List at least five combinations of nickels and dimes such that the number of nickels is double the number of dimes.

The probability that a person surveyed is 40 or older and gets the news by reading the paper is 60%. The Option C is correct.

We must find the probability of a person getting their news by reading the paper and are given with a condition that the person must be 40 or older.

Data

The survey is conducted among 80 people.

Number of people aged 40 or older = 40

No of people aged 40 or older and read paper = 24

The probability of a person aged 40 or older reads a paper will be:

= (No. of People aged 40 or older and read paper)/(No. of people aged 40 or older)

= 24/40

= 0.6

= 60%

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Answer: 200

Step-by-step explanation: 20% of 200 is 40

Answer:

200

Step-by-step explanation:

Since 20% of the movie is equal to 40 minutes of the entire movie, simply just keep adding 40 repeatedly until you hit 100%.

40+40+40+40+40=200

^      ^     ^     ^     ^

20+20+20+20+20=100

↬ x² - 6x -5

Substituting x = 3:-

⟶ x² - 6x -5

⟶ (3)² - 6(3) -5

⟶ 9 - 6 × 3 - 5

⟶ 9 - 18 - 5

⟶ 9 - 23

⟶ -14

Answer:

[tex] \gg{ \underline{ \large \: \boxed { \bf {- 14}}}}[/tex]

Step-by-step explanation:

[tex] \large \: \sf { \underline{Given}}[/tex]

[tex] \large \sf \underline{Solution }[/tex]

[tex] \large \: \displaystyle \sf {x}^{2} - 6x - 5[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \large \bf \blue{ \underline{putting \: the \: value \: of \: x}}[/tex]

[tex]\large \: \displaystyle \sf \: {3}^{2} - 6(3) - 5 [/tex]

[tex]\large \: \displaystyle \sf \: = \: 9 - 18 - 5[/tex]

[tex]\large \: \displaystyle \sf \: = \: - 9 - 5[/tex]

[tex]\large \: \displaystyle \bf \red{= - 14}[/tex]

The real exchange rate (RER) is 259.2.

Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.

They would make a profit of $5 per shirt.

We have,

The real exchange rate represents the relative price of goods and services between two countries.

It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.

To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.

1800 rupees / 90 rupees per dollar = $20

The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.

The real exchange rate (RER) is calculated as:

RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price

RER = (90 rupees per dollar * 1800 rupees) / $25

RER = 6480 / $25

RER = 259.2

The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.

Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.

The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.

In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.

This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.

Therefore,

The real exchange rate (RER) is 259.2.

Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.

They would make a profit of $5 per shirt.

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It should be noted that 81.85% of the scores are between 72 and 87.

The probability that a score is greater than 77 is approximately 0.8413.

a) The z-score for 72 is calculated as:

z = (72 - 82) / 5 = -2

The z-score for 87 is calculated as:

z = (87 - 82) / 5 = 1

0.8413 - 0.0228 = 0.8185

So, approximately 81.85% of the scores are between 72 and 87.

b) The z-score for 77 is calculated as:

z = (77 - 82) / 5 = -1

1 - 0.1587 = 0.8413

Therefore, the probability that a score is greater than 77 is approximately 0.8413 (or 84.13%).

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The height from the ground to the top of the ladder is 61. 28 feet

First, we need to know that their are six different trigonometric identities.

These identities includes;

From the information given, we have that;

the height of the ladder that is leaning against the house = 80 feet

This the hypotenuse side

The angle of elevation is 50 degrees

Then, the opposite side is the height from the ladder = x

Using the sine identity, we have;

sin 50 = x/80

cross multiply the values

x = 61. 28 feet

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The pineapple has 1097g more mass than the apples.

We have,

The difference between two values is the result of subtracting one value from the other.

In this case, we want to find the difference between the mass of the pineapple and the mass of the apples.

To do this, we subtract the mass of the apples from the mass of the pineapple.

The equation for this is:

Pineapple mass - Apple mass = Difference

Substituting the given values:

3547g - 2450g = 1097g

Therefore,

The pineapple has 1097g more mass than the apples.

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Answer:

The given pattern does not form an arithmetic sequence as there is no common difference between each term. An arithmetic sequence is a sequence in which there is a fixed difference between each consecutive term. For example, 1, 3, 5, 7 is an arithmetic sequence with a common difference of 2 (adding 2 to each term gives the next term). However, the given pattern of 1/2, 1, 2/3, 2 does not follow this pattern as the difference between each term varies. Therefore, this pattern does not fit the definition of an arithmetic sequence.

Step-by-step explanation:

Alma need to use 6 cups of blue paint and 4 cups of red paint with the 2 cups of white paint.

Here, Alma makes 5 cups of her favorite shade of purple paint by mixing

3 cups of blue paint,

1 1/2 cups of red paint,

and 1/2 a cup of white paint.

Alma has 2 cups of white paint.

The ratio of blue to the white paint is:

3 : (1/2)

so, for 2 cups of white paint,

3 : (1/2) = x : 2

x = 6 cups of blue paint

The ratio of red to the white paint is,

3: (1 1/2)

3 : (3/2)

So, for 2 cups of white paint,

3 : (3/2) = y : 2

y = 4 cups of red paint

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Answer:

2.38 s

4.62 s

Step-by-step explanation:

The height of a projectile is given by the function:

[tex]h(t) = -t^2 + 7t + 9[/tex]

where:

To determine the time(s) at which the rocket is 20 ft above the ground, set h(t) = 20 and solve for t.

[tex]-t^2+7t+9=20[/tex]

To solve the equation for t, complete the square.

Subtract 9 from both sides:

[tex]-t^2+7t=11[/tex]

Divide both sides by -1:

[tex]t^2-7t=-11[/tex]

Add the square of half the coefficient of the term with the variable "t" to both sides of the equation:

[tex]t^2-7t+\left(\dfrac{-7}{2}\right)^2=-11+\left(\dfrac{-7}{2}\right)^2[/tex]

Simplify:

[tex]t^2-7t+\dfrac{49}{4}=\dfrac{5}{4}[/tex]

We have now created a perfect square trinomial on the left side of the equation. Factor the perfect square trinomial:

[tex]\left(t-\dfrac{7}{2}\right)^2=\dfrac{5}{4}[/tex]

To solve for t, square root both sides:

[tex]t-\dfrac{7}{2}=\pm \sqrt{\dfrac{5}{4}}[/tex]

[tex]t-\dfrac{7}{2}=\pm\dfrac{\sqrt{5}}{2}[/tex]

Add 7/2 to both sides of the equation:

[tex]t=\dfrac{7}{2}\pm\dfrac{\sqrt{5}}{2}[/tex]

[tex]t=\dfrac{7\pm\sqrt{5}}{2}[/tex]

Therefore, the times at which the rocket is 20 ft above the ground is:

[tex]t=\dfrac{7-\sqrt{5}}{2}=2.38\; \rm s[/tex]

[tex]t=\dfrac{7+\sqrt{5}}{2}=4.62\; \rm s[/tex]

Yes, The given graph is shows a function.

And, Range = {y | y ≥ - 2}

Domain = (- ∞ , ∞)

We have to given that;

the graph is shown in image.

Now, We can check the graph is a function or not by vertical line test.

Hence, By vertical line test it's shows the function as it cut at one point for each value of y.

Thus, The given graph is shows a function.

Since, The set of all inputs of the function is called Domain of set.

Hence, We get;

Domain = (- ∞ , ∞)

And, The set of all outputs of the function is called range of set.

Hence, We get;

Range = {y | y ≥ - 2}

Thus, Yes, The given graph is shows a function.

And, Range = {y | y ≥ - 2}

Domain = (- ∞ , ∞)

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The magnitude of the speed of the particle is determined as √ (17), m/s.

option A.

The speed of a particle is defined as the rate of change of the particle's displacement with time.

Mathematically, the formula for the speed of the a particle is given as;

v = dx/dt

where;

The speed of the particle is calculated as;

v = u + at

where;

at time, t = 0, the equation for the speed of the particle becomes;

v = u

v = i + 4j

The magnitude of the speed is calculated as follows;

v = √ (1² + 4²)

v = √ (17), m/s

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Answer:

Step-by-step explanation:

m/1 = m  (Any number, except zero, divided by itself is 1)

m : 8 = 133 : 1

m = 8 * 133 : 1

m = 1064

----------------------

check

1064 : 8 = 133 : 1

133 = 133

the answer is good

Answer:

H

Step-by-step explanation:

Firstly, G and J cannot be the answers because the beginning numbers are too big. If you look at the fractions, you can see 2 and 7/8 because 2 is the smallest of all of them. Now the answer is between F and H.

In F, the second number is 3 and 1/2.

In H, the second number is 3 and 1/4.

If you want to make it an improper fraction to visualize better, it would be 7/2 and 12/4=6/2. Or you can just compare to see which is smaller, 1/2 or 1/4. In this case, 3 and 1/4 is smaller. Therefore the answer is H.

Answer:

4 miles per gallon. Answer choice B is correct.

Step-by-step explanation:

To find the gas mileage for each car, we need to divide the distance traveled by the amount of gasoline used.

For Mitra's car, the gas mileage is:

gas mileage = distance traveled / amount of gasoline used

gas mileage = 469.8 / 14.5

gas mileage = 32.4 miles per gallon

For Adira's car, the gas mileage is:

gas mileage = distance traveled / amount of gasoline used

gas mileage = 355 / 12.5

gas mileage = 28.4 miles per gallon

To find the difference in gas mileage, we can subtract the gas mileage for Adira's car from the gas mileage for Mitra's car:

difference = gas mileage for Mitra's car - gas mileage for Adira's car

difference = 32.4 - 28.4

difference = 4 miles per gallon

Therefore, the difference in gas mileage between the two cars is 4 miles per gallon. Answer choice B is correct.

Each pound of bananas costs $1.49 for the 10-pound package and $1.51 for the 8-pound package.

The 10 pounds of bananas is the better buy because $1.49 is the cheaper price per pound.

We have,

Part A:

To find the cost of each pound of bananas in each case,

We can use the unit rate.

- For 10 pounds of bananas at $14.90, the cost per pound is:

$14.90 ÷ 10 pounds

= $1.49 per pound

- For 8 pounds of bananas at $12.08, the cost per pound is:

$12.08 ÷ 8 pounds

= $1.51 per pound

Part B:

The better buy is the one with the lower cost per pound.

Since $1.49 is less than $1.51, the 10-pound package is the better buy.

The 10 pounds of bananas is the better buy because $1.49 is the cheaper price per pound.

Therefore,

Each pound of bananas costs $1.49 for the 10-pound package and $1.51 for the 8-pound package.

The 10 pounds of bananas is the better buy because $1.49 is the cheaper price per pound.

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Answer:

k = 8.4; j = 13.1

Step-by-step explanation:

We can find the measures of j and k using trigonometric ratios, namely the tangent ratio and the cosine ratio

If we allow 40 to be our reference angle...

Because we're not given the measure of either j or k, we have to use 10 each time

Steps to find j:

[tex]cos(40)=\frac{10}{j}\\ \\j*cos(40)=10\\\\j=\frac{10}{cos(40)}\\ \\j=13.05407289\\\\j=13.1[/tex]

Steps to find k:

[tex]tan(40)=\frac{k}{10}\\ \\10*tan(40)=k\\\\8.390996312=k\\\\8.4=k[/tex]

Answer:14

Step-by-step explanation:

2 pants can only go with the different shirts once. So it should be 14

Answer:

7

Step-by-step explanation:

a= a+b/2*h

Answer:

$814 she kept for 5 years if she don't spend it

Step-by-step explanation:

Answer: 0.15

I don't really know how to show you work on here but you can think about it like this. if 5 x 3 is 15, and if there is a decimal like 0.3 x 0.5 it would result in the answer getting smaller as you're multiplying decimals if that makes sense... so it would result in the answer being 0.15. Sorry if it wasn't a good explanation.

The boat is moving at 48 mph while the current is moving at 9 mph in still water.

Let's use the letters "B" for the boat's speed in still water and "C" for the current's speed.

The boat's effective speed upstream is B - C because it is moving against the current.

Since the boat is moving downstream against the tide, its effective speed is equal to B plus C.

Based on the supplied data, we can construct the following two equations:

234 = 6(B - C)

342 = 6(B + C)

Making these equations simpler:

39 = B - C

57 = B + C

Now that we have added the two equations, we may solve for B and C:

39 + 57 = 2B

96 = 2B

B = 48

Therefore, the boat's speed in calm water is 48 mph.

To find C, we can rewrite one of the initial equations with this value as a substitute:

39 = 48 - C C = 9

Thus, the current is moving at a 9 mph velocity.

Therefore, the boat is moving at 48 mph while the current is moving at 9 mph in still water.

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The parent function is [tex]y = ab^x[/tex]

A function for the translation indicated is [tex]y = ab^{x+6} - 7[/tex].

In Mathematics and Geometry, the vertical translation a geometric figure or graph downward simply means adding a digit to the value on the y-coordinate of the pre-image or function.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the negative y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

In this scenario, we can logically deduce that the graph of the parent function  was translated or shifted to the left (horizontally) by 6 units and downward (vertically) by 7 units;

[tex]y = ab^x[/tex]

[tex]y = ab^{x+6} - 7[/tex]

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The radius of the circle is 36 centimetres.

The circumference of the circle is  75.36 centimetres.

Let's find the radius of the circle with 20 degrees arc and length of 4π centimetres.

Length of an arc = ∅ / 360 × 2πr

where

Therefore,

Length of an arc  = 20 / 360 × 2 × π × r

4π = 40πr / 360

4π = 1 / 9 πr

cross multiply

πr = 36π

divide both sides by π

r = 36 centimetres

radius = 36 centimetres

b.

The equilateral triangle is inscribed in the circle. Therefore, the circumference of the circle can be found as follows:

The radius of the circle can be found using trigonometric ratios as follows:

The radius is an angle bisector. Hence,

sin 30 = opposite / hypotenuse

0.5 = 6 / r

cross multiply

r = 6 / 0.5

r = 12 centimetres

Lets' find the circumference,

circumference of the circle = 2πr

circumference of the circle = 2 × π × 12

circumference of the circle = 24 × 3.14

circumference of the circle = 75.36 cm

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We can see here that the distinct orders of light bulbs that are there if two light bulbs of the same color are considered identical is: 4,620.

We can see here that in order to find the solution, we use the permutation with repetition formula:

n! / (n1! × n2! x ... × nk!)

In order to adjust for overcounting, we divide by 3! because of the 3 red light bulbs we have. For the 2 yellow light bulbs, we divide with 2!. For the 6 pink light bulbs, we divide by 6!. This is because we are treating lights bulbs of the same color which are identical.

Therefore, the total number of distinct orders of bulbs will be:

11! / (3! × 2! × 6!) = 4,620

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A system of linear equations that describes this situation include the following;

x = 5y

x + y = 24

In order to write a linear equation or function to describe this situation, we would assign variables to the length of the longer piece and the length of the shorter piece in feet respectively, and then translate the word problem into a linear equation as follows:

Since one piece is five times as long as than the other and the length of the longer piece plus the length of the shorter piece equals 24 feet, a system of linear equations or function to describe this situation can be written as follows;

x = 5y

x + y = 24

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Sawyer has 4 cousins given that Hazel has 2 times as many cousins as Sawyer.

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Hazel = 2 * Sawyer

Let c stand for the number of cousins Sawyer has.

So, we have

Hazel = 2 * c

Substitute the known values in the above equation, so, we have the following representation

2 * c = 8

Divide by 2

c = 4

Hence, the number of cousins Sawyer has is 5

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