The length of a rectangle is (3x-2) and its width is (2x+1). Find algebraic expressions to represent both the perimeter and area of this rectangle

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex]Let\ the\ first\ digit\ of\ the\ two\ digit\ number\ be\ a\\Let\ the\ second\ digit\ of\ the\ two\ digit\ number\ be\ b\\Hence,\\We\ are\ given\ that,\\a+b=9\\Hence,\\b=(9-a)\\As\ we\ know\ that,\\The\ original\ number\ containing\ 2-digits\ can\ be\ written\ as: 10a+b\\Hence,\\The\ original\ number=10a+(9-a)\\The\ original\ number=9a+9\\\\[/tex]

[tex]Now,\\Lets\ consider\ the\ reversed\ number\ with\ the\ reversed\ digits\ of\ the\\ original\ number.\\Hence,\\Reversed\ number\ containing\ reversed\ digits\ can\ be\ written\ as:10b+a\\Hence,\\Reversed\ number=10b+a\\Reversed\ number=10(9-a)+a=90-10a+a=90-9a\\[/tex]

[tex]Now,\\We\ are\ given\ that,\\Original\ Number-9=Reversed\ number\\Or,\\Original\ Number-Reversed\ number=9\\Hence,\\9a+9-(90-9a)=9\\9a+9-90+9a=9\\18a=90\\a=\frac{90}{18}=5[/tex]

[tex]As\ a=5, b=(9-5)=4\\Hence,\\The\ original\ number=10a+b=10*5+4=50+4=54[/tex]

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

Answer:

5

Step-by-step explanation:

2.63x5 = 15.78

Answer:

lets call the children, c, and call adult, a,

c+a= 52       eq 1: a=52-c

c=3a            eq 2

take a's value from eq 1 and plug it into eq 2

c=3(52-c)

c=156-3c

4c=156

c=39 the number of children that attended the ball game.

Step-by-step explanation:

Answer:

ok lol i think it is 3m x w=52 for the equation

Divide each term by

3

m

x

and simplify.

w

=

52

3

m

x

Answer:

About 84 liters

Step-by-step explanation:

Length*width*fill

24*19*0.75

111.51 liters*0.7=83.62=83.6 or 84 (estimated)

All in liters

Hope this helped :)

Answer:

It is about 84 litres to be exact 83.62

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

C

Step-by-step explanation:

Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units  lol you get what im saying so the answer is C hope this HELPSS!!

By the way follow my insta. exotic. jaliyah if you need anymore help

Answer:

$13.41

Step-by-step explanation:

maybe, I'm not that sure :/

btw you can, can you please mark me brainliest :)

Answer:

The correct

answer is B

The correct option is B)

A feasible region satisfies all the inequalities of a linear programming problem. It is based on the technique of optimization.

Given here the inequalities as –x + y ≤ –1

x + 2y ≥ 4

The graph plotting the two equations is plotted in the attached file

Hence from the given graph option B is the correct option.

Learn more about feasible regions here:

https://brainly.com/question/29314086

#SPJ2

Answer:

2250 m

Step-by-step explanation:

30 cm = 0.3 m

1 : 75  :: 0.3 : x

Product of extremes = product of means

1 *x = 75 * 0.30

   x = 75 * 0.30

 x = 22.5 m

Answer:

22.5 m

Step-by-step explanation:

Convert to meters

.3 / x = 1/75

multiply .3 by 75 to get 22.5 m

Answer:

Ok-

Step-by-step explanation:

Answer:

-193 is correct.

Answer:

[tex] A_1 = 12[/tex]

[tex] A_4=21[/tex]

[tex] A_{10}= 39[/tex]

Step-by-step explanation:

[tex]A_n = 12+(n-1)(3) \\ \\ plug \: n = 1 \\ A_1 = 12+(1-1)(3) \\ = 12 + 0(3) \\ = 12 + 0 \\ \red{ A_1= 12} \\ \\ plug \: n = 4\\ A_4 = 12+(4-1)(3) \\ = 12 + 3(3) \\ = 12 + 9 \\ \purple{ A_4= 21} \\ \\ plug \: n = 10\\ A_{10} = 12+(10-1)(3) \\ = 12 + 9(3) \\ = 12 + 27 \\ \orange{ A_{10}= 39} \\ \\ [/tex]

Answer:D

Step-by-step explanation:

Answer:

Georges drawing is larger.

Step-by-step explanation:

A scale is a representative fraction that can be used to either increase or decrease the dimensions of a given object. It can either be; reduced or enlarged.

From the given question, both scales are enlarged scale. But,

the scale from the actual triangle to the drawing = 30:1

This implies that every measure of 30 on the drawing is 1 of the actual. So that a measure of 120 on the drawing equals 4 on the actual.

Georges' scale = 10:1

This implies that every 10 measure equal 1 of the actual. So that a measure of 120 on the drawing is 12 on the actual.

Therefore, Georges drawing is larger.

Answer:

1 out of 9

Step-by-step explanation:

Answer:

p=0.75$

d=1.25$

Step-by-step explanation:

2p+2d=4

So 2p=4-2d

2p+3d=5.25

4-2d+3d=5.25

d=5.25-4

d=1.25

2p+1.25*2=4

2p=4-2.5

2p=1.5

p=0.75

Answer:

LETS GO WITH B

Step-by-step explanation:

Answer:

Blank #1.  4

Blank #2.  25

Blank #3.  5

Blank #4.  32

Step-by-step explanation:

Blank #1.  If a farm lets you pick 3 pints of raspberries for $12.00, then the cost per pint would be $4.00.

Blank #2.  If one pint costs $4.00, then you would get a quarter of a dollar per pint, or 0.25 (this is because four quarters are in a dollar, one quarter=25 cents).

Blank #3.  If you continue at this rate, for $20.00, you would be able to get 5 pints of raspberries because if you pick 3 pints of raspberries for $12.00, and one pint costs $4.00 (multiply 3 and 4 to get the total cost of $12.00), and if you pick 5 pints, that cost $4.00 each, for $20.00 (multiply 4 and 5 to get $20.00). So, if you had $20.00, you would be able to pick 5 pints of raspberries for a total of $20.00.

Blank #4.  For this question, all you have to do is multiply 4 and 8 ($4.00 and 8 pints) to get a result of $32.00 as your total cost. So, if you picked 8 pints of raspberries for $4.00 per pint, then you will have a total cost of $32.00.

Hope that helps and please give me brainliest!!

Answer:

7/4 meter

Step-by-step explanation:

their all in fractions of 8 so let reduce

Corn - 8 goes into 19 twice with the remander of 3 --> 2 and 3/8

Pepper 5/8 cause that cant be reduced any lower

Squash - 7/8 cant be reduced any more

Now its asking to subtract the tallest plant from the smallest to see the diffrence

The tallest plant is Corn and the shortest is Pepper

19/8 - 5/8 = 14/8

reduce 7/4

Answer:

It is 14/5 meters taller.

Step-by-step explanation:

[tex]\frac{19}{8}[/tex] - [tex]\frac{5}{8}[/tex] = [tex]\frac{14}{8}[/tex]

Answer:

A

Step-by-step explanation:

the president can order the military basically

Answer:

A. Issue executive orders

Step-by-step explanation:

Article II Section I states that executive power will be invested in the president during his four year term. Meaning he has the power to issue executive orders.

Answer:

$2.19

Step-by-step explanation:

7 divided by 3 is 2.5

5.46 divided by 2.5 is 2.184

round it and get 2.19

Answer:

It is type A because A is dominant and i is recessive.

Step-by-step explanation:

Answer:

I agree with  5421103, the answer is C.

Step-by-step explanation:

There are no like terms.

Answer:

=r−8s−5

Answer: y= 3x+62

Step-by-step explanation: m= y₂-y₁/x₂-x₁

m= 80-62/6-0

m= 18/6

m=3

y-y₁=m(x-x₁)

y-62= 3(x-0)

y-62= 3x-0

y= 3x+62

Answer:

She has 3/4 and each batch requires 1/8. 3/4 can be turned into 6/8 she can make 6 batches.