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3 years ago

A square shaped garden has an area of x^2+16+64. if x= 25 feet what is the actual length of the side \

Mathematics

1 answer:

Alex787 [66]3 years ago

4 0

X^2 + 16x + 64
= (x + 8)^2

length of the side = 25+8 = 33 feet

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Solve the x <br> 1/3x + 5> 10

kotykmax [81]

Answer:

The solution to the inequality is:

$\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}$

The solution graph is also attached below.

Step-by-step explanation:

Given

We are given the expression

$\frac{1}{3}x+5>10$

To determine

Solve for x

Given the expression

$\frac{1}{3}x+5>10$

Subtract 5 from both sides

$\frac{1}{3}x+5-5>10-5$

Simplify

$\frac{1}{3}x>5$

Multiply both sides by 3

$3\cdot \frac{1}{3}x>5\cdot \:3$

Simplify

$x>15$

Thus, we conclude that:

$x>15$

Therefore, the solution to the inequality is:

$\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}$

The solution graph is also attached below.

5 0

3 years ago

On the scale drawing of Cold Lake Camp, the mess hall is 5 cm from the lodge. The scale for the map is 2 cm = 100 m.

romanna [79]

Answer:

The answer is 250 meters from the lodge

6 0

3 years ago

A multiplier of 1.641 corresponds to a percentage increase or decrease of what percent?

bezimeni [28]

Answer:

A multiplier of 1.641 corresponds to a percentage increase or decrease of 64.1%.

Step-by-step explanation:

To determine a percentage increase or decrease of a certain number, a calculation consisting of the multiplication of said number by 1 plus the decimals corresponding to the percentage to be increased must be performed. Thus, for example, if you want to increase a number by 50%, you must multiply that number by 1.50. Therefore, if you multiply a number by 1,641, this implies that you are wanting to increase or decrease the initial number by 64.1%.

6 0

3 years ago

What is an equivalent expression to 3(4m-2)-2(m+5)

Pavel [41]

Answer:

10m - 16

It's basically the same thing but simplified to make it easier to solve.

Step-by-step explanation:

3(4m-2)-2(m+5)

Distribution

12m-6-2m-10

Combining Like Terms

10m-16

8 0

3 years ago

Nora and her children went into a grocery store and she bought $11.95 worth of apples and bananas. Each apple cost $1.25 and eac

SIZIF [17.4K]

Answer: apples = 7 and bananas = 8

Step-by-step explanation:

Let x represent the number of apples and y represent the number of banana,

and it was said that the total apples and bananas altogether is 15 , that is

x + y = 15 ................. equation 1

Also,

1.25x + 0.40y = 11.95 ............. equation 2

Solving the two equations simultaneously ,

From the first equation, x = 15 - y ........... equation 3

substitute equation 3 into equation 2, we have

1.25(15 - y) + 0.40y = 11.95

18.75 - 1.25y + 0.40y = 11.95

18.75 - 0.85y = 11.95

18.75 - 11.95 = 0.85y

6.8 = 0.85y

therefore y = 6.8/0.85

= 8

substitute y = 8 , into equation 3

x = 15 - 8

x = 7

Therefore , she bought 7 apples and 8 banana

4 0

3 years ago