The sides of a triangle in cm, are , x , 2x – 5 and 2x – 3 . The perimeter of the triangle is 32 cm . i) Write down an equation for x

Answers

Answer 1

9514 1404 393

Answer:

  32 = (x) +(2x -5) +(2x -3)

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  P = a + b + c

  32 = (x) +(2x -5) +(2x -3)

__

This can be simplified to ...

  32 = 5x -8

and solved to find x:

  x = (32 +8)/5 = 8


Related Questions

the question is:

Jeremy is taking a non- calculator quiz in his algebra 1 class. He decided that the equation below had a value of 1.5. Jeremy has the correct value. EXPLAIN how he found this without the use of his calculator.

the equation: 2^-1+5^0

Answers

Answer:

That's very simple 2^–1 is equal to 1/2 and 5^0 is equal to 1. Then add this two. 1/2+1 is equal to 1.5.

plz rate me brainiest

If line a and b are parallel, what is the value of x?
Please help me

Answers

60
due to alternate interiors the angle supplementary to x is 120
120 + x = 180
x = 60

Work out the following and give your answer in it's simplest form:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{3}{5}[/tex]
Plz help!!

Answers

Answer:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{3}{5}[/tex]

=3/5

=1.5

here's your answer!! hopefully it's readable! have a great day :)

pls help!!
what would the answer be when rounded to one significant figure.​

Answers

2.3^2+4.1^2= 22.1
That should be right my bad if it’s not

Jennifer makes 13 apple pies using 338 apples. Mateo used 9 apple pies using 216 apples. If they each have 105 apples, will Mateo And Jennifer make the same amount of apple pies ?

Answers

Answer: Yes. They'll both make 4 apple pies.

Step-by-step explanation:

Jennifer makes 13 apple pies using 338 apples. The fraction of apple pies made based on the number of apples will be:

= 13 / 338

= 0.03485

Mateo used 9 apple pies using 216 apples. The fraction of apple pies made based on the number of apples will be:

= 9 / 216

= 0.0417

When they each have 105 apples, the number of apple pies that Mateo will make will be:

= 0.03485 × 105

= 3.65925

= 4 apple pie approximately

Jennifer will make:

= 0.0417 × 105

= 4.3785

= 4 apple pie approximately

Find the slope of the line graphed below.
-

Answers

Step-by-step explanation:

1st point=(-2,2)x1=-2,y1=2

2nd point=(3,-2)x2=3,y2=-2

slope=y2-y1/x2-x1

According to the question,

slope=-2-2/3-(-2)=-4/5

need help with this thanks

Answers

Answer:

15.51

Step-by-step explanation:

Answer:

15.51

Step-by-step explanation:

The calculator is $49.50.

The radio is $114.99.

First, we add them together.

49.50+114.99 = 164.49

that is the total cost of both the radio and calculator.

Next, we subrtact  180.00-164.49= 15.51.

solve each system by substitution​

Answers

Answer:

x=2,y=5

Step-by-step explanation:

y=8x-11 ----(1)

y=-7x+19----(2)

Replace (1) in (2)

8x-11 =-7x+19

8x+7x=19+11

15x =30

x =30÷2

x =2

If x=2,then replace x=2 in (1)

y=8(2)-11

y=16-11

y=5

A relation is given below.
{(0, 0), (2, 0.5), (4, 1), (3, 1,5), (4, 2), (5, 1.5), (6, 8)}
Which ordered pair can be removed to make this relation a function?
Why would removing this ordered pair make the relation a function?

Answers

(4,1) can be taken out.

The input and output values cannot be the same.

Hope this helps!

Suppose you invest $2000 at a rate of 3.25% continuously, determine the worth of the investment after 10 years.

Answers

Answer:

$2650

Step-by-step explanation:

= 2000 × 0.0325 × 10 = 650

= $ 650.00

solve the following equation when x = 8
15x - 2 =

Answers

Answer:

118

Step-by-step explanation:

15(8)-2

120-2

118

Brainly plss?

Answer:

118

Step-by-step explanation:

you do 15 x 8 then subtract 2 from the product


Write an equation in slope-intercept form
(y = mx + b) of the line that is
perpendicular to the graph of 4x + 8y = 5
and passes through (3,9).

Answers

the answer is y=-1/2x + 5/8

A sequence is recursively defined as a(n)=2a(n-2) for values of n>2. Find the seventh term of the sequence if a(1)=0 and a(2)=1

Answers

Answer:

a(7) = 21

Step-by-step explanation:

Using the recursive formula and a(1) = 0, a(2) = 1 , then

a(3) = a(2) + 2a(1) = 1 + 2(0) = 1 + 0 = 1

a(4) = a(3) + 2a(2) = 1 + 2(1) = 1 + 2 = 3

a(5) = a(4) + 2a(3) = 3 + 2(1) = 3 + 2 = 5

a(6) = a(5) + 2a(4) = 5 + 2(3) = 5 + 6 = 11

a(7) = a(6) + 2a(5) = 11 + 2(5) = 11 + 10 = 21

28,46,25,76,18,25,47,83,44 what's the median,first quartile,third quartile, and interquartile range

Answers

Answer:

median: 44

first quartile: 25

third quartile: 61.5

interquartile range: 36.5

Step-by-step explanation:

For the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.

What is the interquartile range?

The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.

Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1

The given date set is 28,46,25,76,18,25,47,83,44.

The data in order 18,25,25,28,44,46,47,76,83.

Here,

Median =44

First quartile=Q₁=25

Third quartile=Q₃= (47+76)/2

= 61.5

Now, interquartile range (IQR)

= Q₃-Q₁

= 61.5-25

= 36.5

Therefore, for the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.

Learn more about the interquartile range here:

https://brainly.com/question/4135956.

#SPJ5

Which spinner could not be used to simulate a baby being born male or female. a spinner 2 equal section. A spinner with 3 equal sections. a spinner with 6 equal sections. A spinner with 10 equal sections

Answers

never gonna give you up

Answer:

C spinner with 7 equal sides

Step-by-step explanation:

Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^\circ∘ Fahrenheit. If the weather forecaster says it will be 30LaTeX: ^\circ∘ Celsius today, write and solve a linear equation to find what Fahrenheit temperature this is.

Answers

Answer:

[tex]F = 1.8C +32[/tex]

[tex]F = 86^{\circ}F[/tex]

Step-by-step explanation:

Represent Celsius with C and Fahrenheit with F.

So, we have:

[tex](C_1,F_1) = (100,212)[/tex]

[tex](C_2,F_2) = (0,32)[/tex]

Solving (a): Represent as a linear equation

First, we calculate the slope:

[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]

This gives:

[tex]m = \frac{32 - 212}{0 - 100}[/tex]

[tex]m = \frac{-180}{- 100}[/tex]

[tex]m = 1.8[/tex]

The linear equation is then calculated using:

[tex]F - F_1 = m(C -C_1)[/tex]

Where

[tex](C_1,F_1) = (100,212)[/tex]

[tex]m = 1.8[/tex]

[tex]F - 212 = 1.8(C -100)[/tex]

[tex]F - 212 = 1.8C -180[/tex]

Make F the subject

[tex]F = 1.8C -180+212[/tex]

[tex]F = 1.8C +32[/tex]

Solving (b): The value of F when C = 30

Substitute 30 for C in [tex]F = 1.8C +32[/tex]

[tex]F = 1.8 * 30 + 32[/tex]

[tex]F = 54 + 32[/tex]

[tex]F = 86[/tex]

Answer:

person above me is wrong

Mateo found a sale on skateboards.The skateboard he would like to purchase is 179.99. The sales tax is 6.5%. How much will Mateo spend in all after the discount and tax are applied?

Answers

Answer:

$191.69

Step-by-step explanation:

0.065 x 179.99 = 11.70

179.99 +11.70

0.10( y-7)+0.02y=0.20y-0.4 it has to be an integer or decimal ergent!

Answers

9514 1404 393

Answer:

  y = -3.75

Step-by-step explanation:

Solving equations with decimal fractions is done the same way as with numbers in any other form. Use your skill with decimal number arithmetic.

  0.10(y -7) +0.02y = 0.20y -0.4

  0.10y -0.70 +0.02y = 0.20y -0.40

  -0.30 +0.12y = 0.20y . . . . . . . . add 0.40 and collect terms

  -0.30 = 0.08y . . . . . . . . . . . . . . subtract 0.12y

  -0.30/0.08 = y = -3.75 . . . . . . .divide by the coefficient of y

you should give them a brainliest! hope you have a good day

2x² + 3 × (-x²) + 6x + 2

Answers

Answer:

1x²+5 x 6x

Step-by-step explanation:

3(2x+5)-x=__x+__
put 2 numbers in the blanks to make no solutions ​

Answers

Answer:

5x + 15

Step-by-step explanation:

3(2x + 5)-x

6x + 15 - x

5x + 15

Hope this Helps!!!

Help a girl out this is 9th grade math is really appreciate it

Answers

Answer:

Yes (2,7) Is A solution of the system

Step-by-step explanation:

heeeeeeeeeeelp pleaseeeeeeeeeeee

Answers

Answer

<2 = <4 = <6 = <8

All of those are 94 degrees

<1 = <3 = <5 + <7

All of those are 86 degrees

Hope this helps :D

2x+3y=6 and 2x+y=-2 solved by elimination

Answers

The two lines intersect at (-3,4)
-2/3X+2= -2X-2

Add 2X to both sides
Subtract 2 from both sides
Divide both sides by 4/3
You get X=-3
Plug in 3 to one of the equations and you’ll see that y= 4

Find the missing side length

Answers

Option c hope this helps

8. GradPoint question
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?


A. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.

B. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.

C. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.

D. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.

Answers

Answer:

I'm sorry but I have no clue. Actually I think it's C.

Step-by-step explanation:

Samantha makes a conjecture that the product of two odd integers is always an odd integer. Which choice is the best proof of her conjecture? CLEAR CHECK Look at these different examples: 7 × 3 = 21, 5 × 9 = 45, 11 × 3 = 33. So the product of two odd numbers must be odd. Every time you multiply two odd numbers, the product is an odd number. Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number. Let a and b both represent odd numbers, and let a × b be an odd number. Therefore, a × b = b × a, which shows that the product of two odd numbers is odd.

Answers

Answer:

Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number.

Step-by-step explanation:

Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of water remain in the tank after 30 seconds?​

Answers

Answer:

78.75 ?

Step-by-step explanation:

calculator..

The volume of water remain in the tank after 30 seconds is 78.75 liters.

The given parameters;

initial volume of water in Tank B, V₀ = 80 litersrate at which water is being drained, R = 2.5 liters per minute.time of water drain, t = 30 seconds

The amount of water drained after 30 seconds is calculated as follows;

[tex]V_1 =2.5 \ \frac{liters}{\min} \times \frac{1 \min}{60 \ s} \times 30 \ s\\\\V_1 = 1.25 \ liters[/tex]

The volume of water remain in the tank after 30 seconds is calculated as follows;

V₂ = V₀ - V₁

V₂ = 80 liters - 1.25 liters

V₂ = 78.75 liters

Thus, the volume of water remain in the tank after 30 seconds is 78.75 liters.

Learn more here: https://brainly.com/question/13559135

Find the volume of a cylinder with a radius of 3 inches and a height of 2

Answers

Answer:

56.55m³

Step-by-step explanation:

use a calculator, not brainly

A store advertises 15% off an item that regularly sells for $300

what is the price of the item?

Answers

The item would sell for $255 if it had a 15 percent discount

For this problem, we're finding the percent of 300. To do that we:

1. Multiply 300 by 15.

300 x 15 = 4500

2. Divide 4500 by 100. (% = 100)

4500 / 100 = 45

Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.

300 - 45 = 255

Now, our answer is 255 and the unit price is 45.

Let me know of any questions!

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

Answers

Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)

Answer:

[tex]\frac{dx}{dt}=11.94m/min[/tex]

Step-by-step explanation:

From the question we are told that

Slant height [tex]z=29m[/tex]

Change in Vertical height  [tex]\triangle y=7m/s[/tex]

Horizontal length [tex]x=21[/tex]

Generally in finding the distance form the  top to the bottom of the wall it is mathematically given by

 [tex]x^2+y^2=z^2[/tex]

 [tex]21^2+y^2=29^2[/tex]

 [tex]y^2=29^2+21^2[/tex]

 [tex]y=35.81[/tex]

Generally solving for the differential equation is mathematically represented as

 [tex]x^2+y^2=29^2[/tex]

 [tex]2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0[/tex]

 [tex]x*\frac{dx}{dt} +y*\frac{dy}{dt} =0[/tex]

 [tex](21)*\frac{dx}{dt} +(35.81)*(-7) =0[/tex]

 [tex](21)*\frac{dx}{dt} -250.64 =0[/tex]

 [tex]\frac{dx}{dt}=\frac{250.64}{21}[/tex]

 [tex]\frac{dx}{dt}=11.94m/min[/tex]

The rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute.

Let us consider that distance between the top of the ladder and the ground is x meter and distance between the bottom of the ladder and the wall is y meter.

So, A right angle triangle is formed.

Since, the bottom of the ladder is 21 meters from the wall.

So,    [tex]y=21[/tex]

Applying Pythagoras theorem,

                         [tex]x^{2} +y^{2}=(29)^{2} \\\\x^{2} +(21)^{2}=(29)^{2} \\\\\\x^{2} =841-441=400\\\\x=\sqrt{400} =20[/tex]

Given that,   the distance between the top of the ladder and the ground is decreasing at 7 meters per minute.

                           [tex]\frac{dx}{dt}=-7meter/min[/tex]

Differentiate below equation with respect to time.

                     [tex]x^{2} +y^{2}=(29)^{2} \\\\2x\frac{dx}{dt}+2y\frac{dy}{dt}=0 \\\\2(20)(-7)+2(21)\frac{dy}{dt}=0\\\\\frac{dy}{dt}=\frac{280}{42}=6.67meter/min.[/tex]

Thus, the rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute.

Learn more about Differentiation here:

https://brainly.com/question/14023950

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