A grocery store sign indicates that plums are 6 for $1.50, and a sign by the apples indicates that they are 5 for $3.00. Find the total cost of buying 2 plums and 2 apples.

*Determine how much per plum and apple before finding the total cost.
A grocery store sign indicates that plums are 6 for $1.50, and a sign by the apples indicates that they are 5 for $3.00. Find the total cost of buying 2 plums and 2 apples.

*Determine how much per plum and apple before finding the total cost.

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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i think the median of the distribution is c

The value of f(3) is 147.3306

The function is given as:

\(f(x)=147+2e^{-0.6x\)

Substitute 3 for x

\(f(3)=147+2e^{-0.6*3\)

Evaluate the product

\(f(3)=147+2e^{-1.8\)

Evaluate the exponent

f(3)=147 + 2* 0.1653

Evaluate the sum

f(3) = 147.3306

Hence, the value of f(3) is 147.3306

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Answer:yes

Step-by-step explanation:(i just want points)

Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

Answer:

$0.40

Step-by-step explanation:

Answer:

$0.40 per oz

Step-by-step explanation:

6.40/16 = 0.40

0.40 x 16 = 6.40

Answer:

Step-by-step explanation:

Given the function  h(x) = (x – 1)³ + 10 so that h(x) = (g°f)(x). If f(x) = x + a and g(x) = x³ + b, then;

g(f(X)) = g(x+a).

To get g(x+a), we will have to replace the variable x with x+a in g(x) as shown;

g(x+a) =  (x+a)³ + b

g(f(x)) =  (x+a)³ + b

Since h(x)= g(f(x)) = (x – 1)³ + 10

g(f(x)) = (x+a)³ + b = (x – 1)³ + 10

Hence  (x+a)³ + b = (x – 1)³ + 10

On comparing the coefficients to get the value of a and b;

(x+a)³  = (x-1)³

Take the cube root of both sides

∛(x+a)³  = ∛(x-1)³

x+a = x-1

x+a-x = -1

a = -1

Also on comparing, b = 10

Hence the values of a and b would make the composition true are -1 and 10 respectively.

Answer:

a: -1

b: 10

edge 2020

The probability that all four alarm systems will detect a theft when it occurs is the product of their individual probabilities, since each system operates independently of the others. Therefore, the probability is:

(.99)^4

This simplifies to:

0.96059601

Rounding to four decimal places, we get:

0.9606

So the answer is (a) (.99)^4, which is approximately 0.9606.

Since we know it's quadratic, the n-th term will follow the pattern

\(x_n = an^2 + bn + c\)

for some unknown coefficients a, b, and c.

Given that \(x_1=-1\), \(x_2=2\), and \(x_3=7\), we have the following conditions on these coefficients:

\(\begin{cases} a + b + c = -1 \\ 4a + 2b + c = 2 \\ 9a + 3b + c = 7 \end{cases}\)

Solve this system to get a = 1, b = 0, and c = -2. Then

\(\boxed{x_n = n^2 - 2}\)

To solve the system, use elimination.

\((4a + 2b + c) - (a + b + c) = 2 - (-1) \implies 3a + b = 3\)

\((9a + 3b + c) - (a + b + c) = 7 - (-1) \implies 8a + 2b = 8 \implies 4a + b = 4\)

\((4a + b) - (3a + b) = 4 - 3 \implies a = 1 \implies b = 0 \implies c = -2\)

Answer:

2 1/2= 2 3/6

7 1/6 + 2 3/6 = 9 4/6= 9 2/3

hope this helps!

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Step-by-step explanation:

The balance of the unsubsidized loan at the time of graduation is $3,691.10.

Given:

Principal amount = $2,560

Interest rate = 6.8% = 0.068

Time period = 6 months

We can use the formula for compound interest to calculate the future value:

\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)

Substituting the value back into the formula as

Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)

                      = \($2,560 (1 + 0.00566667)^{(72)\)

                      = \($2,560 (1.00566667)^{(72)\)

                      = $2,560 * 1.44044291

                       = $3,691.10

Therefore, the balance is $3,691.10.

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The equation that can be used to solve for the number of classes, cc, for which Class AA and Class BB cost the same is 5cc + 10 = 8cc.

To solve for the number of classes, cc, for which Class AA and Class BB cost the same, we can use the following equation:

5cc + 10 = 8cc

In this equation, 5cc represents the fee structure for Class AA, and 8cc represents the fee structure for Class BB. The + 10 represents an additional flat fee for Class AA that is not present in Class BB.

To solve for cc, we can simplify the equation by combining like terms:

10 = 3cc

Next, we can solve for cc by dividing both sides of the equation by 3:

cc = 10/3

Therefore, Class AA and Class BB will cost the same when there are 10/3 or approximately 3.33 classes. Since we cannot have a fraction of a class, we can round up to 4 classes as the answer.

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The probability of randomly selecting a red, then a free marble from a bag of 5 red, 8 green, and 3 marbles

a)  0.1563

b) 0.1667

Since we are  given with bag of  5 red, 8 green, and 3 marbles. so, r=5, g=8 and b=  3. For the first  case, we replace the first  marble before drawing the second,  the total number of marble =  5 + 8 + 3 = 16. So, the probability of drawing a red marble at the 1st attempt is: 5/16. Then, the first marble is replaced back into the bag before making the second draw. Probability of drawing green marbles at the second draw is: 8/16= 1/2, Therefore the probability of selecting a red, then a green marble is: 5/16 * 1/2 = 5/32 =0.1563

For the second case , we do not replace the first marble, the probability of drawing a red marble at the 1st draw is:5/16 . Since we don't replace the balls  so the number of marbles remaining in the bag is: 16-1 =15 ,the probability of drawing green marbles at the second draw is: 8/15, therefore the combined probability of selecting a red, then a green marble is: 5/16 * 8/15  =0.1667

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If the hοtel rοοm fοr Karina and her friend cοsts $86 and they park fοr 7 hοurs, then she will pay $119.

The cοst οf anything is the sum οf mοney οr resοurces that must be used up in οrder tο acquire οr manufacture it. It is a measurement οf the cοsts incurred tο attain a specific οbjective οr result.

The expressiοn tο represent the cοst οf Karina's theme park trip wοuld be:

38 + 10 + 4h + (1/2)r

This includes the $38 entry price, the $10 lunch expense, and the $4 per hοur parking expense fοr the 72 hοurs. Given that Karina and her friend are splitting the cοst οf the hοtel rοοm, the final phrase (1/2)r denοtes Karina's pοrtiοn οf the expense.

If the hοtel rοοm fοr Karina and her friend cοsts $86 and they park fοr 7 hοurs, we can change these values intο the fοrmula tο make it simpler:

= 38 + 10 + 4(7) + (1/2)(86)

= 38 + 10 + 28 + 43

= $119

Therefοre, Karina will pay $119 fοr her theme park trip.

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The value of p is p = 3.17.

What is a linear equation in one variable?

The linear equation in one variable is an equation that is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

The given equation is 9p-3p-5=19.

To solve for p, we need to isolate the p term on one side of the equation. Currently, p is part of the term 9p-3p, which can be simplified to 6p.

We can then rewrite the equation as:

6p = 19

To solve for p, we need to divide both sides by 6:

p = 19/6

= 3.17

Therefore, the value of p is p = 3.17.

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Answer:

add them together and equal them to 180 i think

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

42/6=7

Answer:

Step-by-step explanation:

I hope that is useful for you :)

Answer: 18.4050

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Answer:

155

Step-by-step explanation:

Answer:

19%

Step-by-step explanation:

We need to find what percent is $17.32 of $92.00.

To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.

percent = part/whole × 100%

percent = 17.32/92 × 100%

percent = 18.826...%

Answer: 19%

Answer:

x               y

4              180

8              360

12             540

Step-by-step explanation:

hope this helpss

Answer:

There are 200 base balls

Step-by-step explanation:

240 divided by 6 is 40, times 40 by the 5 and you get 200

Answer:

21

Step-by-step explanation:

Step 1:

0.6x - 0.1 = 0.5x + 2      Equation

Step 2:

0.1x - 0.1 = 2     Subtract 0.5x on both sides

Step 3:

0.1x = 2.1     Add 0.1 on both sides

Step 4:

x = 2.1 ÷ 0.1    Divide

Ansewr:

x = 21

Hope This Helps :)

Answer:

$167.50

Step-by-step explanation:

Since the state pays 40% of the health insurance, Maggie will have to pay 100 - 40 = 60% of the insurance amount annually

60% = 0.6 decimal

So Maggie pays 0.6 x 6700 = $4,020

Maggie is paid semi-monthly ie 2 paychecks a month

In a year, there are 12 months so Maggie receives 24 paychecks annually

The total insurance amount of 4020 is split over 24 paychecks

So each paycheck deduction will be 4020/24 = $167.50

The speed of the power boat is 20 mph and the speed of the cabin cruiser is 15 mph.

Let the speed of the power boat be x mph. Then, the speed of the cabin cruiser will be (x - 5) mph.Distance covered by the power boat in the given time = 40 miles

Distance covered by the cabin cruiser in the given time = 20 milesWe know that: Speed = Distance / TimeTherefore, we can write the following equations:

For power boat: x = 40 / tFor cabin cruiser: (x - 5) = 20 / twhere t is the time taken by the boats to travel the given distances. We can see that the time taken is the same for both boats (as they travel the same distance in the same time).Equating the two equations above, we get:x = (40 / t) + 5(taking the second equation and adding 5 to both sides)Multiplying both sides by t, we get:xt = 40 + 5tMultiplying both sides by 2, we get:2xt = 80 + 10t

We know that: Distance = Speed x Time

Therefore, the time taken by the boats to travel the given distances can be written as:t = Distance / SpeedSubstituting this in the equation above, we get:2x(20 / x) = 80 + 10xSimplifying, we get:40 = 80 + 10x - 2xx = 20 mphSubstituting this value in the equation (x - 5) = 20 / t, we get:(20 - 5) = 15 mph

Summary: Thus, the speed of the power boat is 20 mph and the speed of the cabin cruiser is 15 mph.

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Examples of Linear function are 6x + y = -1; and y = x + 5;

A linear function is the function that consists of one independent variable and one dependent variable without any exponents or powers.

The order of a linear function is always 1.

An example of such an equation can be:

6x + y = -1

Another definition of a linear function is the function that represents a straight line on the graph.

Except y=0; x=0; As y=0 represents the y-axis on the graph while x=0 represents the x-axis on the graph. Any other straight line other that these are known as Linear function.

Example of such a linear function can be:

y = x + 5

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The largest possible integer or maximum value that could be included in the set is 4897.

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This usually means average.

The median is the middle value of the list ordered from smallest to largest.

Mode is the most frequently occurring value in the list.

Numbers x1,x2,x3,x4 and x5 (these are in numerical order.)

We know that (x1+x2+x3+x4+x5) / 5 = 1000. This is equivalent to x1+x2+x3+x4+x5 = 5000.

Also, the median of (x1,x2,x3,x4,x5) is (x3) = 100. So x3=100.

x1+x2+100+x4+x5=5000

x1+x2+x4+x5=4900

Since x1, x2,x4 are positive,

The maximum value of x5 is 4897.

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