the square with a side length (x + 3) and an equilateral triangle with side lengths (3x-1) have the same perimeter what is the value of x?

Help please

Answers

Answer 1

Answer:  x = 9/5 or  [tex]1\frac{4}{5}[/tex]

35 1/5 is the perimeter of the square and the triangle.

Step-by-step explanation:

The square has 4 sides, so the perimeter of the square is 4(x+3)

The triangle has 3 sides so the perimeter is 3(3x-1)

The perimeters are equal, so 4(x+3) = 3(3x-1)

Solve by distributing and then

4x +12 = 9x - 3  subtract 4x from both sides and add 3 to both sides

4x-4x +12 -3 = 9x-4x -3 +3  cancel the zero sums and combine similar terms.

9 = 5x  divide both sides by 5

x =  9/5

Check:  4(9/5 +3) = 3[3(9/5) -1]

36/5 + 3   = [3( 27/5  -1 ]   27/5 -3  -3 equivalent -15/5  27/5 -15/5 = 12/5

36/5 = 3(12/5)  = 36/5   TRUE!  simplify to mixed numbers

35 1/5 is the perimeter of the square and the triangle.

Answer 2

Answer:

u,

Step-by-step explanation:


Related Questions

Habiba wants to buy a new laptop. She purchases it for $950 and finances it for 3 years at an interest rate of 9.2%. How much interest will she pay?

Answers

Purchased for: 950
Interest rate: 9.2%
Time: 3 years

Interest payment: $262.2

Which binomial is a factor of the following quadratic? K2-12k+36

Answers

9514 1404 393

Answer:

  (k -6)

Step-by-step explanation:

The given quadratic is a perfect square, so has one repeated binomial factor:

  k^2 -12k +36 = (k -6)^2

K-6 is the answer because the factor

Which number set correctly represents the range of the given data?
{(0, 0), (2, 0), (3, 0), (5, 0)}

{0, 2, 3,5)
{0, 2, 3)
{0,2)
(0)

Answers

Answer:

I would assume {0, 2, 3, 5}

Step-by-step explanation:

I would assume that answer because all three are given in the range of the given data set.

Answer:

The answer is [0] (D)

Step-by-step explanation:

Given the fact that the Range is Y value, we see 0,0,0,0

So its 0

Kenya has 2 hours to work a 100 problem math test at what rate must she work in order to finish in 2 hours A. 0.83 B. 1.23 C. 1.41 D. 1.35

Answers

Answer:

A 0.83

Step-by-step explanation:

2 Hrs = 120 Minutes

100 : 120 = 0.83 minutes per questions

Kenya must complete 0.83 questions per minute in order to finish the test in two hours.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Kenya has 2 hours to work on a 100 problem math test.

We know, 2 hours is equal to 120 minutes.

Therefore, The rate per minute at which she must complete one question in order to complete it in two hours is,

= (100/120).

= 0.83.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ6

What is the value of the following function when x = 0?
5
4
Q
NO
2
3
4
5
x
O y=-5
O y=-2
O y=-1
V=

Answers

Answer:

so I am not sure what fiction you are talking about but in order to solve you would substitute 0 in for x in the function. this would represent the y intercept.

Which is the solution set of the inequality 15 y minus 9 less-than 36

Answers

Answer:

Someone hurry and help me and this person answer this becuase this s on my test  and we need help

Step-by-step explanation:

Answer:

C. y<3

Step-by-step explanation

got it right on edge

Please solve for x and is it complementary or supplementary

Answers

the answer is 10 x and i think complementary but i could be wrong so you may want someone else to answer that

Maliah goes to an electronic store. Let y represent the price of a laptop and let x
represent the price of a television. The equation y= 3x + 22 relates the prices.
Which of the following statements are true? Select all that apply.

Answers

Answer:

A and C if this was ABCDE

Step-by-step explanation:

150 times 3 plus 22 would equal 450 plus 22 which is 472,

265 times three is 795 plus 22 is 817,

for the BDE, 175 times 3 is 525 plus 22 is 547, 300 times 3 is 900 plus 22 is 922, and 345 times 3 is 1035 plus 22 is 1057

Please help me answer this :)?

Answers

Can you add an image please?

The recommended storage temperature for a certain type of squash is 10°C to 13°C. Which inequality
represents the possible storage temperatures F (in degrees Fahrenheit) of the squash.

Answers

Answer:

The simultaneous inequation representing the recomended storage temperature is:

[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]

Step-by-step explanation:

In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.

Bounds can be converted into Fahrenheit degrees from Celsius degrees:

[tex]T_{F} = \frac{9}{5} \cdot T_{C}+32\,^{\circ}F[/tex] (Eq. 1)

Where:

[tex]T_{C}[/tex] - Temperature, measured in Celsius degrees.

[tex]T_{F}[/tex] - Temperature, measured in Fahrenheit degrees.

Lower bound ([tex]T_{C} = 10\,^{\circ}C[/tex])

[tex]T_{F} = \frac{9}{5}\cdot (10\,^{\circ}C) + 32\,^{\circ}F[/tex]

[tex]T_{F} = 50\,^{\circ}F[/tex]

Upper bound ([tex]T_{C} = 13\,^{\circ}C[/tex])

[tex]T_{F} = \frac{9}{5}\cdot (13\,^{\circ}C) + 32\,^{\circ}F[/tex]

[tex]T_{F} = 55.4\,^{\circ}F[/tex]

The simultaneous inequation representing the recomended storage temperature is:

[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]

I don’t know how to do this one.

Answers

Answer:

(a) The unit circle is centered at (0,0) with a radius of 1.

(b) The equation of a circle of radius r, with a center located at (0,0):

x²+ y² = r².

(c) (i) P(1,0)

    (ii) P(0,1)

    (iii) P(-1,0)

    (iv) P(0,-1)

Step-by-step explanation:

Part (a)

The unit circle is centered at (0,0). This point is the origin.

The radius of the unit circle is 1

The term "unit" means "one", which describes the radius length.

=========================================================

Part (b)

The equation of the unit circle is x^2+y^2 = 1

The general equation of any circle is (x-h)^2+(y-k)^2 = r^2

In this case, the unit circle has center (h,k) = (0,0) and radius r = 1.

=========================================================

Part (c)

The following four points are on the unit circle

(1,0)(0,1)(-1,0)(0,-1)

As shown below in the diagram. The idea is to plug each given coordinate into the equation from part (b), and solve for the missing variable.

For example, if we know x = 1, then...

x^2+y^2 = 1

1^2+y^2 = 1

1+y^2 = 1

y^2 = 1-1

y^2 = 0

y = sqrt(0)

y = 0

Meaning x = 1 leads to y = 0. So (x,y) = (1,0) is one point on the circle. The other parts are handled in a similar fashion.

Suppose a university advertises that its average class size is 32 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 40 classes was​ selected, and the average class size was found to be 34.8 students. Assume that the standard deviation for class size at the college is 99 students. Using α=0.10​, complete parts a and b below.a. Does the student organization have enough evidence to refute the​ college's claim?Determine the null and alternative hypotheses.Upper H 0H0​:μ▼Upper H 1H1​:μ▼

Answers

Answer:

a

The  student does have enough evidence to refute the college claim

b

The null hypothesis is [tex]H_o : \mu \le 32[/tex]

The alternative hypothesis is [tex]H_a : \mu > 32[/tex]

Step-by-step explanation:

From the question we are told that

The average class size is [tex]\mu = 32[/tex]

The sample size is [tex]n = 40[/tex]

The sample mean is [tex]\= x = 34.8[/tex]

The standard deviation is [tex]\siigma = 99[/tex]

The significance level is [tex]\alpha = 0.10[/tex]

The null hypothesis is [tex]H_o : \mu \le 32[/tex]

The alternative hypothesis is [tex]H_a : \mu > 32[/tex]

Generally the test statistics is mathematically represented as

[tex]z =\frac{\= x - \mu}{ \frac{\sigma }{\sqrt{n} } }[/tex]

=> [tex]z = \frac{34.8 - 32}{ \frac{99 }{\sqrt{99} } }[/tex]

=> [tex]z = 0.1789 [/tex]

Generally the p-value is mathematically represented as

[tex]p- value = P (Z > 0.1789)[/tex]

From the z- table

[tex] P (Z > 0.1789) =0.42901 [/tex]

So

[tex]p- value = 0.42901 [/tex]

So from the calculation we can see that [tex]p- value > \alpha[/tex] so we fail to reject the null hypothesis

This means that the student does not have enough evidence to refute the college claim

     

18% of 200 is between which two numbers?

Answers

Answer:

35&37

Step-by-step explanation:

Well 18% of 200 is 36 so...

A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 11 members and any member can be elected to each position? No person can hold more than one
office

Answers

11 members and we have to pick three without replacement.

[tex]_{11} C_{3}[/tex] = 165

There are 165 possible sets of officers

Demarcus wants at least $18 to buy a
shirt. He already has $4. Write
the inequality that could be used to find
how much more money, m, Demarcus
needs?

Answers

Answer:

18= 4+ x

Step-by-step explanation:

ASAP
Which numbers are solutions of 4p+6<3p?

Choose exactly two answers that are correct.

−12

−9

−6

6

Answers

Answer:

See below

Step-by-step explanation:

Solving inequality:

4p + 6 < 3p4p - 3p < 6p < 6

3 of provided answers are correct:

-12, -9, -6

If given correct, any combination of two can be shown as answer:

-12, -9-12, -6-9, -6

Answer:

-12 and -9

Step-by-step explanation:

I just answered the problem on a quiz

12x ÷ 4y (if x = -8 and y = 3)​

Answers

Answer:

- 8

Step-by-step explanation:

Step 1:

12x ÷ 4y         Equation

Step 2:

12 ( - 8 ) ÷ 4 ( 3 )     Input x and y

Step 3:

- 96 ÷ 12      Multiply

Answer:

- 8      Divide

Hope This Helps :)

A box has length 5 feet, width 8 feet and height 3 inches. Find volume in cubic feet and in cubic inches

Answers

Answer:

120 cubic feet

Step-by-step explanation:

The formula for volume = length x width x height. Therefore, in order to get the volume you multiply 5 , 8 and 3, and when you multiply all three you get 120 inches cubic feet.

Don’t understand b) pls explain

Answers

Answer:

−s2+2st−t2−s+t

Step-by-step explanation:

−(s−t)−(s−t)2  

distributed would be

−s+t+−s2+2st+−t2

Answer:

Below in bold.

Step-by-step explanation:

-(s - t) - (s - t)^2       Take out  (s - t):

= (s - t)( -1 - (s - t)

= (s - t)(t - s - 1). <----  Factored form.

Or, if you want to  expand the expression:

-(s - t) - (s - t)^2

= - s + t - (s^2 - 2st + t^2)

= -s^2 + 2st - t^2 - s + t.

Holi holi Holi holi Holi holi les voy decir mi tik si tengo segui​

Answers

Answer:

yeah i understand that

Step-by-step explanation:

holiiiiiiiiiiii

Step-by-step explanation:

what is 13,899 rounding to the thousands

Answers

Answer: 14,000

...............................

Answer:

Step-by-step explanation:

round 13,899 to the nearest thousands which would be

14,000


Christian's furniture store buys a desk and chair at a wholesale price of $320.00 If the markup rate at Christian's store
is 40%, what is the total markup in dollars.

Answers

$128

Step-by-step explanation:

you can literally just look it up ya know?

31. Find the value of each variable.





Answers

Answer:

z = 50

x = 26

Step-by-step explanation:

set 3z + 10 = 4z - 40 and solve: z = 50

create equation for 5x:

5x + 50 = 180, solve: x = 26

Is a function represented by the table linear? 10 -6 11 -1 1 12 6 13 12

Answers

Answer:

If so then this table is linear

Step-by-step explanation:

when looking at a table, to check if it is linear, simply look at the x values and if there are any duplicates then ur answer would not be linear. but for this table their are no duplicate x values so it is linear

A carnival ride holds 30 people at a time. In one hour,
220 people went on the ride. It was full each time
except the last. How many times was the ride
completely filled?

Answers

Answer:

7

Step-by-step explanation:

Find all the factors of 125

Answers

Answer:

1,5,25,125,

all can be added or multiplied to equal 125

The value of 8 in 8596 is blank the value of 8 in 985

Answers

The value of 8 in 8596 is 100 times the value of 8 in 985

To do this type of problem we can really sound them out. What I mean by that is say where the 8 is in particular.

When you look at 8596 you say eight THOUSAND. Therefore it is in the thousand spot. Now look at 985 you say nine hundred and EIGHTY five. Because we know that it isn’t in the hundreds spot because 9 is in it then we go to the next value which is the 10’s spot.

Now we want to look at the difference between the 1000 and 10 spot. How do you get 10 to 1000? Multiply by 100 and add two zeros to therefore get 1000. This would mean that the value of 8 in 8596 is 100 times the value of 8 in 985.

A company earns $150 a week for 9 weeks. It then has a loss of 565 a week for 25 weeks. At the end of the 34 weeks what is the company's
balance?

Answers

Answer:

54

Step-by-step explanation:

multiply 9 and 7 which is 63. then multiply 63 by 150 which is 9,450. then multiply 25 and 7 which is 175. then divide 175 and 9,450. and the answer is 54. Yw!!

We need to write and solve an algebraic equation to find the final company's balance.

The answer is: The final balance is -$275.

Let's see how to get that.

First, we know that the company earns $150 per week for 9 weeks, then the total amount of money that the company earns in these 9 weeks is:

$150*9 = $1,350

Then the company losses $65 per week for 25 weeks, then the amount that the company losses is:

$65*25 = $1,625

The final balance will be the difference between what the company earned and what the company lost, then the final balance is:

balance = $1,350 - $1,625 = -$275

This means that the company's final balance is -$275.

If you want to learn more, you can read:

https://brainly.com/question/24770120

Write thirty eight thousandths as a decimal

Answers

Answer:

0.0038

Step-by-step explanation:

The thousands spot is four away from the decimal so you would put the eight right there, the three in front of it, and fill in the other spots with zeros.

0.0038 the thousands spot is four away so you would put the decimal at that spot sorry if that’s confusing I don’t know how to explain stuff very well lol

pwease can i have help pwease if two answer I will give brainliest

Answers

distributive property
commutative property of addition
distributive property? (i’m not sure)
subtraction property of inequality
subtraction property of inequality
division property of inequality
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