Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes?

Answer:

6.75

Step-by-step explanation:

Multiple: 3 * 3/

5

= 3 · 3/

1 · 5

= 9/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(9, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - three multiplied by three fifths = nine fifths.

Multiple: the result of step No. 1 * 2 = 9/

5

* 2 = 9 · 2/

5 · 1

= 18/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - nine fifths multiplied by two = eighteen fifths.

Multiple: the result of step No. 2 * 3/

4

= 18/

5

* 3/

4

= 18 · 3/

5 · 4

= 54/

20

= 27 · 2/

10 · 2

= 27/

10

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(54, 20) = 2. In the next intermediate step , cancel by a common factor of 2 gives 27/

10

.

In words - eighteen fifths multiplied by three quarters = twenty-seven tenths.

Multiple: the result of step No. 3 * 3 = 27/

10

* 3 = 27 · 3/

10 · 1

= 81/

10

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 10) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-seven tenths multiplied by three = eighty-one tenths.

Multiple: the result of step No. 4 * 5/

6

= 81/

10

* 5/

6

= 81 · 5/

10 · 6

= 405/

60

= 27 · 15/

4 · 15

= 27/

4

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(405, 60) = 15. In the next intermediate step , cancel by a common factor of 15 gives 27/

4

.

In words - eighty-one tenths multiplied by five sixths = twenty-seven quarters.

Answer:

the amount that nearest to the paper cost with the discount but before tax is $12.83

Step-by-step explanation:

The computation of the amount that nearest to the paper cost with the discount but before tax is shown below:

= Cost of a photo paper - discount

= $13.50  - 5% of $13.50

= $13.50 - $0.675

= $12.83

Hence, the amount that nearest to the paper cost with the discount but before tax is $12.83

Answer:

35.2 ft

Step-by-step explanation:

Multiply the scale factor and the height.

answer:

26.563 miles.

step-by-step explanation:

5.123 + 6.34 + 7.1 + 8 = 26.563

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Answer:

A

Step-by-step explanation:

The area of a square is given as the side² thus the side length of the given square will be around 15 inches thus option (B) will be correct.

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Length of diagonal of square = √(2) × side

It is known that,

Area of square = Side²

Given, the area is 219 square inches.

Side² = 219

Side = √219 = 14.79 ≈ 15 in.

Hence "The area of a square is given as the side² thus the side length of the given square will be around 15 inches".

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Answer:

c^2( c+1)

Step-by-step explanation:

c^3+ c^2​

The greatest common factor is c^2

c^2( c+1)

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

Using the Poisson distribution, it is found that:

a) The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.

b) 0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

In this problem, the mean is of [tex]\mu = 5[/tex].

Item a:

The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.

Item b:

This probability is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-5}(5)^{0}}{(0)!} = 0.0067[/tex]

[tex]P(X = 1) = \frac{e^{-5}(5)^{1}}{(1)!} = 0.0337[/tex]

[tex]P(X = 2) = \frac{e^{-5}(5)^{2}}{(2)!} = 0.0842[/tex]

[tex]P(X = 3) = \frac{e^{-5}(5)^{3}}{(3)!} = 0.1404[/tex]

Then:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0067 + 0.0337 + 0.0842 + 0.1404 = 0.265[/tex]

0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.

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Answer:

Step-by-step explanation:

f(7) = 32

f(-9) = 32

f(s) = 32

f(s-t) = 32

g(7) = 10·7+4 = 74

g(-9)  = 10(-9)+4 = -86

Answer:

yes

Step-by-step explanation:

negative numbers work backwards, in this case 8 is smaller then 5 as its farther in the numberline (if you were to draw one)

Answer:

Yes

Step-by-step explanation:

-5 is greater than -8 because -5 is closer to zero. You need to add 5 to get to 0 with -5, but 8 to get to 0 with -8.

Answer:

The required function is:

Please check the attached graph.

Step-by-step explanation:

We need to write a function to match the function machine  multiply the input by -3, then  subtract 2.

Let 'x' be the input.

Therefore, multiply the input by -3, then  subtracting 2 would give us the result:

f(x) = 3x - 2

Therefore, the required function is:

Please check the attached graph.

Answer:

7 = 49.....

Step-by-step explanation:

7 * 7. = 49

ok....

thanks

Answer: -26.60

Step-by-step explanation:

Heres -30 degrees as faherenheit

Answer:

-22

Step-by-step explanation:

−30 =  

5

9

(x − 32)  

Solve the equation.

9

5

(−30) =  

9

5

(  

5

9

(x − 32)) Multiply both sides by  

9

5

.

−54 = x − 32  

+32  + 32 Add 32 to both sides.

−22 = x  

The temperature is −22 degrees Fahrenheit.

Answer:

Answer:

C. 0.045

Step-by-step explanation:

Answer: 9x+6y ≤10  

Step-by-step explanation:

Let x= number of packs of hot dogs .

y =number of packs of hamburger.

Total expenditure = (Charge per hot dog) (number of packs of hot dogs ) +(Charge per hamburger) (number of packs of hamburger.)

i.e. Total expenditure =9x+6y  ( in $)

Jerry can spend a maximum of $100 on the food.

So, Total expenditure ≤ $100

i.e. 9x+6y ≤10  [Required inequality]

The inequality that represents this situation:9x+6y ≤10  

Answer:

X = 4/13

Y = - 5/13

Step-by-step explanation:

Since all of the equalities are true, the ordered pair is the solution of the system

Answer: the awnser is 33 3/4

Step-by-step explanation: im literally doing the same test

The area of a parallelogram can be found by finding the product of its height and base. The area of  the resulting figure is 105/4 sq. ft.

A parallelogram can be defined as a quadrilateral which has equal and parallel opposite sides. The sum of the adjacent angles of a parallelogram is equal to 180° and its opposite angles are equal.

Each side of the square is given 4 1/2 ft,

And the height of each parallelogram 1 1/2 ft.

Now, the area of square is (side)^2 and the area of parallelogram is height × base.

Thus, area of given figure is given as,

Area = (4 1/2)^2 + 2×(4 1/2)×( 1 1/2)

        = 105/4 sq. ft.

Hence, the area of the given figure is 105/4 sq. ft.

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Answer:

1.1r,-1r

2.-2x,5x

Step-by-step explanation:

i tgink tgis is what the answer os unless i am a doing the math wrong. so i hope im right and tgis helps

Answer:

Baka renejay to HAHAHHA

Answer:

m(slope)=2

b(y-intercept)=5

Step-by-step explanation:

Answer:

2x represents the slope and 5 represents the y intercept.

Answer:

a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:

28 + 49 + 77 = 154

= 7*4 + 7*7 + 7*11

= 7 (4 + 7 + 11)

= 7 (22)

= 154

Step-by-step explanation:

a) Data and Calculations:

Number of stamps that Mia has = 28

Number of stamps that Alex has = 49

Number of stamps that Michael has = 77

GCF = 7

b) GCF = Greatest common factor.  The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products.  The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.

Answer:

5.7 meters

Step-by-step explanation:

Since the duct tape is to be placed along the diagonal of the square window, Considering the shape formed by one diagonal and two sides of the window. This shape is a right angle triangle.

The diagonal represents the hypotenuse while the sides are the opposite and adjacent. Using Pythagoras theorem, let the length of the diagonal be h

h^2 = 2^2 + 2^2

= 4 + 4

= 8

Taking the root of both sides

h = √8

= 2.828 meters

considering that the duct tape is needed for 2 diagonals, the total length required

= 2.828 * 2

= 5.656

To the nearest tenth of a meter, this becomes

= 5.7 meters

Step-by-step explanation

Answer:

Step-by-step explanation:

(n+7)×3

Answer:

Step-by-step explanation:

The sum of n and 7 multiplied by 3:

It is option 1

This is a tricky one but when reading carefully we see there is nothing that adds n to 7 before multiplying by 3, therefore it reads as n plus ( 7 multiplied by 3).

Answer:5y-25

Step-by-step explanation:

Answer:

5y - 25

Step-by-step explanation:

that expression shown 25 less than 5y

hope this helps...