A) A coat that sells for $240 is marked down 20%. What is the sales price of the coat. B) If the cost sells for x dollars, what would the sales price of the coat be in terms of x?

Answer:

Part A:

Each number in the pattern is 8 more than the previous number. (True)

The 8th number in the pattern would be 53. (True)

The 10th number in the pattern would be 77. (True)

Part B:

Tarik's statement is correct. His pattern follows the same rule as Savanna's pattern, which is to add 8 to each previous number to get the next number in the sequence. The fact that the two patterns have the same starting point and the same constant difference supports the conclusion that they have the same rule.

Nashia, this is the solution:

For x: we subtract the exponents, this way: 0 - 2 = -2

For y: we subtract the exponents this way: -3 - -1 = -2

In consequence the result after simplification is:

x -² y - ²

Your answer is:

A) 0; it represents no correlation between x and y

keep dreaming

Answer:

12

Step-by-step explanation:

144 divided by 12 is 12

Solve for x.

2x + 9 = 33

2x = 24

x = 12

A. x = 7.5

B. x = 12

C. x = 21

D. x = 84

Answer:

\(2x + 9 = 33 \\ 2x = 33 - 9 \\ 2x = 24 \\ x = \frac{24}{2} \\ x = 12\)

The total path length covered in 5 second will be 69.45 meter.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a train going at 70 km/h must reduce its speed to 30 km/h when passing over a bridge. It performs the operation in five seconds.

Using the first equation of motion -

v = u + at

(30 x 5/18) = (70 x 5/18) + 5a

(30 x 5/18) - (70 x 5/18)  = 5a

- (5/18) x 40 = 5a

- (200/18) = 5a

a = - (40/18)

a = - 2.22 m/s²

S = 19.44 x 5 + 0.5 x (- 2.22) x 25

S = 97.2 - 27.75

S = 69.45 meter

Therefore, the total path length covered in 5 second will be 69.45 meter.

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[Question translation in english -

A train going at 70 km/h must reduce its speed to 30 km/h when passing over a bridge if it performs the operation in five seconds what total path has been traveled in that time.]

Answer:

\(0.7308\)

Step-by-step explanation:

Given: A box contains 15 large marbles and 11 small marbles. Each marble is either green or white. 8 of the large marbles are green, and 5 of the small marbles are white.

To find: probability that a marble randomly selected is small or green

Solution:

Total number of marbles = \(15+11=26\)

Number of small marbles that are white = 5

Also, each marble is either green or white.

So,

Number of small marbles that are green = \(11-5=6\)

Total number of green marbles = Number of large marbles that are green + Number of small marbles that are green

= \(8+6=14\)

Probability = Number of favorable outcomes ÷ Total number of outcomes

Let E denotes the event that a marble selected is small.

Let F denotes the event that a marble selected is green.

P(E) = Number of small marbles ÷ Total number of marbles

       = \(\frac{11}{26}\)

P(F) = Number of green marbles ÷ Total number of marbles

      = \(\frac{14}{26}\)

P(E∩F) = \(\frac{6}{26}\)

Probability that it is small or green = P(E∪F)

= P(E) + P(F) -P(E∩F)

= \(\frac{11}{26}+\frac{14}{26}-\frac{6}{26}\)

\(=\frac{11+14-6}{26} \\\\ =\frac{19}{26} \\\\=0.7308\)

Answer:Jack has 60% of the books left to stack.

Step-by-step explanation:

Answer:

Step-by-step explanation:

60% (300-120) 180/300*100=60.  60%

Answer:

The one that has 303 as the answer is the correct one

P(2 ≤ x ≤ 3)  = 0.55 , using probability distribution.

What do you mean by probability distribution?

A frequency distribution that has been idealised is a probability distribution.

An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each possible value of a variable appears.

The probability of occurrence of a value determines how frequently it appears in a sample.

A value will occur more frequently in a sample the higher its probability.

It is given that discrete random variable has a distribution of

P(x = 1) = 0.15, P(x = 2) = 0.39, P(x = 3) = 0.16, P(x = 4) = 0.30

For P(2 ≤ x ≤ 3) = P(2) + P(3) = 0.39 + 0.16 = 0.55

Therefore, P(2 ≤ x ≤ 3)  = 0.55

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We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Answer: The equation is   3r = 33

That equation solves to r = 11. Divide both sides by 3 to solve that equation.

To form the original equation itself, we multiply 3 by r since your teacher mentioned "product of his height and 3". That product is set equal to 33. Notice that 3*r = 3*11 = 33.

The value of x is 54/35 when y=12 and z=21. The solution is obtained using the concept of relations and functions.

What is relation and function?

A relation belongs to the Cartesian product's subgroup or just a lot of points (ordered pairs). In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets.

A function is a special sort of relation (a collection of ordered pairs) that adheres to the rule that every X-value should only be connected with one y-value.

We are given that x varies directly as y and inversely as z.

This means that x ∝ y and x ∝ 1/z

So, x ∝ y/z

=> x = k*y/z  ( k is a constant)

Now, it is given that x = 3 when y = 10 and z = 9

So,

=> 3 = k*10/9

=> k = 27/10

=> x = 27y/10z

When y=12 and z=21,

=> x = 27*12/10*21

=> x = 54/35

Hence, the value of x is 54/35 when y=12 and z=21.

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Answer:

- 5i.

Step-by-step explanation:

( 1 + 2 i ) ( − 2 − 1 i )

= 1 * -2 + 1*-1i + 2i*-2 - 2i*1i

= -2 - i - 4i - 2i^2           i^2 = -1 so we have:

-2 - 5i +2

= 0 - 5i

= -5i.

Answer:

-2(x+2)(4x-35)

Step-by-step explanation:

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer: 35

Step-by-step explanation: formula; LxW divided by 2 7x10= 70 70 divided by 2 equals 35

Answer:

alòja máskelás 70 Mòk a sì ?!

Answer:

16

Step-by-step explanation:

22-6=16 ;0

Answer:

58.5° and 31.5°

Step-by-step explanation:

Complementary angles are two angles whose sum is 90 degrees. Let x be one of the complementary angles, then the other complementary angle can be represented as 90 - x.

The problem tells us that the difference between the two complementary angles is 27 degrees, so we can set up the following equation:

x - (90 - x) = 27

Simplifying and solving for x, we get:

x - 90 + x = 27

2x - 90 = 27

2x = 117

x = 58.5

So one of the complementary angles is 58.5 degrees, and the other complementary angle can be found by subtracting this value from 90:

90 - 58.5 = 31.5

Therefore, the measures of the angles are [58.5° and 31.5°.]

Answer:

C=20

Step-by-step explanation:

1. 25÷5=5

2. 5×4=20

I hope this helped☺

Answer:

Step-by-step explanation:

The amount of water needed is 72 liters.

Given that, the ratio of the alcohol and water in a mixture of 72 units is 2 ratio 1, we need to find the amount of water that must be added to the mixture in order to make this ratio 1 ratio 2,

So,

The quantity of water in it = 72 / 3 × 1 = 24

New ratio =

48 / 24+x = 1/2

96 = 24+x

x =72

Hence, the amount of water needed is 72 liters.

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Lamoooo

Step-by-step explanation:

Answer:

40% x $80.00 = $32.00

$32.00 x 7% = $2.24

Step-by-step explanation:

$2.24

Answer:

20

Step-by-step explanation:

if their ages total is 60 and gabrielle's is two times mikhail's age, that means that Mikhail would be twenty because their age times 2 would be 40 and 40 plus 20 is 60.

Answer:

A) g = 2m OR g -2m = 0

B) g + m = 60

Multiplying A) by -1

A) -g + 2m = 0 then adding this to B)

B) g + m = 60

3m = 60

Mikhail’s age = 20

Gabrielle's age = 40

Step-by-step explanation:

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In 1.9 sec the projectile first reach 20 feet in height.

A projectile is any object in motion through space that has been propelled by the application of an external force and is then allowed to move freely while being affected by gravity and air resistance. Although any objects in motion through space are projectiles, they are frequently seen in sports and warfare (for example, a thrown baseball, kicked football, fired bullet, shot arrow, or stone released from a catapult.)

To evaluate projectile trajectories during launch, flight, and impact, ballistics uses mathematical equations of motion.

Given,

y= -16t²+60t

Vertex (h, k) in this case is:

h= -b/2a

h= -60/(2(-16))

h= 60/32

h=1.875≈1.9

k=y(1.9)

k= -16(1.9)²+60(1.9)

k= -57.76+114

k=56.24≈56

Therefore, In 1.9 sec the projectile first reach 20 feet in height.

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Answer:

(X+2) and (x-5)

Step-by-step explanation:

Answer: -2

Step-by-step explanation: Because both the numbers are negative -2 would be greater.

Answer: C

Step-by-step explanation:

1. divide 3 by 2 to find out how many pounds of blueberries she picked each day. 3/2 is 1.5

2. multiply 1.5 by 16 to convert to ounces. 1.5x16 is 24.

3. she picked 24 ounces of blueberries each day.