Merlyn had 22 magic tricks to perform. He had completed 4/5 of them when the fire alarm sounded. How many magic tricks had he performed?

Answer:

1. y=6

2. x=-2

3. t=-6

Step-by-step explanation:

1.

[tex]4y-9=15\\4y-9+9=15+9\\4y=24\\\frac{4y}{4}=\frac{24}{4}\\y=6[/tex]

2.

[tex]6x+7=-5\\6x+7-7=-5-7\\6x=-12\\\frac{6x}{6}=\frac{-12}{6}\\x=-2[/tex]

3.

[tex]-9t+2=56\\-9t+2-2=56-2\\-9t=54\\\frac{-9t}{-9}=\frac{54}{-9}\\t=-6[/tex]

Answer:

Simple Linear Regression Correlation

Step-by-step explanation:

When it snows normally the schools continue .But constant snowing affects the schools continuity. As more and more snow falls more schools are closed.

There may be a situation where all the schools are closed at a certain temperature.

So it is a simple linear regression correlation because in it there are two variables and one variable is dependent on the other. In this example the schools are dependent on the average snowfall.

If there's a snow blizzard or extreme weather all the schools are definitely closed .

It can be represented by a graph.

Answer:

because 1 is the smallest factor of a multiple and greatest factor of a multiple is the multiple itself

Step-by-step explanation:

hope that help and u can understand it :\

Answer:

4 months

Step-by-step explanation:

Club A

registration fee: $0

monthly fee: $105

After every month, the total cost increases by $105.

month 0: $0

month 1: $105

month 2: $210

month 3: $315

month 4: $420

month 5: $525

month 6: $630

Club B

registration fee: $375

monthly fee: $80

Notice how Club B's total reaches Club A's total after 2 months.

month 0: $375

month 1: $455

month 2: $535

month 3: $615

month 4: $695

Answer:

about 15 billion

Step-by-step explanation:

The factor that influences a consumer when deciding to buy a product is D. External factor.

A consumer is a person or group who intends to order or uses purchased goods, products, or services primarily for personal, social, family, or household needs and is not directly involved in entrepreneurial or business activities.

Consumers consider a variety of factors, including the product's characteristics, the price charged, the product's availability at the required location, and much more. Personal factors include the consumer's age, occupation, lifestyle, social and economic status, and gender.

External factors such as the market economy, culture, social values, fashion, and corporate policies for consumers all have a large impact on consumer perceptions, attitudes, and behavior.

External factors may include family and friend expectations, cultural or gender stereotypes, and family responsibilities. These factors can have an impact on decision-making, either positively or negatively.

Therefore, based on the information illustrated, the correct option is D.

Learn more about consumers on:

https://brainly.com/question/380037

#SPJ1

Answer:

-23

Step-by-step explanation:

[tex](1+i)^2-3(2-i)^3=1+2i-1-3(8-12i-6+i)=2i-6+33i=\boxed{-6+35i}[/tex].

Hope this helps.

Step-by-step explanation:

[tex] {( - 2x {y}^{4} })^{4} [/tex]

[tex] = {( - 2)}^{4} \times {x}^{4} \times { {y}^{4} }^{4} [/tex]

[tex] = 16 {x}^{4} {y}^{16} [/tex]

Answer:

15x3-25x

Step-by-step explanation:

5x(3x2 -5)

step1: distribute 5x to both sides

Step 2: 3x2 would change into 15x3 (because you're multiplying by 5x)

Step3: -5 would turn into -25x (because you are multiplying by 5x also)

Step4: put both answers together and your end product would be (15x3 - 25x)

Answer:

15x3-25x

Step-by-step explanation:

Answer:

P ([tex]\hat p[/tex] ≤ 0.10)

Step-by-step explanation:

The probability in terms of statistics for this given problem can be written as follows.

Let consider X to the random variable that represents the number of 6's in 7 throws of a dice, then:

X [tex]\sim[/tex]Bin ( n = 72, p = 0.167)

E(X) = np

E(X) = 72× 0.167

E(X) = 12.024

E(X) [tex]\simeq[/tex]  12

p+q =1

q = 1 - p

q = 1 - 0.167

q = 0.833

V(X) = npq

V(X) = 72 × 0.167 × 0.833

V(X) = 10.02

V(X) [tex]\simeq[/tex] 10

∴ X [tex]\sim[/tex] N ([tex]\mu = 12, \sigma^2 =10[/tex])

⇒ [tex]\hat p = \dfrac{X}{n} \sim N ( p, \dfrac{pq}{n})[/tex]

where p = 0.167 and [tex]\dfrac{pq}{n}[/tex] = [tex]\dfrac{0.167 \times 0.833}{72}[/tex] = 0.00193

∴ P(at most 10% of rolls are 6's)

i.e

P ([tex]\hat p[/tex] ≤ 0.10)

Answer:

First recipe needs = 3/8

Second recipe needs = 5/8

Step-by-step explanation:

Given:

Two recipes needs butter = 1 pound

One recipe needs 1/4 pound more

Find:

Each recipe needs butter

Computation:

Assume;

First recipe needs = x

Second recipe needs = x + (1/4)

Two recipes needs butter = First recipe needs + Second recipe needs

x + x + (1/4) = 1

2 x = 1 - (1/4)

2 x = 3/4

x = 3/8 pound

First recipe needs = 3/8

Second recipe needs = x + (1/4) = (3/8) + (1/4) = 5/8

Second recipe needs = 5/8

Answer:

3/20

Step-by-step explanation:

3/5 ÷ 4

Copy dot flip

3/5 * 1/4

3/20

Answer:

C) 3.03

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 50

The Mean of the population (μ) = 62

The standard deviation of the Population (σ) = 7

Mean of the sample(x⁻) = 65

Z-score

                 [tex]Z= \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

Step(ii):-

               [tex]Z= \frac{65 -62}{\frac{7}{\sqrt{50} } }[/tex]

              Z =  3.03

Final answer:-

The Z-score = 3.03

Answer:

Step-by-step explanation:

Since the square canvas was completely covered using 77.8 in.² of fabric without any overlap, to get the side length of the canvas, we will use the formula for calculating the area of a square.

Area of a square = Length * Length

A = L*L

A = L²

Given the Area of the area of the square canvas as 77.8 in², on substituting this values into the formula to get L we have;

77.8 = L²

Take the square root of both sides

√77.8 = √L²

L = √77.8

L = 8.82 in

L ≈ 9inches

The length 8.82in gotten was approximated to 9in because the first value after the decimal point is greater that 4 and once we have such case 1 will be added to the value before the decimal point i.e 8 to make it 9.

Hence measurement that is closest to the side length of this canvas in inches is 9inches.

Answer:

3x+10+y

Step-by-step explanation:

5x-y-3x+10+x+2y

5x-3x+x+10-y+2y

3x+10+y

Answer:

3x+y+10

Step-by-step explanation:

Since we are trying to combine like terms, we must rearrange the terms, and  group the terms with an x, together, a y together, and the constants. Doing that, we get

(5x+x-3x)+(2y-y)+10

Now we start with the x terms, and we add 5x+x=6x and then 6x-3x= 3x, so you have 3x, and now for the y terms

we have 2y-y=y and lastly we have a ten, so adding them together, we get

3x+y+10

Answer:

[tex]\Large \boxed{\mathrm{\bold{B.} } \ x=7, \ y = 4\sqrt{2} }[/tex]

Step-by-step explanation:

We can split the shape into a right triangle and a rectangle.

tan θ = opp/adj

Let c be the missing base for the right triangle.

tan45 = 4/c

c = 4/tan45

c = 4

x = 3 + 4

x = 7

sin θ = opp/hyp

sin45 = 4/y

y = 4/sin45

y = [tex]4\sqrt{2}[/tex]

Answers:

Distance = 14 km

Displacement = 4 km east

==============================================

Explanation:

The total distance is simply the sum of the values given. So he traveled a total of 5+4+5 = 9+5 = 14 km overall.

----------------------

The displacement is where a drawing may come in handy. Draw an xy axis. Place point A at the origin (0,0). This is where Michael starts his trip. Then move up to (0,5) to indicate he goes 5 km north. Call this point B.

Afterward, mark point C at (4,5) to show he has gone 4 km east. Finally, point D is at (4,0) because he went 5 km south

The displacement is only concerned with two points: The start and end point. Nothing else matters. We started at A(0,0) and ended at D(4,0). So we've gone 4 km east overall. The direction is important when it comes to displacement. Simply saying "4 km" isn't enough. So in a sense, we could take a shortcut from A directly to D, bypassing the other points B and C.

See the diagram below for a visual.

Answer:

term=14x+19

cofficient=14+19

constant=19

Answer:

Terms :

14x , 19

Coefficients:

14

Constants:

19

Hope it helps.

Answer:

See step by step

Step-by-step explanation:

Answer:

a - 1/2

Step-by-step explanation:

there are 3 even and 3 odd numbers so the probability is half of them

Answer:

0x²-7xy+10y²

Step-by-step explanation:

4x²-5xy+3y² + 8x²+7xy-6y²

4x²+8x²-5xy+7xy+3y²-6y²

=12x²+2xy-3y²

12x²-5xy+3y² + -2x²-9xy+13y²

12x²-5xy+3y² - 2x²-9xy+13y²

12x²-2x²-5xy-9xy+3y²+13y²

= 10x²-7xy+10y²

Hoped I helped

Answer:

add the expressions 832

Answer:

x =-1

Step-by-step explanation:

[tex]-2(bx - 5) = 16\\b = 3\\x = ?\\-2(3x -5)=16\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(3x-5\right)}{-2}=\frac{16}{-2}\\\\Simplify\\3x-5=-8\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\3x-5+5=-8+5\\\\Simplify\\3x=-3\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{-3}{3}\\\\Simplify\\x =-1[/tex]

Answer:

What is the cost of a chicken shawarma wrap?

$10.99

What is the cost of one order of spiced potatoes?

$4.99

If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

3x + 2y = $42.95..........Eq 1

5x + 4y = $74.91..........Eq 2

Step-by-step explanation:

Cost of a chicken sharwarma wrap = a

Cost of an order of spiced potatoes = b

Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.

3x + 2y = $42.95 .............Equation 1

Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.

5x + 4y = $74.91 ................Equation 2

So we have:

3x + 2y = $42.95..........Eq 1

5x + 4y = $74.91..........Eq 2

We use Elimination method

Multiply Equation 1 by coefficient of y in Equation 2

Equation 2 by coefficient of y in Equation 1

3x + 2t= $42.95 .............Equation 1 × 4

5x + 4y = $74.91 ................Equation 2 × 2

12x + 8y = 171.80..............Equation 3

10x + 8y = 149.82..............Equation 4

Subtract Equation 3 from Equation 4

2x = 21.98

x = 21.98/2

x = 10.99

Therefore, x = Cost of Chicken sharwarma wrap = $10.99

Subtitute 10.99 for 9in Equation 1

3x + 2y = $42.95 .............Equation 1

3(10.99) + 2y = 42.95

32.97 + 2y = 42.95

2y = 42.95 - 32.97

2y = 9.98

y = 9.98/2

y = 4.99

y = Cost of an order of spiced potatoes = $4.99

Hence,

The cost of a chicken sharwarma wrap = $10.99

The cost of an order of spiced potatoes = $4.99

Answer:

0.36

Step-by-step explanation:

We need to solve the first bracket first and then the others,

    Value of  Cos^ - 1(1/3) =70.53°

        Then,  90 - the value of cosine

             =19.47°

Then, put the new in the calculator:

     Tan (19.47°)

and the answer comes 0.3535294237

 then I use the nearest formula and got the answer = 0.36

Answer:

Option 1, 3 and 5 are correct

Step-by-step explanation:

Given

Eggplants = $1.79 each

Apples = $0.59 each,

Bags of spinach = $2.55 each

Cartons of orange juice = $3.89 each

Required

Select three true statements

To do this, we'll check the options one after the other

1. 4 eggplants cost about $0.50 less than 3 bags  of spinach

First, we need to calculate the cost of 4 eggplants

4 Eggplants = 4 * 1 Eggplants

4 Eggplants = 4 * $1.79

4 Eggplants = $7.16

Next, we calculate the cost of 3 bags of Spinach

3 bags of Spinach = 3 * 1 bag of Spinach

3 bags of Spinach = 3 * $2.55

3 bags of Spinach = $7.65

Determine the difference

Difference = |Eggplants - Bags of Spinach|

Difference = |$7.16 - $7.65|

Difference = |-$0.49|

Difference = $0.49

This statement is true because $0.49 approximates to $0.50

2. Total cost of 4 apples and 2 eggplants $0.50 is more than $6.00

First, we need to calculate the cost of 4 apples

4 Apples = 4 * 1 Apples

4 Apples = 4 * $0.59

4 Apples = $2.36

Next, we calculate the cost of 2 Eggplants

2 Eggplants = 2 * 1 Eggplant

2 Eggplants = 2 * $1.79

2 Eggplants = $3.58

Add this two results together

Total = 4 Apples + 2 Eggplants

Total = $2.36 + $3.58

Total = $5.94

This statement is false because the sum is less than $6.00

3. Total cost of 4 eggplants, 4 apples and 1 carton of orange juice is $13.41

In (1) & (2) above

4 Eggplants = $7.16

4 Apples = $2.36

1 carton of orange juice = $3.89

Add the above together

Total = $7.16 + $2.36 + $3.89

Total = $13.41

This statement is true because the sum is $13.41

4. Total cost of 5 eggplants is greater than cost of 4 bags of spinach

First, we need to calculate the cost of 5 eggplants

5 Eggplants = 5 * 1 Eggplants

5 Eggplants = 5 * $1.79

5 Eggplants = $8.95

Next, we calculate the cost of 4 bags of Spinach

4 bags of Spinach = 4 * 1 bag of Spinach

4 bags of Spinach = 4 * $2.55

4 bags of Spinach = $10.20

This statement is false because 4 Eggplants costs less than $ bags of spinach

5. Total cost of 2 eggplants, 2 apples and 2 cartons of orange juice is $9.99 more than cost of 1 bag of spinach

From (2) above

2 Eggplants = $3.58

Next, we need to calculate the cost of 2 apples

2 Apples = 2 * 1 Apples

2 Apples = 2 * $0.59

2 Apples = $1.18

Next, we need to calculate the cost of 2 cartons of orange juice

2 Cartons = 2 * 1 Carton

2 Apples = 2 * $3.89

2 Apples = $7.78

Sum these up

Total = $3.58 + $1.18 + $7.78

Total = $12.54

1 Bag of spinach = $2.55 each

Subtract 1 Bag of spinach from the $12.54

Difference = $12.54 - $2.55

Difference = $9.99

This statement is true because the difference is $9.99

Answer:

[tex]d=\sqrt{26}\approx5.0990[/tex]

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula.

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:

[tex]d=\sqrt{(7-2)^2+(7-8)^2}[/tex]

Simplify:

[tex]d=\sqrt{5^2+(-1)^2}[/tex]

Square:

[tex]d=\sqrt{25+1}[/tex]

Add:

[tex]d=\sqrt{26}\approx5.0990[/tex]

And that's our answer :)