Two children share 2 1/2 chocolate bars with each child getting the same amount how much does each child get?

The last division operation of Corky is incorrect.

What is properties of equality?

The attributes of the equality connection, reflexivity, symmetry, transitivity, and the attributes of operations are employed to solve equations. These characteristics hold true in mathematical and algebraic expressions just as they do in propositional language.

Consider, each operation of Corky.

Addition:

3 + 4 = a, then

(3 + 4) + 2 = a + 2

This is the correct equality.

Subtraction:

3 + 4 = a, then

(3 + 4) - 2 = a - 2

This is the correct equality.

Multiplication:

3 + 4 = a, then

4(3 + 4) = 4a

This is the correct equality.

Division:

3 + 4 = a, then

(3 + 4)/2 = a/2

But in the properties 2/a is given.

Therefore, the division property of equality is incorrect.

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Answer: 2560 eyeshadows

Step-by-step explanation:

512x5

Answer: 2560

Step-by-step explanation: First we can set up a proportion: [tex]\frac{5}{1} =\frac{x}{512}[/tex]

Then we can multiply 5 and 512, which gets us 2560. That's the answer, but for a different proportion, you would divide the last number, but in this case, since the last number's one, nothing changes.

hope this helps!

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The ordered pair that are solution of the equation 3x-y= 1 is (−2, −7) , (−1, −4)

and  (3, 8)

What is ordered pair ?

An ordered pair is a set of two things in mathematics. The pair's objects must appear in a specific order for them to be considered distinct from one another, unless a = b. Ordered pairs are also referred to as 2-tuples, or sequences with a length of 2.

Checking the equation by putting the values of x and y in the given options

1. (-2,-7)

LHS

=3*(-2) - (-7)

= -6+7

=1

LHS = RHS

2. (-1,-4)

LHS

=3*(-1) - (-4)

= -3+4

=1

LHS = RHS

3. (0,1)

LHS

=3*(0) - (1)

= -1

=-1

LHS [tex]\neq[/tex] RHS

4. (3,8)

LHS

=3*(3) - (8)

= 9-8

=1

LHS = RHS

5. (4,2)

LHS

=3*(4) - (2)

= 12-2

=10

LHS [tex]\neq[/tex] RHS

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[tex]r=7\cos \theta \implies r^2=49\cos^2 \theta=7r \cos \theta \\ \\ \therefore x^2+y^2=7x \\ \\ x^2-7x+y^2=0 \\ \\ x^2-7x+\frac{49}{4}+y^2=\frac{49}{4} \\ \\ \left(x-\frac{7}{2} \right)^2+y^2=\frac{49}{4}[/tex]

So, the graph is a circle centered at [tex](7/2, 0)[/tex] with a radius of 7/2. Thus, the graph is C.

The area is thus [tex](7/2)^2 \pi=\frac{49\pi}{4}[/tex]

A test statistic is a figure obtained from a statistical analysis.It explains how far the observed data is from the null hypothesis, which states that there is no correlation between the variables or difference between the sample groups.

Obtaining p values using test statistic:

Given that ; we have a standardized test statistic and α - values ;

Let's define the decision region :

If Pvalue < α ; Reject H0 ; otherwise, fail to reject H0

A.)

Left tail , Z = - 1.32 ; α = 0.10

We can use the Pvalue calculator from Z score :

Pvalue = 0.934

Pvalue > α ; Hence, we fail to reject the null, H0

B.)

Right-tailed test, z = 2.46, α = 0.01

Pvalue from Zscore calculator ;

Pvalue = 0.0069

Pvalue < α ; Hence, we reject the null, H0

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Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

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The line segment AD is congruent with DB because the corresponding parts of congruent triangles are congruent.

An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.

Draw the DM as the perpendicular bisector of AB(Assumption)

Since DM is perpendicular to AB, m∠AMD = m∠BMD = 90°.

Since DM bisects AB, AM ≅ BM. With AD≅ DB (reflexive property), ∆ADM ≅ ∆BDM by SAS.

Finally, AD≅ DB because corresponding parts of congruent triangles are congruent.

Therefore, ∆ABD must be isosceles since two of the three sides are congruent.

Thus, line segment AD is congruent with DB.

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Money borrowed from x, y, z banks on loan are $5000, $5000, $9000 respectively.

What is loan?

A loan is the lending of money by one or more people, businesses, or other entities to other people, businesses, or other entities. The recipient incurs a debt and is often responsible for both the principal amount borrowed as well as interest payments until the debt is repaid.

Main Body:

The equations formed from the information given in question are:

x+y+z = 19000

16x+18y+15z = 305000 and,

2x-y = 5000

by solving these equation we get

x= $5000

y= $5000

z= $9000

Hence the answer to this question are $5000 for x, y bank and $9000 from z bank.

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Answer:

Given (x - 7)2 = 36, the values of x are 13, 1.

The value of the variables x, y , z are 28.75° , 135.5°, and 44.5° respectively .

Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.

When two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.

Corresponding angles are equal to each other. This means that (6x/5 +10)°=z= (2x-13)°

therefore( 6x/5 +10)° =(2x-13)°

collect like terms

10+13= 6x/5-2x

23= (10x-6x)/5

multiply both sides by 5

115=4x

x= 115/4= 28.75°

z= (2x-13)°

z= 2×28.75-13

z= 57.5-13

z= 44.5

z+y= 180( sum of angles on a straight line)

y= 180-44.5

y= 135.5

therefore the values x, y , z are 28.75° , 135.5°, and 44.5° respectively .

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The linear equation is y = x+25.

What is linear equation?

An equation for a straight line is called a linear equation. The general representation of the straight-line equation is y=mx+b, where m is the slope of the line and b is the y-intercept. Linear equations are those equations that are of the first order.

Let the linear equation shown in data be written as

y = mx+b

Here, the value of m

53-45 = 8

for y,

68-60 = 8

m = 8/8 = 1

Hence,

60 = 1(45)+c

c = 25

hence, y = x +25

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Answer:

Below

Step-by-step explanation:

Since it is given this is a linear equation, we can find the slope, m, between any two points as   (y1-y2)/(x1-x2)

using the first two points  (45,60) and (53,68)  

      m = ( 60 - 68) / (45-53) = 1

 so for the slope intercept form of a line  (  y = mx + b ) we have

      y = (1) x + b     plug in any of the points to calculate 'b'  

          70 = (55) + b    shows b = 15

so you line equation becomes   y = x + 15

Answer:

Step-by-step explanation:

A day is 24 hours long, an hour is 60 minutes, and 24 multiplied by 60 is 1,440 minutes. To get the number of minutes in 30 days, we multiply 1,440 by 30 which is 43,200 minutes.

Monthly Mortgage Payment is $495.88

Mortgage is a long-term amortized loan where loan is provided to buy certain capital asset and pay back total sum due in small periodic annuities. In Mortgage title of asset lies with lender and passes to borrower after complete mortgage payment.

Hence,

Mortgage Amount is $77,000

Monthly Payment for each $1,000 is $6.44

Monthly Mortgage Payment is $495.88

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There will be $9270.71 in the account in 5 years

What is future value ?

Future value refers to an asset's value at a future time. It calculates the nominal amount of money that a certain amount of money is "worth" at a specific point in the future under the assumption of a specific interest rate, or more generally, rate of return; it is the present value multiplied by the accumulation function.

Given

PMT = $150

r =  1.2%

t = 5years

Future value , FV = PMT [tex]\frac{(1+i)^{n}-1 }{i}[/tex]

i = 0.012 /12

n = 5 *12

FV = 150 [tex]\frac{(1 +\frac{0.012}{12})^{5*12} }{\frac{0.012}{12} }[/tex]

     = 9270.71

The amount in the account in 5 years is 9270.71

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Answer:

x = 1

Step-by-step explanation:

The equation x = -5 is a vertical line through point (-5, 0) on the x-axis.

For a line to be parallel to the line x = -5, it must be a vertical line.

Since the vertical line must include the point (1, 4), then the x-coordinate of every point on that line must be 1.

The equation is x = 1.

Answer:

y = 5/6x

Step-by-step explanation:

Solve for the slope of the function by using two points from the graph.

(12,10) and (6,5)

Use the slope formula

(10-5)/(12-6) = 5/6

The y-intercept is 0 because the line crosses at (0,0) at the y-axis.

y = 5/6x + 0

The linear function tangent to the graph of f(x) = (x + 3)/(x - 8) at the point (0, -38) is:

y = -11x/64 - 38.

The slope-intercept representation of a linear function is given by the rule shown as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The line is tangent to the curve at point (0,-38), meaning that the line passes through point (0,-38), hence the intercept is given as follows:

b = -38.

Since the line is tangent to f(x), the slope of the line is the derivative of f(x) at x = 0.

The function f(x) is defined as follows:

f(x) = (x + 3)/(x - 8)

Applying the quotient rule, the derivative is given as follows:

f'(x) = [x - 8 - x - 3]/(x - 8)²

f'(x) = -11/(x - 8)²

At x = 0, the numeric value of the derivative is found replacing the lone instance of x by zero, hence:

f'(0) = -11/(0 - 8)² = -11/64.

Thus the equation of the tangent line to f(x) at point (0, -38) is given as follows:

y = -11x/64 - 38.

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1870 yards is covered if all 11 players complete the drill.

Given:

Starting at the endzone, players sprint to the 10 yard line and back, the 25 yard line and back, and finally the 50 yard line and back.

one player yards covered = 10*2+25*2+50*2

= 20+50+100

= 70+100

= 170 yards.

11 players yards covered = 11*170

= 1870 yards.

Therefore 1870 yards is covered if all 11 players complete the drill.

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The correct option regarding the residuals are given as follows:

2 negative residuals and 6 positive residuals.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

Then the residuals of this data-set in the table are given as follows:

As for each point, the actual value is given and then the predicted value.

Then the numbers of each positive and negative residuals are given as follows:

Hence the first option is the correct option.

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The consecutive odd integers such that the sum of their squares is 34 are 3 and 5.

The square of the 3 is 9.

The square of the 5 is 25.

and both are the consecutive in the number line and their sum is 34 which satisfy the given statement.

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If the sum of the digits of a two-digits number is 12. and when 15 is added to the number, the result is 6 times the unit digit. the number is 48

This is a word problem which will be used t o form equation

Let the first digit be x and the second digit be y

so that

x + y = 12

xy + 15 = 6y

from x + y = 12, x = 12 - y

substituting x = 12 - y into xy + 15 = 6y

y(12 - y) + 15 = 6y

expanding and arranging the equation gives

y^2 - 6y  - 15 = 0

solving the quadratic equation gives

y = 7.899 OR -1.899

take the positive value, y is approximately 8

plug in y = 8 and solve for x

x = 12 - y

x = 12 - 8

x = 4

Therefore the number is 48

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Step-by-step explanation:

3x = 6y - 30

6y = (6y - 30)+ 30

6y - 6y = -30 + 30

0 = 0

y = {any rational number}

The perimeter of the quadrilateral with the given coordinates is 16 square meters.

By definition, quadrilateral is a polygon that is bounded by four sides, four angles, and four vertices.

The perimeter of a quadrilateral is the distance round the quadrilateral that is A+B+C+D

Length 1 goes from (5, 2) to (10, 2)

since the y coordinate is the same

L1 = (10 - 5) = 5

Length 2 goes from (5, 5) to (10, 5)

since the y coordinate is the same

L2 = (10 - 5) = 5

Width 1 goes from (5, 2) to (5, 5)

Based on the x coordinate is the same

W1 = (5 - 2) = 3

Width 2 goes from (10, 2) to (10, 5)

Based on the x coordinate is the same: hence,

W2 = (5 - 2) = 3

The Perimeter will be:

p = 5 + 5 + 3 + 3

p = 16

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Answer:

I think so ;-;

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

1 + 2 (-4) = -7

1 - 8 = -7

-7 = -7

-4 (-4) = -1

16 = -1

Answer:

722000

Step-by-step explanation:

the last 3 digits are below 500 so you round them down to 722000.

Answer: The second 2nd is the thousand

first 2 is near to thousand because it is ten thousand

third 2 is also near to thousand because it is hundreds