3. a) Jack needs to purchase a painting for his room. Jack measured the painting as 5 ft. The actual
was 4.1 ft. What is John's percent decrease on his measurement?
measurement

Answer:

Using the data under D1 and D2, calculate the cross elasticity of demand for golf at all three prices. (To do this, apply the midpoints approach to the cross elasticity of demand.) At $50, cross elasticity = -2.40 ± 0.05At $35, cross elasticity = -3.00 ± 0.05At $20, cross elasticity = -4.00 ± 0.05Is the cross elasticity the same at all three prices? No. Are movies and golf substitute goods, complementary goods, or independent goods? Complementary goods.b. Using the data under D2 and D3, calculate the income elasticity of demand for golf at all three prices. (To do this, apply the midpoints approach to the income elasticity of demand.) At $50, income elasticity of demand = 1.40 ± 0.05At $35, income elasticity of demand = 2.33 ± 0.05At $20, income elasticity of demand = 3.00 ± 0.05Is the income elasticity the same at all three prices? No. Is golf an inferior good? No, it is a normal good.

The required statement is given as the data tends to the normal good.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Calculate the cross elasticity of demand for golf at each of the three prices using the information under D1 and D2.

At $50, the cross elasticity is equal to -2.40 ± 0.05;
At $35, it is - 3.00± 0.05;
At $20, it is - 4.00 ±0.05.
No golf and movies complementary, independent, or alternative goods complementing products b.

Calculate the income elasticity of demand for golf at each of the three prices using the information under D2 and D3.
At $50, the income elasticity of demand is equal to 1.40±0.05
At $35, it is 2.33± 0.05
At $20, it is 3.00± 0.05

Thus, the required statement is given as the data belong to the normal good.

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Answer:

30

Step-by-step explanation:

200/40=5

5x6=30

therefore there are 30 tickets you could get with 400$

hope this helped

have a great day ^^

Answer:

30 tickets

Explanation:

One ticket can be represented as variable t.

Using t, we can set up an equation (proportion) using the given information:

[tex]6t = \$ 40[/tex]

Then, we can multiply both sides of the equation (proportion) by something such that the number of dollars on the right side is $200.

[tex]6t \ = \ \$ 40 \\\times 5 \ \ \ \times 5[/tex]

[tex]30t = \$ 200[/tex]

So, we can get 30 tickets for $200.

The new quantity supplied when the price is $348 per cord is  424.

The supply curve is a graph that shows the relationship between price and quantity supplied. The supply curve has a positive slope.

The slope of the supply curve is the ratio of the change in the value of price divided by the change in the value of the quantity supplied.

Slope = change in price / change in quantity supplied

0.75 = ($348 - $255) /  change in quantity supplied

0.75 = $93 /  change in quantity supplied

change in quantity supplied = 93 / 0.75 = 124

The new quantity supplied = 300 + 124 = 424

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Capacity of 1 thumb drives = 4 gigabytes.

Capacity of 1 compact disk = 2 gigabytes.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Let capacity of a thumb dives = x

And, Capacity of a compact disk = y

Then, For first condition;

''4 thumb drives and 1 compact disk have a total capacity of 18 gigabytes.''

We can formulate;

4x + y = 18  .... (i)

And, For second condition;

'3 compact disks and 4 thumb drives have a total capacity of 22 gigabytes.'

We can formulate;

4x + 3y = 22 .... (ii)

Solve the equation (i) and (ii) we get;

Subtract (ii) by equation (i) we get;

2y = 4

y = 2

And, 4x + 2 = 18

4x = 16

x = 4

So, Capacity of 1 thumb drives = 4 gigabytes.

Capacity of 1 compact disk = 2 gigabytes.

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From the diagram we notice that the angle of 55° is vertical opposite to angle 3, hence they are equal.

Also from the diagram we notice that angles 3 and 6 are alternate interior angles and since lines A and B are parallel then they are equal.

Finally angle 6 and angle 7 are vertical opposite, which means they are equal.

Therefore, the value of angle 7 is 55°

Answer:

14, 9, 16

Step-by-step explanation:

from 3 to 10, you add 7

from 10 to 5, you minus 5

from 5 to 12, you add 7

from 12 to 7, you minus 5

so the pattern is add 7, minus 5

7 plus 7 is 14

14 minus 5 is 9

9 plus 7 is 16

Answer:

x = 21

Step-by-step explanation:

To get your answer, you can turn these to fractions: 5/7 = 15/x

5 * 3 = 15

7 * 3 = x

x = 21

Answer:

Step-by-step explanation:

Incomplete question.

Solution

The total number nof cookies in the bag is:

- Thus, we can write the probabilities of choosing any of the cookies are given as:

- Now, let us analyze Trey's random choices

Choice 1:

He chose a sugar cookie at first.

- Thus, the probability of this choice is

Choice 2:

- He chose an oatmeal cookie in the second choice.

- But he already had one cookie before this choice, thus, the total number of cookies is one less. That is, 23 not 24.

- Thus, the probability of choosing the oatmeal cookie is given as:

- Because these choices do not interfere with one another (i.e. they are mutually exclusive), we can apply the AND probability formula to calculate the probability that Treys chose a Sugar Cookie first, and then an Oatmeal cookie next.

- The AND probability is given as

- Thus, we can find the probability that Trey chooses Sugar Cookies first and Oatmeal Cookie next as follows:

Final Answer

The answer is

iN linear equations, store 1 jeans is cheaper than store 2.

What are instances of linear equations?

one store the jeans are selling for 1/5 off the original price of $70

              $70 * 1/5  = 14

second store the same jeans are selling for 1/3 off the original price $81

                 $81 * 1/3  = 27

So, store 1 jeans is cheaper than store 2.

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∠2 and ∠7 are a pair of angels are alternate exterior angles .

A transversal that crosses two parallel lines results in alternate exterior angles.

So from the given figure the pairs of external alternate angles are:

∠1 and ∠8

∠2 and ∠7

Hence of the given options , ∠2 and ∠7 is the required external alternate angles .

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Answer:

There are 16 ways in which Danny can mix and match all his outfits. You can determine this by multiplying. 4 x 2 x 2. Danny has 4 shirts. He can wear each with two different pants, so 4 x 2 giving 8 different shirt/pant combinations. Now each combination can be worn with two different pairs of shoes, so 8 x 2 giving 16 total combinations of shirt, pants and shoes.

Step-by-step explanation:

How many outfits does that make? First he has to decide on a pair of pants and he has 4 different choices. For each of those choices he has a choice of 7 ...

you would times each one for example 6 x8 6x3 6x5 and 8x6 8x3 8x5 and 3 x6 and so forth

The x intercepts of the function given in the question will be equal to x = 6 and x = 3.

A function may be defined as an entity in which for one value of input there is only one value of output. The input value is the value of x variable, or the independent variable and the output value is the value of y variable or the dependent variable. For example, f(x) = y = x + 2, in this function for the value of input x = 1 the value of output is y = 3. The x intercept of a function may be defined as the point on the graph at which the line of function crosses the x axis. For finding the x intercept the y value or the value becomes zero. We are given the function g(x) = (1/4) (x - 6) (x - 3)

Now, g(x) = 0

(1/4) (x - 6) (x - 3) = 0

=> (x - 6) (x - 3) = 0

=> x = 6 and x = 3

Therefore, x intercepts are x = 6 and x = 3.

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Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = [tex]\frac{-2-0}{0-(-3)}[/tex] = [tex]\frac{-2}{0+3}[/tex] = - [tex]\frac{2}{3}[/tex]

(b)

the y- intercept is the point on the y- axis where the line crosses, that is

y- intercept c = - 2

(c)

y = - [tex]\frac{2}{3}[/tex] x - 2 ← equation of line

An ordered pair of point in Quadrant II is 8 units away from this point, the resulting point will be (-7.25, 4.25)

In this question, we need to find an ordered pair for the point in Quadrant II, that is 8 units away from the point Q(0.75 -3.25) on a coordinate plane.

If we have a coordinate point (x, y) in Quadrant ||, if the coordinate is 8 units away, the resulting coordinate will be expressed as (x - 8, y + 8)

Given the point Q(0.75, -3.25) on the coordinate  the plane, if a point in  Quadrant II is 8 units away from this point, the resulting point will be (0.75 - 8, -3.25 + 8) which is (-7.25, 4.25)

Therefore, an ordered pair a point in Quadrant II is 8 units away from this point, the resulting point will be (-7.25, 4.25)

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Answer:

congruent: a° and c°; d° and b°

Supplementary: c° and b°; a° and b°; a° and d°; c° and d°

Step-by-step explanation:

The corresponding values of expressions 1, 2,3,4 and 5 when evaluated are -2, -0.65, -7/48, 67 1/2 and 2 2/33

1. To evaluate (a-2b)^3 when a = -3 and b = - 1/2,  put a = -3 and b = - 1/2 into the expression (a-2b)^3:

(a-2b)^3 = ( -3 - 2(-1/2) )

              = (-3 + 1) = -2

2. To evaluate (jk - 1) ÷ j when j = -4 and k = -0.9, put  j = -4 and k = -0.9 into the expression (jk - 1) ÷ j:

(jk - 1) ÷ j = ( -4(-0.9) - 1) ÷ (-4)

              = (3.6 -1) ÷ (-4) = (2.6) ÷ (-4) = -0.65

3. To evaluate -|a+b| / 2-c when a =1 7/8 , b = -1 , and c = -4 , put b = -1 , and c = -4 into the expression -|a+b| / 2-c:

-|a+b| / 2-c  = -|1 7/8 + (-1)|/ 2 -(-4)

                  = -| 7/8 | / 6 = -7/48

4. To evaluate (w^2 / x - 3) ÷ 10 multiplied by z when w = -9 , x = 2.7 , and z= -2/5:

(w^2 / x - 3) ÷ 10z = ((-9)²/ 2.7 -3)  ÷ 10(-2/5)

                            = (81/(-0.3))  ÷  (-4) = -270/-4 = 67 1/2

5. To evaluate (2a - 1/3) ÷ b/15 when a = -2/5 and b = -8.25:

(2a - 1/3) ÷ b/15 = (2(-2/5) - 1/3) ÷ -8.25/15

                          = (-4/5 - 1/3) ÷ (-11/20) = -17/5 ÷ (-11/20) = 2 2/33

Therefore, the expressions 1, 2,3,4 and 5 evaluate to -2, -0.65, -7/48, 67 1/2 and 2 2/33 respectively

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Answer:

The original price was 18 dollars.

Step-by-step explanation:

Givens

Final price = 15 dollars

Discount = 20%

Original Price = x

Formula

x = 15 + 20/100 15

Solution

x = 15 + 300/100                     Multiply 20 * 15. Divide by 100

x = 15 + 3

x = 18

Note the - sign in the evaluation of f(x), which changes the function directly, and the term -4 indicates a displacement vertically (down), but the graph goes up because of the sign -, therefore, the only option with these conditions is option b.

The correct answer is option b.

Answer: (a) only

Step-by-step explanation:

For there to be inverse proportion, the product of x and y must be constant.

The ratio of 5 to 6 means that for every 5 girls on the track team there are 6 boys.

So, if there are n groups of 5 girls, there should be also n groups of 6 boys. Thus, we have the proportion:

Then, let's check each item to find out which one shows possible numbers of girls to boys on the track team.

A. 24 girls, 20 boys

B. 50 girls, 56 boys

C. 60 girls, 50 boys

D. 20 girls, 24 boys

Therefore, option D is correct.

The factor of the trinomial 9x² + 30x + 25 is (3x + 5).

When you factor a trinomial, you change an algebraic expression from a trinomial to a binomial. ax² + bx + c, where a and b are coefficients and c is a constant, is the general expression for a trinomial, which is a polynomial with three terms.

Given trinomial: 9x² + 30x + 25

Factoring the trinomial, we get

9x² + 30x + 25

9x² + 15x + 15x + 25

3x(3x + 5) + 5(3x + 5)

(3x + 5)²

Therefore, (3x + 5) is the factor of the given trinomial.

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Answer:107/56 is the answer

9. To draw the rise, you can follow these steps:

- Identify a point on the line. In this case, this can be:

- Draw a vertical line that rises from that point. See the picture below:

10. To draw the line that represents the run, you need to Draw a horizontal line that goes from the endpoint of the line that represents the rise and extend it until it touches the function. See the picture below:

Therefore, the answers are (See the picture):

hmmm first of all, let's keep in mind that any expression multiplied by 1 is always the same expression

[tex]12\cdot 1=12\qquad 13567\cdot 1=13567\qquad spaghetti\cdot 1=spaghetti[/tex]

and so on.

now, hmm 1 can be expressed as a rational, 1/1 = 1, but but but, we can really express it as

[tex]\cfrac{9999}{9999}\implies \cfrac{7857}{7357}\implies \cfrac{\sqrt[11]{1375}}{\sqrt[11]{1375}}\implies \cfrac{spaghetti}{spaghetti}\implies \cfrac{lettuce}{lettuce}\implies \text{\Huge 1}[/tex]

so let's do the so-called rationalizing of the denominator, we can also do it with the numerator btw, but we only need it for the denominator right now, by multiplying for 1 :), 1 is Da Bomb baby!!

[tex]\cfrac{5}{2\sqrt{5}}\cdot \text{\LARGE 1}\implies \cfrac{5}{2\sqrt{5}}\cdot \cfrac{\sqrt{5}}{\sqrt{5}}\implies \cfrac{5\sqrt{5}}{2\sqrt{5^2}}\implies \cfrac{5\sqrt{5}}{2(5)}\implies \cfrac{5\sqrt{5}}{10}\implies {\Large \begin{array}{llll} \cfrac{\sqrt{5}}{2} \end{array}}[/tex]

Reason:

The smallest |x-5| can get is 0 since the result of an absolute value is never negative (because it represents distance).

So the smallest f(x) = |x-5|-3 can get is 0-3 = -3

f(x) = -3 or f(x) > -3 are the only two options for the output f(x).

Condense that into [tex]f(\text{x}) \ge -3[/tex] to arrive at choice C as the final answer.

The fancy notation of f(x) ∈ ℝ translates to "f(x) is a real number".

If you were to graph this using a tool like Desmos, then notice how the lowest point occurs when y =  -3

See the diagram below.

Answer:

R: {f(x) ∈ ℝ | f(x) ≥ –3}

Step-by-step explanation:

I got it right on the test.

Answer: is 7

Step-by-step explanation: Its 7 cuz 14 weeks