check out the pic first

In [tex]15[/tex] diffret days [tex]15/4[/tex] inches of rain fell in April month if every day rained [tex]1/4[/tex] of a inch .

How to find the rain fell in [tex]15[/tex] diffret days ?

We know that rain in every day is [tex]1/4[/tex] of a inch

So for [tex]15[/tex] days

[tex]1/4+1/4+1/4+......15times\\=15/4[/tex]

So in [tex]15[/tex] diffret days in April rain fell is [tex]15/4[/tex] inches.

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Answer:

972π  or 3052.08 if π=3.14(remember to label the answer with your units)

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}\\[/tex]π[tex]r^{3}[/tex]. So, just plug the radius into the formula. [tex]r^{3}[/tex] in this case is [tex]9^{3}[/tex] which is 729. For, [tex]\frac{4}{3}[/tex]×729, the 3 and 729 cancel out to create 4×243 which is 972. Just add π to this and you get 972π. If π is 3.14 just multiple 972 and 3.14 to get 3052.08.

The value of x is 6 and the measure of ∠C is 86 degrees

The complete question is added as an attachment

Given that:

ABCDE ~ LMNOP

It means that we have the following equivalent ratio

ED : BC = PO : MN

This gives

8 : 6 = 12 : x

Express as fraction

6/8 = x/12

Multiply both sides by 12

12 *  6/8 = x

Evaluate

9 = x

Rewrite as

x = 9

Also

ABCDE ~ LMNOP implies that the corresponding angles are equal

The corresponding angle of C is N

And, we  have:

N = 86

This implies that

C = 86

Hence, the value of x is 6 and the measure of ∠C is 86 degrees

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The area of the square will be 196cm².

It should be noted that the perimeter of a square is the addition of all its sides. Therefore, the length of the side will be:

= 56/4

= 14

Therefore, the area of the figure will be:

= 14²

= 14 × 14

= 196cm²

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Answer:

x < -41/6 or x > -13/6.

Step-by-step explanation:

5/2+x>1/3

x > 1/3 - 5/2

x > 2/6 - 15/6

x > -13/6

x+2 < -29/6

x < -29/6 - 2

x < -41/6

The answer is     x < -41/6 or x > -13/6.

Answer:

x > -13/6 or x < -41/6

Step-by-step explanation:

5/2+x>1/3 or x+2 < -29/6

x > 1/3 - 5/2 or x < -29/6 - 2

x > 2/6 - 15/6 or x < -29/6 - 12/6

x > -13/6 or x < -41/6

The correct answer is 64 - 3 a.

What is a linear equation in math?

I spent a dollars at American Eagle, which is 4 more than the amount I spent at Banana Republic ( b ).

a = b + 4.  Therefore: b = a - 4

Also I spent 15 less at American Eagle than I spent in Cole Haan ( c ).

a = c - 15, or: c = a + 15.

75 - a - ( a - 4 ) - ( a + 15 ) = 75 - a - a + 4 - a - 15 =

= 64 - 3 a

Therefore, I have 64 - 3a dollars left after shopping at these three stores. Now we just have to know how much dollars I spent at American Eagle and we will have the amount in dollars.

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The complete question is -

I enter the mall with $75 dollars. I spend a dollars at American Eagle, which is 4 more than the amount I spent at Banana Republic. I also spent 15 less at American Eagle than I spent at Cole Haan. How much money do I have left after shopping at these three stores?

The logarithmic equation of 8^x = 64 is [tex]x = \log_8(64)[/tex]

The exponential equation is given as:

8^x = 64

Take the logarithm of both sides

xlog(8) = log(64)

Divide both sides by log(8)

x = log(64)/log(8)

Apply the change of base rule

[tex]x = \log_8(64)[/tex]

Hence, the logarithmic equation of 8^x = 64 is [tex]x = \log_8(64)[/tex]

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Jake travel to the coffee shop by bike with speed of [tex]8mph[/tex] is  [tex]56mile[/tex] and when bike got a flat so Jake walked [tex]4mile[/tex]

How to find the speed by biking and walking ?

let [tex]b[/tex] = time spent biking

then   [tex]8-b[/tex] =time spent walking

Write distance equation

[tex]dist=speed *time[/tex]

So bike distance [tex]+[/tex] walk distance [tex]=60mile[/tex]

[tex]8b+4(8-b)=60\\8b+32-4b=60\\4b=60-32\\b=28/4\\\\b=7hrs[/tex]

Then [tex]8-7=1 hrs[/tex] spent walking.

For cross check the answer find that actual distance for each

[tex]8(7)=56mi\\4(1)=4mi\\-------\\total distance=60mile[/tex]

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We can learn a lot about a population if we select a subset of it.

One kind of set is a sample space. It is a clear listing of every event that could occur in a statistical experiment. A statistical experiment's events are a subset of the sample space.

A subset is a smaller group of results that are part of the bigger group.

Subsets are events, and events are subsets. A subset is an event of a sample space, and an event is a potential result of an experiment. A random experiment's sample space is a set (S) that contains all of the experiment's potential outcomes.

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Answer:

The width can either be 4 or 5 feet.

Step-by-step explanation:

Assuming the length is x and the width is y.2x+2y=18xy=202y=18−2xy=9−xx(9−x)=209x−x2=200=x2−9x+200=(x−5)(x−4)x=5and4 The width can either be 4 or 5 feet

The method whereby data display can be used to create a data display of a different form is as done below.

To answer this question means we are trying to create a view page where we need to display data as well as a form to insert data.

Now, for us to insert data we can use a bootstrap modal which is;

public ActionResult GetFirm()

       {

           return View(db.FirmModels.ToList());

       }

The view page would be given and then the way to do it is;

Pass a list to the view and define your view model as:

model IEnumerable<models.FirmModel>

The IEnumerable interface is implementing the GetEnumerator() method used to iterate through the collection.

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Answer: 16x - 2

Step-by-step explanation:

The perimeter of a figure is the total length of all sides of the figure. Since this figure is a rectangle, opposite sides have the same length.

Therefore, the perimeter of the picture frame can be modeled by

[tex]6x+3+2x-4+6x+3+2x-4[/tex]

Moving all like terms together, we get

[tex]6x+2x+6x+2x+3-4+3-4[/tex]

Finally, combining these terms, we get

[tex]16x -2[/tex]

3) [tex]\angle ADB[/tex] and [tex]\angle BDE[/tex] are supplementary (if two angles form a linear pair, they are supplementary)

4) [tex]\angle ADC[/tex] and [tex]\angle CDE[/tex] are supplementary (if two angles form a linear pair, they are supplementary)

5) [tex]\angle ADB \cong \angle ADC[/tex] (supplements of congruent angles are congruent)

6) [tex]\triangle ADB \cong \triangle ADC[/tex] (SAS)

7) [tex]\angle ABD \cong \angle ACD[/tex] (CPCTC)

Answer:

42.1

Step-by-step explanation:

The formula to calculate distance is √[(x₂ - x₁)² + (y₂ - y₁)²]. Using (22,27) as our x1 and y1, and (2,-10) as our x2 and y2.

Therefore our formula is √[(2 - 22)² + (-10 - 27)²].

(2 - 22)² = 400

(-10 - 27)² = 1369

(Make sure for both of these you put the negative number in parenthesis and the exponent outside them, if you are using a calculator of some sort)

Then we add and square root

√[400 + 1369] = 42.0594816896

The distance between the points (22,27) and (2,-10) is 42.1 units

The coordinates of the points are (22,27) and (2,-10)

The distance is calculated as:

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

So, we have:

[tex]d = \sqrt{(22 -2)^2 + (27 +10)^2[/tex]

Evaluate

[tex]d = \sqrt{1769[/tex]

Take the square root

d = 42.1

Hence, the distance between the points (22,27) and (2,-10) is 42.1 units

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Answer:

b) x = 4

Explanation:

[tex]2x^2 - x + 10 = 38[/tex]

collect variables

[tex]2x^2 - x + 10 - 38 = 0[/tex]

simplify

[tex]2x^2 - x - 28 = 0[/tex]

breakdown

[tex]2x^2 -8x + 7x - 28 = 0[/tex]

factor out

[tex]2x(x - 4) + 7(x - 4) = 0[/tex]

collect into groups

[tex](2x + 7)(x - 4) = 0[/tex]

set to zero

[tex]2x + 7 = 0, x - 4 = 0[/tex]

relocate variable

[tex]2x = -7, x = 4[/tex]

final solutions

[tex]x = -3.5, x = 4[/tex]

The answer is b.

To find the value of x, we need to convert this into the form of a quadratic equation.

Subtract 38 from each side.

Solve by splitting the middle term.

Answer:

The answer is A

Step-by-step explanation:

Answer:

, a ray is a line with a single endpoint (or point of origin) that extends infinitely in one direction.

Then the answer will the first

Resolviendo un sistema de ecuaciones, veremos que se vendieron 250 boletos de adulto.

Definamos las variables:

Se vendieron un total de 430 boletos, entonces:

x + y = 430

Y se vendieron 70 boletos de estudiante menos que boletos de adulto:

y = x - 70

Tenemos el sistema de ecuaciones:

x + y = 430

y = x - 70

Para resolverlo, podemos reemplazar la segunda ecuación en la primera:

x + y = 430

x + (x - 70) = 430

2x = 430 + 70 = 500

x = 500/2 = 250

Se vendieron 250 boletos de adulto.

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Answer: 14.353 or 18.647

Step-by-step explanation:

Hi.

Subtracting:

16.5 - 2.147 = 14.353

Adding:

16.5 + 2.147 = 18.647

Answer:

28, 4 or 4, 28 (order doesn't matter, both are true answers)

Step-by-step explanation:

l + w = 32

l*w = 112

l = 112/w

112/w + w = 32

w = 28 or 4

l = 28 or 4

Answer:

4,28

Step-by-step explanation:

So let's look at the sentence to take any necessary information out. It says the length of a rectangle plus it's width is 32. Since we do not know what the length and width are, let's just represent them as L (length) and W (width). Using this information we get the equation: [tex]L + W = 32[/tex] and since we're given the area of the rectangle, we can also define another equation which is: [tex]LW = 112[/tex] since the length * width = area.

So now all we have is a systems of equations. We can solve for L or W in the area equation and plug it into the addition equation. We can also solve for L or W in the addition equation and then plug it into the area equation, either should work, but in this example I'll solve for L in the addition equation:

Original Equation:

[tex]L + W = 32[/tex]

Subtract 32 from both sides

[tex]L = 32-W[/tex]

Now let's use this definition of L to plug into the second equation:

[tex]LW = 112 \implies (32-W)W = 112[/tex]

Distribute the W

[tex]-W^2+32W=112[/tex]

Now if you notice, we simply have a quadratic equation and we can subtract 112 from both sides and then use the quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Subtract 112 from both sides

[tex]-W^2+32W-112=0[/tex]

Use quadratic formula

[tex]W = \frac{-32\pm\sqrt{32^2-4(-1)(-112)}}{2(-1)}[/tex]

Simplify stuff in radical

[tex]W = \frac{-32\pm\sqrt{576}}{-2}[/tex]

Calculate the square root

[tex]W=\frac{-32\pm24}{-2}[/tex]

Use positive sign:

[tex]W=\frac{-32+24}{-2}[/tex]

Simplify numerator

[tex]W = \frac{-8}{-2}[/tex]

Simplify fraction

[tex]W=4[/tex]

Take negative sign
[tex]W = \frac{-32-24}{-2}[/tex]

Simplify numerator

[tex]W=\frac{-56}{-2}[/tex]

W = [tex]28[/tex]

So we have two solutions, and the reason for this is because had we solved for W in the original equation and substituted that into here, there would be no different, it's not bound by some variable name. So these are actually the two sides of the rectangles

4 + 28 = 32

4 * 28 = 112

4, 28

Answer:

Step-by-step explanation:

7+6-8x5=

7+6-40=

13-40=

-37

if the x is multiplying

The null hypothesis be is =15 and the alternative hypothesis be  is ≠15

According to the statement

Mean length of time on death row is 17.4 years

Standard deviation of 6.3 years.

Now we determine the hypothesis with mean time 15 years then

P value outcome is 0.00015

So, The null hypothesis be  is =15 and the alternative hypothesis be is ≠15

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Answer: 19/25

Step-by-step explanation:  50 candies total. 28 are red, 10 are blue 8 are green, and 4 are yellow. We want to calculate the probability of choosing a candy and either getting blue or red. The total candies that are blue or red are 28+10 = 38. So, 38/50. We can simplify by dividing by 2 to get 19/25. 19 is a prime number so that is as simple as we can get,

Multiplying both sides of an inequality by a negative number reverses the inequality symbol.

The table of values is given as:

A: (-16 > -4) (-16 < -4) (-16 = -4)

B: (40 > 8) (40 < 8) (40 = 8

C: (-45 > 15) (-45 < 15) (-45 =15)

D: (35 > -20) (35 < -20) (35 = -20)

In the above list of inequalities, the true inequalities are

-16 < -4 --- because -16 is less than -4

40 > 8 --- because 40 is greater than 8

-45 < 15 --- because -45 is less than 15

35 > -20 --- because 35 is greater than -20

Lastly, when an inequality is multiplied or divided by a negative number, the inequality sign changes

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Answer:

-16 < -4

40 > 8

-45 < 15

35 > -20

Reverses

Step-by-step explanation:

hope this helps

The attached graph represents the scatter plot of the table of values

The table of values is given as:

Variable A 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8

Variable B 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4

Rewrite the table as:

x 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8

y 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4

Next, we plot the values on a graph

See attachment for the scatter plot

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The expressions based on the information given are illustrated below

3/4 ÷ 1/2 = 1.5 = quotient is grater than 1

1/2 ÷ 3/4 = 2/3 = quotient is less than 1

2/9 ÷ 1/27 = 6 = quotient is grater than 1

5/3 ÷ 20/6 = 1/2 = quotient is less than 1

4/3 ÷ 3/5 = 20/9 = quotient is grater than 1

19/8 ÷ 2 3/8 = 1 = quotient is equal to 1.

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Answer:

The second choice.

Step-by-step explanation:

Correspond sides are in the same ratio

12/4 =  x/8

.

Answer:

Step-by-step explanation:

Solution

The length of all the rectangles is 7

You need the width to be               4

Area rectangle = L*w

Area rectangle = 7*4

Area rectangle = 28

Answer: B

Answer:

X=10

Step-by-step explanation:

You can subtract 180 by 110 to get 70. Then you can do 8x+30+70=180
Add 30+70 to get 100
Subtract 100 to 180 to get 80.
8x=80
You divide 8 from both sides which leaves you with x=10.

Answer:

x=10

Step-by-step explanation:

See attached image

See below for the converse, inverse, and contrapositive of the statement

The statement is given as:

If Brielle drives at exactly 30 mi/h, then she travels 10 mi in 20 mins

The speed is calculated as:

Speed = Distance/Time

So, we have:

Speed = 10 mi/20 mins

This gives

Speed = 10 mi/1/3 h

Speed = 30 mi/h

The converse

To do this, we simply switch the hypothesis and the conclusion

So, the converse is:

If Brielle travels 10 mi in 20 mins, then she drives at exactly 30 mi/h

The above statement is true

The inverse

To do this, we simply negate the hypothesis and the conclusion

So, the inverse is:

If Brielle did not drive at exactly 30 mi/h, then she did not travel 10 mi in 20 mins

The above statement is false

The contrapositive

To do this, we simply negate the hypothesis and the conclusion, and then switch them

So, the contrapositive is:

If Brielle did not travel 10 mi in 20 mins, then she did not drive at exactly 30 mi/h

The above statement is false

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The reflection of BC over I is shown below.

See the attached figure for a better explanation:

1. By the unique line postulate, you can draw only one line segment: BC

2. Using the definition of reflection, reflect BC over l.

3. By the definition of reflection, C is the image of itself and A is the image of B.

4. Since reflections preserve length, AC = BC

Therefore, the reflection of BC over I is shown.

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The question you are looking for is here:

C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, Using the definition of, reflect BC over l. By the definition of reflection, C is the image of itself and is the image of B. Since reflections preserve , AC = BC.