22. Valerie is using the formula C = 1.5q + 6 to calculate the total cost, C, in dollars to make a floral arrangement. If $36 is the total cost of making each floral arrangement, what is q?
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Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Answer:

The value of the expression is 0.5.

Step-by-step explanation:

To evaluate, we need to do order of operations.

To solve, we start with the parenthesis because they come first in the order of operations.

-1+3[(10-12)³/(-16)]

-1+3[-2³/-16]

Now we do the second thing in the order of operations, which is to simplify the exponents.

-1+3[-8/-16]

Now we do the third thing left to do, which is to do division and multiplication from left to right.

-1+3[0.5]

-1+1.5

Now we do the last thing left to do, which is to do addition and subtraction from left to right.

0.5

So the value of this expression is 0.5.

Multiply 15 and 6.8. So speed * time = distance

So the answer is 102

Answer:

6/12

Step-by-step explanation:

there is a total of 12 boxes and six are colored so 6/12

PLEASE RATE!!

Answer:

  (a)  5/12

Step-by-step explanation:

The product of the fractions is the portion of the figure that is "doubly-colored." We notice the top half of the figure is colored yellow; the left 5/6 of the figure is colored blue. The 5 of 12 rectangles at upper left are green, indicating a combination of yellow and blue coloring.

The product is shown as 5/12.

Answer:1.00

Step-by-step explanation:

A=74-72/2.0

And I did it on kahn

The z - score for the Stephanie’s exam grade will be 1.

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The grades on a physics midterm at Covington are roughly symmetric with μ = 72 and σ = 2.0.

And,  Stephanie scored 74 on the exam.

Now,

The formula for the z - score = ( X - μ ) / σ

Substitute all the values, we get;

The z - score for the Stephanie’s exam grade = ( 74 - 72 ) / 2.0

                                                                       = 2 / 2

                                                                       = 1

Thus, The z - score for the Stephanie’s exam grade will be 1.

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Answer:

-Picture attached-

Step-by-step explanation:

The gradient would be 4, with a rising graph and the y-intercept would be 1. I attached a picture of the graph, hope it helps.

Answer:

What do you mean by this I don't get the question you are asking?

Step-by-step explanation:

Answer:

what I have to solve for give proper question

The method of proof required to prove the statements are are as follows:(a) proof by contradiction. (b)  proof by construction. and (c) proof by contrapositive.

a) To prove the statement "there are no integers x and y such that x is a prime greater than 5 and x 6y 3", we can use proof by contradiction.

The proof starts by assuming that there exist integers x and y such that x is a prime greater than 5 and x 6y 3. We then show that this assumption leads to a contradiction, i.e., a statement that cannot be true.

Suppose that x is a prime greater than 5 and x 6y 3 for some integers x and y. Then, we can write x as x = 6y + 3 = 3(2y + 1). This means that x is divisible by 3 and hence cannot be a prime greater than 5, contradicting our initial assumption. Therefore, our assumption that there exist integers x and y such that x is a prime greater than 5 and x 6y 3 is false, and the statement is proven.

b) To prove the statement "for all integers n, if n is a multiple of 3, then n can be written as the sum of consecutive integers", we can use proof by construction.

The proof starts by taking an arbitrary integer n that is a multiple of 3. We then construct a sequence of consecutive integers whose sum is equal to n.

Let k = n/3 be an integer. Then, we can write n as n = 3k. We can now construct a sequence of consecutive integers starting from k - (k-1) = 1 and ending at k + (k-1), such that their sum is n. For example, if k = 4, then the sequence is 1, 2, 3, 4, 5, 6, 7, and their sum is 3k = 12 = 1+2+3+4+5-6-7. Since we can construct such a sequence for any integer n that is a multiple of 3, the statement is proven.

c) To prove the statement "for all integers a and b, if a 2 b 2 is odd, then a or b is odd", we can use proof by contrapositive.

The contrapositive of the statement is: "if both a and b are even, then a 2 b 2 is even". To prove this, we can use the properties of even numbers, which can be written in the form 2k for some integer k.

Suppose that both a and b are even. Then, we can write a = 2m and b = 2n for some integers m and n. Substituting these values into the expression a 2 b 2, we get:

a 2 b 2 = (2m)2 (2n)2 = 4m2n2 = 2(2m2n2).

Since 2m2n2 is an integer, we have shown that a 2 b 2 is even. Therefore, the contrapositive statement is true.

Since the contrapositive statement is true, the original statement "for all integers a and b, if a 2 b 2 is odd, then a or b is odd" must also be true, because it is the logical equivalent of the contrapositive.  

Therefore, the mentioned statements are proved with the methods of contradiction, construction, and contrapositive.

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Answer:

0.32 = 32% probability that an employee selected at random will need either corrective shoes or major dental work.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Needing corrective shoes.

Event B: Needing major dental work.

14% of the employees needed corrective shoes

This means that \(P(A) = 0.14\)

21% needed major dental work

This means that \(P(B) = 0.21\)

3% needed both corrective shoes and major dental work.

This means that \(P(A \cap B) = 0.03\)

What is the probability that an employee selected at random will need either corrective shoes or major dental work?

This is:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

So, from the values given by the exercise:

\(P(A \cup B) = 0.14 + 0.21 - 0.03 = 0.32\)

0.32 = 32% probability that an employee selected at random will need either corrective shoes or major dental work.

Answer:

636 million miles.

Step-by-step explanation:

672 minus 36 is 636. (Because they're both in the millions, you can just subtract their face values).

Since they have the same term (million) we simply subtract 672 and 36, then add million to the answer. 636 million miles is the difference in distance.

A valid solution of x in the equation √(x - 1) - 5 = 2 - 8 is 2

The given equation is √(x - 1) - 5 = 2 - 8

Examining the equation shows that the equation has a radical which is square root

the equation √(x - 1) - 5 = 2 - 8 is solve by collection the like terms

√(x - 1) - 5 = 2 - 8

add 5 to both sides

√(x - 1) - 5 + 5  = 2 - 8 + 5

√(x - 1)  = -1

solving the radical part

√(x - 1)  =  -1

(x - 1)  =  -1²

x - 1 = 1

x = 1 - 1

x = 2

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From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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We are given two points

A = (2, -1)

B = (-3, 5)

Ratio = 1:2

Let the ratio be P

Therefore, P is 1:2

Slope = Rise / Run

Rise = y2 - y1

Run = x2 - x1

x1 = 2, y1 = -1, x2 = -3 and y2 = 5

P = 1 / 1+ 3

P = 1/3

The horizontal distance is the same as run

Run = x2 - x1

=-3 - 2

Run = -5

Therefore we have

P x run

1/3 x -5

= -5/3

The distance between P and A on the x - axis is

-5/3 - 2

= -11/3

Rise = y2 - y1

5 - (-1)

= 5 + 1

Rise = 6

1/3 x 6

6/3 = 2

The distance between A and P on the y axis is

2 -(-1)

=2 + 1

= 3

The points are -11/3 and 3

The answer is (-11/3, 3)

The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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Answer (-3,1) because the lines are intersecting there.

Using equivalent angles, the solutions to the equation are given as follows:

\(\theta = 255^\circ, \theta = 285^\circ\)

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, the equation is:

\(\sin{\theta} = -0.966\)

Applying the inverse relation:

\(\theta = \arcsin{-0.966} = 255^\circ\)

Which is on the third quadrant. The equivalent angle on the fourth quadrant is given as follows:

\(270^\circ + (270^\circ - 255^\circ) = 285^\circ\)

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The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Answer:

C

Step-by-step explanation:

Answer:

She Can Buy Around 17 Games

Step-by-step explanation:

300-85=215÷12=17

The balance sheet attached shows the Total Assets to be $55.968M  and Total Liabilities and Capital to be $252M respectively.

1. Assets:

  a. Cash in Reserves:

The required reserves are 5.4% of checkable deposits.

Therefore, the required reserves amount to 5.4% of $92 million, which is:

(0.054 * $92 million) = $4.968 million.

This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.

  b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:

total loan =  $28 million + $23 million

                 = $51 million.

2. Liabilities:

  a. Checkable Deposits:

The bank received $92 million in checkable deposits.

  b. Required Reserves:

As mentioned above, the required reserves amount to $4.968 million.

3. Capital:

  The bank started with $155 million in capital.

Based on the above information, the bank's balance sheet would look as attached.

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The pupils walk 120 meters in total, 40 meters to the right and 80 meters to the left.

Distance is an object's overall movement, regardless of direction. Regardless of an object's starting or ending point, distance can be defined as the amount of ground it has traveled.

the distance between two objects, points, lines, etc., in any direction. the condition or occurrence of being away from another object or person in space; distance. an area that is linear: Seven miles is too far to go in an hour of walking.

given

walk = 80 m + 40 m

= 120 m

The pupils walk 120 meters in total, 40 meters to the right and 80 meters to the left.

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Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

Answer:

domain x range y

Step-by-step explanation:

hopefully it helps

Answer: 48 red beads

Step-by-step explanation:

3 red beads: 1 bracelet

16 bracelets * 3 read beads/1 bracelet=

16*3/1=

16*3=48 red beads

The estimated value of 2/3 is roughly 0.67, of 1 it is 1 and for 0 it is 0.

What does a estimate mean?

A number given to a demographic parameter that was taken from the a statistical sample. A pricing estimate for the job that needs to be done. 3. an assessment or view of the essence, character, or trait of an object or a person.

What is an illustration of an estimate?

To make computations simpler, an estimate is an approximate estimation of the real value, amount, or quantity.

For 2/3, on dividing we get the value as 0.67.

Since 1 is a number and doesn't need to be rounded or approximated, the guess is 1.

Since it is a number without a fractional component, the approximation of 0 also is 0.

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Answer:

13 1/3 days

Step-by-step explanation:

Why: Because if 20 men can take 30 days then 75 being more will take a smaller number of days. Therefore you will do 20/75 x 30. This will give you 13 1/3 days

The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

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