Answer:
BC ≅ EF
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent
ABC ≅ DEF
The corresponding sides are BC and EF
Select the choice that represents the two-variable
equation after it has been solved for x in terms of y.
2y - 3x = 0
The two variable equations when solved for x in terms of y is given as the equation y = 3x/2, and option A is the correct answer.
What are equations?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.
The given equation is:
2y - 3x = 0
Add 3x on both sides of the equation:
2y -3x + 3x = 3x
2y = 3x
Divide both sides of the equation with 2:
2y / 2 = 3x / 2
y = 3x/2
Hence, the two variable equations when solved for x in terms of y is given as y = 3x/2, and option A is the correct answer.
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The correct question is:
help h help helpp
Which is the best approximation for the solution of the system of equations?
y = -2/5 x + 1
y = 3x -2
WHICH ANSWER?
A. (0.45, 0.88)
B. (0.88, 0.65)
C. (0.88, 1.1)
D. (1.3, 0.88)
Answer:
B. (0.88,0.65)
Step-by-step explanation:
The exact point is (0.882, 0.647)
and just round it out
Daniel reads 30 pages of his books in 2 hours. Elizabeth reads 45 pages of her book in 3 hours. Do Daniel and Elizabeth read at the same rates, and why?
Answer:
C. Yes. Daniel and Elizabeth each read 15 pages an hour
Step-by-step explanation:
30 + 45 = 75
3 + 2 = 5
75/5 = 15/h
Hope it helps, sorry if its wrong.
In the New York marathon there were 45 360 runners. 7 /10 of the runners were women. How many of the runners were men?
Answer:
13,608
Step-by-step explanation:
If 7/10 of the runners were women, than 3/10 of the runners were men. 3/10 of 45,360 runners is 13,608.
Hope this helps! Pls give brainliest! Also, plz sub to kgirl633 on yt.
What is 6721 x 381 divided by 14 + 84
Answer: 26129.6
Step-by-step explanation:
6721 x 381 = 2560701
14 + 84 = 98
2560701 / 98 = 26129.6
Cliff takes out a $5,000 personal loan with 7
fixed annual interest compounded monthly to pay for his wedding. He repays the loan in 2 year.s
How much total interest does Cliff pay on his loan?
Cliff pays a total interest of approximately $679.90 on his $5,000 loan.
To calculate the total interest paid on the loan, we need to use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the final amount (loan amount + interest)
P is the principal (loan amount)
r is the annual interest rate (in decimal form)
n is the number of times interest is compounded per year
t is the number of years
Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:
P = $5,000
r = 7% = 0.07
n = 12 (monthly compounding)
t = 2 years
\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)
Calculating this expression:
A ≈ 5000\((1.00583)^{(24)\)
A ≈ 5000(1.13598)
A ≈ 5679.90
The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):
Total Interest = A - P
Total Interest = 5679.90 - 5000
Total Interest ≈ $679.90
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Which table represents a linear function?
Answer:
Top right option
Step-by-step explanation:
For homework, Tina is asked to write down the opposite value for each number listed. Which comparison did Tina write incorrectly?
Answer:
x
Step-by-step explanation:
It still would be a negative.
The comparison that Tina wrote incorrectly is X. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The table is given below.
Comparison Number Opposite value
W -3 3
X -(-9) 9
Y 0 0
Z 4 - 4
The number -(-9) is also written as 9 and the opposite number of 9 is negative 9. Then the comparison that Tina wrote incorrectly is X. Then the correct option is B.
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For a standard normal variable , compute p(z<1.5)
Answer:
P(Z < 1.5) = 0.9331927987
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis are:
A. x² + (y - 3)² = 36.
D. x² + (y + 8)² = 36.
What is the equation of a circle?In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.Note: A center that lies on the y-axis simply means the value of h on the x-axis is equal to 0.
Based on the information provided above, we have the following parameters:
Radius, r = diameter/2 = 12/2 = 6 units.
Center, (h, k) = (0, 3).
By substituting the given parameters into the equation of a circle formula, we have the following;
(x - h)² + (y - k)² = r²
(x - 0)² + (y - 3)² = 6²
x² + (y - 3)² = 36.
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hello am trying to see if am doing this right
Given an expression below
\(\begin{gathered} \frac{p}{81}\text{ = 11} \\ \text{cross multiply} \\ \frac{p}{81}=\text{ }\frac{11}{1} \\ p\text{ }\times1\text{= 11 }\times\text{ 81} \\ p\text{ = 891} \end{gathered}\)Then the expresion will be equal once the value of p = 891
Hence the value of p = 891
What is the slope of the line through (-9,-6) and (3,-9)?choose 1 answer
A: -1/4
B:4
C:1/4
D:-4
Answer:
-1/4
Step-by-step explanation:
At the beginning of the week, Paloma opened a new box of 275 coffee creamers. Sixty-four coffee creamers were used during the week. Which equation could be used to find x, the number of coffee creamers left at the end of the week?
There 211 number of coffee creamers left at the end of the week.
What is number ?
The arithmetic value of a number is one that is used to denote amount. As a result, a number is a mathematical concept used for counting, measuring, and labeling. As a result, mathematics is based on numbers.
An arithmetic value known as a number is used to represent a quantity and do calculations. Numbers are represented by written symbols, such as "3," which are referred to as numerals. A number system is a method of writing that uses logically ordered digits or symbols to represent numbers.
Numerology comes in a variety of forms. Organic Numbers entire numbers Integers Realistic Numbers Unreasonable Numbers True numbers complicated numbers Organic numbers numbers beginning with "1".
x will be equal to
x = 275 - 64
= 211
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Over what open interval is the function increasing? Also, find domain and range (answer in interval notation.) Explain.
Which expression are equivalent to the expression X minus Y times 5÷8-1÷4 X plus Y
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
We have,
We can simplify the given expression as follows:
(X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y)
= (5X - 5Y) ÷ 8 - 1 ÷ (4X + 4Y)
[distributing the factors]
= (5X - 5Y) /8 - 1/(4X + 4Y)
[finding a common denominator]
= ((5X - 5Y)(4X + 4Y) - 1)/(4X + 4Y)
= (20X² + 20XY - 20XY - 20Y² - 1) / (4X + 4Y)
= (20X² - 20Y² - 1) / (4X + 4Y)
Therefore,
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
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ordan randomly asked customers at two different restaurants how long they waited for a table before they were seated. The double box plot shows the results. Compare their centers and variations. Write an inference you can draw about the two populations.
Based on the information in the double box plot, we can infer that customers at Restaurant A have a shorter wait time for a table than customers at Restaurant B.
How to explain the surveyThe double box plot shows the results of Jordan's survey of customers at two different restaurants. The median wait time for a table at Restaurant A is 15 minutes, while the median wait time for a table at Restaurant B is 20 minutes.
This means that half of the customers at Restaurant A waited 15 minutes or less for a table, while half of the customers at Restaurant B waited 20 minutes or less for a table.
The interquartile range (IQR) for Restaurant A is 5 minutes, while the IQR for Restaurant B is 10 minutes. This means that the middle 50% of customers at Restaurant A waited between 10 and 20 minutes for a table, while the middle 50% of customers at Restaurant B waited between 10 and 30 minutes for a table.
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PLS HELP I WILL BRAINLIEST 15 PTS
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the data from the 2nd hour to the 6th hour? Be sure to include the correct units of measurement.
a scatter plot with x axis labeled Hour and y axis labeled Money Earned in Dollars per Hour with points at 1 comma 54 and 2 comma 58 and 3 comma 64 and 4 comma 78 and 5 comma 96 and 6 comma 126 and 7 comma 99 and 8 comma 75
17 hours
68 dollars
17 dollars per hour per hour
68 dollars per hour per hour
Answer:
17
Step-by-step explanation:
A slope is also known as the gradient of a line. The correct option is C, 17 dollars per hour.
What is Slope?A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
The average rate of change for the data from the 2nd hour to the 6th hour is,
Average rate = ($126 - $58)/(6 hour - 2 hour)
= 68/4 dollar per hour
= 17 dollars per hour
Hence, The average rate of change for the data from the 2nd hour to the 6th hour is 17 dollars per hour.
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yes or no
if yes pls tell me what the unit rate is
I WILL MARK U BRAINLIEST
(attachment)
Answer:
Yes, and the unit rate is 1:48
Step-by-step explanation:
If you start by dividing 204 by 4.25, you will see you get an answer of 48. Now if you move on to the next row, and divide 252 by 5.25, you also get 48. If you do the same with the last two rows, you get 48 for both. This shows that the unit rate is 1:48.
which propertied belong to all isosceles triangles? check all that apply
Answer:
Step-by-step explanation:
At least two sides have the same length.
At least two angles have the same measure.
The base angles (angles opposite the equal sides) have the same measure.
The altitude (perpendicular segment from the base to the vertex) bisects the base and the corresponding base angle.
The median (segment connecting the vertex to the midpoint of the base) is also an altitude, angle bisector, and perpendicular bisector of the base.
Based on these characteristics, the properties that belong to all isosceles triangles are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
Therefore, the correct options are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
slope intercept form for (3,3) and (2,4)with work please I'm trying understand how to do it on my own
P1 = (3,3)
P2 = (2, 4)
x1 = 3 y1 = 3 x2 = 2 y2 = 4
1.- Find the slope
2.- Find the equation of the line
y - y1 = m(x - x1)
Substitution
y - 3 = -1(x - 3)
Simplification
y - 3 = -x + 3
y = -x + 3 + 3
Result
y = -x + 6
The equatin of the line is y = -x + 6
What are some values to make -2x> 10 true ?
Please help ASAP!
Answer:
-6 -7 -8 -9 -10
Step-by-step explanation:
anything that keeps going from there dont do anything like -5 -4 -3 -2 -1 because it would be wrong
any negative number that keeps increasing after -6
Solve the following system of equations.
y = –5x + 3
y = 2x2 – x – 3
Answer:
Step-by-step explanation:
the first would be _3 ,0
5
and the second would be 0,3
need help with this derivation : y= ∛(x^2-3x+5)
The derivative of the given function y= ∛(x²-3x+5)
is calculated as : \(\frac{2x-3}{3(x^2-3x+5)^{\frac{2}{3} }}\) .
A derivative is the instantaneous rate at which a function alters in relation to another variable according to calculus.
Differentiation is the process of determining a function's derivative. The derivative of a function is equivalent to its tangent slope, rate of change, etc. It is possible to broaden the application of derivatives as functions of numerous real variables. This interpretation reinterprets the derivative as a linear transformation whose graph is the closest linear approximation of the graph of the original function (after an appropriate translation).
The given function is of the form y= ∛(x²-3x+5)
We will now find the derivative of the function by using the power rule of differentiation .
\(or, \frac{dy}{dx} = \frac{d}{dx}\sqrt[3]{x^2-3x+5} \\\\or, \frac{dy}{dx}=\frac{1}{3}(x^2-3x+5)^{-\frac{2}{3}}(2x-3)\\\\or, \frac{dy}{dx}=\frac{2x-3}{3(x^2-3x+5)^{\frac{2}{3} }}\)
Hence the derivative of the function is given as: \(\frac{2x-3}{3(x^2-3x+5)^{\frac{2}{3} }}\)
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Will give brainliest!!
Answer:
its 5 hours i think
Step-by-step explanation:
The lengths of two sides of a triangle are shown.
Side 1: 8x2 - 5x - 2
Side 2: 7x - x2 , 3
The perimeter of the triangle is 4xJ - 3x?
Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)
Part B: What is the length of the third side of the triangle? Show your work. (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? justify your answer. (2
points)
The Total length of two sides based on the information will be 7x²+2x+1
The Length of the third side will be 4 x³-10x²-7.
How to calculate the lengthTotal length of two sides= Side 1 + Side 2
= 8x² − 5x − 2+ 7x − x²+ 3
= 8x²-x²-5x+7x-2+3
= 7x²+2x+1
Length of the third side = Perimeter - Total length of two sides
Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)
= 4x³ − 3x² + 2x − 6-7x²-2x-1
= 4 x³-10x²-7
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What is the numerical coefficient of the first term
Answer:
the number before the first variable (first term)
Step-by-step explanation:
this appears to be an incomplete question. The numerical coefficient of a term is the number before the variable.
the constant is the number without a variable.
When Tyee runs the 400 meter dash, his finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 1.5 seconds. If Tyee were to run 39 practice trials of the 400 meter dash, how many of those trials would be faster than 62 seconds, to the nearest whole number?
To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.
We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.
The z-score formula is:
z = (x - μ) / σ
Where:
x = value (62 seconds)
μ = mean (61 seconds)
σ = standard deviation (1.5 seconds)
Calculating the z-score:
z = (62 - 61) / 1.5
z ≈ 0.6667
Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.
Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.
To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:
Number of trials = Proportion * Total number of trials
Number of trials = 0.7461 * 39
Number of trials ≈ 29.08
Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.
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in slope intercept form what is the line perpendicular to y=2x -5 that passes through the (2, -5) point
The most appropriate choice for equation of line in slope intercept form will be given by-
\(y = -\frac{1}{2}x - 4\) is the required equation of line
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = \(tan\theta\)
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
The given equation of line is y = 2x-5
Slope of this line = 2
Slope of the line perpendicular to this line = \(-\frac{1}{2}\)
The line passes through (2 , -5)
Equation of the required line = \(y - (-5) = \frac{1}{2}(x - 2)\)
\(y +5=-\frac{1}{2}x+1\\y = -\frac{1}{2}x +1 -5\\y = -\frac{1}{2}x -4\)
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Problem 1: The 30% discount on a 49$ dollhouse
problem 2: the 20%tip on a 8$ sandwich
problem 3: the total cost of a 112.75$ meal with a 20% tip
problem 4: the price paid for a 15$ shirt after q 45% discount is applied
Thanks
Answer:
1. $34.30
2. $9.60
3. $135.30
4. $8.25
Step-by-step explanation:
Answer:
1. $14.70
2. $1.60
3. $135.30
4. $8.25
Step-by-step explanation:
1. Convert percentage to decimal:
30% = 30/100 = 0.3
So 30% of $49 = 0.3 x 49 = 14.7
Therefore, a discount of 30% = a discount of $14.70
2. Convert percentage to decimal:
20% = 20/100 = 0.2
So 20% of $8 = 0.2 x 8 = 1.6
Therefore, the 20% tip = $1.60
3. Convert percentage to decimal:
20% = 20/100 = 0.2
So 20% of $112.75 = 0.2 x 112.75 = 22.55
Therefore, total cost with the tip = 112.75 + 22.55 = $135.3
4. If a discount of 45% is applied, the new cost of the shirt will be 55% of its original price (as 100% - 45% = 55%)
Convert percentage to decimal:
55% = 55/100 = 0.55
So 55% of $15 = 0.55 x 15 = 8.25
QUESTION 10
When looking at her grades, Susan found that she scored a combined 258 points on her first three tests. She also noticed that on tests two and three, she
scored 10 points fewer than the test before.
Write an equation that fits this problem.
Answer:
let the grade points be a,b,c
a+b+c=258
b=c+10( since she noticed that on tests two and three,she scored 10 points fewer).
Answer:
See belowStep-by-step explanation:
Let the first test score is x, then the next two are x - 10 and x - 20 and the total of three is 258.
We can reflect this as:
x + x - 10 + x - 20 = 258Solving we get:
3x - 30 = 2583x = 258 + 303x = 288x = 288/3x = 96The scores are: 96, 86 and 76