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kondor19780726 [428]

3 years ago

8

Jason has volunteered at the pet shelter 3 more times than keith. Jason has volunteered 12 times. which equation represents this

situation?

1 answer:

Darya [45]3 years ago

4 0

X= times keith volunteered
$12 = 3x$

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The Garden Task

Igoryamba

If the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:

the perimeter = 24 ft
the area = 36 sq. ft
if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
if the area of the garden is doubled, the area of the new garden = 72 sq. ft

<em><u>Recall</u></em>:

A square has equal side lengths
Perimeter of a square = 4(side length)
Area of a square = $(side $ length)^2$

<em><u>Given:</u></em>

Perimeter of square (P) = $(14x - 32) $ ft$

Side length (s) = $(x + 2) $ ft$

<em><u>First, let's find the </u></em><em><u>value of x</u></em><em><u> by creating an </u></em><em><u>equation </u></em><em><u>using the </u></em><em><u>perimeter </u></em><em><u>formula:</u></em>

Perimeter of a square = 4(side length)

Plug in the values

$(14x - 32) = 4(x + 2)$

Solve for x

$14x - 32 = 4x + 8\\\\14x - 4x = 32 + 8\\\\10x = 40\\\\x = 4$

<em><u>Find how much fencing would be needed (</u></em><em><u>Perimeter </u></em><em><u>of the fence):</u></em>

Perimeter of the fence = $(14x - 32) $ ft$

Plug in the value of x

Perimeter of the fence = $14(4) - 32 = 24 $ ft$

<em><u>Find the </u></em><em><u>area </u></em><em><u>of the garden:</u></em>

Area of the garden = $(side $ length)^2$

Area = $(x + 2)^2$

Plug in the value of x

Area = $(4 + 2)^2 = 6^2 = 36 $ ft^2$

<u><em>Find the </em></u><u><em>perimeter </em></u><u><em>if the garden size is doubled:</em></u>

Perimeter of the new garden = 2 x 24 = 48 ft

<em><u>Find the </u></em><em><u>area </u></em><em><u>if the garden size is doubled:</u></em>

Perimeter of the new garden = 2 x 36 = 72 sq. ft

In summary, if the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:

the perimeter = 24 ft
the area = 36 sq. ft
if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
if the area of the garden is doubled, the area of the new garden = 72 sq. ft

Learn more here:

brainly.com/question/13511952

4 0

2 years ago

Maureen is taking an antibiotic. The table below shows the amount of antibiotic f(t), in mg, that was present in her body after

MariettaO [177]

One way to test this is by using the equation for Ken on Maureen. Let's say in the first hour,

f(t) = 200(0.976)^1 = 195.2 mg

In the second hour,

f(t) = 200(0.976)^2 = 190.52 mg

In the third hour,

f(t) = 200(0.976)^3 = 186 mg

If you compare this with Maureen's data which is 150, 90 and 54 for the first, second and third hour, respectively, you will see that Maureen's rate is much faster. However, you cannot tell by what factor because the function is exponential, not a multiple. There is no constant difference between their rates. Therefore, we only know that Maureen's rate is much faster.

The answer is <span>Maureen's body eliminated the antibiotic faster than Ken's body.</span>

3 0

3 years ago

In the figure below, 7 || h. Find the values of y and x.<br> 630<br> 3 x<br> 150 /yº

VikaD [51]

Answer:

jahaheueidirjirreieir8e9r8r

6 0

3 years ago

What is the square root of negative 40

Gennadij [26K]

Answer:

Step-by-step explanation:

You cant do a square root for a negative number.

4 0

3 years ago

The cost of making a cheese cake is RM45. In

mars1129 [50]

Answer:

CHEESE

Step-by-step explanation:

SKDMALSD

3 0

3 years ago