Answer:
B
Step-by-step explanation:
Maria walked 3/4 of a mile. Cody walked 6/10 of a mile. How much farther did Maria walk than Cody?
Answer:
3/20
Step-by-step explanation:
Take the miles that Maria walked and subtract the miles that Cody walked
3/4 - 6/10
Simplify 6/10 by dividing the top and bottom by2
3/4 - 3/5
Get a common denominator of 20
3/4 *5/5 = 15/20
3/5 *4/4 =12/20
15/20 - 12/20
3/20
Answer:
0.15(3/20) miles more than Cody
3/4 = 0.75
6/10 = 0.6
Therefore, Maria walked 0.15(3/20) miles greater than Cody.
Find the total surface area of this cylinder.
Please help! I’ve tried many answers and formulas but I still can’t get the correct answer
Answer:
2261 meter^2
Step-by-step explanation:
I rounded it up but if you need the full thing its 2261.94671 m^2
Step-by-step explanation:
We know that
Radius = Diameter/2
Radius = 24/2
Radius = 12 cm
Now,
TSA of cylinder = 2πr(h + r)
=> 2 × 22/7 × 12(18 + 12)
=> 44/7 × 12 × 30
=> 15840/7
=> 2262.8 cm²
Calculate the moment of inertia of the shaded area about the x-axis. 73 mm 73 mm 59 mm Answer: Ix= i ! (109) mm
The moment of inertia is a measure of the resistance of an object to rotational acceleration around a particular axis.
The moment of inertia of an area is equal to the sum of the products of the areas and the squares of the distances from an axis.Reference ImageFor calculating the moment of inertia of the shaded area about the x-axis, we can consider it as a sum of smaller areas.
The moment of inertia is given by the formula;I = ∫y²dAWhere,I is the moment of inertia of the area about x-axis.y is the perpendicular distance from the centroid of the element to the x-axisdA is the area elementFor the given shaded area, the moment of inertia can be calculated by dividing it into the following areas:A1 = 59 x 73A2 = 73 x 73A3 = (109 x 59) - A1 - A2The centroid of the element is at point O.
Reference ImageThe moment of inertia of each area can be calculated as follows:I1 = (1/12) x (59 x 73³)I2 = (1/12) x (73 x 73³)I3 = (1/12) x [(109 x 59³) - A1 x (82.5)² - A2 x (36.5)²]Where I1 and I2 are the moment of inertia of area A1 and A2 about x-axis, respectively.And, I3 is the moment of inertia of area A3 about x-axis.
Now, we can calculate the total moment of inertia of the shaded area about the x-axis as follows:Ix = I1 + I2 + I3Ix = [(1/12) x (59 x 73³)] + [(1/12) x (73 x 73³)] + [(1/12) x (109 x 59³ - A1 x 82.5² - A2 x 36.5²)]Ix = 86.734 x 10^6 mm⁴
The moment of inertia of the shaded area about the x-axis is 86.734 x 10^6 mm⁴.
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Find the inverse for each relation.
1. { (1, -3), (-2, 3), (5, 1), (6, 4) }
Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0.R′(x) = 0.06x^2 − 0.05x + 138
The demand function for the marginal revenue function is found as; p(x) = 0.02x² - 0.025x + 138.
Explain the term revenue function?The relationship between the demand function p(x) as well as the revenue function R(x) is given by the equation R(x)=xp(x), where x represents the quantity of units sold.In order to get the revenue function, we shall integrate the marginal revenue function R′(x).For the given question;
R′(x) = 0.06x² − 0.05x + 138
R(x) = ∫R′(x)dx
R(x) = ∫[0.06x² − 0.05x + 138] dx
R(x) = 0.06x³/3 - 0.05x²/2 + 138x + C
R(x) = 0.02x³ - 0.025x² + 138x + C
If R(0) = 0, revenue is 0.
Put x = 0.
0.02x³ - 0.025x² + 138x + C = 0
c = 0
Thus,
R(x) = 0.02x³ - 0.025x² + 138x
Factorizing the function,
R(x) = 0.02x³ - 0.025x² + 138x
R(x) = x(0.02x² - 0.025x + 138)
R(x) = xp(x) . Thus,
p(x) = 0.02x² - 0.025x + 138
Therefore, the demand function for the marginal revenue function is found as; p(x) = 0.02x² - 0.025x + 138.
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Solve the word problem with working out
Answer:
Assumptions:
All sausages will be eaten.
All bread will be eaten.
All tomato sauce will be used.
All cordial will be consumed.
The BOT will pay for 20% of the total cost of the food and drink.
The Parents Association will pay for 50% of the total cost of the food and drink.
The 60 students will share the remaining 30% of the total cost of the food and drink equally.
The cost of the food and drink will be rounded to the nearest cent.
Working:
To find the total amount of sausages needed, we divide the number of people by the number of people each kilogram of sausages can feed:
240 people ÷ 6 people/kg = 40 kg of sausages
The cost of sausages before discount is:
40 kg x $11/kg = $440
The discount is 15%, so the cost of sausages after discount is:
$440 - 0.15 x $440 = $374
To find the total number of loaves of bread needed, we divide the number of people by the number of people each loaf of bread can feed:
240 people ÷ 10 people/loaf = 24 loaves of bread
The cost of bread is:
24 loaves x $1.50/loaf = $36
To find the total number of bottles of tomato sauce needed, we divide the number of people by the number of people each bottle of tomato sauce can feed:
240 people ÷ 15 people/bottle = 16 bottles of tomato sauce
The cost of tomato sauce is:
16 bottles x $4.50/bottle = $72
To find the total amount of cordial needed, we multiply the number of people by the amount of cordial each person needs:
240 people x 200 mL/person = 48,000 mL of cordial
To dilute the cordial in the ratio 1 part cordial: 10 parts water, we need 11 parts of the mixture. So, the total amount of liquid needed is:
48,000 mL x 11 = 528,000 mL
To convert this to liters, we divide by 1,000:
528,000 mL ÷ 1,000 = 528 L
To find the number of bottles of cordial needed, we divide the total amount of cordial by the amount of cordial in each bottle:
528 L ÷ 0.75 L/bottle = 704 bottles of cordial
The cost of cordial is:
704 bottles x $3.50/bottle = $2,464
The total cost of food and drink is:
$374 (sausages) + $36 (bread) + $72 (tomato sauce) + $2,464 (cordial) = $2,946
The BOT will pay for 20% of this cost:
$2,946 x 0.20 = $589.20
The Parents Association will pay for 50% of this cost:
$2,946 x 0.50 = $1,473
The total cost that the 60 students will have to share is:
$2,946 - $589.20 (BOT contribution) - $1,473 (Parents Association contribution) = $883.80
Each student will have to pay an equal share of this cost:
$883.80 ÷ 60 students = $14.73
Therefore, each student will have to pay $14.73 to just cover the cost of the food
Step-by-step explanation:
Each student will have tο pay $0 tο just cοver the cοst οf the fοοd and drink.
What is the basic mathematical οperatiοns?The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.
Assumptiοns:
All 240 peοple attending will eat sausages, bread, and tοmatο sauce, and drink cοrdial.
The students will οnly need tο pay fοr the sausages, bread, tοmatο sauce, and cοrdial, as the BOT and Parents Assοciatiοn will cοver the rest οf the cοsts (such as utensils, plates, etc.).
The diluted cοrdial will be made in batches οf 750 mL (1 bοttle) and will be enοugh fοr 15 peοple, as stated in the prοblem.
1. Sausages:
240 peοple / 6 peοple per kg = 40 kg οf sausages neededOriginal cοst: 40 kg x $11/kg = $440Discοunted cοst: $440 x 0.85 = $3742. Bread:
240 peοple / 10 peοple per lοaf = 24 lοaves οf bread neededCοst: 24 lοaves x $1.50 per lοaf = $363. Tοmatο sauce:
240 peοple / 15 peοple per bοttle = 16 bοttles οf tοmatο sauce neededCοst: 16 bοttles x $4.50 per bοttle = $724. Cοrdial:
240 peοple x 200 mL per persοn = 48,000 mL οf cοrdial needed48,000 mL / 750 mL per bοttle = 64 bοttles needed (rοunded up)Cοst: 64 bοttles x $3.50 per bοttle = $224Additiοnal cοst fοr water: 48,000 mL / 10 = 4,800 mL οf cοrdial cοncentrate needed4,800 mL / 750 mL per bοttle = 6.4 bοttles needed (rοunded up tο 7)Cοst οf cοrdial cοncentrate: 7 bοttles x $3.50 per bοttle = $24.50Tοtal cοst οf fοοd and drink:
$374 + $36 + $72 + $224 + $24.50
= $730.50
The BOT will cοver 20% οf the cοst, which is
$730.50 x 0.2
= $146.10.
The Parents Assοciatiοn will cοver the remaining 80%, which is
$730.50 x 0.8
= $584.40.
The 60 students will share the balance οf the cοst, which is
$730.50 - $146.10 - $584.40
= $0.
Hence, each student will have tο pay $0 tο just cοver the cοst οf the fοοd and drink.
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write an absolute value equation representing the numbers that are 5 units from -2
The absolute value equation representing the numbers that are 5 units from -2 is |number + 2| = 5.
Absolute value equation:The non-negative value of a real number x, irrespective of its sign, is its absolute value (or modulus), | x |. For example, 5 has an absolute value of 5, and 5 has a value of 5. One way to think about a number's absolute value is as its distance from zero on the real number line.
The distance between a number and -2 is the absolute value of the difference between the two:
|number - (-2)| = distance
Since we want the numbers that are 5 units from -2, we can set the distance equal to 5:
|number - (-2)| = 5
Simplifying this equation, we get:
|number + 2| = 5
Therefore, the absolute value equation representing the numbers that are 5 units from -2 is |number + 2| = 5.
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Match each integer with one that divides it.
18
matches
Choice
9
-14
matches
Choice
7
11
matches
Choice
11
65
matches
Choice
13
Integers are a type of number used in mathematics that represent whole numbers. They are typically denoted by the symbol Z, and can be positive, negative, or zero.
Integers do not include fractions or decimal points, so they are distinct from real numbers.
In Mathematics, integers are the collection of whole numbers and negative numbers.
18 matches 9
-14 matches 7
11 matches - 65
13 matches 65
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Which inequality has no solution?
Answer:
b is your answer
Step-by-step explanation:
Answer:
The one with no solution is B
A shelter has 25 bags of cat food. Each serving of cat food is 1/8 of a bag.
How many servings of cat food are there in the bags in the pantry?
Answer:
200 servings.
Step-by-step explanation:
Divide number of bags by how much of a bag a serving is.
25/1/8
Multiply original number by reciprocal of what you are trying to divide it by. (This makes dividing fractions easier)
25*8/1=200
There are 200 servings of cat food.
Answer:
200
Step-by-step explanation:
i took the test hope this helps
There were 175
spectators at a concert. The box office sold 10
more adult tickets than twice the number of discounted student tickets.
How many more adults than students bought tickets to the concert?
There were 65 more adults than students who bought tickets to the concert.
How to find the number of hamburgers sold on Saturday?Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.
Let the number of discounted student tickets sold be x.
Then the number of adult tickets sold is 10 more than twice x, which is 2x+10.
The total number of tickets sold is the sum of the student and adult tickets, which is x + (2x+10) = 3x+10.
We know that the total number of tickets sold is 175, so:
3x+10 = 175
Subtracting 10 from both sides gives:
3x = 165
Dividing by 3 gives:
x = 55
Thus, the number of discounted student tickets sold is 55, and the number of adult tickets sold is:
2x+10 = 2(55) + 10 = 120.
The number of adults who bought tickets is 120, and the number of students who bought tickets is 55.
difference = 120 - 55 = 65
Therefore, there were 65 more adults than students who bought tickets to the concert.
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Your boss is submitting a report to an organization that ensures employees in your industry are paid fairly. He asked you to calculate some summary statistics including the range and the mean. The salaries are as follows: $48,000, $41,000, $29,000, $48,000, $32,000. Provide the statistics for your boss.
Answer:
hana,dul,set,kaenada-in
thankssss plzzz helpp
NEEEDDDD HELP ASSAP. This is about math help
So 1st off you divide 25.2 by 36 since it miles is the x and the cost is y
the unit rate is 0.7 since i divided those 2 numbers
now i just have to do 0.7 times 47
The answer is $ 32.9
sorry if its wrong?
☞ user58580~ ♥
(30 points and Brainliest)
If the value of a in the quadratic function f(x) = ax^2 + bx + c is 4, the function will_____.
A)open down and have a minimum
B)open up and have a minimum
C)open down and have a maximum
D)open up and have a maximum
Answer:
I honestly believe it's B I'm sorry if it's wrong
You start driving north for 6 miles, turn right, and drive east for another 19 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
Okay, here's the method I'm going to use.
If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.
19 miles
l_______________
6 milesl
l
You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.
a^2 + b^2 = c^2
6^2 + 19^2 = c^2
36 + 361 = c
397 = c
\(\sqrt{397}\) = 19.924859
Rounded to the nearest tenth, your answer is
19.9 miles
plz helpaaaaaaaaaaaa
Answer:
Hey there!
1 4/9x+y=2
13x+9y=18
Let me know if this helps :)
The Answer is B.
because
1 4/9x+y=2
13x+9y=18
Hope this helps!
Cuanto es el número 0.99 redondeado?
Answer:
1
Step-by-step explanation:
Answer:
el número 0,99 redondeado al centondre más cercano sigue siendo 0,99
Step-by-step explanation:
Find x
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP + EXPLAIN!!! Thx!
(NO LINKS PLEASE)
Answer:
Step-by-step explanation:
The area of a Trapezoid is
Area = (b1 + b2)*h/2
b1 and b2 are the two parallel sides of a trapezoid. In this problem, they are both given.
You are trying to find h (which is x here).
b1 = 13
b2 = 6.4
Area = 78
h = x = ?
78 = (6.4 + 13) * x / 2 Multiply both sides by 2
156 = (6.4 + 13) * x Combine the numbers in the brackets
156 = 19.4 * x Divide by 19.4
156 / 19.4 = x
x = 8.04
A set of n = 5 pairs of X and Y values has SSx = 16, SSy = 4 and SP = 2. For these data, what is the Pearson correlation?
The Pearson correlation coefficient for these data is 0.1. This suggests a weak, positive linear relationship between X and Y variables.
The Pearson correlation coefficient, also denoted as r, is a measure of the strength and direction of the linear relationship between two variables. In this case, we have a set of 5 pairs of X and Y values, with SSx = 16, SSy = 4 and SP = 2.
The sample standard deviations (Sx and Sy) for the X and Y variables. The sample covariance is defined as:
Sxy = (SP/n) - (SX/n)(SY/n)
Sxy = (2/5) - (sqrt(16)/5)(sqrt(4)/5) = 0.2
Next, we can calculate the sample standard deviations for X and Y using the formulas:
Sx = sqrt(SSx/(n-1)) = sqrt(16/4) = 2
Sy = sqrt(SSy/(n-1)) = sqrt(4/4) = 1
Finally, we can calculate the Pearson correlation coefficient using the formula:
r = Sxy/(SxSy) = 0.2/(2*1) = 0.1
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please help me, please and thank youuu! :D
Answer:
f = - \(\frac{19}{7}\)
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14
- 19 = 14k ( divide both sides by 14 )
- \(\frac{19}{14}\) = k
f = - \(\frac{19}{14}\) m ← equation of variation
When m = 2 , then
f = - \(\frac{19}{14}\) × 2 = - \(\frac{19}{7}\)
The blueprint of a garden uses 1/8 of an inch to represent 1/2 of a meter.
Part 1. How many meters are represented by 1 inch in the blueprint?
Part 2. How many inches in the blueprint represent 1 meter?
Answer:
1. 4
2. 1/4
Step-by-step explanation:
1. 8(1/8=1/2) = (1=4)
2. 2(1/2=1/8)=(1=1/4)
Which is the right answer and why did you pick that answer?
Answer:
B. 77%
the students that studied in the 4-5 hour range scored in the 70s. the ones that studied in the 6 hour range scored in the 80s.
I'd put 5 1/2 hours at around 80%, but the closest answer is the 77%
Find the vector equation of the line
y=6x−4
.
Correct answer selected
r(t)=(6+26t,32+156t)
r(t)=(6−26t,32+156t)
r(t)=(32+26t,6+156t)
r(t)=(6+156t,6+26t)
I hope someone seriously helps him :(
Step-by-step explanation:
sorry I couldn't help ya
Write your question here (Keep it simple and clear to get the best answer)striangle has vertices A(2;5); B(1;-2) and C(-5;1). Determine:(a) the equation of the line BC. (b) The equation of the perpendicular line from A to Bc
(a) y = \(\frac{-1}{2}\)x - \(\frac{3}{2}\)
(b) y = 2x + 3
Step-by-step explanation:
(a) The equation of a line given by points M(x₁, y₁) and N(x₂, y₂) is given by:
y - y₁ = m(x - x₁) -------------------(i)
Where;
m = \(\frac{y_2 - y_1}{x_2 - x_1}\) = slope or gradient of the line ---------------(ii)
Given points on the triangle are:
A(2,5)
B(1,-2)
C(-5,1)
To find the equation of line BC, we use the formulas in equations (i) and (ii) where the points of the line are B(1,-2) and C(-5,1) and;
x₁ = 1
y₁ = -2
x₂ = -5
y₂ = 1
==> First get the gradient using equation (ii) as follows;
m = \(\frac{y_2 - y_1}{x_2 - x_1}\) = \(\frac{1 - (-2)}{-5 -1}\)
m = \(\frac{3}{-6}\)
m = \(\frac{-1}{2}\)
==> Now, use equation (i) to find the equation of the line as follows;
y - (-2) = \(\frac{-1}{2}\)(x - 1)
y + 2 = \(\frac{-1}{2}\)(x - 1)
Multiply both sides by 2
2(y+2) = -1 ( x - 1 )
2y + 4 = -x + 1
2y = -x + 1 - 4
2y = - x - 3
y = \(\frac{-1}{2}\)x - \(\frac{3}{2}\)
Therefore, the equation of the line is y = \(\frac{-1}{2}\)x - \(\frac{3}{2}\)
(b) To find the perpendicular line from A to BC, note that
i. two lines are perpendicular if they meet at 90°
ii. the general equation of a line could also be written as y = mx + c where m is the slope and c is the intercept.
iii. when one line has a slope of m, then a perpendicular line to that line will have a slope of \(\frac{-1}{m}\)
The equation of line BC is y = \(\frac{-1}{2}\)x - \(\frac{3}{2}\).
This means that BC has a slope of \(\frac{-1}{2}\)
A perpendicular line from A to BC will have a slope of 2.
Now to get the equation of this perpendicular line from A(2, 5) to BC, we use the general equation of a line given in equation (i)
where;
m = 2
x₁ = 2
y₁ = 5
Substitute these values into equation (i)
y - 5 = 2(x - 2)
Solving by simplification gives;
y - 5 = 2x - 2
y = 2x + 3
Therefore, the equation of the perpendicular line is y = 2x + 3
The original price of a coat is $90. It is on sale for 20% off. How much will you pay if you buy the cost during the sale?
Answer:
72$
Step-by-step explanation
How to insert in a calculator 90-20%= 72
How to take 20% from a price
Divide the original price by 5. 18
Subtract this new number from the original one. 90 - 18
The number you calculated is the discounted value. 90 - 18 = 72
help i need to turn this in tomorrow
Answer:
a
Step-by-step explanation:
reflections across x=-1
Can the triangles be proven congruent if so how?
Triangles can be proven congruent by using the congruency theorems - SSS, SAS, ASA, and AAS.
Congruency is shown by the sign (≅). It is when the given figures have the same shape and size.
To prove that the given triangles are congruent there are some rules, one of which it must satisfy in order to prove its congruency. The theorems are stated below-
SSS rule: if 3 sides of the given triangles are equal, then the triangles are congruent.
SAS rule: if 2 sides and an angle of the given triangles are equal, then the triangles are congruent.
ASA rule: if 2 angles and a side (in the middle of the angles)of the given triangles are equal, then the triangles are congruent.
AAS rule: if 2 angles and a side(adjacent to the angles) of the given triangles are equal, then the triangles are congruent.
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Which of the following correlation coefficients represents the weakest correlation between two variables?
Select one:
A. -0.10
B. -1.00
C. 0.02
D. 0.10
The correlation coefficient measures the strength and direction of the linear relationship between two variables. The value of the correlation coefficient ranges from -1 to 1.
Among the given options, the correlation coefficient that represents the weakest correlation between two variables is:
C. 0.02
A correlation coefficient of 0.02 indicates a very weak positive or negative linear relationship between the variables, as it is close to zero. In comparison, options A (-0.10) and D (0.10) represent slightly stronger correlations, while option B (-1.00) represents a perfect negative correlation.
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quick please !!!!!!! urgent need it now
Answer:
180 seconds or 3 minutes
Step-by-step explanation:
you need to find the least common multiple