Help me with this please

Answer:

x=−4 or x=9

Step-by-step explanation:

1- As we know the formula for Area of rectangle = length x width

2- Multiply given width = (x+1) with length = (x-6)

3-Equation will be (x+1)(x-6) = 30

4- Solving x^2−5 x−6  = 30

5- x^2−5 x -36 = 0

6-Factor left side of equation.

(x+4)(x−9)=0

Set factors equal to 0.

x+4=0 or x−9=0

Answer:

length = 3 width = 10

Step-by-step explanation:

Answer:

Im pretty sure its -8y - 9

Step-by-step explanation:

Go onto M A T H W A Y :)

Hope this helps!

The true statement about the events is,

(b) No, they are not independent because P(student) = 0.81 and P(student/shark) = 0.94

Since, We know that;

Two events A and B are independent if

P(A∣B) = P(A)

Using the data entries in the table, we have:

P(Student) = 90/110

P(Student) = 0.81

Also, we have:

P(Student | Shark) = 75/80

P(Student | Shark) = 0.94

The probability values are not equal

i.e.

P(Student) ≠ P(Student | Shark)

Hence, the events A and B are not independent events because P(student)= 0.81 and P(student/shark)=0.94

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Answer:

x= -3

Step-by-step explanation:

First let's work on the right side and use distributive property

15x+9= 3(2x-6)

15x+9= 6x-18

    -9         -9

15x= 6x-27

-6x  -6x

9x= -27

9x/9= -27/9

x= -3

Hope this helps!

Answer:

B, C, B, A, B

Step-by-step explanation:

Recall soh cah toa

sin - > soh     sin(ANGLE) = opposite/hypotenuse

cos -> cah     cos(ANGLE) = adjacent/hypotenuse

tan -> toa      tan(ANGLE) = opposite/adjacent  

(letters correspond)

7) They ask for sinX, meaning we need to apply soh

sinX = opposite/hypotenuse

sinX = 30/34 = 15/17

B

8)

tan(ANGLE) = opposite/adjacent  

tanZ = 12/35

C

9)

cos(ANGLE) = adjacent/hypotenuse

cosZ = 36/45 = 4/5

B

10 + 11 are attached. Hopefully, you understand. Have a nice day :)

Answer

b. capitalized and bold

Step-by-step explanation: CORRECT ON EDGE 2021

Answer:

12.87  12.1  12.07  12.07

Step-by-step explanation:

The system of equation has one solution

The equations are given as:

y = -x - 4

3y -x = -7

Rewrite the first equation as:

y + x = -4

Add y + x = -4 to the second equation to eliminate x

4y = -11

Divide by 4

y = -11/4

Substitute y = -11/4 in y + x = -4

-11/4 + x = -4

Make x the subject

x = -4 + 11/4

Evaluate

x = -5/4

The above means that the system of equation has one solution

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Option A and B. The system has one solution and the system consists of parallel lines.

The slope of the lines is calculated as follows;

y = -x - 4

slope = - 1

3y - x = -7

3y = x - 7

y = x/3 - 7/3

slope = 1/3

y = -x - 4   ----(1)

3y - x = -7  ----(2)

solve (1) and (2)

3(-x - 4) - x = -7

-3x -12 - x = -7

-4x = 5

x = -5/4

y = -5/4 - 4

y = -5.25

Thus, the system has one solution and the system consists of parallel lines.

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Answer:

The answer is -3/7.

Hope this answer helps.

The solution of the expression will be;

⇒ x = - 3/7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 3.1 = - 3.5x - 4.6

Now,

Solve the equation as;

The expression is,

⇒  - 3.1 = - 3.5x - 4.6

⇒ 3.5x = 3.1 - 4.6

⇒ 3.5x = - 1.5

⇒ x = - 1.5 / 3.5

⇒ x = - 15/35

⇒ x = - 3/7

Thus, The solution of the expression will be;

⇒ x = - 3/7

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Answer:

  38.1 ft²

Step-by-step explanation:

The area of the given triangle is computed using the formula ...

  area = 1/2sin(A)bc

  = 1/2sin(60°)(11 ft)(8 ft) ≈ 38.1 ft²

The 73rd term of  the arithmetic sequence 18,30,42 = 882.

An arithmetic sequence seems to be a series of numbers that are ordered and share a common difference amongst each succeeding term. There are arithmetic sequences 3, 9, 15, 21, and  27, for example, the common difference is 6. An arithmetic progression is another name for an arithmetic sequence.

The sequence is not arithmetic if the difference between subsequent terms is not constant. Subtracting two consecutive elements from the sequence yields a common difference.

Let us now look for the explicit rule for with this arithmetic sequence. We have the following:

aₙ = a₁ + (n - 1) * d

  = 18 + 12 * (n - 1)

  = 12n + 6.

The 73rd term is 12 (73) + 6 = 882.

The 73rd term of  the arithmetic sequence 18,30,42 = 882.

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Hey there! ☺

\(Answer:\boxed{x=10}\)

\(Explanation:\)

2/3 = x/15

(2) * (15) = x * (3) Cross Multiply

30 = 3x

3x = 30 Flip up the equation

3x/3 = 30/3

30/3 = 10 Simplify 30/3

x=10

Hope this helps!

Answer: 5,922 km

Step-by-step explanation: multiply the value in kilometers by the conversion factor '0.62137119223742'.

So, 5922 kilometers = 5922 × 0.62137119223742 = 3679.76020043 miles.

Answer:

the new monthly plan is $106.25

1. Calculate the rectangular prism

4*7 = 28

2. Calculate the triangle

(10-4)*7*0.5

42*0.5 = 21

3. Add them up

21 + 28 = 49

Answer: 49

Answer: passes a horizontal AND vertical line test✅; no repeating x values✅

Step-by-step explanation:

To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.

Lastly, it can be a function if it has repeating y values.

Answer:

  52.47d -26.72 = 235.63

Step-by-step explanation:

You want an equation to find the number of days Jeff worked if he earned $52.47 per day, spent $26.72, and has $235.63 left.

The equation you want to write will express the relationship between Jeff's earnings, expenditures, and the amount remaining. It should be no mystery that when you subtract the amount spent from the amount earned, you get the amount remaining.

The amount earned is the product of earnings per day and the number of days: 52.47d. The amounts spent and remaining are given as 26.72 and 235.63, respectively. This means the equation you can write is ...

  earnings - amount spent = amount remaining

  52.47d -26.72 = 235.63 . . . . . . an equation for finding d

__

Additional comment

Solving this equation will tell you the number of days Jeff worked.

  52.47d = 262.35 . . . . . . . . add 26.72 to both sides

  d = 5 . . . . . . . . . . . . divide both sides by 52.47

Jeff worked 5 days last week.

Almost all of these "write an equation" problems are simply asking you to express the relationships described in the problem statement (or diagram) using mathematical symbols. Sometimes, you also need to make use of your real-world knowledge of how monetary values are related to each other: cost per item and total cost; tax rate and tax amount; revenue, cost, and profit, for example.

Of course, when you're asked to "write and solve an equation", then you solve the equation you just wrote. Here, we solved the equation in the "Additional comment" section.

(Sometimes, the problem is so easily solved mentally, that it takes a little bit of work to figure out what equation to write. The idea is still the same: express the relationship between the given quantities.)

Answer:

Hi there!

To find the volume of the ball, we should follow this formula: 

4/3*pi*r^3

Since the radius is 4, we can just plug the value in:

4/3*3.14*4^3

= 267.946667

Round to the nearest tenth:

= 267.9

Your answer is 267.9. 

Hope this helps!

Answer: c

Step-by-step explanation:

Answer:A.The triangles are similar but not congruent

Step-by-step explanation:

In a congruent traingle:

the both triangles are same in shape and size

There are five theorems to see if the triangles are congruent

and neither particularly applies here

sss: the sides are not equal

as none of the sides are equal, then despite the angles, congruence is not possible

However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.

Step-by-step explanation:

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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Answer: Since <HGI and <HIG are congruent then <HGI must be 65. This is because <HIG is supplementary to <DIG which is 115, and the supplementary angle to 115 is 65. Since <EGB is 50 and <HGI is 65, <BGI is 180-115=65, once again because the angles must add up to 180. on a straight line. Since BGI and DIG are supplementary (115+65=180), they are consecutive interior angles and thus AB and CD must be parallel lines, or else it is not possible.

Step-by-step explanation: The answer itself is the explanation

Answer:

I see no options but they are the same equation. 4(5x+y=4) is 20x+4y=16 which is the second line's equation.

Answer:

7:10

Step-by-step explanation:

…..

because boys number is 7 and girl number is 10 so

Answer: 6b^3 (b+3)

Step-by-step explanation:

6b^4+3b^3+15b^3  

3b^3(2b+1+5)    

3b^3(2b+6)

3b^3.2(b+3)        

6b^3(b+3)

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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For each variable, the possible values are:

a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

c) U = {0, 1, 2, 3, 4, 5, 6}

d) Z = {0, 1, 2}

Item a:

In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:

T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Item b:

In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:

X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

Item c:

The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.

U = {0, 1, 2, 3, 4, 5, 6}

Item d:

Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.

Z = {0, 1, 2}

The question is incomplete. The complete question is:

"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)

a. T = the total number of pumps in use

b. X = the difference between the numbers in use at stations 1 and 2.

c. U = the maximum number of pumps in use at either station

d. Z = the number of stations having exactly two pumps in use"

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The medians are about the same.

Option C is the correct answer.

The median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.

We have,

Movie theater 1.

From the box plot given,

The median is 995.

Movie theater 2.

From the box plot given,

The median is 995.

Thus,

The median in both the box plot is the same.

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)