The difference of a number and 12 is 30

Answer:

b ≈ 13.80 in

Step-by-step explanation:

Since the triangle is right use the tangent ratio to solve for b

tan17.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{43.21}[/tex]

Multiply both sides by 43.21

43.21 × tan17.71° = AC, hence

AC = b ≈ 13.80 ( to 2 dec. places )

Answer:

Amount of sales = rs 10,000.

Step-by-step explanation:

He earns 2000 - 1000 =  rs 1000 from sales.

This  equals 10% ( = 0.10 as a fraction) of his sales so his sales must have been  1000 / 0.10

= rs 10,000.

Answer:

x-13y

Step-by-step explanation:

Combine like terms and when you do x is by itself and you have 13 y

making the answer x-13y

Answer:

It's C. If you divide them you get 1.25 for both of them and its proportional

Answer:

1 hour

Step-by-step explanation:

set town one equation to  3 + 6x and town two equation to 6+3x

set these two equations equal to each other and solve for x

3 + 6x = 6 + 3x

3x = 3

x = 1

1 hour

2x+10 + 4x+1

2x+4x+10+1 ( combine like terms)

2x+4x=6x

10+1=11

Answer: 6x+11

Answer:

6x+11

Step-by-step explanation:

Collect the like terms and add them up.

2x+4x and 10+1

=6x+11

Have a nice day!!!!!!! :-)

KA

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$200\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=200\left(1+\frac{0.04}{1}\right)^{1\cdot 5}\implies A=200(1.04)^5\implies A=243.33058048[/tex]

Answer:

The solution to the system is S= (-2, -4).

Step-by-step explanation:

Given the system

−4x+5y=−12

x−6y=22

The first step is to solve x from the first equation for example, and substitute the expression in the second equation.

1) -4x + 5 y = -12 ⇒ -4x = -12 - 5y ⇒ x = (-12 - 5y)/-4 ⇒ x = 3 + (5/4)y

2) x - 6y = 22 ⇒ (3 + (5/4)y) - 6y = 22 ⇒ 3 + (5/4)y - 6y = 22

⇒ 3 - (19/4)y = 22 ⇒ (-19/4)y = 22- 3 ⇒ y = 19/(-19/4) ⇒ y =-4.

Finally, with the value obtained for "y", you have to return to the original equations and replace it to obtain the "x" value.

-4x + 5y = -12 ⇒ -4x + 5(-4) = -12 ⇒ -4x - 20 = -12 ⇒ -4x = -12 + 20

⇒ -4x = 8 ⇒ x = 8/-4 ⇒ x = -2.

Summarizing, the solution to this system is S = (-2, -4).

Juice bottles are J, replace j with 6 in the equation and solve for w:

3w + 4(6) = 39

3w + 24 =39

Subtract 24 from both sides:

3w = 15

Divide both sides by 3:

w = 15/3

w = 5

You can buy 5 water bottles.

Answer:

5

Step-by-step explanation:

The number of water bottles [tex]= w[/tex]

The number of juice bottles [tex]= j[/tex]

We have, [tex]3w + 4j = 39[/tex]

When we purchase 6 bottles of juice, [tex]j = 6[/tex]

So,

[tex]3w + 4j = 39[/tex]

[tex]3w + 4 \times 6 = 39[/tex]

[tex]3w + 24 = 39[/tex]

[tex]3w = 39 - 24[/tex]

[tex]3w = 15[/tex]

[tex]w = \frac{15}{3}[/tex]

[tex]w = 5[/tex]

Therefore, we can buy 5 bottles of water.

Final answer:

The slope of the line represented by the equation 12x - 8y + 7 = 9 is 3/2. To find this, the equation was rearranged into slope-intercept form, revealing the slope as the coefficient of x.

Explanation:

To find the slope of the line with the given equation 12x - 8y + 7 = 9, you first need to rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

First, subtract 12x from both sides of the equation to isolate terms with y on one side:

-8y = -12x + 2

Next, divide each term by -8 to solve for y:

y = (12/8)x - 2/8

Simplify the fractions:

y = (3/2)x - 1/4

Now the equation is in slope-intercept form, and you can see that the slope m is 3/2 or 1.5. Therefore, the slope of the line is 3/2.

Answer:

none of the above

Step-by-step explanation:

I answered this question already.

Answer:

-4

-----

3

Step-by-step

x1,y1

(4,0),

x2,y2

(-2,8)

y2-y1/x2-x2

8-0/(-2)-4=8/-6= -4

                          -----

                           3

The solution to the quadratic equation -2x² - 16x - 44 = 0 are [tex]x = -4 -4\sqrt{6}i \ and \ x = -4 +4\sqrt{6}i[/tex]

Given the quadratic equation in the question:

-2x² - 16x - 44 = 0

To solve the quadratic equation -2x² - 16x - 44 = 0, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac} }{2a}[/tex]

From the equation:

a = -2, b = 16, c = -44

Plug these values into the above:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-(-16)\±\sqrt{(-16)^2 - 4(-2)(-44)} }{2(-2)} \\\\x = \frac{16\±\sqrt{256 - 352} }{-4} \\\\x = \frac{16\±\sqrt{-96} }{-4} \\\\x = \frac{16\±4\sqrt{6}i }{-4} \\\\x = -4 \±4\sqrt{6}i\\\\x = -4 -4\sqrt{6}i \ or \ x = -4 +4\sqrt{6}i[/tex]

Therefore, the values of x are [tex]x = -4 -4\sqrt{6}i \ and \ x = -4 +4\sqrt{6}i[/tex]

Answer:

6 Minutes

Step-by-step explanation:

3 days is 72 hours

72/6 = 12

12 * 0.5 = 6

Answer:

12

Step-by-step explanation:

8 + w/4

w = 16

8 + 16/4

16/4 = 4

8 + 4

8 + 4 = 12

12

Hey!

------------------------------------------------

Steps To Solve:

~Substitute

= 8 + 16/4

~Solve using PEMDAS

= 8 + 4

= 12

------------------------------------------------

Answer:

[tex]\large\boxed{12}[/tex]

------------------------------------------------

Hope This Helped! Good Luck!

Answer:

(x - 6)(x + 3)

Step-by-step explanation:

Given

x² - 6x + 3x - 18 ( factor the first/second and third/fourth terms )

= x(x - 6) + 3(x - 6) ← factor out (x - 6) from each term

= (x - 6)(x + 3)

Answer:

1a. 460313

1b. 405040

1c. 100000 more

2a. 176960

2b. 12097

2c. 839000

2d. 452210

Step-by-step explanation:

2d. 442210

+ 10000

________

452210

2c. 849000

- 10000

________

839000

2b. 13097

- 1000

_______

12097

2a. 100000

+ 76960

________

176960

1c.

[tex] - 347077 + 447077 = 100000[/tex]

1b.

[tex]300000 + 90000 + 5000 + 40 = 395040 \\ \\ 10000 + 395040 = 405040[/tex]

1a.

[tex] -100000 + 560313 = 460313[/tex]

I am joyous to assist you anytime.

Answer:

3

Step-by-step explanation:

If you look closely every X is changing by 3 so 3·y=x

Answer:

The value in the table that makes the quantities proportional to one another is y = 3

Step-by-step explanation:

Two quantities x and y  are proportional one to another if they can be expressed  as

y = kx

where k is the constant of proportionality. We can find k using an specific point. Take the first one

y = kx

k=  y/x  with (3.1 )

k= 1/3

So

y =1/3x for this case

If the two quantities are proportional, this rule must be true for any point (x,y) . Lets prove it

Point 2 (6,2)

2 =1/3*(6)

2= 2 True

Point 4 (12,4)

4 =1/3*(12)

4= 4 True

So to accomplish the rule in point 3, and finally in all table we must have that

y =1/3x is true  for Point 3 (9,y) Then

y = 1/3 (9) = 9/3 = 3

y= 3

Y must be 3

Answer:

(10)^2/(-2)^2 = 100/4= 25

the answer is d

Answer:  4

Step-by-step explanation:

Inversely proportional means xy = k, where k is the constant of proportionality

First, find k when x = 2 and y = 400 ----> 2(400) = k   --> 800 = k

Then, find y when x = 200 (knowing that k = 800)

                                    200y = 800

                                           y = 4

Answer:

x=-4 y=2

Step-by-step explanation:

y=-14-9x÷9

6x-5 (14-9x÷9)=-34

6x-(70+45x÷9)=-34

Take LCM

and then do it

The greatest common factor of 19 and 18 is 1 since 19 is a prime number and has no other factors that divide 18.

The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. To find the GCF of 19 and 18, we need to determine the factors of both numbers. Since 19 is a prime number, its only factors are 1 and itself (19).

The factors of 18 are 1, 2, 3, 6, 9, and 18. The common factors of 19 and 18 are therefore just 1, as 19 has no other factors. Hence, the greatest common factor of 19 and 18 is 1.

Answer:

-4 = y

Step-by-step explanation:

3(6+5y)=2(-5+4y)

18 + 15y = -10 + 8y

+10             +10

28 + 15y = 8y

      - 15y     -15y

 28 = - 7y

28/-7 = -4

-7y/-7 = y

Answer:

y = -4

Step-by-step explanation:

distribute both 3 and 2 through the parenthesis, move the variable to the left side and change its sign, move constant to the right side and change its sign, collect like terms, calculate the difference, divide both sides of the equation by 7, and your answer would be -4

0.000006 is 300 times greater than 0.00000002.

To find out how many times greater 0.000006 is than 0.00000002,

We need to divide 0.000006 by 0.00000002.

So, let's perform the calculation:

0.000006 ÷ 0.00000002 = 300

This means that 0.000006 is 300 times greater than 0.00000002.

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