HELP PLZ!!!

In an equilateral triangle, all 3 sides are equal length, and the perimeter of an equilateral triangle is 3 times the length of one side. If one side measures 9 + 3x, and the measure of another side is 5x – 5, what is the perimeter of the equilateral triangle?

Answers

Answer 1

Check the picture below.

 HELP PLZ!!!In An Equilateral Triangle, All 3 Sides Are Equal Length, And The Perimeter Of An Equilateral
Answer 2

Answer:

The perimeter of the equilateral triangle is 90 units.

Step-by-step explanation:

Let the side of the triangle be = s

So, perimeter of equilateral triangle = [tex]s+s+s=3s[/tex]

One side measures 9+3x and the measure of another side is 5x-5.

Both are equal, so we get the sides as:

[tex]9+3x=5x-5[/tex]

[tex]3x-5x=-5-9[/tex]

[tex]-2x=-14[/tex]

x = 7

We get the sides as :

First side [tex]9+3(7)[/tex]

= 30

OR

Second side [tex]5(7)-5[/tex]

= 30

And the third side will also be 30 as it is equilateral triangle.

Hence, the perimeter is = [tex]30+30+30=90[/tex] units

Therefore, the perimeter of the equilateral triangle is 90 units.


Related Questions

19/25 into a decimal

Answers

Answer:

0.76

Step-by-step explanation:

19 divided by 25 is 0.76.

0.76

19 divided by 25

3) Michael, the ice cream man, can make 24 ice cream sandwiches in 1 hour. At this rate, how
many ice cream sandwiches can he make in 4 hours?

Answers

Answer:

24 times 4 = 96

Answer: 96 ice cream sandwiches

Step-by-step explanation:

24 ice cream sandwiches equals 1 hour

24 ice cream sandwiches x 4 hours = 96 ice cream sandwiches

Hope this helps!

Which of the binomials below is a factor of this trinomial?
5х2 - 5x - 100
А. х-4
ОВ. x+ 10
ос. x+5
OD. х- 5

Answers

Answer:  The correct answer is:   [D]:  " (x - 5) "

__________________________________________________

Step-by-step explanation:

__________________________________________________

First, let's try to "factor out" the given trinomial:

__________________________________________________

   "  5x² -  5x  - 100 " ;

__________________________________________________

We can "factor out" a "5" ;

since among the three (3) terms in this trinomial,

 We have:  5x² , 5x, and 100 ;

Note that not all of these 3 terms have a variable in them;

           → Consider the value;  "100" .

Note that the remaining two (2) terms have the same variable, "x" ;  

          →  5x² ; and 5x " ;

Note that each of these 2 (two) terms have a coefficient of "5" ;

Note that the other term, "100" ; is divisible "evenly"  by "5" ;

         → that is; when the term, "100", is divided by "5" ; the result is an integer;  {specially, " 100 ÷ 5 = 20 " .}.

__________________________________________________

So:  Let us being by "factoring out" a "5" ;

Given the trinomial:  " 5x² - 5x - 100 " ;

         →5(x² - 1x - 20) ;  or:  5(x² - x - 20) ;

 

       → At this point, although this trinomial express is not completely

"factored out" ;

__________________________________________________

Let us consider:  Do either of these two (2) factors appear among the answer choices given:

          1)  " 5" ;  or:  2)   "(x² - x - 20)" ??  No!

__________________________________________________

Let us continue.

We have:  5(x² - x - 20) ;  

       →  We can write as:  " 5 (x² - 1x - 20) "  ;

__________________________________________________

Now, let see if we can further "factor out" the:

       →  (x² - 1x - 20) ;

Now, note the " -20" ; and the " -1x " ;

       

      → What two (2) factors of:  "-20" ;  add up to "-1" ?  ;

__________________________________________________

Let us consider the factor of "-20" :

-20,  1 :  -20 + 1  = -19 ;  -19 =? -1 ?  No.

 20, -1 :  20 + (-1) = 20 - 1 = 19 ;  19 =? -1 ? No.

 10, -2 :  10  + (-2) = 10 - 2 = 8 ; 8  =? -1 ?  No.

-10,  2 :  -10 + 2 =  -8 ;  -8  =? -1 ?  No.

 -4, 5  :  - 4 + 5 = 5 + (-4) = 5 - 4 = 1 ;  1  =? -1 ?  No.

 4, -5  :   4 + (-5) = -5 + 4 = -1 ;  -1 =? -1 ?  Yes!

__________________________________________________

So,  we have +4  and -5 ;  

  (+4) * (-5) = -20 ;

  (+4) + (-5)  =  -5 + (+4) =  -5 + 4 = -1 ;

__________________________________________________

So, we factor out:

 →  (x² - 1x - 20) ;

that is:  " (x² - x - 20) " ;

into:

__________________________________________________

" (x + 4) (x - 5) " ;

and to factor out:  " 5x² - 5x - 100 " ;

we bring down the "5" ;  and write as:

 →  " 5 (x + 4) (x - 5) " ,

__________________________________________________

So:

We have three (3) factors when the trinomial expression is "factored out":  

 →  5 ;  (x + 4) ;  and:  (x - 5) ;

__________________________________________________

 → Among these three factors, the only one that appears as a given answer choice is:  

 →  " (x - 5) " ;

 →  which is our answer:

__________________________________________________

 →   Answer choice:  [D]:  " (x - 5) " .

__________________________________________________

Hope this answer is helpful to you!

      Best wishes!

__________________________________________________

translate “one less than the quotient of a number and -5”

Answers

(x/-5)-1

one less = -1

quotient= division

which expression is equivalent to 5x - 30?
A =. 5(x-30)
b =. 5( x-6)
c =. x(5 - 30

Answers

The answer is b because 5 times x is 5x and 5 times 6 is 30

Answer: I believe the answer is B

Step-by-step explanation:

Because 5 times x and then 5 times 6

That will give you 5x-30

Binh spent 15 game tokens in an amusement park arcade . She won 11 tokens while she was playing the games. If she had no tokens left when she leaves the arcade, how many did she buy while she was playing games? Explain your answer

Answers

Answer:she only buy 4 tokens

Step-by-step explanation:

We know that Binh have 15 tokens, and she won 11 tokens. So, she just need buy 4 tokens.

She buys 4 games tokens during playing games.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

Number of tokens she won = 11

Number of tokens she spent= 15

Number of tokens she buy = Number of tokens she spent - Number of tokens she won

Number of tokens she buy = 15 - 11 = 4

Hence "She buys 4 games tokens during playing games".

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Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.y=-2/5x+11/5

Answers

Answer:

y-intercept (0,11/5)

x-intercept (11/2,0)

Step-by-step explanation:

The y-intercept is obtained when the x-coordinate equals 0 (x=0)

so the y-intercept is (0,11/5)

The x-intercept is obtained when the y-coordinate equals 0 (y=0)

In this case

0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2

So the x-intercept is (11/2,0)

A pizza is advertised as containing 250 square inches of a pizza. To the nearest inch , what is the diameter of the pizza?

Answers

Final answer:

The diameter of a pizza with an area of 250 square inches is approximately 18 inches when calculated using the area formula for a circle and rounded to the nearest inch.

Explanation:

To find the diameter of a pizza given its area, we can use the formula for the area of a circle, A = πr², where A is the area and r is the radius of the circle. Given that the area is 250 square inches, we can solve for the radius and then find the diameter, which is twice the radius.

First, we rearrange the formula to solve for the radius: r = √(A/π). Plugging in the given area, we have r = √(250/π). Using π approximately equal to 3.14159, we find r ≈ √(250/3.14159) ≈ √(79.577) ≈ 8.92 inches. Therefore, the radius of the pizza is approximately 8.92 inches.

To find the diameter, we simply multiply the radius by 2: diameter = 2r ≈ 2(8.92) ≈ 17.84 inches. To the nearest inch, the diameter of the pizza is approximately 18 inches.


9. Is the relationship shown by the data linear? If so, model the
data with an equation.

Answers

Answer:

D

Step-by-step explanation:

Its C because as you can tell its not a negative , so D is incorrect the its not a because there is a relationship and c is incorrect because Y is less than X which is  2 more than X and that is how i got D

Which equation has no solution?

Answers

Answer: D

Step-by-step explanation: In order to have no solution, each side must have the same number of the variable. D works out to be 20+6x=6x+16

in your new home, you are planning to completely re-landscape the backyard. the yard is 18 feet long and 20 Feet Wide. a contractor has said that for labor and materials, the cost to re-landscape will be $7 per square foot. how much will the landscaping project cost?

Answer: The Project will Cost _____ Dollars​

Answers

Answer:

$2520

Step-by-step explanation:

18 times 20 = 360

360 time 7 = 2520

Final answer:

The total cost of the landscaping project for the backyard is found by multiplying the area of the backyard (360 square feet) by the cost per square foot ($7/square foot), which gives a total of $2520.

Explanation:

To find the cost of the landscaping project, we first need to calculate the area of the backyard. The area is found by multiplying the length and width of the space. So, the area of the backyard is 18 feet x 20 feet = 360 square feet.

Next, we know that the cost to re-landscape the yard is $7 per square foot. To find the total cost, we multiply the area of the yard by the cost per square foot. So, the total cost will be 360 square feet x $7/square foot = $2520.

Therefore, the total cost of the landscaping project for the backyard is $2520.

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A family deposited $8000 into an account six years ago. The account earned
simple interest at a yearly rate. So far the total interest earned is $1200. What is
the rate for the account?

Answers

Use I = prt

1200 = 8000r(1)

1200/8000 = r

0.15 = r

15% = r

For this you have to ask yourself:

$1200 is what percent of $8000

$1200/$8000 = x%
0.15 = x%
0.15 x100 = 15%

The rate for the account is 15%

Find two consecutive odd integers such that the sum of their squares is 34

Answers

Answer:

3 and 5

Step-by-step explanation:

use the guess and check method form the numbers 1, 3, 5 since only the square of these 3 numbers are under 34.

Final answer:

The two sets of consecutive odd integers whose squares sum to 34 are 3 and 5, and -5 and -3.

Explanation:

To identify the two consecutive odd integers whose squares sum up to 34, we'll first understand that consecutive odd integers can be represented as x, and x+2 (since every other integer is odd). The squares of these integers should equal 34.

This gives us the equation: x^2 + (x+2)^2 = 34. Simplifying this, we get: x^2 + x^2 + 4x + 4 = 34, 2x^2 + 4x - 30 = 0. This simplifies further to x^2 + 2x - 15 = 0. Factoring this equation gives us (x-3)(x+5) = 0. Therefore, the solutions are x = 3 and x = -5.

Therefore, the two pairs of consecutive odd integers that satisfy the conditions are 3 and 5 or -5 and -3.

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Can anyone please help me with this questions 2-51 “Plot triangle ABC with vertices A(0,0), B(3,4), and C(3,0) on graph paper. Using the origin as the point of dilation, enlarge it by...

Answers

Answer:My guess might not be correct, but here it is anyway: On the online math textbook, there's this thing called Homework help. Click on that where this problem and a graph show up on your screen. Click on the hint box, then you'll see an answer box below that. Add up the three side lengths, and you should have your answer. Then, you'll need to to look up on how to calculate an area and perimeter on a triangle. And that's it! Hope this helped Rosa.

Step-by-step explanation:

What’s number 9? I know the answer

Answers

Answer:

9?

Step-by-step explanation:

15-6=9 or 6+_=15 so 6+9=15 and your final answer is,9?

What is the domain of the function
f(x)= square root of (1/3)x+2?

Answers

Answer:

The domain of f(x) = √[(1/3)x +2] is [-6, ∞).

Step-by-step explanation:

GIven f(x) = √[(1/3)x +2], you have to find the values for which the the expression inseide the square will be possitive (for negative values the function is not defined for Reals.

(1/3)x + 2 = 0 ⇒ (1/3)x = -2 ⇒ x = -2/(1/3) ⇒ x = -6

Finally the domain of f(x) is (-6, ∞).

Answer:

✔️ X [tex]\geq[/tex] -6

Need it asap plz :).

Answers

Answer:

I have no idea what this is sorry bro

Step-by-step explanation:

Answer:

1.9 x 10^6

Step-by-step explanation:

2094800-158975=1935825

move the decimal over 1.9

count how many times 6

1.9 x 10^6

You pay $60 for 5 yoga classes. How much is one class?​

Answers

Answer: 12

Step-by-step explanation:

60 divided by 5 is 12.

Hope this helps!

Answer: $12

Step-by-step explanation:

60/5=12

(20 POINTS IF RIGHT)

Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

the 4th one

Step-by-step explanation:

x increase by 3 and y increase by 12.

ANSWER: the answer would be 4

Step-by-step explanation:

it is  (-3,12) (-6,24) (-9,36) i know because it is going by fours and you have a number you can multiply it by or divide it by

Find the missing factor.
6x2 + 13x - 5 = (3x - 1
)

Answers

Answer:

(2x+5)

Step-by-step explanation:

What is 848 -662 rounded the nearest hundred estimated

Answers

Answer: 200

it would be 200 becuase it would orignally be 186 and since it says "rounded the nerest hundred estimated" you would round up in this case and get 200

Good morning☕️

______

Answer:

200

___________________

Step-by-step explanation:

848 - 662 = 186

186 rounded to nearest hundred is 200.

:)

Jasmine has 3 3 /8 pounds of turkey meat. She is making 1/3 pound turkey burgers. Does Jasmine have enough meat to make 12 turkey burgers? Explain.

Answers

Answer: no

Step-by-step explanation:

She needs a little less than 4 pounds to make 12 turkey burgers because 1/3 times 12 is about 3.99 pounds. But she only has 3 3/8 pounds which is about 3.375 pounds.

Jasmine does not have enough meat to make 12 turkey burgers as she has 3.375 pounds of turkey while 4 pounds of turkey is needed.

What is Unitary method?

The unitary method involves the process of finding the value of a single unit and based on this value, we can find the value of the required number of units.

Given is a girl named jasmine who has 3 3/8 pounds of turkey meat. She is making 1/3 pound turkey burgers.

Now -

1 burger requires → 1/3 pounds of turkey

12 burgers will require → 12 x 1/3 → 4 pounds of turkey

Turkey available with Jasmine → 3 3/8 pounds →  3.375 pounds of turkey

Hence, Jasmine does not have enough meat to make 12 burgers.

Therefore, Jasmine does not have enough meat to make 12 turkey burgers as she has 3.375 pounds of turkey while 4 pounds of turkey is needed.

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Carol needs to buy 16
apples for apple bobbing. If
each bag contains 4 apples,
how many bags will she
need?

Answers

Answer:

She will buy 4 bags of apples, because every bag has 4 apples, and if you divide the number of apples she needs by the number of apples per bag, you will get 4. 16/4=4

Step-by-step explanation:

Remy has $14,000 to invest in two mutual funds. One fund pays interest at 4% per year and the other fund pays interest at 7% per year. How much should she invest in each fund if she wants to earn 6.1% interest on the total amount? Add commas where necessary.

Answers

$4,200 at 4%, $9,800 at 7%

The fund is 4200 dollars interest at 4% per year and the other fund is 9800 dollars interest at 7% per year.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

Remy has $14,000 to invest in two mutual funds.

Let the fund x dollars would be interest at 4% per year and

So the other fund is (14000 - x) dollars interest at 7% per year.

She invests in each fund if she wants to earn 6.1% interest on the total amount.

⇒ (4/100)x + (7/100)(14000 - x ) = (6.1/100)(14000)

⇒ 4x + 7(14000 - x ) = 6.1(14000)

⇒ 4x + 98000 - 7x = 85400

⇒ 3x = 12600

⇒ x = 12600/3

⇒ x = 4200

So the other fund = (14000 - 4200) = 9800

Hence, the fund is 4200 dollars interest at 4% per year and the other fund is 9800 dollars interest at 7% per year.

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A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. An adult ticket costs as much as the combined cost of a student ticket and a child ticket. you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23.

what are 3 system of equations?

what is the price per ticket for each type of ticket?

Answers

Answer:

The price per ticket for adults is $5

The price per ticket for students is $4

The price per ticket for child between the ages of 3 and 8  is $1

Step-by-step explanation:

Let

x -----> the price per ticket for adults

y -----> the price per ticket for students

z -----> the price per ticket for child between the ages of 3 and 8

we know that

The system of equations is

[tex]2x+y+z=15[/tex] ------> equation A

[tex]x=y+z[/tex] ------> equation B

[tex]x+4y+2z=23[/tex] -----> equation C

substitute equation B in equation A and solve for x

[tex]2x+(x)=15[/tex]

[tex]3x=15[/tex]

[tex]x=5[/tex]

Substitute the value of x in equation B and equation C

[tex]5=y+z[/tex] -----> equation B

[tex]5+4y+2z=23[/tex]

[tex]4y+2z=18[/tex] -----> equation C

Solve the system by graphing

Remember that the solution is the intersection point both graphs

Using a graphing tool

The solution is the point (1,4)

so

z=1, y=4

therefore

The price per ticket for adults is $5

The price per ticket for students is $4

The price per ticket for child between the ages of 3 and 8  is $1

After 2 days, the Johnsons had used
23 tanks of gas. How many tanks of gas
were they using per day?
tanks of gas​

Answers

Final answer:

The Johnsons were using 11.5 tanks of gas per day.

Explanation:

To find out how many tanks of gas the Johnsons were using per day, we need to divide the total tanks used by the number of days. Based on the information given, the Johnsons used 23 tanks in 2 days. So, the tanks of gas used per day can be calculated as:

23 tanks / 2 days = 11.5 tanks of gas per day

Some students prepare 3 different snacks. They make 1/8 pound bags of nut mix, 1/4 pound bags of cherries, and 1/6 pound bags of dried fruit. If they buy 3 pounds of nut mix, 5 pounds of cherries, and 4 pounds of dried fruit, how many of each type of snack bag will they be able to make?

Answers

Answer:

24 bags, 20 bags and 24 bags

Step-by-step explanation:

Students made a bag of nut mix by using = [tex]\frac{1}{8}[/tex] pound

They bought nut mix = 3 pounds

they will be able to make number of nut mix bags = [tex]\frac{3}{\frac{1}{8} }[/tex]

                                                                      = [tex]\frac{3\times 8}{1}[/tex]

                                                                      = 24 bags

Students made a bag of cherries by using = [tex]\frac{1}{4}[/tex] pound

They bought cherries = 5 pounds

they will be able to make number of cherries bags = [tex]\frac{5}{\frac{1}{4} }[/tex]

                                                                      = [tex]\frac{5\times 4}{1}[/tex]

                                                                      = 20 bags

Students make a bag of dried fruit by using = [tex]\frac{1}{6}[/tex] pound

They bought dried fruit = 4 pounds

they will be able to make number of dried fruit bags = [tex]\frac{4}{\frac{1}{6} }[/tex]

                                                                      = [tex]\frac{4\times 6}{1}[/tex]

                                                                      = 24 bags

Students would be able to make 24 bags of nut mix, 20 bags of cherries and 24 bags of dried fruit.

The students would be able to make 24 sacks of nut mix, 20 sacks of cherries and 24 sacks of dried fruit.

Equation

An equation is an expression that shows the relationship between two or more variables and numbers.

For 3 pounds of nut mix:

Number of snack bag = 3 pounds / (1/8 pound) = 24 sacks

For 5 pounds of cherries:

Number of snack bag = 5 pounds / (1/4 pound) = 20 sacks

For 4 pounds of dried fruit:

Number of snack bag = 4 pounds / (1/6 pound) = 24 sacks

The students would be able to make 24 sacks of nut mix, 20 sacks of cherries and 24 sacks of dried fruit.

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Daryl used a ruler to measure the distance between two cities on a map with a scale of 1 inch to 40 miles. He reported the actual distance between the two cities as 200 miles, with a measurement error of 10 miles. What is the smallest increment on the ruler Daryl used?

A. 0.25 in.
B. 0.5 in.
C. 0.75 in.
D. 1 in.

Answers

Hey!

-------------------------------------------------

We Know That:

1 inch = 40 miles

200 / 4 = 5

200mi. = 5 x 40mi. (5 x 1mi on scale)

-------------------------------------------------

Solution:

40 / 4 = 10 (not to scale)

1 / 4 = 0.25 (error to scale)

If the scale is 0.25 then it's half way while rounding.

-------------------------------------------------

Answer:

[tex]\large\boxed{B.~0.5~in.}[/tex]

-------------------------------------------------

Hope This Helped! Good Luck!

Answer: Is not A. Its B.

Step-by-step explanation:

I chose A and it is wrong. I would choose B.

400 * 0.5 = 200

400 * 0.25 = 100

Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:


A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure ABCD has A at ordered pair negative 4, negative 2, B at negative 2, negative 3, C at negative 3, negative 4, D at negative 4, negative 4. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 2, A prime at 2, 3, C prime at 3, 4, D prime at 4, 4.


Which statement best compares the lengths of the sides of the two figures?


Length of AB = Length of C′D′

Length of CD = Length of A′B′

Length of CD = Length of B′C′

Length of AB = Length of A′B′

Answers

Answer:

Length of AB=Length of A'B' because they are corresponding sides.

you should definetely mark me brainliest ;)

Answer: Length of AB = Length of A′B′

Step-by-step explanation:

Given : Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′.

We know that a rotation is a rigid motion which does not changes shape and size of the figure.

It means the corresponding side lengths are equal.

Thus , if  Figure ABCD is rotated to form A′B′C′D′, then the corresponding sides of both of them are equal.

i.e. Length of AB = Length of A′B′

Length of BC = Length of B′C′

Length of CD = Length of C′D′

Length of DA = Length of D′A′

Hence, the statement best compares the lengths of the sides of the two figures :  Length of AB = Length of A′B′

Frostburg truth bus travels on a straight road from Frostburg mall to Sojourner Truth park the mall is 2 miles east and 5 miles north of the city center the park is 5 miles west and 5 miles south of the center how far is it from the mall to the park to the nearest 10th of a mile

Answers

Answer:

10 miles long i do believe

The distance from the mall to the park is approximately 12.2 miles to the nearest tenth of a mile.

To find the distance from the mall to the park, we can use the Pythagorean theorem since the path forms a right triangle. The legs of the triangle are the distances from the mall to the city center (2 miles east and 5 miles north) and from the park to the city center (5 miles west and 5 miles south).

Let's denote the distance from the mall to the park as d. Then, we can set up the equation:

[tex]\[ (2 + 5)^2 + (5 + 5)^2 = d^2 \][/tex]

Solving this equation:

[tex]\[ (7)^2 + (10)^2 = d^2 \]\[ 49 + 100 = d^2 \][/tex]

[tex]\[ 149 = d^2 \][/tex]

Now, we take the square root of both sides to find d:

[tex]\[ d = \sqrt{149} \][/tex]

Using a calculator, we find:

[tex]\[ d \approx 12.2 \][/tex]

Other Questions
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