon has risen 100 feet. In each succeeding minute, the balloon rises only 50% as far as it rose in the previous minute. How far will the balloon rise in 5 minutes?
Joy Co. allocates overhead expenses to all departments on the basis of floor space (sq. ft.) occupied by each department. This year total overhead expenses were $22,000. Department A. occupied 15,000 sq. ft., Department B. 18,000 sq. ft., and Department C. 9,000 sq. ft. The amount of overhead allocated to Department B is (round to the nearest dollar):
Which of the following equations has a graph that crosses the y-axis at a point lower than y=2x^2-1
A.y=-3x^2+1
B.y=3x^2-3
C.y=-3^2-1
D.y=-3^2+3
At Mei's Printing Company LLC there are two kinds of printing presses: Model A which can print 80 books per day and Model B which can print 30 books per day. The company owns 10 total printing presses and this allows them to print 400 books per day. How many of each type of press do they have?
3x (2•5) + 45= n
What is n???
Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long will it take them if they worked together?
Explain too please, thanks.
How to write 15,409 in word form
the legs of a right triangle are 75 and 100. what is the length of the hypotenuse?
A: 5 square root 5
B: 250
C:125
D: 625
right triangle us pythagorean theorem
a^2 + b^2 = c^2
75^2 + 100^2 = C^2
5625 +10000 = c^2
15625 =c^2
c=Sqrt(15625) = 125
hypotenuse = 125
answer is C
You want to buy an item that costs $100. Which is the most cost-effective choice for buying the item?
Compare prices, consider discounts, and watch for additional costs like shipping. Choose the option with the lowest total expense for buying the $100 item.
To determine the most cost-effective choice for buying the $100 item, you should consider any available discounts, promotions, or deals offered by different sellers or platforms. Here are a few strategies you could consider:
1. **Comparison Shopping**: Check multiple retailers or online platforms to see if the item is available at a lower price elsewhere. Websites and apps dedicated to comparison shopping can help streamline this process.
2. **Discounts and Coupons**: Look for any available discounts or coupons that you can apply to your purchase. Many retailers offer promotional codes or special deals that can help reduce the cost of the item.
3. **Cashback and Rewards**: Some credit cards or loyalty programs offer cashback or rewards points for purchases. If you have a card or program like this, see if you can earn rewards or cashback by buying the item through a specific retailer.
4. **Timing**: Consider timing your purchase to coincide with sales events or promotions, such as Black Friday, Cyber Monday, or seasonal sales. Buying during these periods can often result in significant savings.
5. **Shipping and Handling Costs**: Be mindful of any additional costs associated with shipping and handling. Sometimes, even if the base price of the item seems lower from one seller, the shipping costs may make the overall purchase more expensive.
By comparing prices, looking for discounts, and considering additional costs, you can find the most cost-effective option for purchasing the $100 item.
Complete Question:
Which of these is the most cost effective choice for buying the item using a paid membership card to buy it at a 10 percent discount buying it on line at a 10 percent discount without sales tax?
In your own words explain the place value relationship when the same two digits are next to each other in a multi digit number
In a place value relationships. The relationship between 2
the same digit place next to each other is the value of the number to left is
10 times bigger than to the value to the left and from the decimal point to the
right is 10 times smaller of value than the digit in their right.
Let say for example:
1111
1 thousands, 1 hundreds, 1 tens, and 1 ones.
Let’s start from 1 = 1 x 10 = 10
That would be 10 X 10 = 100
then 100 X 10 = 1000
Notice that their value increase base on its place value if
we multiply the given number by 10.
Another one is
912.98 in where 9 is hundreds, 1 is tens, 2 is ones and after
the decimal points, in where 9 is tenths and 8 is hundredths.
Notice each place value next to each other. Each value is ten
times in difference.
(sum of 50 different whole numbers, each less than 51)-(sum of 45 different whole numbers, each less than 51)is at most
A:10
B:15
C:240
D:285
How can you use the number line in picture it to figure out how many miles Tim travels from home to school
I NEED THIS DONE, PLEASE HELP...
Fill in the blank:
To prove that the medians of an isosceles triangle meet at a point, show that the ____ of a side lies on the line containing the opposite _____ and the point where the other two ____ intersect
If three lines meet at a single point, we say that the lines are concurrent.
Note that median is a line joining one vertex of a triangle with the midpoint of its opposite side.
Draw two medians for the given isosceles triangle.
Now, join the point of intersection of these medians and the third vertex.
If we prove the midpoint of the opposite side lies on this line, then it will be proved that the medians of the given isosceles triangle meet at a point.
Hence, here is the correct statement with blanks filled.
The midpoint of a side lies on the line containing the opposite vertex and the point where the other two medians intersect.
the area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units. True or false?
find k if the lines 3x-5y=9 and 2x+ky=11 are a) parallel and b) perpendicular
a) To find k for parallel lines, equate slopes to get k = -10/3. b) For perpendicular lines, use negative reciprocal slopes to find k = 3/10.
To determine the conditions for parallelism and perpendicularity, we need the slope of each line. The slope-intercept form of a line is y = mx + b where m is the slope.
To find the slope of the first line, we rearrange 3x-5y=9 to the form of y = mx + b, resulting in y = (3/5)x - (9/5). Therefore, the slope is 3/5. For the second line, rearranging 2x+ky=11 gives us y = (-2/k)x + (11/k). The slope of the second line is -2/k.
For the lines to be parallel, their slopes must be equal, so 3/5 = -2/k. Solving for k, we get k = -10/3. For the lines to be perpendicular, the product of their slopes must be -1 (since perpendicular lines have negative reciprocal slopes). This gives us (3/5)(-2/k) = -1, and solving for k yields k = 3/10.
Choose the correct simplification of x to the 2nd power over y to the 5th power all raised to the 4th power. (5 points)
x to the 8th power over y to the 9th power
y12
x12y8
x to the 8th power over y to the 20th power
(sint+cost)^2=
A.) 1
B.) 1+2sint
C.) 1+sin2t
D.) sin(t^2)+cos(t^2)
E.) sin(t^2)+2sintcost+cos(t^2)
The width of a vegetable garden is 3 times it's length.If the length of the garden is 4 1/2 feet,what is the width in simplest form?
3/5b-8=4, step by step plz
Which of the following represents the zeros of f(x) = 4x3 − 13x2 − 37x + 10? 5, −2, −1 over 4 5, −2, 1 over 4 5, 2, −1 over 4 5, 2, 1 over 4
Answer:
The three zeros are 5 , -2 and [tex]\frac{1}{4}[/tex]. The second option is correct.
Step-by-step explanation:
The given polynomial is,
[tex]f(x)=4x^3-13x^2-37x+10[/tex]
Use hit and trial method, Put x=-2
[tex]f(x)=4(-2)^3-13(-2)^2-37(-2)+10=0[/tex]
Since the value of function is 0 at x=-2 therefore (x+2) is a factor of the given polynomial.
Divide the given polynomial by using synthetic division or long division.
[tex]f(x)=(x+2)(4x^2-21x+5)[/tex]
Use grouping method to find the factors,
[tex]f(x)=(x+2)(4x^2-20x-1x+5)[/tex]
[tex]f(x)=(x+2)(4x(x-5)-(x-5))[/tex]
[tex]f(x)=(x+2)(x-5)(4x-1)[/tex]
Equate each factor equal to 0.
[tex]x=-2,5,\frac{1}{4}[/tex]
Therefore, the three zeros are 5 , -2 and [tex]\frac{1}{4}[/tex]. The second option is correct.
Hermina cut a 10" by 15" piece of cardboard down the diagonal
Hermina can calculate the length of the diagonal on her 10" by 15" rectangle of cardboard by using the Pythagorean theorem. The formula states that the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides, the length and the width. Thus, by inputting the values into the formula, we get a diagonal length of about 18.03".
Explanation:The question involves calculating the length of the diagonal on a rectangular piece of cardboard. In mathematics, the Pythagorean theorem is used to calculate the length of a diagonal. In this case, the length and width of the rectangle are given as 10" and 15" respectively. We can apply the theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The diagonal here acts as the hypotenuse, with the other two sides being the length and width of the rectangle. Therefore, the length of the diagonal is the square root of the sum of squares of these sides, which would be sqrt(10^2 + 15^2), resulting in approximately 18.03".
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Plz help any1 plzzzzzzzzzz!!!!!!!!!!!!!!!!!
Subtract the fractions and simplify the answer 13/15 -2 2/3
2 2/3 = 8/3
8/3= 40/15
13/15 - 40/15 = -27/15 = -1 12/15
Ten times the sum of half a number and 6 is 8
A particular car gets fuel mileage of 36 mpg in the city and 12% more on the highway.
What is the car's fuel mileage on the highway?
The car's fuel mileage on the highway is 40.32 mpg, which is 12% more than the 36 mpg it gets in the city.
To determine the car's fuel mileage on the highway, given that it is 12% more than the fuel mileage in the city, we start with the given city mileage of 36 miles per gallon (mpg). We calculate the additional mileage gained on the highway by taking 12% of 36 mpg, which is 0.12 × 36 mpg = 4.32 mpg. Adding this to the city mileage gives the highway mileage:
36 mpg + 4.32 mpg = 40.32 mpg on the highway.
A scatter plot is made with the data shown below: Number of Bakers at a Cake Shop 5 6 7 8 9 10 11 12 13 Number of Cakes Baked 7 7 8 8 9 11 13 14 14 What type of association will the scatter plot for these data represent between the number of bakers at the cake shop and the number of cakes baked? No association Positive linear association Negative linear association Positive nonlinear association
Answer:
positive linear association
hope this helps
Hilary wants to fill a mini cake pan with batter to make a mini cake for Phillip's party. The cake pan is 4.0 inches long, 9.0 inches wide, and 2.2 inches deep. What is the volume of the cake pan?
The volume of the cake pan Hilary wants to use is calculated using the formula for the volume of a rectangular prism. With dimensions of 4.0 inches by 9.0 inches by 2.2 inches, the volume is 79.2 cubic inches.
To find the volume of the cake pan that Hilary wants to use for making a mini cake for Phillip's party, we need to use the formula for the volume of a rectangular prism, which is Volume = length × width ×height. Given the dimensions of the cake pan are 4.0 inches long, 9.0 inches wide, and 2.2 inches deep, we can calculate the volume as follows:
Volume = length × width × height
Volume = 4.0 in× 9.0 in × 2.2 in
Volume = 79.2 in³
Therefore, the volume of the cake pan is 79.2 cubic inches.
A factory used 396.25 pounds of tomatoes to make 6.25 batches of salsa. How many pounds of tomatoes were used in each batch?
Answer:
63.4 pounds of tomatoes were used in each batch
Step-by-step explanation:
A factory used 396.25 pounds of tomatoes to make 6.25 batches of salsa.
Or, In 6.25 batches of salsa 396.25 pounds of tomatoes were used.
In 1 batch of salsa , [tex]\dfrac{396.25}{6.25}[/tex] pounds of tomatoes will be used.
i.e. In 1 batch of salsa , 63.4 pounds of tomatoes will be used.
Hence, 63.4 pounds of tomatoes were used in each batch
What is the verbal expression of 23f
A figure has a vertex at (-1, -3). If the figure has line symmetry about the y-axis, what are the coordinates of another vertex of the figure?
A) (-3, -1)
B) (3, 1)
C) (1, -3)
D) (-1, 3)
Answer:
(1,-3)
Step-by-step explanation:
A figure has a vertex at (-1, -3). If the figure has line symmetry about the y-axis, find the coordinates
When a vertex is reflected over y axis then the value of y remains the same , the x value becomes -x
for (x,y) reflected over line symmetry y axis
(x,y) becomes (-x,y)
So the vertex (-1,-3) becomes (1,-3)