Lisa I think we should walk 6 blocks north and 5 blocks west to get to the store Kara says no I think it's shorter if we walk 3 blocks west 4blocks north 2blocks west and then 2 more block north Whose route is the shortest?

Answer:

Step-by-step explanation:

Assuming the parking lot is along both widths of the field and only once along the length:

the length is (300 - 2x)

the width is (200 -x)

the area is (300-2x)(200-x) = 30000

         60000 -300x - 400x +2x^2 = 30000

        2x^2 -700x + 30000 = 0

         x^2 - 350x + 15000 = 0

          (x    -   300    )(x   -    50    ) = 0

             x = 300 or x=50

x=300 results in negative measures.

the parking lot is x=50 wide

the length of the field is 200, the width of the field is 150

Answer:

67958.93228

Step-by-step explanation:

Answer:

exponential decay because the base is less than one

Step-by-step explanation:

Answer:

3/4 or 9/12 make the denominators the same then just add

Answer:

9/12 or simplified as 1/4

Step-by-step

2×4/3×4 + 1/12

= 8/12 + 1/12

= 9/12

= 1/4

Answer:

1) Area = ½ b × h

= ½ × 6 × 4

= 12

2) Area = ½b × h

= ½ × 3 × 4

= 6

3) Area = ½b × h

= ½ × 4 × 7

= 14

Answer:

x³ + 11x² + 18x

Step-by-step explanation:

(x² + 2x)(x + 9)

Step 1: Distribute x²+2x into x + 9.

x³ + 2x² + 9x² + 18x

Step 2: Combine like terms.

x³ + 11x² + 18x

The area of this rectangle is x³ + 11x² + 18x.

Answer:

Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x

Step-by-step explanation:

The height is (x + 9) and the width is (x^2 + 2x) and the the area of the rectangle is equal to: Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x

Answer: 13.) 49,  14.) 64

Step-by-step explanation:

7x7=49, 8x8=64

Answer:

9 ft

Step-by-step explanation:

Pythagorean theorem:

x = the  square root of 15 square minus 12 square

x= square root of 225-144

x= square root of 81

X = 9

Answer:

4x²+6x-40

2(2x²+3x-20) factor out 2

2(2x²+8x-5x-20) split the three into a difference

2(2x(x+4)-5x-20) factor the 2 out of first pair of parenthesis

2(2x(x+4)-5(x+4)) factor the 5 out of second pair of parenthesis

2(x+4)(2x-5) factor

= 2(x+4)(2x-5)

Step-by-step explanation:

i hope this helps :)

Given:

Length of the building  = 120 feet

Width of the building = 40 feet

Length of the model = 6 feet

To find:

Width of the model.

Solution:

The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.

Let x be the width of the building.

[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]

[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]

[tex]20=\dfrac{40}{x}[/tex]

[tex]x=\dfrac{40}{20}[/tex]

[tex]x=2[/tex]

Therefore, the width of the model is 2 feet.

Answer:B-t=37705-20h

Step-by-step explanation:The answer is B because you need to get rid of all  of the money she made working so you subtract 20 by how ever many hours she has worked

Answer:

Second option : t = 37705 - 20h

Step-by-step explanation:

I took the test

Answer:

Step-by-step explanation:

What is the question?

Answer:

exact form:

1/4

decimal form:

0.25

116= 1

is correct

wieyrb;ewury b2e;qpwiybrq;wiy

Answer:

0.1

Step-by-step explanation:

Divide 3/4 by 9 which will leave you with 0.083 repeated but if you estimate to the closest decimal that will bring you to 0.1 as your final answer.

Answer:

The sale price would be 20% off.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

750 minutes

Step-by-step explanation:

Answer:

750 minutes would be your answer

Step-by-step explanation:

Answer:

(11)

Rectangle

All interior angles are right angles

Diagonals bisect each other, diagonals are congruent

(12)

Rhombus

Diagonals are perpendicular and angle bisectors

Answer:

342

Step-by-step expl\

5335=454

Answer:

84 [tex]cm^{2}[/tex]

Step-by-step explanation:

find the area of each shape and add them together

Answer:

13 x 50 = 650

Step-by-step explanation:

Answer:

75 ft

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

6.7 hours

Step-by-step explanation:

If one can do 50 then three can do 150.

So 1000÷150=6.66666666666

Hope this helps

Step-by-step explanation:

answer is 20.31

I'm positive

Answer:

Answers are below

Step-by-step explanation:

29. 3(4x-5) + 4(2x+6)

Solution: 20 + 9

30. -8(2a - 3b) - 5(6b - 4a)

Solution: 4 − 6

31. 10(5g + 2h - 3) - 4(3g - 4h + 2)

Solution: 38 + 36ℎ − 38

hope this helps :) Let me know if you need any further explanations.

Answer:

P deceased by the total of q and r

Answer:

The answer is: p-(q+r)

Hope that helps. I just did it on my test and I got it right :D

Answer:

A = pi/3 = 1.05°

Step-by-step explanation:

Answer:

246.

Step-by-step explanation:

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

b) The minimum sample size to achieve this is 246.

Step-by-step explanation:

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so  

Now, find the margin of error M as such

In which  is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,  

The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22

The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)

We need a sample size of n

n is found when  

Then

Rounding up

The minimum sample size to achieve this is 246.

Answer:

$5.00

Step-by-step explanation:

$5 because it occurs the most

Answer:

$5

Step-by-step explanation:

The mode is the price that appears the most often in a given list.