The total area of a rectangular shaped playground is 24 1/2 squared meters. If the width of the playground is 3 1/2 meters, which of the following is the length of the playground?
a. 7m
b. 28m
c. 85.75m
d. 0.7m

Answer:

x=-2, y= 1

Step-by-step explanation:

Given data

-2x+3y= 7 --------------1

5x+8y= -2--------------2

Multiply 1 by 5 and 2 by 2 and add

-2x+3y= 7   X 5

5x+8y= -2   X 2

-10x+15y= 35  

10x+16y= -4  

0x+31y= 31

31y= 31

y= 31/31

y= 1

put y= 1 in eqn 1

-2x+3y= 7

-2x+3(1)= 7

-2x+3=7

-2x= 7-3

-2x= 4

x=- 4/2

x= -2

Answer:

6 + x = 9

Step-by-step explanation:

We know that x = 3, and that we need to add x (which equals 3) to 6.

So, all we need to do is add 6 + 3.

6 + x = 9

We know this because for the expression 6 + x, we replace x with it's given value, which is 3.

      ⬇

6 + 3 = 9

Answer:

a = 5(10²)/2

a = 5(100)/2

a = 250

Answer:

6.5 ft

Step-by-step explanation:

You must use Pythagoras theorem, which is a² + b² = c², then square root c to get answer

if 5.6 = a and 3.3 = b

5.6²+3.3²=42.25(=c²)

42.25 = c²

square root both sides

6.5 = c

Answer:

6.5 ft.

Step-by-step explanation:

To find this you can use the Pythagorean Theorem. [tex]a^2+b^2=c^2[/tex]

[tex]5.6^2 + 3.3^2=C^2[/tex]

31.36+10.89=[tex]C^2[/tex]

42.25=[tex]C^2[/tex]

NOW you have to square root both sides of the equation

[tex]\sqrt{42.25} = \sqrt{C^2}[/tex]

You square root both sides so you can get ride of the exponent on C

So, your answer is 6.5=C

hope this helps :)

p.s. for further questions, [tex]c^2[/tex], is always the opposite side of the right angle.  :)

Answer:

angle KJG = angle FGJ (by alternateinteriorangle)

Answer:

The total cost for john's meal would be $66.84

Step-by-step explanation:

6.5% of 52.30 = 3.3995

52.30 plus 3.3995 = 55.6995

20% of 55.6995 = 11.14$

55.6995 + 11.14 = $66.84

Answer:

Step-by-step explanation:

2x+4y+24

3x+3y=21

Answer:

it would decrease by 10%

Step-by-step explanation:

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Price elasticity of demand = percentage change in quantity demanded / percentage change in price  

percentage change in price = ($10 - $8) / $8 = 0.25 x 100 = 25%

0.4 =  percentage change in quantity demanded / 25%

percentage change in quantity demanded = 25% x 0.4 = 10%

Answer:

-25

Step-by-step explanation:

-9 - 2(-4 + 12) = -25

Answer:

So sorry but I have no idea, also have a great weekend!

Answer:

False true true true

Step-by-step explanation:

So sorry for the rough sketch but that is how it will reflect

Answer:

36 degrees

Step-by-step explanation:

Ok so wouldnt you have to subtract 54 minus 18? and if so then

Answer:

Multiply each le and divde from the one on the left

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

180-135= 45

45 + 77 = 122

180 -122 = 58

Answer:

i think its 832 im not for sure

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

since the sign is pointing to the "greater number"

any number over 13 is fine

The value of x can be 14, 15, .... and so on.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write  Olivia's Age ≤ 12. This is a real-world example of an inequality.

Given:

13< x

So, we have to choose the value which are greater than 13.

The value of x cannot be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13.

Thus, the value of x can be satisfies by 14, 15, .... and so on.

Learn more about Inequality here:

https://brainly.com/question/28823603

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Answer:

4 hours

Step-by-step explanation:

Because 12 by 8 =96$ and 16 by 6 is equal to 96 too

Answer:

You earn more per hour and you would get $127.50

Step-by-step explanation:

You can find how much money you get per hour by dividing! 102 divided by 12 is 8.5 and 120 divided by 15 is 8 so you get more!

Answer:

function 2 only

Step-by-step explanation:

The Function that have a slope have 1 is Function 1.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

From function 1, the slope is

Slope = (0-2)/ (1- 3)

Slope = (-2)/ (-2)

Slope = 1

Now, for function 2 the slope is

Slope = 2

and, for Function 3 the slope is

Slope = 0

and, For function 4 the slope is

Slope = 3/2

Thus, Slope of function 1 have slope 1.

Learn more about Slope here:

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Answer:

Angle KJL

Step-by-step explanation:

Right Triangle Square

Answer:

It's KJL

Step-by-step explanation:

Like u can see the red thingy is 90°.

The probability the letters will spell the word ENVELOPE is 1/6720 option (D) 1/6720 is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

If all the letters in the word ENVELOPE are randomly rearranged,

As we know, a permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

From the definition of the permutation and combination we can calculate the total number of arrangements:

E :: 3

N :: 1

V :: 1

L :: 1

O :: 1

P :: 1

The arrangement Letters:

E,L,N,O,P,V

Total Number of Letters:

8

Total Number of Unique Letters:

6

Total arrangements  = 8!/3!

Total arrangements  = 8×7×6×5×4

Arrangements  =  6720

Total number of outcomes = 6720

Number of favorable outcomes = 1

Probability = 1/6720

Thus, the probability the letters will spell the word ENVELOPE is 1/6720 option (D) 1/6720 is correct.

Learn more about the probability here:

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Answer:sorry

Step-by-step explanation: i need points

Step-by-step explanation:

[tex] \frac{ {8}^{8} }{ {8}^{3} } \\ = {8}^{8 - 3} \\ = {8}^{5} [/tex]

Answer:

Step-by-step explanation:

Given;

Loan = $5,000

Interest rate = 13% charged at the end of each year

Question 1. Expression to represent the amount owed, in dollars, after;

a. After 1 year.

Owed amount = Loan + accrued interest= $5000 + ( 13% * $5000 * 1 year )

= 5650

b. After 2 years.

Owed amount = Loan + accrued interest

= $5000 + ( 13% * $5000 * 2 years )

= $6300

c. After t years

Owed amount = Loan + accrued interest= $5000 + ( 13% * $5000 * t years )= $5000 + $650t

Question 2. Explain how to convince someone that your expression for t years is correct.

Amount owned= borrowed amount + accrued interest

Accrued interest = Interest rate per year * Loan amount * time in years ( for simple interest case )

Loan amount = $5000

Time = t years

Interest rate = 13% per year

Accrued interest = 13% * $5000 *t years= $650t

Amount owned will therefore be; = Loan amount + Accrued interest

= $5000 + $650t

Answer:

Step-by-step explanation:

Answer:

[tex]x + 54\ge 70[/tex]

[tex]x \ge 16[/tex]

Step-by-step explanation:

Given

[tex]Total = 70[/tex] (at least)

[tex]Accumulated = 54[/tex]

Required

Express as an inequality

In inequalities, at least means [tex]\ge[/tex]

So, the expression is:

[tex]x + Accumulated \ge Total[/tex]

Where x represents the additional points

[tex]x + 54\ge 70[/tex]

Solve for x

[tex]x \ge 70 - 54[/tex]

[tex]x \ge 16[/tex]

Hence, she needs at least 16 points

Answer:

2

Step-by-step explanation:

The radical rule : [tex]\sqrt[3]{2^{3} }[/tex] = 2  when the number inside is greater than or equal to 0

Answer:

B. 12.5

Step-by-step explanation:

where the box ends on the left side is the 1st quartile.