Explain how to determine if Carlos’s allowance is directly proportional to the number of chores he completes.

Answers

Answer 1

Answer:

  if the ratio allowance/chores is constant, it is proportional

Step-by-step explanation:

The values x and y are directly proportional if they satisfy the equation ...

  y = kx

for some constant k, the constant of proportionality.

__

If the relation that produces ordered pairs (chores, allowance) is directly proportional, all of the ratios (allowance)/(chores) will have the same value: the constant of proportionality (k).

If the ratios are not constant, Carlos's allowance is not directly proportional to the number of chores he completes.


Related Questions

If triangle DAB = Triangle CBA

Angle D = 132 degrees and Angle C = x + 18

x = ?

please help

Answers

Answer:

x = 114

Step-by-step explanation:

since the triangles are congruent, then corresponding angles are congruent, that is

∠ C = ∠ D

x + 18 = 132 ( subtract 18 from both sides )

x = 114

On. map with a scale of 1:75 000 the distance between a hotel and the airport is 3 cm

What is the actual distance I'm km?

a. 2.25

b. 2.5

c. 22.5

d. 25 km

please help​

Answers

Answer:

a. 2.25 km

Step-by-step explanation:

the scale on a map means how many units in the mapp corresponds to how many units in reality.

in this case

1 cm on the map = 75000 cm in reality =

= 75000/100 m = 750 m =

= 750/1000 km = 0.75 km

3 cm = 3×1 cm = 3 × 0.75 km = 2.25 km

Which graph is an example of a function whose parent function is y = StartRoot x EndRoot?
On a coordinate plane, a curve starts at (negative 1, negative 1) and then curves up and to the right into quadrant 1.
On a coordinate plane, a parabola has a vertex at (0, 1).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 1. One curved decreases from quadrant 2 into quadrant 1 and approaches y = 1. It crosses the y-axis at (0, 2). The other curve approaches y = 1 in quadrant 1 and then curves down and approaches y = negative 1 in quadrant 3. It crosses the x-axis at (negative 2, 0).
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

Answers

Using translation concepts, the graph of a translated function of [tex]y = \sqrt{x}[/tex] is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

[tex]y = \sqrt{x}[/tex] starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

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Answer:

A

Step-by-step explanation:

I took it

What is the intersection of line CA a and line XA?

Answers

Answer:

point A is the intersection point between XA and AC

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The correct representations are - 6x + 15 < 10 - 5x  , An open circle is at 5 and a bold line starts at 5 and is pointing to the right , Option C and E are the right answers.

What is Inequality ?

Inequality are the mathematical statements where algebraic expressions are equated by another algebraic expression or a constant using an Inequality Operator.

The given statement is

–3(2x – 5) < 5(2 – x)

On simplifying can be written as

- 6x + 15 < 10 - 5x

- 6x + 15 < 10 - 5x

- 6x < -5 - 5x

- x < - 5

 x > 5

An open circle is at 5 and a bold line starts at 5 and is pointing to the right .

Therefore Option C and E are the right answers.

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if x + 3y = 25 write y in terms of x and also find the two solutions of this equation

Answers

Answer:

y= 25/3 - x/3

Step-by-step explanation:

y= 25/3 - x/3

At Pine Time Summer Camp, 12 campers sign up to go swimming. Of the 12 campers, 2/3 of them are advanced swimmers. How many of these campers are advanced swimmers?
(not highschool)

Answers

8 of the campers are advanced swimmers.
The way I solved this is I used my calculator and did 2 divided by 3 and then multiplied the answer by twelve.

Ten years ago Victors age WAs half of the age he will be in 10 years how old is he now?

Answers

By solving a linear equation, we will see that Victor is 30 years old.

How old is Victor now?

Let's say that Victor is x years old.

We know that 10 years ago, (x - 10), his age was half of what it will be in 10 years (x + 10).

Then we can write the linear equation:

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

Now we can solve that equation for x:

2*(x - 10) = x + 10

2x - 20 = x + 10

2x - x = 10 + 20

x = 30

So we conclude that Victor is 30 years old.

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Josh and Bella picked apples from a tree. Josh had 3 less than 2/3 of Bellas apples. If Josh had 7 apples, how many apples did Bella have?

Answers

Answer:

Bella had 15 apples

Step-by-step explanation:

First, you see that Josh has 3 less than 2/3 of Bellas apples. If Josh has 7 apples you would add 3 to 7 which = 10. Assuming that 10 = 2/3 of Bellas apples, then you would subtract half of 10 and get 5. 1/3 = 5 apples. Lastly, you should do 5 * 3 which = 15. Bella had 15 apples.

Work out the equation of line B. Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. Work out the equation of line B. Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms .​

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

the line crosses the y-axis at (0,1) then c = 1

The points (0,1) and (1,-2) lie on the line then

m = slope = [(-2)-1]÷(1-0) = [-3]÷(1) = -3÷1 = -3

Therefore,

The equation of the line is : y = -3x + 1

how many solutions exists for the given equation?
3x+13=3(x+6)+1

Answers

Answer:

No Solutions.

Step-by-step explanation:

original equation

3x+13 = 3(x+6)+1

distribute 3

3x+13 = 3x+18+1

simplify

3x+13 = 3x+19

since the slope is the same for both equations and the y-intercept is different the two equations are parallel meaning they will never intersect so there are no solutions.

Answer:

No solutions

Step-by-step explanation:

3x + 13 = 3 (x + 6) + 1

3x + 13 = 3x + 18 + 1

3x + 13 = 3x + 19

3x + 13 = 3x + 19 meaning no solution since they aren't equivalent to each other

A,B, C and D are the four corners of a rectangular plot marked out on level ground. Given that the bearing of B from A is 40 and the bearing of C from A is 90, Find the bearing B frOm C

Answers

Answer:

given - a rectangle ABCD

AB = 40

AC. = 90

BC = ?

in triangle ABC

using Pythagoras theorem

(AB) ² + (BC) ² = (AC) ²

(40)² + (BC) ² = (90)²

(BC) ² = (90)²- (40)²

(BC) ² = 8100 - 1600

(BC) ² = 6500

BC =

[tex]20 \sqrt{10} [/tex]

Probability and Two-Way Tables

Answers

Answer:

the answer are A and Y , B and X.

 A and X are two independent events  , Option A is the correct answer.

When is Probability ?

Probability is the likelihood of an event to happen

A two way table is given

The two events will be independent when

If A is the first event and B is the second event , then

P(A) = P(A|B)

Here the P(A) = 30/100 = 0.3

P(B) = 20/100 = 0.2

P(A|X) = 15/50 = 0.3

P(A) = P(A|X)

Therefore A and X are two independent events , Option A is the correct answer.

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what is the equation (in slope-intercept form) of a line that passes through the point (3,-2) and has a slope of -2

Answers

Answer:

[tex]y = - 2x + 4[/tex]

Step-by-step explanation:

Thank you

neeeed helppp asapp

Answers

Answer:

y=3x-1

Step-by-step explanation:

the answer is: y = 3x-1

you use the equation y=mx + b. b is your y intercept. in this question, -1 is your y intercept, because the graph passes the y axis at the point (0, -1).

m is also the slope, which is rise over run. so you go up 3 units and 1 unit to the right, which is 3/1 as your m .

overall, your equation of the line is:
y = 3x - 1

If you draw all hearts from a deck of 52 cards,
what is the ratio of the remaining cards to the
whole deck?

Answers

Answer:

39

Step-by-step explanation:

Okay so there are 52 cards in a deck and there are 4 of each card. 4 kings 4 Queens 4 Jacks 4 Ace 4 Twos 4 Threes 4 fours 4 fives 4 sixes 4 sevens 4 eights 4 nines 4 tens. One from each group is a heart there are 13 groups so therefore subtract 13 from 52.

Moscow: -5.5°C Cold Lake: -17.5°C Choose the correct inequality symbol to complete the inequality statement, -5.5°C ________ -17.5°C.

Answers

Answer:

-5.5°C > -17.5°C

Step-by-step explanation:

Since -5.5 is larger than -17.5

The correct inequality symbol to complete the inequality statement is ">" (greater than). [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex].

To understand why this symbol is used, let's compare the two temperatures.

The temperature in Moscow is -5.5C, while the temperature in Cold Lake is [tex]-17.5^{\circ}C[/tex].

Since -5.5 is greater (warmer) than -17.5,  use the ">" symbol to indicate that [tex]-5.5^{\circ}C[/tex] is greater than [tex]-17.5^{\circ}C[/tex].

Here's a step-by-step explanation:

Begin by comparing the numerical values of the temperatures: -5.5 and -17.5.Since -5.5 is a higher value (closer to 0) compared to -17.5, it means that Moscow's temperature is warmer than Cold Lake's temperature.The ">" symbol is used to represent "greater than" in an inequality statement.By using the ">" symbol, we express that [tex]-5.5^{\circ}C[/tex] is greater (warmer) than [tex]-17.5^{\circ}C[/tex].

In summary, when comparing the temperatures of Moscow and Cold Lake, the correct inequality statement is [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex], indicating that Moscow's temperature is higher (warmer) than Cold Lake's temperature.

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2x+y=8
y+3z=5
z+2w=1
5w+3x=9

what is x,y,z,w

Answers

Answer:

Systems of equations:

x=3

y=2

z=1

w=0

Given: cot = -0.59 in QII, find sin

Answers

The value of sin x in Q II is 0.86 .

What are Trigonometry ?

This the field in Maths which deals with a right angled triangle and the other angles in the triangle.

It is given that cot = -0.59

cot x = cos x / sin x

Using online trigonometric calculator

sin x in Q II is 0.86 .

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You’re planning to place an order from an online boutique. Leggings are $12 each and shipping is a flat rate of $5. Write an expression that represents the total cost of your order (not including tax) based on the number of leggings (l) you buy.

Answers

Answer:

For the cost of each legging to be $12, and the shipping of $5, the expression is a straight line C = 12x + 5 where x is the number of leggings.

Step-by-step explanation:

It is given that each legging costs $12. This means that for x number of leggings, the cost will be $12x. Now there is an additional cost of shipping that is $5. So, total cost will be a linear equation and can be written as

C = 12x + 5

This equation represents a straight line like y = mx + c. Here y = C, m = 12 and c = 5.

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The diagram shows a swimming course set out on a lake. Angle BCA = 90°. B 80m 145m C A Not to scale C is due north of A. Calculate the bearing of B from A.

Answers

the pronunciation of this question is wrong make it right first then I will answer

Step-by-step explanation:

please send this question again because I I think you want to write it fast and by mistake you are wright wrong

please help me with this. put the shapes in their correct place on the Venn diagram. Screen shot and edit if you have to.

Answers

View the answer in the Venn Diagram below.

A quadrilateral is a flat shape with four edges and four corners, also known as vertices. The quadrilateral has angles at each of its four vertices, or corners. The angles at the vertices of a quadrilateral ABCD are A, B, C, and D. A quadrilateral has the following sides: AB, BC, CD, and DA.

A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry.

A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and breadth of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.

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Which inequality describes the acceptable weights for the suitcase?
x≤ 32.5 or x ≤ 47.5
32.52x2 47.5
x≤ 32.5 or x ≥ 47.5
32.5 ≤ x ≤ 47.5

Answers

Based on the given options, the inequality for the acceptable weights of the suitcase is 32.5 ≤ x ≤ 47.5.

What is the acceptable weight for the suitcase?

You didn't include the full question but this question can be answered based on the given options.

When inequalities are written, there is no inclusion of "or" which eliminates options A and C.

It is illogical to have an inequality as 32.5 ≥ x ≥ 47.5. This is because if 32.5 is larger or equal to x, then x cannot be larger than 47.5. This is mathematically impossible.

This leaves the likely answer as 32.5 ≤ x ≤ 47.5 which means that the weight of the suitcase has to be larger than or equal to 32.5 but less than or equal to 47.5.

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Answer:

32.5 ≤ x ≤ 47.5

Step-by-step explanation:

Find the least common denominator for these
two rational expressions.
-4
-1
4y²
Enter the correct answer.

Answers

Answer:

4y^2

Step-by-step explanation:

least common denominator is 4y^2

Question 13 (4 points) (05.03) Which of the following statements best describes the graph of -5x + 2y = 1? (4 points)

A) It is a curve joining the points (-5, 2), (2, 3), and (4, 1).

B)It is a curve joining the points (-1, -3), (-1, -3), and (1, 5).

C)It is a straight line joining the points (1, 3), (3, 8), and (-3, -7).

D)It is a straight line joining the points (4, -3), (-1, 2), and (-4, 5).

Answers

Answer:

  C) straight line through (1, 3) ... (-3, -7)

Step-by-step explanation:

The linear equation will describe a straight line. The slope and general location of the line on a graph can be estimated from its x- and y-intercepts.

__

intercepts

The x-intercept is the value of x that satisfies the equation when y=0.

  -5x +2·0 = 1

  x = -1/5 . . . . . . divide by the coefficient of x

The y-intercept is the value of y that satisfies the equation when x=0.

  -5·0 +2y = 1

  y = 1/2 . . . . . . divide by the coefficient of y

nature of the graph

The intercept values mean the line crosses the positive y-axis and the negative x-axis. It will have a positive slope. Points on the line that have integer x- and y-coordinates will have coordinates that have the same sign.

Of the offered answer choices, A and B are eliminated because the graph is not a curve. D is eliminated because the suggested points have coordinates with opposite signs. The correct choice is C:

  It is a straight line joining the points (1, 3), (3, 8), and (-3, -7)

Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. what is the area of the top surface of this wedge? , 1 of 2. select choice square centimeters

Answers

Using the area of a sector formula, we get the area to be:

[tex]\pi (10)^{2} \left(\frac{45}{360} \right)=\boxed{12.5\pi \text{ cm}^{2}}[/tex]

Use the information given in the diagrams to show that

Answers

Answer:

  d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))

Step-by-step explanation:

The Law of Sines tells us that sides of a triangle are proportional to the sine of the opposite angle. This can be used along with a trig identity to demonstrate the required relation.

__

top triangle

The law of sines applied to the top triangle is ...

  BC/sin(A) = AC/sin(θ)

Triangle ABC is isosceles, so the base angles at B and C are congruent. Then the angle at vertex A is ...

  ∠A = 180° -θ -θ = 180° -2θ

A trig identity tells us the sine of an angle is equal to the sine of its supplement. That means the sine of angle A is ...

  sin(A) = sin(180° -2θ) = sin(2θ)

and our above Law of Sines equation tells us ...

  BC = sin(A)/sin(θ)·AC = k·sin(2θ)/sin(θ)

__

bottom triangle

The law of sines applied to the bottom triangle is ...

  DC/sin(B) = BC/sin(D)

  d/sin(α) = BC/sin(β)

Multiplying by sin(α) we have ...

  d = BC·sin(α)/sin(β)

__

Using our expression for BC gives the desired relation:

  d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))

A cylindrical barrel of water has a base radius of 30 cm and is 110 cm high.
a) Find it’s volume in cm³.
b) Find it’s capacity in litres
( Hint is 1 cm³= 1 ml )
c) Find the number of bottles of water that can be filled from the barrel if each bottle holds 0.73 litres.

Answers

The volume of the cylinder is in the cubic cm is 311017.67 and in litres is 311.017, and the number of bottle is 426.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We have:

The radius of the cylindrical barrel r = 30 cm

Height of the cylindrical barrel h = 110 cm

Volume:

[tex]\rm V = \pi (30)^2 (110)[/tex]

V = 311017.67 cubic cm

The volume of litres:

V = 311.017 cubic ml  (1 liter = 1000 cubic cm)

Number of bottles = 311.017 /0.73= 426 bottles

Thus, the volume of the cylinder is in the cubic cm is 311017.67 and in litres is 311.017, and the number of bottle is 426.

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What is 2 2/3 - (-3 2/6) show your work

Answers

The value of the expression 2 2/3 - (-3 2/6) is 6

How to solve the expression?

The expression is given as:

2 2/3 - (-3 2/6)

Open the bracket

2 2/3 + 3 2/6

Express as improper fractions

8/3 + 20/6

Rewrite as:

16/6 +20/6

Evaluate the sum

36/6

Evaluate the quotient

6

Hence, the value of 2 2/3 - (-3 2/6) is 6

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help please i dont know this

Answers

Answer:

150 yd

Step-by-step explanation:

the angle bisector divides the opposite sides into segments that are proportional to the other 2 sides .

let x be the distance from the oak tree to the hole, then

[tex]\frac{225}{x}[/tex] = [tex]\frac{375}{250}[/tex] ( cross- multiply )

375x = 56250 ( divide both sides by 375 )

x = 150 yd

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