*** 80 POINTS**Ava has $300 on a gift card. She bought a laptop for $215 and decided to spend the rest on shirts. The unit price of shirts that are on sale is $15.

Part A:

Enter an inequality which represents the maximum number of shirts, s, Ava can buy.

Answer: The square root of 15 is a rational number

explanation: if 15 is a perfect square. ... Since 15 is not a perfect square, it is an irrational number. This means that the answer to the square root of 15 will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

Answer:

Well, 3+-6 =-3 and -3*2=-6

Answer: twice of -18 is -36 divide by -6 = -6

The preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft is approximately $700 million.

To estimate the cost of building a 600-MW fossil-fuel plant, we can use the cost capacity exponent factor and the cost index.

First, let's calculate the cost capacity ratio (CCR) for the 600-MW plant compared to the 200-MW plant:

CCR = (600/200)^0.79

Next, we need to adjust the cost of the 200-MW plant for inflation using the cost index. The cost index ratio (CIR) is given by:

CIR = (current cost index / base cost index)

Using the given information, the base cost index is 400 and the current cost index is 1200. Therefore:

CIR = 1200 / 400 = 3

Now, we can estimate the cost of the 600-MW plant:

Cost of 600-MW plant = Cost of 200-MW plant * CCR * CIR

Using the information provided, the cost of the 200-MW plant is $100 million. Plugging in the values, we have:

Cost of 600-MW plant = $100 million * CCR * CIR

Calculating CCR:

CCR = (600/200)^0.79 ≈ 2.3367

Calculating the cost of the 600-MW plant:

Cost of 600-MW plant = $100 million * 2.3367 * 3

Cost of 600-MW plant ≈ $700 million

Your question is incomplete but most probably your full question was

Suppose that an aircraft manufacturer desires to make a preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of its new long- distance aircraft. It is known that a 200-MW plant cost $100 million 20 years ago when the approximate cost index was 400, and that cost index is now 1,200. The cost capacity exponent factor for a fossil-fuel power plant is 0.79. What is he preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft?

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Answer:

67

Step-by-step explanation:

500 − 3x = 299

3x = 201

x = 67

Answer:

I already said b in the comment area so I'm just putting it here now

Step-by-step explanation:

(B) The value of the correlation coefficient will move closer to 0.

Therefore, the correct option is (B) The value of the correlation coefficient will move closer to 0.

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Answer:

3 and -3

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer: 310

Step-by-step explanation:

1.Find your constant difference of the sequence by subtracting from left to right which is 9

2. find your fomula by using Tn=bn+C (b is your constant difference you can find C by C=T1 -b ) which will then give us 9n-5

3. T(35)=9n-5=9(35)-5=310

Answer: use the algebric condistional process

Step-by-step explanation: this is sample only

The total amount that would be found in the account after 4 years, would be $ 641. 69

The total amount after 4 years in Arik's account can be found by the formula :

= A = Amount invested x ( 1 + r /n )ⁿ

The variables are:

Amount invested = $ 500

r = 6.25% = 0. 0625

n = 12

t = 4 years

The total amount is then :

A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾

A = $ 641. 69

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Answer:

4 1/4

Step-by-step explanation:

The vehicle travels 110 feet distance in 1 second duration.

mph expresses the speed or velocity in miles per hour. Speed means rate of change of distance with respect to time.

speed = distance/time

hence, distance = speed x time

the above equation is the relationship between distance, speed and time

we will use the above equation and convert miles to feet and second to hour.

given, speed of vehicle = 75 mph

time = 1 second =1/3600 hour as 1 hour = 3600 second

distance travel by vehicle = speed x time

                                            = 75 mph x 1/3600 hour

                              distance              = 0.020833333 miles

               we know, 1 mile =5280 feet

  distance in feet = 110 feet

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Answer:

2x+4

Step-by-step explanation:

twice the value of x (2x)

increased by 4 (+4)

2x+4

Answer:

X=0

Step-by-step explanation:

1.Remove the parentheses

3x + 5 = 2x + 2 -(x-3)  ->  3x+5=2x+2-x+3

2.Combine like terms

3x+5=2x+2-x+3 -> 3x+5=x+5

3.Cancel Equal Terms

3x+5=x+5 -> (subtract 5 from both sides)  3x=x

(subtract x from both sides) 3x=x ->  3x-x=0

4.Combine like terms

3x-x=0  ->  2x=0

5.Get rid 2 so divide both sides by 2

2x= 0 -> \(\frac{2x}{2}\)=\(\frac{0}{2}\)  ->

x=0

Answer:  x is 6

Step-by-step explanation:

The probability of rolling a 6 on a 6-sided cube is 1/6

In the experiment the frequencies of all the numbers added up to 30

The frequency of the number 3 turned out to be 5. 5 out of 30 is also 1/6. (Nice coincidence.)

Answer:

its d

Step-by-step explanation:

Answer: The height of the triangle DEF is 3.3

Step-by-step explanation:

To start off, Triangle ABC is similar to DEF.

This means that these triangles will share the same angles, so their sides will correspond. The only thing different about these triangles, is their side's ratio in size.

With this in mind, using proportions will help solve this problem.

You can set up a proportion for this problem like this:

\(\frac{3}{2} =\frac{5}{x}\)

where 3 is side AC, 2 is height BC, 5 is side DF, and x is the unknown height.

We need to solve for x, and by cross multiplying you will get,

3x = 10

now divide both sides by 3

\(x=\frac{10}{3}\)

and then simplify to decimals rounded to the nearest tenth the answer would be 3.3.

So, the height of the triangle DEF is 3.3

Marisa can expect to make a profit with her company as per the given information. The profit she earns from the 49 pairs will cover the cost of repairing the one pair that needs repair.

Based on the profit analysis, Marisa can expect to make a profit with her company. The calculation and expiation are provided as follows:
Profit Calculation:

Marisa wants to make a profit of $5.00 on each pair of earrings. This means that for every pair sold, she will earn $5.00.
Cost of Repair:

Marisa has improved the quality control, resulting in only 1 pair in 50 need to be returned for repair. The cost of repairing each pair is $60.
Profit Analysis:

Let's analyze the profit situation.
  - For every 50 pairs sold, one pair will need repair, costing Marisa $60.
  - However, for the remaining 49 pairs, she will earn $5.00 profit on each, totaling $245.00 ($5.00 x 49).
  - So, the total profit from the 49 pairs will offset the cost of the one pair that needs repair.
Based on the profit analysis, Marisa can expect to make a profit with her company. The profit she earns from the 49 pairs will cover the cost of repairing the one pair that needs repair. Therefore, her company can be considered profitable.

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The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

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If a time capsule has been buried 98m away from the cave at a bearing of 312. the time capsule is buried about 82.2 meters west of the cave.

To find how far west the time capsule is buried, we need to find the horizontal component of the displacement vector that points from the cave to the location of the time capsule. We can use trigonometry to do this:

cos(312°) = adjacent/hypotenuse

The hypotenuse is the distance between the cave and the time capsule, which is 98m. The adjacent side represents the horizontal distance between the two points, which is what we want to find. Rearranging the equation, we get:

adjacent = cos(312°) x hypotenuse

adjacent = cos(312°) x 98

adjacent ≈ 82.2

Therefore, the time capsule is buried about 82.2 meters west of the cave.

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Answer:

The data is skewed to the bottom and contains an outlier.  

Step-by-step explanation:

1. Test for outlier

An outlier is a point that is more than 1.5IQR below Q1 or above Q3.  

IQR = Q3 - Q1 = 74 - 51 = 23

1.5 IQR  = 1.5 × 23 = 34.5

51 - 15 = 36 > 1.5IQR

The point at 15 is an outlier.

2. Test for normal distribution

The median is not in the middle of the box.  

Rather, it cuts the box into two unequal parts, so the data does not have a normal distribution.

3. Test for skewness

The longer part is to the left of the median, so the data is skewed left.

Answer:

t = 4

Step-by-step explanation:

you have -8 and twelve you equation is x -12 = -8 so we just have to flip the equation around to make it x = 12 -8 which is easy . You just have to make sure you don't get mixed up while flipping the signs.

The value of t is 4.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The temperature in January = 12 °F

And the low temperature is = -8 °F

The equation of temperature t can be given as

t= high temperature + low temperature

t= 12 - 8

t=4

The value of t is 4.

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Given info:There is a favourite sport and number of people watching and participating in the colony is given.

Draw the double bar graph for the data ?

Explanation:

See the attachment

Number of people watching cricket = 1240

Number of people participating cricket =620

Number of people watching Basket ball =470

Number of people participating Baskets ball=320

Number of people watching Swimming =510

Number of people participating Swimming= 320

Number of people watching Hockey=430

Number of people participating Hockey =250

Number of people watching Athletics =250

Number of people participating Athletics =105

Scale:-

On X - axis taking favourite sport

On Y-axis taking Number of people in the colony

First bar represents Watching

Second bar represents Participating

On Y-axis 1 cm = 100 units

(i)

⇛The number of people who are watching and participating in their favourite sport.

(ii)

⇛Cricket is the most popular of all other sports .

⇛It has the most watching people and the more participants

(iii)

⇛Watching is more preferred than Participating according to the given data of the colony.

Bar graph:-

⟨Hope this helps.⟩

Answer:

58.06%

Step-by-step explanation

TRUST ME

The materials price variance for January can be calculated using the following formula: Materials Price Variance = (Actual Quantity Purchased x Standard Price) - (Actual Quantity Purchased x Actual Price).

In this case, the actual quantity purchased is 29,300 grams and the actual price is $8.00 per gram. The standard price is given as $7.90 per gram. Plugging these values into the formula, we get: Materials Price Variance = (29,300 grams x $7.90 per gram) - (29,300 grams x $8.00 per gram).

To calculate the specific value of the variance, you would need to subtract the product of the actual quantity purchased and actual price from the product of the actual quantity purchased and standard price. The resulting value will determine whether the materials price variance is favorable or unfavorable, indicating whether the actual price paid for the material was higher or lower than the standard price set by the company.

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Answer:

7)

to work it out:

180-110= 70

because there are two unknown angle we're gonna assume they're both the same amount. So if they are both the same and equal then we need to half 70 which will be equal to the two sided. So. 70/2= 35

So the 2 x's = 35 each

8)

you need to put this all into an equation so:

7x-11 + 5x-2 + 2x-3 = 180 degrees

12x - 9 + 2x-3

10x + 6

Actual answer:

14x-16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Certainly we can estimate y = tan x from the graph of this function, for any x at which the function is defined.   Don't expect exact values, however.

Answer:

6 x 3 = 18

x = 18

6 x 10 = 60

30 x 18 = 540

60/10

540/18

Step-by-step explanation:

Answer:

The number 1 and 47

or 13 and 59

Answer:

16 and 62

Step-by-step explanation:

Two variables x and y. x < y.

y - x = 46

y = 46 + x

4x = y + 2

y = 46 + x in 4x = y + 2

4x + y = x + y + 46 + 2

4x + y - y = x + y - y + 46 + 2

4x = x + 48

4x - x = x - x + 48

3x = 48

3x ÷ 3 = 48 ÷ 3

x = 16

y = x + 46

y = 16 + 46

y = 62