The lengths of a rectangle are 2x and x – 3. A triangle has lengths x, x – 2 and x + 4. The rectangle and triangle have the same perimeter.

Answers

Answer 1
Let P = the combined perimeter for the rectangle and square.

P = rectangle + triangle

P = 2(2x) + 2(x - 3) + x + x - 2 + x + 4

P = 4x + 2x - 6 + 3x - 2 + 4

P = 9x - 8 + 4

P = 9x - 4

Related Questions

In the number 8,888.888, how does the 8 in the hundredths place compare to the 8 in the place to its left? A. The 8 in the hundredths place represents of what the 8 to its left represents. B. The 8 in the hundredths place represents of what the 8 to its left represents. C. The 8 in the hundredths place represents 100 times what the 8 to its left represents. D. The 8 in the hundredths place represents 10 times what the 8 to its left represents.

Answers

The answer is to the question is D.


Answer: The 8 in the hundredths place represents 1/10 of the 8 to its lefts response

Step-by-step explanation:

In order from least to greatest what is 19% 19/20 1.9% 1.9 x 10 to the power of 5

Answers

1.9%, 19%, 19/20, 1.9x10 

Jana and her sister went to a restaurant for dinner. Jana's dinner cost $5 more than her sisters. if their combined bill was $19 without tip, what was the price of jana's dinner?

Answers

19/ 2 = 9.5, 5/2 = 2.5, 9.5+ 2.5 = 12, 9.5-2.5 = 7, 7+12 = 19 so $12 is your answer  

The price of Jana's dinner will be $12.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Jana and her sister went to a restaurant for dinner. Jana's dinner cost $5 more than her sisters. if their combined bill was $19 without a tip.

Jana's cost will be calculated by forming two linear expressions as below:-

J + S = 19

J - S = 5

Solve the above equation by elimination method.

2J = 19 + 5

2 J = 24

J = 24 / 2 = 12

Therefore, the price of Jana's dinner will be $12.

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A rectangular patio has a length of 12 1/2 feet and an area of 103 1/8 square feet. What is the width of the patio?

Answers

Area= length x width

103 1/8 = 12 1/2 x width

width = (103 1/8) ÷ (12 1/2)
width = 8.25 or 8 1/4

Answer:

The answer is b. 8 1/4 feet.

What is 0.34 in word form?

Answers

the answer is thirtyfour.
thirty four hundreths

1/3(12-24v)=-2(4v-2)

Solve the equation for 15 points PLEASE HELP!!!!!!!

Answers

Relax! This isn't so hard once you grasp it. In an equation like this, what's the first step? Distributive property, right? Multiply 1/3 by 12, then by -24 v, and apply the same process to the other side. This leaves you with 4-8v=-8v+4. Now you need to isolate that variable. You have the same variable on both sides, so you do inverse of subtraction on either one. I'm going to choose the one on the right. You add 8v to both sides, leaving you with 4-v=4. Subtract 4 from the first side, and get -v=4. You aren't solving for -v, so flip the sign, and your final answer is v=-4. Make sense? (Let me know if it doesn't--I'm always willing to walk you through it some other way. I plugged it back in, and I am 100% sure that this answer is correct.)

By what percent will a fraction change if its numerator is increased by 60% and its denominator is decreased by 20%?

Answers

N/D --> 0.8N/0.4D = 2N/D

--> 100% increase
---------------
It's 100%, = 1 time larger, 2 times as large.

Answer:

It is increased by 100%. The numerator is two times more than the denominator. That's why original fraction will become [tex]\frac{2x}{y}[/tex].        

Step-by-step explanation:

We need to find the percentage, if its numerator is increases by 60% and its denominator decreases by 20%.

First, we let the original fraction: [tex]\frac{x}{y}[/tex]

We have given its numerator is increases by 60% and denominator is decreases by 20% then,

New fraction will become = [tex]\frac{1.6x}{0.8y}[/tex].

Divide the new fraction by original fraction, then we get:

[tex]\frac{1.6x}{0.8y}[/tex]/ [tex]\frac{x}{y}[/tex]

[tex]\frac{1.6x}{0.8y}[/tex]* [tex]\frac{x}{y}[/tex]

Then, it will become [tex]\frac{1.6}{0.8}[/tex].

We can see that, The numerator is two times more than the denominator. That's why original fraction will become [tex]\frac{2x}{y}[/tex].

It is increased by 100%.

If we take an example, Suppose the original fraction is [tex]\frac{5}{8}[/tex] and the new fraction will become [tex]\frac{1.6*5}{0.8*8}[/tex].

= [tex]\frac{8}{6.4}[/tex] = [tex]\frac{80}{64}[/tex]

= [tex]\frac{10}{8}[/tex], it is twice of original fraction [tex]\frac{5}{8}[/tex].

multiply (2.75×10−8)⋅(4.6×10−3)

Answers

2.75 times 10 is 27.5 minus 8 is 19.3.
4.6 times 10 is 46 minus 3 is 43

Then 19.3 times 43 equals 829.9.
so your answer is 829.9.
2.75 * 10 - 8=19.5 
4.6 *10 - 3= 43
19.5 * 43=838.5 
Good Luck, hope this helps 

The following is the correct way to begin solving for the quotient of 39.538 divided by 5.3 using the standard method:


True
or
false

Answers

I would say true, because by saying 39.538 divided by 5.3, you are splitting 39.538 into 5.3 groups which equals about 7.46. Hope this helps!

Answer:

true

Step-by-step explanation:

39.538 divided by 5.3 using standard method. Which is true

Explain how you would find the difference of - 45 and - 60

Answers

A number Line would really help with this problem. After some work I
came to a conclusion that the answer is -15. I hope this helped. If I'm wrong, I'm truly sorry.

In the seventh grade, the ratio of girls to boys is 7:5. If there are 21 girls in the seventh grade, how many boys are there?

Answers

There is 15 boys in the Seventh Grade

So we are given the fraction ratio...

7 girls

---------

5 boys

if we make the fraction

21 girls

----------

x boys

equal each other, we can cross multiply and find x.

Cross multiplying means to multiply 7 times x and 21 by 5.

then we set up a little equation

7x = (21)(5) First lets solve what 21 times 5 is 

7x = 105 Now we have to divide both sides by 7 to get x alone.

÷7 = ÷7  On the left side of the equation the 7 cancels and we solve on the right.

x = 15


So we know that when we have 21 girls in the 7th grade classroom we also have 15 boys.


Good Luck! :)

<3

Describe two diffrent ways to solve negative 10=1 fourth(8y-12)

Answers

The given equation is better written as

-10 = 1/4*(8y-12)

The first way of the solution is as follows:
Distribute 1/4 to the inside equation of the parenthesis.
-10 = 2y - 3
2y = -10 + 3 = -7
y = -7/2 = -3.5

The second way of the solution is as follows:
Cross-multiply the denominator a the right side to the left side.
-10*4 = 8y - 12
-40 = 8y - 12
8y = -40 + 12 = -28
y = -28/8 = -3.5


Which statement is true about the graphed function?

F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).

Answers

Choice A) True. The f(x) portion is below the x axis on the interval (-infinity, -0.7) and on the interval (0.76, 2.5)

Choice B) False. This is a complete contradiction of choice A. 

Choice C) False. The portion of f(x) on the interval (-0.7, 0.76) is above the x axis.

Choice D) False. The portion of f(x) is above the x axis on the interval (-0.7,0.76); however, f(x) is below the x axis on the interval (0.76, 2.5). See choice A.

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

In summary, the final answer is choice A

Answer: A. F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

what property was used to rewrite the polynomial expression (x+5)+3(a+(6x)y) to 5+(x+3a+(18x)y)

Answers

3(a+(6x)y) was clearly multiplied out as seen by the 3a and 18xy, so the distributive property was used there. In addition, the commutative and associative properties state that you can rearrange sums, so those were used too 

In general, the air temperature decreases 12 degrees Fahrenheit for every 4,000 feet increase altitude. If a hiker climbs 3,000 feet, by how much can she expect the temperature to increase?

Answers

9 degrees


because 12/4 = 3 degrees (per 1000 feet)
3 x 3 = 9 degrees total (in 3000 feet)

hope this helps

what is the area of the science lab table that is 60 by 48 inches in feet?

Answers

2880 is the area in inches and 240 is the area in feet.
Most tables are rectangular so we can use the rectangle area formula:
[tex]A = L * W[/tex]

A = 60 * 48
A = 2880

Convert inches to feet.

2880 inches = 240 feet

So, the answer is 240 square feet.

The perimeter of a rectangle is 108 inches. It is twice as long as it is wide.Find the length; the width.Draw the figure.

Answers

answer is given above
36 + 36 +18 + 18 = 108

Length: 36"
Width: 18"

I'll leave you to do the drawing. Besides, 36" wouldn't fit on any old A4 sheet of paper.

What is 5s fact to multiply 6x8?

Answers

What are you trying to ask ??
Final answer:

Multiplying 6 and 8 gives the value of 48. The question seems to mention '5s fact', which typically refers to multiplication facts of 5, but this does not directly relate to multiplying 6 and 8.

Explanation:

It seems that the '5s fact' mentioned in the question doesn't directly apply to the multiplication problem provided (6x8). Rather, in the context of simple multiplication, a 'fact' typically refers to a multiplication fact, which is a statement of an equation that can be considered universally true in arithmetic. For instance, 5x1=5 or 3x2=6 are multiplication facts.

To multiply 6 and 8, regardless of any number's multiplication facts, you would simply calculate 6x8, which equals 48.

With regard to the '5s fact', if we are referring to the multiplication facts of 5, these would include equations like 5x1=5, 5x2=10, and so on. However, none of the '5s facts' directly relate to multiplying 6x8. If the question refers to some other concept that has not been clarified, please provide further details.

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what is the simplified form of the expression 11[(9^2-5^2) divided by 2^2+8]
224.5
242
51.3
110

Answers

[tex] \frac{11(9^2-5^2)}{2^2+8} = \frac{11(81-25)}{4+8} = \frac{11*56}{12} = \frac{11*28}{6} = \frac{11*14}{3} = \frac{154}{3} [/tex]= 51.333333333 ≈ 51.3

Hence, the answer is C.

Answer:

51.3

Step-by-step explanation:

In order to calculate this, you have to remember the norms for the solution of math problems with hierarchy of operations called PEMDAS:

   Parentheses (simplify inside 'em)

   Exponents

   Multiplication and Division (from left to right)

   Addition and Subtraction (from left to right)

So we first solve parentheses:

11[(9^2-5^2)= 11(81-25)=11(56)= 616.

and now we have to divide that by the result of:

2^2+8

Remember first exponents:

2^2+8= 4+8=12

ANd now we just divide:

616/12=51.3333

So the answer would be 51.3

A bottle contains 240 millimeters of juice. How many litters of juice is this?

Answers

The conversion of (240mL)/1 * (10^-3L)/1mL = .24L

Addison studies a tarantula that is 30 mm long suppose she uses a microscope to magnify the Spider by 4 x 10 to the second power how long will the Spider appear to be??? please show me how you got it. thank you

Answers

Since it's magnified by 4 *10^2, we have to multiply 30 by 4*10^2 since it's magnified by that number. 30*4*10^2=12000 mm.

write 3 equivalent forms of 0.472 using decimals and fractions?

Answers

59/125, 472/1000, 236/500
472/1000, 4720/10000, and 47200/100000

6x=7-4y;x=-2,-1,0

please help i dont understand in 8th grade algerbra 1 honors

Answers

I believe you have to find y by plugging in x.

6(-2) = 7 - 4y
-7         -7

-12 -7 = -4y
-19 
/-4            /-4

4.75 = y
y = 4.75


6(-1) = 7 -4y
-7         -7

-13 = -4y
/-4       /-4

3.25 = y
y = 3.25


6(0) = 7 - 4y
-7       -7 

-7  = -4y
/-4    /-4

1.75 = y
y = 1.75

Answer:

none of ya buisness

Step-by-step explanation:

because i cant remeber

You need to rent a moving truck for a day you have identified two companies that rent trucks company a charges $45 per day plus $.10 per mile company BCharges $30 per day plus $.20 per mile for how many miles will be cost of renting be the same

Answers

45 + 0.10m = 30 + 0.20m
45 - 30 = 0.20m - 0.10m
15 = 0.10m
15/0.10 = m
150 = m.....they are the same at 150 minutes

check..
45 + 0.10(150) = 60
30 + 0.20(150) = 60
yep, it checks out,,,150 miles

Explain how to simplify the fraction 12 over 36

Answers

The fraction 12/36
Is quite simple first find out what can go into 12 and 36
The factors that can go into 12 and 36 is 12.
12÷12=1
36÷12=3
So the final answer will be 1/3

The fraction is, 12/36 is the fraction 12 over 36.

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

the fraction 12 over 36

Is quite simple first find out what can go into 12 and 36

The factors that can go into 12 and 36 is 12.

12÷12=1

36÷12=3

So the final answer will be 1/3.

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Is 2 pm how many degrees are in the angle between the hour and minute hand

Answers

60° - minute hand is at 90° and hour hand is at 30°. 90-30=60
Final answer:

At 2 pm, the angle between the hour hand and the minute hand of a clock is 20 degrees. The calculation takes into consideration that the hour hand advances as minutes pass within an hour.

Explanation:

The angle between the hour and the minute hand at 2 pm can be calculated in the following way. First, remember that a full circle, representing one hour on a clock, equals 360 degrees. So, each hour equals 30 degrees (360 divided by 12 hours). However, the hour hand also moves as the minutes pass. At 2 pm exactly, the minute hand is on 12, while the hour hand is at 2. But, the hour hand has also moved 1/3 of the way between 2 and 3 (since 20 minutes have passed in the hour). It is closer to 3 by 1/3 of 30 degrees which equals 10 degrees. Hence, the hour hand is at a position of 60 degrees (2 hours times 30 degrees per hour). Therefore, the angle between the two hands at 2 pm is 20 degrees.

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A crane cable can support a maximum load of 15,000kg. If a bucket has a mass of 2,000kg and gravel has a mass of 1,500kg for every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane?

Answers

2000 kg times 6 cubic meters equals 12000 kg plus 1500 kg equals 13500 kg. So the answer is 6 cubic meters.

What is :
1)9.4 divided by 47
2)2.583 divided by 9
3)33.8 divided by 26
4) 37.8 divided by 18
Brain teasers answer in the comments ( I'm bored just do it )

Answers

1) 9.4 divided by 47 = 0.2

2) 2.583 divided by 9 = 0.827

3) 33.8 divided by 26 = 1.3

4) 37.8 divided by 18 = 2.1

Answer:

since u don't need the answers imma just leave this here, thnx for the points :)

Step-by-step explanation:

one eighth of a number is less than or equal to 3

Answers

1/8x<3 x<24
one eighth of 3 is less than 24

A store owner has 7.11 lbs of candy if he puts the candy into 9 jars how much candy will each jar have

Answers

each jar will have 0.79 lbs of candy
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