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Ymorist [56]
3 years ago
12

Yolanda participated In a walkathon in which each kilometer walked raised $10 for charity, her goal was to raise more more than

$300 on Saturday and Sunday she raised $50 on Saturday which inequality is it?
Mathematics
2 answers:
Daniel [21]3 years ago
8 0
X= amount of money needed on sunday

50+x(greater or equal to)300
labwork [276]3 years ago
7 0

Answer: The required inequality will be 50+x>$300

Step-by-step explanation:

Since we have given that

Amount raised for charity = $10

Amount raised on Saturday = $50

Amount raised on both Saturday and Sunday is more than $300.

Let the amount raised on Sunday be 'x'.

So, Inequality becomes,

Saturday + Sunday > $300

50+x>$300

x>$300-$50

x>$250

So, On Sunday he must raised more than $250.

Hence, the required inequality will be

50+x>$300

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vodomira [7]

Answer: x= 3

Step-by-step explanation:

2x + 5 = 11

2x = 6

x = 3

5 0
3 years ago
Read 2 more answers
11. If f(x)=4x-9, what is the equation for f^-1(x)?
FrozenT [24]
F(x) = 4x - 9

let f(x) = y, this implies that  x = f⁻¹(y)

y = 4x - 9           Let us solve for x.

4x - 9 = y

4x = y + 9

x = (y + 9)/4

Recall that x = f⁻¹(y),

x = (y + 9)/4

f⁻¹(y) = (y + 9)/4

That means that for f⁻¹(x)

f⁻¹(x) = (x + 9)/4

Hope this explains it.
3 0
3 years ago
Explain the term <br><img src="https://tex.z-dn.net/?f=%20%5Cmathbb%20%7B%5Cgreen%7Babolute%20%5C%3A%20%7B%20%5Cpink%7Bmeasure%7
Setler [38]

Answer:

<h2> abolute measure </h2>

  • it is quantity measured and same unit data and also as an original data it's is an original data expressed and unit of series

<h2>range </h2>

  • largest value difference to smallest value in data

<h2>Quartiles </h2>

  • it is an semi and half of range

<h2>mean </h2>
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3 0
2 years ago
The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect
ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}

Now the points  A(−3, 4) and  B(7, 2)

AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}

AB = \sqrt{(10)^{2} +(-2)^{2}}

AB = \sqrt{100+4}

AB = \sqrt{104}

AB = 2\sqrt{26}\units

Thus

CD= 2\sqrt{26}\units

Now the points

A (−3, 4) , D (−4, −1)

AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}

AD = \sqrt{(-1)^{2} +(-5)^{2}}

AD = \sqrt{1 + 25}

AD = \sqrt{26}\units

Thus

BC = \sqrt{26}\units  

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

Length = 2\sqrt{26}\ units

Breadth = \sqrt{26}\ units  

Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})

Perimeter\ of\ rectangle = 2(3\sqrt{26})

Perimeter\ of\ rectangle = 6\sqrt{26}

\sqrt{26} = 5.1 (Approx)

Perimeter\ of\ rectangle = 6\times 5.1

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0
3 years ago
A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.
noname [10]

Answer:

Width = 4ft

Height = 4ft

Length = 8ft

Step-by-step explanation:

Given

Volume = 128ft^3

L = 2W

Base\ Cost = \$9/ft^2

Sides\ Cost = \$6/ft^2

Required

The dimension that minimizes the cost

The volume is:

Volume = LWH

This gives:

128 = LWH

Substitute L = 2W

128 = 2W * WH

128 = 2W^2H

Make H the subject

H = \frac{128}{2W^2}

H = \frac{64}{W^2}

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

A = LW + 2(WH + LH)

The cost is:

Cost = 9 * LW + 6 * 2(WH + LH)

Cost = 9 * LW + 12(WH + LH)

Cost = 9 * LW + 12H(W + L)

Substitute: H = \frac{64}{W^2} and L = 2W

Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)

Cost =18W^2 +  \frac{768}{W^2}*3W

Cost =18W^2 +  \frac{2304}{W}

To minimize the cost, we differentiate

C' =2*18W +  -1 * 2304W^{-2}

Then set to 0

2*18W +  -1 * 2304W^{-2} =0

36W - 2304W^{-2} =0

Rewrite as:

36W = 2304W^{-2}

Divide both sides by W

36 = 2304W^{-3}

Rewrite as:

36 = \frac{2304}{W^3}

Solve for W^3

W^3 = \frac{2304}{36}

W^3 = 64

Take cube roots

W = 4

Recall that:

L = 2W

L = 2 * 4

L = 8

H = \frac{64}{W^2}

H = \frac{64}{4^2}

H = \frac{64}{16}

H = 4

Hence, the dimension that minimizes the cost is:

Width = 4ft

Height = 4ft

Length = 8ft

8 0
2 years ago
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