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MrRa [10]
2 years ago
8

A rectangular garden is 15 ft longer than it is wide. Its area is 700 ft. What are its dimensions?

Mathematics
2 answers:
ipn [44]2 years ago
8 0
20ft and 35ft are the dimensions
NARA [144]2 years ago
7 0

Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>

  • The length of rectangular garden is 15 feet longer than its width
  • The area of rectangular garden is 700ft²

<u>To </u><u>find</u><u>:</u><u>-</u>

  • Dimensions of rectangular garden

<u>Solution</u><u>:</u><u>-</u>

According to the question , let the length of rectangular garden be x and width be x + 15

<u>We know ,</u> the formula for area of rectangular garden is <u>L × B</u>

putting the known values ,

700ft.² = X × (X + 15)

700 ft. ² = x² + 15x

x² + 15 x - 700 = 0

<u>By </u><u>factorising</u><u> </u><u>it </u><u>we </u><u>get</u><u> </u><u>,</u><u> </u>x = 20

So , the dimensions of rectangular garden are 20 feet and 35 feet respectively for length and width.

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A car travels 20 mph slower in a bad rain storm than in sunny weather. the car travels the same distance in 2 hrs in sunny weath
ycow [4]
You can create two equations.

"<span>A car travels 20 mph slower in a bad rain storm than in sunny weather."
</span>
\sf x-20=y

Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

"<span>The car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather."

\sf 2x=3y

</span>Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.

\sf \boxed{\sf x-20}=y
\sf 2x=3y\rightarrow2x=3(x-20)

Distribute:

\sf 2x=3x-60

Subtract 3x to both sides:

\sf -x=-60

Divide -1 to both sides:

\sf x=60

So the car goes 60 mph in sunny weather.
5 0
3 years ago
Select the correct answer.
Radda [10]

Answer:

(-1\frac{1}{3}, 4\frac{3}{5})

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = m = \frac{rise}{run} = \frac{2}{1} = 2

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = m = \frac{rise}{run} = -\frac{3}{1} = -3

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

x = \frac{6}{-5} = -1\frac{1}{5}

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

y = -3\frac{-6}{5} + 1

y = \frac{18}{5} + 1

y = \frac{18 + 5}{5}

y = \frac{23}{5}

y = 4\frac{3}{5}

✅The exact solution would be: (-1\frac{1}{3}, 4\frac{3}{5})

3 0
3 years ago
Mel's Furniture received an invoice dated September 27 for 5 bedroom sets at $3,000 each. The invoice indicated a chain discount
LenKa [72]

Answer: $12,916.70

Step-by-step explanation:

Given the following:

Invoice received :

Bedroom set = 5

Cost per set = $3,000

Chain discount = 5/8/3

Freight cost = $200

If Mel pays within the discount period:

Chain discount given = 5/8/3

Therefore, net equivalent price rate equals:

(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =

0.95 × 0.92 × 0.97 = 0.84778

Net price = total cost × 0.84778

($3000 × 5) × 0.84778

$15000 × 0.84778 = $12,716.7

Net equivalent price + FOB Shipping

$12,716.7 + $200 = $12,916.70

5 0
3 years ago
Help please do at 11
Bumek [7]

Answer:

Step-by-step explanation:

area =  \pir^{2}  so it's  \pi7^{2} = 153.938... cm^{2}

circumference is  2\pir =  2*\pi*7 = 43.98229 cm  

8 0
3 years ago
Find the value of x in 18 : 9 = 36 : x?
Misha Larkins [42]

Answer is B Step-by-step explanation:

18/9/ 36

36/ 2

18

8 0
3 years ago
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