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3 years ago

5

Can you combine like terms without formally showing the distributive property? Explain.

1 answer:

blsea [12.9K]3 years ago

6 0

Yes you can! Say you have 5(2 + x) + 3x. The answer would be 10+8x because when you use the distributive property you will end up getting 5*2 5*x and once you multiply, it's obvious 5 times 2 is 10 and 5 times x will equal 5x. Then you add 5x and 3x and get 8x. So, the simplified expression here is 10+8x. When you have this as an answer it's proving your answer right. You can without using the distributive property. We can have 10+5x+3x and it will be your simplified expression. It's the same thing with equations too.

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1 year ago

Question 26 pleaseee

LuckyWell [14K]

Answer:

The inequality is $55+10x\leq 105$

The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.

Step-by-step explanation:

Given: Cost of first hour rent of jet ski is $55

Cost of each additional 15 minutes of jet ski is $10

Jeremy can spend no more than $105

Assuming the number of additional 15-minutes increment be "x"

Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.

Lets put up an expression for total spending of Jeremy.

$\$55+ \$ 10\times x$

We also know that Jeremy can not spend more than $105

∴ Putting up the total spending of Jeremy in an inequality.

$\$ 55+\$10x\leq \$ 105$

Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,

⇒ $\$ 55+\$10x\leq \$105$

Subtracting both side by 55

⇒ $\$ 10x\leq \$50$

Dividing both side by 10

⇒ $x\leq \frac{50}{10}$

∴ $x\leq 5$

Therefore, Jeremy can rent for $60\ minutes + 5\times 15\\= 60\ minutes + 75= 135\ minutes$

Jeremy can rent maximum of 135 minutes.

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F=R G=S H=T
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