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anzhelika [568]

3 years ago

8

For this problem, assume Gwen and Harry have 5 types of cones and 9 flavors of ice cream.

1 answer:

ohaa [14]3 years ago

6 0

Answer: Hello!

In this problem you can chose 3 options:

the type of cone, the first flavour, and the second flavour.

a) In how many different ways can your order one cone and two scoops of ice cream?

You have 5 options for cones, 9 options for the first ball of ice cream, and 9 options for the second ball of ice cream (because you can repeat flavour) then the total number of combinations is the product of this 3 numbers, this is:

5*9*9 = 405 combinations

b) Here we cant order the same flavour of ice cream, then:

we still have 5 options for cones, 9 options for the first ball of ice cream, and this time 8 options for the second ball ( because we need to remove the flavour that we picked in the first ball of ice cream) then the number of combinations is:

5*9*8 = 360 combinations.

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soldier1979 [14.2K]

Write it down.

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3 years ago

Why math even exist people could just like wing it for everything

s2008m [1.1K]

Answer:

- 7 / 4

Step-by-step explanation:

( x1, y1 ) = ( 1, 10 )

Here,

x1 = 1

y1 = 10

( x2, y2 ) = ( 5, 3 )

Here,

x2 = 5

y2 = 3

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 3 - 10 ) / ( 5 - 1 )

Slope = - 7 / 4

Proper fraction = - 7 / 4

8 0

2 years ago

Read 2 more answers

The linear relationship represented by the table has an initial value of 88 and a rate of change -6. Complete the table.

Nimfa-mama [501]

(2,88)
(6,64)
(9,46)
(15,10)
first find y=mx+b
88=-6(2)+b
b=100
y=-6x+100
then plug for y and solve for x or vise versa.
Hopes this loves

8 0

3 years ago

What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

4 0

3 years ago

Three consecutive odd integers have a sum of -3.What are the integers

sergiy2304 [10]

The consecutive integers are -1

7 0

2 years ago