2 At a gym, Arun lifts 2 kg and 4 kg weights. Find the total mass of four 2 kg weights and three 4kg weights. Arun lifts x 2 kg weights and y 4kg weights. The total mass is 22 kg. Write a function to show this.

Answers

Answer 1

Answer: Let's use the given information to write a function that calculates the total mass of weights in kilograms:

def calculate_weight(x, y):

# x is the number of 2 kg weights, y is the number of 4 kg weights

total_mass = 2 * x + 4 * y

To check if this function is correct, we can use the second piece of information provided: "Arun lifts x 2 kg weights and y 4kg weights. The total mass is 22 kg." This gives us an equation we can solve for x and y:

2x + 4y = 22

We can simplify this equation by dividing both sides by 2:

x + 2y = 11

Now we have a system of two equations:

x + 2y = 11

2x + 4y = 22

We can solve for x and y using any method we choose. For example, we can solve for x in the first equation:

x = 11 - 2y

Substituting this into the second equation gives:

2(11 - 2y) + 4y = 22

Expanding the brackets gives:

22 - 4y + 4y = 22

The y terms cancel out, leaving:

22 = 22

This is true, so the solution is consistent. Therefore, we can conclude that if Arun lifts four 2 kg weights and three 4kg weights, the total mass of weights will be 22 kg. We can verify this using our function:

>>> calculate_weight(4, 3)

Therefore, our function is correct.

Step-by-step explanation:

Related Questions

If three -fourth of a number is one -tenths ,what is the number ...

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Answer:

Step-by-step explanation:

(3/4)x = 1/10

multiply both sides by 4/3

x = (1/10)(4/3) = 2/15

help me with this plissssss

Answers

Answer: 1st and 3rd 2nd and fourth hope this helps :3

Step-by-step explanation:

Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants to be paid at least $500. Which inequality can be used to find the number of sales she needs to make?
A. 100-15x ≤ 500
B. 100+15x ≤ 500
C. 100-15x ≥500
D. 100+15x ≥ 500

Answers

Answer:

its B I think so yea

Step-by-step explanation:

Select all statements that are true about the graph of ordered pair (5, -1).

Answers

Answer:

2nd and 3rd options are the right answers

Step-by-step explanation:

The point is in the fourth quadrant

The point is 1 unit below x axis

The measure of ∠DAB is 25° as shown in the figure. What is the measure of ∠EAC if AE and AC are 2 times longer than AD and AB?

Answers

The measure of ∠EAC is 25°

It is given that the measure of ∠DAB is 25°

let AD = x and AB = y. Then, AE = 2 x and AC = 2 y, since AE and AC are 2 times longer than AD and AB, respectively.

AB / AC = AD / AE

y / 2 y = x / 2 x

1 / 2 = 1 / 2

We know that if two triangles are similar, then the ratio of its corresponding sides will be equal.

So triangle BAD similar to triangle CAE

So ∠DAB = ∠EAC

∠EAC =25°

Therefore, the measure of ∠EAC is 25°

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The measure of DAB is 25 as shown in the figure. What is the measure of EAC if AE and AC are 2 times

To avoid a large, shallow reef, a ship set a course from point A and traveled 25 miles east to point B. The ship then turned and traveled 31 miles south to point C. If the ship could have traveled in a straight line from point A to point C, about how many miles could it have saved?
99 POINTS AVALIBLE

Answers

Answer:

16.18 miles could have been saved (nearest hundredth)

Step-by-step explanation:

Distance of original journey = 25 + 31 = 56 miles

Using Pythagoras' Theorem to calculate distance AC:

a² + b² = c²

⇒ 25² + 31² = AC²

⇒ 1586 = AC²

⇒ AC = 39.82461... miles

Difference = 56 - 39.82461 = 16.17538... miles

Therefore, 16.18 miles could have been saved.

To avoid a large, shallow reef, a ship set a course from point A and traveled 25 miles east to point

AB=25BC=31

Apply Pythagorean theorem

$\\ \tt\hookrightarrow AC^2=AB^2+BC^2$

$\\ \tt\hookrightarrow AC^2=31^2+25^2$

$\\ \tt\hookrightarrow AC^2=961+625$

$\\ \tt\hookrightarrow AC^2=1586$

$\\ \tt\hookrightarrow AC=39.8mi$

Total distance=25+31=56miDistance could saved=56-39.8=16.2mi

HELP ASAP! 20 POINTS
Translate the sentence into an equation
the sum of 3 times a number and 8 is 5
(use the variable x for the unknown number

Answers

Answer:

3(x+8)=5

Step-by-step explanation:

Hope it's correct and sorry if it's not

Answer:

8+5 (3 times x)

Step-by-step explanation:

Please mark me as brainliest

Can someone help me with this problem.

Answers

Answer:

D, 14 units

Step-by-step explanation:

Both coordinates have -5, so we know that 8 and -6 are at the same line.

We find the absolute value...

So 8=8 and -6=6. Lastly, we add them from 0 and 8+6= 14.

ANSWER IS 14 UNITS!!

Elena is knitting a design on a sweater. The first row has 10 stitches and each
additional row has 7 stitches more than the row before it. How many stitches are in
the 12th row?
A.74
B.70
C.87
S.86

Answers

Answer: 87

Step-by-step explanation:

This will be solved using an arithmetic progression. The formula will be:

= a + (n - 1)d

where,

a = first term = 10

d = common difference = 7

n = 12

Therefore, 12 term will be:

= a + (n - 1)d

= 10 + (12 - 1) × 7

= 10 + (11 × 7)

= 10 + 77

= 87

Therefore, the number of stitches that are in the 12th row will be 87.

1. suppose a is m n with linearly independent columns and b is in rm. use the normal equations to produce a formula for bo, the projection of b onto col a. [hint: find xo first. the formula does not require an orthogonal basis for col a

Answers

The matrix that sends b to bˆ is $A(A^{T} A)^{-1} A^{T} b$

A collection of integers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix, are the integers. In addition to several mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

Given Ax = b, we know that xˆ solves the least squares problem:

xˆ $= (A^{T} A)^{-1} A^{T} b$

And that bˆ = Axˆ. Therefore, we get bˆ by multiplying both sides of our previous equation by A:

bˆ = Axˆ $= A(A^{T} A)^{-1} A^{T} b$

Therefore, the matrix that sends b to bˆ is $A(A^{T} A)^{-1} A^{T} b$.

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Find the measure of angle AEB

Answers

Answer:

∠ AEB = 114°

Step-by-step explanation:

the chord- chord angle AEB is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

∠ AEB = $\frac{1}{2}$ (AB + CD) = $\frac{1}{2}$ (140 + 88)° = $\frac{1}{2}$ × 228° = 114°

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE =2x, BE = y +10, CE =x+2 and
DE = 4y - 8. Find x.
A. 4
B. 6
C. 2
D. 8

Answers

Answer:

x = 2

Step-by-step explanation:

Given parallelogram ABCD with diagonals AC and BD intersect at point E, then;

AE = CE and BE = DE

Given;

AE =2x, BE = y +10, CE =x+2 and DE = 4y - 8.

Recall that AE = CE

2x = x+2

2x - x = 2

x = 2

Hence the value of x is 2

If the maximum of a data set is 50 and the minimum of the set is 10, what is the range?

Answers

Answer:

explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.

Solve the inequality and write the solution using:
the inequality

Answers

X < 16 is the answer lleelien

Calculate the slope of the line that passes through the points (0,3) and (2, -3).

Slope = _________

Answers

Answer:

-3

Step-by-step explanation:

As included in the image you put, slope is rise over run or y2-y1/x2-x1.

y2-y1/x2-x1

we'll replace x and y with the coordinate points given

-3 - 3/2-0

-6/2 simplify

-3/1

slope is -3/1 or -3.

Slope = y2 - y1 / x2 - x 1

-3 - 3 = -6
2 - 0 = 2

-6/2 = -3

m (slope) = -3

Write a function to represent the number of patients she sees, , and the number of hours, , the hygienist works after lunch on Monday.

Answers

Answer:

y= between 9-10 patients, round down to 9

Step-by-step explanation:

y= 9/4x + 5

y = 9/4(2) + 5

y = 9.5

y= between 9-10 patients, round down to 9

The average (A) of two numbers, m and n, is given by the formula A = m+t/2 . Find
the average of the two numbers 36 and 72.
The solution is

Answers

Answer:

$54$

Step-by-step explanation:

Formula for average A of two numbers m and n is:

$A=\frac{m+n}{2}$

Substitute the value m=36 and n=72

$A=\frac{36+72}{2}$

This is equivalent to:

$A=\frac{108}{2}$

The average is:

$A=54$

11TimAtt8хGiven: W XY is a line and ZWXZ = 135Prove: 45 = m2ZXYComplete the proof. Number your reasons in the textbox below.ReasonsStatementsWXY is a line and ZWXZ = 135mZW XY = 180°1.2.mZW XY = m2WXZ + m2ZXY3.4.180 = 135 + m2ZXY45 = m2ZXY5.EditView Insert FormatTools Table

Answers

Statements and reasons.

1) WXY is a line and ∠WXZ = 135°

Reasons: This statement is true because it is stated in the question.

2) m∠WXY = 180°

Reasons: This statement is true because the angle of a straight line is always 180°.

3) m∠WXY = m∠WXZ + m∠ZXY

Reasons: This statement is true because the angles on one side of a straight line (m∠WXZ and m∠ZXY) always add to 180°.

4) 180° = 135° + m∠ZXY

Reasons:

- by the definition of the question, we know that ∠WXZ = 135° (statement 1)

- from statement 2 we know that m∠WXY = 180° (statement 2)

- replacing the angles of statement 1 and 2 in the equation of statement 3 we find the equation: 180° = 135° + m∠ZXY

5) 45° = m∠ZXY

Reasons: From statement 4 we find that:

$\begin{gathered} 180^{\circ}=135^{\circ}+m\angle ZXY \\ m\angle ZXY=180^{\circ}-135^{\circ} \\ m\angle ZXY=45^{\circ} \end{gathered}$

In summary, the reasons are:

1) It is stated in the question.

2) The angle of a straight line is always 180°.

3) The angles on one side of a straight line add 180°.

4) Replacing statement 1 and 2 in statement 3.

5) Solving for m∠ZXY the equation of statement 4.

Daniel has 102 stamps. Manuel has twice as many stamps as Daniel. Kendra has twice as many stamps as Manuel. How many stamps do they have in all?

Answers

Answer:

They have 714 stamps in all.

Step-by-step explanation:

Daniel has 102 stamps, and since Manuel has twice that, u multiply it two.

102 x 2 = 204.

Multiply THIS amount by two to get kendra's amount.

204 x 2 = 408.

Then, add 102, 204, and 408.

102 + 204 + 408 = 714

Answer:

There are 714 total stamps.

Step-by-step explanation:

Daniel has 102 stamps, so 102 is our first number.

Manuel has 2x as many stamps as Daniel (who has 102) so we do...

102 x 2 = 204

204 is our second number.

Kendra has 2x as many as Manuel (who has 204).

204 x 2 = 408

408 is our third number.

Now we add the three stamp numbers together to get the total:

102 + 204 + 408 = 714

There are 714 total stamps.

When a stone is dropped from the top of a tower, the distances metres it falls in t seconds is given by s = 10?. Find how far it falls in 3 seconds?

Answers

Answer: 45 meters

Step-by-step explanation:

The given equation is:

s = (1/2) * g * t^2

Where,

g = acceleration due to gravity = 10 m/s^2 (approximate value)

To find the distance it falls in 3 seconds, we can substitute t = 3 in the above equation:

s = (1/2) * g * t^2

s = (1/2) * 10 * 3^2

s = (1/2) * 10 * 9

s = 45 meters

Therefore, the stone falls 45 meters in 3 seconds.

What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?

Answers

The three consecutive multiples of 3 are 15, 18 and 21

To solve this problem

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

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Please help me find the equation xx

Answers

9514 1404 393

Answer:

(2x-10) +x +(x+10) = 180x = 45(2x-10)° = 80°(x+10)° = 55°x° = 45°

Step-by-step explanation:

The equation is an expression of the fact that the sum of the angles in a triangle is 180°.

(2x -10)° +x° +(x +10)° = 180°

For the purposes of the answer box, I'd leave off the degree symbol:

(2x -10) +x +(x +10) = 180

This simplifies to ...

4x = 180

x = 45

Then the angles (CW from top) are ...

(2·45 -10) = 80°

(45 +10)° = 55°

(45)° = 45°

A particular disease is tested for and the results determine that it occurs in about 1 of every 750 Hispanic females and about 1 of every 138,000 non-Hispanic females 26,000 Hispanic females were to be tested, about how many of them would you expect to have this particular disease?

Answers

Approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

Hispanic female;

A woman or girl who identifies as Hispanic or Latino, which usually refers to persons of Spanish-speaking origin or lineage from Latin America or Spain, is referred to as a "Hispanic female."

The proportion of Hispanic females with the disease is 1 in 750, which can be expressed as:

1 / 750 = 0.001333

This means that for every 750 Hispanic females, one is expected to have the disease.

To calculate the expected number of Hispanic females with the disease in a group of 26,000, we can multiply the proportion by the total number of Hispanic females:

0.001333 * 26,000 = 34.658

So we would expect approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

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need help i dont understand

Answers

Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

Given the graphs of f(x) and g(z) below, find the composition of functions f(g(-1)).

Answers

The composition of the functions, f(g(-1)) = 2.

How to Find the Composition of Functions?

To find the composition of the functions, f(g(-1)), first, find the function, g(-1) by tracing the value of y that will give an x-value of -1 on the function graph.

The next step is to use the value you get in the first step to trace which value of y will give an x-value equivalent to what you got in the first step on the second function graph.

Thus, from the graph of g(x), g(-1) = 0. Using the graph of f(x), the value of y when x = 0 is 2.

Therefore, the composition of the functions, f(g(-1)) = 2.

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Instructions: Match the following with the best method to use to solve the given system of linear equations.

Answers

Given:

System of linear equations.

Explanation:

System 1:

$\begin{gathered} y\text{ = 3x + 15 } \\ y\text{ = 2x + 11} \end{gathered}$

The above system of equations can be simplified ELIMINATION BY SUBTRACTION.

System 2:

$\begin{gathered} 7x\text{ - 2y = 0} \\ y\text{ = 6x + 5} \end{gathered}$

The above system of equations can be simplified using the SUBSTITUTION METHOD.

System 3:

$\begin{gathered} -3x\text{ - 5y = -5} \\ -3x\text{ + 5y = 5} \end{gathered}$

The above system of the equation can be simplified using ELIMINATION BY SUBTRACTION.

System 4:

$\begin{gathered} -5x\text{ - 4y = -6} \\ -7x\text{ - 4y = -2} \end{gathered}$

The above system of the equation can be simplified using ELIMINATION BY SUBTRACTION.

System 5:

$\begin{gathered} 5x\text{ + 2y = 0} \\ 15x\text{ + 7y = 0} \end{gathered}$

The above system of the equation can be simplified using ELIMINATION BY MULTIPLICATION.

To determine the average price of hotel rooms in Atlanta, a sample of 49 hotels was selected and the sample mean price of hotel rooms, top enclose y is $120. The population standard deviation was found to be $16. What is the standard error of top enclose y

Answers

Answer:

Standard error of top enclose y = 2.29

Step-by-step explanation:

The formula for Standard error = σ/√n

σ is the population standard deviation = $16

n is random number of samples = 49 hotels

Hence,

Standard error = 16/√49

= 16/7

= 2.2857142857

Approximately = 2.29

Therefore, the Standard error of top enclose y = 2.29

1. 47 degrees 2. 62 degrees
B. Find the supplement of each angle:
1. 95 degrees. 2. 126 degrees. 3. 149 degrees

Answers

The supplement of 95 degrees is 85 degrees,

the supplement of 126 degrees is 54 degrees the supplement of 149 degrees is 31 degrees

How to determine the supplement

The supplement of an angle is the angle that, when added to the original angle, equals to 180 degrees.

To find the supplement of a given angle, we can simply subtract the angle from 180 degrees.

The supplement of 95 degrees is 180 - 95 = 85 degrees.The supplement of 126 degrees is 180 - 126 = 54 degrees.The supplement of 149 degrees is 180 - 149 = 31 degrees.

Answers

Answer:

Who picks up that many pecans?

Step-by-step explanation:

i get bored after like 30. jeez.

HELP NO LINKS THOUGH!!!!!!!!

Answers

$ \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} $

$\sf \longmapsto \frac{4}{3} \div \frac{7}{4} $

$\sf \longmapsto \frac{4}{3} \times \frac{4}{7} $

$\sf \longmapsto \frac{4 \times 4}{3 \times 7} $

$\sf \longmapsto \frac{16}{21} $

Therefore, the answer is :

$\sf \frac{16}{21} $

$ = > 1 \frac{1}{3} \div 1 \frac{3}{4} $$ = > \frac{4}{3} \div \frac{7}{4} $$ = > \frac{4}{3} \times \frac{4}{7} $$ = > \frac{16}{21} $

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2 At a gym, Arun lifts 2 kg and 4 kg weights. Find the total mass of four 2 kg weights and three 4kg weights. Arun lifts x 2 kg weights and y 4kg weights. The total mass is 22 kg. Write a function to show this.​

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2 At a gym, Arun lifts 2 kg and 4 kg weights. Find the total mass of four 2 kg weights and three 4kg weights. Arun lifts x 2 kg weights and y 4kg weights. The total mass is 22 kg. Write a function to show this.