Rectangle T R E C is shown. Diagonals are drawn from point R to point C and from point E to point T and intersect in the middle. The distance from point R to the middle is 2 x minus 3 and the distance from the middle point to point C is x + 7. TREC is a rectangle. What is the length of ET? 10 units 17 units 20 units 34 units

Answer:

The answer is 6!

Step-by-step explanation:

The best estimate of Start Fraction 90 over 7 End Fraction divided by 1 and three-fourths is 6 so, option B is correct.

It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

Start Fraction 90 over 7 End Fraction divided by 1 and three-fourths,

Write the  above phrase in mathematical form as shown below,

90 / 7 ÷ 1 3 / 4

convert the mixed fraction into improper fraction as shown below,

90 / 7 ÷ 4 + 3 / 4

90 / 7 ÷ 7 / 4

90 / 7 × 4 / 7

360 / 49

7.346

The nearest value in the option is 6.

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Answer:

x = -5

Step-by-step explanation:

− 6 x − 15 = 4 x + 35

Add 6x to each side

− 6 x+6x  − 15 = 4 x+6x + 35

-15 = 10x+35

Subtract 35 from each side

-15-35 = 10x+35-35

-50 = 10x

Divide each side by 10

-50/10 = 10x/10

-5 =x

Answer: x = -5

Step-by-step explanation:

In order to solve this problem, you need to isolate the variable.

In this problem, you need to isolate the x.

-6x -15 = 4x +35

10x = -50

x = -5

Answer: the numbers are 24 and 56

Answer:

its A - 3 [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

23/4 / 3/2

23/4 x 2/3

3 5/6

Answer:

Step-by-step explanation:

[tex]f(x) = 2x + 2\\\\f^-^1 (x) = ?[/tex]

Let y equal to the given equation ;

[tex]y = 2x+2\\[/tex]

Solve for x ;  

[tex]y-2 = 2x\\Divide \:both\:sides\:of\:the\:equation\:by \:2\\\\\frac{y}{2} - \frac{2}{2} = \frac{2x}{2} \\\\\frac{y}{2} -1 =x\\\\x = \frac{y}{2} -1[/tex]

Change the y back to x

[tex]x = \frac{x}{2} -1 \\\\f^-^1(x) = \frac{x}{2} -1[/tex]

Answer:

Star B

Step-by-step explanation:

If Star A is 5.23*10^7 light years away from earth, and star B is 7.1*10^5 light years away from earth, then the closest Star to earth is Star B.

this is because a light year is 9.461*10^15 m away, if we multiply this, then Star A is 4.948*10^23 m away from earth, and Star B is 6.717*10^21 m away from earth, and this makes it closer when compared to Star A.

Answer:

No

Step-by-step explanation:

Alrighty let's put this in decimal mode

.74<.80<.60

this statement is false considering .80 is not greater than .60

Answer:

0 it went minus 2 minus 3 minus and so forth

Answer:

x^2 - 3

Step-by-step explanation:

they both contain the variable of x^2 and -3 when factored out it would be

3 and x + 2

Step-by-step explanation:

Mohammed used 3 1/2 ink cartridges = [tex]\dfrac{7}{2}[/tex]

Luigi used 1 3/4 ink cartridges = [tex]\dfrac{7}{3}[/tex]

It means that Mohammed used more ink cartridges than Luigi. The more amount is calculated as follows :

[tex]\dfrac{7}{2}-\dfrac{7}{3}=\dfrac{7\times3-7\times 2}{6}\\\\=\dfrac{21-14}{6}\\\\=\dfrac{7}{6}[/tex]

So, [tex]\dfrac{7}{6}[/tex] more ink cartridges Mohammed used than Luigi.

Answer: Switch steps 2 and 3.

explanation: Have a good day stay safe

Answer:

Additional 26 pendants are to be sold to make profit.

Step-by-step explanation:

Rent of booth at the craft fair = $200

Cost of material for each pendant = $7.80

Let Kelsey makes [tex]x[/tex] number of pendants.

To calculate the total spending, we have to add the rent of booth at the craft fair and cost of material for [tex]x[/tex] number of pendants.

Cost of material for [tex]x[/tex] number of pendants = Cost of material for each pendant multiplied by number of pendants

Cost of material for [tex]x[/tex] number of pendants = $7.80 [tex]\times[/tex] [tex]x[/tex]

So, total cost = $200 +  $7.80 [tex]\times[/tex] [tex]x[/tex]

Now, each pendant is sold at $13.50

So, total money made by selling  [tex]x[/tex] pendants =  $13.50 [tex]\times[/tex] [tex]x[/tex]

For making profit, total money made must be greater than the total cost.

Therefore, the inequality becomes:

[tex]\bold{13.50 \times x > 200+7.80\times x }[/tex]

Let us solve the inequality now:

[tex]13.50x - 7.80x>200\\\Rightarrow 5.7x > 200\\\Rightarrow \bold{x > 35.08}[/tex]

So, at least 36 pendants are to be sold to make a profit.

Additional 36-10  = 26 pendants are to be sold to make profit.

Answer:

Holly is incorrect. The decimal part follows a pattern but does not actually repeat.

so D is the correct option

Step-by-step explanation:

The numbers follow a pattern but if you take a closer look you will see that the numbers do not repeat even though they still use the numbers 1, and 3 doesn't mean there a rational number.

Holly is incorrect. The decimal part follows a pattern but does not actually repeat.

The numbers follow a pattern but if you take a closer look you will see that the numbers do not repeat even though they still use the numbers 1, and 3 doesn't mean there is a rational number.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Hence, the decimal part follows a pattern but does not actually repeat.

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Answer:

No

Step-by-step explanation:

The rock has more mass and will therefore always have greater density than a piece of cork. This is also due to the atomic structure of the elements, molecules, and compounds that make it up.

Answer:

m = 21 - 72·i in an ordered pair =  (21, -72)

Step-by-step explanation:

Graphing complex numbers involves the application of the methodology of graphing real numbers on the coordinate plane in addition to the Argand coordinate plane to form the complex coordinate plane, such that where the complex number is of the form a + bi, the real part of the complex number, a, is taken as the x-coordinate value while the imaginary part, b, is taken as the y-coordinate value

As such to represent the complex number as an ordered pair, we have;

a + bi is equivalent to (a, b)

Therefore;

To write the complex number, m = 21 - 72·i as an ordered  pair in an Argand diagram, we have;

m = 21 - 72·i in an ordered pair =  (21, -72).

Answer:

C

Step-by-step explanation:

Let's go through each of the answer choices:

I) All real numbers are rational numbers.

This is immediately proven false by irrational numbers: real numbers that are not rational. Examples include π or √2.

II) Zero is an integer number.

This is true. Integers include the set of whole numbers, which includes 0.

III) All counting numbers are whole numbers.

This is true. Whole numbers (0,1,2,3...) is basically the counting numbers (1,2,3,...) but with 0.

IV) Irrational Numbers are not real numbers.

This is false. Real numbers can be divided into two subsets: irrational and rational.

So, our answer is C :)

Answer:

60 cm^2

Step-by-step explanation:

Answer: B) The mean will increase and the median will stay the same.

======================================================

Explanation:

Let's look at a small example of why this works.

Suppose that we had the set of 5 items {1,2,3,4,5}. The value 3 is right in the middle so this is the median. The mean is also 3 because adding all the values gets us 15 and then we divide over 5 (the number of items in the set) to get 15/5 = 3.

For any symmetric set of data like this, the mean and median are the same value.

Now let's change that last item 5 to something larger. Let's bump it up to 10

The new data set is {1,2,3,4,10}. The median is still 3 as it's still in the middle. But now the mean is (1+2+3+4+10)/5 = 20/5 = 4. The old mean was 3, and the new mean is 4. So we have the mean increased thanks to that 5 increasing to 10.

We could increase 10 to 20 getting {1,2,3,4,20}. The median is still the same. The mean is now (1+2+3+4+20)/5 = 30/5 = 6. So we've increased the mean again. This process can be continued on for as long as you like.

The outliers to the right hand side effectively pull on the mean in a similar analogy to how gravity pulls on an object. So this is one way to remember that the mean is effected by outliers. The median only cares about being in the middle so that's why it doesn't change. If we changed the number of items in the data set, then it's a different story. However, Kay is only changing her salary rather than bring on a new hire (or two).

So that small example can be applied to Kay's situation even though the numbers are much larger. The median stays the same, but Kay's (much) higher salary pulls on the mean to make it larger than it should be. This is often why a trimmed mean is used when looking at centers of data sets. For data sets that have very large outliers, the median is the more reliable measure of center.

==================================================

Work Shown:

Area of parallelogram = base*height

Area of parallelogram = 11.4*7.1

Area of parallelogram = 80.94 square cm

-------------

notes:

Answer:

Step-by-step explanation:

[tex]A = b \times h\\b = 11.4\\h = 7.1\\\\A = 11.4\times 7.1\\\\Area = 80.94[/tex]

Answer:

19.05 knots average per hour

Step-by-step explanation:

Distance traveled = 200 nautical miles

Time taken = [tex]10\frac{1}{2}[/tex]  hours = [tex]\frac{10\times2+1}2=\frac{21}{2}[/tex] hours

To find:

How many knots did the ship average each hour ?

Solution:

Here, we are given the distance traveled and total time taken to travel the distance.

As per question statement, we have to find the average speed of the ship.

Formula for average speed is given as:

[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]

Putting the values in the formula:

[tex]\Rightarrow \text{Average Speed = }\dfrac{200}{\frac{21}{2}}\\\Rightarrow \text{Average Speed = }\dfrac{200\times 2}{21}\\\Rightarrow \text{Average Speed = }\dfrac{400}{21}\\\Rightarrow \text{\bold{Average Speed = 19.05 nautical miles per hour}}[/tex]

It is also given that 1 nautical mile per hours is equal to one know.

Therefore, the average speed can be written as:

19.05 knots average per hour

Answer:

the answer is 22/9 .

Step-by-step explanation:

convert the mixed fractions into improper fractions and then divide the ratios

Answer:

It is 15

Step-by-step explanation:

A. on edge

Total number of animals for which (p ∪ q) ∩ r is true is 15.

What is meant by union of sets?

The set that contains all the elements present in both sets is the union of the two supplied sets.

Here,

It is given that,

Set p is {2, 5, 8, 9}

Set q is {2, 4, 7, 5}

Set r is {2, 4, 6, 9}

The union of p and q, which includes all creatures that are in p, in q, or in both p and q, is known as p ∪ q.

p ∪ q = {2, 4, 5, 7, 8, 9}

The creatures that must be present in both (p and q) and r are contained in (p ∪ q) ∩ r.

So, (p ∪ q) ∩ r = {2, 4, 9}

Therefore,

2 + 4 + 9 = 15

Hence,

Total number of animals for which (p ∪ q) ∩ r is true is 15.

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Attaching the image file here.

[tex]\huge{\underline{\mathfrak{Question:-}}}[/tex]

» [tex]\dfrac{3}{20}[/tex] convert it to decimal and percentage 62.5% convert it to decimal and fraction.

[tex]\huge{\underline{\mathfrak{Solution:-}}}[/tex]

= [tex]\dfrac{3}{20}[/tex]

= 3 ÷ 20

= 0.15

Now,

We know that,

= 62.5%

= [tex]\dfrac{625}{100}[/tex]

= 6.25

Here, now for the fraction one,

= [tex]\dfrac{625}{100}[/tex]

= [tex]\dfrac{625÷5}{100÷5}[/tex]

= [tex]\dfrac{125÷5}{20÷5}[/tex]

= [tex]\dfrac{25}{4}[/tex]

And, the answer in fraction comes [tex]\dfrac{25}{4}[/tex]

Answer:1. 0.15

1. 15

2. 0.625

2. 5/8

Step-by-step explanation:

Answer:

c x 3 = ?

Step-by-step explanation:

you would get how many boxes you have solded then multiply it by 3

we are using c for boxes of candy.

The notation will be 3 × c = R .

A candy is being sold at $3 for school fundraiser.

If c is no. of boxes of candy then we have to find Revenue R.

What will be the value of 10 pens if one pen costs $3 ?

The cost of 10 pens will be 10 × 3 = $ 30 .

As per the question ;

Price at which candy is being sold is $3 per box.

So ,

price of 1 box = $3

price of c boxes = 3 × c

This is equal to total revenue from school fundraiser.

i.e., 3 × c = R

Thus , the notation will be 3 × c = R .

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Answer:

Step-by-step explanation:

Given two coordinates (x₁,x₂) and (y₁,y₂), their midpoint (w,y) is expressed as:

M(X,Y) = [tex](\dfrac{x_1+w}{2}, \dfrac{y_1+y}{2})[/tex]

From the question, we are given the midpoint (X,Y) to be (2,2) and one endpoint as (1, -2) and we are to find the other end point expressed as (w,y). From the coordinates given, i can be seen that X = 2, Y =2, x₁ = 1 and y₁ = -2

Substituting the given end points into the given formula to get the other end points, we will have;

[tex]X = \dfrac{x_1+w}{2} \\2 = \dfrac{1+w}{2} \\cross\ multiply\\4 = 1+w\\w = 4-1\\w = 3[/tex]

Similarly;

[tex]Y = \dfrac{y_1+y}{2} \\2 = \dfrac{-2+y}{2} \\cross\ multiply\\4 = -2+y\\y = 4+2\\y = 6[/tex]

Hence the other endpoint (w, y) is (3,6)

The domain of a function is the input value.

In the above formula the domain would be the value of p, which is the number of people at the game.

The capacity of the stadium is 650 people, so they can have anywhere from 0 people to 650 people at the game.

The domain would be [0,650]

Answer:6.00

Step-by-step explanation:

yes

Answer:

Hey there!

-3.4x-5.7x+4

-9.1x+4

Let me know if this helps :)

Answer:

3.39g

Step-by-step explanation:2.69+0.7=3.39g

Answer:

66%

Step-by-step explanation:

To find the percentage, we can use this formula:

Part/Whole

In this case, the Part=Seniors and Whole=All of the students in the class

Part/Whole

23/(23+12)

=23/35

=0.65714

=0.66

=66%

Answer:

-3,-2

Step-by-step explanation: