Answer:
1,416 cm²Step-by-step explanation:
There are various lines dividing this figure into shapes, such as rectangles and triangles; this makes it easier to find the area.
To find the area of a triangle, multiply the base and the height, then multiply the product by 1/2.To find the area of a rectangle, multiply the width by the length.First, find the area of the triangles.
In this figure, there are two triangles with heights of 12 and bases of 18.
[tex]12 * 18 = 216[/tex]
Then, multiply the product by 1/2.
[tex]216 * 1/2 = 108[/tex]
There are two triangles, so multiply, the product, 108, by 2.
[tex]108*2 = 216[/tex]
The area of both combined triangles is 216 cm; the area of a single triangle is 108 cm.
Secondly, find the area of the rectangles.
There are two rectangles with widths of 25 and lengths of 15.
[tex]25*15 = 375[/tex]
There are two rectangles, so multiply the product, 375, by 2.
[tex]375*2 = 750[/tex]
The area of both rectangles combined is 750 cm; the area of a single rectangle is 375 cm.
Lastly, we find the area of the rectangle in the middle.
This rectangle has a length of 18 and a width of 25.
18[tex]18*25 = 450[/tex]
The area of this rectangle is 450 cm.
Lastly, add the areas of all the shapes.
[tex]108 + 108 + 375 + 375 + 450 = 1,416.[/tex]
Therefore, the area of this figure is 1,416 cm².
- Find the total tax deductions for each of the following weekly paychecks. weekly pay $198.00 $340.00 $250.00 FICA (7.65%)
Answer:
Total tax deduction per paycheck:
= Weekly pay * FICA tax rate.
Weekly pay $198.00:
= 198 * 7.65%
= 15.147
= $15.15
Weekly pay $340.00:
= 340 * 7.65%
= $26.01
Weekly pay $250.00:
= 250 * 7.65%
= 19.125
= $19.13
Answer:
Deduction for pay check $198 = $15.15
Deduction for pay check $340 = $26.01
Deduction for pay check $250 = $19.13
Step-by-step explanation:
Whats 10% of 23,400?
HELPPP PLEASE REAL FACTUAL ANSWERS
Answer:
2340
Step-by-step explanation:
23,400 divided by 10 is how you find the percentage
Have a good day fam
Please help ! It's timed! (More questions)
Answer:
Q2 : y= -2x+9
Q4: y= 2x+8
Can someone help me out
Please answer!!!Thanks
The swim team trains 4 days every week on monday, tuesday and thursday. The swim team spends 1/2 hours in the gym followed by 1 1/4 hours in the pool. On saturday there is no gym but the swim time is doubled. How many hours per week does the swim team train?
Answer:
6 hours
Step-by-step explanation:
The swim team trains 4 days every week, with 1/2 hour in the gym and 1 1/4 hours in the pool on Monday, Tuesday and Thursday. On Saturday, there is no gym, but the swim time is doubled, so the total swim time is 2 1/2 hours.
Therefore, the total time spent training each week is 6 hours.
1/2 hour in the gym plus 5 1/2 hours in the pool.
Answer: The swim team trains for 7 hours and 45 minutes a week.
Step-by-step explanation:
Since the swim team trains in the gym and the pool (collectively) on Monday, Tuesday and Thursday, subsequently we will be multiplying GYM TIME + POOL TIME, 3 TIMES to get the time taken for training on the three days i.e. 3 ( ½ + 1 ¼ ) and add twice the time taken in pool for Saturday i.e. 2(1 ¼ )
= 3( ½ + 5/4) + 2(5/4)
=31/4
= 7 ¾
Multiply ¾ with 60 as 1 hour = 60 minutes to get the answer in time format.
Firstly, convert mixed fractions into improper ones and find the final answer. Then, convert the final answer into Time format i.e. hours and minutes.
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Mathematics, 17.03.2021 23:50 burners
In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects. Of every student studies at least one of the three subjects. Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.
9514 1404 393
Answer:
10 study all three8 study only math and chemStep-by-step explanation:
1. Adding the numbers of those who study a given subject counts ...
once -- those who study only one subjecttwice -- those who study exactly two subjectsthree times -- those who study all three subject.That total is 40 +48 +44 = 132. When we subtract from this the total number of students, we get 132 -80 = 52, the number who study exactly 2 subjects plus twice the number who study all three.
From this, we can subtract the number who study exactly 2 subjects, leaving twice the number who study all three. 52 -32 = 20. So, 10 students study all three subjects.
__
2. Adding the numbers of those who study physics and another subject, we have 20+24 = 44. Subtracting twice the number who study all three gives the total of those how study only two subjects, one of which is physics. That total is 44 -20 = 24. So, of those 32 who study exactly two subjects, the remaining 32 -24 = 8 must be students who study only math and chemistry.
_____
It may be helpful to see the matrix of equations the problem statement describes. If we use the variables m, p, c, mp, mc, pc, mpc in that order to represent numbers of 1-subject, 2-subject, and 3-subject students, the augmented matrix looks like this.
[tex]\left[\begin{array}{ccccccc|c}1&1&1&1&1&1&1&80\\0&1&0&1&0&1&1&40\\1&0&0&1&1&0&1&48\\0&0&1&0&1&1&1&44\\0&0&0&1&0&0&1&20\\0&0&0&0&0&1&1&24\\0&0&0&1&1&1&0&32\end{array}\right][/tex]
The solution is m=20, p=6, c=12, mp=10, mc=8, pc=14, mpc=10. The bold values are the ones this question is asking about.
You have a budget of $1,900 per week for employees. Employees are paid $11 per hour and work 40 hours per week. Ignore overhead, how many employees can you hire?
You can hire around 173 employees. Here's the calculation: $1,900 / ($11/hour * 40 hours/week) = 173.333..., which rounds down to 173.
How can I find equivalent expressions to the given expression?
Answer:
[tex]\frac{36t^2}{6^t} ~~ Not ~Equivalent[/tex]
[tex]\frac{6t^2}{36^t} ~ ~Equivalent[/tex] ✔︎
[tex]6^{t^2} *36^t ~~ Not~ Equivalent[/tex]
᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄
Hope it helps...
Have a great day!!.
If QR = 8, RS = x + 2, and QS = 6x, what is QS?
Answer:
QS = 12
Step-by-step explanation:
Hello!
We can see that QS is the sum of QR and RS, which is equal to 6x.
We can substitute the given values to solve for x, and then use that to find QS.
Solve for xQS = QR + RS6x = 8 + x + 2 Substitute values6x = 10 + x Combine like terms5x = 10 Subtract xx = 2 Divide by 2The value of x is 2. We can now find QS by substituting 2 for x in 6x.
QS = 12.
Convert 17 yards to feet. Use the rate suggested by the equation 3 feet1 yard.
Answer:
51 ft
Step-by-step explanation:
Answer:
Answer is 51 feet or 51'..........
Can anybody awnser the table for me!!
The table is completed as shown below and total earnings of Lori is found.
What exactly is total earnings of a person?
The wages paid for both regular working hours and other working hours, including extra work or tips are referred to as total earnings.
Consider Tuesday
Hours worked = 4
Base salary = 4 × 7 ( $7 per hour given)
= $28
Tips = 18% of food sales = 0.18 × 300 = $54
Total earnings on Tuesday = 28 + 54 = $82
In the similar way the table can be completed as below.
1) The total earnings of Lori for the week = 82+138.9+218.5+173 = $612.4
2) Total earnings in a year = 52 × 612.4 = $31844.8
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2 points How Did I Do? The cost of renting a car is $42 /week plus $0.25 /mile traveled during that week. An equation to represent the cost would be y=42+0.25x , where x is the number of miles traveled.
The equation to represent the cost of renting the car, given the cost per week and the cost per mile, is y = 42 + 0.25x.
How to formulate the equation ?The total cost of renting the car at any given point, would be:
= Cost to rent per week + ( Cost per mile x Number of miles driven)
If we assume the number of miles driven is denoted by x, then the equation becomes :
= 42 + 0. 25 x
If we further take y to be the total cost, the equation then becomes :
y = 42 + 0. 25 x
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graph f and h , write h in terms of f, describe the transformation from the graph of f to the graph of h .
the equation :
f(x) = x; h(x) = x + 1
Equations go into one of two categories: identities or conditional equations. An identity holds true for each value of the variables. A conditional equation is valid only for certain values of the variables.
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations. For each value of the variables, an identity holds true. Only specific values of the variables make a conditional equation true.
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Question 9 (1 point)
Which of the following has the result as dividing a number by 5/2 and then multiplying by 1/2?
a
b
Multiplying by 2
Dividing by 2
Multiplying by 5
Dividing by 5
Ос
Od
Next Page
Back
Answer:
Dividing by 5
Step-by-step explanation:
Determine if each of the following statements are true or false (HELP!!! ARE MY ANSWERS CORRECT?)
Answer:
yes
Step-by-step explanation:
Aaron had 5/7 as much money as Remus. After Aaron spent 3/5 of his money on a laptop.
Remus had $2820 more than Aaron. How much money did Remus have?
Step-by-step explanation:
let Remus' money be = y
Aaron's = 5/7 y
3/5 * 5/7 y = 3/7 y
balance= 2/7 y
y - 2/7y = 2820
5/7 y= 2820
y = 2820*7/5= 564*7 = 3948
Can y’all help me on question 14?!
Answer:
A. 4
Step-by-step explanation:
3(4)=12
12=12
........
The probability that you get to the bus stop on time is 0.25. The probability that the bus arrives on time is 0.55. What is the probability that you will get to the bus stop on time and the bus arrives on time?
Answer:
It is the case of dependent probability sl i think you need to multiply the two probabilities (not sure)
Find the volume of the
triangular prism.
2.8 cm
9 cm
4.2 cm
The volume of the triangular prism is
cm?
Answer:
52.92
Step-by-step explanation:
1) What is the fitted value when x²= 3
Answer:
x = 1.732051
Step-by-step explanation:
The fitted values when x² = 3 are x = 1.732 or x = - 1.732 .
To find the fitted value when x² = 3, we need to take the square root of both sides of the equation.
√(x²) = √3
Since x² is a positive value, the square root of x² will be the positive and negative square root of 3.
x = ±√3
Therefore, the fitted values when x² = 3 are x = √3 and x = -√3.
√3 = 1.732
x = 1.732 or x = - 1.732
The fitted values when x² = 3 are x = 1.732 or x = - 1.732 .
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help T - T Mhanifa your so gènius at Màth
find the areà of each shaded regiøn
Answer:
#1
12*7 - 3*8 = 60 ft²#2
12*8 - 4*4 = 80 cm²#3
4*4*5 + 4*4 = 96 m²#4
15² - 9² = 144 cm²#5
1/2*6*7 - 2*4 = 13 m²#6
3.14*7² - 3*11 = 120.86 in²Jenny's dog weighs 38 kilograms. There are about 2.2 pounds in 1 kilogram. About how many pounds does Jenny’s dog weigh?
Answer:
83.6 pounds
Step-by-step explanation:
1 kg = 2.2 pounds
38 x 2 = 76
.2 x 38 = 7.6
76 + 7.6 is 83.6
Answer:
83.6 pounds
Step-by-step explanation:
1 kg = 2.2 pounds
38 x 2 = 76
.2 x 38 = 7.6
76 + 7.6 is 83.6
Elijah is the manager for the soccer team. After each practice, he gathers all the soccer balls and places them in the box
shown below. The box has 5 faces and no top.
What is the surface area of the outside of the box?
Don’t answer if you don’t know, and whoever answers correctly will get BRAINLIEST! Have a blessed rest of your day! :)
Answer:
74 ft^2
Step-by-step explanation:
Area of bottom: 4 x 5 = 20
Area of right side: 5 x 3 = 15
Area of left side: 15
Area of front: 4 x 3 = 12
Area of back: 12
Total: 74
Peter, Dan, Harold, and Randy each have a nickel. All four of them flip their nickels at the same time. a. Draw a tree diagram of all the combinations possible when the four boys flip their coins.
You would get something like this. This is because with the first kid, they can get either Heads or Tails, two possibilities.
After this, the second kid can also cause either Heads or Tails but they are building on what the first kid had already done, so four possibilities.
Thsi keeps on multiplying on and on by 2 the more kids who flip a coin.
The probability exists a branch of mathematics in which the events of investigations happening exist estimated.
b) 50% probability that Dan and randy will flip the same thing.
25% of heads and 25% of tails.
What is the classical definition of probability?Probability exists the analysis of the circumstances of event of a result, which exists received by the ratio between favorable cases and possible cases.
b) 50% probability that Dan and randy will flip the same thing.
25% of heads and 25% of tails.
Complete question:
Peter, Dan, Harold, and Randy each have a nickel. All four of them flip their nickels at the same time.
a. Draw a tree diagram of all the combinations possible when the four boys flip their coins.
b. What is the probability that Dan and Randy will each flip the same thing. (Either they will both flip 'heads' or they will both flip 'tails'.)
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Please solve the ques below:
Answer:
510 miles
Step-by-step explanation:
A B
Rate 80 120
Time x x - 2
Distance
Distance = rate x time
A's distance
d = 80x
B's distance
d = 120(x -2)
The distances equal each other when B catches up to A. Set the equations equal to each other and solve for the time
80x = 120(x -2) Distribute the 120
80x = 120x - 240 Subtract 120x from both sides
-40x = -240 Divide both sides by -40
x = 6
After 6 hours, B caught up with A. Substitute 6 for t and find the distance. You can use A or B.
d= 80x
d = 80(6)
d = 480
We need to add another 30 miles to get to the next town.
480 + 30 = 510
. Darlene is making punch. She pours 4 quarts 2 cups of apple juice into a bowl. Then she pours 3 quarts 1 cup of grape juice into the bowl. How much juice is in the bowl now? A 1 quart 1 cup B 7 quarts 1 cup © 7 quarts 3 cups D 8 quarts 1 cup
Answer:
C. 7 quarts 3 cups
Step-by-step explanation:
First you add 4 quarts, with 3 quarts to get 7 quarts. Then, you add 1 cup with 2 cups to get 3 cups.
Step-by-step explanation:
7 quarts 3 cups..........
evaluate 7 to the 3rd power x 7 to the 3rd power
Answer:117649
Step-by-step explanation:
Which of these contexts describes a situation that is impossible?
Rolling a number less than 1 on a standard six-sided die, numbered
from 1 to 6,
Spinning a spinner divided into four equal-sized sections colored
red/green/yellow/blue and landing on some color,
Winning a raffle that sold a total of 100 tickets if you bought 50 tickets,
Reaching into a bag full of 15 strawberry chews and 5 cherry chews
without looking and pulling out a strawberry or a cherry chew.
Rolling a number less than 1 on a standard six-sided die, numbered
from 1 to 6 is an impossible situation.
What is a sure event?Suppose we have a coin with sides heads and tails then the occurrence of a head or a tail is a sure event.
If we observe the given options we can conclude that Rolling a number less than 1 on a standard six-sided die, numbered from 1 to 6 is an impossible situation as we couldn't get a number less than 1 on the die not possible right?
All the other options seem possible in some different ways but the first option is an impossible situation.
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What is the image of the point (0,4) after a rotation of 180 degrees counterclockwise about the origin?
The image point of (0, 4) is (0, -4).
What is Cartesian plane?The intersection of the x- and y-axes creates the two-dimensional coordinate plane known as the cartesian plane. The origin is the point at where the x- and y-axes cross perpendicularly.
The Cartesian coordinate point (x, y) indicates that the distance from the origin is x in the horizontal direction and y in the vertical direction. The point is to the right of the origin if the sign of x is positive; otherwise, it is to the left.
Given points (0, 4)
to find image of the point (0,4) after a rotation of 180 degrees,
The initial coordinates (x, y) of a point become when we rotate it by 180 degrees around the origin (-x, -y).
So,
-0 is just 0 (since 0 is both negative and positive)
-(4) is -4
This makes our new point (0, -5).
Hence the image of point is (0, -4).
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13 cm
L
5 cm
Calculate the perimeter
Answer:
36
Step-by-step explanation:
permeter is solved by doing length+length+width+width so therefore you would do 13+13+5+5 which equals 36 as your answer