A rectangle has a width of (3x² – 5x – 2) units and a length of (2x² + 12x - 4) units. Create a simplified expression of the form ax+ bx + c for the perimeter of the rectangle.

Perimeter = ........... units ​

Answer:

60 gummy bears in total

Step-by-step explanation:

20% of the gummy bears are blue.

12 gummy bears are blue

That means 6 gummy bears is 10% of the total.

6*10=60

100%=60 gummy bears.

Answer:

x = 4 ; x = 8

Step-by-step explanation:

[tex]x^2 + 32 = 12x[/tex]

bring all the terms to one side and set equal to 0

[tex]x^2 - 12x + 32 = 0[/tex]

factor the polynomial

[tex](x-8)(x-4) = 0[/tex]

set each factor equal to zero and solve

[tex](x-8) = 0 \\x - 8 = 0 \\x = 8[/tex]

[tex](x-4)=0\\x-4 = 0\\x = 4[/tex]

Answer:

The mean is 41

Step-by-step explanation:

Here , we are interested in finding the mean.

Firstly, let the standard deviation be x and the mean be y.

We are told that 51 is 2 standard deviations above the mean. What this mean is that if we subtract 2 standard deviations from 51, we will arrive at the mean.

Mathematically;

51 - 2(x) = y

y + 2x = 51 •••••••••(i)

We are also told that 36 is one standard deviation below the mean. What this mean is that if we subtract one standard deviation from the mean, we will have 36

Mathematically, that would be;

y-36 = x •••••••(ii)

Substitute ii into i directly;

We have

y + 2(y-36) = 51

y + 2y -72 = 51

3y -72 = 51

3y = 51 + 72

3y = 123

y = 123/3

y = 41

Answer:

1. -6a

2. -8a

3. -5a

4. -a

5. -3a

6. -6a -8c -4

Step-by-step explanation:

All you need to do is combine like terms

Answer:

it is a scalar quantity because it involves magnitude only.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

AD = 10

Step-by-step explanation:

It's given that ABCE is a rectangle.

Therefore, measure of opposite sides of the rectangle will be equal.

AB = EC

AB = ED + DC

12 = ED + 4

ED = 8

Measure of side AE = 6

Since, measure of interior angles of a rectangle = 90°

Therefore, ΔEAD will be a right triangle.

By Pythagoras theorem,

AD² = AE² + ED²

      = 6² + 8²

AD = [tex]\sqrt{36+64}[/tex]

      = [tex]\sqrt{100}[/tex]

      = 10

Therefore, measure of side AD = 10 units

Answer & Step-by-step explanation:

Assuming that there is a constant rate of change, we can use the equation:

[tex]y=kx[/tex]

k is the constant rate of change. Set up an equation in which the pounds are determined by the rate of change between kilograms and pounds:

[tex]1=k(2.2)[/tex]

Isolate the variable k:

[tex]\frac{1}{2.2}=\frac{k(2.2)}{2.2}\\\\\frac{1}{2.2}=k[/tex]

Set up another equation like so:

[tex]\frac{y}{x}=\frac{y}{x}[/tex]

Insert values:

[tex]\frac{1}{2.2}=\frac{y}{112}[/tex]

Solve for y. Cross multiply:

[tex]1(112)=2.2y\\\\112=2.2y[/tex]

Isolate the variable. Divide both sides by 2.2:

[tex]\frac{112}{2.2}=\frac{2.2y}{2.2} \\\\ y=50.9090...[/tex]

So, there are about 50.9 kilograms in 112 pounds.

:Done

Answer:

y=-1

x=2

Step-by-step explanation:

5x-4y=14 multiply by 4

4x+7y=1 multiply by 5

20x-16y=56

20x+35y=5 eliminate by subtracting

-51y=51

y=-1

plug back in to get x

4x+7(-1)=1

x= 2

Answer:

n = 5/7 or 0.7

Step-by-step explanation:

The goal is to isolate the variable N. First, you distribute the fractions to their repsective parentheses.

1/2(5n + 8) = 3/4(12 - 6n)

2.5n + 4 = 9 - 4.5n

2.5n + 4.5n = 9 - 4

7n = 5

Divide both sides by 7, and you get n = 5/7 or 0.7

Answer:

Step-by-step explanation:

Mass and velocitry

Answer:

to find the domain and range you need to take (x,y)

domain would be all the x coordinates in number order or 1,2,3,4. same for range but with the y-coordinates.

if you have r{2,2,2} then you should but just r;{2}

hope i helped

Answer: 70 degrees

Step-by-step explanation: The supplement of an angle is the angle that has to be added to make 180°. So, the supplement of 110° is 70° because 110+70= 180.

Answer:

Do you have a picture of the problem/graph?

Step-by-step explanation:

Only then, can i provide an acurate answer!

pls & thx

Answer:

50

Step-by-step explanation:

Answer:

-6/7

Step-by-step explanation:

since both fractions have a common denominator (bottom part of fraction) you would end up subtracting 4-10 which would give you a -6. the denominator stays 7 so you end up with -6/7

Answer:

Step-by-step explanation:

Given

If

Then

Since perimeter can't be negative or zero, the domain will be:

Correct choice is A

Answer:

The area of the square being 81 sq m, each side will be 81^0.5 = 9 m. The perimeter is thus 4 times the side = 4*9 = 36 m. The sides of the square are the square root of the area (81m^2), which is 9m.

Step-by-step explanation:

Hope dis helps

Answer:

1.11111111 is rational

1.567 is a rational number.

Step-by-step explanation:

1.11111111 is rational

1.567 is a rational number.

1.101101110 is irrational

so its choice 1 and 2

Answer:

G=32 B=55

Step-by-step explanation:

55+32=87

I know this answer is right bc I got it right on my ws.

Answer:

The probability of hitting the circular area = P(H) = favorable area/ total area = Area of the circle / Area of the square

Step-by-step explanation:

= π/9

Answer:

0

Step-by-step explanation:

[tex]2018 \times (|\frac{1}{2017} - \frac{1}{2016} | + |\frac{1}{2018} - \frac{1}{2017}| - |\frac{1}{2018} - \frac{1}{2016}|)[/tex]

1/2017 is smaller than 1/2016. 1/2018 is smaller than 1/2017. And 1/2018 is smaller than 1/2016. So we can rewrite this as:

[tex]2018 \times ((\frac{1}{2016} - \frac{1}{2017} ) + (\frac{1}{2017} - \frac{1}{2018}) - (\frac{1}{2016} - \frac{1}{2018}))[/tex]

Distribute:

[tex]2018 \times (\frac{1}{2016} - \frac{1}{2017} + \frac{1}{2017} - \frac{1}{2018} - \frac{1}{2016} + \frac{1}{2018})[/tex]

Simplify:

[tex]2018 \times (0)[/tex]

[tex]0[/tex]

answer : 31/40 = 93/120

5/6 = 100/120

Answer:

Solve for x or y,  Ax + By = 0

x=1  y=unknown number.

Step-by-step explanation: