Three friends got jobs at stores in the mall. nina earns 177.60for 14 hours of work ty earns 148.50 for 18 hours of work kim earns 137.60 for 16 hours of work

Answer:

Step-by-step explanation:

\(5\frac{1}{4} =x\)

\(3\frac{3}{4} =y\)

x-y=?

so

?+y=x

which means

\(?+ 3\frac{3}{4} = 5\frac{1}{4}\)

i hope this helps

Using the simplex method, the optimal solution for the given linear programming problem is x = 2, y = 2, z = 0, with the maximum objective value of P = 10.



a. To rewrite the formulation in standard form, we need to replace the inequalities with equality constraints and introduce non-negative variables. Let's assume x, y, and z as the non-negative variables:

Maximize P = 3x + 2y + 4z

Subject to:2x + y + z + s1 = 8

x + 2y + 3z + s2 = 10

x, y, z ≥ 0

b. Utilizing the linear programming simplex method, we can solve the above formulation. After setting up the initial tableau, we perform iterations by selecting a pivot element and applying the simplex algorithm until an optimal solution is reached. The algorithm involves row operations to pivot the tableau until all coefficients in the objective row are non-negative. This ensures the optimality condition is satisfied, and the maximum value of P is obtained.

To provide a brief solution within 120 words, we determine the optimal solution by applying the simplex method to the above formulation. After performing the necessary iterations, we find that the maximum value of P occurs when x = 2, y = 2, z = 0, with P = 10. Therefore, the maximum value of P is 10, and the solution for the given problem is x = 2, y = 2, and z = 0.

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Answer:

The relation is not a function.

Step-by-step explanation:

A function is a relation in which no two ordered pairs have the same input  and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input corresponds with exactly one output.

In this case, the answer is no.  The input value of 10 corresponds with two output values, 4 and 20.  It only takes one input value to associate with more than one output value to be invalid as a function.

Therefore, the given relation is not a function.

Using the given information, the measure of MG in the rhombus DFGH can be determined as 9.

In a rhombus, the diagonals are perpendicular bisectors of each other. Therefore, HD is perpendicular to MG and bisects it.

Since HD = 15, HM = 12, and HD bisects MG, we can determine that DG = GM = 15/2 = 7.5.

Since DFGH is a rhombus, FG is congruent to HD. Therefore, FG = 15.

By applying the Pythagorean theorem to triangle FGM, we can find the value of MG:

(FG)^2 = (GM)^2 + (FM)^2

(15)^2 = (7.5)^2 + (FM)^2

225 = 56.25 + (FM)^2

(FM)^2 = 168.75

FM = √168.75 ≈ 12.99

Finally, since HM = 12, MG = FM - GM = 12.99 - 7.5 = 5.49 ≈ 9.

The measure of MG in the Quadrilateral (rhombus) DFGH is approximately 9 units.

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Answer:

its B!!

Step-by-step explanation:

I took the test and got it wrong but the review said it was B

The pair of triangles in option A, C and D are congruent triangles.

What is triangle?

A triangle is a polygon with three edges and three vertices. It's one of the introductory shapes in figure. A triangle with vertices A, B, and C is denoted triangle Alphabet. In Euclidean figure, any three points, whennon-collinear, determine a unique triangle and contemporaneously, a unique aeroplane.

What is congruent triangle?

SSS: When all three sides are equal to each other on both triangles, the triangle is harmonious. AAS: If two angles and anon-included( you can suppose of it as outside) side of one triangle are harmonious to the corresponding corridor of another triangle, also the triangles are harmonious.

A) In the given figure, two angles and one side of the one triangle is equal to two angles and one side of the other triangle

By AAS consonance, two triangles are harmonious.

B) In the given figure, one angle and one side is equal

So, two triangles aren't harmonious

C) Then, two sides and one included angle of the one triangle is equal to two sides and one included angle of the other triangle

D) Then, two angles and one included side of the one triangle is equal to two angles and one included side of the other triangle.

thus, the brace of triangles in option A, C and D are harmonious triangles.

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Answer:

Step-by-step explanation:

A RIGHT triangle has TWO LEGS and a HYPOTENUSE ( the longest side)

Pythagorean Theorem for right triangles states:

Hypotenuse ^2  =  Leg1 ^2 + Leg2 ^2    

    if you sub in the three sides of the triangle and this is TRUE , it is a RIGHT triangle .

The triangle congruence theorem that could be used to show that triangle ADE is congruent to triangle CBE is Angle-Side-Angle Triangle Congruence Theorem also known as ASA Triangle Congruence Theorem

Congruence Theorem

Congruence theorem states that "if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other."

Given,

Here we need to identify the angle congruence theorem could you use to prove triangle ADE is congruent to triangle CBE.

While we looking into the given triangles we can say that;

=> ∠AED = ∠CEB

Because they are both vertically opposite angles and vertically opposite angles are equal.

From the given triangle, we are given that;

That is,

=> ∠DAE = ∠BCE

We are also know that

=> AE = CE

Therefore, this means that we have 2 corresponding angles and 1 corresponding included side that are congruent.

So, the congruence theorem that this represents is Angle-Side-Angle Congruence theorem.

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The streetlamp illuminates approximately B) 415.27 square meters of the street. So the correct option is (B) 415.27 square meters.

The area of a circle is given by the formula

\(A = \pi r^2,\)

where r is the radius of the circle. In this case, the diameter of the circle is given as 23 meters, so the radius is half of that, or 23/2 = 11.5 meters.

Using the formula for the area of a circle and approximating π as 3.14, we get:

\(A = 3.14 \times (11.5)^2\)

A ≈ 415.27

Therefore, the streetlamp illuminates approximately 415.27 square meters of the street. Rounded to the nearest hundredth, the answer is 415.27 \(m^2.\)

So the correct option is (B) 415.27 m2.

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Answer:

B) 415.27 square meters

Step-by-step explanation:

Answer:

The determinant of C is zero and does not have inverse.

Step-by-step explanation:

Let \(C = \left[\begin{array}{ccc}2&4&6\\3&6&9\\4&8&12\end{array}\right]\), since it is a matrix with 3 rows and 3 columns, we can determine its determinant by the Sarrus' rule:

\(\det(C) = \left|\begin{array}{ccc}2&4&6\\3&6&9\\4&8&12\end{array}\right|\)

\(\det(C) = (2)\cdot (6)\cdot (12)+(3)\cdot (8)\cdot (6)+(4)\cdot (4)\cdot (9)-(4)\cdot (6)\cdot (6)-(3)\cdot (4)\cdot (12)-(2)\cdot (8)\cdot (9)\)

\(\det (C) = 0\)

Since the determinant of C is equal to zero, then we conclude that C does not have an inverse according to the following definition of inverse matrix. That is:

\(C^{-1} = \frac{1}{\det(C)}\cdot adj(C)\) (1)

Where \(adj(C)\) is the adjugate matrix of C, defined as the transpose of the cofactor matrix of C.

The result of this expression is undefined due to the determinant.  

The values of a set are displayed along with how frequently they occur in a frequency table and in the given situation, (D) 25% of her students are in the beginner class.

A frequency table shows the values of a set together with how frequently they occur.

The frequency of a certain data value in your dataset is how frequently it appears.

You can learn which data values are typical and uncommon by using these tables.

To understand which alternatives appear more or less frequently in the dataset, frequency tables are useful.

This is useful for better understanding each variable and determining whether or not variables need to be recorded.

So, in the given situation after observing the given table:

We can easily tell that:

Total beginner: 0.25 out of 1.0

Which is 25%.

Then,

25% of students are in the beginner class which is 0.25.

Therefore, the values of a set are displayed along with how frequently they occur in a frequency table, and in the given situation, (D) 25% of her students are in the beginner class.

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Answer:

A 180 degrees

B   y=15

Step-by-step explanation:

The angles of a triangle add to 180

6y-7 + 2y+3 + 4y+4 = 180

Combine like terms

6y+2y+4y -7+3+4 =180

12y=180

Divide by 12

12y/12 =180/12

y = 15

The sum of the internal angles in a triangle sum up to 180°.

So,

∠A + ∠B + ∠C = 180°

(4y + 4)° + (6y - 7)° + (2y + 3)° = 180°

4y + 6y + 2y + 4 - 7 + 3 = 180

12y + 0 = 180

12y = 180

y = 180/12

y = 15

______

RainbowSalt2222 ☔

The exponential functions for the two scenarios given are -

a) \(y = 12500 (0.91)^x\), Price of car after 5 years is $7800.40.

b) \(y = 50 (1.03)^x\), Price of baseball card after 5 years is $57.96.

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 exponential function is in the form -

\(y=ab^x\)

Here y is the function, a is the constant base value, b is the rate of growth/depreciation and x is the time in years.

The first statement is -

A $12,500 car depreciates 9% each year.

The value for base is a = $12,500.

The value for rate is 9% = 0.09

Since, the price is depreciating the value for b is b = (1 - 0.09)

The exponential function is -

\(y = 12500 (1 - 0.09)^x\)

\(y = 12500 (0.91)^x\)

The value of car after 5 years can be obtained by substituting x = 5.

\(y = 12500 (0.91)^5\\y = 12500(0.6240)\\y=7800.40\)

Therefore, the equation is \(y = 12500 (0.91)^x\) and the value of car is $7800.40.

The second statement is -

A baseball card brought for $50 increases 3% in value each year.

The value for base is a = $50.

The value for rate is 3% = 0.03

Since, the price is increasing the value for b is b = (1 + 0.03)

The exponential function is -

\(y = 50 (1+0.03)^x\)

\(y = 50 (1.03)^x\)

The value of baseball card after 5 years can be obtained by substituting x = 5.

\(y = 50 (1.03)^5\\y = 50 (1.1592)\\y =57.96\)

Therefore, the equation is \(y = 50 (1.03)^x\)and the value of baseball card is $57.96.

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The half-life of radon-222 is 3 days, it will take an additional 3 days for the remaining 42% of the sample to decay, for a total of 6 days for the sample to decay completely.

The half-life of a radioactive is time for 50% of its particles to decay or disintegrate into a new element. The pace at which a radioactive material will decay is predicted using this indicator of an isotope's stability. An element's half-life, which differs substantially across various elements, is based on the unique characteristics of its nucleus.

For instance, the half-life of uranium-238 is 4.5 billion years whereas that of carbon-14 is 5,730 years. This indicates that half of the carbon-14 atoms in a sample will have decayed after 5,730 years, and half of the uranium-238 atoms will have decayed after 4.5 billion years.

How to solve?

(a) After 3 days, the sample has decayed to 58% of its original amount, which means that half of the original amount has already decayed. Therefore, the half-life of radon-222 is 3 days.

(b) Since the half-life of radon-222 is 3 days, it will take an additional 3 days for the remaining 42% of the sample to decay, for a total of 6 days for the sample to decay completely.

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Step-by-step explanation:

5- 24/6 -8(8)

5-4 -64

-65

Answer:

-63

Step-by-step explanation:

insert in the missing value so it will be

5 - 24/6 - 8*8              you do division and multiplication first

24/60=4  and  8*8=64  so

5 - 4 -64 = negative 63

Answer: The equation, solved for x will be x = (y - y₁) / m + x₁. Then the correct option is B.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one. The linear equation is given as,y = mx + c Where m is the slope of the line and c is the y-intercept of the line. The linear equation is given below.y - y₁ = m(x - x₁) Then solve the equation for x, then the equation will be y - y₁ = m(x - x₁)(y - y₁) / m = x - x₁x = (y - y₁) / m + x₁The equation is solved for x will be x = (y - y₁) / m + x₁.Then the correct option is B.

Answer

n = 30

Explanation

To solve for n, you have to isolate it by 'getting rid' of the 18, 2, and negative sign.

You 'remove' these numbers in backward PEMDAS.

So to 'remove' the 18, you subtract both sides by 18.

3-18 = -15

-n/2+18-18 = -n/2

So now you are left with -15 = -n/2.

To 'get rid' of the 2, you multiply each side by 2.

-15×2 = -30

-n/2×2 = -n

And now you have -30 = -n.

To 'get rid' of the negative sign, you multiply both sides by -1.

-30×-1 = 30

-n×-1 = n

So you get 30 = n or n = 30.

If you still have questions I'll answer them in the comments (under this question).

Answer:

Step-by-step explanation:

Answer:

K= 4

Step-by-step explanation:

Answer:

| AD | ≈ 48 m

Step-by-step explanation:

Answer:

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

Given expression:

Evaluate the expression if a = 5 and b = - 3:

If an event is likely to occur, the probability that the event will occur is between 3/4 and 1.

Probability determines how likely it is that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

If the probability lies between 0 and 1/5, it is likely that the event would not occur. If the probability lies between 1/5 and 1, it is likely that the event would occur.

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Answer:

75% and 100%

Step-by-step explanation:

The probability spectrum is (the spaces are supposed to be equal):

|----------------------|--------------------|--------------------|---------------------|

0%                    25%               50%              75%                   100%

impossible   unlikely          equal            likely                  certain

Answer:

Step-by-step explanation:

The next four terms should be 16, 32, 64, 128 squares. This is similar to linear functions because, linear functions have a slope that never changes and as you can see here question on E the numbers are doubling and doing it consistently like a linear function

It is a geometric series.

The ratio of the second to first term is= \(\frac{4}{10}=\frac{2}{5}\)

The ratio of the third to second term is= \(\frac{\left(\frac{8}{5}\right)}{4}=\frac{2}{5}\)

The ratio of the fourth to third term is=\(\frac{\left(\frac{16}{25}\right)}{\left(\frac{8}{5}\right)}=\frac{2}{5}\)

Since the common ratios are same so it is a geometric series.

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Answer:

m∠XBC = 135

Step-by-step explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA

3p – 6 = p + 4 + 84

3p – 6 = p + 88

2p – 6 = 88

2p = 94

From the simplified expression, we need to find the value of p first

From the last line we can see that;

2p =94

Divide both sides by 2:

2p/2 =94/2

p = 47

From the expression, m∠XBC =3p-6

m∠XBC = 3(47)-6

m∠XBC = 141 -6

m∠XBC = 135

Hence the measure of m∠XBC is 135

Answer:

15000

Step-by-step explanation:

Answer:

15kg = 15,000 grams

Step-by-step explanation:

hope this helped if it did mark brainlest

and let me know

The nth term of the sequence can be expressed as follows:an = 1(-4)n-1The formula for the nth term of the given geometric sequence is:an = -4n + 3.

The nth term of the given geometric sequence 1 1 1 - 1 4 16 64 can be obtained by multiplying the term preceding the current term by 4 and adding 1.

We can easily derive the formula of the nth term of the given sequence by observing the sequence. Let's begin by observing the given sequence:1 1 1 - 1 4 16 64

The first three terms of the sequence are the same, so the common ratio is 1. The fourth term is -1, and we can see that the fifth term is obtained by multiplying the fourth term by -4. The sixth term is 16, which is obtained by multiplying -4 by -4. Finally, we get 64 by multiplying the sixth term by -4. Therefore, the sequence is geometric with a common ratio of -4, starting with 1.

The nth term of the sequence can be calculated using the formula:an = a1rn-1where an is the nth term of the sequence, a1 is the first term of the sequence, r is the common ratio, and n is the number of terms. The first term a1 is 1, and the common ratio r is -4.

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The area that park will need to cover 67.95 square feet of the ramp.

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

Suppose the length of the wood be x.

The length of wood forms the right triangle as shown in the figure.

Apply trigonometric ratio to the triangle to get,

Cos (28°) = 12/x

⇒ x = 12/Cos (28°) = 13.59

Now, the area of the wood is given as,

Length × width

⇒ 13.59 × 5 = 67.95

Hence, the area of wood required is 67.95 square feet.

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