use the distributive property to write equivpressions by filling in the blanks .

5(k+2) = (5+ __ ) + (5 ___ )

= __ + ___​

Answer:

0.54 or 54%

Step-by-step explanation:

P( 1st but not second) = P(1st) - P(1st and Second) = 0.4 - 0.28 = 0.12 = 12%

P( 2nd but not first) = P(2nd) - P(1st and Second) = 0.7 - 0.28 = 0.42 = 42%

Probability of 1 of them (exactly one) = P( 1st but not second) + P( 2nd but not first) = 0.12 (12%) + 0.42 (42%) = 0.54 or also 54%.

Hope this helps!

Answer:

197 adult tickets and 354 child tickets were sold for the event.

Step-by-step explanation:

Given that the Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12 years old for its performances, and on a recent weekend evening when 551 people paid admission, the total receipts were $ 9290, to determine how many who paid were children under 12 years old the following calculation must be performed:

22 - 14 = 8

551 x 14 = 7.714

9,290 - 7,714 = 1,576

1,576 / 8 = 197

551 - 197 = 354

197 x 22 + 354 x 14 = X

4.334 + 4.956 = X

Therefore, 197 adult tickets and 354 child tickets were sold for the event.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

12. The first attachment has the rate of change on each interval. (It is listed at the end of the interval.) It is computed by dividing the difference in length by the corresponding difference in months. The units of rate of change are inches per month.

The baby was growing fastest in the first 3 months.

__

13. The first attachment has the rate of change on each interval. It is computed by dividing the difference in height by the corresponding difference in seconds. The units of rate of change are meters per second. A negative number indicates the elevator is going down.

The second attachment shows a graph of the distance versus time.

_____

I find it convenient to let a spreadsheet do repetitive calculations. I can enter the formula once and copy it where needed. I don't have to worry about the accuracy of the arithmetic, and the result can be formatted to suit the problem requirements. (The basics of most spreadsheet programs can be learned in a few minutes.)

Answer:

(y+1/2  ; y)

Step-by-step explanation:

hello :  all  ordered pair is a solution of the linear equation x=y+1/2;(-5,-2) is :

(y+1/2  ; y)

(-5 ; -2) is not  solution because y = -2  but  -2+1/2 = -3/2 no -5

Answer:

If given enough information yes

Step-by-step explanation:

If you were given the weight and the distibution of the weight and the elasticity of the cup, as well as the trajectory of the cup and the force it was thrown at, and the proportions of the cup, its shape, where it's landing, etc. You could give a definitive probability. For example, If there is more weight at the bottom of the cup it might be less probable to land on it's side

Answer:

10 and 12

Step-by-step explanation:

the LCM of 10 and 12 is 60

10 and 12 have 2 as the least common factor between them

Answer: SA≈27.1.

The formula is SA=2πrh+2πr2.

The radius is 0.75 since 1.5 divided by 2=0.75.

Plug it in.

Answer:

a)ab and yz, ac and xy, bc and xz

b)yz  =   xy  =   xz          30 = 37.5 = 45      3 = 3 = 3      

ab      ac        bc          40     50       60     4    4    4

c)they are similar because all sides break down to ¾  

Step-by-step explanation: this is what i did on my test

Answer:

area = 24 units squared

Step-by-step explanation:

area = 1/2 (base 1 + base 2) x height

area = 1/2 (4 + 8) x 4

area = 1/2 (12) x 4

area = 6 x 4

area = 24

Answer:

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Step-by-step explanation:

Answer:

The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]S_{m} = \frac{249+349+299+249+149+135+199+169}{8} = 224.75[/tex]

Confidence interval:

We have the standard deviation for the population, so the z-distribution is used.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.995}{2} = 0.0025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.0025 = 0.9975[/tex], so Z = 2.807.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.807\frac{85}{\sqrt{8}} = 84.36[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 224.75 - 84.36 = $140.39

The upper end of the interval is the sample mean added to M. So it is 224.75 + 84.36 = $309.11

The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11

The measure of A is: 78°

Answer:

9/15

Step-by-step explanation:

Answer:135

Step-by-step explanation:

[tex]area \: = {135}cm^{2} [/tex]

Step-by-step explanation:

[tex] \: from \: the \: diagram \: we \: have \: 3\: retangles \: \\ [/tex]

2 rectangular = 4×2 =8

3 rectangle = (13-2) × (7+4)

= 11×11 =121

total area = 6+8+121=135

Answer:

They're both cool but I personally like the first one better lol

Answer:

D. (1,6)

Step-by-step explanation:

Vertical line segment:

A vertical line segment has fixed x coordinate.

In this question:

Vertical line segment that is 4 units long and is connected to (1,2).

The x-coordinate is x = 1.

The y-coordinate can be y = 2 - 4 = -2 or y = 2 + 4 = 6.

(1,6) is one of the options, so the correct answer is given by option D.

Answer:

Step-by-step explanation:

Let's get the equation first and then look at the circle when it has been graphed.

(x - 2)^2 + (y - 4)^2 = 7^2

(x - 2)^2 + (y - 4)^2 = 49

Answer and step-by-step explanation:

I believe it is 287. I am not entirely sure, but I believe that is the answer.

Answer:

12 sq mi

Step-by-step explanation:

base times height divided by 2

Answer:

12

Step-by-step explanation:

Formula for area of a triangle = length X width ÷ 2

so the equation would be (6 X 4) ÷ 2

which equals (24) ÷ 2

which is 12.

So the answer is 12

a. The interest earned is $307.40.

b. The balance of the account after 4 years is $1982.40.

Simple interest is a type of interest that is calculated only on the principal amount of a loan or investment. It is a fixed percentage of the principal amount that is added to the loan or investment balance over a specified period of time.The formula for simple interest is:

I = P * r * t

In finance, the term "principal" usually refers to the initial amount of money that is borrowed or invested, excluding any interest or other fees that may be added on later.

In the given question,

a. To find the interest earned, we can use the formula:

Interest = Principal x Rate x Time

where Principal is the initial amount of money, Rate is the interest rate, and Time is the duration of the investment. Plugging in the given values, we get:

Interest = $1675 x 0.046 x 4

Interest = $307.40

Therefore, the interest earned is $307.40.

b. To find the balance of the account, we simply add the interest earned to the initial amount:

Balance = Principal + Interest

Balance = $1675 + $307.40

Balance = $1982.40

Therefore, the balance of the account after 4 years is $1982.40.

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Answer:

y = -3x - 16

Step-by-step explanation:

m = -3 ; (-6 , 2)

Slope point form : y - y1 = m(x -x1)

y - 2 = -3(x - [-6])

y - 2 = -3(x + 6)

y -2 = -3x + 6*(-3)

y - 2 = -3x - 18

    y = -3x - 18 + 2

  y = -3x - 16    

I'm just borrowing a little amount of points thank you sm

Answer:

16.25 mL

Step-by-step explanation:

Since we are mixing from the syrup in the inventory, we can say that the syrup in the inventory must be equal to that in the final solution. Thus, we will use the dilution equation to solve for the Initial volume;

Dilution equation is;

V₁C₁ = V₂C₂

Where;

V₁ is initial volume

C₁ is initial concentration or initial molarity

V₂ is final volume

C₂ is final concentration of final molarity

We are given;

C₁ = 80% = 0.8

C₂ = 60% = 0.6

V₂ = 65 mL

Making V₁ the subject in the dilution equation, we have;

V₁ = (V₂C₂)/C₁

V₁ = (65 × 0.6)/0.8

V₁ = 48.75 mL of inventory syrup

Since we have 48.75 mL of inventory syrup and the dilute solution is 65 ml, then the volume of soda solution required = 65mL - 48.75 mL = 16.25 mL

Answer: a school must transport 200 students

Step-by-step explanation:

Answer:

0.6?

Step-by-step explanation:

confused by the question but thats the middle decimal..

Answer:

A) 11.25

Step-by-step explanation:

6x+2x=90

8x=90

x=90÷8

x=11.25