Anthony has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 2. 5 points for each visit to the movie theater. He needs 100 points for a free movie ticket. Write and solve an equation which can be used to determine xx, the number of visits Anthony must make to earn a free movie ticket. Create an equation to solve for x

Answer:

look below

13,800

Answer:

Step-by-step explanation:

x^2+4x+4=x²+2x+2x+4

=x(x+2)+2(x+2)

=(x+2)(x+2)

=(x+2)²

side length=x+2 meters

big d jit

dic dic dic dic dic dic dic di cidic idc

Answer:

Average speed = 5.264 km/hr

Step-by-step explanation:

Distance to highschool = 3.29 km

Average speed = Distance covered ÷ time taken

Distance covered = distance to highschool and back = 3.29 + 3.29 = 6.58 km

time taken = 3:30 pm to 5:15 pm = 5:15 - 3:30 = 1 hr 15 mins

15 minutes = 15/60 hours = 0.25 hours

∴ time taken in hours = 1 + 0.25 = 1.25 hours

∴ Average speed = 6.58 ÷ 1.25 = 5.264 km/hr

The sum of the measures of angle A and angle B is 90 degrees. To determine the value of x, we need to set up an equation based on the given information.

Angle A is given as (5x + 10) degrees, and angle B is given as 3x degrees.

According to the problem, the sum of angle A and angle B is 90 degrees. We can write this as an equation:

(5x + 10) + 3x = 90

Combining like terms, we have:

8x + 10 = 90

Subtracting 10 from both sides:

8x = 80

Dividing both sides by 8:

x = 10

Therefore, the value of x is 10.

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Answer:

1/2 × |AB| × |OE|

Step-by-step explanation:

use the formula for finding the area of a triangle.

All veterinarians that responded to the questionnaire were included in the sample.

Complete Question : Veterinarians often use non-steroidal anti-inflammatory drugs to treat lameness in horses. A group of veterinary researchers wanted to find out how widespread the practice was in the United States. They obtained a list of all veterinarians treating large animals, including horses. They sent questionnaires to all the veterinarians on the list. Such a survey is called a census. The response rate was 40%. Which of the following statement is correct?

a. The sample consisted of all veterinarians on the list and therefore equaled the target population.

b. The sample consisted of all veterinarians who returned the questionnaire.

c. The sample consisted of all veterinarians who treat horses with NSAIDs.

d. None of the choices are correct.

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Answer:

\(x=-\frac{9}{4}\)

Step-by-step explanation:

Step 1:  Subtract 21 from both sides

\(8x + 21 = 3\)

\(8x + 21 - 21 = 3 - 21\)

\(8x = -18\)

Step 2:  Divide 8 from both sides

\(8x = -18\)

\(\frac{8x}{8}=-\frac{18}{8}\)

\(x=-\frac{9}{4}\)

Answer:  \(x=-\frac{9}{4}\)

Answer:

Cost of daylillies = $5

Cost of pot = $6

Step-by-step explanation:

Let

Cost of daylillies = x

Cost of pot = y

6x + 8y = 78 (1)

9x + 13y = 123 (2)

Multiply (1) by 9 and (2) by 6 to eliminate x

54x + 72y = 702 (3)

54x + 78y = 738 (4)

Subtract (3) from (4)

78y - 72y = 738 - 702

6y = 36

y = 36/6

y = 6

Substitute y = 6 into (1)

6x + 8y = 78 (1)

6x + 8(6) = 78

6x + 48 = 78

6x = 78 - 48

6x = 30

x = 30/6

x = 5

Cost of daylillies = $5

Cost of pot = $6

Answer:

10 more packs

Step-by-step explanation:

400 sweets bought 25 such packs = 400*25=10000

2000 each one gets 7 = 2000*7=14000

14000-10000=4000

4000/400 is 10.

So 10 more packs.

Hit the crown :D

Answer:

Step-by-step explanation:

400 sweets in a pack * 25 packs = 10,000 sweets

2000 kids * 7 sweets = 14,000

We need 4,000 more sweets. That would be 10 packs more  since there are 400 sweets in a pack.

Answer:

A) -0.6

B) 0.5

Step-by-step explanation:

slope=(2--1)÷(9-3)

The width and length of the rectangle is 27 cm and 36 cm. respectively.

To solve the problem, we can use the Pythagorean theorem since the diagonal, width, and length of the rectangle form a right triangle. The Pythagorean theorem states that:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse (diagonal of the rectangle).

Let's denote the width of the rectangle as w, the length as l, and the diagonal as d. According to the problem, we have:
d = w + 18
l = w + 9

Substituting these equations into the Pythagorean theorem, we get:
(w + 9)² + w² = (w + 18)²

Expanding and simplifying the equation, we get:
w² - 18w - 243 = 0

We can solve for w by factoring the expression:
(w - 27)(w + 9) = 0

w = 27 or w = -9

The positive solution for w is 27. We can use this value to find the length of the rectangle:
l = w + 9
l = 27 + 9
l = 36

Therefore, the width of the rectangle is 27 cm, and the length of the rectangle is 36 cm.

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Answer:

Given for big triangle:

Given for small triangle:

setting up proportionality:

\(\hookrightarrow \sf \dfrac{36}{3x+24} = \dfrac{27}{3x+9}\)

\(\hookrightarrow \sf 36(3x+9) = 27(3x+24)\)

\(\hookrightarrow \sf 108x+324 = 81x+648\)

\(\hookrightarrow \sf 108x-81x = 648-324\)

\(\hookrightarrow \sf 27x = 324\)

\(\hookrightarrow \sf x = 12\)

Perimeter of the triangle:

36 + 17 + 15 + 3x + 9

36 + 17 + 15 + 3(12) + 9

113 units

Answer:

x = 12

perimeter = 113 units

Step-by-step explanation:

Triangle Proportionality Theorem states that if a line parallel to one side of the triangle intersects the other two sides, then it divides the sides into proportional corresponding segments.

\(\implies 3x+9 : 15 = (36-9) : 9\)

\(\implies 3x+9 : 15 = 27 : 9\)

\(\implies \dfrac{3x+9}{15}= \dfrac{27}{9}\)

\(\implies 3x+9 = 45\)

\(\implies 3x = 36\)

\(\implies x = 12\)

Perimeter = \(3x+9 + 15 + 17 + 36\)

Substituting \(x = 12\):

⇒ perimeter = 3(12) + 9 + 15 + 17 + 36

                     = 113

Answer:

28cm

Step-by-step explanation:

7cm is each side, 4 sides so 7*4 which is 28cm.

Answer:

see below

Step-by-step explanation:

y = 2x+2

The line is in slope intercept form

y = mx+2  where m is the slope and b is the y intercept

The line intercepts the y axis is b or 2 ( 0,2)

The slope is m = 2

It means we go up 2 and over 1  (2/1)

Starting at (0,2)  , up 2 and to the right 1 is ( 1,4)

The next point would be (2,6)

Answer:

Case study

Step-by-step explanation:

Case study: Case study method is used to find more information through carefully analyzing existing cases. It is very often used for business research or to gather empirical evidence for investigation purpose.

Answer:

63 units

Step-by-step explanation:

d = √(x2-x1)^2 + (y2-y1)^2

Meaning it would look like this

d = √(15+48)^2 + (23-23)^2

we changed the subtraction sign in the first one to an addition sign because it was a double negative

hope this helped

6-4+2x=0

2+2x=0

-2(-1-x)=0

Step-by-step explanation:

not possible

The given families of curves are orthogonal trajectories of each other if every curve in one family is orthogonal to every curve in the other family. To determine if this is the case, we need to check if the tangent lines of the curves in one family are perpendicular to the tangent lines of the curves in the other family at each point of intersection.

Here's a step-by-step explanation to help you understand:

1. Start with the first family of curves. Take a curve from this family and find its tangent line at any given point of intersection with a curve from the second family.

2. Similarly, take a curve from the second family and find its tangent line at the same point of intersection with the curve from the first family.

3. If the tangent lines are perpendicular at every point of intersection, then the families of curves are orthogonal trajectories of each other.

4. Conversely, if the tangent lines are not perpendicular at any point of intersection, then the families of curves are not orthogonal trajectories of each other.

To summarize, for the given families of curves to be orthogonal trajectories of each other, the tangent lines of the curves in one family must be perpendicular to the tangent lines of the curves in the other family at every point of intersection.

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The surface area of the composite prism is 233.6 square cm

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

The composite prism

The formula for the surface area of the composite prism is calculated as

S = Surface area of cuboid + surface area of the top + surface area of the bottom - common areas

Using the area formulas, we have

S = 2 * (6 * 3 + 6 * 8) + 2 * (2 * 1/2 * 2 * 3 + 8 * 3.6 + 8 * 2)

Evaluate

S = 233.6

Hence, the surface area of the composite prism is 233.6 square cm

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Answer:

forty hundreths

Step-by-step explanation:

40/100 is equivalent to 4/10 and has a denominator of 100

(forty hundreths)

Reasoning? 40/100 is 10 times 4/10

Answer:

I know that a= 124 but I'm afraid I don't know how to solve b. I thought I'd put down half an answer anyway incase that helps.

Step-by-step explanation:

The exterior circle angles all have to add up to 360 degrees so all you have to do is subtract 100 and 136 from 360 and you get 124 for a.

Answer:

1. 6084

2. 9261

3. -1

4. 995/364

5. -1/625

Step-by-step explanation:

The probability that x is less than 14 is approximately 0.0122, rounded off to two decimal places.

The central limit theorem, which states that under certain conditions, the sum (or average) of a large number of independent and identically distributed random variables will be approximately normally distributed, regardless of the underlying distribution of the individual variables.

In this case, we used the central limit theorem to compute the distribution of the sum x₁+ x₂ + ... + x₇, which is a normal random variable with mean 7μ and variance 7σ².

Assuming that you meant to say that the distribution of x₁, ..., x₇ is N(μ, σ^2), where μ = 15 and σ = 7

Use the fact that the sum of independent normal random variables is also a normal random variable to compute the probability P(x < 14).

Let  Y = x₁+ x₂ + ... + x₇.

Then Y is a normal random variable with mean

μy = μ₁ + μ₂ + ... + μ₇ = 7μ = 7(15) = 105 and

variance \(\sigma^{2y}\) = σ²¹ + σ²² + ... + σ²⁷ = 7σ²= 7(7²) = 343.

Now we can standardize Y by subtracting its mean and dividing by its standard deviation, to obtain a standard normal random variable Z:

=> Z = (Y - μY) / σY

Substituting the values we have computed, we get:

Z = ( x₁+ x₂ + ... + x₇ - 105) / 343^(1/2)

To find P(x < 14), we need to find P(Z < z),

where z is the standardized value corresponding to x = 14.

We can compute z as follows:

z = (14 - 105) / 343^(1/2) = -2.236

Using a standard normal distribution table or a calculator,

we can find that P(Z < -2.236) = 0.0122 (rounded off to four decimal places).

Therefore,

The probability that x is less than 14 is approximately 0.0122, rounded off to two decimal places.

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Jhon will take 6 hours to compete the same work

Men and work :

             This question is based on the concept of men and work

given,

John and Jane together can clean the house in 2 hours 24 minutes

                               = 120 + 24

                               = 144 minutes

Let,

          Jane can complete the work alone in x minutes

then,

        Jhon will take (x+120) minutes to complete the same work alone

According to question,

                                    \(\frac{1}{x} +\frac{1}{x+120} = \frac{1}{144}\)

                                     \(\frac{x+120+x}{x(x+120)} =\frac{1}{144}\)

                               144(2x+120) = x(x+120)

                      288x + 17280= \(x^{2}\) + 120x

                         \(x^{2}\) - 168x -17280 = 0

                          (x + 72) (x-240) =0

                             x= -72 and x =240

x can not be negative, so x =240 minute =4 hours

 Jane can complete the work alone in 240minutes = 4 hours

Jhon will take (x+120) minutes to complete the same work

                    x+120

                = 240 + 120

               = 360 minutes = 6 hours

Hence,

           Jhon will take 6 hours to compete the same work

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Answer:

To find the product of 1/4 and 1/6, we need to first find a common denominator. In this case, we can use the least common multiple of 4 and 6, which is 12. We can then rewrite 1/4 and 1/6 as 6/12 and 2/12, respectively. The product of these two fractions is then 6/12 * 2/12 = (6 * 2)/(12 * 12) = 1/12. Therefore, 1/4 x 1/6 = 1/12.

Alternatively, we can simply cancel out common factors in the numerator and denominator of the two fractions before multiplying them. In this case, we can cancel out the common factor of 1 in the numerator and the common factor of 4 in the denominator to get 1/4 * 1/6 = 1/(4 * 6) = 1/24.

Both methods give us the same answer, so we can use either one to solve this problem.

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

We want to multiply fractions

1           1

---   *   ----

4            6

Multiply the numerators

1 * 1 = 1

Multiply the denominators

4 * 6 = 24

The result is

1           1             1

---   *   ----   =    -----

4            6          24

Answer:

I’m pretty sure x=6

Step-by-step explanation:

Answer:

Yes. It represents \(m = h + 1000\) (where h is hours of training and m is monthly pay).