15,420 divided by 20 =

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Answer:

20

Step-by-step explanation:

good luck!!

Answer:

24 or 20

Step-by-step explanation:

Answer:111

Step-by-step explanation:

1111

The equation that's been computed shows that the number of cell phones that his family can have will be 2.

From the question, it was stated that the cell phone company charges $50 plus $40 per line each month and that Luke must spend under $170 on his family's cell phone bill each month.

Let the number of cell phones that can be bought be represented by x.

The equation to solve the question will be:

50 + 40(x) < 170

50 + 40x < 170

Collect like terms

40x < 170 - 50

40x < 120

x < 120/40

x < 3

Therefore, the number of cell phones has to be less than 3. Hence, this will be 2.

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Answer:

1) x + 1

2) y - 0

3) 9

Step-by-step explanation:

Answer:

the first answer is (x+1) the second box (y-0) and the last box is 9

Step-by-step explanation:

how do you not know these kids lol

Answer:

x=2

Step-by-step explanation:

6x-2=4x+2

Move all terms with x to the left side by subtracting 4x from both sides:

2x-2=2

Move all terms without x to the right side by adding 2 to both sides:

2x=4

Divide both sides by 2 to get x by itself:

x=2

Answer: x < 5

Step-by-step explanation:

Subtract 21 from both sides

-7x>-35

divide both sides by -7 so x>35 but when dividing by a negative,  the > sign will flip to <

Candy spends £2.65, has 2/3 left and Candy has £7.95 money to start with.

Given that Candy spends £2.65 and has 2/3 of the initial amount left, we are required to find how much money Candy has to start with.

Solution:Let the initial amount of money Candy has be x.

Then, the amount of money spent by Candy = £2.65

Amount of money left with Candy = 2/3 of the initial amount

∴ Money left = 2/3 × x

Amount of money spent + money left = initial amount of money

Candy spends £2.65:2/3 of the initial amount left

= £ (x - 2.65)∴ 2/3 × x

= x - 2.65⇒ 2x/3

= x - 2.65⇒ 2x

= 3x - 7.95⇒ 3x - 2x

= 7.95⇒ x = 7.95

Hence, Candy has £7.95 to start with.

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Answer:

1)1755+3c

2)5252+3c

Step-by-step explanation:

13*135+3c

which is 1755+3c

and

13*404+3c.

which is 5252+3c

Hope this helps plz hit the crown and friend me :D

Answer:

Rational

Step-by-step explanation:

It isnt whole because its a decimal,

It isnt an Integer because its a decimal

It isnt natural because its a decimal

Meaning it can only be rational

Answer:

1.25

Step-by-step explanation:

Answer:1.25

Step-by-step explanation:

The question that should be given:-

A bottle contains 12 litres of soda. Henry has 12 of these bottles. How much soda does he have in all? Write your answer in simplest form.

Solution :-

• 1 bottle contains 12 litres of soda

• Total number of bottles = 12

To calculate how much soda does Henry have in total l, we need to multiply the number of bottles and the number of litres in each bottle. So,

\(total \: soda = (12 \times 12)litres\)

\(→144 \: litres\)

Therefore, the total soda that Henry has in all is 144 litres

--------------------- ★ -----------------------

{ Note:- Even if it was any other number, then just multiply the given number of litres of soda into the total number of given bottles.

This means that,

Total Soda = Given litres of soda x Total bottles given

Ex:- Total bottles given is 2 bottles

and given number of litres in one bottle is 8, so, multiply 8 x 2 = 16.

This means that total number of litres is 16 litres. }

Given above is an example. Please do misunderstand it with the answer.

✍️ By Benjemin360 ☺️

Question lacks one information no of litres if soda present in 1bottle.

let

1bottle contains x litres of soda.

Hence.

12 bottles will contain

\(\\ \sf\longmapsto 12x\ell \)of soda.

If a five - card poker hand is dealt to you such that all of them were hearts, the probability of this is 0.000495.

First find the number of ways the 52 cards in a standard deck of cards can be dealt in 5 ways:
= 52! / (5! x 47!)

= 2, 598, 960 ways

In a standard deck of cards, there are a total of 13 cards that are hearts. You therefore need to find the number of ways that 5 cards are dealt such that they are all hearts:

= 13! / (5! x 8!)

= 1, 287 ways

The probability that all the cards in a five - card poker hand dealt to you are hearts is:

= Number of ways to give all hearts / Number of possible ways

= 1, 287 / 2, 598, 960

= 0.000495

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Answer:

37.3 or 37 1/3

Step-by-step explanation:

Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

Answer:

11,990

9% of 5500 is 495

(495+5500) [one year] x 2 [two years] = $11,990

At the end of 2 years, Aldo will owe $11,990.

Hope it helps

The tens digit is 8, and the units digit is 9 (since y = x + 1). Therefore, the original number is 89.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation contains one or more variables, which are unknown values that can vary or change. The variables are usually represented by letters such as x, y, or z. The expressions on either side of the equals sign can be constants, variables, or functions of variables.

The simplest form of an equation is a linear equation, which can be represented as ax + b = c, where a, b, and c are constants and x is a variable. To solve a linear equation, we need to find the value of the variable that makes the equation true. This is done by performing arithmetic operations on both sides of the equals sign to isolate the variable.

Equations can also be more complex, involving multiple variables, powers, and functions. In such cases, algebraic techniques such as factoring, substitution, and solving systems of equations may be required to find the solution.

Equations are used to describe relationships between variables in many fields of study, including physics, chemistry, economics, and engineering. They are also used in everyday life, such as in calculating the cost of a purchase after applying a discount, or determining the amount of time it takes to travel a certain distance

Let's represent the tens and units digits with x and y, respectively. According to the problem statement, we have two equations:

y = x + 1 (the units digit is one more than the tens digit)

10x + y + 10y + x = 187 (the sum of the original number and the reversed number is 187)

Simplifying the second equation, we get:

11x + 11y = 187

x + y = 17 (dividing both sides by 11)

Substituting y = x + 1 into the second equation, we get:

x + (x + 1) = 17

2x + 1 = 17

2x = 16

x = 8

So the tens digit is 8, and the units digit is 9 (since y = x + 1). Therefore, the original number is 89.

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Using the future value formula, it is found that the value of the account after the tenth deposit is of $26,361.59.

The future value formula is given by:

\(V(n) = P\left[\frac{(1 + r)^n - 1}{r}\right]\)

In which:

For this problem, the parameters are given as follows:

P = 2000, r = 0.06, n = 10.

Hence the value of the account will be of:

\(V(10) = 2000\left[\frac{(1 + 0.06)^{10} - 1}{0.06}\right]\)

V(10) = $26,361.59.

The complete problem is:

"Suppose that there is an account that pays 6% interest that is compounded annually. At the beginning of each year, $2,000 is deposited into the account (starting with $2,000 for the first year).

What will be the value of the account after the tenth deposit if no withdrawals or additional deposits are made?"

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Answer: I'm confused. What are you asking here?

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

In order to grow, a plant needs all the radient energy that it can get.

Answer:

it has been found that 85.6% of all enrolled college and university students in the U.S. are undergraduates. A random sample of 500 enrolled college students in a particular state revealed that 420 of them were undergraduates. Is there sufficient evidence to conclude that the population differs from the national percentages? Use a = 0.05

Answer:

2

Step-by-step explanation:

Take the absolute value of the lowest y value.

So

\( | - 1| = 1\)

Take the absolute value of highest y value.

\( |3| = 3\)

Add those two together and divide by two.

\( \frac{1 + 3}{2} = 2\)

So the amplitude is 2

Answer:

1024

192

32

Step-by-step explanation:

((8)+(24))² = (32)² = 1024

(8)×(24) = 192

(8)+(24) = 32

A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and  + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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The marginal frequency of students who chose dancing is 37.

The correct answer to the given question is option 3.

The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.

Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.

It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.

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Answer:

t ≤ -3

Step-by-step explanation:

4t + 5 ≤ -7

4t ≤ -12

t ≤ -3

Answer:

No, they are the same triangles

Step-by-step explanation:

They both have a side length of 3 and 5 and an angle that measures 60 degrees. The triangles are just flipped in different directions.

If they were to draw an additional triangle that would make it seem different, they could expand the angle and make it obtuse to get a triangle with 1 wide corner.

Answer:

The first one would be 9

The second one would be 4

Step-by-step explanation:

By adding the same numbers, you make the equations equal and therefore true.