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just olya [345]
4 years ago
11

Just the distributive property to write an expression that is equivalent to 10 + 15x

Mathematics
1 answer:
slava [35]4 years ago
4 0

Answer:

5 ( 2 + 3x )

Step-by-step explanation:

1st step: Take the GCF of the equation 10+15x

2nd step: GCF means, taking the Greatest Common Factor out of BOTH the numbers in an equation. (GCF is 5 in this case.)

3rd step: Divide by the GCF that you got. (In this case, you have 10 +15x. You need to do 10/5, and 15x /5. (Note that ANYTHING multiplied by "x" can also be divided just like a regular number.)

4th step: Put the the number that you divided with for both numbers OUTSIDE parentheses. (Note in this case it is common.)

5th step: Check your work. PLEASE DO THIS STEP.

Check: 5( 2 + 3x )

5 x 2 = 10

5 x '3x' = 15x

So, the answer for this problem is: 5 ( 2 +3x )

Answer: 5( 2 + 3x)

Hope this helped you understand the basics of disributive property. And if you have another problem just like this, you can use the same rule as shown above. :)

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For what values of x will make the following statement true?
Serhud [2]

The value of x that will make the statement true is 1

Step-by-step explanation:

The given is:

  • f(x) = x - 4
  • g(x) = 2x + 3

We need to find the value of x which makes [f(x) + 2g(x)] = 7

∵ f(x) = x - 4

∵ g(x) = 2x + 3

∵ f(x) + 2g(x) = 7

- Multiply g(x) by 2

∵ 2g(x) = 2(2x + 3) = 2(2x) + 2(3) = 4x + 6

∴ 2g(x) = 4x + 6

∵ f(x) + 2g(x) = 7

∴ (x - 4) + (4x + 6) = 7

- Add the like terms in the left hand side

∴ (x + 4x) + (-4 + 6) = 7

∴ 5x + 2 = 7

- Subtract 2 from both sides

∴ 5x = 5

- Divide both sides by 5

∴ x = 1

The value of x that will make the statement true is 1

Learn more:

You can learn more about the equations in brainly.com/question/1284310

#LearnwithBrainly

5 0
3 years ago
Yep sorry again this math is hard
kramer

Answer:

<

Step-by-step explanation:

Firstly, you can focus on the scientific notation and calculate which one is bigger. The left side is 10^3 whereas the right side is 10^4. This shows that even if the number before this was bigger, the larger exponent of these two are the bigger number.

10^3 = 1000\\10^4 = 10000

Meaning the correct sign would be the smaller than sign (<) as the right side is bigger than the left.

Hope this helps!

8 0
2 years ago
Karl drove 603.5 miles. for each gallon of gas, the car 41 miles. what is a resonable amount to use
Kobotan [32]

Answer:

15

Step-by-step explanation:

To find the answer, round the answer to 603.5/41

603.5/41 is approximately 15

Karl used about 15 gallons

Hope this helps :)

Have a great day!

7 0
2 years ago
How do you think Pythagoras' broad interests, life experience, and beliefs influenced his work?
Leviafan [203]
The arts the Greeks searched some reality behind the appearances of things. The early Archaic sculpture represents life in simple forms, and it seems that it was influenced by the earliest Greek natural philosophies. There was a general Greek belief that nature expresses itself in ideal forms, and it was represented by a type which was mathematically calculated. This can be observed in the construction of the first temples. The original forms were considered divine, and the forms of the later marble or stone elements indicate that there was an original wooden prototype. When the dimensions changed, the architects searched in mathematics some permanent principles behind the appearances of things <span>these ideas influenced the theory of Pythagoras and his students who asserted that "all things are numbers.</span>
3 0
4 years ago
How many milliliters are equal to 7 liters?<br><br> Enter your answer in the box.
Arada [10]

Answer:

7,000 Milliliters

Step-by-step explanation:

8 0
3 years ago
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