Assume that in a local city it rains once every 7 days, on average. Also, assume that a full moon occurs once every 29 days. If we select a random date on the calendar, what is the probability that there will be rainfall and a full moon on that date.

Answer:

122

Step-by-step explanation:

Use the formula P=2(l+W)

the length would be 65ft and the perimeter would be 374

Answer:

triangle in the middle but it cant explain with it

Step-by-step explanation:

Answer:

$349.3

Step-by-step explanation:

Discount = Original Price*Discount %/100

Discount = 499*30/100

Discount = 499*0.3

You save = $149.70

Final Price = Original Price - Discount

Final Price = 499 - 149.7

Final Price = $349.30

The simplification of the expression (h² + 9·h - 1) × (-4·h + 3), involves the

multiplication of the terms. The error is therefore;

3. Calculating errors when distributing -1

The expansion of (h² + 9·h - 1) × (-4·h + 3), is given as follows;

(h² + 9·h - 1) × (-4·h + 3) = -4·h³ + 3·h² - 36·h² + 27·h + 4·h - 3

Which gives;

-4·h³ - 33·h² + 31·h - 3

The calculation is therefore;

[tex]\begin{array}{|c|c|c|c|}&h^2&+9 \cdot h & -1\\-4 \cdot h&-4\cdot h^3&-36\cdot h^2 &4 \cdot h\\+3& 3 \cdot h^2&27 \cdot h&3\end{array}\right][/tex]

The error is therefore, in the distribution of the -1

The correct option is;

3. Calculating errors when distributing -1

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Answer:

No

Step-by-step explanation:

No. Congruent triangles should also have corresponding congruent side lengths.

Jaden is incorrect. two triangles are not congruent if their interior angles are congruent.

The correct option is C.

Two triangles are said to be congruent if the three sides and the three angles of both the triangles are equal in any orientation.

Given, statement

two triangles are congruent if their interior angles are congruent.

Even when two triangles have all angles same,

they can still have sides of different lengths.

However, the ratio of lengths of corresponding sides will be same.

But in this case, they will be called 'similar' triangles, not congruent.

For example, in the image below, both triangles are equilateral and have all angles equal but they are not congruent.

Hence,  two triangles with congruent angles are not congruent, Jaden is incorrect.

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Answer:

368 Hamburgers

1,104 Cheeseburgers

Step-by-step explanation:

Solution of the system of equation 3x + y = 5 , 5x + 2y = 9 using matrix is x =1 and y =2.

As given in the question,

System of equation:

3x + y = 5 ,

5x + 2y = 9

In matrix form :

[tex]\left[\begin{array}{ccc}3&1\\5&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}5\\9\end{array}\right][/tex]

[tex]D = \left[\begin{array}{ccc}3&1\\5&2\end{array}\right][/tex]

   = (3)(2) -(5)(1)

   =1

[tex]D_{x} = \left[\begin{array}{ccc}5&1\\9&2\end{array}\right][/tex]

     = 10 -9

     = 1

[tex]D_{y} = \left[\begin{array}{ccc}3&5\\5&9\end{array}\right][/tex]

    = 27 -25

    = 2

[tex]x= \frac{D_{x}}{D}[/tex]

  = 1

[tex]y =\frac{D_{y}}{D}[/tex]

  =2

Therefore, solution of the system of equation 3x + y = 5 , 5x + 2y = 9 using matrix is x =1 and y =2.

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Step-by-step explanation:

sin30° = x/14

1/2 = x/14

1/2 × 14 = x

x = 7

cos30° = y/14

squareroot3/2 = y/14

0.866 = y/14

y = 0.866 × 14

y = 12.124

Answer:

could you take a screen shot and link the graph pls?

Step-by-step explanation:

Answer:

7.68

Step-by-step explanation:

8.55-2.12 is 6.43.

6.43+1.25 is 7.68

Answer: it is 9

Step-by-step explanation: if you mean calculating range as in the highest and lowest number then yes. If you mean geometric or arithmetic calculation of range then it would just be the numbers you stated.

Answer:

The median 3.5 the mean is 3.5 and the min is 0 max is 9

Step-by-step explanation:

to find the median cross out the nubers on the end if theres two ansewrs in the middle then do whatever number .5

Answer:

B) 243 km^3

Step-by-step explanation:

The formula for volume is Length x width x height, so we must find those values. By looking at the shape, the length is 9 km, width is 9 km, and height is 3 km, and after substituting these values in the equation, we get 9 km x 9 km x 3 km. When multiplied, it equals to 243 km^3, so the answer for the volume of the solid is B) 243 km^3.

Hope this helped somewhat! :P

Answer: A

Step-by-step explanation:

You have your slope (mx) which is 6, so it would look like 6x. We have our points and can see that y is 4. Put it all together using the slope formula to get y = 6x + 4

Answer:

height is = 3/2 ft

Step-by-step explanation:

a cones volume can be represented by 1/3(h)(pi)(r^2)

we must go backwards to find this question out

if the diameter is 2/3 then the radius is 1/3

then you must square that

that is 1/3 * 1/3 which is 1/9

1/9(1/3)(pi)(h) is 1/18(pi)

we can remove pi from both sides and multiply the 1/9 and the 1/3

1/27(h) = 1/18

we must find the lcm or least common multiple to figure this out

the lcm is 54

1/27 is essentially 2/54 and 1/18 is 3/54

2/54(h) = 3/54

we can multiply each side by 54

2h = 3

divide 2 on both sides

h is 3/2

Answer:

Step-by-step explanation:

Depending on the tools available to your 11y.o., it's a typical question for linear inequalities.

Where a,b,c are the # of 1,15,50 coins given by the buyer, and d,e,f the # of coins given back by the seller.

1×a + 15×b + 50×c > 1×d + 15×e + 50×f

a+b+c+1>=d+e+f

a+b+c >=2

Now, there are other clues in the text :

If the seller gives back money, then you didn't pay with 1's, otherwise, it means you overpay and you could have given fewer coins. So a=0.

Similarly, the seller cannot give you back a coin of 50, otherwise, you could have given fewer coins as the buyer. So f=0.

So that gives :

15×b + 50×c > 1×d + 15×e

b+c+1>=d+e

b+c >=2

From that point on, there is only a handful of scenarios to test.

Answer:

36

Step-by-step explanation:

[tex]2(2x - 5) = 2 x+ {2}^{3} \\ 4x - 10 = 2 x + {2}^{3} \\ 4x = 2x + 8 + 10 \\ 4x = 2x + 18 \\ 4x - 2x = 18 \\ 2x = 18 \\ x = \frac{18}{2} \\ x = 9 \\ \\ 4x = 4 \times 9 = 36[/tex]

Answer:

Decimals:

0.72, 0.25, 5.0, 0.05

Fractions in simplest forms:

18/25, 1/4, 5/1, 1/20

Step-by-step explanation:

To convert percentages into decimals:

You divide the percentage by 100.

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100. And, then we express the fractional form of the percentage in the simplest form. For example, 1% is 1/100, 2% is 2/100 which can be reduced to 1/50.

Hope this helps and Brainliest please.

Answer: Height = 19.5mm

Step-by-step explanation:

The area of a triangle is the base*height/2.

We can plug in the values given for the base and area.

Therefore, 156 mm^2 = 16mm*height/2

Multiply both sides by 2:

312 mm^2 = 16mm*height

Divide both sides by 16mm:

Height = 19.5mm

Answer:

X = 1

Step-by-step explanation:

Subtract 3 from both sides:

-6x+3-3=4x-7-3

Simplify the equation above:

-6x=4x-10

Subtract 4x from both sides:

-6x-4x=4x-10-4x

Simplify the equation above:

-10x=-10

Divide both sides by 10:

-10x/10=-10/10

The graph that represents the equation y = -1/2x -3 is B

A graph is a series of points, discrete or continuous, forming a curve or a straight line, each of which represents a value of a given function.

Graphs could be positive, or negative.

When the increase in y results to an increase, in x then the graph is said to be positive graph while and increase in y leads to a decrease in x is called negative graph.

From the equation, y = -x/2 -3

If x = 0, then the y-intercept is  -3 which is below the x -axis.

Also, if x = 2, y will be -4, if x = 4, y = -5

These shows that as x increases y- decrease, making it a negative graph which slopes from left to right passing through the y-axis at x = -3 which is graph B

In conclusion the graph that represents the given equation is B

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Answer:

n = 4

Step-by-step explanation:

[tex]Cross \;Multiply[/tex]

[tex]3*n=3n[/tex]

[tex]2*6=12[/tex]

[tex]3n=12[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3n}{3}=\frac{12}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]n=4[/tex]

[RevyBreeze]

Answer:

Mid = ( -51 / 2 ), 4

Step-by-step explanation:

Mid = ( x1 + x2,   y1 + y2 )

                /              /

                2             2

Mid = ( -11 + (-40)),   (-14 + 22 )

                /                      /

                2                    2

Mid = ( -51 ),   ( 8 )

            /           /

           2          2

Mid = ( -51 / 2 ), ( 4 )

I hope this helps!

Answer:

1. Median is 79 (in)

(78+80/2 => gives halfway point)

2. 7 (in)

(IQR is UQ - LQ => that is 82 - 75)

3. LQ is 75 (in)

4. Maximum height is 84 (in)

(the largest value or the tallest you could be)

I've included units - pretend they don't exist.

Hope this helps!

Answer:

2/15

Step-by-step explanation:

slow heart rate and blue eyes (2) over total (15)

2/15 doesn't simplify

Answer:

13/100 is my final answer

Step-by-step explanation:

First, in order to get blue eyes, you need to be part of 40% thats not much but not little either. Then in order to get A fast heart rate out of that, you need to be part of the 26% out of 40% and that leaves you with 13 to 14 %.

I say 13 to 14 because both the 13 and 26 % came from a decimal that went on forever but due to rounding it can be 27 gets fast heart rate with 13 percent gets slow heart rate and blue eyes or 14 gets it and 26 gets faster

Hope this helped.

A brainliest is always appreciated.

The infinite sum is (first term) divided by (1 minus the common ratio). The first term is 6(1/4) = 3/2; the common ratio is 1/4:

[tex]S=\frac{\frac{3}{2} }{1-\frac{1}{4} } =\frac{\frac{3}{2} }{\frac{3}{4} } =(\frac{3}{2} )*(\frac{4}{3} )=2[/tex]

The terms after n=16 are tiny and will certainly bring the sum down only a tiny bit.

So to the nearest whole number the sum of the finite geometric series is 2.

The first day of August in the first day of July combined does not account for 75% of the sales on the first day of the month from July through December.

A bar chart is a graph that shows categorical data. They are made up of rectangular bars with heights that are proportional to the values that they represent. The rectangular bars can either be plotted vertically or horizontally.

Percentage of sales made in July and August = (sum of sales made in July and August / total sales) x 100

(32 + 28) / (20 + 15 + 4 + 1 + 32 + 28)

= (60 / 100) x 100 = 60%

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