A quadrilateral has two angles that measure 24° and 314°. The other two angles are in a ratio of 4:7. What are the measures of those two angles?

Gentiana has $12 left to spend on the pizza pie as of the equation model.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,

Let the amount spend on pizza pie be x,
According to the question,
40 = 10 + 25% of 40 + 20% of 40 + x

40 = 10 + 40 × 0.25 + 40 × 0.20 + x
40 = 10 + 10 + 8 + x
x = 40 - 28
x = 12

Thus, Gentiana has $12 left to spend on the pizza pie as of the situation model.

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Answer:2350 million

Step-by-step explanation:

hope this helps

To find the roots of a quadratic equation by the factorization method, you can use the following steps:

Write the equation in standard form (ax^2 + bx + c = 0)

Factor the equation completely by setting it equal to zero and factoring out the greatest common factor.

Set each factor equal to zero and solve for the roots.

For example, to find the roots of the equation x^2 + 5x + 6 = 0, we can factor it as (x+3)(x+2) = 0.

To find the roots, we set each factor equal to zero and solve for x:

x + 3 = 0, x = -3

x + 2 = 0, x = -2

So the roots of the equation x^2 + 5x + 6 = 0 are -3 and -2.

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To determine the time the power came back on, we need to determine how much time has passed since the power went out and the alarm clock reset where the power came back on at 17.79 hours or 17 hours and 47 minutes (17:47).

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The expected number of defective calculators produced that day is 48.

When a product doesn't meet the quality objective or results in a non-compliant situation, it is considered to be faulty. Based on the total observed items as well as the defective products, you may determine the defective rate. To compute the defect rate on your own, use the following formula. Divide the total number of faulty items by the total number of observed products using the formula. To find the defect rate %, multiply the result by 100.

r = (p / o) × 100

r being the defect rate

P stands for defective goods, and O for all observed goods.

O = P*r = 1600 * 3% = 48

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The time that it took Evan to mow the front yard was 26 .25 minutes.

Assuming that x is the time it took Evan to mow the front yard, the formula would be:

x + 1.4x = 63 minutes

This is because we know that Evan mowed the front and back yards in 63 minutes.

The minutes it took Evan to mow the front yard is therefore:

x + 1.4x = 63 minutes

2 .4x = 63

x = 63 / 2. 4

x = 26. 25 minutes

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The question is:

Evan mowed the front and back yards at his grandmother's house. He finished mowing both yards in 63 minutes. Evan mowed the back yard for 1.4 times as many minutes as he mowed the front yard.

How long did he take to mow the front yard ?

Therefore , the solution of the question is given by the theorem of

constant proportionality comes out to be 1.5 .

The proportion between any directly proportional quantities is the proportionality constant. If the growth and decline of two quantities occur at the same rates, they are directly proportional. When two quantities, y and x, are approximately equal to one another, the proportionality constant, k, is equal to their product, y/x.

Here,

Given :

=> original price : $15 ,$25,$35

=> sale price: $10,$20,$30

To find the proportional relationship :

=> 15/10 =1.5

=> 25/20 = 5/4 = 1.25

=> 35/30 = 7/6 = 1.16

Therefore , the solution of the given problem of constant proportionality comes out to be 1.5 .

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The required number of pieces Demarco does to the rest of the fabric is 4.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,
Demarco has a piece of frabric 6yd long. He uses a piece 3yd long.
Piece left = 6 - 3 = 3yd

Now, he cuts the rest into 3/4 long.
= length of rest piece/length of each piece
= 3 / [3/4]
= 4 pieces

Thus, the required number of pieces Demarco does to the rest of the fabric is 4.

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The value of B+U+S+T+E+D is 20. B represents the number 2, U represents the number 3, S represents the number 19, T represents the number 20, E represents the number 5, and D represents the number 4. When these numbers are added together, they equal 20.

BUSTED is an acronym for 'Believing Uncovering Solving Troubles Everywhere Dynamicly'. It is a popular phrase used by the characters in the Scooby-Doo cartoons. It is a phrase used to express the moment when the mystery is solved and the bad guy is caught.

BUSTED is an important part of the Scooby-Doo cartoon series. It expresses the moment when the mystery is solved and the bad guy is caught. It is also a great way to encourage children to believe in themselves and to use their own detective skills to solve a mystery. The value of B+U+S+T+E+D is 20, and it is a fun way to teach kids math and problem solving skills.

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The first one 10xy is a monomiał, it is a product of one non-negative integer power of x and one non-negative integer power of y.

What do math monomials mean?

A monomial is a polynomial with a single term. A monomial is a type of algebraic expression that normally contains one term, though it can potentially include several variables and a higher degree. For example, 9x3yz is a single term when 9 is the coefficient, x, y, and z are the variables, and 3 is the degree of the monomial.

The second one 35x-3 is not a monomiał, it is a polynomial with one variable x and an exponent of 1 and a constant term -3.

The third one -300.25 is a monomial, it's a product of one non-negative integer power of -300.25

The fourth one √xy is not a monomial, it is a product of a square root and a variable y, which is not a non-negative integer power.

The last one 11 is a monomial, it's a product of one non-negative integer power of 11.

So the monomials are: 10xy, -300.25, 11

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Charles has 66 blue marbles

The ratio of red to blue marbles is 4 to 3, which means for every 4 red marbles, there are 3 blue marbles.

We know Charles has 88 red marbles. To find the number of blue marbles, we can use the proportion:

(Number of red marbles) / (Number of blue marbles) = (4) / (3)

Since we know the number of red marbles and the ratio, we can solve for the number of blue marbles by multiplying both sides of the equation by the number of blue marbles:

88 / (Number of blue marbles) = 4/3

To find the number of blue marbles, we can cross-multiply and divide:

Number of blue marbles = 88 * 3/4 = 66

I hope this helps :)

The average of height of x girls and y boys with m and n height is (mx + ny)/(x + y).

The average of any value is calculated by the formula -

Average = sum of the height of students ÷ total number of students

Based on mentioned information, the average can be calculated through individually calculating numerator and denominator.

Sum of the heights of girls in a class = m × x

Sum of the height of boys in a class = n × y

Total number of students in a class = x + y

Keep the value in formula -

Average = (mx + ny)/(x + y)

Thus, average height is (mx + ny)/(x + y).

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Therefore ,solution of unitary method is she can only obtain one piece of 18 foot board since she needs one that is 18 feet long.

The amount of a tiny subset that exists must be calculated before multiplying that amount by two in order to complete a task utilizing the unitary variable approach. In order to isolate a standard programming value from a given set, the unit technique is used, to put it simply. For instance, the price of 40 pens is 400 rupees ($1.01), or Rs. It's feasible that the strategy used to achieve this will be controlled by just one nation. Almost every creature has a unique quality. It has the same capacities for reciprocity and integration (mathematics, algebra).

Here,

A wood board belongs to Lucy.

The board measures 34 feet long.

She intends to divide it into 18-foot chunks.

Let x denote the maximum number of wood boards that can be cut.

The formula 34 / 18 will indicate how many pieces will be cut.

=> 34/18

=> 1.888

x = 1.888

She can only obtain one piece of 18 foot board since she needs one that is 18 feet long.

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The 2nd and 3rd terms of the sequence will be 38.5 and 37, respectively.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term is 40 and the fourth term is 35.5. Then the common difference is given as,

35.5 = 40 + (4 - 1)d

- 4.5 = 3d

d = - 1.5

Then the second term is given as,

a₂ = a₁ + d

a₂ = 40 - 1.5

a₂ = 38.5

Then the third term is given as,

a₃ = a₂ + d

a₃ = 38.5 - 1.5

a₃ = 37

The 2nd and 3rd terms of the sequence will be 38.5 and 37, respectively.

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Answer:

87

Step-by-step explanation:

it is 887

In the exponential function y = 61 (0.95)^t, the change represents a decay.

The percentage of decay rate is 5%.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The given exponential function is -

y = 61 (0.95)^t

Here, it can be seen that there is a decay rate as the base value 0.95<1.

The percentage rate of decrease is 1-0.95.

Find the percentage decay rate as -

= 1 - 0.95

= 0.05

Convert it into percentage -

= 0.05 × 100

= 5 %

Therefore, the exponential function is a decay function with 5% decay rate.

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The three different ways are:

The greatest common divisor (GCD) of 3 and 4 is 1, which can be expressed as a linear combination of 3 and 4 in multiple ways. The above expressions are three examples of how 1 can be represented as a linear combination of 3 and 4.

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.The GCD of two or more integers can be found using various algorithms, such as the Euclidean algorithm, the binary GCD algorithm, and the extended Euclidean algorithm.

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Answer: Yes, answer is 15

Step-by-step explanation:

Another way to look at this is 50% of 30, or just 1/2 of 30.

An equation of the line that passes through the points (- 4, 7) and (2, 8) is 6y = x + 31.

In the given question, we have to find an equation of the line that passes through the points (- 4, 7) and (2, 8).

The point-slope approach is typically used when two points that sit on a specific line are specified.

A line's equation is written as y - y(1) = m(x - x(1)), where y(1) is the Y-axis coordinate, m is the slope, and x(1) is the X-axis coordinate.

Firstly we find the value of m using the formula

m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]

From the given points x(1) = -4, y(1) = 7, x(2) = 2, y(2) = 8.

Now putting the value

m = [tex]\frac{8-7}{2-(-4)}[/tex]

Now solving

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

m = [tex]\frac{1}{6}[/tex]

Now we finding the equation of line. We can use any one point in the given points.

Now taking the points (2, 8), x(1) = 2 and y(1) = 8

Now putting the value in equation y - y(1) = m(x - x(1)).

y - 2 = [tex]\frac{1}{6}[/tex](x - 8)

Multiply by 6 on both side, we get

6(y - 6) = x - 5

6y - 36 = x - 5

Add 36 on both side, we get

6y = x + 31

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The complete question is:

What is an equation of the line that passes through the points (- 4, 7) and (2, 8)?

The hex representation of −5.375 is 0xB3F8.

The 16-bit FP number representation of −5. 375 has a 1-bit sign, 4-bit biased exponent, and 11-bit fraction, where bias offset = 7. The sign bit is 1, which indicates a negative number.

The biased exponent is obtained by subtracting the bias offset from the actual exponent. For -5.375, the actual exponent is -3. Subtracting the bias offset of 7 from -3 gives the biased exponent of 4, which is represented in 4 bits as 0100.

The fraction is obtained from the mantissa, which is the significant digits after the decimal point. For -5.375, the mantissa is 0.375. This can be represented in 11 bits as 1111 000 00, which gives the hex representation of 0xB3F8.

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The value of x in the figure is 5.

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Keep the base constant and multiply the exponents when increasing a base with a power to another power.

The quantity of times a number has been multiplied by itself is known as an exponent. To the third, for instance, is expressed as 23, which signifies that 2 x 2 x 2 = 8. 2 x 3 = 6 and 23 are not equivalent. Don't forget that a number raised to the power of one equals that number. Exponent is the process of representing huge numbers as powers, according to the definition. Accordingly, the exponent describes the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6 6 6 6. 64 can be used to represent this.

given

as in: 81 Equals 8. By include exponents, a product of powers with similar bases (the same base number) can be made simpler.

Exponents must be added when multiplying numbers with the same base. Exponents laws. Keep the base constant when multiplying like bases and add the exponents.

When dividing using like bases, keep the base constant and deduct the exponents of the numerator and denominator.

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Answer: Lola is incorrect. The two expressions have different values.

Expression A is (a/b)^(-4)^0 which is equal to 1, since any non-zero number raised to the power of 0 is 1.

Expression B is (a/b)^0^(-4) which is (a/b)^(-4) which is the reciprocal of (a/b)^4. They are different values.

In general, it's important to be careful with the order of operations when working with exponents and to be aware of the difference between a^b^c and (a^b)^c or a^(b*c) depending on the context.

Step-by-step explanation:

Answer:

67.75

Step-by-step explanation:

[tex]84.95 - 2.15 \cdot (3.91 - 1.91)^3[/tex]

[tex]3.91-1.91=2[/tex]

[tex]2^3=8[/tex]

[tex]2.15\cdot8=17.2[/tex]

[tex]84.95 -17.2=67.75[/tex]

So, the final answer is 67.75

The formula of the arithmetic progression for the sequence 19, 15, 11, 7 is a(n) = 19 - 4 · (n - 1), whose recursive formula is a(n) = 19 - 4 · (n - 1), a₁ = 19.

Arithmetic progressions are sets of values generated by an expression of the form:

a(n) = a₁ + r · (n - 1)

Where:

And the recursive formula is:

a(n) = r · a(n - 1)

Where a(n - 1) is the n-1 th term of the sequence.

First, determine the first element of the sequence:

a₁ = 19

Second, find the common difference:

r = a₂ - a₁

r = 15 - 19

r = - 4

Third, write the complete formula for the arithmetic progression:

a(n) = 19 - 4 · (n - 1)

Fourth, write the recursive formula:

a(n) = a(n - 1) - 4

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Answer:

[tex]\bf x=4[/tex]

Step-by-step explanation:

[tex]\bf 5x+2=22[/tex]

Subtract 2 from both sides:-

[tex]\bf 5x+2-2=22-2[/tex]

[tex]\sf 5x=20[/tex]

Divide both sides by 5:-

[tex]\bf \cfrac{5x}{5}=\cfrac{20}{5}[/tex]

[tex]\bf x=4[/tex]

Therefore, value of x is 4!

______________________

Hope this helps!

Have a great day!

Answer: X= 4

Step-by-step explanation:

Just minus 2 on both sides so you get 5x=20. divide by 5 and then you get 4.

Number of real solutions of  -4x²- 2x +1=0 is two

The value of x = 3/4 and 1/2

A quadratic equation, or quadratics, is a polynomial equation with a maximum degree of two. It takes the following form: ax²+bx+c = 0.  

The quadratic Formula is the formula that is used to find the roots or solution of a quadratic equation. For the standard quadratic equation, the ax²+bx+c = 0 quadratic formula is given by

Where, Discriminant, d = b²-4ac

8. Given equation -4x²- 2x +1=0  

From the discriminant formula,

Discriminant, d = b² - 4ac

Compare given equation with ax²+ bx + c = 0

=> a = -4, b = -2 and c = 1

Discriminant, d = (-2)² - 4(-4)(1)  

= 4 + 16 = 20  

Since the discriminant is positive, the given equation will have two solutions.

9. 24x² - 30x + 9 = 0

Compare given equation with ax²+ bx + c = 0

=> a = 24, b = -30 and c = 9  

From the quadratic formula x = [-b±√(b²-4ac)]/2a  

x = [- (-30) ±√((-30)²- 4(24) (9)]/2(24)

x = [ 30 ±√900 - 864]/48          

=> x = [ 30 + √900 - 864]/48  and  x = [ 30 - √900 - 864]/48    

=> x = [ 30 + √36]/48  and  x = [ 30 - √36]/48      

=> x = [ 30 + 6]/48  and  x = [ 30 -6]/48      

=> x = [ 36]/48  and  x = [ 24]/48    

=> x = 3/4  and x = 1/2

Therefore,    

Number of real solutions of  -4x²- 2x +1=0 is two

The value of x = 3/4 and 1/2

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The number of times a number is multiplied by itself is referred to as its exponent. Exponent qualities include Product of Powers and Power to a Power.

The seven exponent properties are as follows in algebra :

1. Product of powers rule.

2. The power quotient governs.

3. The rule of a power.

4. The rule of product power.

5. The effectiveness of a quotient rule.

6. The rule of zero power.

7. The rule of the negative exponent.

For instance, 2 to the third (written as 2³) means: 2 x 2 x 2 = 8. 2 x 3 = 6 does not equal 2³. Keep in mind that a number raised to the power of one is itself.

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There are  [tex]8^5\\[/tex] cubes in the Container.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

Volume of Container = [tex]8^7[/tex] cm³

Volume of Each cube = 8² cm³

So, the number of cubes in the container

= Volume of Container / Volume of Each cube

=  [tex]8^7[/tex] cm³ / 8² cm³

Now, using Exponents property

[tex]a^m / a^n= a^{m-n[/tex]

Then, number of cubes in the container

=  [tex]8^7[/tex] cm³ / 8² cm³

= [tex]8^{7-2[/tex]

= [tex]8^5\\[/tex]

Hence, the number of cubes are  [tex]8^5\\[/tex].

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Therefore , the solution of the given problem of equation comes out to be 8 as it will make equation true.

When the equal letter (=) is used to indicate equality, a math equation like a formula connecting the two claims. Algebraic equations are statements of fact that show the equivalence of many mathematical variables. For instance, the values doc d + 6 or 12 are separated by an equal sign in the formula data logger + 6 = 12. How many syllables each side of each letter corresponds to can be expressed quantitatively. The message of a symbol frequently contradicts itself.

Here,

the formula 4x + 8 = 4x +?

Let's first make the expression simpler.

4x from each side is subtracted.

4x + 8 - 4x = 4x - 4x + ?

8 = ?

From the outcome, we must figure out the undetermined value for any x values that are not 8.

In this scenario, the unknown value can be any other value other than 8.

The needed value for the variable with all values of x must be 8.

There won't be a number after 4x for just single value of x because this is an impossibility.

Therefore , the solution of the given problem of equation comes out to be 8 as it will make equation true.

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