7-3(5x + 2) = 3 (7 - 3x) +4

find x

Answer:

Y is on the top

X is on the bottem

Step-by-step explanation:

The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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Answer:

0.542

Step-by-step explanation:

divide the liter by 1000 and get your answer! have a great day

542 liters is approximately equal to 0.542.

Given that a quantity, 542 L we need to convert it into kL,

To convert liters (L) to kiloliters (kL), you need to divide the given value in liters by 1,000 since there are 1,000 liters in 1 kiloliter.

In this case, to convert 542 L to kL, you can use the following formula:

kL = L / 1000

Plugging in the given value:

kL = 542 L / 1000

Dividing 542 by 1000, you get:

kL ≈ 0.542 kL

Therefore, 542 liters is approximately equal to 0.542.

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Step-by-step explanation:

5x +10° + 58° = 11x + 2°( Exterior angle of a triangle is equal to the sum of two opposite interior angles)

5x + 68° = 11x + 2°

11x - 5x = 68° - 2°

6x = 66°

x = 66° / 6

Therefore x = 11°

Hope it will help you :)

the answer

155

324

5/9 (87/3(1/12)= 155/324

Answer:

2q+5=s

Step-by-step explanation:

You wouldn't subtract the 5 extra credit, you would add it

Answer:

2q + 5

Step-by-step explanation:

Each question is worth 2 points and Q represents every question. You would only add the 5 because Katelyn gets  5 extra points when she answers only one question.

Answer:

Step-by-step explanation:

-1

Answer:

yes

Step-by-step explanation: i did a test like 2 weeks ago and this was a question and i got it right

Answer:

(5x+4)(x-3)

Step-by-step explanation:

Answer:

(x - 3)(5x + 4)

Step-by-step explanation:

5x² - 11x - 12

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 5 × - 12 = - 60 and sum = - 11

the factors are - 15 and + 4

use these factors to split the x- term

5x² - 15x + 4x - 12 ( factor first/second and third/fourth terms )

= 5x(x - 3) + 4(x - 3) ← factor out (x - 3) from each term

= (x - 3)(5x + 4)

True.

The expression c(n,r), also known as "n choose r" or the binomial coefficient, represents the number of ways that r elements can be selected from a set of n elements without regard to order. It is commonly used in combinatorics, probability, and statistics. The formula for c(n,r) is c(n,r) = n!/r!(n-r)!, which can be calculated using factorials.

For example, c(5,2) = 10, which represents the number of ways to choose 2 elements from a set of 5 elements (i.e., {1,2}, {1,3}, {1,4}, {1,5}, {2,3}, {2,4}, {2,5}, {3,4}, {3,5}, {4,5}).

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The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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The figure shown is a rectangular prism with a pyramid on top. To find the volume of this figure, we need to first find the volume of the rectangular prism and then add the volume of the pyramid.

The volume of the rectangular prism is calculated as length times width times height. From the diagram, we can see that the length of the prism is 7 cm, the width is 4 cm, and the height is 5 cm. Therefore, the volume of the rectangular prism is 7 x 4 x 5 = 140 cubic centimeters.

To find the volume of the pyramid, we need to first find the area of the base, which is a rectangle with dimensions 7 cm and 4 cm. The area of the base is therefore 7 x 4 = 28 square centimeters. To find the height of the pyramid, we can use the Pythagorean theorem since we know the other two sides are 5 cm and 4 cm. Solving for the height, we get sqrt(5^2 - 4^2) = 3 cm.

Now, we can find the volume of the pyramid by using the formula (1/3) x base area x height. Plugging in our values, we get (1/3) x 28 x 3 = 28 cubic centimeters.

Finally, we add the volume of the rectangular prism and the pyramid to get the total volume of the figure: 140 + 28 = 168 cubic centimeters. Therefore, the answer is 168 cm3.

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The strategy to use to find out how much framing material they will need is d. Cover the poster with square-inch grid paper to find the area

Cover the poster with square-inch grid paper to find the area - This method would give the total number of square inches of the poster and would be a good starting point for determining the size of the frame required.

The recommended strategy would be to measure the poster in inches with a ruler to determine the dimensions, then use that information to calculate the total area. This would be a good starting point for determining the size of the frame required.

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Answer

12

Step-by-step explanation:

click on square root

click on 144

then your answer will pop out below your equation

Answer:

the restaurant should cook 132 pounds of pasta for the party of 5656 people.

Step-by-step explanation:

If a recipe calls for 33 pounds of pasta to serve 1414 people, then the amount of pasta needed to serve 5656 people can be calculated using the following proportion:

33 pounds / 1414 people = x pounds / 5656 people

Solving for x gives:

x = (33 * 5656) / 1414 = 132 pounds

Therefore, the restaurant should cook 132 pounds of pasta for the party of 5656 people. I hope this helps!

Answer:

in decimal it is 36.72, in fraction it is 918/25

Step-by-step explanation:

Answer:

-10 and 3

Step-by-step explanation:

-10 x 3 = -30

-10 + 3 = -7

Answer: -10 and 3

Step-by-step explanation:

-10 x 3 = -30 and -10 + 3= -7

Therefore, based on the given information, the estimated age of the tomb is approximately 3,970 years.

To estimate the age of the tomb based on the radioactive carbon-14 (C-14) content in the cypress beam, we can use the decay equation:

A = A₀ * e*(kt)

Where:

A = Final amount of radioactive substance (55% of the original C-14 content)

A₀ = Initial amount of radioactive substance (100% of the original C-14 content)

k = Decay constant (ln(2) / half-life of C-14)

t = Time (age of the tomb)

Given that the half-life of C-14 is approximately 5600 years, we can calculate the decay constant:

k = ln(2) / 5600 years

Now we can plug in the values:

0.55A₀ = A₀ * e*((ln(2) / 5600 years) * t)

Dividing both sides by A₀:

0.55 = e*((ln(2) / 5600 years) * t)

Taking the natural logarithm of both sides:

ln(0.55) = (ln(2) / 5600 years) * t

Now we can solve for t, the age of the tomb:

t = (ln(0.55) * 5600 years) / ln(2)

Evaluating the expression:

t ≈ 3,970 years

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Answer:

3/7 (simplified)

Step-by-step explanation:

The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.

The length of PR from triangle PQR is 3.6

Since we know that ST is parallel to PQ, we can conclude that the triangle RST is somehow similar to triangle PQR. We can try to find each side pairs that share equals angles. Those side pairs are:

ST and PQ

RS and RP

TR and QR

From the question, we know that:

SR =2.4

PQ = 1.8

RQ = 3

ST = 1.2

We can find the lenght of PR by finding the ratio between the two triangles:

PQ =  PR

ST      SR

1.8 = PR

1.2      2.4

6   = PR

 4       2.4

PR = 3.6

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The mean forecast error (MFE) can indicate if a forecast is consistently high. MFE measures the average difference between the forecasted values and the actual values over a given period.

If the MFE consistently shows a positive value, it suggests that the forecast tends to be higher than the actual values on average. The mean forecast error (MFE) is a common error measure used by forecasters to assess the accuracy of their forecasts. It is calculated by taking the average of the differences between the forecasted values and the corresponding actual values.

If the MFE consistently yields a positive value, it indicates that the forecast tends to be consistently higher than the actual values. This suggests a systematic bias in the forecasting process, where the forecaster consistently overestimates the future outcomes. The magnitude of the MFE also provides insights into the degree of overestimation, with larger positive values indicating a more significant discrepancy between the forecasted and actual values. By identifying such consistently high forecasts, forecasters can make adjustments to improve the accuracy and reliability of their predictions.

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Answer:

Lisa is 23 years old.

Step-by-step explanation:

36 (total) - 13 (brothers age) = 23 (Lisa's age)

23+13=36

Answer:

6 you would calculate it just like vertical length

Step-by-step explanation:

60n=180

n=3

180(2-3)

360-540=-180

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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The inverse function of the function f(x) = -3x/8 is f⁻¹(x) = -8x/3

To find the inverse of a function, we need to switch the roles of x and y and then solve for y.

Let's begin by rewriting the function f(x) in terms of y:

y = f(x) = -3x/8

Now, let's switch x and y:

x = -3y/8

Next, we'll solve for y:

x = -3y/8

8x = -3y

y = -8x/3

So the inverse function of f(x) = -3x/8 is f⁻¹(x) = -8x/3

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Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

Answer:

1,600 seats in the theater

Step-by-step explanation:

well it seems like each row is being increased by 8 seats each time.

we start with 4 seats in the 1st row. 12 in the 2nd. and 20 in the 3rd. I will make a chart showing you how many seats are in each row.

4th row - 28  5th row - 36   6th row - 44   7th row - 52   8th row - 60   9th - 68   10th - 76   11th - 84    12th - 92   13th - 100    14th - 108   15th - 116   16th- 124    17th - 132   18th - 140    19th - 148    20th - 156

if we add these all together you will get 1,600

Answer:

1600 seats

Explanation:

1st row = 4 seats, 2nd row = 12 seats, 3rd row = 20 seats

This is arithmetic progression with first term (a) being 4 and common difference (d) of 8 and total term (n) of 20.

Sum of arithmetic series:

\(\sf S_n = \dfrac{n}{2} ( 2a + (n-1)d)\)

insert values

\(\sf S_{20} = \dfrac{20}{2} ( 2(4) + (20-1)8)\)

\(\sf S_{20} = 1600\)