9. ax + by = (a - b), bx - ay = (a + b)​

The DJ will charge them $575.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

Booking fee for DJ = $350

Rate for an hour = $45

Let x be the number of hours DJ is lasting.

Expression to find the total charge for x hours is 350 + 45x.

The Martins want to book the DJ for a party that will last 5 hours.

Cost for the DJ party for Martins = 350 + (45 × 5) = $575

Hence the cost for the DJ party booked by Martins is $575.

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We need to first make these improper fractions. 5 = 40/8, so 40/8+6/8 = 46/8. Similarly, 4 = 20/5, so 20/5+4/5=24/5.

So we need to find the value of 46/8+24/5. Multiply the first fraction by 5/5 and second fraction by 8/8 to get the same denominator. We get (46*5+24*8)/8*5 = 422/40. This is equal to 400/40 + 22/40 = 10+22/40.

So the third answer choice is correct.

Hope that helped!

Answer:

x = 5

Step-by-step explanation:

a || b and a line intersecting them is their transversal.

\( \therefore m\angle 1=m\angle 5\\(corresponding \:\angle 's) \\\\

\therefore 60 - 2x = 70 - 4x\\\\

\therefore 4x - 2x = 70 - 60\\\\

\therefore 2x = 10\\\\

\therefore x =\frac{10}{2} \\\\

\huge \orange {\boxed {\therefore x = 5}}\)

9514 1404 393

Answer:

  7.92

Step-by-step explanation:

The value of x can be found by taking logarithms.

  x·log(2) = log(243)

  x = log(243)/log(2)

  x ≈ 7.9248125...

  x ≈ 7.92

__

A graphing calculator offers a couple of different options for solving the problem.

Answer:

c

Step-by-step explanation:

OK 250 divided by 40 equals 6.25 so she would need 6 bags at least, i would say its your answer but you said its wrong so

Answer:

Solution given:

Annie needs 250 lb of cement to fix the outer step.

Each bag hold 40 lb of cement.

Now

40 lb =1bag

we need

250lb= ? bag.

we have

no of bag =needed lb/1 bag's lb=250/40=250/40=6.25

we do not need more than 7 bags

Annie needs 7 bags.

So

The required inequality is:

b≥7.

Answer:

the answers are 10(x+15)+20(x+30) and 10x+150+20x+600 and 30x+750

Step-by-step explanation:

the first one becuze that what it would look like if written out then the second one becuze that what it would look like if you distributed the 10 and the 20 that outside the parentheses then the third option because you would then combined like numbers so you would do 10x + 20x to get 30x and 600 + 150 to get 750

hope this help please give brainlist

Answer:

The ones  with asterisks below are correct

Step-by-step explanation:

10 days times (x minutes reading/per day + 15 minutes writing/per day)

+ 20 days times (x minutes reading/per day + 30 minutes writing/per day)

= 10(x+15) + 20(x+30) *****

= 10x + 10*15    +    20x + 20*30

= 10x + 150 + 20x + 600  *****

= 30x + 750 *****

Hope this helps, but have to go now.

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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The angles that we have in the image here are:

When two angles are measured, they sum up to 180. They are said to be supplementary angles.

On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.

This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.

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The actual distance between the two cities is 70 kilometers.

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

Given that;

The distance between 2 cities is 3.5 cemtimetes

the map uses a scale in which 1 centimeter represents 20 kilometers

Since, One centimeter represents 20 kilometers

3.5 x 20 = 70

Theefore, the actual distance between the two cities;

70 kilometers.

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Answer:

\(P(Green\ and\ Green) = \frac{25}{144}\)

Step-by-step explanation:

Given

\(Green=5\)

\(Blue = 7\)

Required

\(P(Green\ and\ Green)\)

This is calculated as:

\(P(Green\ and\ Green) = P(Green) * P(Green)\)

Since, it is a probability with replacement, we have:

\(P(Green\ and\ Green) = \frac{Green}{Total} * \frac{Green}{Total}\)

So, we have:

\(P(Green\ and\ Green) = \frac{5}{12} * \frac{5}{12}\)

\(P(Green\ and\ Green) = \frac{25}{144}\)

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

a₂ = 14 , a₃ = 11

Step-by-step explanation:

Given the first term a₁ = 17 , then

a₂ = a₁ - 3 = 17 - 3 = 14

a₃ = a₂ - 3 = 14 - 3 = 11

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Answer: It is not long enough.

Step-by-step explanation:

Ok, we know that the "rule" for the distance between the base of the ladder and the wall is that, for each 4 ft that the ladder rises, we must have 1 foot between the base of the ladder and the wall.

then, for a 50 feet wall, the ladder must rise 50 ft, this means that the base of the ladder must be:

50ft/4 = 12.5 feet away from the wall.

Now, these two values can be thought as the cathetus of a triangle rectangle, and the ladder will be the hypotenuse, then we have (using Pythagoras theorem)

H = √(12.5ft^2 + 50ft^2) =  51.54 ft

So the theoretical safe value is bigger than the one we have, this means that the 51-foot ladder is not long enough.

Answer:

12 units up (2, 19) 12 units down (2, -5) 12 units to the right (14,7) 12 units to the left (-10,7) any of these points are answers.

The lower the standard deviation, the less variability in a distribution.

Variability in a distribution is a measure of how spread out the data is. It is measured using metrics such as the range, variance, and standard deviation. These metrics are used to quantify the spread of the data and to compare the variability of different distributions.

Therefore, the correct answer is as given above

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answer:

X' = (1,-9)

Y' = (-7,3)

Z' = (-5,-6)

step-by-step explanation:

X = (1,9) so - - > X' = (1,-9)

Y = (-7,-3) so - - > Y' = (-7,3)

Z = (-5,6) so - - > Z' = (-5,-6)

Answer:

To find the value of y that satisfies the given equations, let's solve the system of equations using the method of elimination.

System A:

-3x + y = -9

3x - y = -9

Adding the two equations together eliminates the variable 'y':

(-3x + y) + (3x - y) = -9 + (-9)

-3x + 3x + y - y = -18

0 = -18

The resulting equation is 0 = -18, which is not true. This means that System A has no solution.

Now, let's consider System B:

3x - y = -9

In this case, we only have one equation with two variables, so we cannot determine a unique solution for y. The value of y can be any real number.

Therefore, for System B, y can be any real number.

Approximately 99.7% of housing prices are between a low price of $108,000 and a high price of $162,000.

These approximate percentages are defined by the Empirical Rule, for a normally distributed variable:

As we want the interval with a percentage of 99.7%, the bounds within three standard deviations of the mean are given as follows:

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Answer:

18

Step-by-step explanation:

g(y) = y² − 3y

g(6)=6²-3(6)

=36-18

=18

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The time take to fill the pool will be 494 hours.

Inlet pipe fills in  38 hours = 1 pool

Inlet pipe fills in 1 hours = 1/38

Drain pipe empty in 39 hours = 1 pool

Drain pipe empty in 1 hour = 1/39

If both pipes are opened together then in pool fills in 1 hour =  1/38 - 1/39

= 1/1482

Therefore, 1/1482 fills in 1 hour.

. Therefore, 1/3 will be:

= 1/3 × 1482

= 494 hours.

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Answer: 120 beads

Step-by-step explanation:

480 divided by four is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

(so many typos in question so I do not know the names.)

Answer: 120

Step-by-step explanation:

480/4 is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

here, we have,

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.

In Δ PQR and ΔXYZ, as shown in figure,

we can identify that PQ = XY, PR = XZ,

and QR = YZ

and ∠P = ∠X,

∠Q = ∠Y and ∠R = ∠Z.

Then we can say that Δ PQR ≅ ΔXYZ.

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Answer:

  $700 for a chair and a table

Step-by-step explanation:

Let t and c represent the price of a table and a chair, respectively. The given relations are ...

  10c = 4t

  15c +2t = $4000

Divide the first equation by 2 and substitute for 2t:

  5c = 2t

  15c +5c = $4000

  20c = $4000

  c = $200

  t = 5c/2 = 5($200)/2 = $500

The total price of a chair and a table is ...

  $200 +500 = $700 . . . . price of a chair and a table

Answer:

65

Step-by-step explanation:

Answer:1.2x+5 2.2(x+5) 3.(x+5)^2

Step-by-step explanation: