Make b the subject of the formula
[tex]a = \sqrt{b + 6} [/tex]
​

Answer:

In this problem and with any rational number, the zero product property will be applied. If ab = 0, then either a = 0 or b = 0, or both. A product of factors is zero if and only if one or more of the factors is zero.

And excuse me, but where's the other 75 points?

Answer:

The minimal number for the objective function P =20x+16y is: 780

The value of x then is: 15

and the value of y then is : 30

Step-by-step explanation:

We are given a system of inequalities as:

y is less than or equal to 2x

i.e.          y ≤ 2x--------(1)

x + y is greater than or equal to 45

i.e.      x+y ≥ 45  ------------(2)    

and    x is less than or equal to 30.    

i.e.               x ≤ 30 -----------(3)    

On plotting these inequalities we get the boundary points as:

        (15,30) , (30,60) and (30,15)    

( Since, the optimal solution always exist at the boundary point )

The optimal function is given by:

 Minimize  P = 20x+16y

Hence, at (15,30) we get:

P= 780

at (30,60) we get:

 P= 1560

at (30,15) we get:

P= 840

This  means that the minimal value of the function is 780

and the value exist at (15,30)

Answer:

y = - 3

Step-by-step explanation:

To find the value of y, substitute x = 3 into the equation, that is

y = - 2(3) + 3 = - 6 + 3 = - 3

Answer:

it would be 0.2

Step-by-step explanation:

When you multiply 0.4*0.5 it would equal 0.2 since 4*5=20 then 4.0*0.5= 0.2 since 0.2 in fraction form is 2/10 or 20/100.

Answer:

x = -4 or 2

Step-by-step explanation:

-4x² + 10x − 40 = -9x²

First, move the x terms to one side and the constant to the other.

5x² + 10x = 40

Divide by the leading coefficient:

x² + 2x = 8

Take half of the b coefficient, square it, then add to both sides.

(2/2)² = 1

x² + 2x + 1 = 8 + 1

x² + 2x + 1 = 9

Factor the perfect square:

(x + 1)² = 9

Solve for x:

x + 1 = ±3

x = -1 ± 3

x = -4 or 2

Answer:x=2,-4

Step-by-step explanation:

To determine the number of days you have read, an equation is set up as 150 - 3x = 60, where x represents the number of days. After solving, it reveals that you have read for 30 days.

To find the number of days, x, that you have read, given that there are 60 pages left and you read 3 pages per day in a 150-page book, we can set up the following equation:

150 - 3x = 60

This equation represents the total number of pages in the book (150) minus 3 pages for each day that you read (3x) equal to the number of pages left (60).

Now, solve for x to determine the number of days you have been reading:

150 - 60 = 3x

90 = 3x

x = 30 days

Therefore, you have been reading for 30 days.

Answer:

4 times more

Step-by-step explanation:

80/20=4

Answer:

2

Step-by-step explanation:

(1/2)/4=(1/2)(4/1)=4/2=2

Answer:

1/8

Step-by-step explanation:

1/2 ÷ 4

= 1/2 x 1/4

= 1x1/2x4

= 1/8

The students in the school ride the bus is 30 percent.

To find the percent of students who ride the bus to school in a school with 400 students when 120 students ride the bus, you would set up an equivalent fraction and solve for the percentage. The fraction of students who ride the bus is 120 out of 400 (120/400), and you want to find what percentage this is equivalent to, so you set up the fraction over 100 (x/100). To solve for x, you cross-multiply and divide:

(120/400) = (x/100)

400x = 120 × 100

x = (120 × 100) / 400

x = 12,000 / 400

x = 30

Therefore, 30 percent of the students at the school take the bus.

In a quadrilateral inscribed in a circle, opposite angles are supplementary. Hence, opposite angles J and M in quadrilateral JUMP are supplementary, totaling 180 degrees.

In the given diagram, quadrilateral JUMP is inscribed in a circle. According to the property of inscribed angles, when a quadrilateral is inscribed in a circle, opposite angles are supplementary, meaning they add up to 180 degrees.

Given that angles J and M are opposite angles in quadrilateral JUMP and must be right angles, it implies that they are supplementary. This is because right angles measure 90 degrees each, and the sum of two right angles equals 180 degrees, making them supplementary.

Therefore, we conclude that angles J and M are supplementary, with a combined measure of 180 degrees.

To summarize, in the inscribed quadrilateral JUMP, opposite angles J and M are supplementary, totaling 180 degrees, due to the property of angles in a quadrilateral inscribed in a circle.

The question probable may be:

In the diagram below, quadrilateral JUMP is inscribed in a circle. Opposite angles J and M must be right 2. complementary 3. congruent 4 supplementary

The true statements are:

The ordered pair (−4 , 0) is a solution to the first equation because it makes the first equation true ⇒ 1st answer

The ordered pair (−4 , 0) is a solution to the second equation because it makes the second equation true ⇒ 2nd answer

The ordered pair (−4, 0) is a solution to the system because it makes both equations true ⇒ 4th answer

Step-by-step explanation:

To prove that point (a , b) is a solution of an equation

∵ The system of equations is:

2x + y = -8 ⇒ (1)

x - y = -4 ⇒ (2)

The ordered pair is (-4 , 0)

Substitute x by -4 and y by 0 in each equation

∵ x = -4 and y = 0

∵ The left hand side in equation (1) is 2x + y

∵ 2(-4) + 0 = -8 + 0 = -8

∴ The left hand side = -8

∵ The right hand side = -8

∴ The left hand side = the right hand side

∴ (-4 , 0) is a solution of equation (1)

The ordered pair (−4 , 0) is a solution to the first equation because it makes the first equation true

∵ The left hand side in equation (2) is x - y

∵ (-4) - 0 = -4 - 0 = -4

∴ The left hand side = -4

∵ The right hand side = -4

∴ The left hand side = the right hand side

∴ (-4 , 0) is a solution of equation (2)

The ordered pair (−4 , 0) is a solution to the second equation because it makes the second equation true

∵ The ordered pair (-4 , 0) makes the two equations true

∴ The ordered pair (-4 , 0) is the solution of the system of equations

The ordered pair (−4, 0) is a solution to the system because it makes both equations true

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(a) The explicit rule to model the sequence formed by the number of seats in each row is [tex]a_{n}=15+3n[/tex]

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

[tex]a_{n}=a+(n-1)d[/tex] , where

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

   sequence because there is a common difference between

   each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

   additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ [tex]a_{n}=18+(n-1)3[/tex]

- Simplify the right hand side

∴ [tex]a_{n}=18+3n-3[/tex]

- Add like terms

∴ [tex]a_{n}=15+3n[/tex]

(a) The explicit rule to model the sequence formed by the number of seats in each row is [tex]a_{n}=15+3n[/tex]

∵ There are 120 seat in a row

- Substitute [tex]a_{n}[/tex] by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

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Answer:

y=2x-1

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = 8[tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = 8 and r = - 24 ÷ 8 = - 3, thus

[tex]a_{n}[/tex] = 8[tex](-3)^{n-1}[/tex]

Answer:

87

(3 times 9)+(10 times 6)

Step-by-step explanation:

PEMDAS

36/6=6

Answer:

The coordinates of point B is [tex](\frac{21}{4} , 2 )[/tex]

Step-by-step explanation:

Given:

Let,

[tex]B \equiv (x,y)\\A \equiv (x1,y1) \equiv (7,4)\\C \equiv (x2,y2) \equiv (0,-4)[/tex]

[tex]\frac{AB}{AC} =\frac{1}{4}[/tex]

First we need to find [tex]\frac{AB}{BC}[/tex]

[tex]\therefore \frac{AB}{AC} = \frac{1}{4}\\\therefore \frac{AC}{AB} = \frac{4}{1}\ Invertendo\\\therefore \frac{AC-AB}{AB} = \frac{4-1}{1}\ Dividendo\\ \therefore \frac{BC}{AB} = \frac{3}{1}\\ \therefore \frac{AB}{BC} = \frac{1}{3}\ Invertendo\\\therefore \frac{AB}{BC} = \frac{1}{3} = \frac{m}{n}\ say[/tex]

Now point B divide segment AC internally in the ratio m : n i.e 1/3.

So, by internal division formula, the X coordinate and the Y coordinate of point B are as follow

[tex]x =\frac{mx2+nx1}{m+n}\ and\ y = \frac{my2+ny1}{m+n}\\x =\frac{1\times 0 + 3\times 7}{1+3}\ and\ y =\frac{1\times -4 + 3\times 4}{1+3}\\x =\frac{21}{4}\ and\ y =\frac{8}{4}\\x =\frac{21}{4}\ and\ y = 2[/tex]

Therefore,The coordinates of point B is [tex](\frac{21}{4} , 2 )[/tex]

Answer:

5,2 is correct answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes, you like AirPods due to zero wires, comfortable fit and long lasting 24 hours battery life.

Step-by-step explanation:

The current technology employed in Apple devices has attracted most users.For example in the AirPods technology, users can enjoy features such as instant connection to  other Apple devices, easy switching from Mac to Os devices, comfortable fit and long battery hours. Even with the current price of AirPods at $159 the advantages outweigh the cost.

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Keyword : AirPods

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Answer: Yeah you like airpods

Step-by-step explanation:

25t means "25 times t" where t is some unknown number. It is a placeholder for a number.

To find what the number is, we undo what is happening to t. So we divide both sides by 25 to undo the operation "multiply by 25"

----------

25*t = 1125

25*t/25 = 1125/25 divide both sides by 25

t = 45

---------

As a check, we can plug t = 45 into the equation and we should get the same value on both sides

25*t = 1125

25*45 = 1125 replace every t with 45

1125 = 1125 the answer is confirmed

Answer:

45

The drawings will help

Answer:

Well isosceles triangle has two angle that are the same and one different

if one angle is 90 degrees that means the other two angles have to be 45 cause all three angles of a triangle equal 180.

Answer:

[tex]\frac{17}{26}[/tex]

Step-by-step explanation:

In probability

"AND" means to multiply, and

"OR" means to add

Here, we want probability getting a red card OR a 10 OR a queen. So we find each individual probabilities and ADD.

In a standard deck, there is 52 cards.

P(Red):

half the cards are red and half are black, so there are 52/2 = 26 red cards

Hence

P(Red) = 26/52 = 1/2

P(10):

There are 4 suits with each one having 1 "10" card, so there are FOUR 10s in a deck. So,

P(10) = 4/52 = 1/13

P(Queen):

There are 4 suits with each one having 1 Queen. So in 4 suits, there are a total of 4 Queens. So,

P(Queen) = 4/52 = 1/13

P(Red, or, 10, or, Queen) = 1/2 + 1/13 + 1/13 = [tex]\frac{17}{26}[/tex]

Answer:

$12.09

Step-by-step explanation:

formula Y = KX

where; y = $24.18

            x = 2 books

            k = constant proportionality

Step 1. Do the equation based on the data given

$24.18 = k 2

Step 2. Divide 2 on both sides to eliminate integer on the right side

$24.18 / 2 = k2/2

Answer ;

k = $12.09 dollar in relate to number of books

there are 784 different committees possible that consist of 2 women and 2 men.

To form a committee of 4 people consisting of 2 women and 2 men, we need to choose 2 women from the 8 available women and 2 men from the 8 available men.

We can calculate the number of ways to choose 2 women from 8 using combinations, denoted as ( C(n, k) \), which is calculated as:

[tex]\[ C(n, k) = \frac{n!}{k!(n-k)!} \][/tex]

Where:

- ( n ) is the total number of items (in this case, the number of women)

- ( k ) is the number of items to choose (in this case, 2)

- ( n! ) denotes the factorial of ( n ), which is the product of all positive integers up to ( n )

Similarly, we can calculate the number of ways to choose 2 men from 8.

Once we have chosen 2 women and 2 men, we multiply these numbers together to find the total number of possible committees.

Let's calculate it step by step:

1. Choose 2 women from 8:

[tex]\[ C(8, 2) = \frac{8!}{2!(8-2)!} = \frac{8!}{2!6!} = \frac{8 \times 7}{2 \times 1} = 28 \][/tex]

2. Choose 2 men from 8:

[tex]\[ C(8, 2) = \frac{8!}{2!(8-2)!} = \frac{8!}{2!6!} = \frac{8 \times 7}{2 \times 1} = 28 \][/tex]

3. Multiply the number of ways to choose women and men:

[tex]\[ \text{Total number of committees} = 28 \times 28 = 784 \][/tex]

So, there are 784 different committees possible that consist of 2 women and 2 men.

Answer:

See Below (it is correct)

Step-by-step explanation:

First point given ----  A(-3,0)

2nd point given ----- B(4,0)

The slope is the "change in quantity y" divided by "change in quantity x"

The change would be from 2nd point to 1st point. So,

Change in quantity y is 0 - 0 = 0

Change in quantity x is 4 - (-3) = 4 + 3 = 7

So, slope would be:

Slope = 0/7 = 0

The slope is 0 (which means it is a horizontal line)

Answer:

larger no=19, smaller no=-15

Step-by-step explanation:

let X be the larger no &Y be the smaller no

so [tex]X+Y[/tex]=4.....(1)

[tex]4X+3Y[/tex]=31............(2)

from [tex](2)- (1)*3[/tex]

[tex]4X+3Y-3X-3Y[/tex]=[tex]31-12[/tex]

X=19

Y=-15

To find the two numbers, we can set up a system of equations and use the method of substitution to solve it.

Let's represent the two numbers as x and y. We are given that x + y = 4 and 4x + 3y = 31.

To solve this system of equations, we can use the method of substitution. From the first equation, we can express x = 4 - y. Substituting this into the second equation, we have 4(4 - y) + 3y = 31.

Simplifying this equation gives us 16 - 4y + 3y = 31. Combining like terms, we get -y + 16 = 31. Subtracting 16 from both sides, we have -y = 15. Finally, multiplying both sides by -1, we find that y = -15.

Substituting this value back into x + y = 4, we get x + (-15) = 4, which gives us x = 19.

Therefore, the larger number is 19 and the smaller number is -15.

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you need to put the decimal somewhere but if it comes at the beginning then 203463is your answer.

Answer:

here is an actual answer

203463

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

5x+4=19

5x=19-4

5x=15

x=15/5

x=3

Answer:

x = 3

Step-by-step explanation:

Given

5x + 4 = 19 ( subtract 4 from both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Answer:

920,000

Step-by-step explanation:

943,361-24,200=919,161=920,000

Answer:

D, My original answer was A (-6,2) B (-6,5) but that's particular order is not an option but if you flip it you get answer D