(−x
2
−2x−2)(x
2
+x−3)

Answer:

Perimeter = 2(length) + 2(width)

Perimeter = 2(17.4x - 0.8) + 2(6X)

Perimeter = 34.8x - 1.6 + 12x

Perimeter = 46.8x - 1.6

Answer:

The first step when multiplying fractions is to multiply the two numerator. The second step is to multiply the two denominators. finally, simplify the new fractions. The fractions can also be simplified before multiply by factoring out common factors in the numerator and denominator.

example equation: 3/4 x 2/5

1) line equation

3 2

_x_

4 5

2) nominators x nominators, denominators x denominators

3 2 6

_x_=_

4 5 20

4) simplify

6/20=3/10

good luck !!

Answer:

(4, -1)

Step-by-step explanation:

See attached image.

The scale that is being used on the image is 1:7

From the question, we are to determine the scale that is being used on the image.

From the given information,

The image of the book shown on the website is 1.5 inches wide and 3 inches tall

Also, we have that

The actual width of the book is 10.5 inches

The scale = Width of the book on the website / Actual width of the book

Thus,

Scale = 1.5 inches / 10.5 inches

Scale = 1/7

∴ Scale = 1 : 7

Hence, the scale that is being used on the image is 1:7

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The volume of cube in cm is (4cm)

Volume of cube is =96 CM^2

Let's consider he as the edge of cube

Surface area of is =6

That is symbol cube as (e^2)

As per the given question the surface are of cube is given as 96 cm^2

As we know

96=6^2

e^2=96/6

e^=16

e=√16

e=4cm

The volume of cube in centimetre is 4cm

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Answer: 164.53%

Step-by-step explanation:

105.3/64=1.6453125

1.6453125*100=164.53125

164.53125=164.53%

Notice the answer is greater than 100 percent. This is because 105.3 is greater than 64, meaning that 105.3 is greater than 100% of 64, so 105.3 will have a greater percent value.

The least possible average (arithmetic mean) of the 21 integers is 6.

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Answer:

Step-by-step explanation:

d. Square root of 9

you’re welcome :)

The irrational number is 0.2535455565.....

The correct option is D.

Given, that identify the irrational number.

Irrational number : Irrational numbers are non terminating and non repeating.

1) Square root of 9: √9

= 3

It is rational number.

2) Number : 0.123123123....

It is Non terminating but repeating thus it is not an irrational number.

3) Fraction : 5/9

5/9 = 0.555555..

It is a repeating number thus its is not an irrational number.

4) Number: 0.2535455565....

The number is non terminating as well as non repeating. Thus it is an irrational number.

Therefore option D is correct.

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The result of the expression "(x - y)**2 > y" is -4>6 and it is false.

Information about the problem:

To solve this problem, we have to substitute the values of (x) and (y) and solve the equation:

(x - y)**2 > y

(4 - 6)**2 > 6

-2 ** 2 > 6

-4 > 6

The expression is false because - 4 is not higher than 6. The correct expression is:

(x - y)**2 < y

-4 < 6

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

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We know that an arc is a part of the entire perimeter of a circle.

Radian is defined as a unit of plane angular measurement that is equal to the angle subtended by the circle at the center by an arc that is of the length equal to the radius

We also know that the circle as a whole contains 2π radians

Now first we are required to find the perimeter of the circle

Perimeter of the circle is given by the formula 2πr

Hence, perimeter of the circle = 2πr= 2π x 10 =20π=62.851cm

Hence value of arc in radians = 40/62.851 x 2π =0.636 x 2 π =1.272π

Radian can be converted to degree by multiplying the radian measure by 180/π

Therefore, angle subtended by arc in degrees =1.272 π x 180 /π =229.1 °

Hence the angle subtended by arc is 229.1°

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The greatest common divisor of two given numbers is 15.

Given that, the least common multiple of A and B is 1575 and A: B=3: 7.

We need to find what is their greatest common divisor.

The least common multiple is also known as LCM (or) the lowest common multiple in math. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.

We know that the product of the GCF and the LCM of two numbers is always the product of the two numbers.

Let the GCF of two numbers be x.

Then A×B=1575×x

Take A:B=3k:7k

Now, 3k×7k=1575×x

⇒21k²=1575x

⇒k²=75x

x must be expressed as a square divided by 75.

Now, 75=3×5×5

If we multiply 3 to the above product we get the perfect square number.

So, k²=225

⇒k=15

Now, 3k=45 and 7k=105

45=3×3×5 and 105=3×5×7

So, GCD=3×5=15

Therefore, the greatest common divisor of two given numbers is 15.

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Your question is incomplete, probably the complete question/missing part is:

If the least common multiple of A and B is 1575, and the ratio A of B to 3 is 7 , then what is their greatest common divisor?

Answer: 75

Step-by-step explanation:

Since the ratio of A to B is 3:7:

There is an integer k for which A=3k and B=7k.

Moveover, k is the greatest common divisor of A and B, since 3 and 7 are relatively prime.

Recalling the identity lcm(A,B)*gcd(A,B)=AB, we find that 1575k=(3k)(7k), which implies k=1575/21=75.

We can actually deduce here that the type of measurement scale that is used for operating system is: Nominal scale.

A nominal scale is actually known to be a measurement scale whereby numbers are used as “tags” or “labels” only in order to identify, locate or classify an object.

This measurement scale actually deals only with non-numeric variables. It can be used where numbers have no value.

Other measurement scales include:

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Answer:

D.

Step-by-step explanation:

First distribute:
2/3x + 4 -14/15x

2/3 = 10/15

10/15-14/15=

-4/15

-4/15 + 4

The Quadratic equation in standard form given the following roots are

f(x) = 2x^2 - 3x + 1

The root 1 is associated with the factor (x - 1).

The root 1/2 is associated with the factor (x - 1/2), which in turn is equivalent to (2x -1)

The quadratic in question is f(x) = (x - 1)(2x - 1).  To write this in standard form, perform the indicated multiplication:

f(x) = 2x^2 - 2x - x + 1, or f(x) = 2x^2 - 3x + 1

Any equation in algebra that can be written in standard form as where x is an unknown and a, b, and c denote known numbers, where a 0 is a quadratic equation.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as a[tex]x^{2}[/tex] + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

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Answer:

7

Step-by-step explanation:

8-9-6

Money Marilyn can buy 1≤ x≤5 (more than or equal to one and less than or equal to five) cups of lemonade from the rest of the money.

Here we have,

Total money to spend= $40

Admission price= $20

Sandwich= $5

Add all expenses to find the money spent by Money Marilyn.

Total expense= admission price + sandwich

Total expense = $20 + $5 = $25

Amount left with her= $40-$25 = $15

The number of cups when each cup's cost is $3

Total lemonade(x) = $15/$3 = $5

In an equality,

Money Marilyn can buy 1≤ x≤5 (more than or equal to one and less than or equal to five) lemonades from the rest of the money.

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A contains 21 elements

Let's assume set A contains X elements ,

so , according to set theory ,  A ∪ B = 23

or, A + B - ( A ∩ B ) = 23

or ,X + 15 - 13 = 23

or, X + 2 = 23

or , X =  23 - 2

or, X = 21

So , there are 21 elements are present in set A .

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Solving the problem according to the set theory, we get that set A contains 21 elements.

A set is a well-defined collection of objects, whose elements remain fixed and do not vary. It means that set doesn't change from person to person and is invariable.

Let's assume that set A contains X elements,

So, according to the set theory, A ∪ B = 23

or, A + B - ( A ∩ B ) = 23

or ,X + 15 - 13 = 23

or, X + 2 = 23

or , X = 23 - 2

or, X = 21

From the above explanation, we get that there are 21 elements are present in set A .

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The weight of the green squash is 33.76 pounds.

A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 3/4. A decimal is a non-integer that is made up of integers and non-integers that are separated by a decimal point. An example of a decimal is 1.2.

The weight of the green squash can be determined by multiplying the fraction of the green quash by the total pounds of green and yellow squash.

Pounds of green squash  = fraction of green squash x total pounds of squash

Fraction of green squash = 1 - 1/5 = 4/5

Pounds of green squash  = 4/5 X 42.2 = 33.76 pounds

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Answer:

6.244 x 10^-1

Step-by-step explanation:

The change for the day is 10 1/4

In this problem, we are expected to calculate the change in the price of a particular stock

Given that the days high is 80 3/4

and also that the days low is 70 1/2

we can calculate the change by subtracting the days low from the days high

i.e 80 3/4- 70 1/2= 323/4-141/2= (323-282)/4= 41/4

hence the change for the day is 41/4 =10 1/4

Also we can calculate the percentage change as

%change = (high-low)/low*100

%change= 80 3/4- 70 1/2/70 1/2*100= 41/4/70 1/2 *100

%change= 41/4*2/141*100

%change= 0.00145=0.145%

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The sides of angle JBA is ray BJ and BA.

In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can say that the angle is the figure formed by two rays which has same initial point. These rays are also known as the sides of an angle. A angle can have two rays.

Some common terms related to angle :

Endpoint  : It is the point where the rays met to each other.

Ray : Ray is the side or line segment on which angle is formed.

Curve : It is a line but not straight i.e. a bended line.

Tangent : A line which touches the surface of curve.

In the given question, as ∠JBA is made between two lines or rays i.e. ray BJ and ray BA . Therefore sides of this angle are BJ and BA.

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Answer:

Converse: If the air temperature is 32°F or less, then freezing rain is falling.

Inverse: If freezing rain is not falling, then the air temperature is not 32°F or less.

Contrapositive: If the air temperature is not 32°F or less, then freezing rain is not falling.

Explanation:

Statement: If p, then q.

Converse: If q, then p.

Inverse: If not p, then not q.

Contrapositive: If not q, then not p.

Answer:

Step-by-step explanation:

bag of oranges = $6.40

each bag = 16 oranges

48 divided by 16 = 3 (bags)

$6.40 x 3=  $19.20

The cost of 48 oranges would be $19.20 when the each cost 6.4

Given:

- Cost of a bag of oranges = $6.40

- Number of oranges in each bag = 16

First, let's find the cost per orange:

Cost per orange = Cost of a bag / Number of oranges in the bag

Cost per orange = $6.40 / 16 = $0.40

Now, the cost per orange is $0.40.

To find the cost of 48 oranges, multiply the cost per orange by the number of oranges:

Cost of 48 oranges = $0.40 * 48 = $19.20

Therefore, the cost of 48 oranges would be $19.20.

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Answer:

Step-by-step explanation:

The ratio of seasoning to flour is 4:6.

This can also b re-written as a fraction. The fraction would be 4/6.

If you want to find the amount of seasoning per cup of flour, you must divide.

4/6  Divide the denominator (bottom number) by 6 to get a 1 on the bottom. Now divide the numerator (top number) be the same amount. This gives you a 0.66 on the top. Now you have 0.66/1.

0.66 is equivalent to 2/3, so for every 1 cup of flour, there is 2/3 a tablespoon of seasoning.

Hope this helps!

Answer:

3,120

Step-by-step explanation:

Does this need an explanation?

Answer:

1,837+1,283= 3,120

Step-by-step explanation:

Hope It Helps

Sorry If I'm Wrong

The maximum number of ride tickets that she can buy is A. 4.

It should be noted that the system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.

r + f ≥ 16

4r + 2f ≤ 40

The two inequalities are first shown on the graph as seen in the attachment. The graph demonstrates where the two in-equations intersect (4,12).

Consequently, we can observe that r has a maximum value of 4. This was illustrated in the graph.

In conclusion, the correct option is A.

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Answer: B (4 minus 2)