Ava pours 3 gallons of paint equally into 5 cans. How many gallons of paint will there be in each can?
Answer:
0.6
Step-by-step explanation:
first you well have a 3 and then dived it by 5 and after you dived them to you well get the answer 0.6
Find the cofactors of A, place them in the matrix C, then use ACT to find the determinant of A, where: [1 1 47 A= 1 2 2 1 2 5]
The cofactor of A is C = [-3 0; 0 -46], and the determinant of A is -3.
The cofactor of each element in a 2x2 matrix is found by switching the signs of the elements in the determinant when the sum is taken (i.e. changing the sign of one element in the determinant if it is in an odd-numbered row or column).
For a 2x2 matrix A = [a b; c d], the determinant is given by det(A) = ad - bc.
For the given matrix A = [1 1 47; 1 2 2; 2 5 1], the cofactor matrix C is found by finding the determinant of each 2x2 sub-matrix obtained by excluding one row and one column of A.
C = [(-1)(2-5) (1)(2-2); (1)(1-1) (-1)(1-47)].
C = [-3 0; 0 -46].
To find the determinant of A using the cofactor matrix C, we take the sum of the products of the elements in each row of A and the corresponding elements in each column of C.
det(A) = 1*-3 + 10 + 470 + 10 + 20 + 2*-46 = -3.
So the determinant of A is -3.
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Low flow showerheads use 2 1/2 gallons of water per minute. If family members shower a total of 2 1/3 hours per week, how much water does the family use for showers each week? Write an expression that represents the problem. Then solve the problem
The expression that represents the situation is (5/2)x = y and the family uses 350 gallons of water for each week.
First, we convert the given fractions into improper fractions as follows;
2 1/2 = 5/2
2 1/3 = 7/3
As the showerhead uses 5/2 gallons of water per minute an expression for this situation can be given as;
(5/2)x = y
Here x is the amount of time in minutes and y represents the gallons of water used by the family each week
As the family uses the showerhead for 7/3 hours per week, we first convert the hours into minutes as follows;
(7/3) × 60 = 140 minutes
Now substituting this value in the equation (5/2)x = y;
(5/2)x = y
(5/2)140 = y
y = 350 gallons
Therefore, 350 gallons of water is used by the family per week.
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let r be a relation on a set a. prove or disprove: if r is antisymmetric, then r is irreflexive.
R is a counter-example of the given statement. Consequently, if r is antisymmetric, it does not necessarily mean that r is irreflexive.
To prove or disprove the statement that if r is antisymmetric, then r is irreflexive, it is necessary to provide an example of a relation that is antisymmetric but not irreflexive. Hence, the statement is false. Antisymmetry in a relation R is described as the absence of both a, b such that a R b and b R a. It implies that the relation is asymmetric, which means that it cannot be irreflexive if the relation has a loop, a R a. As a result, it is essential to create a relation that is antisymmetric but not irreflexive.
Consider the relation R = {(a, a), (a, b), (b, c)}. R has a loop, which means that it cannot be irreflexive since it is a partial order. At the same time, it is antisymmetric because there is no pair (x, y) such that (x, y) and (y, x) belong to R.
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How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 2 7/10 mph
Answer:
5/6 hours equivalent to 50 minutes
Step-by-step explanation:
Speed = distance / time
Speed = 2 7/10 miles per hour
Distance = 2 1/4 miles
Time = x hours
Speed = distance / time
2 7/10 = 2 1/4 / x
27/10 = 9/4 / x
Cross product
27/10 * x = 9/4
27/10x = 9/4
Divide both sides by 27/10
x = 9/4 ÷ 27/10
= 9/4 × 10/27
= 1/2 × 5/3
= 5/6 hours
5/6 hours
= 5/6 × 60 minutes
= 50 minutes
Therefore, it will take Alex 5/6 hours equivalent to 50 minutes to walk to his school
Answer:
5/6
Step-by-step explanation:
your welcome :)
helppppooloooooppppppp
Answer:
13) 17 14) 8
Step-by-step explanation:
13) i counted the distance
14) same thing lol
please help factorise 7ab+a
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).
The surface area of a right cone is 364 square inches. If the slant height of the cone is 6.5 inches, what is the radius of the cone in inches? Round to the nearest inch.
The radius of the cone to the nearest inch is equal to 8.0 inches.
How to calculate surface area of a cone?In Mathematics and Geometry, the surface area (SA) of a cone can be calculated by using this mathematical expression:
Surface area (SA) of a cone = πr(l + r)
Where:
l represents the slant height of the cone.r represents the radius of the cone.By substituting the given parameters into the formula for the surface area (SA) of a cone, we have the following;
364 = 3.14 × r(6.5 + r)
115.92 = 6.5r + r²
r² + 6.5r + 115.92 = 0
By solving the quadratic function, we have:
Radius, r = (-20.41 + √4988.4081)/6.28
Radius, r = 7.9966 ≈ 8.0 inches.
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rotate the given triangle 180° counterclockwise about the origin. Help!!!!
Answer: (read vertically) [0,0/3,-1/-5,-2]
Step-by-step explanation:
[-1, 0] times [0, -3, 5]
[0, -1] [0, 1, 2]
hopefully this makes sense.
The rotated triangle by 180° counterclockwise about the origin is \(\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right]\)
How to rotate the triangle?The coordinates of the triangle are given as:
\(\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]\)
The rotation is given as:
180° counterclockwise about the origin.
The rule of 180° counterclockwise about the origin is:
(x,y) ⇒ (-x,-y)
Using the above rule, we have:
\(\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right]\)
Hence, the rotated triangle is \(\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right]\)
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The area of a square poster 26 inch. 2. Find the length of one side of the poster to the nearest tenth of an inch.
Answer:
6.5 inches
Step-by-step explanation:
Divide 26 by 4
26/4=6.5
The length of one side of the poster to the nearest tenth of an inch is 5.1 inches.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
Given; The area of a square poster 26 inch
We need to find the length of one side of the poster to the nearest tenth of an inch.
The area of a square would be S^2
26 = S^2
s = sqrt(26) = 5.099
Then rounded to nearest tenth = 5.1 inches
Hence, the length of one side of the poster to the nearest tenth of an inch is 5.1 inches.
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Can you guys plz help me thanks
Answer:
We can just multiply 11/6 by 180 which is 330°.
In both the Vendor Compliance at Geoffrey Ryans (A) and
Operational Execution at Arrows Electronics there are problems and
challenges. Integrate the problems and challenges from both
cases.
In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.
One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.
Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.
Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.
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The length of a rectangular pool is 5 and the width is 5x-2. Which of the following expressions can be used to find the area?'
PLSS HELP NOW PLSSSSSS I WILL GIVE YOU BRAINLEST
Answer:
The answer is c
Step-by-step explanation:
Source: Trust me bro
What is 3.30 divided by -2.00?
Answer:
-1.65
Step-by-step explanation:
3.3/(-2)=-1.65
Complete the statements to verify that the triangles are similar.
QR/TU = __
PR/SU = __
PQ/ST = 52/13 = __
Therefore, △PQR ~ △STU by the _______ theorem.
The answer is that we cannot verify the similarity of triangles △PQR and △STU based on the given information. The missing ratios QR/TU and PR/SU cannot be determined without additional data or measurements. Only the ratio PQ/ST can be determined, which is equal to 4. Therefore, we do not have enough information to conclude that △PQR and △STU are similar triangles.
To verify that the triangles △PQR and △STU are similar, we can compare the ratios of their corresponding sides.
We have:
QR/TU = ?
PR/SU = ?
PQ/ST = 52/13 = ?
To find the missing values, we can use the property of similar triangles that states the corresponding sides of similar triangles are proportional.
Let's find the missing values one by one:
1. QR/TU:
We don't have enough information to determine the value of QR/TU. It is not possible to establish a ratio without additional data or measurements.
2. PR/SU:
Similarly, we cannot determine the value of PR/SU without more information or measurements.
3. PQ/ST:
Given PQ/ST = 52/13, we can simplify the ratio:
PQ/ST = (4*13)/(1*13) = 4/1 = 4.
Therefore, PQ/ST = 4.
Since we were unable to determine the values of QR/TU and PR/SU, we cannot conclude that △PQR and △STU are similar triangles based on the given information.
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NO LINKS!!!! REAL ANSWER! 50 points! PLEASE!!!!! I've been here for an hour!!!!
Awsner:
Yes it's C
Hope this helps :D
Answer:
C.
Step-by-step explanation:
Lets start with the first half of each statement. We know function f is going up when x is negative. Function g also has to be going up when x is negative because there is no x intercept. This means it can not go down.
Because of this, we can eliminate answer A and B.
Now for the second half of the statements.
Function f starts to even out as x goes up. Function g also has to start leveling out since there is not x-intercept.
Since these graphs are similar in both ways, it has to be C.
Help please, thanks :)
Answer:
х=6
Step-by-step explanation:
\(7 + 5(x -3 ) = 22 \\ 7 + 5x - 15 = 22 \\ 5x = 22 - 7 + 15 \\ 5x = 30 \\ x = 6\)
Answer:
C
x=6
Step-by-step explanation:
A lamppost casts a shadow that is 15 yards long. A 3-foot-tall mailbox casts a shadow that is 5 yards long. How tall is the lamppost?
The lampost is feet tall.
Answer:
I think the answer is 9 feet
Step-by-step explanation:
Solve the quadratic inequality
4x^2-25<0
I hope it helps you ❤️❤️❤️❤️
The solution to the inequality, 4x^2 - 25 < 0 is determined as x < 5/2.
Solution to the inequality
The solution to the inequality is obtained by solving the inequality as shown below;
4x^2 - 25 < 0
add 25 to both sides of the equation;
4x² < 25
divide both sides by 4
x² < 25/4
take square root of both sides
x < 5/2
Thus, the solution to the inequality, 4x^2 - 25 < 0 is determined as x < 5/2.
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what is the answer 6u+2(u-8) - 4
Answer:
8u - 20
Step-by-step explanation:
An architect makes a model of a new house with a patio made with pavers. In the model, each paver in the patio is 2/3 in. long and 1/2 in. wide. The actual dimensions of the pavers are shown. Complete parts a and b. A. What is the constant of proportionality that relates the length of a paver in the model and the actual length? Write an equation that represents this relationship.
real paver length = 9 *model's paver length
constant of proportionality = actual length of paver/length of the paver in mode
constant of proportionality = 6 / (2/3) = 9
This indicates that a paver's actual length is nine times greater than its length in the model. This connection can be expressed as:
The actual paver length is equal to 9 times the model's paver length.
or, using variables:
Actual length = 9 times the model length.
what is the constant of proportionality?
proportionality, equivalence between two ratios in algebra. A and B are in the same ratio as C and D in the formula a/b = c/d. When one of our proportionality quantities is unknown, a proportion is often built up to resolve the word problem. By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved. Every relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.
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9 2/3 + 4 1//5 what the answer to this i am lost please hep
Answer: 13 13/15
Step-by-step explanation:
I need some help pretty please
Answer:
y + 32 = 3( x + 8 )
Step-by-step explanation:
point slope form: y-y1 = m(x-x1)
first we need to find the rate of change or the slop. We find that by dividing the difference in the y values from the cordinates by the x values from the cordinates (y2-y1/x2-x1)
so, 1 -- 32 / 3 -- 8 = 1 + 32 / 3 + 8 = 33/11 = 3
m = 3
With this information we can plug the cordinate (-8,-32) into the point slope equation.
y -- 32 = 3( x -- 8)
=
y + 32 = 3( x + 8 ) <---- Answer
and if you ever want to turn this into standard slope form all you have to do is distribue three to 'x' and '8' then subtract 32 from both sides.
y = 3x - 8
Answer:
Step-by-step explanation:
Need help please thanks
Answer:
cosC = \(\frac{8}{10}\)
Step-by-step explanation:
cosC = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{8}{10}\)
A married couple had a combined annual income of $58,000. The wife made $2000 more than her husband. What was each of their incomes?
Answer:
Let the income of husband be X
The income of wife will be = X+2000
Combined income of couple will be= (X+2000) + X
= 2X+2000
It is given that combined income of couple is = 58000
Therefore 2X+2000= 58000
2X = 58000-2000
2X = 56000
X= 56000/2 = 28000
Therefore Income of husband is 28,000
and Income of wife = 28000+2000= 30,000
Step-by-step explanation:
Pls solve with all steps
The results of the expressions involving logarithms are listed below:
Case 1: 1 / 2
Case 2:
Subcase a: 0
Subcase b: 11 / 2
Subcase c: - 11 / 2
How to simplify and evaluate expressions involving logarithmsIn this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:
㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c
㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c
㏒ₐ cᵇ = b · ㏒ₐ c
Now we proceed to determine the result of each case:
Case 1
㏒ ∛8 / ㏒ 4
(1 / 3) · ㏒ 8 / ㏒ 2²
(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)
㏒ 2 / (2 · ㏒ 2)
1 / 2
Case 2:
Subcase a
㏒ [b / (100 · a · c)]
㏒ b - ㏒ (100 · a · c)
㏒ b - ㏒ 100 - ㏒ a - ㏒ c
3 - 2 - 2 + 1
0
Subcase b
㏒√[(a³ · b) / c²]
(1 / 2) · ㏒ [(a³ · b) / c²]
(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²
(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c
(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c
(3 / 2) · 2 + (1 / 2) · 3 + 1
3 + 3 / 2 + 1
11 / 2
Subcase c
㏒ [(2 · a · √b) / (5 · c)]⁻¹
- ㏒ [(2 · a · √b) / (5 · c)]
- ㏒ (2 · a · √b) + ㏒ (5 · c)
- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c
- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c
- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c
- 1 - 2 - (1 / 2) · 3 - 1
- 4 - 3 / 2
- 11 / 2
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Write an absolute value equation that has the solutions x= -10 and x = -5
Answer:
∣x + 7.5∣ = 2.5
Step-by-step explanation:
∣x + 7.5∣ = 2.5
x + 7.5 = -2.5 OR x + 7.5 = 2.5
-7.5 -7.5 -7.5 -7.5
-------------------- ----------------------
x = -10 x = -5
As you can see, the equation ∣x + 7.5∣ = 2.5, satisfies both of the x values, x=-10 and x=-5.
The absolute value equation that has solutions x= -10 and x = -5 is | x + 7.5 | = 2.5.
What is an absolute function ?Absolute value function is always positive |x| = a implies x = a Or - x = - a
According to the given question we have to write a equation we have to write an absolute value equation that has solution x = -10 and x = - 5.
Let the absolute value be ∣x + 7.5∣ = 2.5.
∴ x + 7.5 = 2.5 OR - ( x + 7.5 ) = 2.5
x + 7.5 = 2.5
x = 2.5 - 7.5
x = - 5.
OR
- ( x + 7.5 ) = 2.5
- x - 7.5 = 2.5
- x = 2.5 + 7.5
- x = 10
x = - 10.
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any point on the perpendicular bisector of a segment is
It is correct to say that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.
Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. What is a perpendicular bisector? A perpendicular bisector is a line that intersects a line segment and forms a 90-degree angle. It divides the line segment into two equal halves.Each point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment. This means that the distance from any point on the line to one endpoint of the segment is the same as the distance to the other endpoint of the segment.
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5.
Annette earns $30 in 2 hours and Carla earns $96 in 6 hours. Who has the
higher hourly rate?
A
Answer:
Carla
Step-by-step explanation:
First we need to find the hourly rate for Annette
Take the dollars earned and divide by the number of hours
30/2 = 15 dollars per hour
Now we can find the hourly rate for Carla
96/6 =16 dollars per hour
Carla has the higher hourly rate since she earns more per hour
3/4 divided by 2 in fraction i need the answer asap i just cant think today
Answer:
3/8
Step-by-step explanation:
3/4 ÷ 2
= 3/8
Answer:
3/8
Step-by-step explanation:
So 3/8 ÷ 2 can be rewritten as 3/4 x 1/2
(In my opinion, this is easier)
So you calculate that, and it's 3/8
hope this helps:/