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3 years ago

12

A rectangular flower garden in Samantha's backyard has 220 feet around its edge. The width of the garden is 50 feet. What is the

length of the garden? The length of the garden is feet.

1 answer:

Ede4ka [16]3 years ago

4 0

Answer: 60 ft

Step-by-step explanation:

Given

The perimeter of the garden is $220\ ft$

The width of the garden is $50\ ft$

Suppose the length of the garden is $x$

Perimeter is the sum of the lengths of the sides

$\Rightarrow 220=2(x+50)\\\Rightarrow 110=x+50\\\Rightarrow x=60\ ft$

So, the length of the garden is $60\ ft$

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If mABC= 116’ what is m ABC

Vikentia [17]

$\displaystyle\bf\\\textbf{The 2 notations are equivalent.}\\\\The~notation:~"m\widehat{ABC}"~is~equivalent~to~the~notation:~"m\angle\,ABC".\\\\\implies~~\boxed{\bf~m\angle\,ABC=m\widehat{ABC}=116^o}$

4 0

3 years ago

Chloe purchased some dried mango and dried kiwi to make some trail mix. The dried mango cost $2.11 per pound and the dried kiwi

andreev551 [17]

Answer:

Number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

Step-by-step explanation:

Total number of pounds of dried fruit purchased = 10

Let number of pounds of dried mango purchased = $x$

Let number of pounds of dried kiwi purchased be = $y$

Total weight of dried fruits purchased = $x+y$

So, we have a sum equation as:

$x+y=10$

Total cost of dried fruits = $40.34

Cost of a pound of dried mango = $2.11

Cost of $x$ pounds of dried mango in dollars can be given as = $2.11x$

Cost of a dried kiwi = $5.07

Cost of $y$ pounds of dried kiwi in dollars can be given as = $5.07y$

Total cost of dried fruits in dollars = $2.11x+5.07y$

So, we have a cost equation as:

$2.11x+5.07y=40.34$

The system of equations is :

A) $x+y=10$

B) $2.11x+5.07y=40.34$

Solving by substitution.

Rearranging equation A, to solve for $y$ in terms of $x$

Subtracting both sides by $x$

$x+y-x=10-x$

$y=10-x$

Substituting value of $y$ we got from A into equation B.

$2.11x+5.07(10-x)=40.34$

Using distribution.

$2.11x+50.7-5.07x=40.34$

Simplifying.

$-2.96x+50.7=40.34$

Subtracting both sides by 50.7.

$-2.96x+50.7-50.7=40.34-50.7$

$-2.96x=-10.36$

Dividing both sides by -2.96.

$\frac{-2.96x}{-2.96}=\frac{-10.36}{-2.96}$

∴ $x=3.5$

We can plugin $x=3.5$ in the rearranged equation A to get value of $y$

$y=10-3.5$

∴ $y=6.5$

So, number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

5 0

3 years ago

Your state charges 5% sales tax on nonfood items. You're buying a light bulb for $3.00, cereal for

dimulka [17.4K]

We first add the tax to the non-food items. We have ($3.00+$.50)*1.05=($3.50)*1.05=$3.675 (Which can be rounded up to $3.68, since we can't have a fraction of a cent).

Now, we add the cost of the food to $3.68. As a result, we have $3.68+$2.50=$6.18 as the total bill.

6 0

3 years ago

Please help this is hard

Vladimir [108]

Answer:

10x-15y

Step-by-step explanation:

5(2x-3y)

10x-15y

3 0

2 years ago

A rectangle has a length of (x + 4) centimeters and a width of 12x centimeters. If the perimeter is 26 centimeters, what is the

mars1129 [50]

Width of rectangle is 8.4 cm

Step-by-step explanation:

Length of rectangle = x+4

Width of rectangle = 12x

Perimeter = 26 cm

We need to find width of rectangle.

The formula used is:

$Perimeter=2(length+width)$

Putting values and finding x first:

$Perimeter=2(length+width)$

$26=2(x+4+12x)$

$26=2(13x+4)$

$26=26x+8$

$26-8=26x$

$26x=18$

$x=\frac{18}{26}$

$x=0.7$

So, value of x is 0.7

Now width= 12x = 12(0.7)

=8.4 cm

So, width of rectangle is 8.4 cm.

Keywords: Perimeter of Rectangle

Learn more about perimeter of rectangle at:

#learnwithBrainly

5 0

3 years ago