What is the LCM of 7, 14, 28, 42

Answer:

16√6 is correct

Step-by-step explanation:

Algebra

Make an equation to make the equation equal 12.

[tex]2x - 13 + x + 4 = 12[/tex]

Combine Like-Terms.

Make an equation.

[tex]3x - 9 = 12[/tex]

Add nine to both sides.

[tex]3x = 21[/tex]

Divide both sides by three.

[tex]x = 7[/tex]

Step-by-step explanation:

hope it helps you........

Answer:

(- 6, 8 )

Step-by-step explanation:

Given the 2 equations

y = - [tex]\frac{1}{3}[/tex] x + 6 → (1)

x = - 6 → (2)

Substitute x = - 6 into (1) and evaluate for y

y = - [tex]\frac{1}{3}[/tex] × - 6 + 6 = 2 + 6 = 8

solution is (- 6, 8 )

Answer:

(a) $ 1191

(b) $ 1966.8

Step-by-step explanation:

Principal, P= $ 10000

Rate of interest, r = 6 % per year

time, t = 3 years = 36 months

(a) Interest per  year

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2[/tex]

Interest is given by = $11910.2 - $10000 = $ 1910.6

(b) interest per month

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8[/tex]

Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8

Answer:

67.3 degrees

Step-by-step explanation:

Use tan ^-1

tan^-1 (55/23) = 67.3

Answer:

Step-by-step explanation:

Set up a right triangle to reflect the tangent ratio. Tangent is equal to the side opposite the reference angle over the side adjacent to the reference angle. If tangent is 4/3, then the side opposite the reference angle is 4 in length and the side adjacent is 3 in length. The reference angle, just for clarification, is the base angle that is not the right angle. So we have a right triangle with a height of 4 and a base of 3. We need the sin ratio from that. The sin ratio by definition is the side opposite the reference angle over the hypotenuse. But we don't have the hypotenuse. We have to solve for it using Pythagorean's Theorem.

[tex]h^2=4^2+3^2[/tex] and

[tex]h^2=16+9[/tex] and

[tex]h^2=25[/tex] so

h = 5. Now we find the sin ratio to be 4/5 (the side opposite the reference angle over the hypotenuse).

Answer:

y=1/3x+3

Step-by-step explanation:

the general equation for a straight line is y=mx+c.where c is the y cut therefore the y cut on our graph is at (0,3)therefore c is 3

we then find the gradient which is "m" on our equation using the formula m=y2-y1/x2-x1

then we substitute the m and c then tha is the equation.

Answer:

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

Plug in a and b

In this case a=4, b=3

(ab)^2

( (4)(3) )^2

(12)^2

12x12

144

If this helps please mark as brainliest

Answer:

144

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

(ab)²

a = 4

b = 3

Step 2: Evaluate

Step-by-step explanation:

3×‐9×-5y-2y =0-7

-6x-7y =-7

Answer:

[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]

Step-by-step explanation:

                         3x - 5y = 4 ----------- ( 1 )

                         9x - 2y = 7 -----------( 2 )

                 ______________________

( 1 ) x 9  =>       27x - 45y = 36   ----------------- ( 3 )

( 2) x 3 =>        27x - 6y = 21     -------------------( 4 )

                  _____________________

( 3 )  =>          27x - 45y = 36

- ( 4 ) =>         -27x + 6y = - 21

                   ____________________

( 3 ) - ( 4 ) =>     0x - 39y = 15

                            -39y = 15

                                [tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]

Substitute y in ( 1 ) :

                     [tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]                        

Answer:

x=3

Step-by-step explanation:

8x-2(x - 5) = x + 25

Distribute

8x -2x+10 = x+25

Combine like terms

6x +10 = x+25

Subtract x from each side

6x-x +10 = x+25-x

5x +10 = 25

Subtract 10 from each side

5x-10+10 =25-10

5x= 15

Divide each side by 5

5x/5 =15/5

x=3

Answer:

A. x = 3

Step-by-step explanation:

8x- 2(x - 5) = x + 25

Using distributive property

8 x - 2 x - 10 = x + 25

combine like terms

6 x - 10 = x + 25

subtract both side from x

6 x - x - 10 = x - x + 25

5 x - 10 = 25

Add 10 to both side

5 x - 10 + 10 = 25 - 10

5 x = 15

Divide both side by 5

5 x / 5 = 15 / 5

x = 3

Answer:

615.75

Step-by-step explanation:

A=4 times pi times r squared

4 times pi times 49 = 615.752160104

Round it to 615.75

Answer:

y = 2x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (3, 6) into the partial equation

6 = 6 + c ⇒ c = 6 - 6 = 0

y = 2x ← equation of line

The equation of line that passes through the point (3,6) with slope 2 is;

⇒ y = 2x

Given that;

The point is (3, 6)

The slope of line = 2

We have to find the equation of a line that passes through the point (3,6) with slope 2.

What is equation of line?

The equation of line that passes through the point (x₁, y₁) with slope m is;

y - y₁ = m (x - x₁)

The point is (3, 6)

The slope of line = 2

The equation of line that passes through the point (x₁, y₁) = (3,6)

with slope(m) = 2 is;

y - y₁ = m (x - x₁)

y - 6 = 2 (x - 3)

y - 6 = 2x - 6

Add 6 on both sides;

y = 2x

Hence, The equation of line that passes through the point (3,6) with slope(m) 2 is;

⇒ y = 2x

Learn more about the equation of line visit:

https://brainly.com/question/21967006

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Answer:

alternate interior, 37 degrees

step-by-step explanation:

these are alternate interior angles and alternate interior angles are always equal :)

Answer:

no idea

Step-by-step explanation:

Answer: The left is 2 and the right 7

Step-by-step explanation: 1 + 14 = 15  

2 + 7 = 9  Hope this helped!!

Answer:

linear

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Explanation:

The table says that when x = 1, the output is y = -2.

So the point (1, -2) is on the parabola.

The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.

Find the slope of the line through those two points. The slope here is the same as the average rate of change.

m = (y2 - y1)/(x2 - x1)

m = (-10 - (-2))/(3 - 1)

m = (-10 + 2)/(3 - 1)

m = -8/2

m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.

Answer:

7/3

Step-by-step explanation:

5/3 + 3/4 *8/9

First multiply

I like to rewrite to simplify

5/3 + (3/9 *8/4)

5/3 + (1/3 * 2/1)

5/3 + 2/3

Add ( they have like denominator)

7/3

Answer:

57.11 m

Step-by-step explanation:

The formula for the volume of a cylinder of radius r and length h is

V = πr²h.  We want to solve this formula for d, the diameter of the cylinder.  

Start by solving the equation V = πr²h for r²:  divide both sides by πh.

                    V

Then r² = -------------

                  πh

                                                                                  51207 m³

Substituting 20  for h and 3.14 for π, we get r² = ------------------   or:

                                                                                   3.14(20 m)

r² = 815.40 m²

Find the radius by taking the square root of both sides of the previous result:

r = 28.56 m

The diameter is twice the radius, and therefore the diameter here

is d = 2(28.56) m = 57.11 m

Answer:

I think it's A because 98÷14=7, 63÷9=7, 14÷2=7

Step-by-step explanation:

And all of those can be divided they even get the same numbers when you divide them which is 7.

Answer:

Mean=85.5

Median=82

Mode=82

Range=25

Please would you mind marking me as the brainliest:)

Answer:

Mean: 85

Median: 82

Mode: 82

Range: 25

Step-by-step explanation:

The mean is the average of all of the numbers. You add all of the numbers together and then divide by the total amount of number you have. In this case you have 8 scores. So you add all the scores together, and then divide by 8:

82 + 78 + 82 + 80 + 100 + 96 + 75 + 91 = 684

684/8 = 85.5

So 85 is the mean.

The median is the number that is in the middle of all of the numbers listed. To do this, first list the numbers in order:

75, 78, 80, 82, 82, 91, 96, 100

The two numbers in the middle are both 82. So, 82 is the median.

The mode is the number that appears the most. In this problem, you can see that the number 82 appears twice. So 82 is the mode.

The range is the highest number minus the smallest number. Here, the highest number is 100. The smallest number is 75. So,

100 - 75 = 25

25 is the range.

Answer: (x-5)(x^2+16)

Answer:

8 hours

Step-by-step explanation:

Equation: y = 7x + 11

67 = 7x + 11

Subtract 11 from both sides;

56 = 7x

Divide both sides by 7;

x = 8

Answer:

Use Simple Interest Formula=PrT/100

SI=$1800×5×6/12÷100

=4500/100

=$45

Step-by-step explanation:

$45 is the interest that's gonna be owed after 6months so therefore the total $ she owed after 6 months would be: $45 + $1,800=$1,845.

Answer:

Step-by-step explanation:

85=5x+10

85-10=5x

75/5=x

15=x

Answer:

I think the answer for this is A.

Step-by-step explanation:

since 25$ is added to get the everyday cost.

Answer:

620.63

Step-by-step explanation:

use the formula given

r= interest rate

n= numer of times it's compounding in a year

t= time

p= principle amount

[tex]400(1+\frac{.04}{12})^{12*11}=620.628[/tex]

Ruby lost $45 so she can enter it into her account as this: C. -$45

Answer:

6

Step-by-step explanation:

10x6=60-2=58

Answer:

x = 6

Step-by-step explanation:

[tex]58 = 10x - 2 \\58 + 2 = 10x \\60 = 10x \\6 = x[/tex]