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zlopas [31]
2 years ago
6

A rectangular rug has a perimeter of 220 feet. The width of the rug is two feet less than the length. Find the length and the wi

dth.
Mathematics
1 answer:
Gekata [30.6K]2 years ago
7 0

Answer:

The length is 56 and the width is 54.

Step-by-step explanation:

The perimeter of a rectangle is 2x+2y (width and length on both sides). so 2x+2y=220. Also x=y-2, because the width is 2 feet less than the length. Fill x=y-2 in 2x+2y=220 and we get 2(y-2)+2y=220. 2y-4+2y=220. 4y=216. y=54. Fill in y=54 in 2x+2y=220 and we get 2x+2(54)=220. 2x=220-2(54)=112. x=56.

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In a appropriate environment, guppies reproduce at an astounding rate. A population of reproducing guppies quadruples every mont
Marianna [84]
If the guppies multiply by four in six months then that 4 raised to the power of six. Then multiply it with the starting number of guppies which is 6Formula=4^6 (6)4096 x 6= 24576
So, there are 24, 576 guppies in six months. The answer is A.
3 0
2 years ago
write an equation in slope-intercept form for the line that passes through (-2,5) and is perpendicular to the line described by
Rama09 [41]

Answer:

<h2>         y = ¹/₂x + 6</h2>

Step-by-step explanation:

The product of slopes of perpendicular lines is -1

y = - 2x + 6  ⇒   m₁ = - 2

m₁m₂ = -1

-2m₂ = -1

m₂ = ⁻¹/₋₂ = ¹/₂

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = ¹/₂

(-2, 5)  ⇒  x₁ = -2,  y₁ = 5

So the equation in point-slope form:

                                                  y - 5 = ¹/₂(x - (-2))

Therefore:

y - 5 = ¹/₂x + 1

y = ¹/₂x + 1 + 5

<h3>y = ¹/₂x + 6</h3>
4 0
2 years ago
AKAJAXOSPAPXODAOAPA HELP
Leya [2.2K]

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

<em>I </em><em>multiplied</em><em> </em><em>everything</em><em> </em><em>by </em><em>100 </em><em>to </em><em>eliminate</em><em> </em><em>the</em><em> </em><em>decimals</em><em>.</em>

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. <em>I </em><em>used </em><em><u>r </u></em><em>so </em><em>as </em><em>not</em><em> to</em><em> </em><em>mix </em><em>up </em><em>o </em><em>with </em><em>0</em><em>.</em><em> </em>

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

7 0
2 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
barxatty [35]

Step-by-step explanation:

I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.

y = -16x² + 64x + 89

shows us that the tower is 89 ft tall (the result for x = 0, at the start).

anyway, if the original assumption is correct, then we need to solve

0 = -16x² + 64x + 89

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/)2a)

in our case

a = -16

b = 64

c = 89

x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =

= (-64 ± sqrt(4096 + 5696))/-32 =

= (-64 ± sqrt(9792))/-32

x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s

x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s

the negative solution for time is but useful here (it would be the time calculated back to ground at the start).

so, x2 is our solution.

the rocket hits the ground after about 5.09 seconds.

5 0
2 years ago
X+3/x-2 - 1-x/x =17/4<br>find the x with methods​
Archy [21]

Step-by-step explanation:

x+3/x-2 - 1-x/x= 17/4

now let's put the expression on the upper side so it I'll be

x+3-x-2-1-x-x= 17×14

x-x-x-x+3-2-1= 238

+3-3= 238

= 238 answer

7 0
2 years ago
Read 2 more answers
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