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Arlecino [84]
2 years ago
5

19.

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
6 0

Answer:

1/8

Step-by-step explanation:

Sara: 3/8+1/4=5/8

Jon: 1/2+1/4=6/8

6/8-5/8=1/8

1/8 more pizza Jon ate than Sara

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A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 1:2 If A is at (6,3) and B is at (-1,2), what are
Maksim231197 [3]

Answer:

The coordinates of C is (-8,1)

Step-by-step explanation:

Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.

Now let's assume the coordinates of C is (x,y).

To get it's coordinates, we use the section formula:

(x,y)= (\frac{mx + nx_{1}}{m + n} , \frac{my + ny_{1}}{m + n})

Where (m,n) is the (AB, BC)

Therefore we have

(-1,2) = (\frac{1\times x + 1\times6}{1 + 1} , \frac{1\times y + 1\times3}{1 + 1})

This gives:

(-1,2) = (\frac{x + 6}{2} , \frac{y + 3}{2})

-1 =( \frac{x + 6}{2} and 2 = \frac{y + 3}{2})

From there x = -8 and y = 1

Therefore the coordinates of C is (-8, 1).

7 0
4 years ago
Solve the linear inequality below.
quester [9]

Answer:

x > 3

Step-by-step explanation:

6 0
3 years ago
What is the sum of all of the perfect squares between
Nonamiya [84]

Answer:

(-138) is the answer.

Step-by-step explanation:

Perfect square numbers between 15 and 25 inclusive are 16 and 25.

Sum of perfect square numbers 16 and 25 = 16 + 25 = 41

Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.

Since sum of an arithmetic progression is defined by the expression

S_{n}=\frac{n}{2}[2a+(n-1)d]

Where n = number of terms

a = first term of the sequence

d = common difference

S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]

   = 4(34 + 7)

   = 164

Sum of 15 + S_{8} = 15 + 164 = 179

Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = 41-179

= -138

Therefore, answer is (-138).

7 0
3 years ago
javon is helping his dad build a tree house. he has a piece of trim that is 13 ft long. how many pieces can Javon cut that are 1
wel
Well a yard is 3 ft
so  divide 3 into 13
3 goes into 13 4 times and you get 12
you have 4 whole yards and 1 ft left or 1/3 of a yard.
:) hoped this helped

6 0
4 years ago
Read 2 more answers
WILL GIVE BRAINLIEST
luda_lava [24]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
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