Order these numbers from least to greatest.
1.2, 1.102, 1.1212, 1.12

The greatest number of rectangles 6cm×4cm that can be cut from a metal that measure 16cm×20cm is 13 rectangles.

A rectangle is a plane shape that has pair of opposite sides equala and parallel.

To calculate the greatest number of rectangles, we use the formula below.

Formula:

Where:

Ferom  the question,

Given:

Substitute these values into equation 1

Hence, the greatest number of rectangles is 13 rectangles.

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The image of the given point after the translation will be (-5,1).

The given point is (0,2).

We have to find out the image of the given point after a translation left 5 units and up to 1 units.

Since it is given that there is a translation left 5 units, starting from point (0,2), the image will be on the negative side of x-axis at point 3.

Similarly, it is given that there is also a translation up to 1 units. This implies starting from point (0,2), the image will be on the positive side of y-axis at point 1.

So, the image of the given point after the translation will be (-3,1).

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Out of all the given situations, all are fair gambles,

Any gamble is considered to be a fair gamble if the expectation of it is 0. Here, gamble means any situation which has a probabilistic uncertainty attached to it.

The expectation of any game is

E(X) = ∑xp(x)

In the first case

The probability to get a had or tails on flipping a coin is 1/2

Hence the expectation will be

E(X) = 0.5 X 10  +  0.5 X (-10)

= 5 - 5

= 0

Hence this is a fair gamble

In the next gamble, two coins are tosses

The probability to get 2 head is 1/4

The probability to get 2 tails is 1/4

The probability to get one head and one tail is 1/2

Hence,

E(X) = 0.25 X 10  +  0.25 X (-10)  +  0.5 X 0

= 2.5 - 2.5

= 0

Hence this too is a fair gamble

Here,it is given that

Probability              Gain

0.5                            $100

0.25                       - $200

0.25                           $0

Therefore,

E(X) = 0.5 X 100  +  0.25 X (-200)  +  0.25 X 0

= 50  - 50

= 0

Hence, all are fair gambles.

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Correct Question

which of the following is a fair gamble?

one coin toss: win $10 if heads, lose $10 if tails.

two coin tosses: win $10 if two heads, lose $10 if two tails, and no change of wealth otherwise.

a game in which you win $100 with a probability of 50%, lose $200 with a probability of 25%, and gain nothing with a probability of 25%.

all of the above are fair gambles.

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Answer:

3. line XZ is congruent to line XZ | reflexive property
4. triangle WXZ is congruent to triangle YZX | HL (i think)
5. angle WXZ is congruent to angle YXZ | CPCTC

Step-by-step explanation:

The slope of the graph above is [tex]-\frac{4}{3}[/tex]

The slope of a line is the change in the dependent variable with respect to the change in the independent variable. The slope of a line is rise over run.

Therefore,

slope = m = y₂ - y₁ / x₂ - x₁

Hence, using the coordinates on the graph let's find the slope of the graph.

(-2, 1)(1, -3)

Therefore,

x₁ = - 2

x₂ = 1

y₁ = 1

y₂ = - 3

Hence,

[tex]slope = \frac{-3-1}{1-(-2)}[/tex]

[tex]slope = \frac{-4}{1+2}[/tex]

[tex]slope = \frac{-4}{3}[/tex]

Therefore, the slope of the line is [tex]-\frac{4}{3}[/tex]

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Answer:

If m angle EFD = 75°, then m angle JAB = ??

C

B

A

1.

2.

Answer:

the correct answer is -32+43

Step-by-step explanation:

I just know

The required simplified solution of the given subtraction is 16/25. Option D is correct.

Given that,
To Subtract. and determine the lower terms,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= 47/50 - 3/10
= [47 - 3×5] / 50
= [47 - 15] /50
= 32 / 50
= 16 / 25

The required simplified solution of the given subtraction is 16/25. Option D is correct.

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Answer:

d) 16/25

Step-by-step explanation:

The problem is,

→ (47/50) - (3/10)

Let's solve the problem,

→ (47/50) - (3/10)

→ (47/50) - (15/50)

→ (47 - 15)/50

→ 32/50

→ (32 ÷ 2)/(50 ÷ 2)

→ 16/25

Hence, answer is 16/25.

Answer:

-6n-4+3<17

-6n-1<17

-6n<17+1

-6n<18

DIVIDE BOTH SIDE WITH THE COEFFICIENT OF n WHICH IS (-6)

-6n =18

-6 -6

n= -3

Answer:

Step-by-step explanation:

1.3

10/13=1.3

Answer:

[tex]\boxed{\sf \boxed{\sf x=\cfrac{13}{10}}\:or\: \boxed{\sf x=1.3}}[/tex]

Step-by-step explanation:

[tex]\sf 10x= 13[/tex]

Divide both sides by 10:-

[tex]\sf \cfrac{10x}{10}=\cfrac{13}{10}[/tex]

Simplify:-

[tex]\sf x=\cfrac{13}{10}[/tex]

____________________

Hope this helps!

Have a great day!

The valid conclusion about statement A and statement B is "If Figure A is a parallelogram, then Figure A’s angles sum to 360°".

The correct answer option is option D.

A conditional statement can be defined a statement that is written in the form “If A then B,” where A and B are sentences.

For this conditional statement:

Sentence A is called the hypothesis

Sentence B is called the conclusion.

Hypothesis: This is an assumption taken to be true for the purpose of argument or investigation.

Conclusion: This is the proposition that follows as a necessary consequence of the premises in an argument or syllogism.

Hence, “If A then B” means that B must be true whenever A is true.

Therefore, if a figure is a parallelogram, then it is a quadrilateral; If a figure is a quadrilateral, then its angles sum to 360°.

It can be concluded that if a figure is a parallelogram, then it's angles must sum to 360°.

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The transformation rule used to transform Triangle PQR to P'Q'R' is; (x, y) → (⁵/₂x, ⁵/₂y)

We are told that the triangle P'Q'R' has been transformed from triangle PQR.

Now, the coordinates of triangle PQR are;

P(-1, 1)

Q(2, 0)

R(-1, -2)

The coordinates of the transformed triangle P'Q'R' are;

P(-5/2, 5/2)

Q(5, 0)

R(-5/2, -5)

Thus, this is clear that the transformation rule used is;

(x, y) → (⁵/₂x, ⁵/₂y)

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Answer:

*Note: Perimeter is equal to the sum of all side lengths

1.   3cm + 3cm + 5cm + 4cm = 6cm + 9cm = 15cm

2.   3.5cm + 3cm + 3.5cm + 3.5cm + 3cm + 3.5cm

      = 6cm + 7cm + 7cm = 6cm + 14cm = 20cm

3.   2cm + 3cm + 3cm + 3cm + 5cm + 6cm = 5cm + 6cm + 11cm

      = 11cm + 11cm = 22cm

7.   9cm + 9cm + 9cm = 27cm

8.   Perimeter of a rectangle = 2 times the length plus 2 times the width

     P = 2(60m) + 2(48m) = 120m + 96m = 216m

9.   1 roll of 16m of wire = $3,214

     216m/16m = 13.5 rolls of wire

     13.5 rolls($3,214) = $43,389

The distance around the bases in meters will be 27.432 meters.

How many meters are in 1 feet?

In one feet there are 0.3048 meters.

Given is a baseball field measures 90 feet between each base.

Distance between each base in feet = [d] = 90 feet

The distance between each base in meters will be -

D [meters] = 90 x 1 ft

D [meters] = 90 x 0.3048 meters

D [meters] = 27.432 meters

Therefore, the distance around the bases in meters will be 27.432 meters.

The standard form of the equation y = -2/3 x - 1 is 2x + 3y = -3.

The standard form for linear equations in two variables is Ax + By = C. Where,

The equation is represented in slope intercept form. So, let' represent it in standard form.

Therefore,

y = - 2 / 3 x - 1

add 2 / 3 x to both sides of the equation

y = - 2 / 3 x - 1

y + 2 / 3 x  = - 2 / 3 x + 2 / 3 x - 1

y + 2 / 3 x  = - 1

Let's multiply all through by 3 to eliminate the fraction

y + 2 / 3 x  = - 1

3y + 3(2 / 3 x) = -3

Therefore, the standard form equation is 2x + 3y = -3

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The total cookies she baked altogether is 28 cookies

A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.

Half of the cookies is placed on the table, 6 is eaten by my dog, half is eaten by my brother and I ate the last 4, the means my brother ate 4 cookies too.

Therefore the total cookies put on the plate is 6+4+4= 14cookies

half of all the cookies were put in the plate,

therefore the total cookies made is 14×2= 28cookies.

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Answer: -1

Step-by-step e

The height of the sunflower after 9 weeks is 52 inches and the function that represent the height of the sunflower after w weeks = 25 + 3w weeks.

Sophia planted a tiny sunflower in her backyard at the start of spring.

When she planted the sunflower,

The height of the sunflower = Initial height of the sunflower = 25 inches.

Now, The sunflower then began to grow at a rate of 3 inches per week.

Thus, the growth rate of the sunflower = 3 inches/week

The growth in 9 weeks = 3*9 = 27 inches,

The height of the sunflower after 9 weeks = initial height + growth = 25 +27 = 52 inches.

The growth in w week = 3w inches,

The height of the sunflower after w weeks = initial height + growth = 25 + 3w inches.

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The amount to be invested today in order to have $600 in 20 years is $189.66.

When an account pays interest that is compounded quarterly, it means that both the amount invested and the interest that has already been earned increases in value four times in a year.

In order to determine the amount to be invested today, determine the present value of $600.

The formula for calculating present value:

P = FV / [(1 + r)^nm]

Where:

P = 600 / [(1.0145)^80] = $189.66

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Answer: it is 200

Step-by-step explanation:

Answer:

add 54 to the numerator and 61 to the denominator because after you add it the fraction, it should be 60/90: simplified to 2/3 if you divide the numerator and denominator by 30.

The number that must be added to the numerator and denominator is 40.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Fraction = 6/29

The new fraction = 2/3

Now,

(6 + x)/(29 + x) = 2/3

3(6 + x) = 2(29 + x)

18 + 3x = 58 + 2x

3x - 2x = 58 - 18

x = 40

Thus,

The number x is 40.

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The answers are:

Q1 = x < -1

Q2 = x ≤ 2

Q3 = x > -2

Q4 = x > 0

Code = 4776

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Solve for x.

3 < -5x + 2x

3 < -3x

Divide both sides by 3.

1 < -x

Change sign.

x < -1

18 ≥ 5x  + 4x

18 ≥ 9x

Divide both sides by 9.

2 ≥ x

-6x - 16 < 2x

Add 16 on both sides.

-6x < 2x + 16
Subtract 2x on both sides.

-6x - 2x < 16

-8x < 16

Divide both sides by 8.

-x < 2

Change sign.

x > -2

(1/2)x - 4 > -4

1/2x > -4 + 4

1/2x > 0

x > 0

Code = 4776

Thus,

The answers are:

Q1 = x < -1

Q2 = x ≤ 2

Q3 = x > -2

Q4 = x > 0

Code = 4776

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Answer:no image I can’t see on mobile

Step-by-step explanation:

h

Answer:1712

Step-by-step explanation:  is 1712

The measure of the smallest angle of the quadrilateral is  60° .

In the question ,

it is given that ,

the angle measure of the quadrilateral are in the ratio 4 : 5 : 6 : 9 .

So , the measure of the largest angle is = 9x

and the measure of the smallest angle is = 4x .

we know that the sum of the measure of all the angles of the quadrilateral is 360° .

that means ,

4x + 5x + 6x + 9x = 360°

24x = 360

dividing both sides by 24 ,

x = 360/24

x = 15 .

the smallest angle is = 4(15) = 60°

Therefore ,  The measure of the smallest angle of the quadrilateral is  60° .

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The expression a⁷- a is divisible by 7 if a is an integer.

Given that,

7 divides a^7−a

To find that if a is an integer, then 7 divides a^7 -a or a⁷- a is divisible by the number 7

We can write, where k is an integer

a^7−a=7k

a(a^6−1)=7k

Now if a=k then

a^6−1=7

a^6=8

and a=±1.414 so a^7−a=9.898

If a is not equal to k then

a(a^6−1)=a(a^3+1)(a^3−1)=7k

since a(a+1)(a−1) is the not product of 3 consecutive integers, the expression is divisible by 7.

Hence, The expression a⁷- a is divisible by 7 if a is an integer.

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Using x only once in the inequality, the inequality expression is 8 > x > 2

The mathematical statement is given as

8 is greater than x, and x is greater than 2.

In mathematical expressions, greater than can be represented as >

So, we have the following representations

8 > x, and x > 2

Next, we combine the inequality expressions

This becomes

8 > x > 2

Hence, the inequality expression is 8 > x > 2

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Solving each pair of expression shows that

(1/5)^2 + 1 ≠ 2 * 12 / 25

( 1 + 1/4 )^2 = 2 - 7/16

Putting equals sign implies that the the expression in left hand side of the equation is equal to the expression on the right hand side

If they are not equal the sigh to be used is not not equal to

(1/5)^2 + 1 & 2 * 12 / 25

1/25 + 1 & 24/25

26/25 ≠ 24/25

( 1 + 1/4 )^2 & 2 - 7/16

(5/4)^2 & 25/16

25/16 = 25/16

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Answer:

(-1,3)

Step-by-step explanation:

x+4y=11

 -4y.  -4y

x=11-4y

3(11-4y)+5y=12

33-12y+5y=12

33-7y=12

-33.    -33

-7y=-21

/-7.  /-7

y=3

x+4(3)=11

x+12=11

-12.  -12

x=-1

Hopes this helps please mark brainliest

Answer:

x= −1 and y= 3

Step-by-step explanation:

Step One: Rewrite Equations

x+ 4y = 11

3x +5y = 12

Step Two: Solve x +4y = 11 for x:

x +4y = 11

x +4y + −4y = 11 + −4y (Add -4y to both sides)

x = −4y +11

Step Three: Substitute −4y +11 for x in 3x +5y = 12:

3x +5y = 12

3(−4y +11) +5y = 12

−7y +33 = 12 (Simplify both sides of the equation)

−7y +33 +−33 = 12 +−33(Add -33 to both sides)

−7y = −21

(-7y/-7) = (-21/-7) (Divide both sides by -7)

y = 3

I sincerely hope this helped you, good luck on your assignment!

The amount Heidi earned in commission is $30 and the amount store made from her sale is $720.

We will solve the given problem using percentages.

We are given the following;

A salesperson at a jewelry store eams 4% commission each week.

Last week, Heidi sold $750 worth of jewelry.

We need to find the amount Heidi earned in commission and the amount store made from her sale.

Let us find the amount Heidi earned in commission;

$750 * 4% = 750 * 4 / 100 = 7.5 * 4 = 30

So, Heidi earned $30 from the commission.

Let us find the amount store made from her sale;

The amount store earns

= The total amount of sales - commission of Heidi

= $750 - $30

= $720

So, the store earns $720.

Thus, the amount Heidi earned in commission is $30 and the amount store made from her sale is $720.

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The side lengths of the fence he can build with the greatest area inside are of:

75 yards and 75 yards.

Considering a rectangle of length l and width w, we have that the area and the perimeter of the rectangle are given as follows:

A farmer has 300 yards of fencing, hence the perimeter is:

P = 300.

Then:

2(l + w) = 300

l + w = 150

l = 150 - w.

Then the equation giving the area of the fence is:

A = lw

A = w(150 - w)

A = -w² + 150w.

Which is a quadratic equation with coefficients given by:

a = -1, b = 150.

The width that will give the highest possible area is the x-coordinate of the vertex, hence:

w = -150/(2(-1)) = 75 yards.

The length is of:

l = 150 - w = 150 - 75 = 75 yards.

Which means that the third option is correct.

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