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Tresset [83]
3 years ago
5

Write 120+45 as a product of their GCF and another sum

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

120|2\\.\ 60|2\\.\ 30|2\\.\ 15|3\\.\ \ 5|5\\.\ \ 1|\\\\120=2\cdot2\cdot2\cdot\boxed{3}\cdot\boxed{5}\\\\45|3\\15|3\\.\ 5|5\\.\ 1|\\\\45=\boxed{3}\cdot3\cdot\boxed{5}\\\\GCF(120,\ 45)=\boxed{3}\cdot\boxed{5}=15\\\\120:15=8\\45:15=3\\\\120+45=15\cdot8+15\cdot3=15(8+3)

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Oliver has 3 times as many rocks in his collection as Katie. Then Oliver collected 75 more rocks and Katie collected 105 more ro
Evgesh-ka [11]

Answer:

The answer to your question is Katie had 15 rocks and Oliver 45 rocks.

Step-by-step explanation:

Conditions

Katie has x amount of rocks

Oliver has 3x amount of rocks

The final amount of rocks

                                    Oliver = 3x + 75

                                     Katie = x + 105

Now, they have the same amount of rocks, then we can equal both equations

                                   3x + 75 = x + 105

Solve for x

                                     3x - x = 105 - 75

                                           2x = 30

                                             x = 30/2

                                             x = 15

Conclusions

At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks

5 0
3 years ago
Read 2 more answers
What is the sum of (7x - 6y) and (x plus y)
Ymorist [56]
Heya user

we have

7x - 6y and x + y

according to the question

( 7x - 6y ) + ( x + y )

→ 7x - 6 y +x + y

→ 8x - 5y

Hope This helps you
3 0
3 years ago
Whats the distance between points p1=(-3,5) P2=(4,2)
leva [86]

Step-by-step explanation:

First, find the vector.

= (4,2) - (-3,5)

= (4-(-3),2-5)

= (7,-3)

And then, find the distance.

= √(7² + (-3)²)

= √(49 + 9)

= √58 ✓

3 0
1 year ago
Identify the coordinates of the point (3,-2), translated 5 units left and 6
kap26 [50]

Answer:

(- 2, 4 )

Step-by-step explanation:

A translation of 5 units left means subtract 5 from the original x- coordinate.

A translation of 6 units up means add 6 to the original y- coordinate.

Thus

(3, - 2 ) → (3- 5, - 2 + 6 ) → (- 2, 4 )

3 0
3 years ago
HELP ASAP!! FIND THE AREA FOR THIS SHAPE
yulyashka [42]

Answer:

36

Step-by-step explanation:

Length * Width so 9*4=36

7 0
2 years ago
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