() A bookmark has an area of 160 square centimeters. Its perimeter is 56 centimeters.
What are the dimensions of the bookmark?

Answer:

Step-by-step explanation:

Answer: 1.3333333333....

Step-by-step explanation: 16 divided by 12 is 1.3333333333333333333333333333333333333333333333333333333333333333333333333333..................................................................

If Mary spent 16 dollars for 12 magazines, it would be $1.33 for each.

The carpenter will not be able to complete his work because the ladder reach 14.1 ft up the wall.

In this question, we have been given a carpenter has a 15 foot ladder. For safety, the bottom of his ladder must be placed 5 feet from the wall.

Consider the following diagram.

In right triangle ABC, AC represents the length of the ladder, CB is the distance between wall and the bottom of the ladder.

Using Pythagoras theorem,

AC² = AB² + BC²

15² = 5² + AB²

225 - 25 = AB²

AB = √200

AB = 14.1 ft                  ............(1)

We have been given that in order to complete his work, the ladder must reach 14.5 feet up the wall.

From (1), we can see that the ladder will reach 14.1 ft up the wall.

This means, under these conditions, the carpenter will not be able to complete his work.

Therefore, the carpenter will not be able to complete his work because the ladder reach 14.1 ft up the wall.

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Answer:

find prime numbers between 1-20:

= 2,3,5,7,11,13,17,19

=8 prime numbers

probability of winning = 8/20=2/5

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mixed expression as a rational expression will be  [tex]\frac{2g+9}{g}[/tex]

In mathematics, a fraction is a number that is expressed as a quotient in which the numerator and denominator are divided. In a simple fraction, both are integers. A complicated fraction contains a fraction in either the numerator or denominator. Any fraction that is right has a numerator that is less than its denominator.

to convert mixed fraction into rational fraction

we multiply denominator with whole number and add it with numerator and the result of this gives numerator . and the denominator is same as mixed fraction .

so for the given expression ,

2 * g + 9 is numerator

and g is denominator .

= [tex]\frac{2g+9}{g}[/tex]

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The value of the smiley face given the values of the rectangle, triangle and star is 908.

In order to solve this question, take note of the BODMAS rule. The BODMAS rule gives the order in which mathematical operations should be solved.

The value of the rectangle would be determined first using the third equation provided in the question. let a represent the value of a rectangle.

(4 x a) + (2 x a) - (3 x a) = 15

4a + 2a - 3a = 15

3a = 15

a = 15 / 3

a = 5

The next step is to determine the value of the triangle. The second equation would be used. Let b represent the value of the triangle.

(3 x 5) + (4 x b) = 47

15 + 4b = 47

4b = 47 - 15

4b = 32

b = 32 / 4

b= 8

Now, determine the value of the star using the first equation. Let the value of the star be represented with c.

5 + (3 x 8) - c = 17

5 + 24 - c = 17

29 - c = 17

c = 29 - 17

c = 12

Now, the value of the smiley face can be determined using the last equation:

12 x (8  + 12 - 5) + 8(8 . 12 - 5)

12 x (15) + 8(91)

180 + 728 = 908

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40 millimeters; the ocean will have risen each year for the next 25 years.

ocean’s level is currently rising at about 1.6 millimeters per year.

create an application that displays the number of millimeters that the ocean will have risen each year for the next 25 years.

IN, 1 year  —>   1.6 millimeters;

25 years  —> 25*1.6 millimeters;

= 40 millimeters;

40 millimeters; the ocean will have risen each year for the next 25 years.

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The dimensions are 24 by 13.5 cm

The given parameters are

Length = 3 cm less than twice the width

This means that

L = 2W - 3

Where

L represents Length and W represents Width

The perimeter is given as

P = 75 cm

The perimeter is calculated as

P = 2*(L + W)

So, we have

2*(L + W) = 75

This gives

2*(2W - 3 + W) = 75

Evaluate

2*(3W - 3) = 75

Divide by 2

3W - 3 = 37.5

So, we have

3W = 40.5

Divide by 3

W = 13.5

Recall that

L = 2W - 3

So, we have

L = 2 * 13.5 - 3

Evaluate

L = 24

Hence, the dimensions of the rectangle are 24 by 13.5 cm

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The statements below to explain two ways to convert miles to kilometers is

Unit conversion can be described as the conversion that can be made to convert an item in a particular unit to another unit.

From above the conversion rate for the conversion of miles to kilometer and there conversion of kilometer was given , which can be used in making the conversion.

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After Applying Laws of Exponents we can write as [tex](6yz)^{-4}[/tex]

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.

Exponents with distinct bases and the same powers can be multiplied by multiplying the bases and writing the power outside of the brackets.

[tex]a^{n}[/tex] .[tex]b^{n}[/tex] =[tex](a.b)^{n}[/tex]

=[tex]3y^{-4}[/tex] . [tex]2z^{-4}[/tex]

=[tex]3y^{-4}[/tex] . [tex]2z^{-4}[/tex]

= [tex](6yz)^{-4}[/tex]

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Answer:

2*2*2

That's the prime product of their common factors

The function which has a graph with the largest positive x-intercept is C. f(x) = 2(x-8) +1

The value of the x coordinate at the point where the graph crosses the x-axis is known as the x-intercept for any curve. Alternatively, we can say that the x-intercept is the value of the x coordinate at the point where the value of the y coordinate equals zero.

Let y be 0, so lets find the x-intercept of

A. 2(x+5)-1 = 0                                    

⇒ 2(x+5) = 1

⇒ 2x + 10  = 1

⇒ 2x  = -9

⇒ x = -9/2

B. 8(x+8) = 0

⇒ x+8 = 0

⇒ x = 0 −8

⇒ x = −8

C.  2(x-8) +1 = 0

⇒ 2x − 15 = 0

⇒ 2x = 15

⇒ x = 15/2

⇒ x = 7.5

D. 13(x-3) = 0

⇒ x − 3 = 0/13

⇒ x − 3 = 0

⇒ x = 0 + 3

⇒ x = 3

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Total surface area of cylinder is 303.34 [tex]cm^{2}[/tex]

A cylinder is a 3D solid shape made up of two bases that are parallel and identical and are connected by a curved surface. These bases resemble spherical disks. The axis of the cylinder shape is a line drawn through the center or connecting the centers of two circular bases.

The surface area of a cylinder is

SA = [tex]2\pi r^{2}[/tex] + 2πrh

where:

r = radius

h = height

This formula comes from adding the areas of the surfaces of the cylinder.  It has two flat circular faces and a rounded face.

If we cut the cylinder from the circular face symmetrically, the surface area for one piece will be

SA = 2[[tex]\frac{\pi r^{2} }{2}[/tex]]  +  ([tex]\frac{2\pi r}{2}[/tex])h  +  2rh

We will have 2-half flat circular faces, a flat rectangular surface, and half of the rounded surface.

Simplify the SA formula.

SA = [tex]\pi r^{2}[/tex] + πrh + 2rh

SA = r(πr + πh + 2h)

Substitute the values into this formula.

SA = 3(3π + 8π + (2×8))

SA = 3(11π + 16)

SA = 33π + 48

SA = 151.67[tex]cm^{2}[/tex]

Since we have 2 pieces, multiply this result by 2.

2(151.67[tex]cm^{2}[/tex]) = 303.34[tex]cm^{2}[/tex]

Total surface area is 303.34[tex]cm^{2}[/tex]

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From the inequality concept ( -7 / 10) > ( -5 / 6).

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given fractional numbers are -5/6 and -7/10. The numbers in the form of inequality will be calculated as:-

-7 / 10 = -0.7

-5 / 6 = -0.84

-0.7 > -0.84

-7 / 10 > -5 / 6

Therefore, from the inequality concept ( -7 / 10) > ( -5 / 6).

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The equation that represents the lines through (2, -4) and (0, 4) is y = -4x + 4

It is crucial to note that the equation of a line is expressed as;

y = mx+ c

Where;

From the information given, we have the point as;

(2, -4) and (0, 4)

Now, let's determine the slope

The formula for determining the slope or gradient of a line is expressed as;

Slope, m = y2 - y1/x2 - y1

Now, substitute the values into the formula

Slope, m = 4 -(-4)/0 -2

expand the bracket

Slope, m = 4 + 4/-2

Add the values

Slope, m = 8/-2

Slope, m = -4

To determine the intercept, use the points of x and y

-4 = -4(2) + c

expand the bracket

-4 = -8 + c

c = -4 + 8

c = 8

The equation of the line is;

y = -4x + 4

Thus, the equation of the line is y = -4x + 4

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In the form exponent function zⁿ, the above equation z⁷/z⁻¹⁴ would equal z²¹.

The term "exponential function" refers to a function whose expression calls for the input to exist as an exponent (power) of some constant. The following describes their typical form. There are numerous equivalent forms in which they are written.

The negative exponent rule instructs us to place a number with a negative exponent in the denominator and the opposite is also true.

State product of power property of exponents.

Keep the bases the same when multiplying two bases with the same value, and then add the exponents to find the answer.

[tex]\frac{z^7}{z^{-14}}[/tex]

[tex]\frac{z^7}{z^{-14}}[/tex]

[tex]z^{7-(-14)}[/tex]

z²¹.

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After evaluating the algebraic expression we can infer that both students were correct.

An algebraic expression in mathematics is one that was produced utilizing integer variables, constants, and algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

On the other hand, transcendental numbers, such and e, are not algebraic because they are not generated from integer constants and algebraic operations. While the definition of e necessitates an infinite number of algebraic operations, the creation of is frequently done as a geometric expression .

If an expression can be converted into a rational fraction using the characteristics of the arithmetic operations, it is said to be rational expression (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions).

The expression 5a/2a+3 is the quotient of the terms as it can be written as 5a ÷ ( 2a+3 ).

Again the expression 2a +3 is a sum with only two terms.

Hence both students were correct.

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After evaluating the algebraic expression we can infer that both students were correct.

An algebraic expression in mathematics is one that was produced utilizing integer variables, constants, and algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

On the other hand, transcendental numbers, such and e, are not algebraic because they are not generated from integer constants and algebraic operations. While the definition of e necessitates an infinite number of algebraic operations, the creation of is frequently done as a geometric expression .

If an expression can be converted into a rational fraction using the characteristics of the arithmetic operations, it is said to be rational expression (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions).

The expression 5a/2a+3 is the quotient of the terms as it can be written as 5a ÷ ( 2a+3 ).

Again the expression 2a +3 is a sum with only two terms.

Hence both students were correct.

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70 people can get share from the chocolate.

Real estate investment trusts, limited partnerships, and mutual funds all employ shares as a sort of unit. A share is an immovable unit of capital that symbolizes the ownership connection between the company and the shareholder. The denominated value of a share is its face value, which could not be the same as the share's market value.

The capital of a firm consists of the whole face value of its issued shares.

Total amount of chocolate purchased = 10 kg

Amount of chocolate each friend want =1/7 kg

So, number of people who can get share = 10 / (1/7)

                                                                     = (10×7)/1

                                                                     = 70 people

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Subtracting 1 from the parent function will transform the function in the following way: b Subtracting 1 from the parent function shifts the function down one unit

This refers to as movement of object in an organized way such that the movement can always be calculated from the initial position.

The movement involved in transformation on images is ordered and there are some terms used to classify such movements. some of the terms are:

The movement done in the question is a translation. This is a linear movement towards a particular direction.  the movement is translation is usually:

Subtracting 1 from the parent function. the parent function as used refers to the y direction hence option b is the correct answer

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The trials in a binomial experiment are the steps. the likelihood of each trial being successful is. What is the likelihood of success? The probability of success is P=1.42.

The binomial distribution is used to summarise the number of trials or observations where each trial has the same probability of attaining a certain value.. When flipping a coin, the probability of witnessing a certain number of successful outcomes in a specified number of trials is determined by the binomial distribution; as there are only two possible outcomes, the likelihood of flipping a coin is 12 or 0.5 for each trial we do.

based on the facts provided;

here ,

n=500 ,p=0.4,q=0.6, X=number of successes

when n*p and n*q>5 then we can use normal approximations

here n*p=500*0.4=200 >5 ,n*q=500*0.6=300>5

so we can use normal approximation

mean =200

variance =200*0.6=120,

std. deviation=120^1/2

we need to find

P(185<=X<=220), applying continuity correction factor

P(184.5<=X<=220.5)

Z=(X-mean)/std. dev~N(0,1)

P((184.5–200)/10.95<=Z<=(220.5–200)/10.95)

=P(-1.42<=Z<=1.87)

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Answer:

they require the use of fractions.

Step-by-step explanation:

sum means to add both numbers

difference means to subtract the small number from the big number

quotient means to divide

product means to multiply

24. 13-9= 4

not sure what you meant by q23 and q25.

19. the sum of twelve and sixteen divided by the sum of three and four = 4

20. the difference of twenty-two and six divided by the sum of five and three = 2

21. the sum of thirty-six and fourteen divided by the product of two and five = 4

22. the quotient of thirty-two and four divided by the sum of one and three = 2

23. the sum of six and fifteen divided by 24 = 21/24

24. the difference of thirteen and nine = 4

25. the difference of thirty-one and seventeen divided by the product of ten = 7/5 = 1.4

Answer:

The correct answer is 57. 4^3 was misidentified as 4×3.

Step-by-step explanation:

[tex] {4}^{3} - 7 = 64 - 7 = 57[/tex]

The correct answer is that y does not vary directly with x.

If y and x are directly related, then the equation y=kx would be true for each point in the set.

What is the explanation:

If y is directly related to x, then every point in the set would fit the equation y=kx.

For the first point, we would have 11=7k, which would imply that k=11/7.

For the second point, we would have 13=8k, which would imply that k=13/8.

By utilizing proportions to check, we can see that 11/7 does not equal 13/8.

Cross multiplying yields 11*8=7*13, or 88=91

Since this is untrue, k is not a constant and y does not change in accordance with x.

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The relationship between translations, reflections, and rigid motion is that they are all types of rigid motions, which means their size does not change.

Rigid motion is the movement of a set in which the distance between points remains constant.

Translation is a type of rigid motion in which an object simply slides while maintaining its direction.

A reflection, like a mirror, causes an image to flip to another location.

We must establish a connection between translations, reflections, and rigid motion.

We can conclude from the above definitions that the size of the object remains constant, but it is undergoing different transitions.

Therefore, Translations, reflections, and rigid motion all belong to the category of transformations that are rigid motions, which means that their sizes don't change.

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Margie can make 13 bows with her ribbon.

In the US, a foot is used to measure length or distance. "Feet" is the plural form of the single unit of measurement known as "foot." Foot or feet are denoted by the letter ft.

Margie has 15 feet of ribbon.

To make a bow for a bouquet, it takes 7/8 of a foot of ribbon for a bouquet.

1 bow = 7/8 × 1 foot

Therefore, the number of bows Margie can make with the ribbon will be:

Number of bows = 7/8 × 15 feet

Number of bows = 13.125 ≈ 13

Hence, Margie can make 13 bows with her ribbon.

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Answer:

136 ,24 ,180 ,34

Step-by-step explanation:

Answer:

Given diameter (D) = 12Radius = D = 26Circumference = πD= 12π= 37.699111843078Area = π(D)22= 36π= 113.09733552923

If Maran made 160 candy apples, spending $120 on ingredients and supplies while selling all the candy apples for $480, then the two statements that are true are:

B. Maran spent $0.75 on each candy apple (Cost Price), and

E. Maran sold each candy apple for $3 (Selling Price).

As per the question statement, Maran made 160 candy apples, spending $120 on ingredients and supplies while selling all the candy apples for $480.

We are required to identify the two true statements from a the set of 5 statements, provided in the question itself, related to the per candy cost price, sell price and profit of Maran.

Since he made 160 candy apples, spending $120 on ingredients and supplies, therefore, the cost price of per candy will be $(120/160) = $0.75, i.e., Statement B that Maran spent $0.75 on each candy apple is True.

Also, he sold all 160 candies for a total of $480, therefore, the sell price of each candy is $(480/160) = $3. Hence, Statement E that Maran sold each candy apple for $3., is also true.

Now, since the cost price of each candy is $0.75 and the sell price of the same is $3, then Maran made a profit of $(3 - 0.75) = $2.25 per candy. But statement D mentions that Maran earned a profit of $3 on each candy sold, which is false.

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