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Usimov [2.4K]
2 years ago
6

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of t

he sand dune after x years. Which equation represents the situation? y = negative StartFraction 1 Over 20 EndFraction x minus 5 y = negative StartFraction 1 Over 20 EndFraction x + 5 y = negative 20 x minus 5 y = negative 20 x + 5
Mathematics
2 answers:
sergejj [24]2 years ago
8 0

Answer:

y = 1/20 x + 5

Step-by-step explanation:

Let the height of the sand dune after x years be represented by the equation

y = mx+c where;

m is the rate at which the hills is eroding

c is the height of the dunes above the sea

If The hill is eroding at a rate of 1 foot per 20 years,then the rate of eroding per year will be;

1foot = 20years

m = 1year

Cross multiply

20m = 1

m = 1/20 foot/yr...

c = 5foot

Substitute into the formula:

y = 1/20 x + 5

Hence the equation that represent the situation is y = 1/20 x + 5

Lilit [14]2 years ago
5 0

Answer:y = 1/20 x + 5

Step-by-step explanation:

Let the height of the sand dune after x years be represented by the equation

y = mx+c where;

m is the rate at which the hills is eroding

c is the height of the dunes above the sea

If The hill is eroding at a rate of 1 foot per 20 years,then the rate of eroding per year will be;

1foot = 20years

m = 1year

Cross multiply

20m = 1

m = 1/20 foot/yr...

c = 5foot

Substitute into the formula:

y = 1/20 x + 5

Hence the equation that represent the situation is y = 1/20 x + 5

Step-by-step explanation:

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Wyatt went to soda city to get vegetables for herself and her friends. She collected $30 and boxes are $10 each. Fill in the equ
sergey [27]

Answer:

Budget = 3 b

Step-by-step explanation:

Given

Budget = \$30

Cost\ of\ box (b) = \$10

Required

Represent as an equation;

Budget = \$30

Expand the above

Budget = 3 * \$10

<em>Recall that b = $10 ----given</em>

Budget = 3 * \$10 becomes

Budget = 3 * b

Budget = 3 b

7 0
1 year ago
Solve for x in the equation x^2+10x+12=36
Elan Coil [88]
I am going to put the all math work for the answer of this question, but if you need an explanation for how i got each step let me know and i will provide that for you
x^2 +10x + 12 = 36
x^2 + 10x + 12 - 36 = 0
x^2 +12x - 2x - 24 = 0
x(x + 12) - 2(x +12) = 0
(x + 12) x (x - 2) = 0
x + 12 = 0
x - 2 = 0
x = -12
x = 2
your answer for the first x is x = -12, and your answer for the second x will be
x = 2 
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4 0
1 year ago
Read 2 more answers
Given: PRST square
Zigmanuir [339]

Answer:

7a²/16

Step-by-step explanation:

Area of the triangle PTS

½ × a × a

a²/2

Length of PS:

sqrt(a² + a²)

asqrt(2)

Length of MS:

¼asqrt(2)

Triangles MCS and TPS are similar

With sides in the ratio:

¼asqrt(2) : a

sqrt(2)/4 : 1

Area of triangle SMC:

A/(a²/2) = [(sqrt(2)/4)]²

2A/a² = 1/8

A = a²/16

Area of PTMC

= a²/2 - a²/16

= 7a²/16

Step-by-step explanation:

4 0
1 year ago
Read 2 more answers
Triangle G E F is shown. Angle G E F is a right angle. The length of hypotenuse F G is 14.5 and the length of F E is 11.9. Angle
jekas [21]

Answer:

B. cos−1(StartFraction 11.9 Over 14.5 EndFraction) = θ

Step-by-step explanation:

From definition:

cos(θ) = adjacent/hypotenuse

The adjacent side respect angle GFE (or θ) is side FE, and side FG is the hypotenuse. Replacing with data and isolating θ:

cos(θ) = 11.9/14.5

θ = cos^-1(11.9/14.5)

3 0
1 year ago
Read 2 more answers
Your school wants to take out an ad in the paper congratulating the basketball team on a successful​ season, as shown to the rig
Serga [27]

Answer:

1.4in

Step-by-step explanation:

Length of Photo = 4in

Width of Photo = 3in

Unknown:

Value of X = ?

Solution:

Follow these steps:

  Area of a rectangle  = l x w

Since the photo is a rectangle; area of photo:

  Area of photo  = 4in x 3in = 12in²

For the area of the ad;

   Length of ad  = 4 + x

   Width of ad = 3 + x

Given that,

                  the area of the photo  = \frac{1}{2} area of ad

                           12in²  = \frac{1}{2} area of ad

                   Area of ad  = 24in²

Area of the ad;

             (4 + x) (3 + x)  = 24

               12 + 4x + 3x + x² = 24

                12 + 7x + x²  = 24

                       x² + 7x = 24 - 12

                       x² + 7x = 12

                     x² + 7x - 12  = 0

            Using the almighty formula where

     a  = 1, b = 7 and c = -12

          x  = \frac{-b (+/-) \sqrt{b^{2} } - 4ac}{2a}

     

          x = \frac{-7 + \sqrt[]{-7^{2} - 4x1x-12 } }{2x1}   or \frac{-7 - \sqrt[]{-7^{2} - 4x1x-12 } }{2x1}

          x  = 1.4  or  -8.4

therefore the answer is 1.4in

x is 1.4in

4 0
1 year ago
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