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anyanavicka [17]
2 years ago
12

Write an equivalent expression to 2x + 3 + 5(x+ 6) by combining like terms

Mathematics
1 answer:
cestrela7 [59]2 years ago
8 0

Answer:

7x + 33

Step-by-step explanation:

Distribute the multiplication in the last term:  5(x + 6) becomes 5x + 30.  Then,  2x + 3 + 5(x+ 6) becomes 2x + 3 + 5x + 30.  2x and 5x are 'like terms' and add up to 7x; 3 and 30 are also like terms of a different type (constants) and add up to 33.  

Thus we have the equivalent, simpler expression 7x + 33.

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3 years ago
What is the x intercept of 4x+6y=3x+8?
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3 0
3 years ago
Cora uses 6.2 pints of white paint and blue paint to paint her bedroom walls. 2 5 of this amount is white paint, and the rest is
zhenek [66]

Answer:She used 3.72 pints of blue paints for the wall

Step-by-step explanation:

Total Quantity of Blue and white paint =6.2 pints

Quantity  of White paint =2/ 5 x 6.2 pints = 2.48 pints

Quantity of blue paint =Total Quantity -Quantity  of White paint

=6.2 pints-2.48 pints

=3.72 pints

5 0
2 years ago
James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?
tatuchka [14]

James has 55 dimes in the bag

Step-by-step explanation:

The given is:

  • James has in a bag 77 of nickels and dimes
  • The total value of coins is $6.60

We need to find how many dimes James has

Assume that the number of nickels is x and the number of

dimes is y in the bag

∵ There are x nickels in the bag

∵ There are y dimes in the bag

∵ There are 77 coins in the bag

∴ x + y = 77 ⇒ (1)

∵ 1 nickel = 5 cents

∴ The value of nickles in the bag = 5x cents

∵ 1 dime = 10 cents

∴ The value of dimes in the bag = 10y cents

∵ The total value of coins is $6.60

∵ 1 dollar = 100 cents

∴ $6.60 = 6.60 × 100 = 660 cents

∴ 5x + 10y = 660 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -770 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -110

- Divide both sides by -5

∴ x = 22

Substitute the value of x in equation (2) to find y

∵ 22 + y = 77

- Subtract 22 from both sides

∴ y = 55

∴ The number of dimes is 55

James has 55 dimes in the bag

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

6 0
3 years ago
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