when you do the graph part can you write on my picture, please?

The scenarios that demonstrate a proportional relationship for each person's income are :

Consider the income as y in each scenario

Scenario 1

Millie works at a car wash and earns $17.00 per car she washes.

Consider the number of car she washes as x

y = 17x

y ∝ x

This is a proportional relationship

Scenario 2

Bryce has a cleaning service and charges $25.00 plus $12.50 per hour.

The relationship will be

y = 25 +12.50x

where x is the number of hours

This is not a proportional relationship

Scenario 3

Carla makes sandwiches at her job and earns $7.85 per hour.

The relationship will be

y = 7.85x

y ∝ x

Where x is the number of hours

This is a proportional relationship

Scenario 4

Tino is a waiter and makes $3.98 per hour plus tips.

The relationship will be

y = 3.98x + tips

Where x is the number of hours

This is not a proportional relationship

Hence, the scenarios that demonstrate a proportional relationship for each person's income are

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Using ratios, the sentences regarding a percentage of 8% are given as follows:

a. 8 for every 100.

b. 4 for every 50.

c. 1 for every 12.5.

d. 0.5 for every 6.25.

The ratio between two amounts a and b is given by the division of a by b, as follows:

r = a/b.

One example of ratio is a percentage, as a percentage of x% is equivalent to the ratio of x to 100, that is:

r = x/100.

Hence a percentage of 8% is equivalent to the following ratio:

r = 8/100.

That is, 8 for every 8.

Ratios are fractions, and they can be simplified, dividing both the numerator and the denominator by the same amount, as is the case in this problem:

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Definitions in Algebra

A variable is a letter or symbol that represent numbers in a general way.

A coefficient is a number that multiplies a variable

A term is a combination of numbers and variables, all of them multiplied.

An exponent represents multiple products, like 2*2*2= 2^3

The answer is shown in the image below:

Confidence interval is written as

point estimate ± margin of error

In this case, the point estimate is the sample mean

the formula for calculating margin of error is expressed as

where

σ = population standard deviation

n = sample size

z is the z score corresponding to a 95% confidence level. From the standard normal distribution table, z = 1.96

From the information given,

σ = 15

n = 50

sample mean = 244

By substituting these values into the formula,

Thus,

confidence interval = 244 ± 4.16

Lower limit of conidence interval = 244 - 4.16 = 239.84

Upper limit of conidence interval = 244 + 4.16 = 248.16

Conclusion: We estimate with 95% confidence that the mean weight of all elephants is between 239.84 pounds and 248.16 pounds

Answer:

There are 59251.5 decigrams in 209 ounces.

Step-by-step explanation:

We'll solve this using the rule of three.

We know that there are 28.35 grams in an ounce. This way,

This way,

And since we know there are 10 decigrams in a gram, we'll have that:

This way,

This way, we can conclude that there are 59251.5 decigrams in 209 ounces.

The absolute value gives always a positive number.

If a is negative, then a|x| is negative and |ax| is positive.

Therefore, the graph of y=a|x| won't be the same as the graph of y=|ax|.

Another way to see it, is by using the property:

Since a is negative, then |a| = -a. So, |ax| = -a|x|, which is clearly different from a|x|.

21

Given the expression

We are to find the resulting value given that a = -5 and b = 2

Hence the value of the expression if a = -5 and b = 2 is 21

Answer:

12

Step-by-step explanation:

50x2=100

100x10=1000

2+10=12

Here, the expression is 26/w=5/6.

Therefore,

So, the value of w is 31.2

ANSWER

Rectangle

EXPLANATION

If we take a cross-section perpendicular to the base of a cylinder,

We get a rectangle.

The base of the cylinder is circular and the

Answer: Rectangle

Step-by-step explanation:

I got it right on the test

we have that

Divide $90 by the number of shares

so

90/9=$10

the answer is $10

Recall that the GCF of two ( or more numbers) is the highest number that divides exactly the two numbers.

11.- Notice that:

Therefore:

12.- Notice that.

Therefore:

Answer:

11.-

12.-

In order to solve this, we have to formulate some equations describing the number of people. The total number of people can be calculated by adding the number of natives to the number of settlers, like this:

Total = N + S

Where N is the number of natives and S is the number of settlers. We already know that there were 140 people in total, then we can rewrite the above expression to get:

140 = N + S

We are also told that there were 40 more native Americans than settlers, then the number of natives can be calculated by adding 40 to the number of settlers like this:

N = S + 40

By replacing S + 40 for N into 140 = N + S, we get:

140 = N + S

140 = (S + 40) + S

140 = S + 40 + S

140 = S + S + 40

140 = 2S + 40

140 - 40 = 2S + 40 - 40

100 = 2S

100/2 = 2S/2

50 = S

S = 50

By replacing 50 for S into N = S + 40, we get:

N = S + 40

N = 50 + 40 = 90

N = 90

Then, there were a total of 90 natives and 50 settlers

There are two ways to interpret the problem.

1) One is that a heart circulates 84ml of blood per second, although this makes the information of the beats per minute unnecessary.

In that case, an average heart would circulate 6300 ml of blood as shown in the next expression:

Where t is the time expressed in seconds

2) A second approach, and the one that makes better sense, is that each beat of the heart pumps 84ml per beat. Then, the expression that gives us the time needed to reach 6300ml of blood is:

In that case, the equation that expresses the time needed by the heart to bump 6300ml of blood is:

With t being the time given in minutes

Given the graph of the quadratic function with vertex (-4,-3) as shown below:

The domain of the function is a set of input values. The range of a quadratic function continues in either direction along the x-axis, as shown by the arrows in the above plot. The range is the set of output values. In other words, it is the possible values of y in a quadratic function.

Thus, the domain of the function is:

The range of the function is :

Sara, this is the solution:

∛ 120a^4b^5c

Lets solve factor by factor:

∛ 120 = ∛ 8 * 15 = 2∛ 15

∛a^4 = a^4/3

∛b^5 = b^5/3

∛c (We can't simplify this factor)

In consequence, we have:

2a^(4/3) b^(5/3)∛ 15c

Brandy will get a tip of $2.778

Here, we want to get the amount of tip Brandy will get

In the question, the tip is 15% of $18.52

That will mathematically be;

We should know that :

1 pound = 16 ounces

The question is :

Which is more, 1/2 of a pound or 6 ounces?

so,

1/2 of a pound = 1/2 x 16 = 8 ounces

So,

8 ounces > 6 ounces

so, the answer is option 1

The more is 1/2 of a pound

After performing dilation centered at the origin we get

(a) shortest side of original figure=2 units

   shortest side of the final figure=6units

(b) shortest side of the final figure=3×shortest side of the original figure

(c) True

(d) False

A transformation called a dilatation alters a figure's size without altering its shape. A figure might become larger or smaller due to dilation. For instance.

The image is smaller than the preimage when the scaling factor is between 0 and 1. Reductions are referred to as dilations with scale factors between 0 and 1.

The image is larger than the preimage if the scaling factor is greater than 1. Enlargements are defined as a dilation with a scale factor greater than 1.

To get the size of the edge we multiply the size of original lenght by scale factor.

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We have to calculate the volume of the cone.

The volume of the cone is 1/3 of the area of the base times the height.

As the base has diameter D = 16 yd, we can calculate the area of the base as:

Knowing the height is h = 14 yd, we then can calculate the volume as:

Answer: the volume is 937.81 cubic yards.

If Earl Miller, a customer of J. Crew, will pay $400 for a new jacket. J. Crew has a 60% markup on selling price. The most that J. Crew can pay for this jacket is $160.

Given parameters:

Cost of new jacket = $400

Markup = 60%

Now let find the amount that was paid for the jacket using this formula

Amount = Cost of new jacket × ( 1- markup)

Let plug in the formula

Amount = $400 × ( 1 - .60 )

Amount = $400 × .40

Amount = $160

Therefore we can conclude that the amount of $160 was paid the most.

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The equation of the circle has the following form:

Where

(h,k) are the coordinates of the center of the circle

r is the radius of the circle

If the center of the circle is at the origin, (0,0) and it passes through the point (0,-9), since both x-coordinates are equal, the length of the radius is equal to the difference between the y-coordinates of the center and the given point:

The radius is 9 units long.

Replace the coordinates of the center and the length of the radius in the formula:

So, the equation of the circle that has a center in the origin and passes through the point (0.-9) is:

We have to add and substract this complex numbers.

In this type of problems, where we have to add or substract complex numbers, we need to have the real and imaginary terms separated.

In this case, we already have all the terms as real or imaginary.

Then, we can group the real terms on one side and the imaginary terms on the other side and simplify them. We can do it like this:

Answer: 11 + 2i

When lines are perpendicular the slopes of both are opposite and reciprocal, that is:

In words, if we have a line with slope = m, the perpendicular line to that line will have a slope = - 1/m ( opposite and reciprocal).

Answer

Coyote's speed = 19 m/s

Jack Rabbit's speed = 16 m/s

The Coyote is faster since 19 > 16.

Explanation

To answer this, we need to note that the relationship between speed, distance and time is given as

Speed = (Distance/Time)

For the Coyote,

Distance = 101 m

Time = 5.3 seconds

Speed = (Distance/Time)

Coyote's speed = (101/5.3) = 19 m/s

For the Jack Rabbit,

Distance = 75 m

Time = 4.7 seconds

Speed = (Distance/Time)

Jack Rabbit's speed = (75/4.7) = 16 m/s

Since 19 m/s is evidently greater than 16 m/s, we can conclude that the Coyote is faster than the Jack Rabbit.

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Answer: so lets say x =the exact amount of rows

so each row has 5 tree's

then a is the answer

its an equation of x·5=a

so that would be a unknown number of trees so you assume that there is more than 1 row because there is several rows so its a incomplete question

Step-by-step explanation:

The measure of angle W in the triangle is 29 degrees

The definition of the angles are given as

m∠V=(6x−4, m∠W=(x+12), and m∠X=(3x+2)

Where the triangle is given as

Triangle VWX

The sum of angles in a triangle is 180 degrees

This means that

V + W + X = 180

Substitute the known values in the above equation

So, we have

6x - 4 + x + 12 + 3x + 2 =  180

Evaluate the like terms

10x = 170

Divide by 10

x = 17

Substitute x = 17 in m∠W=(x+12)

So, we have

m∠W=(17+12)

Evaluate

m∠W = 29

Hence, the angle W is 29 degrees

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To multiply two polynomials we have to multiply each term in one polynomial by each term in the other polynomial, and then add the similar terms, as follows:

Answer:

B

Step-by-step explanation:

| x - 4 | + 6 = 13

x - 4 + 6 = 13

x = 11

Or

4 - x + 6 = 13

x = -3