Diagram 6(b)(i) shows a regular pentagon PQRST and a right-angled triangle RUV. Find the value of x.
Last year at this time we had 250 employees. Due to attrition , we lost 12% of our workforce. How many employees are working now
Answer: There are 220 employees working now.
Step-by-step explanation:
Hi, to answer this question, first, we have to multiply the number of employees by the percentage in decimal form.
12% = 12/100= 0.12 (decimal form)So, mathematically speaking:
250 x 0.12 = 30 employees lessFinally, we subtract the number obtained to the initial number of employees.
250 -30 = 220 employees.There are 220 employees working now.
Feel free to ask for more if needed or if you did not understand something.
Use the graph of f to estimate the local maximum and local minimum. (5 points)
Answer:
Local maximum: (0,1)
Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]
Step-by-step explanation:
To estimate the local maximum and local minimum using graph.
Local maximum: It is largest value of function for all other values of function near by.
Local minimum: It is smallest value of function for all other values of function near by.
A function has two extrema maxima or minima.
Please see the attachment for graph.
In graph highest point only 1, Only one local maximum at x=0
Local maximum: (0,1)
In graph two lowest point at [tex]x=-\pi\text{ and }x=\dfrac{3\pi}{2}[/tex]
Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]
Hence, Local maximum: (0,1) ; Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]
Drag a reason to each box to complete the flowchart proof.
From linear pair postulate, if two angles are in linear pair, then they are supplementary.
Also, the definition of supplementary angles states that the sum of the angles is 180 degrees.
Hence, the correct option is Definition of supplementary angles.
2. AB and DE are parallel. Angle BAC = 30 , angle CDE = 50. What is the measure of angle ACD?
A. 100
B. 90
C. 80
D. 70
E. cannot be determined from the information
84, 99, 88, 82, 95, 85
Myra's test scores are shown. She has one more test for the semester. What is the minimum score that she can make on her last test and have an average greater than 90?
Note: All scores are whole numbers and scores are not rounded
a. 95
b.96
c.97
d.98
Answer:
Option: d is the correct answer.
d. 98
Step-by-step explanation:
The scores of Myra's test are as follows:
84, 99, 88, 82, 95, 85
Let 'x' be the minimum score that is obtained by Myra in the last test so that the average is greater than 90 marks.
i.e.
[tex]\dfrac{84+99+88+82+95+85+x}{7}>90\\\\\\i.e.\\\\\\\dfrac{533+x}{7}>90\\\\\\i.e.\\\\\\533+x=90\times 7\\\\\\533+x>630\\\\\\x>630-533\\\\\\x>97[/tex]
Hence, the minimum score has to be 98.
( Since, the scores are in whole number )
4/9 times 3 in a fraction is??
If a transformation moves points only up or down, how do the coordinates of the point change? What can you conclude about the coordinate nation for the transformation
If Susan subtracts 11 from one-fourth of her number she gets 11
Final answer:
Susan's number is found by solving the equation x/4 - 11 = 11, which after isolating the variable and multiplying both sides by 4 yields the answer x = 88.
Explanation:
If Susan subtracts 11 from one-fourth of her number, she gets 11. To solve this problem, we set up an equation where x represents Susan's number. The one-fourth of her number would be x/4, and subtracting 11 from one-fourth of her number yields: x/4 - 11 = 11.
To find x, we first isolate the variable on one side by adding 11 to both sides of the equation, so we have x/4 = 22. Next, we multiply both sides by 4 to solve for x: x = 22 * 4. Therefore, Susan's number is 88.
How many ounces are in 4 pints
X Y
-2 5
-1 3
0 1
1 -1
2 -3
Find the explicit formula and the type of function
17. A local university accepted 2,300 students out of 4,500 applicants for admission. What was the acceptance rate, expressed as a percent? Show your work.
The acceptance rate of the students is 51.1%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a local university accepted 2,300 students out of 4,500 applicants for admission.
The acceptance rate will be calculated as,
Acceptance rate = ( 2300 x 100 ) /4500
Acceptance rate = 51.1 %
Therefore, the acceptance rate of the students is 51.1%.
To know more about percentages follow
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can 50 go into 100 and 250
yes:
100/50 = 2
250/5 = 5
Lorelle pays someone $35 to clear her driveway when it snows. She wants to buy an electric snow blower for $689 so that she can clear her own driveway. If the area Lorelle lives in has an average of 5.2 snowfalls each season, how many seasons will it take her to break even on what she spends for the snow blower?
It would take 20 sessions to break even on what she spends for the snow blower.
The cost of the snow blower is $689, hence:
Cost = $689
Let x represent the number of sessions, Since $35 is paid to clear the driveway, hence:
Revenue = 35x
At breakeven:
Cost = Revenue
35x = 689
x = 20 (to nearest whole number)
Hence it would take 20 sessions to break even on what she spends for the snow blower.
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3(x+1)^(4/3)=48
how do i solve this?
Solve and find the measurement for angle B
Lines AB and EB share a common point at B therefore we say that these lines
Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to school. If his total trip takes 1 hour, at approximately what speed does Aidan drive home?
17 mph
27 mph
32 mph
56 mph
Answer:
The correct option is 2.
Step-by-step explanation:
The formula form speed is
[tex]speed=\frac{distance}{time}[/tex]
[tex]time=\frac{distance}{speed}[/tex]
It is given that the school is 16 miles from his home. He averages 40 miles per hour on his way to school. Time taken by Aidan to reach school from the home is
[tex]t_1=\frac{16}{40}[/tex]
Let speed at which Aidan drive home be s. Time taken by Aidan to reach home from the school is
[tex]t_2=\frac{16}{s}[/tex]
It is given that his total trip takes 1 hour.
[tex]\frac{16}{40}+\frac{16}{s}=1[/tex]
[tex]\frac{16s+640}{40s}=1[/tex]
[tex]16s+640=40s[/tex]
[tex]640=40s-16s[/tex]
[tex]640=14s[/tex]
Divide both sides by 14.
[tex]\frac{640}{24}=s[/tex]
[tex]s=26.666667[/tex]
[tex]s\approx 27[/tex]
Aidan return with speed about 27 mph Therefore the correct option is 2.
Answer:
B
Step-by-step explanation:
did it on edg
Susan and John are buying cold drinks for a neighborhood picnic. Each person is expected to drink one can of soda. Susan says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to determine the total cost of the soda. John says that if you divide the cost of a 12 pack of soda by the number of sodas, you will determine the total cost of the sodas. Who is right, and why?
Help me asap!!
To the nearest percent, what is the probability of rolling a 4 on the number cube?
6/10 in simplest form
Multiply: 3x4(4x4 − x5 + 2) 7x8 − 3x9 + 6x4
A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide what is the area of the pool
5 1/2 ft equals how many inches
What's the answer? The question is change 425,000 mL to L
3.582x 10(-6) in standard form
When a number x is multiplied by 6, the result is 3/8 . What is the value of x? Drag and drop the correct number into the box so that the equation is true.
5 rubber stamps cost $9.70 Which equation would help determine the cost of 11 rubber stamps?
number of different 5 digit combinations if successive digits msut be different
The permutations formula is applied to determine the number of different 5-digit combinations where successive digits must be different, resulting in a total of 30,240 combinations.
Permutations are used when the order of elements matters. In this case, the number of different 5-digit combinations where successive digits must be different can be calculated using the permutations formula.
Identify that we need to use permutations due to the order of elements being important.Calculate the number of possibilities for each digit decreasing by 1 with each selection. For a 5-digit number, it would be 10 choices for the first digit, 9 for the second, 8 for the third, 7 for the fourth, and 6 for the fifth.Calculate the total number of combinations by multiplying the number of choices for each digit together: 10 x 9 x 8 x 7 x 6 = 30,240.For his parents’ anniversary, Danny spends $5.87 on a photo.He also buys a balloon for $2.49 and a box of strawberries for $4.50. How much money does he spend all together
The total amount of money spent by Danny is [tex]\fbox{\$12.86}[/tex].
Further explanation:
Given:
Danny spends $5.87 on a photo, $2.49 for balloon and $4.50 on strawberries.
Calculation:
Consider the total money spent as [tex]S[/tex], money spends on photo as [tex]x[/tex], money spends on balloons as [tex]y[/tex] and money spend on strawberries as [tex]z[/tex].
Total money spent [tex]S[/tex] is written as the sum of the money spent on photo [tex]x[/tex], balloons [tex]y[/tex] and strawberries [tex]z[/tex] as follows:
[tex]S=x+y+z[/tex] …… (1)
Substitute, 5.87 for [tex]x[/tex], 2.49 for [tex]y[/tex] and 4.50 for [tex]z[/tex] in equation (1) to obtain the total money spent by Danny as follows:
[tex]\begin{aligned}S&=5.87+2.49+4.50\\&=8.36+4.50\\&=12.86\\\end{aligned}[/tex]
Thus, the total amount of money spent by Danny is [tex]\fbox{\$12.86}[/tex].
Learn more:
1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}
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2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12
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3. what are the domain and range of the function f(x) = 3x + 5?
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Answer Details :
Grade: Middle School
Subject: Mathematics
Chapter: linear equation
Keywords:
Money, Danny, anniversary, photo, balloon, strawberries, dollar, spent, x+y+z, function, substitution, direct substitution, elimination, graph, middle term factorization, scientific notation.