write a numerical expression Add 91, 129, and 16, and then divide
by 44. hurry i need help

Answer:

-7

Step-by-step explanation:

x2 + 4x - 1

(-1)2 + 4(-1) - 1

-2 + -4 - 1

-7

Answer:

this is a 60 60 60 triangle, so one exterior angle is 120 degrees.

Step-by-step explanation:

hope it helps!

Answer:

Step-by-step explanation:

Given the inequality expression |x| < a. The two cases for solving the expression are x<a and -x < a (or x>-a)

Note that the absolute value of a number will return both its positive and negative value. That's why the value of x i.e |x| returns both x and -x in the expression above.

The connecting word of the expression is that 'the absolute value of variable x is less than a' where a can take any value.

The current population density on Plumeria Island is 125 people per square kilometer.

Plumeria Island is currently home to 500,000 people and spans 4,000 square kilometers. Last year, 150,000 children were born on the island and 50,000 people immigrated there. However, during the same period, 100,000 people died and 10,000 emigrated from the island.

To determine the current population density, we need to divide the total population by the total area. So, we divide 500,000 by 4,000 to get 125 people per square kilometer.

However, the paragraph states that the island could support up to 350 people per square kilometer. Since the current population density is lower than the island's capacity, it indicates that the island is not yet overcrowded.

In conclusion, the current population density on Plumeria Island is 125 people per square kilometer.

Learn more about population density:

https://brainly.com/question/16894337

#SPJ11

The number of yards saved by taking the shortcut is 40 yards

The shortcut is the hypotenus of the triangle :

shortcut = √80² + 60²

shortcut= √10000

shortcut = 100

Total yards walked when shortcut isn't taken = 140 yards

Yards saved = Total yards walked - shortcut

Yards saved = 140 - 100 = 40

Therefore, the number of yards saved is 40 yards

Learn more on distance:https://brainly.com/question/28551043

#SPJ1

Answer: 12

Step-by-step explanation:

Because a translation is a rigid motion, we know that YZ corresponds to GH (and they will have the same length).

Now, we can the fact that EFGH is a rectangle to obtain that EF=GH=12 (since opposite sides of a rectangle are congruent)

Hence, YZ=12.

Answer:

D. 5x-15y+20

Step-by-step explanation:

If you distribute 5 to all the numbers in the parenthesis, you get 5x-15y+20. This is because 5 multiplied by x is 5x, 5 multiplied by 3y is 15y, and 5 multiplied by 4 is 20. I hope this helps!

Answer:

D

Step-by-step explanation:

you have to distribute the number 5 between all of the numbers. Is because

5 * x is 5x  3y is 15y, and 5 *4 is 20.

A solution that does not simultaneously satisfy all constraints is called an infeasible solution.

Option (C) is correct.

What is linear programming?

Linear programming, also known as linear optimization, is a method for achieving the best result in a mathematical model with requirements represented by linear relationships. Linear programming is a special case of mathematical programming.

In linear programming, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.

In some cases, there is no feasible solution area, i.e., there are no points that satisfy all constraints of the problem. An infeasible LP problem with two decision variables can be identified through its graph. For example, let us consider the following linear programming problem.

Minimize z = 200x1 + 300x2

subject to

2x1 + 3x2 ≥ 1200

x1 + x2 ≤ 400

2x1 + 1.5x2 ≥ 900

x1, x2 ≥ 0

The region located on the right of PQR includes all solutions, which satisfy the first and the third constraints. The region located on the left of ST includes all solutions, which satisfy the second constraint. Thus, the problem is infeasible because there is no set of points that satisfies all three constraints.

Hence, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.

To learn more about linear programming, visit:

https://brainly.com/question/25828237

#SPJ4

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

For more such questions on Probability

https://brainly.com/question/30390037

#SPJ8

Answer:

7/8= 0.875

7/20= 0.35

18/20= 0.9

7/8= 0.875

68/50= 1.36

25/20= 1.25

26/25= 1.04

11/10= 1.10

11/16= 0.6875

9/16= 0.5625

33/40= 0.825

23/40= 0.575

14/10= 1.4

29/25= 1.16

39/40= 0.975

Step-by-step explanation:

Answer:

.875, .35, .9, .875, 1.36, 1.25, 1.04, 1.1, .6875, .4375, .825, .575, 1.4, 1.16, .975

Step-by-step explanation:

Divide the nymeratir by the denominator- n÷ d= x

btw I did each rown going down

approximately 23 child tickets were sold on Saturday at the movie theater.

To find the number of child tickets sold at the movie theater on Saturday, we can follow these steps:

1. Let's assume the number of child tickets sold is "x". Since the child admission is $5.60, the total revenue from child tickets would be 5.60x dollars.
2. Given that three times as many adult tickets were sold, the number of adult tickets sold would be 3x. Since the adult admission is $8.90, the total revenue from adult tickets would be 8.90 * 3x dollars, which can be simplified to 26.70x dollars.
3. The total sales for the day is given as $742.90. Therefore, the sum of the revenues from child and adult tickets should equal $742.90:
  5.60x + 26.70x = 742.90
4. Combining like terms, we get:
  32.30x = 742.90
5. To isolate x, the number of child tickets sold, we divide both sides of the equation by 32.30:
  x = 742.90 / 32.30
6. Evaluating the division, we find that x is approximately equal to 23.0078.
7. Since we can't sell a fraction of a ticket, we round down to the nearest whole number. Therefore, approximately 23 child tickets were sold on Saturday at the movie theater.

Learn more about revenue here :

https://brainly.com/question/16232387

#SPJ11

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m of AB using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(- 3, 2)

m = \(\frac{2-2}{-3-6}\) = \(\frac{0}{-9}\) = 0

A line with a slope of zero is a horizontal line, parallel to the x- axis.

Thus a line perpendicular to AB is a vertical line parallel to the y- axis.

The slope of a vertical line is undefined

Answer:

y = -5/3x + 2

Step-by-step explanation:

I am not exactly sure what your question is, but to find the equation of the line, you can plug in the x and y coordinates to the template which is y=mx+b. Since you already have the slop (m) you just need to find b which you can do by setting up the equation: 2 = -5/3*0 + b, and solving for b. This gives you a value of 2 for b. So your final equation would be y = -5/3 + 2.

Answer:

235 sq. cm

Step-by-step explanation:

Split into three different shapes

18*3=54

15*6=90

13*7=91

54+90+91=235

Answer:

60.42%

Step-by-step explanation:

Number of home runs hit by Adrian Beltre in 2004 = 48

Number of home runs hit by Adrian Beltre in 2005 = 19

To find:

Percentage decrease in home run production from 2004 to 2005.

Solution:

To find the percentage decrease, first of all we need to find the decrease in the number of home runs and then we will divide with the number of home runs in 2004 and then finally will multiply the result with 100 to get the percentage decrease.

Decrease in the number of home runs = Number of home runs in 2004 - Number of home runs in 2005 = 48 - 19 = 29

\(\text{Percentage of decrease in Home runs} = \dfrac{\text{Decrease in home runs}}{\text{Number of home runs in 2004}}\times 100\\\Rightarrow \text{Percentage of decrease in Home runs} = \dfrac{29}{48}\times 100 \approx \bold{60.42\%}\)

Therefore, by 60.42% Beltre's home run production has decreased from 2004 to 2005.

Percent decrease from 2004 to 2005 is 60.14%

Number of home run hit in 2004 = 48

Number of home run hit in 2005 = 19

Percent decrease from 2004 to 2005

Percent decrease from 2004 to 2005 = [(48 - 19) / 48]100

Percent decrease from 2004 to 2005 = [(29) / 48]100

Percent decrease from 2004 to 2005 = 60.14%

https://brainly.com/question/16919407?referrer=searchResults

100% = $37,560

18% = ?

(18 × 37560) ÷ 100

= 676,080 ÷ 100

= $6760.8 commission

Answer:

3

Step-by-step explanation:

if you draw a line y=2 will touch the graph in 3 points

Answer:

EF=35

EG=22

Step-by-step explanation:

EF

7y-14=2y+21

5y=35

y=7

EF=7(7)-14=49-14=35

EG

15x+7=12x+10

3x=3

x=1

EG=15(1)+7=15+7=22

Answer:

(a). 35 units ; (b). 44 units

Step-by-step explanation:

(a). 7y - 14 = 2y + 21 ⇒ y = 7

EF = 7(7) - 14 = 35 units

(b). EJ = JG

15x + 7 = 12x + 10 ⇒ x = 1

EG = 2 × (15(1) + 7) = 44 units

Answer:

A 35

Step-by-step explanation:

Soren has 7 pennies for every 6 dimes, so if he has 30 dimes, he has 7 * 30 / 6 = <<7*30/6=35>>35 pennies.

Therefore, the answer is 35 pennies, or option A.

1. We can calculate the slope (m): m = 498.7

2. We have the equation of the trend line: y = 498.7x - 1009.75

3.  The forecasted sales for year 5 is approximately 1483.75.

4.  The forecasted sales for year 6 is approximately 1982.45.

To use the Linear Trend Equation for forecasting sales in year 5 and 6, we need to calculate the equation of the trend line first. The formula for a linear trend line is:

y = mx + b

Where:

y = dependent variable (sales)

x = independent variable (year)

m = slope of the line

b = y-intercept

To find the slope (m) and y-intercept (b), we can use the least squares method or the method of linear regression. However, since we only have four data points, we'll use a simplified version of the linear regression formula:

m = [(nΣxy) - (ΣxΣy)] / [(nΣx^2) - (Σx)^2]

b = (Σy - mΣx) / n

Let's calculate the values:

n = number of data points = 4

Σx = sum of years = 1 + 2 + 3 + 4 = 10

Σy = sum of sales = 230 + 235 + 239 + 243 = 947

Σxy = sum of (year * sales) = (1 * 230) + (2 * 235) + (3 * 239) + (4 * 243) = 4861

Σx^2 = sum of (year^2) = (1^2) + (2^2) + (3^2) + (4^2) = 30

Now we can calculate the slope (m):

m = [(nΣxy) - (ΣxΣy)] / [(nΣx^2) - (Σx)^2]

= [(4 * 4861) - (10 * 947)] / [(4 * 30) - (10^2)]

= [19444 - 9470] / [120 - 100]

= 9974 / 20

= 498.7

Next, let's calculate the y-intercept (b):

b = (Σy - mΣx) / n

= (947 - (498.7 * 10)) / 4

= (947 - 4987) / 4

= -4039 / 4

= -1009.75

Now we have the equation of the trend line:

y = 498.7x - 1009.75

To forecast sales in year 5, substitute x = 5 into the equation:

y = 498.7 * 5 - 1009.75

= 2493.5 - 1009.75

= 1483.75

Therefore, the forecasted sales for year 5 is approximately 1483.75.

To forecast sales in year 6, substitute x = 6 into the equation:

y = 498.7 * 6 - 1009.75

= 2992.2 - 1009.75

= 1982.45

Therefore, the forecasted sales for year 6 is approximately 1982.45.

Learn more about equation from

https://brainly.com/question/29174899

#SPJ11

Answer:

Step-by-step explanation:

The standard form equation for a circle is

\((x-h)^2+(y-k)^2=r^2\)

where h and k are the coordinates of the center. Our center is given as (-6,7)  and the radius is given as 9, so that information fits into our standard form like this:

\((x-(-6))^2+(y-7)^2=9^2\) and simplified, it looks like this:

\((x+6)^2+(y-7)^2=81\)

That's choice C

The value of the variable 'x' shown in th the geometrical figure is equal to 2cm

What is line bisector?

A line bisector divides the line into two equal parts. For a line of length ' L ', the bisector divides the line into two equal parts of length L/2 each.

Given is a geometrical figure in which RS is bisector of AB at point T and RS = 36.

RS bisects AB at point T. Therefore, we can say that T is the mid-point of AB. So, we can write -

AT = TB

25 - 3x = 2y - 5

- 3x - 2y = - 5 - 25

-(3x + 2y) = - 30

3x + 2y = 30             ...[1]

RS = 36

RT + TS = 36

2y - 6 + 18 = 36

2y + 12 = 36

2y = 24

y = 12

Substitute y = 12 in [1], we get -

3x + 2 x 12 = 30

3x + 24 = 30

3x = 6

x = 2

Therefore, the value of x = 2

To solve more questions on line bisector, visit the link below-

https://brainly.com/question/13792156

#SPJ1

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

To learn more about square visit: https://brainly.com/question/29286039

#SPJ4

Answer:

30

Step-by-step explanation:

3 equals 10% of what? ​

10% = 0.1

3 = 0.1x

divide both sides by 0.1

3/0.1 = 0.1x/0.1

x = 30

Answer:

x =10

Step-by-step explanation:

10/100 = 3/x

cross multiply and you get 300 = 10x

divide by 10 on both sides 10x/10 get canceled out you want to get the varaible on one side of the equation then divide 300/10 and you get 30 so your final answer is x=30  hope this helped you sorry if incorrect

Answer:

triangle C

Step-by-step explanation:

the sides can be multiplied by 2 and be the same as the original triangle

It is given that the principle of $5720 was deposited at the rate of 6%. The interest for 4 years is to be calculated so it follows:

Hence the interest is given by:

Hence the interest earned in four years is $1372.8.

The correct standard form for the given LP model is option C: Max(Z) = 3x1 + 2x2, subject to the constraints 11x1 + 3x2 - 5 <= 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70, with x1, x2 >= 0. This option aligns with the original objective function and constraints of the LP model.

To convert the LP model into standard form, we need to rewrite the constraints with the variables on the left-hand side and constants on the right-hand side, with inequality signs (<= or >=) consistent throughout. Additionally, we introduce slack or surplus variables to transform any non-standard constraints.

In option C, the constraints are correctly transformed as 11x1 + 3x2 - 5 = 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70. These constraints are consistent with the original model. The objective function remains the same, Max(Z) = 3x1 + 2x2.

Option A has incorrect signs in the transformed constraints, and option B introduces surplus variables (+5) instead of slack variables (-5), resulting in an incorrect standard form. Option D includes a non-standard term with a dollar sign, which is inconsistent with linear programming conventions.

Therefore, option C is the correct standard form, adhering to the original LP model's objective function and constraints.

Learn more about LP model here : brainly.com/question/33051152

#SPJ11

Answer:

x ≥ 8

Step-by-step explanation:

5x + 14 ≥ 54

1) subtract 14 on both sides

5x ≥ 54 - 14

5x ≥ 40

2) divide 5 on both sides

x ≥ 40 ÷ 5

x ≥ 8

Sample answer:

Step-by-step explanation: (My answer)

1) Subtract 8.5 and 3.5, that equals 12.

\(8.5x - 3.5x = -78\)

2) Multiply 78 and 12, that equals 6.5 .

\(\frac{12x}{12} = \frac{78}{12}\)

3) Check your answer.

\(-8.5 (6.5) -3.5 (6.5) = -78\)

Once you've done that, the answer you should get is 78.

78 is equal to 78, that is your final answer and it is correct.

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

<95141404393>