The side lengths of AABC are 27, 9x, and 63. The side lengths of ADEF are
18, 36, and 7x. Is it possible that the triangles are similar? If so, find the value
of x that makes the triangles similar.

Answer:

19%

Please mark it the brainiest.

The solution to the inequality 50 - 8f < 90 is f > -5

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Inequality is an expression that is used to show the non equal comparison of numbers and variables

Given the equation:

50 - 8f < 90

subtract 50 from both sides:

50 - 8f - 50 < 90 - 50

-8f < 40

Divide both sides by -8:

-8f / -8 < 40 / -8

f > -5

The solution to the inequality is f > -5

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You have a fraction of 5/4 of the required tickets. You don't need more tickets for the souvenir.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Any number can be expressed as fractions.

Given that,

Percentage of tickets you have = 125%

125% can also be written as 125 / 100

125% = 125 / 100

         = (25 × 5) / (25 × 4)

         = 5/4, which is the required fraction.

Actual number of tickets needed = 100%

You have 25% = 25/100 = 1/4 more tickets for the souvenir.

So you don't need more tickets.

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The value of the angle x is 120 degrees

It is important to note the following;

From the information given in the diagram, we have that;

The variable x is laying on a straight line with one end of the triangle.

Also, angle 60 is alternate to the same angle on a straight line with x

So, we have that;

60 degrees + x degrees = 180 degrees

Solve mathematically as;

60 + x = 180

collect like terms

x = 180 - 60

Subtract the values

x = 120 degrees

Hence, the value is 120 degrees

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The real interest rate is the interest rate that has been adjusted for inflation.

By reducing the principal by both the interest rate, by duration of time, and other factors, simple interest is derived. Simple return = principal plus interest plus hours is really the concept used in marketing. The easiest way to compute tax is by using this procedure. The most typical method of calculating income is as a portion of the outstanding sum. For illustration, if he borrows $100 from a buddy and pledges to pay back the loan at 5% interest, he will just pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you should pay interest, and you must collect interest when they lend it. Typically, interest is computed as a percentage of the loan total. The loan's interest is the name given to this percentage.

given

The interest rate charged on a loan expressed in dollars is called the nominal interest rate. The interest rate after accounting for inflation is known as the real interest rate. The nominal interest rate less the inflation rate equals the real interest rate.

The price of the candy bar increased sixfold while the total price level doubled, resulting in a threefold increase in the candy bar's real price (price adjusted for inflation).

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Answer:

1; can't say for certain

2: well, the chances of getting a yellow starburst are 1/8th but those are immediately increased depending on how many packs you buy though I can't say for certain how much because I do not know the variable of how many you may possibly buy.

3; the chance of getting 2 yellows in a pack are 1/8ths or 1/16ths as for there's a 1/8th chance of getting one yellow in a pack.

4,5,6;well, considering orange seems most abundant there would be at least a 3/4ths chance of getting orange a 2/4ths chance of getting pink and for the other colors a 1/4th chance of getting yellow or red

Step-by-step explanation:

The total problems assigned over the weekend are 15.

Let's assume the total number of problems assigned = x.

Given that problems solved on Saturday is 3/5 of her total questions. This is represented as:

(3/5)x

The remaining problems are:

1 - (3/5)x = (2/5)x

On, Sunday the problems solved are 1/3 of the remaining. This is represented as:

(1/3)*(2/5)x = (2/15)x

The remaining problems are:

(1 - 1/3)(2/5 x) = (2/3) * (2/5)x = 4/15x

Given that the final number of problems remaining are 4, that is:

(4/15)x = 4

x = 4 (15/4)

x = 15

Hence, the total problems assigned over the weekend are 15.

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x is a hypergeometric random variable, p(x=0) is 0.033.

Hypergeometric random distribution is a discrete probability distribution that describes k success in n draws without replacement from a finite population  size of N that exactly contains K objects.

Given x is a  hypergeometric random variable ,

    [tex]P(X=k)=\frac{KC_{k} .(N-K)C_{n-k} }{NC_{n} }[/tex]

Here, N=10,n=3,r=6, P(x=0)

By using the above formula we get,

            =[tex]\frac{6C_{0} .4C_{3} }{10C_{3} }[/tex]

            =[tex]\frac{4}{120}[/tex]

 p(x=0) =0.033

Hence, P(x=0) is 0.033, where x is a hypergeometric random variable.

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Answer:

8ft

Step-by-step explanation:

solve equation of x²-2x-48=0

(x-8)(x+6)=0

so x=8 or -6

only 8 is correct

The probability that the postman is never bitten by a dog is equal to the product of all qi's from i=1 to infinity, which is equal to (1-α)^∞. This is equal to 0 since α is a positive number.

The probability that the postman is never bitten by a dog is given by P(X > n), where X is the number of days until the postman sustains his first bite. This probability can be expressed as the product of all of the qi's from i=1 to n, which is equal to (1-α)^n, where qn = α for all n, and 0 < α < 1. The probability that the postman is never bitten by a dog is equal to the product of all qi's from i=1 to infinity, which is equal to (1-α)^∞. Since 0 < α < 1, (1-α)^∞ is equal to 0, meaning that the probability that the postman is never bitten by a dog is 0. This is because as n increases, the probability that the postman is not bitten by a dog on Day n decreases, and as n approaches infinity, it approaches 0.

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Answer: Let's assume that Car B travels at a speed of x miles per hour. The expression that represents how many miles farther Car B travels in two hours compared to Car A is:

(x - 55) * 2

This expression calculates the difference in speed between Car B and Car A (x - 55) and then multiplies it by the number of hours (2) to get the total distance Car B travels farther than Car A in two hours.

Step-by-step explanation:

The new diagram with a scale factor of 1 unit = 2cm will look the same

as each new grid now represents 2 cm.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A drawing represented by a scale factor of 1 unit = 6cm,

Where every grid unit represents 6 cm.

The new drawing model will look exactly the same as now each grid unit represents 2cm feet.

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Answer:

see below

Step-by-step explanation:

memorize the following formula:

V = 1/3 * lenght * width * height = 1/3 * 3*6*4 =24

Answer:

Let x be the number of tickets sold.

Jaelyn's account balance after selling tickets: 150 + 58x

Erik's account balance after selling tickets: 480 + 6x

For both accounts to have the same amount, we set their balance equal to each other and solve for x:

150 + 58x = 480 + 6x

52x = 330

x = 330/52 = 6.25

So 6.25 tickets had to be sold before both accounts had the same amount of money.

B, C, E

--5 + 0 does not equal zero

--any value tomes zero equals zero

--1.4 + 2.7 => 1.0 + 2.0 + 1.1 => 4.1

--2/3(5/9) = 10/27 not 7/12

--4(2/3) = 4.66666 and 5 - 1/3 = 4.66666

Answer:

B, C, and E

Step-by-step explanation:

A is incorrect because any number plus zero results in that number, not 0.

         In equation form: [tex]x + 0 = x[/tex]

B is correct because any number multiplied by zero results in 0.

         In equation form: [tex]0(x) = 0[/tex]

C is correct. We can split the added numbers into their decimal place values and add the values separately to get 4.1.

[tex]1.4 + 2.7 = (1 + 2) + (0.4 + 0.7) = 3 + 1.1 = 4.1[/tex]

D is incorrect because when multiplying fractions, you simply multiply the numerator and denominator; however, this is not done here.

E is correct because 4 2/3 is one third less than 5; we can show this using improper fractions:

[tex]4 \dfrac{2}{3} = \dfrac{(4 \times 3) + 2}{3} = \dfrac{14}{3}[/tex]                [tex]5 = \dfrac{5 \times 3}{3} = \dfrac{15}{3}[/tex]

[tex]\dfrac{15}{3} - \dfrac{14}{3} = \dfrac{1}{3}[/tex]

Answer:

0.2060

A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.

First, multiply both the numerator and the denominator by 1000.

[tex]\frac{1.942}{9.43}[/tex] × 1000 = [tex]\frac{1942}{9430}[/tex]

Now, reduce the fraction to lowest terms. (Extract and cancel out 2.)

[tex]\frac{971}{4715}[/tex]

Convert to decimal.

[tex]\frac{971}{4715}[/tex] ≈ 0.205938494

Round to 4 decimal places.

0.2060

Therefore, 1.942 ÷ 9.53 = 0.2060

Answer: The exponential function to model the value of the land over time t (in years) is given by:

V(t) = 6500 * e^(-0.016t)

So, to find the value of the land in 1999 (10 years after 1989), we can plug in t = 10 into the equation:

V(10) = 6500 * e^(-0.016 * 10) = 6500 * e^(-0.16) = 6500 * 0.8499 = 5524.935

Therefore, the approximate value of the land in 1999 was approximately $5524.935.

Answer:

There are 18 more boys than girls.

Step-by-step explanation:

Let's think of the ratio 3 : 1 as 3x : x

If 3 : 1 added up is the total students in the class (36) then 4x = 36

Now we just divide 36 by 4

36/4 = 9

so x = 9

The number of boys is 3 * 9 = 27

The number of girls is 9

27 - 9 = 18.

There are 18 more boys than girls.

Answer:

There are 18 more bots than girls.

Step-by-step explanation:

total units=3+1

=4

4 units=36

1 unit=36÷4

=9

difference in units=3-1

=2

2 units=2×9

=18

Answer: Yes, I can solve this problem using a system of equations. Let n be the number of nickels and q be the number of quarters. Then we can write two equations:

The total number of coins is 25: n + q = 25.

The total value is $3.85: 0.05n + 0.25q = 3.85

We can solve this system of equations using substitution or elimination. Let's use substitution:

From equation (2), we can solve for n: n = (3.85 - 0.25q)/0.05.

Substitute this expression for n into equation (1): (3.85 - 0.25q)/0.05 + q = 25.

Multiply both sides by 0.05 to clear the denominators: 3.85 - 0.25q + 0.05q = 25 * 0.05.

Simplify the left side: 3.85 = 1.25q.

Divide both sides by 1.25 to solve for q: q = 3.08

Substitute this value for q into equation (1) or the expression for n from step (1) to find n: n = 25 - q = 25 - 3.08 = 21.92

Since n and q represent the number of coins, we round them down to the nearest whole number. So, there are 21 nickels and 3 quarters.

Step-by-step explanation:

To add 20 and 6 using a number line, you would start at 20 and count on by 5 once (for 25) and then by 1 once (for 26). Counting on by 10s isn't feasible as 6 isn't a multiple of 10.

To add 20 and 6 using counting on by 5s or 10s with a number line, you would start at number 20, then you would progress along the line in increments of 5 until you've added 6. However, since 6 is not a multiple of 5, you would need to count on by 5 once (to get to 25) and then count on by one, one more time (to get to 26). If you were counting on by 10s, you wouldn't be able to, as 6 isn't a multiple of 10.

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Answer:

Step-by-step explanation:

4.1.1 "I am fifty years old" is an example of a discrete variable, as age is typically measured in whole numbers, not fractions or decimals.

4.1.2 "I can drink 400.5 ml of juice in a minute" is an example of a continuous variable, as the amount of juice consumed can be any value along a continuous range of possible values, including fractional amounts.

4.1.3 "I have 2 brothers and 1 sister" is an example of a discrete variable, as the number of siblings is typically measured in whole numbers.

In summary, 4.1.1 is a discrete variable, 4.1.2 is a continuous variable, and 4.1.3 is a discrete variable.

The inequality of context is 1.29x + 10(1.29) ≤ 100 and she can buy 77 songs.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of new songs be 'x'.

Therefore, The inequality to determine the number of songs she can buy and not run out of gift card money is,

1.29x + 10(1.29) ≤ 100.

1.29x + 12.9 ≤ 100.

1.29x ≤ 87.1.

x ≤ 87.1/1.29.

x ≤ 67.52 But she can buy only 67 songs and 10 songs before so 77 songs.

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Answer:

2x^2 + 4x +2 is questiont and 28 is remainder ok

The expression that could be used to check if x is non-negative and y is negative is (x >= 0) && (y < 0).

This expression uses the logical operator "&&", which requires both conditions to be true in order for the overall expression to evaluate to true.

The first condition is to check if x is non-negative, which can be done using the greater than or equal to operator (x >= 0).

The second condition is to check if y is negative, which can be done using the less than operator (y < 0). If both conditions are true, then the overall expression will evaluate to true.

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An expression that evaluates to true if x is non-negative and y is negative is x >= 0 && y < 0.

This expression evaluates to 'true' if x is greater than or equal to 0 and y is less than 0. In other words, if x is non-negative and y is negative, this expression will evaluate as true. The '&&' operator represents a logical "and" operation, which returns true only if both conditions are true. The ">=" operator checks if x is greater than or equal to 0, and the '<' operator checks if y is less than 0.

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Answer:

12 is the correct answer

Step-by-step explanation:

12 is correct ans

Answer:

Step-by-step explanation:

Answer is A

3250 is the total cost

$95 is the cost of installation

Cost for 642 square feet

=3250 - 95=3155

Cost of installation per square feet = 3155/642=4.91

Cost of Carpet City per square feet = $5

Cost of Westside carpet per square feet = $4.91

So Carpet City charges more

The values of 'x' and 'y' which make the quadrilateral PSZR a kite are

4 and 5 respectively.

A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.

We know a kite is a special type of quadrilateral in which pair of adjacent sides are of equal length.

Therefore, PS = ZS and PR = ZR.

So, 5x - 4 = 3y + 1 and 8y - 4 = 36.

Now, 8y - 4 = 36.

8y = 40.

y = 5.

And hence, 5x - 4 = 3(5) + 1.

5x = 15 + 5.

5x = 20.

x = 4.

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the length of its hypotenuse will be 7√2 inches.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, the two legs of an isosceles right triangle measure 7 inches

Since,

From the Pythagorean theorem:

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

So,

Hypotaneuse² = base² + height²

in our case,

Base = height = 7 inches

Thus,

Hypotaneuse = √(7² + 7²)

Hypotaneuse = 7√2 inches

Therefore, the length of its hypotenuse will be 7√2 inches.

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Answer:

I believe D.

Step-by-step explanation:

Since the number on the number line is 1 and 2/4, the opposite would be the negative version, -1 and 2/4. Hope this helped!