The length of the base of an isosceles triangle is x. The length of a leg is 5x – 3. The perimeter of the triangle is 60. Find x.
X

Answers

Answer 1

Answer:  x = 6

Step-by-step explanation:

The perimeter of the isosceles triangle = 2 leg + base

Since the perimeter = 60

then 60 = 2(5x - 3) + x

       60 = 10x - 6 + x

 60 + 6 = 11x

         6 = x

         

Answer 2
Answer: x = 6

Step-by-step Explanation:

The legs are both the same so 2(5x - 3) accounts for both. Then add x and simplify.

10x - 6 + x

11x - 6

Set equal to 60

11x - 6 = 60

11x = 66

x = 6

Related Questions

A truss or staircase frame from the custom steel products cost $2.25 for each rod plus $50for shipping and handling

Answers

The equation that can be used to represent the cost paid for the staircase frame is 50 + 2.25x

Based on the information given, let the number of rods be represented by x.

Fixed cost = $50

Variable cost = $2.25 × x = 2.25x

Therefore, the equation to calculate the total cost will be:

= Fixed cost + Variable cost

= 50 + 2.25x

Therefore, the equation to represent the fact that the staircase frame cost $2.25 for each rod plus $50 for shipping and handling is 50 + 2.25x

Read related link on:

https://brainly.com/question/25219532

I NEED HELP FAST PLEASE!!!!!!!!!!!!

Smith was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 850 points. The number of​ two-point field goals that Lindsey made was 57 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 41 less than the number of​ two-point field goals she made. Find how many free​ throws, two-point field​ goals, and​ three-point field goals Lindsey Smith made during the 2006 regular season.

Answers

Answer:

the answer of this question is 4000

Step-by-step explanation:

it's because if u add it up you will get the answer hope this helps

Under his cell phone plan, Brandon pays a flat cost of $61 per month and $4 per
gigabyte. He wants to keep his bill under $75 per month. Write and solve an
inequality which can be used to determine g, the number of gigabytes Brandon can
use while staying within his budget.
Inequality:
g=

Answers

Answer:

61 + 4x = 75

Step-by-step explanation:

75 - 61 = 14

14 / 4 = 3.5

He can only use 3 gigabytes.

Answer:

[tex]61 + 4g < 75 \\ 4g < 75 - 61 \\ 4g < 14 \\ g < 3.5[/tex]

The answer is g is less than 3.5 GB per month

A boutique sold $127.50 worth of purses. How many purses did they sell?
$7.50

Answers

Answer:

They sold 17 purses

Step-by-step explanation:

Identify the relationship between the pair of angles y and v PLZZZZ THANK YOUUUU

Answers

Answer:

Q1. angle x + angle y = 180°

Q2. angle x = angle y

What should I write ?

Answers

Answer:

It is true because 3/6 is that smallest fraction or "simplest form" of 6/12

Step-by-step explanation:

6/12 does simplify to 3/6 because if you divide 2 by 6 and 12 you’ll get 3 and 6, and you cannot simplify 3/6 further.

What is the measure of the supplement of each angle 117º

Answers

Answer:

The supplementary angle of 117° :

= 180° – 117°

= 63°

Help ASAP giving brainliest

Answers

Answer:

X >= 1

Step-by-step explanation:

Answer:

x>=1

Step-by-step explanation:

I will give you a simple definition for Closed and Open number lines.

Closed circles in this number line mean INCLUDING 1 and everything greater so X>=1, or row 2 column 1.

A chemist has two solutions of HNO3. One has a 40% concentration and the other has a 25% concentration.
How many liters of each solution must be mixed to obtain 57 liters of a 26% solution?

Answers

Step-by-step explanation:

Let +a+ = liters of 40% solution needed

Let +b+ = liters of 25% solution needed

+.4a+ = liters of HN03 in 40% solution

+.25b+ = liters of HN03 in 25% solution

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

(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+

(2) +a+%2B+b+=+57+

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

(1) +.4a+%2B+.25b+=+.26%2A57+

(1) +.4a+%2B+.25b+=+14.82+

(1) +40a+%2B+25b+=+1482+

Multiply both sides of (2) by +25+

and subtract (2) from (1)

(1) +40a+%2B+25b+=+1482+

(2) +-25a+-+25b+=+-1425+

+15a+=+57+

+a+=+3.8+

and, since

(2) +a+%2B+b+=+57+

(2) +3.8+%2B+b+=+57+

(2) +b+=+53.2+

3.8 liters of 40% solution are needed

53.2 liters of 25% solution are needed

check:

(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+

(1) +%28+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+

(1) +%28+1.52+%2B+13.3+%29+%2F+57+=+.26+

(1) +14.82+=+.26%2A57+

(1) +14.82+=+14.82+

think you should got the answer

which is bigger 0.8253 or 0.82?
will give brainliest!!!​

Answers

Answer:

0.8253

Step-by-step explanation:

because there are numbers after, 0.8253 is bigger. 0.82 doesn't have any numbers after to make it slightly bigger.

Solve.
Ms. Holmstrom set up a math problem to find out how much money her class spends for lunches at the cafeteria for over a 2-day period. On Monday, 14 students bought lunches in the cafeteria, and 16 students bought lunches on Thursday. If lunches cost $2.50 each, how much money has Ms. Holmstrom's class spent?

Answers

Answer:

They have spent $75

16+14 = 30

30 x 2.50 = 75

Step-by-step explanation:

witch equation represents a direct proportion?

Answers

Answer:

y=kx

Step-by-step explanation:

Can someone pleas help me with this

Answers

The answer will most likely be DNE(does not exist) because negative numbers do not have real square roots. If you are looking for an answer with imaginary numbers just reply to this answer.


1. The ratio of red marbles to blue marbles
in a bag is 2 to 5. If there are 60 more
blue marbles than red marbles in the
bag, how many marbles are there all
together?

Answers

Answer:

84

Step-by-step explanation:

Cross multiply to solve for the red marbles

Let x = the number of red marbles

2/5 = x/60

Cross multiply

2(60)/5 = x

x = 24 which is the number of red marbles.

60 blue plus 24 red = 84 total marbles.

Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9 for the second and third​ digits, but the last two digits cannot both be 1​ (to avoid confusion with area codes such as​ 911). How many different area codes are possible with these​ rules? That same rule applies to the exchange​ numbers, which are the three digits immediately preceding the last four digits of a phone number. Given both of those​ rules, how many​ 10-digit phone numbers are​ possible? Given that these rules apply to the United States and Canada and a few​ islands, are there enough possible phone​ numbers? (Assume that the combined population is about​ 400,000,000.)

Answers

Using the fundamental counting theorem, we have that:

648 different area codes are possible with this rule.There are 6,480,000,000 possible 10-digit phone numbers.The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.

For the area code:

8 options for the first digit.9 options for the second and third.

Thus:

[tex]8 \times 9 \times 9 = 648[/tex]

648 different area codes are possible with this rule.

For the number of 10-digit phone numbers:

7 digits, each with 10 options.648 different area codes.

Then

[tex]648 \times 10^7 = 6,480,000,000 [/tex]

There are 6,480,000,000 possible 10-digit phone numbers.

The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

A similar problem is given at https://brainly.com/question/24067651

Answer: Number of possible area codes: 792

Amount of​ 10-digit phone numbers: 6,273,640,000

Step-by-step explanation:

Which of the following lists of values contain rational numbers only?

Group of answer choices

90, -1.375 , π


−81−−−√,7√7√,4.16


28−−√,0,313


639,116−−√,50−−√

Answers

Answer:

90, -1.375 , π

Step-by-step explanation:

could someone please help answer this, no spam please, will give brainliest thank you!, (homework help)

Answers

Answer:

The answer would be B < - 1

En tu cuaderno resuelve las multiplicaciones usando el procedimientos diferentes en cada caso describe en qué consiste

Answers

Answer:

dos

Step-by-step explanation:

Ethan, Caleb, and Jayden went to a bakery to buy desserts. Ethan bought 2 cupcakes, 2
brownies and a pie for $20. Caleb bought 4 cupcakes, 4 brownies and a pie for $44, Jayden
bought 5 cupcakes and 6 brownies for $40. Write a system of equations to represent is
situation. Convert the system to a matrix and find the cost of 1 cupcake, 1 brownie, and 1
pie to the nearest cent.

Answers

Answer:

x = 32

y = -20 and

z = -4

Step-by-step explanation:

Cupcakes = X

Brownies = Y

Pies = Z

Ethan = 2x+2y+z = 20

Caleb = 4x+4y+z = 44

Jayden = 5x+6y = 40

-1(2x+2y+z=20) =

(-2x - 2y - z = -40) + (4x+4y+z=44)

= 5x + 6y = 40

-3(2x+2y=24 =

(-6 - 6y = -72) + (5x + 6y = 40)

= - x = - 32

= x = 32

5 (32) + 6y = 40

= 160 + 6y = 40

6y = 40 - 160

y = 120/6

y = - 20

2(32) + 2(-20) + z = 20

64 - 40 + z = 20

z = 20 - 24

z = -4

simplify. 5 - 8 ÷ 2 + 4​

Answers

Answer:

5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

5 - 8 ÷ 2 + 4

Step 2: Simplify

Division:                                                                                                            5 - 4 + 4Subtract:                                                                                                            1 + 4Add:                                                                                                                   5

PLS HELP WILL MARK AS BRAINLIEST

Answers

Answer:

26. the y intercept is -6

27. the y intercept is 2

28. the y intercept is -3

29. I cant answer because it is cut off in the picture...

Step-by-step explanation:

These equations follow a simple formula- the slope formula

y=mx+b

In this formula:

b is the y intercept

m is the slope that is multiplied by x

hope this helps:)

please crown me brainliest!!!

what is the answer to -3x + 6 = 2x - 24

Answers

Given

-3x + 6 = 2x - 24

To Find

Value of 'x' term

Solution

[tex] -3x + 6 = 2x - 24 [/tex]

[Bringing 2x to left side and 6 to right side]

[tex] = > - 3x - 2x = - 24 - 6 \\ \\ = > - 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{ - 5} \\ \\ = > x = 6[/tex]

[tex] \fbox \red{Hope This Helps}[/tex]

The highest common factor (HCF) of two numbers is 6.
The lowest common multiple (LCM) of the same numbers is 60

What are the two numbers?
Please explain every step

Answers

Answer:

12 and 30

Step-by-step explanation:

HCF = 6 = 2×3 means they both have in common a factor of 2 and a factor of 3, but at least one of the numbers has no more than one of each of these factors.

LCM= 60=2²×3×5 means That the combined product of their factors counting only once the ones they have in common is 60.

so they could be 2×2×3 = 12 and 2×3×5 = 30

Your friend calculates the distance between points​ Q(1,5) and​ R(3,8), as shown below. What is his​ error?

Answers

The distance between two points is the number of units between them.

The distance between Q and R is 3.61 units

It is impossible to determine your friend's error, because the steps are not given in the question. So, I will calculate the distance between Q and R, instead.

The distance (d) between two points is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, the distance QR is:

[tex]QR = \sqrt{(1 - 3)^2 + (5 - 8)^2}[/tex]

[tex]QR = \sqrt{(- 2)^2 + (- 3)^2}[/tex]

Evaluate exponents

[tex]QR = \sqrt{4 +9}[/tex]

[tex]QR = \sqrt{13}[/tex]

Take square root of 13

[tex]QR = 3.61[/tex]

Hence, the distance between Q and R is 3.61 units

Read more about distance at:

https://brainly.com/question/16310813

Can anyone solve this???​

Answers

Answer:

4

Step-by-step explanation:

dmndndndndndnndndnndndnndndndnxmxn que la vida

A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?

Answers

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}[/tex]

Therefore, the slope (m ) = 10/9.

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b ). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

show work pleasee 15 points

Answers

Answer:

It's D; 32 ounces, because you get more for the price.

Answer:

A. 10 oz

Step by step explanation:

The question asks which one has the lowest unit price. The key word is unit, not just what is shown on the chart. You have to divide the price by the number of ounces to get the price for one ounce(unit). Then you look at all the prices and whichever one is the lowest is the answer. These are the unti prices after you divide the price by the number of oz

A=0.079

B=0.086

C=0.120

D=0.0996875

whats the 147th letter in this pattern abcd,abcd,abcd,abcd,abcd…
Explain and show your work

Answers

Answer:

the answer is abcdefgh because of that it explains the and

Answer: abcdefgh

Hope this helps

For Exercises 8 and 9, find the lengths of all three sides of the triangle.

Answers

9514 1404 393

Answer:

  8. GH = 49; HJ = 35; JG = 35

  9. KL = 26, LM = 26, MK = 20

Step-by-step explanation:

8. The sides opposite the marked angles are congruent.

  JG = JH

  3x +8 = 35

  3x = 27 . . . . . . . subtract 8

  x = 9 . . . . . . . divide by 3

We already know JG and JH, so we only need to find GH:

  GH = 6x -5 = 6(9) -5 = 54 -5 = 49

Then the side lengths are ...

  GH = 49, HJ = 35, JG = 35

__

9. This, too, is an isosceles triangle.

  LK = LM

  26 = 2y+8

  18 = 2y . . . . . . . subtract 8

  y = 9 . . . . . . . divide by 2

  KM = 3(9) -7 = 27 -7 = 20

Then the side lengths are ...

  KL = 26, LM = 26, MK = 20

Write the equation for the line passes through (6, -2) and (-3, 1).
*You must show all your work to get credit.
PLS HELP DUE IN 10 min

Answers

Answer: y= -3x + 16

Step-by-step explanation:

I'm assuming that you mean a linear equation

So the first thing that you want to do is find the slope for the line.

1-(-2) / -3 - 6= -9/3= -3

Now that you have the slope you can pick one of the points to plug in.

-2 = -3(6) + b

We don't know what the y intercept is so we'll need to solve for that.

-2= -18 + b

add -18 to -2

16=b

so your equation will be

y= -3x + 16

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