The side length of an equilateral triangle is 6x - 12. Write an expression for the perimeter of the triangle in simplest form.
Answer:
18x - 36
Step-by-step explanation:
In an equilateral triangle the 3 sides are congruent, then
perimeter = 6x - 12 + 6x - 12 + 6x - 12 ← collect like terms
= 18x - 36
The required expression would be 18x - 36 for the perimeter of the triangle in simplest form.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
As we know in an equilateral triangle the 3 sides are congruent.
The perimeter of the triangle = 6x - 12 + 6x - 12 + 6x - 12
Combine the likewise terms and we get
The perimeter of the triangle = 18x - 36
Therefore, the required expression would be 18x - 36 for the perimeter of the triangle in simplest form.
Learn more about the perimeter of a triangle here:
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Which of the following is a transformation of the graph y = (x - 5)^2?
A.Shifts down 5.
B.Shifts right 5.
C.Shifts left 5.
D.Shifts up 5.
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
5 less than a number x is 3 times the sum of a number x and 2? (i need a word problem not the answer)
Answer:
Yesterday I squeezed 2 kilos of apples in a barrel.
Today I have picked 5 extra kilos of apples and save them in a basket.
By the end of the day, I want to squeeze some of them and add to the barrel.
Apple juice from the barrel is valued 3 times the same amount of raw apples.
I want to find how many apples I can squeeze today (x) such that the value of the remaining raw apples is equivalent to the total value of produced apple juice.
Step-by-step explanation:
The equation is 5-x = 3 * (x + 2).
If x is the amount of apple to squeeze (in kilos) then 5-x is the remaining raw apples and x+2 is the total quantity of juice.
Since that juice is valued 3 times the raw apples we obtain the equivalence defined in the equation above.
Jeremy lost his dog, and wants to make some signs to put up in the neighborhood. The cost to make 8 paper signs and 2 laminated signs is $12.00. The cost to make 10 paper signs and 10 laminated signs is $30.00. What is the cost of 1 laminated sign?
Answer:
cost to make paper signs = $1
cost to make laminated signs = $2
Step-by-step explanation:
Let
x = cost to make paper signs
y = cost to make laminated signs
8x + 2y = 12 (1)
10x + 10y = 30 (2)
Multiply (1) by 5
40x + 10y = 60 (3)
10x + 10y = 30 (2)
Subtract (2) from (3) to solve for x
40x - 10x = 60 - 30
30x = 30
x = 30/30
x = $1
Substitute x = 1 into (1)
8x + 2y = 12
8(1) + 2y = 12
8 + 2y = 12
2y = 12 - 8
2y = 4
y = 4/2
y = $2
cost to make paper signs = $1
cost to make laminated signs = $2
1. Kristen spent $131 on shirts at Target last week. She bought some fancy shirts for
$28 each and then some plain t-shirts for $15 each. If she bought a total of 7 shirts,
then how many of each type of shirt did she buy?
problem #1
problem #2
Answer:
Kristen bought 2 fancy shirts and 5 plain t-shirts.
Step-by-step explanation:
Given that,
Kristen spent $131 on 7 shirts.
Cost of one fancy shirt = $28
Cost of one plain t-shirt = $15
Let,
x be the number of fancy shirts
y be the number of plain t-shirts
x+y = 7 Eqn 1
28x+15y=131 Eqn 2
Multiplying Eqn 1 by 15
15(x+y=7)
15x+15y=105 Eqn 3
Subtracting Eqn 3 from Eqn 2
(28x+15y)-(15x+15y)=131-105
28x+15y-15x+15y=26
13x=26
Dividing both sides by 13
[tex]\frac{13x}{13}=\frac{26}{13}\\x=2[/tex]
Putting x=2 in Eqn 1
2+y=7
y=7-2
y=5
Hence,
Kristen bought 2 fancy shirts and 5 plain t-shirts.
Help asap??!!?!?!.....................................!
1,329.8 to 1 decimal place
Answer:Here you can enter any number with as many or as few decimal places as you want, and we will round it to the nearest one decimal place. Please enter your
Step-by-step explanation:
Which answer describes the type of sequence?
3, 4, 5, 6, ...
geometric
neither arithmetic nor geometric
arithmetic
Answer:
arithmetic
Step-by-step explanation:
an arithmetic sequence is when you add or minus the same number
Answer:
the answer to this question is that the sequence is arithmetic sequence
Step-by-step explanation:
because the difference between the consecutive terms is consecutive terms is constant that sequence is arithmetic sequence. And is the sequence the numbers are increasing with +1 increment.
Fran prepared 200.2 grams of dough. How much dough did she use measured in ounces?
Answer:
7 ounces
Step-by-step explanation:
A snail crawls 24 inches in 8 minutes.
What is the unit rate of the snail's movement?
The unit rate of the snail's movement is 3 inches per minute.
Unit rate:Important information:
A snail crawls 24 inches in 8 minutes.We need to find the unit rate.
Divide the distance by time to find the unit rate.
[tex]\text{Rate}=\dfrac{24}{8}[/tex]
[tex]\text{Rate}=3[/tex]
Therefore, the unit rate of the snail's movement is 3 inches per minute.
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Can somebody help me??
Which value is equivalent to the expression 32 × 33?
Answer:
1,056
Step-by-step explanation:
Answer 32x33=33x32 easy
Anya is spinning a big arcade wheel can make 1 revolution in 0.6 minute how many revolution can the wheel make in the 10.8 minute
Answer:
18
Step-by-step explanation:
10.8/0.6=18
Can someone help me plz??????
Answer:
0.37 rad m
Step-by-step explanation:
Answer:
14.66 inStep-by-step explanation:
Arc length formula:
s = rθ*2π/360We have:
r = 6 in and θ = 140°Finding the length of arc AB:
s = 6*140*2π/360 = 14.66 inthe volume of a cube is 64 inches.what is the length of one side of the cube?
Answer:
4
Step-by-step explanation:
you find it by base x width x height 4x4x4=64
(1 + 5) + 9 = 15 another way to right this
6+9=15
(1+5)+9=15
6+9=15
Hope it helped
Answer: 1x6+9=15 or 15x1 or 6+9=15 or 5x3=15
Step-by-step explanation:
Sasha grew 36 plants with 9 seed packets. How many total seed packets does Sasha
need if she wants to have 76 plants in her backyard in all? Solve using unit rates.
seed packets
Answer:
10 more seed packets.
Step-by-step explanation:
36/9=4 so there are 4 seeds in each packet. If she already has 36 plants, she only need 40 more to get the 76 she wants. 40/4=10 so she needs 10 more seed packets.
Nathalie has one large bowl of popcorn. She invite 3 friends over to watch a movie. Her brother takes 1/5 of the popcorn for himself. Nathalie must share the popcorn the rest equally with her friends. How much does does each friend get.
What is the slope of line a?
THIS IS A TEST AND MY GRADE IS ALR BAD ENOUGH PLS ANSWER CORRECTLY
Answer:
you forgot to put the attachment so we can see the line....
Ok but listen to streets by doja cat and vibeU-U
Answer:
aNd?
tHeREs mORe..
Step-by-step explanation:
After a robot vacuum is fully charged, it can run for 15 minutes. It can vacuum 1/2 square foot every second. Can a fully charged robot clean a room that is 400 square feet without recharging?
Answer:
The robot can clean the room without recharging.
Step-by-step explanation:
Given:
After a robot vacuum is fully charged, it can run for [tex]15[/tex] minutes.
The robot cleans [tex]\frac{1}{2}[/tex] square foot every second.
To find: If the charged robot can clean a room that is [tex]400[/tex] square feet without recharging.
Solution:
Area cleaned by the robot in [tex]1[/tex] second [tex]=\frac{1}{2}[/tex] square foot.
We know that, [tex]1[/tex] minute [tex]=60[/tex] seconds.
So, [tex]15[/tex] minutes [tex]=15\times 60=900[/tex] seconds.
Now, area cleaned by the robot in [tex]900[/tex] seconds [tex]=\frac{1}{2} \times 900=450[/tex] square feet.
The area to be cleaned is [tex]400[/tex] square feet.
Hence, the robot can clean the room without recharging.
n^2+7 at n= -3 help!
Answer:
16
Step-by-step explanation:
To solve plugin -3 for n
[tex]-3^2+7[/tex]
Then, solve using PEMDAS. First, do exponents
[tex]-3^2+7=9+7[/tex]
Next, add
[tex]9+7=16[/tex]
So, 16 is the final answer.
An airplane on autopilot took 6 hours to travel 4,200 kilometers. What is the unit rate for kilometers per hour?
Answer:
59
Step-by-step explanation:
Its easy
Find the unknown side lengths in these right triangles.
When is it true the Pythagorean Theorem is..?
A) True for all triangles
B) True for all right triangles
C) True for some right triangles
D) Never true
Answer:
Triangle 1 - [tex]\sqrt{29[/tex] (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)
Triangle 2- i couldnt figure this one out- may not be true
Pythagorean Theorem is... C) true for all right triangles
Step-by-step explanation:
what is the area of the triangle shown below?
Answer:
68
Step-by-step explanation:
The formula for finding the are of a right triangle is
A= 1/2bh
( area = base times height divided by 2)
17 is the base and 8 is the height, 8*17=136
136÷2=68
show all work please
[tex] \frac{7r}{2} \div \frac{ {14r}^{2} }{3} [/tex]
Answer:
3 / 4r
Step-by-step explanation:
Simplify : 7r/ 2 ÷ 14r²/3
7r/ 2 ÷ 14r²/3
Changing the ÷ sign to multiplication :
Multiply 7r/2 by the reciprocal of the denominator :
7r/ 2 * 3/14r²
((7 * r) / 2) * (3) / 14 * r * r
= 3 / 4r
For clarity, kindly check attached picture for detailed simplification.
could you help me quick!?
Answer:
1: 5 2: -70.98 3: C 4:A. 5:A
Step-by-step explanation:
Plz help me get the right answer
Answer:
6x^2 + 10x -1 and -5x^2 -2x + 1
6x^2 -5x^2 = x^2
+10x -2x = +8x
-1 +1 = 0
answer:
x^2 + 8x
What is the sign of 45 + (-38)
Answer:
A) POSITIVE
Step-by-step explanation:
45 +(-38)
Will become
45-38
= 7
please help me
20. Multiply: 2x (3x^2 - 5x - 3)
21. Divide: 14m^1 - 28m^8 ÷ 7m/ 7m