An equilateral triangle has a perimeter of 12x + 33. What is the length of each side of the triangle?

Answers

Answer 1

Answer:

4x + 11

Step-by-step explanation:

Here all sides of the triangle have the same length.  Thus, if the Perimeter is 12x + 33, and there are three sides, then the length of one side is

12x + 33

------------- = 4x + 11

      3


Related Questions

can someone please please please help me asap?!

Answers

Answer:

-1.5

Step-by-step explanation:

Rise is 3, run is -2

I hope this helps..

2
which one of the following mappings
represents y as a function of x?
A
18
24
27
3
4
12
18
24
27
2
6
12
18
24
27
2
3
6
12
18
24
27
8.56

Answers

It could be 4?? I could be wrong tho, sorry if I am!

Juan wants to use all the ingredients in the table to make trail mix

Answers

Answer:

okay, he can do it

is there supposed to be something attached? there's not enough information to solve this.

Step-by-step explanation:

Una persona invirtió $25000 en dos cuentas bancarias,una de estas paga el 5% y la otra el 6% de interés simple. Si la persona recibió $1440 en un año ¿que cantidad invirtió en cada cuenta?

Answers

Answer:

Esta persona invirtió $ 6000 a la cuenta bancaria que paga 5 % de interés simple anual y $ 19000 a la cuenta bancaria que paga 6 % de interés simple anual.

Step-by-step explanation:

Esta persona invierte [tex]x[/tex] a la cuenta bancaria que paga 5 % de interés simple anual y [tex]25000-x[/tex] a la cuenta bancaria que paga 6 % de interés simple anual. Recibe [tex]1440[/tex] como consecuencia de las ganancias de las dos cuentas, es decir:

[tex]\frac{5\cdot x}{100} + \frac{6\cdot (25000-x)}{100} = 1440[/tex] (1)  

Ahora procedemos a resolver la ecuación resultante:

[tex]5\cdot x + 150000-6\cdot x = 144000[/tex]

[tex]150000-144000 = 6\cdot x - 5\cdot x[/tex]

[tex]x = 6000[/tex]

En consecuencia, esta persona invirtió $ 6000 a la cuenta bancaria que paga 5 % de interés simple anual y $ 19000 a la cuenta bancaria que paga 6 % de interés simple anual.

Write an equation of the line
in slope intercept form that
has a slope of -6 and
passes through the point
(2, -4).

Answers

Answer:

y=-6x+8

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.

We know a point (2,-4) and a slope -6.

We can subtsitute what we know into the equation above, to find what the y intercept is, since the line will pass through the point given.

-4=-6(2)+b

multiply

-4=-12+b

add 12 to both sides

8=b

the y intercept is (0,8)

Now we know what b is, so we know what the full equation is:

y=-6x+8

hope this helps!

The points A, B and C have position vectors OA = 6,2, OB = 3,4 and OC = 12, -2 respectively.
Express the vector:
a) BA
b) BC​

Answers

Answer:(a) BA = (-3,2)   (b) BC = (-9,6)

Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2).                     (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).

Carlota’s smartphone contains 500 megabytes of data. She uses 300 megabytes for applications and the rest for music. If each song takes an average of 4 megabytes, which equations can be used to find the number of songs on Carlota’s smartphone? Select all that apply. A. 500−300=4n B. 500+300=4n C. 4n+300=500 D. 300−4n=500

Answers

Answer: A:500-300=4n and C:4n+300=500

Step-by-step explanation:

what is 3a + 3/6. if a = 1/4

Answers

Answer:

5/4

Step-by-step explanation:

Solve by plugging in the value to "a".

Solve:

3a + 3/6

3(1/4) + 3/6

Multiply the parenthesis.

3/4 + 3/6

Simplify 3/6

3/4 + 1/2

Find the common denominator, which is 4. Make the denominators the same.

3/4 + 2/4

Add the fractions.

5/4

Y = - 3x 4x - 2y = -20
Solve for x

Answers

Answer:

x=-2

Step-by-step explanation:

y=-3x

4x-2y=-20

2y=4x+20

y=2x+10

subs y

2x+10=-3x

5x=-10

x=-2

What is the slope of this non vertical line?!

Answers

Answer: 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y = 3x - 1

If P(A)=0.54 then what value of P(B) the event A and B are complementary event

Answers

Answer:

P(B) = 0.46

Step-by-step explanation:

Probability

The complementary event of a given event A is defined as "not A" or the event that A does not occur.

For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.

Event A and its complementary event (call it B) must satisfy:

P(A) + P(B) = 1

If we know P(A)=0.54, then

P(B) = 1 - P(A)

P(B) = 1 - 0.54

P(B) = 0.46

A local venue is selling tickets to a show. They are selling $10 and $15 tickets, each with different seating. If the venue sells 1,000 tickets and collects a total of $12,200 from sales, how many of each type of ticket did they sell? Please explain the work

Answers

Answer:

Let $10 tickets be (x)

Let $15 tickets be (y)

Now we know they sold 1000 tickets

And they earned 12,200 from sales

So we can say

X+Y=1000

10x+15y=12,200

We can do substitution

So lets find Y first

Y=1000-x (basically x+y=1000 but solved for Y)

10x+ 15 ( 1000-x)= 12,200

You’d get

10x+15000-15x=12200

Combine and solve for x and you’ll get

x=560

So we know that x is 560

We can just use that to solve for Y

Since X is 560 tickets

And 1000 tickets soled

1000-560=440

440 ($15) tickets

560 ($10) tickets

Multiplying and Dividing Radical Expressions

Answers

Answer:

The answer for the first equation is,

B. 11

The answer for the second equation is,

D.none of these.

Answer:

first question:  [tex]\sqrt[4]{110}[/tex] (last option)

second question:  2a³b²· [tex]\sqrt[3]{3a}[/tex]  (3rd option)

Step-by-step explanation:

1st question - follow this rule: [tex]\sqrt[4]{m}[/tex] · [tex]\sqrt[4]{n}[/tex] = [tex]\sqrt[4]{m x n}[/tex]

2nd question: [tex]\sqrt[3]{24a^10b^6}[/tex] = [tex]\sqrt[3]{2^3a^3a^3ab^3b^3}[/tex] = 2·a·a·b·b[tex]\sqrt[3]{3a}[/tex] = 2a²b²[tex]\sqrt[3]{3a}[/tex]

Plz help find each circle measure !!!!!

Answers

Answer:

for the first one it is

ED= 26

CF= 13

mED= 136

mHD= 68

mCE= dont know this one but the other ones im positive their right

Step-by-step explanation:

9514 1404 393

Answer:

  ED = 26; CF = 13; arc ED = 136°; arc HD = 68°; arc CE = 88°

  QU = 8; QR= 16; arc ST = 114°; arc QR = 114°; arc XT = 57°

Step-by-step explanation:

Chords the same distance from the center of the circle are the same length. Chords of the same length intercept arcs of the same angle measure. A radius perpendicular to a chord bisects it and the arc it subtends. The sum of arcs in a circle is 360°. These facts are used to solve the problems here.

__

Circle J

ED = 2×GD = 26

CF = GD = 13

arc ED = arc CD = 136°

arc HD = 1/2 arc CD = 68°

arc CE = 360° - 2×136° = 88°

__

Circle Y

QU = 1/2×ST = 8

QR = ST = 16

arc ST = arc QR = 1/2(360° -34° -98°) = 114°

arc XT = 1/2 arc ST = 57°

taryn sold gift wrapping paper for a school project she sold 15 rolls of paper write an inequality to represent the amount she earned for the fundraiser

Answers

Answer:

Step-by-step explanation:

15× 8 = 120

Answer:

d ≥ 120

Step-by-step explanation:

Multiply 15 x 8

= 120

At Least means we use the ≥ sign.

So its d ≥ 120

Sorry if this is late!

How do I find n in the the permutation equation of nP3 = 990

Answers

Answer:

n=11

Step-by-step explanation:

Permutations

The formula to calculate permutations is:

[tex]\displaystyle nPm=\frac{n!}{(n-m)!}[/tex]

We know nP3=990. Substituting:

[tex]\displaystyle nP3=\frac{n!}{(n-3)!}=990[/tex]

Expanding the factorial in the numerator:

[tex]\displaystyle \frac{n(n-1)(n-2)(n-3)!}{(n-3)!}=990[/tex]

Simplifying:

[tex]n(n-1)(n-2)=990[/tex]

This equation can be easily solved by inspection. The product of three consecutive numbers resulting 990. Starting from greatest to smallest, those numbers are 11,10, and 9, thus:

[tex]n(n-1)(n-2)=11*10*9[/tex]

It follows that n=11

What is the value of x in the equation 5/2x + 2 = 3.5
ahh math

Answers

Answer:

x=5/26

Step-by-step explanation:

5/2x+2=3.5

5/2x+2=3×5

5/2x=15-2

5/2x=13

5=26x

5/26=x

x=5/26

hope this help if you want a better explanation I'll explain in the comments or something

which equation shows a proportional relationship?

Answers

Answer:

Option D i.e. y = 1/2 x is the correct answer.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

where k is the constant of proportionality.

In our case, the only equation which maps in accordance with y = kx is y = 1/2x.

i.e.

y = 1/2 x

here k = 1/2

Thus, k = 1/2 is the constant of proportionality.

Therefore, option D i.e. y = 1/2 x is the correct answer.

What is the slope of the table?

Answers

Slope = Rise/Run = Rise(change in X) / Run(change in Y)
= 2/12
= 1/6
So, the slope of this table is 1/6.

the difference of 18 and m is equal to the product of m and 7

Answers

Answer:

M = 11/2

Step-by-step explanation:

first set up the problem

18-m = m+7

subtract m to both sides

18 -2m = 7

then subtract 18

-2m = -11

divide by negative 2

m = 11/2

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Answers

since 4 is between 2 & 5 you input it into the middle equation.

x=4

so the answer is 4!

X+3238-f385cdv/3 help me

Answers

Answer:

Thanks so much, let me know if you need help with hw or something :)

Answer:

Can't tell of this trolling or not

But I'll take the points?

17. The sum of four consecutive integers is at most 100. Find the integers.
and solve.

Answers

Answer:

23,24,25,26

Step-by-step explanation:

X+(x+1)+(x+2)+(x+3)= 100

4x+6=100

4x=100-6

X=94/4

X=23.5

Ads the sum is said to be AT MOST  100 SO WE WILL ROUND DOWN THE NUMBER

So x=23

X+1=24

X+2=25

X+3=26

Sum=23+24+25+26=98

98<100 so answer is correct

pls help is ending of semester tomorrow

Answers

Answer:

18.7

Step-by-step explanation:

5.5 × 6.8 = 37.4 / 2 = 18.7

Answer:

This triangle is an isosceles triangle, so we have the formula: S = (1/2 x a) x h

A = (1/2 x 6.8 ) x5.5 = 18.7 ft²

Step-by-step explanation:

On a multiple choice test, problem 1 has four answer choices and problem 2 has three choices. Each problem has only one correct answer. What is the probability of randomly guessing the correct answer to both problems?

Answers

Answer:

the probability is 28.6% that you get both correct

Step-by-step explanation:

3. Bond energy is the energy
a. absorbed as a molecule forms.
b. change as atoms get closer together.
C. required to break a chemical bond and form separate, neutral
atoms.
d. of two covalently bonded atoms.

Answers

The answer is C
Have a nice day <3

heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp thx in advance :)

Answers

Answer:

After multiplying, we get two Pythagorean triples (sorry for not writing it all out, it's a really long process). With those, we can simplify down to 289/100

simplify
[tex](3x ^{2} ) ^{3} [/tex]
this is it ​

Answers

First two are the explanation and the last one is the answer :)

HELP please this is urgent!!!!! (Tangent lines)

Answers

Answer:

Perimeter = 32 cm

Step-by-step explanation:

Use the property of tangents drawn to a circle,

"Length of tangents drawn to a circle drawn from a point given outside the circle are equal"

AE = AH = 3 cm

BE = FB = 4 cm

CG = CF = 5 cm

Since, ∠B ≅ ∠D,

Therefore, length of tangents drawn from D will be equal to the length of tangents drawn form B.

Therefore, DG = DH = 4 cm

Now AB = AE + BE

              = 3 + 4

              = 7 cm

BC = FB + CF

     = 4 + 5

      = 9 cm

CD = CG + DG

     = 5 + 4

     = 9 cm

AD = AH + HD

     = 3 + 4

     = 7 cm

Perimeter of ABCD = AB + BC + CD + AD

                                                   = 7 + 9 + 9 + 7

                                                   = 32 cm

what is y=8.5x contasnt of proportionality

Answers


The constant of proportionality represents the unit cost .You use the equation y = 8.5 x to calculate the total cost y in dollars for x in what ever you are buying
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