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zheka24 [161]
3 years ago
6

Harry the hippo is munching on the lily pads in his pond. When he arrived at the pond, there were 20 lily pads, but he is eating

4 lily pads an hour. Heinrick the hungrier hippo found a better pond with 29 lily pads! He eats 7 lily pads every hour.
Part A.) If Harry and Heinrick start eating at the same time, when will their ponds have the same number of lily pads remaining?

(PLEASE ANSWER THIS ONE)


Part B.) How many lily pads will be left in each pond at the same time.
Mathematics
1 answer:
Lisa [10]3 years ago
4 0

Answer:

After the 3rd hour

8 lily pads

Step-by-step explanation:

This is quite straight forward and require no deep mathematics.

Harry has 20 lily pads to eat and he eats 4 per hour. After the first hour, he eats 4 and he has 16 left. After second hour, he eats another 4 and he has 12 left. After third hour, he eats four and has eight left.

For Hennrick, he has 29 lily pads and he eats 7 per hour. After first hour, he has 22 left. After second hour, he eats another 7 and have 15 left. After 3rd hour, he eats another 7 and has just 8 left.

8 lily pads will be left at the same time

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A circular mirror is surrounded by a square metal frame. The radius of the mirror is 2x. The side length of the metal frame is 8
Schach [20]

Answer:

183.43x2

Step-by-step explanation:

Area of the entire frame = (14x)2 = 196x2

Area of the mirror = pi(2x)2 = 4x2(pi)

Area of the frame surrounding the mirror = (196 - 4pi)x2 = 183.43x2

3 0
2 years ago
Read 2 more answers
Type the correct answer in each box. If necessary, round your answers to the nearest hundredth.
disa [49]

Answer:

Perimeter = 32.44 units

Area = 30 square units

Step-by-step explanation:

Given

Vertices

A(2,8), B(16,2) and C(6,2)

WE have to determine the lengths of all sides before finding the perimeter and area.

The formula of modulus is:

d = \sqrt{(x_{2}- x_{1})^{2} +(y_{2}-y_{1})^{2}}\\AB=\sqrt{(16-2)^{2} +(2-8)^{2}}\\=\sqrt{(14)^{2} +(-6)^{2}}\\=\sqrt{196+36}\\ =\sqrt{232}\\=15.23\\\\BC=\sqrt{(6-16)^{2} +(2-2)^{2}}\\=\sqrt{(-10)^{2} +(0)^{2}}\\=\sqrt{100+0}\\ =\sqrt{100}\\=10\\\\AC=\sqrt{(6-2)^{2} +(2-8)^{2}}\\=\sqrt{(4)^{2} +(-6)^{2}}\\=\sqrt{16+36}\\ =\sqrt{52}\\=7.21\\\\

So the perimeter is:

Perimeter=AB+BC+AC\\=15.23+10+7.21\\=32.44\ units

Using hero's formula,

s=\frac{perimeter}{2}\\s=\frac{32.44}{2}\\ s=16.22\\Area=\sqrt{s(s-a)(s-b)(s-c)}\\=\sqrt{16.22(16.22-15.23)(16.22-10)(16.22-7.21)}\\=\sqrt{(16.22)(0.99)(6.22)(9.01)}\\=\sqrt{899.91}\\=29.99\ square\ units

Rounding off will give us 30 square units ..

4 0
3 years ago
PLZ just do it :( 20 points???
Sedaia [141]

The answer would be A, it has no solution

5 0
3 years ago
Read 2 more answers
2x(squared) + 23x-19=0
Helen [10]
Use quadratic formula

for ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}

given
2x^2+23x-19=0
a=2
b=23
c=-19

x=\frac{-23+/- \sqrt{23^2-4(2)(-19)} }{2(2)}
x=\frac{-23+/- \sqrt{529-152} }{4}
x=\frac{-23+/- \sqrt{377} }{4}

x=\frac{-23+ \sqrt{377} }{4} or \frac{-23- \sqrt{377} }{4}
7 0
3 years ago
Natalie made a nut mixture that contains
Harman [31]

Answer:

50%

Step-by-step explanation:

10 kg of mixed nuts that contain 60% peanuts

60(10)

plus

15 kg of a different brand of mixed nuts. with x% peanuts

x(15)

=

That makes 25 kg with 54% peanuts

54(25)

--------------------------

Equation

60(10) + x(15) = 54(25)

600 + 15x = 1350

Subtract 600 from both sides

15x = 750

Diviede both sides by 15

x = 50

50%

4 0
3 years ago
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