(5⁷)(55)x=8⁵
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is simply changing from percentage form to a decimal form usually, but the fractional form works the same.  Check the picture below.

Hello

Answer:

3

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Answer:

36/12 (not simplifying) 12 (simplifying)

Step-by-step explanation:

You would to KCF (Keep Change Flip) 3/4x12/3 which equals 36/12 (Your anwser if you do not simplify)

Your anwser if you simplify would be 12

Answer:

4/3

Step-by-step explanation

When dividing fractions you flip the secod fraction then multipy.

Hope this helps :)

The solution to all the given equation has been determined.

An intercept is the point at which a straight line intersects the x or y axis.

The equation given are

5x-4y = -20

x+5y = 5

x+4y = 4

x+2y = 6

All the equations are plotted on the graph and the value of the intercept are determined

For Equation 1

The solution is x = 0 , -4 , y = 4 , 0

For Equation 2

The solution is x = 0 ,5 , y=1 ,0

For Equation 3

The solution is x = 0,4 ; y = 1 ,0

For Equation 4

The solution is x =0,6 ; y = 3 ,0

The graph are attached with the answer.

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Step-by-step explanation:

put the value of y and get the value of x.then plot it in graph.(try to get non fractional values)

To implement the second method, the administrator should first create two separate lists, one for each class.

Then, the administrator should use a computer with a random number generator to select a simple random sample of 30 students from the combined class lists. To do this, the administrator should assign a unique number to each student in each list and generate a random set of 30 numbers that correspond to the students in the list.

For example, using the random digits 47899, 92198, 80657, 73914, and 18360, the administrator can choose student 47899 from the first class and student 92198 from the second class.

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Answer:

BC = 56 units

Step-by-step explanation:

since the main diagonal AK bisects the diagonal BC , then the figure is a kite.

• the disjoint pairs of consecutive sides are congruent in a kite, that is

AB = AC and BK = CK

using the pair AB = AC  to solve for x

9x - 14 = 6x + 7 ( subtract 6x from both sides )

3x - 14 = 7 ( add 14 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Since m bisects BC , then

CP = PB and

BC = CP + PB = 4x + 4x = 8x

then

BC = 8x = 8 × 7 = 56

The probability of observing heads (h) when tossing both coins simultaneously is 0.55.

We can use the Law of Total Probability to calculate the probability of observing heads (h) when we toss both coins simultaneously. The Law of Total Probability states that the probability of an event (h) is equal to the sum of the probabilities of the mutually exclusive events (fair coin and biased coin) multiplied by their respective probabilities of observing heads (h). Therefore, the probability of observing heads (h) when tossing both coins simultaneously is given by:

P(h) = P(h|f) * P(f) + P(h|b) * P(b)

= 0.5 * 0.5 + 0.6 * 0.5

= 0.55

Therefore, the probability of observing heads (h) when tossing both coins simultaneously is 0.55.

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Answer:

50,015

Step-by-step explanation:

The total of ratio units is 7+5+9 = 21. Of those at company A, that company donated 7, or 7/21 = 1/3 of the total. 1/3 × 150,045 = 50,015

Answer:

50015

Step-by-step explanation:

Add 7,5 and 9 to get 21

Then divide 150045 by 21 to get 7145

Then multiply 7145 by 7 to get 50015.

So the answer is $50,015.

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Using the relation between odds and probability, it is found that:

1. P(C) = 17/39.

2. The odds of C occurring are 17 to 22.

Considering the odds, the probabilities for A and B are given as follows:

The sum of all probabilities is of 1, hence the probability of C is found as follows:

\(\frac{3}{13} + \frac{1}{3} + P(C) = 1\)

\(\frac{9 + 13 + 39P(C)}{39} = 1\)

39P(C) = 17

P(C) = 17/39.

17 desired outcomes and 39 - 17 = 22 non-desired, hence:

The odds of C occurring are 17 to 22.

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The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

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

To solve for x, cross multiply the equation

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

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

Apply distributive property

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

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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Answer:

Hey, it's the third picture

Answer:

Reject H0

Step-by-step explanation:

Given :

H0: The frequencies are equal. H1: The frequencies are not equal

Category f0 A 10 B 30 C 30 D 10

Total f0 = (10 + 30 + 30 + 10) = 80

Expected frequency is the same for all categories :

Expected frequency = 1/4 * 80 = 20

χ² = Σ(observed - Expected)² / Expected

χ² = (10-20)^2 / 20 + (30-20)^2 /20 + (30-20)^2 / 20 + (10-20)^2 / 20

χ² = (5 + 5 + 5 + 5) = 20

Pvalue = 0.00017

Pvalue < α

\( = > 6a - 2b\)

\( = > 6(5) - 2(7)\)

\( = > 30 - 14\)

\( = > 16\)

Answer:

6,750 in.³

Step-by-step explanation:

The ice chest is a rectangular prism or a cuboid.

Volume of the ice chest = volume of rectangular prism = l*w*h

Where,

l = 30 in.

w = 15 in.

h = 15 in.

Volume = 30*15*15 = 6,750 in.³

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

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Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

Answer:

x = 15 , y = 8

Step-by-step explanation:

Since the triangles are similar, then ratio of corresponding sides are in proportion, that is

\(\frac{x}{45}\) = \(\frac{17}{51}\) = \(\frac{1}{3}\) ( cross- multiply )

3x = 45 ( divide both sides by 3 )

x = 15

---------------------------------------------

Similarly

\(\frac{y}{24}\) = \(\frac{1}{3}\) , so

3y = 24 ( divide both sides by 3 )

y = 8

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.

From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.

This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.

In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

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Answer:

78

Step-by-step explanation:

Answer:

y + 4 =(1/4)(x - 1)

Step-by-step explanation:

The point slope equation is y - k = m(x - h), where (h, k) is the given point and m is the given slope.

In this particular case we have y + 4 =(1/4)(x - 1)

For the function g (x) = √ 2 x - 7, the elements that are not included in the domain are ( - ∞, 3.5).

We are given a function:

g (x) = √ 2 x - 7

Now, we need to find what all does not lie in the domain of this function.

For this, we first need to find the domain of the function.

We know that, a square root cannot be negative.

So, we get that:

2 x - 7 ≥ 0

Add 7 to both the sides:

2 x - 7 + 7 ≥ 0 + 7

2 x ≥ 7

Divide both sides by 2:

2 x / 2 ≥ 7 / 2

x ≥ 3.5

Domain = x ≥ 3.5 = [3.5, ∞)

Elements not included in the domain = R - [3.5, ∞) = ( - ∞, 3.5)

Therefore, we get that, for the function g (x) = √ 2 x - 7, the elements that are not included in the domain are ( - ∞, 3.5).

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Answer:

6.67 ounces

Step-by-step explanation:

40/6=6.6666667

Answer:

6,666 i think

Step-by-step explanation:

40:6=6,666

Answer:

(5 7 11 12 13 14)

Step-by-step explanation:

Q inter R = 7 and 11

So the union between p and 7 and 11 is the answer above

The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

y = 1/2(-4) + 2 = -2 + 2 = 0

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

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Answer:

the answer is 7

Step-by-step explanation:

8d +7=63

-7. -7

_________

8d = 56

__. ___

8. 8

56 divided by 8 is 7

Answer:

d=-6.88

Step-by-step explanation:

63=-8d+7

-7         -7

55=-8d

55/-8 =-6.88