A triangle has a perimeter of 13x-21 units. One side is 4x+3 units. The other side is 5x-8 units. Write an expression to find the missing side.

Answers

Answer 1

Answer:

4x - 16

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

the perimeter of a triangle = sum of the side lengths

let the unknown length be represented with y

13x  - 21 = 4x + 3 + 5x - 8 + y

13x- 21 = 9x - 5 + y

Make y the subject of the formula

13x - 21 - 9x + 5 = y

4x - 16 = y

the side length = 4x - 16


Related Questions

Hi could can you please tell me the answer and tell me how you got it so I can understand this? Both 6 A and B

Answers

Answer:

you would do 16000 - 13920 and get 12080 and then dive 12080 by 16000 giving you .755 that would be how much is full and then subtract 1 and .755 to get B

There are 4 red golf balls and 2 green golf balls in a bucket. You select a ball at random, keep it, and select again. Find the probability.
P(both green) HELP I NEED ANSWERS

Answers

Answer:

4/2

Step-by-step explanation:

what is 40% off of $400.00

Answers

40% off of $400 is 240

Answer:

$240

To find 40% of $400:

40% (or .4) • $400 = $160

**$160 is 40% of 400**

To find 40% **OFF** of $400:

$400 - $160 = $240

My father invests $5000 in a new bank that has an annual
interest rate of 3.8%. Find the balance
after 10 years if it is compounded yearly. Round your answer to
the nearest whole dollar.
$

Answers

$6900

$5000+3.8%=$5190

$190x10=$1900

$5000+$1900=$6900

Need help i will give anybody brainest!!!!!! due in 30 minutes

Answers

Answer:

2/3

Step-by-step explanation:

hope you help make me brainist

a triangular prism has bases that are 3 inches tall and 8 inches wide the remaining two sides of each triangular base are 5 inches long, and the distance between the bases of the prism is 12 inches. What is the total surface area?

Answers

Answer:

there are 16 inches of bases

If each of the cubes in a Rubik's Cube represented 1 cubic inch, what would be the volume of the Rubik's Cube?

Answers

Answer:

The volume of the Rubik's Cube is 27 in^3

Step-by-step explanation:

Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.

We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.

Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.

Now we know that each one of these small cubes has a volume of 1 in^3

Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:

V = 27*( 1 in^3) = 27 in^3

Solve the following quadratic by using square root property. x2 + 16 = 0

A. X= 16 , x= -16


B x = 4, x= -4


C x= 4i , x= -4i

Answers

correct answer is C 16 will be neg under radical and gives an i

1. Find the present value of an investment that is worth $19,513.75 after

earning 3% simple interest for 5 & 1/2 (5.5) years.

2. Mr. Clopu buys an 18-month CD that pays 4 3/4% simple interest for $5,000. Find the value of the CD at the end of its term.

Answers

1) To get the present value, we need to get the amount after 5.5years

Amount = Principal + Interest

Interest = PRT/100

Interest = $19,513.75*3*5.5/100

Interest = 321,976.875/100

Interest =  $3219.76875

Amount = $19,513.75+$3219.76875

Amount = 22,733.51875

Hence the present value is $22,733.51875

2) Simple Interest = PRT/100

Simple Interest = 5000*(4 3/4)* 18/12*100

Simple interest = 5 * 19 * 18/4*12

Simple interest = 1710/48

Simple interest =35.625

Amount = 5000 + 35.625

Amount = $5035.625

Hence the present value is $5035.625

What is the total surface area??

Answers

Answer:

790 units^2

Step-by-step explanation:

Take the area of each side and add them all up. Remember each side is there twice.

Formula: SA = 2(15*5 + 15*16 + 5*16)

SA = 2(75 + 240 + 80)

SA = 2(395)

SA = 790

Mr. barrera has 2 bags of cat food. One bag has 20 ounces and the other has 3 1/2 times as much as the first bag. If Mr. Barrera uses 1/5 of the cat food from the larger bag to feed his cats, how many ounces of cat food did he use?

Answers

Answer: 14 oz

Step-by-step explanation: Trust me it’s right

The number of ounces of cat food that Mr. Barrera used is; 14 Ounces (Oz)

Number of bags with cat food = 2 bagsNumber of ounces in first bag = 20 Oz

Other bag has 3½ times as much as first bag. Thus;

Number of ounces in second bag = 3½ × 20 = 70 Oz

He uses 1/5 of the cat food from the larger bag.

Thus;

He used; 1/5 × 70 = 14 Oz of cat food

Read more about proportions at; https://brainly.com/question/1781657

Solve the system of equations by multiplying first. Enter the solution as an ordered pair.

x + 3y = -13

4x + 4y = -12

The solution is

Answers

Given:

The system of equations is:

[tex]x+3y=-13[/tex]

[tex]4x+4y=-12[/tex]

To find:

The solution for the given system of equations.

Solution:

We have,

[tex]x+3y=-13[/tex]            ..(i)

[tex]4x+4y=-12[/tex]          ...(ii)

Multiply equation (i) by 4, to make common coefficient of x.

[tex]4x+12y=-52[/tex]            ..(iii)

Subtract (ii) from (iii).

[tex]4x+12y-4x-4y=-52-(-12)[/tex]

[tex]8y=-40[/tex]

[tex]y=\dfrac{-40}{8}[/tex]  

[tex]y=-5[/tex]  

Putting [tex]y=-5[/tex] in (i), we get

[tex]x+3(-5)=-13[/tex]

[tex]x-15=-13[/tex]

[tex]x=-13+15[/tex]

[tex]x=2[/tex]

Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].

Help me with this!!!!

Answers

I think yes but I’m not very sure

Below is the graph of a trigonometric function. It intersects its midline at (8.7, 7.2), and it has a minimum
point at (6.2,3.8).

Answers

Answer: 3.4

Step-by-step explanation:

7.2 - 3.8

The minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].

What is the trigonometry function?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle.

It means that the relationship between the angles and sides of a triangle are given by these trig functions.

Here given that,

In the trigonometry functions it intersects its midline at [tex](8.7, 7.2)[/tex], and it has a minimum point at [tex](6.2,3.8)[/tex].

So,

[tex]7.2 - 3.8=3.4[/tex]

So, the minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].

To know more about the trigonometric function

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Ian went to a music store to buy a guitar. The guitar which he picked out was $350. He found out that there was a sale that day and all guitars were 20% off. Since he had a rewards card at the music store,he was also able to receive 5% off the sale price. How much did Ian pay, without tax,for the guitar?

Answers

Answer:

$266

Step-by-step explanation:

The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.

Calculation of the amount:

Since the cost of the guitar is $350

There is 20% off.

And, there is 5% off the sale price

So, it be like

= 350 (1 - 0.20) (1 - 0.05)

= $266

hence, The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.

learn more about discount here: https://brainly.com/question/22313042

Ben has a piece of plywood that measures 1 yard on each side.He cuts the wood into 6 equal pieces.Each piece is 1/3 yard wide and 1/2 yard long.What is the area of each piece that Ben cuts?

Answers

Answer:

The area is "[tex]\bold{\frac{1}{6}}[/tex]".

Step-by-step explanation:

In this question, to understand the problem we use the model, that  Begins with drawing squares from each side which is 1 yard, and divides these as defined throughout the problem. To fix the issue, using the given model, please find the attached file.

Calculating the area of the one-piece:

[tex]=\frac{1}{2} \times \frac{1}{3}\\\\=\frac{1}{2\times 3}\\\\=\frac{1}{6}\\\\[/tex]

What is the mean of the data set?

Fifth Grade Jump Distance
2 0
3 2 4 6
4 0 2 4 8
5 5
6 5
2 0 = 20 inches
42
40
45
20

Answers

Answer:

42

Step-by-step explanation:

Add all the numbers 20+, 32, 34, 36, 40, 42, 44, 48, 55, 65=416

then divide by total number of digits

(Mean: The mean is the average. It is found by adding all the data values and then dividing by the number of data points.)

41.6 rounded to 42

Please help use 3.14 for pi​

Answers

Volume of cone: pi * r^2 * h/3
3.14 * 3^2 * 8/3
3.14 * 9 * 8/3 = 75.36 cm^3
The solution is B

Write a rule for the geometric sequence with the given description: The first term is −3, and each term is 5 times the previous term. Then, use the rule to solve for the 9th term. All work must be shown.

Answers

Answer: -1171875

Step-by-step explanation:

From the question,

a = first term = -3

r = common ratio = 5

The ninth term will be:

= ar^8

= -3 × 5^8

= -3 × 390625

= -1171875

Therefore, the ninth term is -1171875.

heyyyyyyyyyyyy helpppp

Answers

Answer:

its b

Step-by-step explanation:

Answer: the answer B sorry if its wrong

Step-by-step explanation: have a nice day buddy

50 POINTS! By using shadows, Tatiana wants to find the height of a building. At a certain time of day, her shadow is 2.4 feet long and the building’s shadow is 16 feet long. Her height is 5.8 feet. How tall is the building?

Answers

The building is 16 feet tall

what is the diameter of the circle: (x-4)^2+(y-2)^2=9 ?

Answers

Answer:

The diameter is 6

Step-by-step explanation:

the answer is 6.....

Elena is making chocolates. She starts by melting a block of chocolate

shaped like a rectangular prism. Then she pours the melted chocolate

into molds shaped like rectangular prisms. How many chocolates can

Elena make with the block of chocolate?

Answers

Answer:

well tell us any measurements or any numbers that follow along with this problem.

A town total allocation for firefighters wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter. How many firefighters can the town employ if they spend their whole budget?

Answers

Answer:

Number of firefighters= 10

Step-by-step explanation:

Giving the following information:

Total budget= $600,000

Wage per firefighter= $40,000

Benefits per firefighter= $20,000

To calculate the number of firefighters that the town can employ, we need to use the following formula:

Number of firefighters= total budget / total cost per firefighter

Number of firefighters= 600,000 / (40,000 + 20,000)

Number of firefighters= 10

You put a fence around the dog pen and fill it with gravel. The fence costs $1.50 per foot. One bag of gravel covers 4 square feet and costs $3.50. How much do you spend?

Answers

$124.00 (36ft of fencingx1.50=$54)(area 80 ft/4=20 bagsx 3.50 = $70) 54 + 70 = $124.00

If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5

What is rectangle?

"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."

What is triangle?

"A triangle is a polygon with three edges and three vertices."

The given figure contains a rectangle and a triangle.

Length of rectangle = 10 ft

Breadth of rectangle = 8 ft

Area of rectangle = length × breadth

Area of rectangle = 10 × 8 = 80 ft.

Base of triangle = 8 ft.

Height of triangle = 3 ft.

Area of triangle = [tex]\frac{1}{2}[/tex]× base × height

Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.

Total area of fence = Area of rectangle + Area of triangle

Total area of fence = 80 + 12 = 92 ft.

Cost of one foot of fence = $1.50

Cost of 92 foot of fence = $1.50 × 92

Cost of 92 foot of fence = $138

4 square feet is covered by = 1 bag of gravel

1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel

92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel

Cost of 1 bag of gravel = $3.50

Cost of 23 bags of gravel = $3.50 × 23 = $80.5

Total amount spend = $138 + $80.5 = $218.5

Hence, total amount spend is $218.5

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please help asap - ill give brainiest

Answers

Answer:

this is your answer. look it once

30% of what number is 7.5??

Answers

Answer:

x = 25

Step-by-step explanation:

the question can be given as x * .3 = 7.5, or rearanged into

7.5/0.3 = x

75/3 = x if you multiple the fraction by 10/10

x = 25 in this case


What is the meaning of the point with an x-coordinate of 2?

Answers

Answer:

A

Step-by-step explanation:

Because the x-coordinate is in seconds. Which eliminates answer B

Also, the Y-coordinate is measured in 40 meters per unit, this eliminates C and D.

What is the area of the parallelogram?

Answers

Area of a parallelogram: A=bh
A = 4(15)
A= 60 inch squared

Hope this helps :)

Need help please! I added a picture for the question need help ASAP!

Answers

Answer:

36%

Step-by-step explanation:

Tried it with 100 as a base and got to 36. Should be right :)

Answer:

He had not sold 90%

Step-by-step explanation:

make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%

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