A square has side lengths of (5x + 6) unitd. An equilateral triangle has side lengths of (7x + 1) units. The square and the triangle have the same perimeter. What is the value of x? Solve algebraically.

Answer: 12.96 m²

Step-by-step explanation:

The area of the piece of land that the flower beds were dug in is:

= Length * width

= 5.2 * 4.8

= 24.96 m²

The flower beds were 3 in number and all had the shape of a square.

Their area is:

= 3 * (Length * width)

= 3 * ( 2 * 2)

= 3 * 4

= 12 m² for all three flower beds

Remaining land:

= 24.96 - 12

= 12.96 m²

Answer:

12a/4b = 3a/b

option C is correct answer

hope it helps

Answer:

n = 14

Step-by-step explanation:

[tex]5^n = 5^{11} * 5^3[/tex]

simplify the right side

[tex]5^n = 5^{14}[/tex]

Then you can easily see that

[tex]n = 14[/tex]

Answer:

n = 14

Step-by-step explanation:

[tex]a^{x}*a^{y}=a^{x+y}\\\\5^{n} = 5^{11}*5^{3}\\\\5^{n} = 5^{11+3}\\\\5^{n}=5^{14}\\\\[/tex]

n = 14

Answer:

90

Step-by-step explanation:

A group of 10 people is choose a chairperson and vice-chairperson. They put all 10 peoples names into a bar. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and Vice-chair are there ?

This is calculated using the Permutation formula

nPr = n!/(n - r)!

Where:

n = 10 people

r = 2 = 2 positions to be filled , Chairman and Vice chairman

Hence:

10P2 = 10!/(10 - 2)!

= 90 ways

Answer:

Write the problem as a mathematical expression. (5,5), (5,−8)

Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept. To calculate the equation of the line, use the y=mx+b format.

Slope is equal to the change in y over the change in x , or rise over run.

m=(change in y)/(change in x)

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

m=(y2−y1) / (x2−x1)

Substitute in the values of x and y

into the equation to find the slope.

m=(−8−(5)) / (5−(5))

Finding the slope m.

Undefined

x=5

Step-by-step explanation:

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (5, 5)

Point (5, -8)

Step 2: Identify

(5, 5) → x₁ = 5, y₁ = 5

(5, -8) → x₂ = 5, y₂ = -8

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Here we see that we have a number divided by 0. Since we know that we cannot divide any number by 0, our slope will be undefined. This will be a vertical line on a Cartesian plane of x = 5.

Answer:

Synonyms: Abstruse, deep, esoteric

Antonyms: Shallow, superficial

Answer:

Step-by-step explanation:

i think that its 61

Answer:

$ 3820

Step-by-step explanation:

When the car is new, it is 0 year old. It means, t = 0

Initial value = 26,000 (0.84)^0 = 26,000(1)

Initial value = $ 26000

Similarly, when car is 11 year old, t = 11

=> 26000(0.84)¹¹ = 26000(0.14691)

≈ $ 3819.842

≈ $ 3820 (round to near ten)

Answer:

Brand A

Hope this helped!

Step-by-step explanation:

Answer:

7 event

Step-by-step explanation: 50/7=7

Answer: 15(5z^2+4z+8)

Step-by-step explanation:

You take out the common values

25a² - 16b²

25*-2² - 16*3²

25*4 - 16*9

100 - 144

= -44

Answer:

prism

Step-by-step explanation:

Answer:

it is a cube but if we using the answer her it will be C.prism because a cube is a prism

Answer:

The function that can be used to describe the number (n) of bacteria after 2 minutes is;

[tex]P = 4 \cdot e^{\left(\dfrac{ln(32)}{5} \times 2\right)} \approx 4 \cdot e^{\left(0.693\times 2\right)}[/tex]

Step-by-step explanation:

The data in the table are presented as follows;

Number of bacteria; 4, 128, 4,096, 131,072

Number of minutes from initial state; 0, 5, 10, 15

The general equation for population growth is presented as follows;

[tex]P = P_0 \cdot e^{r\cdot t}[/tex]

Where;

P = The population after 't' minutes

P₀ = The initial population

r = The population growth rate

t = The time taken for the growth in population numbers

At t =  minutes. we have;

[tex]4 = P_0 \cdot e^{r\times0} = P_0[/tex]

∴ P₀ = 4

At t = 5, we have;

[tex]128 = 4 \cdot e^{r\times 5}[/tex]

[tex]\therefore e^{r\times 5} = \dfrac{128}{4} = 32[/tex]

[tex]ln\left(e^{r\times 5}\right) = ln(32)[/tex]

∴ r × 5 = ㏑(32)

r = ln(32)/5 ≈ 0.693

The number (n) of bacteria after 2 minutes is therefore;

[tex]P = 4 \cdot e^{\left(\dfrac{ln(32)}{5} \times 2\right)} \approx 4 \cdot e^{\left(0.693\times 2\right)}[/tex]

Answer:

term 1 - term 2 = sequence

so

-17-(-15) = -2

and if you minus the rest by -2 it will give you the next term

-15-(-2) = -13

-13-(-2) = -11

Answer:

2

Step-by-step explanation:

:0

Answer:

x = 34°

Step-by-step explanation:

corresponding angles made by a transversal intersecting parallel lines are congruent.

Answer: Each student will pay about $4.78

Step-by-step explanation: You have to add 76.50 and 23.95 and you will get 100.45 then divide by 21 and your product is $4.78. Hope it helped.

Answer:

400,000

Step-by-step explanation:

Answer:

400,000

Step-by-step explanation:

Answer:

It takes 40 14-inch cubes

Step-by-step explanation:

Answer:

1) 3 , 2)Add 8 floats 3) -2 4) Remove 8 anchors.

Step-by-step explanation:

Answer:

x = [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{10}[/tex]

Step-by-step explanation:

2x - 8 = 12 - 4x

1) Add 8 on boths sides:

2x - 8 + 8 = 12 - 4x + 8

2x = 20 - 4x

2) Add 4x to both sides:

2x + 4x = 20 - 4x + 4x

6x = 20

3) Divide 6 on both sides

[tex]\frac{6x}{6} = \frac{20}{6}[/tex]

x = [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{10}[/tex]

Answer:

K and R      S and D

Step-by-step explanation: i hope this helps

Answer:

Step-by-step explanation:

5/4

Answer:

7.5 x .25= 1.875 square feet

Answer:

3+4+2+4=13-4+2=7

Step-by-step explanation: