elliot scores 65 out of 80 in a mats test. write this as afraction
Answer:
\(\huge\boxed{\sf \frac{65}{80} => \frac{13}{16} }\)
Step-by-step explanation:
Obtained Marks = 65
Total Marks = 80
Fraction:
=> \(\sf \frac{65}{80}\)
=> \(\sf \frac{13}{16}\)
Hope this helped!
~AnonymousHelper1807
Select the correct answer. What is the approximate solution to this equation? 19 + 21nx= 25
Answer:
x= \(\frac{2}{7n}\)
Step-by-step explanation:
19 + 21nx= 25
21nx= 25 - 19
21nx= 6
x= \(\frac{2}{7n}\)
Two numbers have a sum of 1195 and a difference of 505?
Answer:
x = 850 and y = 345
Step-by-step explanation:
x + y = 1195
x - y = 505
Add the two equations
2x + 0y = 1700
2x = 1700
x = 850
Sub x = 850 into the first equation:
850 + y = 1195
y = 345
Thus, x = 850 and y = 345
The difference of twice a number and seven is 17. Find the number.
Ted needs 2500 metres for job. What length is this in kilometres
Answer:
2.5 kilometers
Step-by-step explanation:
One kilometer is 1000 meters
To convert from metres to kilometers, we divide by 1000
2500 ÷ 1000 = 2.5km
Mrs. Williams estimates that she will spend $65 onschool supplies. She actually spends $73. What is thepercent error? Round to the nearest tenth ifnecessary.
We can calculate the percent error as the absolute difference between the predicted value ($65) and the actual value ($73) divided by the actual value and multiplied by 100%.
This can be written as:
\(e=\frac{|p-a|}{a}\cdot100\%=\frac{|65-73|}{73}\cdot100\%=\frac{8}{73}\cdot100\%\approx11.0\%\)Answer: the percent error is approximately 11.0%
❗️HELP ASAP WILL GIVE BRAINLIEST ❗️
How many solutions does the system of linear equations represented in the graph have?
-5 -4
♡
-2
One solution at (-2, 0)
No solution
One solution at (0, -2)
O Infinitely many solutions
S
2
1
-1 0
-1
1₂
?
7
-5
1
2 3
4
Answer:
Infinitely many solutions
Step-by-step explanation:
Which of the following is the equation of a line with a slope of -5/9
Answer:
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Step-by-step explanation:
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Use the point and the slope to graph each line. Write the equation of the line.
The line passes through point (4,0) and has slope 0.5.
Answer:
y=0.5x-4.5
Step-by-step explanation:
y=mx+b
Use the information provided to find b
0=0.5(4)+b
-2=b
Therefore, the equation goes down to...
y= 0.5x-2
Step-by-step explanation:
using the formula
m = y -y1/ x - x1
0.5 = y -0/x-4 (0.5 = 1/2)
1/2 = y/x -4
2y = x -4
divide both sides by 2
y = 1/2 ( x -4)
y = 1/2x - 2
y -1/2x = -2
f(g(x)) g(f(x)) ANSWER QUESTION BELOW BRIEF RESPONSE
Given statement solution is :- "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)).
"f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)).
The expressions "F(g(x)) g(f(x))" and "f(g(x)) g(f(x))" are compositions of functions. The answer to the question posed would depend on the specific functions F(x) and g(x), as well as f(x) and g(x) in the second expression.
To provide a brief response:
For the expression "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)). The order of composition is F(g(x)) first, followed by g(f(x)).
For the expression "f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)). The order of composition is f(g(x)) first, followed by g(f(x)).
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A standard deck of cards contains 52 cards. One card is randomly selected from the deck: Compute the probability of randomly selecting a queen or club from a deck of cards.
Answer:
The probability of randomly selecting a queen or club from a deck of cards = 17/52
Step-by-step explanation:
Here in this question, we are concerned with computing the probability of randomly selecting a queen or club form a deck of cards
Mathematically, the probability is;
Probability of selecting a queen + Probability of selecting a club
Probability of selecting a queen = number of queens/total card number
The number of queens = 4
Probability of selecting a queen = 4/52
Probability of selecting a club card = number of club cards/ total number of cards
Number of club cards = 13
Probability of selecting a club card = 13/52
The probability of selecting a queen or club from a deck of cards = 4/52 + 13/52 = 17/52
What is the volume of this triangular pyramid
Answer:
The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).
Step-by-step explanation:
Answer:
192 cubic feet
Step-by-step explanation:
The volume V of a triangular pyramid is given by the formula:
V = (1/3) * base area * height
where base area is the area of the triangular base.
In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:
base area = length * width = 8 ft * 8 ft = 64 sq ft
Substituting the given values into the formula, we get:
V = (1/3) * 64 sq ft * 9 ft
V = 192 cubic feet.
Therefore, the volume of the triangular pyramid is 192 cubic feet.
Bandhan Bank employee salary after 10 years
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
S={(3,p),(3,0),(4,q),(1,4)}
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
Leon older brother is 4 and 3/4 feet tall Leon is 1/3 foot shorter than his brother how tall is Leon
Answer:
4 5/12 feet tall
Step-by-step explanation:
All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.
Answer:
Leon is 53/12 feet or 4 & 5/12 or 4.4167 (same answer different forms)
Step-by-step explanation:
Leon older brother is 19/4 feet tall or 57/12.
Leon is 1/3 or 4/12 foot shorter than his brother.
57/12-4/12= 53/12
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded. Only values that satisfy y > 3x + 1 are solutions. Only values that satisfy y < 3x – 3 are solutions. Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions. There are no solutions.
There are no solutions to the system of inequalities Option (d)
Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.
A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is
y > 3x + 1
y < 3x - 3
The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.
The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.
Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.
To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.
When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.
There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.
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Complete Question :
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
Options:
a)Only values that satisfy y > 3x + 1 are solutions.
b)Only values that satisfy y < 3x – 3 are solutions.
c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
d)There are no solutions.
Answer:
D
Step-by-step explanation:
Given: Quadrilateral DEFG is inscribed in circle P.
Prove: m∠D+m∠F=180∘
The sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.
To prove that m∠D + m∠F = 180∘, we can use the property of angles inscribed in a circle.
In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Therefore, if we can show that arc DE + arc FG = 360∘, we can conclude that m∠D + m∠F = 180∘.
Let's start the proof:
1. Quadrilateral DEFG is inscribed in circle P. This means that all the vertices of the quadrilateral lie on the circumference of the circle.
2. Let's consider arc DE and arc FG. These arcs are intercepted by angles ∠D and ∠F, respectively.
3. By the property of angles inscribed in a circle, we know that the measure of an inscribed angle is equal to half the measure of its intercepted arc.
4. Therefore, m∠D = 1/2(arc DE) and m∠F = 1/2(arc FG).
5. We want to prove that m∠D + m∠F = 180∘. This is equivalent to showing that 1/2(arc DE) + 1/2(arc FG) = 180∘.
6. Combining the fractions, we have 1/2(arc DE + arc FG) = 180∘.
7. Now, we need to show that arc DE + arc FG = 360∘.
8. Since quadrilateral DEFG is inscribed in circle P, the sum of the measures of all the arcs intercepted by the sides of the quadrilateral is equal to 360∘.
9. This means that arc DE + arc EF + arc FG + arc GD = 360∘.
10. However, we can observe that arc EF and arc GD are opposite sides of the same chord, so they have equal measures. Therefore, arc EF = arc GD.
11. Substituting arc GD with arc EF in the equation from step 9, we have arc DE + arc EF + arc FG + arc EF = 360∘.
12. Simplifying the equation, we get 2(arc DE + arc EF + arc FG) = 360∘.
13. Dividing both sides by 2, we have arc DE + arc EF + arc FG = 180∘.
14. Comparing this result with step 7, we can conclude that arc DE + arc FG = 180∘.
15. Finally, going back to our initial goal, we can now substitute arc DE + arc FG with 180∘ in the equation from step 6: 1/2(180∘) = 180∘.
16. Simplifying, we have 90∘ = 180∘, which is a true statement.
17. Therefore, we have proven that m∠D + m∠F = 180∘.
Thus, we have successfully proved that the sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.
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What role do plants play in the nitrogen cycle?
Answer:
Plants absorb nitrates from nearby soils to create proteins. Fertilizer also helps because it makes the soil even richer, allowing for more nitrates, which means more proteins.
Which statements are true regarding the expression below? Choose three answers. 8 ^-1. 8 ^-3. 8
The statements that are true regarding the expression with the exponents -1, -3, and 1 are;
An equivalent expression is 8⁷·8⁻¹⁰The sum of the exponent is -3The value of the expression is 1/512What is an exponent?An exponent is a quantity or power to which a value, expression or number is to be raised.
The specified expression can be presented as follows;
8⁻¹ × 8⁻³ × 8
Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³
The sum of the exponent is; -1 + (-3) + 1 = -31/8³ = 1/512
Therefore, the value of the expression is; 1/512Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³
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Helloo can anyone help on this? Thank you!!
The two triangles are congruent by SAS congruence Theorem.
What is Congruence of Triangles?Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.
Given are two triangles XYZ and ABY.
Given that XZ = AB and ZY = BY
We can see from the figure that sides XZ and AB are parallel.
ZB can be represented as a transversal line.
So, ∠Z and ∠B are alternate interior angles.
We know that, alternate interior angles are equal.
So here we get that, two sides and an included angle of ΔXZY is equal to the corresponding two sides and included angle of ΔABY, which is the definition of SAS congruence theorem.
So the two triangles are congruent.
Hence, by SAS congruence theorem, two triangles are congruent.
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A conglomerate corporation develops, manufactures, and markets a wide range of products, including medical diagnostic imaging devices, jet engines, lighting products, and chemicals. In 2013, the stock price rose %, and in 2014, the stock price declined %. If one purchased $1,000 of some social media stock at the start of 2013, its value would be $ at the end of 2014.
Required:
Compute the geometric mean rate of return per year of the two-year period 2013-2014.
Complete question :
A conglomerate corporation develops, manufactures, and markets a wide range of products, including medical diagnostic imaging devices, jet engines, lighting products, and chemicals. In 2013, the stock price rose 34.83 %, and in 2014, the stock price declined 8.2%. If one purchased $1,000 of some social media stock at the start of 2013, its value would be $ at the end of 2014.
Answer: 0.2078330
Step-by-step explanation:
The geometric mean is calculated using :
[((1 + r1)(1+r2)(1+r3)...(1+rn))^(1/n) ]- 1
From the question:
2014 stock decline = 8.2% = rate 1(r1) = 0.082
2013 stock increase = 34.83% rate 2(r2) = 0.3483
Number of observations (n) = 2
Hence, geometric mean:
[((1 + r1)(1 + r2))^(1/n)] - 1
[((1 + 0.082) (1 + 0.3483))^(1/2)] - 1
Sqrt[(1.082)(1.3483)] - 1
Sqrt(1.4588606) - 1
= 1.2078330 - 1
= 0.2078330
Complete the following question:
Medical diagnostic imaging devices, jet engines, lighting products, and chemicals are just some of the products that a conglomerate corporation develops, manufactures, and markets. In 2013, the stock price increased by 34.83 percent, but it fell by 8.2 percent in 2014. If you bought $1,000 worth of social media stock in the beginning of 2013, it would be worth $ by the end of 2014.
0.02078330 is the answer.
Step-by-step instructions:
The geometric mean is found by multiplying the following numbers together:
[((1 + r1)(1+r2)(1+r3)...(1+rn))(1/n) ] (((1 + r1)(1+r2)(1+r3)...(1+rn) ] ((1 + r1)(1+r2)(1
+ 1
As a result of the question:
Rate 1(r1) = 0.082 for 2014 stock decline = 8.2 percent
Increase in stock in 2013 = 34.83 percent rate 2(r2) = 0.3483
The number of observations (n) is equal to two.
As a result, the geometric mean is calculated as follows:
[((1 + r1)(1 + r2))(1/n)] [(1 + r1)(1 + r2)] [(1 + r1)(1 + r2)] [ + 1
[((1 + 0.082) (1 + 0.3483)) [((1 + 0.082) (1 + 0.3483)) [((1 + 0.082) (1 + 0.3483)) [ + 1
Sqrt[(1.082)(1.3483)] is the square root of the number Sqrt[(1.082)(1.3483)]. + 1
sqrt(1.4588606) - 1 sqrt(1.4588606) sqrt(1.4588606) sqrt
1.2078330 - 1 = 1.2078330 + 1 = 1.2078330 + 1 = 1.
equals 0.2078330
What is the area of a circle that has the diameter of 4?
Answer:
Hello! answer: 12.56
Step-by-step explanation:
Area for circles is found be doing
radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4
4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!
which comprison is correct?
a. 3/2 < 1/3
b. 3/8 > 1/6
c. 11/6 < 3/4
d. 3/5 = 5/8
Answer:
The second one
Step-by-step explanation:
USE THE BUTTERFLY TECHINQUE
3/8 O 1/6
18 3/8 O 1/6 8
18 > 8
3/8 > 1/6
Answer:
B is correct
3/8> 1/6 = 3 · 3/8 · 3 > 1 · 4/6 · 4 = 9/24 > 4/24 = 9 > 4 = Yes
can you help me understand this question
Answer:
Which one?
Step-by-step explanation:
Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
A "Pick 3" lottery game involves drawing
3 numbered balls from separate bins
each containing balls labeled from 0 to 9.
So there are 1,000 possible selections in
total: 000, 001, 002, . . . , 998, 999.
Players can choose to play a "straight"
bet, where the player wins if they choose
all 3 digits in the correct order. Since
there are 1,000 possible selections, the
probability a player wins a straight bet is
1/1,000. The lottery pays $400 on a
successful $1 straight bet, so a player's
net gain if they win this bet is $399.
Let X represent a player's net gain on a
$1 straight bet.
Calculate the expected net gain E(X).
According to the question the expected net gain for a player on a $1 straight bet is -$0.60.
how to calculate expected value in probability?Simply multiply each value of the discrete random variable X by its probability and add the products to get the expected value, E(X), or mean. The formula is as follows: E (X) = ∑ x P (x)
The possible outcomes for X are winning with a probability of 1/1000 and net gain of $399, and losing with a probability of 999/1000 and net gain of -$1. Therefore, we can calculate the expected value of X as follows:
E(X) = (1/1000)($399) + (999/1000)(-$1)
E(X) = $0.399 - $0.999
E(X) = -$0.60
Therefore, the expected net gain for a player on a $1 straight bet is -$0.60. This means that, on average, a player will lose $0.60 for each $1 bet they place on this game.
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Answer:
-0.60
Step-by-step explanation:
Khan Academy
is getting a pear of d rose 772 a bad choice because I'm white
Answer:
no, what you wear does not define you.
Step-by-step explanation:
A submarine sandwich that is 1 2/3 yards long is cut into 1/3 yard mini subs. How many mini-subs are there?
Answer:
5
Step-by-step explanation
First, change 1 2/3 into an improper fraction which is 5/3.
Then, you have to divide 5/3÷1/3. Change 1/3 to its reciprical which is 3/1.\
You next multiply 5/3×3/1 multiply across the top and bottom you get 15/3 which equals 5
Help with number three parts a-d are all number three
For this problem, we are told that a bag contains a number from 1 to 10, we need to calculate the probability of a few situations.
The probability of any given event occurring is the division between the favorable events and all the possible events.
The first one is the probability of drawing a number between 2 and 7. There are 6 possible numbers we can draw, 2, 3, 4, 5, 6 and 7, from a total of 10 possible numbers, therefore we have:
\(P(\text{ between 2 and 7})=\frac{6}{10}=\frac{3}{5}\)The probability is 3/5.
Now we need to determine the probability of the number is a multiple of 5. There are only two multiples of 5 among the possible results, which are 5 and 10. Therefore we have:
\(P(\text{ multiple of 5})=\frac{2}{10}=\frac{1}{5}\)The probability is 1/5.
Now we need to describe the compliment of selecting a 9. The complement of a certain event is the same as the probability of that event not happening. Therefore the complement of selecting a 9 represents not selecting a 9, selecting any other possible number instead.
If the probability of selecting the number is 3/10. The question could be "The probability of selecting a multiple of 3", because there are only 3, 6 and 9 as favorable events.