A park in the shape of a rectangle has side
lengths of 7 miles and 9 miles. Approximately how
much shorter is the walk diagonally across the park
than along the two sides of the park?

Answer:

I'm pretty sure its the 1st one.

Step-by-step explanation:

The solution of the system belongs to -1 ≤ x ≤ 1, -1 ≤ y ≤ 1.

Given a system of the equations:

x/3 + y/2 = 1/3  .... (1)

(5x)/6 - (3y)/4 = 1/6  ....(2)

Multiply 5/2 to equation (1) then subtract from equation (2), we get,

(5y)/4 + (15y)/8 = 5/6 - 1/6

(10y + 15y)/8 = 4/6

(25y)/8 = 4/6

25y = 4/6 x 8

y = 32/150

y = 0.21

To find the value of x,

x/3 + 32/300 = 1/3

x/3 = 1/3 - 32/300

x = 3(1/3 - 32/300)

x = 1 - 32/100

x = 0.68

From the given choices,

-1 ≤ x ≤ 1, -1 ≤ y ≤ 1.

To learn more about the system of equations;

brainly.com/question/13729904

#SPJ1

Answer:

N||M, K||J

Step-by-step explanation:

N and M are both parallel to each other and || symbolizes that, same goes for K and J

Answer: a

Step-by-step explanation:

u do 1+1

Answer:

y=-9

Step-by-step explanation:

7+y=-2

subtract 7 on both sides

Answer:

y= -9

Step-by-step explanation:

This is a one-variable equation.

7+y= -2

We can subtract 7 from both sides to isolate y

7 + y - 7= -2 - 7

After simplifying, we get

y= -9

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Recall:

Ryan's Savings Plan Function:

s = 15m + 50

Thus, the starting value (starting balance) modelled by this function is $50

The slope/rate of change is $15 per month

Taylor's Savings Plan:

Given the table, the starting value will be the amount saved (initial value) at 0 number of months.

Using (0, 25) and (1, 45) find the rate of change:

In summary:

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Learn more about linear function on:

https://brainly.com/question/15602982

Answer:

f

Step-by-step explanation:

Answer:

Lets just say we are finding the halfway point is very needful because; it means that we can find the amount of flour used for 1 while egg.

We are told there is a need to find the Number that is halfway between 1 and 1½.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

It is multiplied by 2 so the next answer would be -8 not -6 hope this helps!:)

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

Value of x is 64

Answer:

3.25

Step-by-step explanation:

13÷4=3.25

Everyone gets 3.25 kg of chocolate

Answer:

3 1/4 kilograms

Step-by-step explanation:

13 ÷ 4 = 3.25 = 3 1/4

Answer:

$388.50

Step-by-step explanation:

9.25 *  42  = $388.50

Answer:

29/4

Step-by-step explanation:

7 x 4 = 28

28 + 1

hope that helps!

Answer:

29/4

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

4 × 7 = 28

Step 2

Add the answer from Step 1 to the numerator

28 + 1 = 29

Step 3

Write answer from Step 2 over the denominator

29/4

Hope this helps!:)

Answer:

[tex]8^6[/tex]

Step-by-step explanation:

Powers are defined as the number of times you multiply a number by itself. For example, 2 to the 3rd power is 2 multiplied by itself 3 times. 2 * 2 * 2 = 8. You also know that if you multiply two powers of the same base, you add the exponent, and if you raise a power to a different power, you multiply the exponents.

e.g:

[tex]2^2\cdot2^2=2^{2+2}=2^4\\(2^2)^3=2^{2\cdot3}=2^6[/tex]

Now, we are asking to use grouping to write 2 to the power 18 as a power of 8. We know 2 to the power 8 is 2 to the power 3, so we have the following equation:

[tex]2^{18}=(2^3)^x[/tex]

We know this is now 2 to the power 3x = 2 the power 18, and therefore x = 6, because 3 times 6 is equal to 18. Now, we can just simplify 2 to the third as 8 and we now have:

[tex]8^6[/tex]

Step-by-step explanation:

the description is very difficult to understand with special characters and potential typing errors.

I suspect the definition is

function(x) = 32 - x²

function(-5)function(-5) is then very easily calculated.

we need to calculate function(-5) and then square the result, as function(-5)function(-5) is just a simple multiplication of the function results.

function(-5) = 32 - (-5)² = 32 - 25 = 7

so,

function(-5)function(-5) = 7 × 7 = 49

Answer:

3:2

Step-by-step explanation:

42:28

21:14

3:2

Answer:

m=2

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

smallest slope

Answer:

B, y=X. Hope it works

Step-by-step explanation:

The different programs (in terms of order) that can be arranged is 120 different ways

Since we are dealing with arrangements, this is a permutation problem.

If there are three bands and two comics performing at a show, the total band will be 5 bands

The number of different programs that can be arranged will be 5!

5! = 5 * 4 * 3 * 2

5! = 60 * 2

5! = 120 ways

Hence the different programs (in terms of order) that can be arranged is 120 different ways

Learn more on permutation here: https://brainly.com/question/9253208

Answer:

(i) 4000

(ii) $5.00

Step-by-step explanation:

Let no. of shares of Company A be X

Let share price of Company B on Day 7 be $y

Share price of Company B on Day 12 = $(y-0.50)

(i)

Consider Day 7:

4.60x - 2000y = 7400................ (1)

Consider Day 12:

4.80x - 5000(y-0.50) = -5800

4.80x - 5000y + 2500 = -5800

4.80x - 5000y = -8300............... (2)

(1)*2.5:

11.5x - 5000y = 18500................. (3)

(3)-(2):

11.5x - 4.80x - 5000y + 5000y = 18500 + 8300

6.70x = 26800

x = 4000

(ii)

Sub. x = 4000 into (1):

4.60(4000) - 2000y = 7400

-2000y = 7400 - 18400

-2000y = -11000

y = 5.5

Share price of Company B on Day 12

= 5.50 - 0.50

= $5.00

The answer is 2 workers coz there can't be 2.08333... workers

Answer:

y=1/2x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-5=1/2(x-2)

y=1/2x-2/2+5

y=1/2x-1+5

y=1/2x+4

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as Brainliest. Thank you.

Answer:

50/50

Step-by-step explanation:

Im not completly sure but when flipping a coin there is only two sides so theoretically if you are flipping a coin there is a 50/50 percent chance you will get heads

Answer:

17

Step-by-step explanation:

substitute t = - 9 into f(t) , that is

f(- 9) = - 2(- 9) - 1 = 18 - 1 = 17

Answer:

1,771,470

Explanation:

10(3^n-1)