Find the values or a and b​

9514 1404 393

Answer:

  a) 2(L+W)=420; L-W=110

  b) length: 160 ft; width: 50 ft

Step-by-step explanation:

The formula for the perimeter (P) in terms of length (L) and width (W) is ...

  P = 2(L+W)

We can use this as one of the equations. The other will relate the length and width according to their difference:

  L -110 = W

Substituting the given perimeter in the above equation, our system of equations is ...

Substituting for W in the first equation gives ...

  420 = 2(L +(L -110))

  210 = 2L -110

  320 = 2L

  160 = L

  160 -110 = W = 50

The planting area is 160 feet long by 50 feet wide.

_____

Comment on the question

Most national flags have a length/width ratio of 1.5 or 2. The flags of Vatican City and Switzerland are square (1.0). The longest flag is that of Qatar, with an aspect ratio of width:length = 11:28, about 2.545. The "national flag" described here has an aspect ratio of width:length = 5:16, or 3.2. Apparently, it is not to scale, or not from Earth. (The US flag aspect ratio is 1.9.)

Answer:

5/3a+2b is the answer you need to use an the ab/c on your calculator

Answer:

[tex] \frac{4}{3} a - \frac{1}{2} b + \frac{1}{3} a + \frac{5}{2} b \\ = ( \frac{4}{3} + \frac{1}{3} )a + ( \frac{5}{2} - \frac{1}{2} )b \\ = \frac{5}{3} a + \frac{4}{2} b \\ = \frac{5}{3} a + 2b \\ = \frac{5}{3}a + 2b[/tex]

Answer: {(0, 1), (2, 3), (4, 5), (7, 8)}

Step-by-step explanation:

For the function:  y = x - 1    (y is one less than x)

If x =1 , y= 0

if x= 3 . y= 2

If x = 5 , y= 4

If x= 8 , y= 7

So it is same as

x y

1 0

3 2

5 4

8 7

But different from {(0, 1), (2, 3), (4, 5), (7, 8)} [here x is 1 less than y]

So,  the complete statement would be : All of the following represent the same function except {(0, 1), (2, 3), (4, 5), (7, 8)} .

Answer:

The answer is ;

9x/2y^2

Step-by-step explanation:

Here, we want to simplify as far as possible

Let us take all the numbers one after the other

All numbers on numerator and denominator;

(4 * 9)/(2 * 4) = 9/2

All x

(x^2 * x^2)/(x^2 * x) = x

All y

(y^4 * y^4)/(y * y^9) = y^8/y^10 = 1/y^2

So the complete answer is;

9/2 * x * 1/y^2

= 9x/2y^2

Step-by-step explanation:

14. e= -25

16. y=7

18. -k=500

20. w= -20

22. x=21

24. y=0

hope it helps.

Answer:

14. e=-25

16. y=7

18. k=-500

20. w=-20

22. x=21

24. y=0

Step-by-step explanation:

big brain

Answer:

I think the first option is better.

Step-by-step explanation:

First : 5.75% of $5000 is 287.5. 287.5 * 24 = 6900

And 6.55 of $5000 is 325. 325 * 36 = 117000

If she takes the first option it would be better because it is nearer to what she can afford. It is also better because it helps her make more than 5000 in less time.

HOPE THIS HELPED.

IF IT DOESN'T PLEASE COMMENT.

Answer:

No solution

Step-by-step explanation:

3x - 4y = 2

6x - 8y =1

Multiply the first equation by -2 so you can eliminate the x's.

-2(3x-4y =2)

6x - 8y = 1

-6x + 8y = 2

6x - 8y = 1

Add the equations so they cancel.

0 + 0 = 3

0 [tex]\neq[/tex] 3, therefore there are no solutions.

Answer:

60 ?

Step-by-step explanation:

60×2 = 120. .

when you have a x right behind a number that means multiply

Answer:

QR=PS in a parallelogram

Therefore, 17.7 is the right answer.

Answer:

(2, 3)

Step-by-step explanation:

Answer:

7, 8, 8,7,8,9

Step-by-step explanation:

brainliest plss!!<3

Answer:

:)

Step-by-step explanation:

i think it's MODE 21........

Using proportions, it is found that the length of his drawing is of 4 mm.

The rule of three is:

1 mm - 2 in

x mm - 8 in

Applying cross multiplication:

[tex]2x = 8[/tex]

[tex]x = \frac{8}{2}[/tex]

[tex]x = 4[/tex]

The length of his drawing is of 4 mm.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:

1560 minutes

Step-by-step explanation:

52minutes x 6 = 312minutes

312minutes x 5 = 1560 minutes

so that means, she spends 1560 minutes in class

Answer:

___1560_____ minutes.

Step-by-step explanation:

6*52*5 = 1560 minutes

___1560_____ minutes.

Answer:

A. 2.243994753

B. 1.396263402

C. 2.692793703

D. 2.094395102

E. 1.745329252

Answer:

D

Step-by-step explanation:

Remark

This is an incredibly beautiful problem! It is solved mostly by algebra. r = 1 and the height will therefore be 2

Equations

l^2 + r^2 = l^2

l is the slant height.

Solution

SA = π * l * r + π r² = π(1 + √5)          Divide both sides by π

Find l

l * r + r^2 = 1 + √5

l^2 = r^2  + h^2

l^2 = r^2 + (2r)^2

l^2 = 5r^2

l = √5 * r

Now go back to this equation to find r

l * r + r^2 = 1 + √5                               Substitute the value for l

√5 r * r + r^2 = 1 + √5                         On the left pull out r^2

r^2 (1 + √5) = 1 + √5                            Divide by 1 + √5

r^2 = 1                                                  Take the square root on both sides

sqrt(r^2) = sqrt(1)

r =1

Therefore h = 2

Volume of the cone.

V = 1/3 * π r² h

V = 1/3 * π 1² 2

V = 2/3 * pi

D

Answer:

answer B

Step-by-step explanation:

I got this answer right on my test

Table 1 and table 3 are represent linear functions of x.

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0. Although the linear functions are also represented in terms of calculus as well as linear algebra.

Given are four tables, we need to find that which of them shows linear functions of x,

Linear functions will have the ratios of x and y coordinates, constant.

In table 1 :-

x/y = -1/2

-2/4 = -1/2

-3/6 = -1/2

Since the x and y coordinates are constant, therefore, the function is linear.

In table 2 :-

x/y = 1/1 = 1

2/4 = 1/2

3/9 = 1/3

Since the x and y coordinates are not constant, therefore, the function is not linear.

In table 3 :-

x/y = 1/5

2/10 = 1/5

3/15 = 1/5

Since the x and y coordinates are constant, therefore, the function is linear.

In table 4 :-

x/y = 1/1 = 1

2/8 = 1/4

3/27 = 1/9

Since the x and y coordinates are not constant, therefore, the function is not linear.

Hence, table 1 and table 3 are represent linear functions of x.

Learn more about linear functions click;

https://brainly.com/question/20286983

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Answer:

5=1/3x-11  

Step-by-step explanation:

Add eleven to each side to get 16=1/3x. Then multiply each side by three to get 48=x, so x=48.-step explanation:

Answer:

3% = 0.03

verified with calculator

Answer:

$486.00

Step-by-step explanation:

187.15/19=11.70

11.70 x 40 = 468

Answer:

Step-by-step explanation:

A right cylinder has a diagonal length of 37 and a total surface area of 492.

What is the height of the cylinder?

A. 35

B. 42

C. 25

D. 17

E. 32

Answer:19 to the 5th power

Step-by-step explanation:

U got to count all the zeros and that will be the number u put on top plus 19

Answer:

To find the missing angle you have to use cosine so it would be cos^-1(26.2/27) since cosine is adjacent over hypotenuse so the missing angle x is 13.98 but rounded to the nearest tenth its approximately 14.

Step-by-step explanation:

hope this helps

Answer:

4/3

Step-by-step explanation:

sohcahtoa

tan  = opposite/adjacent

tanX = 32/24 = 4/3

Answer:

x is 10

Step-by-step explanation:

Form the diagram, you can see that UV is parallel to TS, this means that <UVS  = < UTS

Given

<UVS = 5x + 38

<UTS = 12x - 28

Since the sum of opposite angle of a quadrilateral is 180 degrees, hence;

5x + 38 + 12x - 28 = 180

Collect like terms

5x + 12x - 28 + 38 = 180

17x + 10 = 180

17x = 180-1-

17x = 170

x = 170/17

x = 10

hence the value of x is 10

Step-by-step explanation:

Scale factor of STUV to S'T'U'V

= Length of T'U' / Length of TU

= 6/12 = 0.5.

Answer:

Step-by-step explanation:

[tex]x=\frac{- b+ \sqrt{b^{2}-4ac} }{2a}[/tex]   [tex]x=\frac{- b- \sqrt{b^{2}-4ac} }{2a}[/tex]        

x=-5, 4.7

Answer:

59

Step-by-step explanation:

18(3)=54+5=59

I dont see why it isnt 59, talk to me in th comments

Answer:

y=3(x+1)^2+7

Step-by-step explanation: