Answer:
Yes, the sides 7cm, 24cm and 25cm form a right angle triangle.
This is because the sides of a right angle triangle must follow the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 7cm and 24cm are the two legs and 25cm is the hypotenuse.
Step-by-step explanation:
2(5x-3)=24 what is x
Answer: x=3
Step-by-step explanation: So let’s first simplify, 2(5x-3)=24, which we can make, 10x-6=24. Now, to find the value of x, we will all 6 on both sides, so, 10x-6+6=24+6. This will simplify out into 10x=30, so now we divided 10 on each side - 10x/10=30/10. And we will get x=3
Answer:
x = 3
Step-by-step explanation:
2 (5x - 3) = 24
10x - 6 = 24
10x = 30
x = 3
(3x³x+4) /(x − 2)
Help
Answer:
3x^4 + 4 / x - 2
Step-by-step explanation:
(3x³x+4) /(x − 2)
3(x ⋅ x^3) + 4 / x - 2
3x^4 + 4 / x - 2
We can't simplify anymore, so the answer is 3x^4 + 4 / x - 2
What is the quotient of 15 divided by -3?
Answer:
Step-by-step explanation:
take -5 and times it by -3 and it will equal a positive 15
so its -5
Dylan opened a credit card account with $625.00 of available credit. Now that he has made some purchases, Dylan's account only has $493.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
The answer is 21%
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: Dylan opened a credit card account with $625.00 of available credit. Now that he has made some purchases, Dylan's account only has $493.75 of available credit.
Thus change in amount is 625-493.75=131.25
percentage change = 131.25/625 × 100
= 21%
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What are 4 ways to increase profit?
There are 4 ways to increase profit: Cost-cutting, increased turnover, productivity gains, and efficiency gains are among them.
What causes profit to increase?Businesses can raise revenues by selling more products or services, raising pricing, or some combination of these to enhance net margin. By lowering expenses, businesses may boost their net margin (e.g., finding cheaper sources for raw materials).
Developing and securing healthy revenues depends on strong customer connections. Customers should be matched to relationships, relationship migration pathways should be established to further integrate major accounts, and marketing should take the lead in all of these areas. Relationships should range from arm's length to deeply integrated.
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What is the book entitled "applied regression analysis and other multivariable methods" about?
Answer:This bestseller will help you learn regression-analysis methods that you can apply to real-life problems. It highlights the role of the computer in contemporary statistics with numerous printouts and exercises that you can solve using the computer.
Step-by-step explanation:
After a 25% discount, the price of a T-shirt was $12. What
was the price before the discount?
Answer: $15
Step-by-step explanation: 1.25 X 12 = 15
Answer:
The price before the discount is $ 16
Step-by-step explanation:
Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 by washing
5 cars and vacuuming 4 cars. Byron raised $28 by washing 4 cars and vacuuming 2 cars. Find the amount they
charged to wash a car and vacuum a car.
Answer:
Step-by-step explanation:
Let x = amount charged for washing a car
y = amount charged for vacuuming a car
Solution :38 = 5x + 4y (1)
28 = 4x + 2y (2)
Can be solved by substitution or simply subtracting the (1) and (2) equation.
By Substitution:
38 = 5x + 4y ---> solve for x
38 - 4y = 5x (transposed 4y to the other side of the equation and it's sign changes from (+) to (-).
[tex]\frac{38-4y}{5} =x[/tex]
substitute the value of x to the (2) equation.
28 = 4x + 2 y
[tex]28=4(\frac{38-4y}{5})+2y[/tex]
[tex]28=\frac{152-16y}{5} +2y[/tex] , then multiply both side by 5 to eliminate the denominator 5.
140 = 152 - 16y + 10y (transposed 152 to the other side, change sign from (+) to (-)).
140 - 152 = -16y + 10 y
-12 = -6y (divide both side by (-6)
y = 2 or $2 (amount charged for vacuuming)
Using any of the 2 equation, we can solve for the value of x.
38 = 5x + 4 (2) (we substitute, the value of y)
38 - 8 = 5x
30/5 = x
x= 6 or $6 (amount charged for washing)
Jenna earns $10.75 per hour working at the mall. If Jenna worked 23 4/5 hours last week, how much did she earn before taxes were taken out?
The total weekly earnings of Jenna before the taxes were taken out is
$255.85.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Jenna earns $10.75 per hour working.
She worked a total of [tex]23\frac{4}{5}[/tex] hours last week.
Therefore, The total earnings of Jenna can be obtained by multiplying her rate per hour by the total number of hours she worked which is,
= 10.75×119/5.
= 10.75×23.8.
= $255.85.
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PLEASE HELP ASAP
The graph shows the favorite colors chosen by middle school students. Which statement is supported by the information in the graph?
Exactly 42% of the students chose green, black, or purple as their favorite color.
More than 1/10 of the students chose pink as their favorite color.
Less than 18% chose blue as their favorite color.
Fewer than 30% of the students red, yellow, or orange as the favorite color.
A statement which is supported by the information in the graph include the following: A. exactly 42% of the students chose green, black, or purple as their favorite color.
How to determine the true statement?In order to determine the true statement based on the information provided in the given bar chart, we would calculate the total number of students as follows;
Total number of students = 6 + 4 + 8 + 7 + 9 + 3 + 4 + 9
Total number of students = 50 students.
For the number of students who chose green as their favorite color, we have the following:
Green = 6/50 × 100
Green = 0.14 × 100
Green = 14%.
For the number of students who chose black as their favorite color, we have the following:
Black = 8/50 × 100
Black = 0.16 × 100
Black = 16%.
For the number of students who chose purple as their favorite color, we have the following:
Purple = 6/50 × 100
Purple = 0.12 × 100
Purple = 12%.
Total percentage = 14% + 16% + 12%
Total percentage = 42%
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Can you help me answer this question ?
Answer:
2
Step-by-step explanation:
Since k= -5/2 then -k is the opposite sign or 5/2
5/2 + 3/2 = 8/2
8/2 = 4
4 + (-2) is the same as 4-2
4-2 = 2
Answer: 2
Answer: 2
Step-by-step explanation:
The value of K is given as -5/2, so let's use it to solve the equation.
When you substitute -5/2 for k, you'll get
3/2+5/2-2 = 4-2=2
Therefore, the answer is 2.
Given: PR bisects ZQPS, PQ = 12 units, and PS= 12 units
Prove: QR
SR
P
S
How could you show QR SR?
OA.
OB.
O C.
R
OD.
Use AAS to show triangle PRQ is congruent to triangle PRS
Use SAS to show triangle PRQ is congruent to triangle SRP
Use SAS to show triangle PRQ is congruent to triangle PRS
Use ASA to show triangle PRQ is congruent to triangle PRS
From the AAS to triangle PRQ is congruent to triangle PRS. The correct option is A.
what is the triangle?A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC.
When the three points are not collinear, Euclidean geometry reveals a singular plane and triangle. A triangle is a type of polygon because it has three sides and three corners. The three sides' end-to-end intersections are referred to as the triangle's corners. The sum of the three triangle angles is 180 degrees.
Given
PQ = 12 units and PS = 12 units, with PR dividing ZQPS.
OA validates AAS's triangular display. The triangle is consistent with PRQ. Triangle is shown by SAS thanks to PRS OC. The triangle is consistent with PRQ. SEP
Every matching portion of one triangle is congruent to the other if two triangles are congruent.
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Need the answer to the problem below.
((7 * 4) ^ 8) ^ 10 =
Answer:
Here is your answer
((7 * 4) ^ 8) ^ 10 =
(28 ^ 8) ^ 10 =
377801998336 ^ 10 = 59243745466425005914454309773057597308923913133540598788947321202681255877119822027605832529210827998599338289790976
Step-by-step explanation:
There are 30 students in a class. Today, 26 students are present. Choose an equation to show how many students are absent.
Responses
26+a=30, a=4; 4 students are absent.
26 plus A is equal to 30, , A is equal to 4, ; , 4 students are absent.,
26+30=a, a=56; 56 students are absent.
26 plus 30 is equal to A, , A is equal to 56, ; , 56 students are absent.,
a−26=30, a=56; 56 students are absent.
A minus 26 is equal to 30, A is equal to 56; 56 students are absent.
26−a=30, a=4; 4 students are absent.
The equation that shows how many students are absent is 26+a = 30 and 4students are absent
What is a linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.
Also a linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
There are 30 students in a class and 26 students are present.
Let's represent the number of student absent by a
therefore the sum of the number of student absent and the student present will give the total number of student.
26+a = 30 and
a = 30-26
a = 4
therefore 4 students are absent
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Dave says:
The only quadrilateral with 4 right angles is a rectangle.
Is Dave correct?
EXPLAIN YOUR ANSWER
No, Dave is not correct. The quadrilateral with 4 right angles is a rectangle as well as square.
Define the properties of rectangle and square?Square: 4 equal sides, four internal right angles, plus four vertices make up the flat, two-dimensional (2D) shape known as a square.
Specifications of a Square
The lengths of a square's four sides are all equal.A square's internal angles are all 90°.A square's diagonals are parallel to one another.A square has equal-length diagonals that cut each other in half.Rectangle: A rectangle is indeed a two-dimensional form with equal lengths on both sides. It has four vertices and four equal angles. A rectangle's four angles are all 90° in angle.
Rectangle's Qualities:
A rectangle's opposing sides are equal as well as parallel to one another.A rectangle has only 90° inside angles.A rectangle has equal-length diagonals that cut each other in half.To know more about the rectangle and square, here
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How many different natural numbers can be formed using the digits 0,2,3,4,5,6 lying between 10 and 1000
Answer:
The total number of numbers = 125
Can you help me with this
Answer:
No function is shown
Step-by-step explanation:
Find the greatest common factor (GCF) of 18 and 6 .
GCF=
use the gcf to factor 18 + 6 = _ x (_+_)
The greatest common factor of 18 and 6 is 6
What is Greatest common factor?The greatest common factor is defined as the largest number that is a factor of two or more numbers. For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12. 24 and 36 have other factors in common, but 12 is the largest.
To find the greatest common factor between 18 and 6, we have to find the common factors of 28 and 6
The factors of 18 are: 1, 2,3,6,,9,18
The factors of 6 are: 1,2,3,6
The common factors are: 1,2,3,6
the greatest common factor is 6
Therefore the greatest common factor of 18 and 6 is 6
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Mrs. Chauvet keeps a Mystery Box in her classroom. If students meet expectations for behavior, they are allowed to draw slip of paper without looking. The slips are all equal size, well mixed, and have the name of a prize written on them. Here is the probability model for the prizes a student can win:
The requried solutions are,
(A) The given probability model represents all the possible probabilities between 0 and 1.
(B) The probability that a student won't win extra recess time is 0.95.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
(a)
The given probability model represents all the possible probabilities between 0 and 1, probabilities add up to 1.
(b)
The probability that a student won't win extra recess time is given as,
= 1 - p[student will win extra recess time]
= 1 - 0.05
= 0.95
Thus, the requried solutions are given above.
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Find the mean of the life spans of the farm animals.
Farm Animal Life Span
chicken
duck
horse
pig
sheep
COW
goat
7 years
10 years
22 years
10 years
12 years
10 years
12 years
OA. 10 years
OB. 11.9 years
O C. 12 years
OD. 15 years
Answer:
Step-by-step explanation:
The mean would be 11.857142857143 , so basically 11.9
The mean life span of the given farm animals is approximately 11.9 years, obtained by adding up all the individual life spans and dividing the total by the number of animals.
Explanation:The question asks for the mean, or average, of the life spans of various farm animals. Here's how we calculate it:
Add up all the individual life spans: 7 (chicken) + 10 (duck) + 22 (horse) + 10 (pig) + 12 (sheep) + 10 (cow) + 12 (goat) = 83 years.Divide the total by the number of animals (7 in this case): 83 ÷ 7 = 11.857 years, rounded to the nearest tenth.Therefore, the mean life span of these farm animals is approximately 11.9 years, which corresponds to option B.
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The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5. The profit for the year was $176,500. Determine the number of dollars each partner is to receive.
For the year in which they earned $176,500, the partners will receive $52,950, $35,300, and $88,250 respectively.
Here let the partners be A, B, and C.
According to the question, A: B: C = 3: 2: 5
This implies that if the profits are divided into
3 + 2 + 5 = 10 equal parts, 3 of those parts will go to A, 2 of those parts will go to B and 5 of those parts will go to C.
Here the profits for the year are $176,500.
Now dividing them into 10 equal parts will give us the value of each part to be
$176, 500/10 = $17,650
Hence A will receive $17,650 X 3 = $52,950
B will receive $17,650 X 2 = $35,300
C will receive $17,650 X 5 = $88,250
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A 4 cylinder engine with 543 cubic centimeters has what approximate displacement.
543 cubic centimeters has 0.543 L approximate displacement
Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.
Basic formula to calculate engine displacement is
V = π/4 x [tex]D^{2}[/tex] x H x N
Where :
D = Bore Diameter
H = Length of Stroke
N = Number of Cylinder
Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.
First, we state what is known. It is the displacement at cubic centimeter
Cubic centimeter = 543 cc
Next, we change the unit of cubic centimeter ( cc ) into liter ( L )
Displacement = cc / 1000 L
= 543 / 1000 L = 0.543 L
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Joephine wrote the number 1-100 and placed them in a bag. If he elect a number without looking what i the probability that the number i greater than 78
The probability that the number is greater than 78 is 22/100 or 22%.
1. There are a total of 100 numbers in the bag.
2. Out of the 100 numbers, 78 are less than 78.
3. Therefore, there are 22 numbers that are greater than 78.
4. The probability of selecting a number greater than 78 is 22/100 or 22%.
Josephine wrote the numbers one to one hundred and placed them in a bag. If he randomly selects a number without looking, what is the probability that the number is greater than seventy-eight? The probability that the number is greater than seventy-eight is twenty-two out of one hundred, or twenty-two percent. This is because there are a total of one hundred numbers in the bag, and out of those one hundred numbers, seventy-eight are less than seventy-eight. Therefore, there are twenty-two numbers that are greater than seventy-eight. The probability of selecting a number greater than seventy-eight is twenty-two out of one hundred, or twenty-two percent.
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A total of $12,000 is invested at an annual interest rate of 3%. Find the balance after 4 years if
the interest is compounded continuously.
$13506.11
$12526.03
$13,529.96
The balance after 4 years if the interest is compounded continuously can be calculated using the formula for continuous compounding:
A = Pe^rt
where A is the balance after the period, P is the initial principal, r is the interest rate, and t is the time in years.
In this case, the initial principal is $12,000, the interest rate is 3%, and the time is 4 years.
A = 12000 * e^(0.03*4)
A = 12000 * e^0.12
A = 12000 * 1.128037
A = $13,529.96
In a company, 60 %
of the workers are women . If
This gives us a total of 1,333 male workers in the company.
What is data in mathematics?Data in mathematics is information that is used for analysis. It is typically presented in a structured format such as a table or graph and can be used to draw conclusions and make predictions. Data can come from a variety of sources, including surveys, experiments, observations, and simulations. Data can be quantitative or qualitative, and can be used to describe relationships between variables or to compare different sets of data. Data is an important tool in mathematics, as it allows us to draw conclusions from information and make decisions based on evidence.
The number of male workers in the company would be 1,333. To calculate this, we can first calculate the total number of workers in the company by multiplying the total number of female workers (800) by 100 and then dividing the result by 60 (the percentage of male workers).
This gives us a total of 1,333 male workers in the company.
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Complete questions as follows-
In a company, 60 % workers are males. If the number of female workers in the company is 800, what is the number of male workers in the company?
PLS I WILL FAAAIIIIL
Factor the following expressions completely. Show and check all work on your own paper. 4x2+4x+1
Answer:
The factorised form of the expression given 4x² +4x +1 according to the task content is; (2x+1) (2x+1).. What is the factorised form of the expression given in the task content? It follows from the task content that the given expression is; 4x² +4x +1. Hence, it follows from factorisation convention that the expression above can be rewritten as;. 4x² +2x +2x +1
Step-by-step explanation:
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
let's solve ~[tex]\qquad \sf \dashrightarrow \: 4x {}^{2} + 4 x + 1[/tex]
[tex]\qquad \sf \dashrightarrow \: 4 {x}^{2} + 2x + 2x + 1[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x(2x + 1) + 1(2x + 1)[/tex]
[tex]\qquad \sf \dashrightarrow \: (2x + 1) (2x + 1)[/tex]
[tex]\qquad \sf \dashrightarrow \: (2x + 1)[/tex]
The required (factored) expression will be :
(2x + 1)²What is the easiest way to find the center of dilation?
The center point of the dilation is located, and the distances between this center point and various points on the preimage and the image are measured in order to determine the scale factor for the dilation. According to Math Bits Notebook, we can determine the scale factor by dividing these distances by two.
How To Find The Scale Factor Of A Dilation?The center point of the dilation is located, and the distances between this center point and various points on the preimage and the image are measured in order to determine the scale factor for the dilation. According to Math Bits Notebook, we can determine the scale factor by dividing these distances by two.Given that each angle is congruent, each segment is proportional, the slope of each segment is preserved, and the perimeter of the preimage and image have the same scale factor, using dilation scale factors allows us to enlarge or reduce a figure to the desired size.The following operations will then be covered in detail for you to perform:To transform, ascertain the scaling factor.What kind of dilatation is it?Assign a scale factor to the dilatation.Two dilated figures should have a perimeter ratio.To Learn more About dilation refer To:
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HELPPPPP !! The cost in dollars to produce x shovels in a factory is given by the function C(x)=17x+500. The number of shovels that can be produced in h hours is
given by the function N(h)=30h.
7. Find the rule for C(N(h)).
8. Find the cost when h=8 hours.
The cost when h=8 hours is 4290.
What is function?A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. An example of a rule is a function, which produces one output for a single input. A mathematical function is a rule that determines the value of the dependent variable based on the values of the independent variables. A table, a formula, or a graph are just a few examples of how a function might be expressed.An input is connected to an output by a function. It resembles a device with an input and an output. In addition, the output is somehow connected to the input.c(x) = 12x + 450 and N(h) = 40h
We get,
C(N(h)) = 12 *(N(h)) + 450
= 12 * 40h + 450
= 480h + 450
So,
Cost when h = 8 -> 480*8 + 450 = 4290
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given ABCD,EBGF, and HJKD are parallelograms.
Answer:
see explanation
Step-by-step explanation:
• the opposite angles of a parallelogram are congruent.
Then
∠ 2 = ∠ 1
and
∠ 4 = ∠ 1
and
∠ 3 = ∠ 4
since ∠ 3 = ∠ 4 and ∠ 4 = ∠ 1 with ∠ 2 = ∠ 1 = ∠ 4
then
∠ 2 ≅ ∠ 3
By using the property of opposite angles of a parallelogram, we can say that ∠2 = ∠3.
A parallelogram is a special type of quadrilateral whose opposite sides are equal and parallel to each other. Another notable property of a parallelogram is that opposite angles are equal and sum of adjacent angles is 180 degrees.
Using the property that opposite angles of a parallelogram are equal,
In the parallelogram BEFG, ∠2 = ∠1 - equation 1
In the parallelogram DHJK, ∠4 = ∠3 - equation 2
In the parallelogram ABCD, ∠4 = ∠1 - equation 3
Equating equations 1, 2 and 3,
∠2 = ∠1 = ∠4 = ∠3
Thus implying, ∠2 = ∠3.
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Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total sales for the month.
- Kyle's total sales for the month of January were $15,000 and his total earnings for hat month were $2,550.
- Kyle's total sales for the month of February were $25,000 and his total earnings for that month were $3,050.
What is Kyle's fixed monthly salary in dollars?
Kyle's fixed monthly salary in dollars $1800 and fixed percentage of his total sales for the month is 5%.
What is fixed salary?Fixed pay, also known as a fixed salary, is the predetermined and set sum that an employer pays to a worker at the conclusion of each payroll cycle. The term "fixed pay" refers to all compensation that the company guarantees, most frequently in the form of a monthly or annual salary.
We let his fixed monthly salary be x & his fixed percentage be y so our equations will be:
2,550 = x + 15,000y
3,050 = x + 25,000y
Subtract the equations
3,050 = x + 25,000y
- 2,550 = x + 15,000y
500 = 10,000y
y = 10000/500
y = 0.05 or 5%
Potting the value of in first equation we get,
2,550 = x + 750
x = 2,550 - 750
x = $1800
Thus, Kyle's fixed monthly salary in dollars $1800 and fixed percentage of his total sales for the month is 5%.
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