A different toy store marks down all
of their toys by 25% in January.
How much does a $50 remote
controlled car cost during January's
sale?

Answer: Assume π = 3.14(rounded upto two decimal point)

Case I. 1 year = 365 days

2 years = 730 days

3 years = 1095 days

And .14 years = 51 days 2 hours 24 minutes

So, 3.14 years = 1146 days 2 hours 24 minuts.

Now, suppose you born in a leap-year.

Case II. 1 year = 366 days

2 years = 732 days

3 years = 1098 days

and .14 years = 51 days 5 hours 45 minutes 36 seconds

Then, 3.14 years = 1149 days 5 hours 45 minuts 36 seconds

So, yes, it is possible to be exactly π years old. At exactly 1146 days 2 hours 24 minutes or 1149 days 5 hours 45 minutes 36 seconds (in case of a leap-year born), we could have celebrate at our π years birthday.

Step-by-step explanation:

Answer:

CHF the number of the person who is this and what is the address of the house and the kids are not going to be able to make it

Step-by-step explanation:

you are not going to be able to make it to the meeting tonight but I can tomorrow if you want to

Answer:

a) The complete square form =  ( x-11)² = 116

b)   x = 11 + 2√29

Step-by-step explanation:

Step(i):-

Given equation   x² = 22x -5

              ⇒ x² - 22x + 5 =0

             ⇒  x² - 2× 11 x + (11)² -(11)² + 5=0

            ⇒ ( x- 11)² -121 +5 =0

           ⇒  ( x-11)² = 116

The complete square form =  ( x-11)² = 116

Step(ii):-

           ⇒  (x-11) = √116 = √29 ×√4

           ⇒  x-11 = 2√29

          ⇒   x = 11 + 2√29

Answer:

its A

Step-by-step explanation:

:)

Answer: 2,754 students

Step-by-step explanation:

18 / 270= 1/15

(1/15)(41,310) = 2,754 students

The amount of money that is take home pay would be = $3,491.91

The amount of money that is your fix expenses would be = $1,257.09

The amount of money that you make each month = $3,764.82.

The percentage of deduction made for FICA = 7.25%

That is;

= 7.25/100 × 3,764.82/1

= 27294.945/100

= $272.91

Therefore, the take home pay ;

= $3,764.82-$272.91

= $3,491.91

The percentage of the fixed expenses = 36% of the realised income.

That is, 36/100 × 3,491.91/1

= 125708.76/100

= $1,257.09.

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Answer:

obtuse acute

Step-by-step explanation:

Answer:

Say you take a pizza and cut it perfectly down the middle so there are two slices. Each slice is a half or 1/2 of the pizza.

Answer:

1 3/4

Step-by-step explanation:

Answer: Option D

Step-by-step explanation: Explanation:

7/4 is an improper fraction. Let's take the numerator and divide it by the denominator.

Divide 7 by 4. The quotient digit is 1.

Multiply the quotient digit 1 by the divisor 4.

Subtract 4 from 7.

The result of 7 divided by 4 is 1 with a remainder of 3.

Thus, 7/4 as a mixed number can be written as 1 3/4.

The correct statement regarding the solution to the system of equations is given as follows:

b. (1,2) is a solution to both the lines A and B.

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

This point of intersection is a solution to both of the equations, hence it is the solution to the system of equations.

The coordinates of the point of intersection in this problem are given as follows:

(1,2).

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The system of linear equations has no solutions for any value of k except when k = 2, where it has infinitely many solutions.

(a) To reduce the augmented matrix for the system of linear equations to row-echelon form, we can write the system of equations as:

2 - y = kx

-y = k

To eliminate y in the first equation, we can multiply the second equation by (-1) and add it to the first equation:

(2 - y) - (-y) = kx - k

2 = kx - k

This gives us a new system of equations:

2 = kx - k

Now, we can represent this system in augmented matrix form:

[1 -k | 2]

(b) To find the values of k, we can examine the augmented matrix.

If the system has no solutions, it means that the rows of the augmented matrix result in an inconsistent equation, where the last row has a leading nonzero entry. In this case, for the system to have no solutions, the augmented matrix should have a row of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix [1 -k | 2] doesn't have this form, so there are no values of k that lead to no solutions.

If the system has exactly one solution, the augmented matrix should be in row-echelon form, with each row having at most one leading nonzero entry. In this case, the augmented matrix should not have any rows of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix can be reduced to row-echelon form as follows:

[1 -k | 2]

From this form, we can see that there are no restrictions on the value of k. For any value of k, the system will have exactly one solution.

If the system has infinitely many solutions, the augmented matrix should have at least one row of the form [0 0 | 0]. In our case, the augmented matrix can be reduced to:

[1 -k | 2]

From this form, we can see that if k = 2, the last row becomes [0 0 | 0]. Therefore, for k = 2, the system will have infinitely many solutions.

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By using the concept of loan, it is calculated that

Monthly payment for a three year loan = $203.56

What is a loan?

The amount of money borrowed which needs to be paid back with interest is called loan.

Here, the concept of loans will be needed

Bart borrows $7000 from a local bank

The table shows monthly payment per $1000

So the values obtained from table has to be multiplied by 7

Monthly payment for a three year loan = $29.08 \(\times\) 7 = $203.56

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Answer:

4188.79

Step-by-step explanation:

Formula for volume of a sphere: let V be volume and r be diameter:

V=(4/3)pi(r)^3

Pi can be written as 3.141593

Answer:

Open dot to the left. Dot on zero.

Step-by-step explanation:

Answer:

I hope this helps!

Answer:

420 $40 tickets.

Step-by-step explanation:

Here is the explanation.

1. As 700 tickets cost a total of $33600, the average cost of each ticket is $48.

2. As there are 700 total tickets with each costing $40 or $60, we can use the total cost ($33600) to define the amount of each ticket.

3. If there were to be 420 $40 tickets, there will be 280 $60 tickets.

4. This means that the cost of each price of tickets ($40 and $60) will be distributed evenly among the total price, each costing $16800.

5. 420 x 40=16800 280x60=16800

6. There are 420 $40 tickets sold at the concert.

Hope the explanation helps!

Answer:

37.68ft

Step-by-step explanation:

Answer:

37.68 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d  where d is the diameter

C = 3.14 * 12

C =37.68 ft

We have -2 from the values in the provided solution set, which is the necessary value.

what is solution set?

A solution set is a group of values in mathematics that satisfy a specified set of equations or inequalities. A constrained optimization problem's viable zone is its solution set of constraints.

Given: - 5x - 15 > 10 + 20x

Let's eliminate the variable x in order to solve the inequality.

5 times both sides,

- 5x - 15 + 5x > 10 + 20x + 5x

- 15 > 10 + 25x

Subtracting 10 from both sides

- 15 - 10 > 10 - 10 + 25x

- 25 > 25x

Dividing both sides by - 25

-1 > x

x < - 1

We have -2 from the values in the provided solution set, which is the necessary value.

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Answer:

B

Step-by-step explanation:

Answer:

2 3/4 = 11/4 :)

Step-by-step explanation:

Whole number times denominator then add the numerator!

Hope this helps, marks as brainliest please!

Three different vectors are [-8, 14],  [-6, 16], and [15, -18].

To find three different vectors that are in the span of the given vectors \(u_1\) = [-3, 8] and \(u_2\) = [-5, 6], we can use linear combinations of these vectors.

Let's call the three different vectors \(v_1\), \(v_2\), and \(v_3\). We can express them as follows:

\(v_1\) = \(u_1\) + \(u_2\) = [-3, 8] + [-5, 6] = [-3 + (-5), 8 + 6] = [-8, 14]

\(v_2\) = 2\(u_1\) = 2[-3, 8] = [-6, 16]

\(v_3\) = -3\(u_2\) = -3[-5, 6] = [15, -18]

Therefore, three different vectors that are in the span of \(u_1\) and \(u_2\) are \(v_1\) = [-8, 14], \(v_2\) = [-6, 16], and \(v_3\) = [15, -18].

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Answer:

Answer- 50

Step-by-step explanation:

V= 1/3 x base x height

What Meg needs to find is the whole and what Steve needs to find is the part.

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

a/b * 100

(in percentage)

Since Meg already knows the part and the percent which is 10 and 33% respectively, then it means that what she needs to find is the whole which is the total number of dogs she saw.

Steve already knows the whole which is 12 dogs and the percent which is 50% and as such what he will need to do now is to find the part that makes up the percentage part.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

The main answer to the problem 8x + c = k for x is:

x = (k - c)/8

Isolating x on one side of the equation by performing inverse operations. First, subtract c from both sides:

  8x + c - c = k - c
  8x = k - c

Now, we need to get x by itself. To do this, we'll divide both sides of the equation by 8:
  8x / 8 = (k - c) / 8
  x = (k - c) / 8

So, the main answer is x = (k - c) / 8.


This corresponds to option D in your list of choices:
D. x = (k - c) / 8

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The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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