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3 years ago

the area of a rectangular dog pen is 8 1/2 square feet. if the width is 3 2/5, what is the length, in feet?

Mathematics

1 answer:

kvv77 [185]3 years ago

7 0

Answer:

2 1/2 or 2.5

Step-by-step explanation:

The area is the length times the width. To solve for the length, you have this equation using the data you already have. 8 1/2 = 3 2/5 x length. 8 1/2 / 3 2/5 = length. 8.5/3.4 = length. length = 2.5 OR to do this fraction wise, you can make them fractions and divide, making 8/1 -> 16/2 + 1/2 = 17/2 and 3/1 - 15/5 + 2/5 = 17/5 and divide those, which ends up at 2 1/2 but fraction wise makes it more complicated

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The perimeter of a rectangle is 18cm . if the length is (x+2), find it's width.

irga5000 [103]

Answer:

W = 7 - x

Step-by-step explanation:

The perimeter is P= 2L + 2×W , where L is the length and W is the width.

If L = (x+2) , replacing L with the expression x+2 we have

P= 2×(X+2) + 2W ⇔ 18 = 2x + 4 + 2W ⇔ 2W =18 - 2x - 4 ⇔ 2W = 14 - 2x

⇔ W = 7 - x

4 0

3 years ago

Write the equation in slope-intercept form of the line passing through (2,7) and (-5,2).

sasho [114]

Hello!

Explanation:

Slope-intercept form: → $y=mx+b$

m: represents the slope and is constant.

b: represents the y-intercept.

Rise/run.

$m=\frac{rise}{run}$

$x^1,y^1=(2,7)$

$x^2,y^2=(-5,2)$

$\frac{2-7=-5}{(-5)-2=-7}= \frac{-5}{-7}$

$\frac{-5}{-7}=0.714$

Y-intercept is -7

But the slope is -5.

Answer: → 0.714

Hope this helps!

3 0

4 years ago

Read 2 more answers

Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a ga

Allushta [10]

Answer:

Distance between Gas Station and House = 7.81 miles.

Step-by-step explanation:

Given: House location ( 4, 3 ) and Gas station location ( 10, 8)

On graph 1 unit = 1 mile.

To find: Distance between Gas Station and House

We use the Distance formula to find the distance between two points $(x_1,y_1)\:and\:(x_2,y_2)$

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From given points and formula,

$Distance\:between\:house\:and\:gas\:station=\sqrt{(10-4)^2+(8-3)^2}$

= $\sqrt{(6)^2+(5)^2}$

= $\sqrt{36+25}$

= $\sqrt{61}$ units

Since, 1 unit = 1 mile

⇒ $\sqrt{61}\:unit=\sqrt{61}miles=7.81 miles$

Therefore, Distance between Gas Station and House = 7.81 miles.

5 0

3 years ago

Read 2 more answers

A boat travels 45 miles upstream (against the current) in 5 hours. The boat travels the same distance downstream in 3 hours. Wha

Leona [35]

R=rate of boat in still water
c=rate of current
d=rt
since you're given that the time it takes to travel the same distance downstream and upstream, your equation will be d_1=d_2, or rt=rt
the rate upstream is r-c and the rate downstream is r+c (because the boat's and river's rates add up)
since you know t_1 and t_1 are 5 and 3, you can now set up 2 equations
5*(r-c)=45 because (time upstream)*(rate upstream)=distance=45 miles
r-c=45/5=9
3*(r+c)=45
r+c=45/3=15
r-c=9 and r+c=15, so r=12 mi/h and c=3 mi/h
If you have any questions please ask

3 0

3 years ago

Evaluate the expression 12-3x+4(10-2 cubed) for x=2/3

suter [353]

12 - 3x + 4 ( 10 - 2^3 )
12 - 3 ( 2/3 ) + 4 ( 10 - 2^3 )
12 - 2 + 4 ( 10 - 8 )
12 - 2 + 40 - 32
10 + 8
18

4 0

3 years ago