Find the values of the variables. Then find the side length of the square 

Answer:

X= 29 because it is a right angle, and all right angles are = to 90, so you subtract 61 from 90.Y= 29Z= 61

Step-by-step explanation:

Answer:

Step-by-step explanation:

Summation of all angles within a triangle is equal to 180 degrees.

y+61+90=180

Therefore, y = 180-61-90 = 29 degrees

61+x = 90

Therefore, x = 90-61 = 29 degrees

z+90+29 = 180

Therefore, z = 180 - 90 - 29 = 61 degrees

Answer:

x=0

Step-by-step explanation:

it is a straight line on the y axis making x=0

Positive and negative numbers are included in the category of integers, which is distinct from decimals and fractions.

What in math is an integer?

There are numerous types of numbers, including integers, whole numbers, rationals , real numbers, and natural numbers. Positive and negative numbers are included in the category of integers, which is distinct from decimals and fractions. It has the following qualities:

Numbers below zero are considered negative numbers.

In the set of integers, zero is included.

There are overlaps between the number categories.

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First Shaylee must substitute 6 for w. To simplify, Shaylee must divide

42 by 6.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group.

Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.

In this equation we have

42 ÷ w = 7

The question has already specified the value of w as 6

Hence we would have to remove w and replace it with the value six 6.

This is

42 ÷ 6

Next we have to find the value or the answer when we do this division. This can be easily done with a calculator

42 ÷ 6 = 7

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As per the unitary method, the cost of 8 bottles is $6.48

Unitary Method:

Unitary method is the way of solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

Hawa buys 15 bottles of apple juice at the corner store for a total cost of $12.15.

Here we need to find the if each bottle costs the same amount, how much is 8 bottles of juice.

Let x be the cost of one bottle.

so, based on the unitary method we can written the situation as,

15 bottles = costs $12.15

Therefore, the cost of one bottle is.

x = 12.15/15

x = 0.81

So, the cost of 8 bottle is calculated by multiplying the cost of one bottle with 8,

Then we get,

=> 8 x 0.81

=> 6.48

Therefore, the cost of 8 bottles is $6.48

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The proportion of heads after the first 10 tosses of a coin is zero i.e 0/10 = 0

A probability is a number that reflects the likelihood or probability that a particular event will occur. Probabilities can be expressed as percentages ranging from 0 to 1, and can also be expressed as percentages ranging from 0% to 100%. A probability of 0 indicates that the particular event is unlikely to occur, and a probability of 1 indicates that the event will definitely occur.

Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes.

We have given the following points ,

A coin is tossed 10 times and it comes with tail in each time of first 10 tosses.

When a coin is toosed , there two possibilities either it comes with head or tail. Both can't be come at once.

As we see first ten tosses of a coin gives tails as a result . Then, there is no chance of occurrence head in first 10 tosses.

So, there in no heads in first 10 tosses. The probability or proportion of heads after the first 10 tosses is 0/10 = 0..

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#Complete Question:

Probability works not by compensating for imbalances but by overwhelming them. Suppose that the first 10 tosses of a coin give 10 tails and that tosses after that are exactly half heads and half tails. (Exact balance is unlikely, but the example illustrates how the first 10 outcomes are swamped by later outcomes.) (Use decimal notation. Give your answers as exact numbers.) What is the proportion of heads after the first 10 tosses?

The expression is 2z+0.67

From the question, we have

During the first year that she owned the stock, it decreased by 35%. During the second year the value of the stock decreased by 32%.

z-35%+z-32%

=z-7/20+z-8/25

=2z+0.67

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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Stacey meets Andrew 1.5 hours after she starts travelling at 11:30 AM and Andrew meets Stacey 2 hours after he starts travelling at 11:30 AM.

How to solve this problem?
Stacey and Andrew in the mentioned problem will meet in a time frame only when the both have travelled equal distances in respect to another.

Given, speed at which Andrew was travelling = 12 mi/h
Speed at which Stacey was travelling = 16 mi/h
Let the time taken by Stacey be = t hours
Therefore, the time taken by Andrew = (t + 0.5) hours
When Stacey overtakes Andrew, they must have covered the same distance, therefore:
16t = 12×(t + 0.5) ⇒ 16t = 12t + 6 ⇒ 4t = 6 ⇒ t = 6/4 ⇒ t = 3/2 ⇒ t = 1.5
Therefore, Stacey meets Andrew 1.5 hours after she starts travelling at 11:30 AM and Andrew meets Stacey 2 hours after he starts travelling at 11:30 AM.

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Answer:

y = [tex]\frac{7}{2}[/tex] x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{7}{2}[/tex] x + 6 ← is in slope- intercept form

with slope m = [tex]\frac{7}{2}[/tex]

• Parallel lines have equal slopes , then

y = [tex]\frac{7}{2}[/tex] x + c ← is the partial equation of line h

to find c substitute (- 2, - 3 ) into the partial equation

- 3 = - 7 + c ⇒ c = - 3 + 7 = 4

y = [tex]\frac{7}{2}[/tex] x + 4 ← equation of line h

The net worth of Delilah given the assets and liabilities will be $24197.

From the information given, Delilah has assets that total $56,326 and liabilities that total $32,129.

It should be noted that the formula to calculate the net worth will be:

= Assets - Liabilities

= $56,326 - $32,129

= $24197

The net worth is $24197.

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Answer:

169 times

Step-by-step explanation:

To find number of rotations made by wheel...

Know that 1 yard = 36 in

300 yards = 36 x 300 = 10800 in

Number of rotation = Total distance covered by wheel ÷ Circumference of wheel

Number of rotations = 10800 ÷ 64 = 168.75 ≅ 169

Therefor, the wheel rotates = 169 times

Hope this helps! :)

The system of equations with the solution (4, -3) is y = x - 7 and y = 2x - 11.

We are given a point. The coordinates of the point are (4, -3). We need to find a system of equations such that they pass through the given point.

We will use the slope-point form of a line. Let the slope of the equation of the straight line be "m". We need two equations. The general equation of a line using the slope-point form is given below.

(y - y1) = m(x - x1)

We know that both equations must pass through the given point for the solution to exist.

(y - (-3)) = m(x - 4)

(y + 3) = m(x - 4)

We just need to take any two values of the slope of the line.

First, we take m = 1. The corresponding equation is given below.

(y + 3) = m(x - 4)

(y + 3) = 1*(x - 4)

y + 3 = x - 4

y = x - 7

Next, we take m = 2. The corresponding equation is given below.

(y + 3) = m(x - 4)

(y + 3) = 2*(x - 4)

y + 3 = 2x - 8

y = 2x - 11

Hence, the system of equations is y = x - 7 and y = 2x - 11.

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Answer:

50 mins: 1 and a 1/2 hours

Answer:

9:5

Step-by-step explanation:

1.5 hours is equivalent to 90 minutes (60 x 1.5)

so it's a ratio of 90:50

this can be simplified to a ratio of 9:5 by dividing both sides by their shared factor of 10

Answer:

15/x

Step-by-step explanation:

x = fish tank

Answer: .................................................

how many ways can the seating be arranged?

answer = 128 ways

correct or what???

Answer:

2 : 45

Step-by-step explanation:

The sum of three consecutive even numbers is 558, The first number is 184.

The Sum of three consecutive even numbers is 558

We have to find the first number

Let the three consecutive even numbers be:

First number = x

Second number = x + 2

Third number = x + 4

Since their sum is 558

Therefore,

x + x + 2 + x + 4 = 558

3x + 6 = 558

3x = 558 - 6

3x = 552

Divide both sides by 3

Then the first number is 184.

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ann made a rectangle with the

right perimeter & area

ann doesn't try any other

rectangles to see if their areas are

different.

splitting the land , ann confuses perimeter and area

mapmathshellorg

Answer: The total price is $478.06

Step-by-step explanation:

For this we use regular price of the suit as x

x is 100% of the price therefore 62% of x=296.4

Now we cross multiply

62 × x = 100 × 296.40

62x = 29,640

Now that we got rid of those complicated percentages we simply divide both sides by 62 to isolate x

29,640/62 = 478.064516129

Since we are working with dollars and cents that do not get smaller than .01 we can shave off all the extra decimals near the end

478.06

The regular price is $478.06

Now we just check our work to prevent any awkward and simple mistakes

478.06 x .62 = 296.3972 or 478.06 x .62 = 296.39

Keep in mind the one cent difference is because we shaved off the extra decimals at the end

Hope this helps!

Answer:

7 < x < 23

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the interval

difference of 2 sides < x < sum of 2 sides , that is

15 - 8 < x < 15 + 8

7 < x < 23

Answer: 27/31 is the answer

Step-by-step explanation:

31/27 x 27/31 = 1 because 27/31 is the recprical

Answer:x = 31/27 = 1.148 

Step-by-step explanation:

Answer:

10.53

Step-by-step explanation:

hope it helps :)

A graph to represent this scenario is number line with open circle on the number 89 and line shaded to the right

In Mathematics, the following rules are generally used for writing and interpreting an inequality on a number line:

Let the age of the grandparents be x. Therefore, an inequality which represents the situation described above is given by:

x > 89

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It is true that statistical output provides a means for creating a picot question.

The letters PICOT stand for patient, intervention, comparison, outcome, and (occasionally) time, which are the components of a clinical research question. A case scenario is used to frame the question in the PICOT process in order to elicit an answer. A PICOT question's main objective is uncomplicated: It is a mechanism for determining the keywords to use when looking for the strongest evidence to address a pressing clinical question. In other words, the search plan is the PICOT question. The search strategy produces an objective and successful search.

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There are 20 ways to paint the fence consisting of six panels each with one color out of green, red, and magenta.

There is a total of 6 panels and 3 paint colors and each panel has to be painted with only 1 color.

∴ Total number of panels = 6

Total number of colors = 3 (green, red, and magenta)

To calculate the number of ways to paint 6 panels with one of the 3 colors, the formula of combination is used. Combinations are ways of selecting objects from a group or collections, in a way that the order of the objects does not matter.

The number of ways or the combinations of 6 panels taken with each color out of 3 at a time is given by [tex]^6C_3[/tex]

[tex]^6C_3[/tex] = 6! / [3! (6-3)!]

[tex]^6C_3[/tex] = (6*5*4*3*2*1) / [3*2*1 (3)!]

[tex]^6C_3[/tex] = 720 / (6*6)

[tex]^6C_3[/tex] = 720 / 36

[tex]^6C_3[/tex] = 20

Therefore, 20 combinations are possible to paint 6 panels each with only one color out of green, red, and magenta.

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Answer: What do you need the total or the equation? I am going to write the equation.

Step-by-Step Solution: (5)(d)+(5)(d)(2.5)+ (5)(d)-4