Blair's garden is four feet shorter than double its width. The perimeter of the garden is 64 feet. The width of the garden is ___ feet.

The length of the garden is ____ feet.

Answers

Answer 1
Answer:

Answer:

The width of the garden is 12 feet.

The length of the garden is 20 feet.

Step-by-step explanation:

Let l be the length and w be the width

Then according to given statements

l = 2w-4\ \ \ Eqn\ 1

Second equation is:

2l+2w = 64\ \ \ \ Eqn\ 2

Putting l = 2w -4 in equation 2

2(2w-4)+2w = 64\n4w-8+2w = 64\n6w -8 = 64\n6w = 64+8\n6w = 72\n(6w)/(6) = (72)/(6)\nw = 12

Putting w = 12 in equation 1

l = 2(12)-4 = 24-4 = 20

Hence,

The width of the garden is 12 feet.

The length of the garden is 20 feet.


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Determine the intercepts of the line x intercept ...... y intercept ?​

Answers

Answer:

Step-by-step explanation:

x-intercept if when y is 0, so, on the x-axis. as we can see the x-intercept is -40

y-intercept if when x is 0, so, on the y-axis. as we can see the y-intercept is 15

Answer:

x-intercept: (-40,0)

y-intercept: (0,15)

Step-by-step explanation:

The x-intercept is the point where the line meets the x-axis, and the y-intercept is the point on the line which meets the y-axis.

The line intersects the y-axis at 15, so the y-intercept is (0, 15).

The line intersects the x-axis at -40, so the x-intercept is (-40, 0).

Hope this helps :)

Nike is selling packs of socks buy 1 get one 1/2 off. The socks are $17.99a pack. What is your total if you buy 3 packs of socks?
O $36.00
O $44.97
O $27.25
None of the above.

Answers

To calculate the total cost, let's break down the purchases and apply the discount:

Price per pack of socks: $17.99

Buy one pack, get the second one at 1/2 off:

- 1st pack: $17.99

- 2nd pack (1/2 off): $17.99 / 2 = $8.99

Total cost for 2 packs of socks: $17.99 + $8.99 = $26.98

Since you want to buy 3 packs of socks, we'll calculate the total cost:

Total cost for 3 packs of socks: $26.98 x 3 = $80.94

However, none of the provided options match this total. The correct answer is: None of the above.

What annual simple interest rate will increase Johnson Alexander's initial investment of $10,000 to $12,000 in five years?

Answers

The rate for such investment is 4% per annum. This will be computed as follows: $12,000 (Future value of money) less $10,000 ( Present value of money) is equal to $2,000 which will be then divided by 5 years and the it will give us the value of $400 per year. Then $400 will be divided by the $10,000 ( Present value of money) which gives us 4%.

How to solve this system of equation 3x + y= 17 and 4x + 2 y = 20

Answers

3x + y= 17        (a)
4x + 2 y = 20    (b)

Multiply (a) by 2:

6x + 2y = 34   (a)
4x + 2y = 20   (b)

make:   (a) - (b)

2x = 14 -----> x =7

-------------------------------

Replace the value of x = 7 in one of anterior equation:

3x + y= 17  
3 x 7 + y = 17
21 + y = 17
y = 17 - 21
y = -4

During the Age of Exploration, stretching from the 1400s to the 1900s, which of the following regions was the focal point for global trade and exchange of culture? A Option A: Pacific B Option B: Atlantic C Option C: African D Option D: Asian

Answers

Answer:

The correct answer is Option B: Atlantic

Step-by-step explanation:

During the Age of Exploration, stretching from the 1400s to the 1900s, the Atlantic region was the focal point for global trade and exchange of culture.

During the Age of Exploration, the European ships traveled extensively overseas around the world to search new trading routes.

Two friends leave school at the same time, Sarah is heading due north and Beth is heading due east. One hour later they are 10 miles apart. If Sarah had traveled 8 miles from the school, how many miles had Beth traveled?6 miles
10 miles
8 miles
4 miles

Answers

If you picture this scene in your head, you will get a simple 3x4x5 right triangle. 4 times 2 is 8, 5 times 2 is 10, so Sarah should, by now, have traveled 3 times 2 miles.
Final answer: Sarah has traveled 6 miles after an hour.
Hope this helped! :)

Helping tip: The reason it is not 4 is because they are not traveling west and east away from each other. They are traveling north and east, so they are moving in two directions to form a right triangle, and the hypotenuse would be 10 (miles). The side, or distance, that Beth has traveled is 8. So as this is a typical variation of a 3x4x5 triangle, Sarah will have traveled 6 miles.

wouldn't it actually be 2 miles but since its not listed I would say 4 because if there 10 miles apart and Sarah is 8miles from the school were they both started then 10-8=2. or you can take the two and divide it by 8 and get 4