4. Solve 6r + 7 = 2r - 9.

r= 4
r=-4
r = 0.5
r = -0.5

Answer:

Sam = 6 years

Linda = 22 years

Step-by-step explanation:

this is best solved by using an algebraic equation

let Sam's age be x

let Linda's age be 4x

now that we defines our variables let's make an algebraic equation

the sum of their ages is 28 so

4x + x = 28

combine like terms

5x = 28

find for x

x = 28÷ 5 = 5.6 (don't approximate yet let's take the raw age)

Sam is 5.6 years

Linda is 4 years older so we multiply Sam's age by 4

4 × 5.6 = 22.4

Linda is 22.4 years

now let's round our answers to the nearest whole

5.6 ~ 6 years

22.4 ~ 22 years

let's double check and add our answers now

22 + 6 = 28

the answer is correct

Step-by-step explanation:

30×5=150 and 800×28%=224

total earned $374.

Answer:

1. yes

2.yes

3. no

4. no

5. no

Answer:

12-2(n-1).

Step-by-step explanation:

It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.

Step-by-step explanation:

i don't understand your question

Answer:

the answer is 15 because you have to do the problem in the parentheses first then multiply by 5

Answer:

The slope of the model represents the amount of snow(in inches) added to the ground per hour

the y-intercept represents the beginning amount of snow already on the ground

Step-by-step explanation:

Answer:

y = 40

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 12 when x = 3 , then

12 = 3k ( divide both sides by 3 )

4 = k

y = 4x ← equation of variation

When x = 10 , then

y = 4 × 10 = 40

Answer:

Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!

Step-by-step explanation:

Answer:

Reflection

Step-by-step explanation: It is reflection because it is the same thing just reflected

Answer:

Vertical reflection of MNOP quadrilateral

Step-by-step explanation:

Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.

here the MNOP quadrilateral is reflected over x axis, it is called vertical reflection

Answer:

{x | x R, x > 3}

Step-by-step explanation:

x - 5 > -2

Add 5 to each side

x - 5+5 > -2+5

x> 3

Answer:

no

Step-by-step explanation:

to be perpendicular the second equation would have to be -x (the opposite of x)

these lines are parallel

Answer:

No, not perpendicular

Step-by-step explanation:

Compare the slopes of the two lines.  In each case the slope is 1.  Therefore the slopes are not negative reciprocals of one another, and the lines are NOT perpendicular.

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).

Let y represent the total money in thousand dollar saved for x years.

Taking the points (0, -12) and  (20, 20).

The equation is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

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Answer:

john cena

Step-by-step explanation:

i have no idea lol

Answer:

116

Step-by-step explanation:

First, find x. The three angles of any triangle will always equal 180, so set up an equation like this:

(14x+4)+(5x-1)+(2x+9)=180

x=8

Then to find angle A put 8 in place of x. 14(8)+4=116

Answer:

[tex]116 \degree[/tex]

Step-by-step explanation:

Interior angles of a triangle is added up to 180°

Therefore,

[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree\\ [/tex]

Now you can solve this equation and find the value of x

[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree \\ 14x + 5x + 2x + 4 - 1 + 9 = 180 \\ 21x + 12 = 180 \\ 21x = 180 - 12 \\ 21x = 168 \\ \frac{21x}{21} = \frac{168}{21} \\ x = 8[/tex]

Now you can Find the value of <A

[tex]14x + 4 \\ 14 \times 8 + 4 \\ 112 + 4 \\ = 116 \degree[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

okkkkkkkķkkkkkkkkkkkkk

Answer:

Step 1: Remove parentheses by multiplying factors.

= (x * x) + (1 * x) + (2 * x) + (2 * 1)

Step 2: Combine like terms by adding coefficients.

(x * x) = x2

(1 * x) = 1x

(2* x) = 2x

Step 3: Combine the constants.

(2 * 1) = 2

Step 4: Therefore, Simplifying Algebraic Expression is solved as

= x2 + 3x + 2.

Step-by-step explanation:

A cube is 3- dimensional shape with 6 equal sides, 6 faces, and 6 vertices in geometry. ... In 3 – dimension, the cube's sides are; the length, width, and height.

Answer:

Perimeter of Semicircle

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.21-Oct-202

Answer:

Perimeter is 41.1327 centimeters

Step-by-step explanation:

The perimeter of a semi-circle is the circumference of the full circle plus the length of the diameter.

To find the circumference of a circle, just multiply the diameter by pi:

[tex]c=\pi\times d\\c=\pi\times 16\\c=50.2655[/tex]

Now, add the diameter to half of it:

[tex]p=\frac{c}{2}+d\\p=\frac{50.2655}{2}+16\\p=25.1327+16\\p=41.1327[/tex]

Answer:

Slope = -¾

Step-by-step explanation:

Given the points, (-20,-4) and (-12, -10), use the following formula to solve for the slope:

m = (y₂ - y₁)/(x₂ - x₁)

Let (x₁, y₁) = (-20,-4)

     (x₂, y₂) =  (-12, -10)

Substitute these values into the slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

[tex]m = \frac{-10 - (-4)}{-12 - (-20)}[/tex]

[tex]m = \frac{-10 + 4}{-12 + 20}[/tex]

[tex]m = \frac{-6}{8}[/tex]

Simplify the fraction into its lowest terms by dividing the numerator and the denominator by 2:

[tex]m = \frac{-6}{8}[/tex] ÷  [tex]\frac{2}{2}[/tex]

m = -¾

Therefore, the slope of the line is -¾

Answer:

Andrea has 70

Step-by-step explanation:

7 is the tens place that would make it 70

Answer:

47

Step-by-step explanation:

Given:

473 scented stickers

To Find:

How many tens of stickers does Andrea have?

Solution:

To find the answer divided 473 by 10 = 47.3

That mean Andrea have 47 tens of stickers.

Therefore the answer is 47

Answer:

x= 4, y= 1

Step-by-step explanation:

5x +3y= 23 -----(1)

2x +4y= 12

Divide both sides by 2:

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

(2) ×5:

5x +10y= 30 -----(3)

(3) -(1):

5x +10y -(5x +3y)= 30 -23

Expand, simplify:

5x +10y -5x -3y= 7

Divide both sides by 7:

7y= 7

y= 7 ÷7

y= 1

Substitute y= 1 into (2):

x +2(1)= 6

x +2= 6

x= 6 -2

x= 4

Answer:

Step-by-step explanation:

The unknown number expressed as a mixed fraction is 11 19/20

Let the unknown number be "x"

The sum of the number and 1.75 is expressed as x + 1.75

Half the sum of a number and 1.75 is 1/2(x+1.75)

Equating the result to -5.1 wil give:

1/2(x+1.75) = -5.1

Solve the resulting equation

x + 1.75 = 2(-5.1)

x + 1.75  = -10.2

x = -10.2 - 1.75

x = 11.95

x = 1195/100

x = 11 95/100

Hence the unknown number expressed as a mixed fraction is 11 19/20

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Answer

-11 19/20

I took the test and got it right!

Answer:

Vertical angles

Answer:

-2 ≤ x ≤ 2

Step-by-step explanation:

x values will be somewhere between -2 and 2 and include -2 and 2

Answer:

y= 2x -9

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]\boxed{slope = \frac{ y_{1} - y_2}{x_1 - x_{2}} }[/tex]

Slope

[tex] = \frac{ - 1 - ( - 5)}{4 - 2} [/tex]

[tex] = \frac{ - 1 + 5}{2} [/tex]

[tex] = \frac{4}{2} [/tex]

= 2

Substitute m= 2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= -1,

-1= 2(4) +c

-1= 8 +c

c= -1 -8

c= -9

Thus, the equation of the line is y= 2x -9.

Answer:

Yes

Step-by-step explanation:

He has 24 fluid ounces. You know this because in 1 pint, there are 16 fluid ounces. In half of one pint there are 8 ounces. 16 + 8 = 24 oz

I hope this could help!

Answer:

yes and he will have 4.8228 fluid ounces left over

Step-by-step explanation:

1.5 pints + 28.8228 US fluid ounces

Answer:

it will take 10 hours

Step-by-step explanation:

6+4=10

Answer:

Step-by-step explanation:

C

Answer:

c) multiplication

Step-by-step explanation: