PLEASE HELP!!!!!!!!!(Finding Area Using Triangles and Rectangles HC)

A gardener is building a flower garden with a border of mulch around it. A model of the design is shown.

A large rectangle with dimensions of 10.5 feet by 16 feet. A smaller rectangle with dimensions of 5.5 feet by 8 feet inside of the larger one.

Part A: Find the area of the mulch border that surrounds the 5.5 ft by 8 ft flower garden. Show all work.

Part B: If the mulch cost $3.64 per sq ft, how much will the mulch for this project cost? Show all work.

Answers

Answer 1

Answer:

Answer:

Part A:

To find the area of the mulch border, we need to subtract the area of the smaller rectangle (flower garden) from the area of the larger rectangle.

The area of the larger rectangle is given by:

Area = length * width = 10.5 ft * 16 ft = 168 sq ft

The area of the smaller rectangle (flower garden) is given by:

Area = length * width = 5.5 ft * 8 ft = 44 sq ft

Therefore, the area of the mulch border is:

Area of mulch border = Area of larger rectangle - Area of smaller rectangle

Area of mulch border = 168 sq ft - 44 sq ft = 124 sq ft

Part B:

To find the cost of the mulch for this project, we need to multiply the area of the mulch border by the cost per square foot.

Cost of mulch = Area of mulch border * Cost per sq ft

Cost of mulch = 124 sq ft * $3.64/sq ft

Multiplying the values gives:

Cost of mulch = $451.36

Therefore, the mulch for this project will cost $451.36.

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Three quarters of the boats in the marina are white. 4/7 of the remaining boats are blue, and the rest are red. If there are 9 red boats, how many boats are in the marina?

Answers

Answer: 84

Step-by-step explanation:

Let the total number of boats on the marina be x.

Then, The number of white boats= $(3)/(4)x$

then the remaining boats= $x-(3x)/(4)=(x)/(4)$

Now, 4/7 of the remaining boats are blue.

Thus, the number of blue boats= $(4)/(7)*(x)/(4)=(x)/(7)$

The rest of the boats (red boats)= $(x)/(4)-(x)/(7)=(7x-4x)/(28)=(3x)/(28)$

The number of red boats=9

Thus,

$(3x)/(28)=9\n\Rightarrow\ x=(28*9)/(3)\n\Rightarrow\ x=84$

The total number of boats in the marine = 84

There are 84 boats in the marina

Further explanation

Fraction numbers are known as numerator and denominator

On a number line, fractions are expressed in points that lie between two integers

The general form of fractions is

$\large{\boxed{\bold{(a)/(b)} }$

a = numerator

b = denominator

Mixed fractions consist of whole number and proper fractions

There are a number of steps in adding fraction operations

1. the denominators must be the same, if not then

a. Multiply top and bottom of each fraction by the denominator of the other. or

b. we can use Least Common Denominator which is the smallest of all the common denominators.

2. Add the numerators and put over the denominator

3. Simplify the fraction

There are several steps to multiply fractions

1. Multiply the numerators
2. Multiply the denominators
3. Simplify the fraction

Three quarters of the boats in the marina are white

we translate this sentence into equation:

Let x = total boats

$\displaystyle white~boat=\boxed{(3)/(4)x}$

$(4)/(7)$ of the remaining boats are blue

$\displaystyle remaining~boat=x~-(3)/(4)x=(1)/(4)x$

$\displaystyle blue~boat=(4)/(7)*(1)/(4)x=(4)/(28)x=(1)/(7)x$

total boats

$\displaystyle total~boats=x=(3)/(4)x+(1)/(7)x+9$

Because the denominator is not the same, so we can use both multiplying or least common denominator.

let we use least common denominator:

List multiples of 7: 7, 14, 21,28,...

List multiples of 4: 4, 8, 12, 16, 20,24,28, ...

the smallest number that is the same: = 28

then addition operation becomes :

$\displaystyle (21)/(28)x+(4)/(28)x+9=x$

$\displaystyle (25)/(28)x+9=x$

$\displaystyle (3)/(28)x=9$

$\large{\boxed{\boxed{\bold{x=84}}}$

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Keywords : boats, marina, fractions

A girl weighs 58 as much as her brother does. If the girl weighs 110 lb, how much does her brother weigh?

Answers

110 divided by 5 = 22

22 x 8 = 176

176 lbs is the brother's weight.

Hope this helps!

$290, 12.5%, 6 months

Answers

The information shown here only shows a principal sum, a rate of interest and a period or time. There is no question as to what is needed. But suppose the need is for simple interest, then we calculate using the given information and the formula:I = PRTwhere I is simple interest, P is the principal, R is the rate per year, and T is timeP = 290, T is 6 months which is 0.5 years, R = 12.5 % which is written as 0.125 in decimal fraction.I = 290 × 0.125 x 0.5 → I = 18.125Therefore after 6 months , the interest earned will be 18. 125 dollars

A.
Which diagram shows 1 and 2 as vertical angles? A,b,c or d?

Answers

C. Vertical angles are the angles on opposite sides of intersecting lines.

1. Mandy kept track of the trade-in value of a collector’s coin for several months through February of this year. She determined the line of best fit for the data was y = 4x + 12, where y is the trade-in value, in dollars, x months after February of this year. According to the equation, when will the trade-in value of the coin be $44? a) December of the same year
b) October of the same year
c) April of the following year
d) June of the following year

Answers

44 = 4x + 12 32 = 4x X = 8 months after February = October of the same year. That's choice (b).

A little help plz. thx

Answers

The answer is y=1.09+x

It would be a

How i know

If you add 1.09 3 times then it would give you 3.37 and the y is representing as 1 if you did 1y thats doing extra work

Soo a) y=1.09x

Hope this helped pls brainlist i would apprectiate it :)

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