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Vika [28.1K]
3 years ago
10

A basket contains 11 pieces of fruit: 4 apples, 4 oranges, and 3 bananas. Jonas takes a piece of fruit at random from the basket

, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?
Mathematics
1 answer:
dybincka [34]3 years ago
8 0
|\Omega|=11\cdot10=110\\
|A|=4\cdot4=16\\\\
P(A)=\dfrac{16}{110}=\dfrac{8}{55}
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Anita is years older than Basilio. Three times Anita's age added to six times Basilio's age is 36. 1. Define the variables 2. Cr
Scilla [17]

Answer :Anita's age = 7 years

Basilio's age = 2.5 years

Step 1. Assign variables to Anita's and Basilio's ages.

Anita's age = A

Basilio's age = B

 

Step 2. Use the information given to form two equations.

Anita is 4-1/2 years older than Basilio

A = 4.5 + B

 

Three times Anita's age added to six times Basilio's age is 36

3A + 6B = 36

 

Step 3. Substitute the value of A from first equation in to the second equation and solve for B

3(4.5 + B) + 6B = 36

13.5 + 3B + 6B = 36

13.5 + 9B = 36

9B = 36 - 13.5

9B = 22.5

B = 22.5/9 = 2.5

 

Step 4. Find the value of A

A = 4.5 + 2.5 = 7

 

Answer:

Anita's age = 7 years

Basilio's age = 2.5 years

6 0
2 years ago
Area of a triangle with verticals of (-4,1),(-7,5),(0,1)
Lynna [10]

Answer:

8 ft^2

Step-by-step explanation:

I assume that the three points given are the vertices of the triangle. So the three points are:

A (-4,1)

B (-7,5)

C (0,1)

The area of a triangle is given by:

A=\frac{1}{2}bh

where b is the base and h is the height.

Here we can take as follows:

- We can take the base to be the side AC, so that its length is equal to the distance between the two points:

AC=\sqrt{(0-(-4))^2+(1-1)^2}=4

- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:

h=(5-1)=4 ft

Therefore, the area of the triangle is:

A=\frac{1}{2}(4)(4)=8 ft^2

7 0
2 years ago
Apples are 94 cents a pound, and pears are $1.22 a pound. write an expression for the total cost, in dollars, of a pounds of app
sineoko [7]
1 apple: 94 cents = 0.94 dollars
a apples: 0.94 ×a= 0.94a
p pears: 1.22× p= 1.22p
total: 1.22p + 0.94a
hope it helps!
4 0
3 years ago
Read 2 more answers
X + 6y = 2 4x - 3y = 10 Pick the first step to solving this system of equations using the addition method.
podryga [215]
<span>This one is the correct answer----->Multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together.

</span><span>X + 6y = 2 ....top
</span><span>4x - 3y = 10...bottom

if we multiply the bottom equation by 2 .......... =>  8x - 6y = 20
if we add it to the top one..........>(8+1)x +(6-6)y = (20+2)
then we solve for x =>   x = 22/9 

then with the top equation, we solve for y == >  y = -2/27</span>
4 0
3 years ago
I don’t know how to find the surface area?
Lerok [7]

Answer:

Step-by-step explanation:

its just writing teh answwer out and then solving

8 0
2 years ago
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