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vodka [1.7K]
2 years ago
7

2 wholes and 3/12 + 3/? = 2 wholes and 5/8 .what is the missing number ?

Mathematics
1 answer:
Sladkaya [172]2 years ago
6 0
Basically you know that the 2 wholes from both sides cancel out.

Set up the equation, 5/8 = 3/12 + 3/x

3/x =  5/8 - 3/12

Set them to have a common denominator, 3/x = 15/24 - 6/24

3/x = 9/24

Simplify 9/24 and you will get 3/8

3/x = 3/8

Obviously this means x = 8


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Table show step by step how do you simplify the algebraic expression 3(x-5)+4x. <br>Justify step 4​
ale4655 [162]
<h3>Answer: Commutative Property (choice C)</h3>

===================================================

Explanation:

Here are all of the justifications for each step

  • Step 1. None needed. This is the original expression
  • Step 2. Distributive property
  • Step 3. Multiply  (the 3 and 5 multiply to 15)
  • Step 4. Commutative property. Specifically, this is the commutative property of addition which allows us to add any two numbers in any order we want. In this case, the  -15 and 4x terms swap places.
  • Step 5. Associative property. The parenthesis group the first two terms away from the third term.
  • Step 6. Combine like terms. Both 3x and 4x have an x only so they are like terms that combine to 7x. You can think of it as 3+4 = 7, then you just tack an x onto everything to get 3x+4x = 7x.
6 0
3 years ago
(1,5) (2,7)<br> How to find the equation of the line passing through the given points
IceJOKER [234]

Answer:

y = 2x - 3

Step-by-step explanation:

to do this problem, we will use the following formula to find the slope of the line

(y2 - y1) / (x2 - x1)

(1,5) (2,7)

(7 - 5) / (2 - 1)

2 / 1

2 = m

next, we will substitute the slope and one of the points into the slope-intercept form (y = mx + b) and solve for b to find the y-intercept

y = mx + b

7 = (5)(2) + b

7 = 10 + b

-3 = b

finally, we put it all together into one equation

y = 2x - 3

7 0
2 years ago
Is 5 1/ 5 to the third power equal to 5 (5 to the third power) explain
swat32

Answer:

Step-by-step explanation:

If I read this correctly...

5 1/5^3= 5.20^3=140.608

5(5)^3=625

If this isn't the correct problems, sorry. it was kind of hard to decipher the last one.

4 0
2 years ago
Jordan is 27 miles short of his biking goal. Hayden went 27 miles over his goal. Which of the following statement is true?​
agasfer [191]

Answer:

Option A

Step-by-step explanation:

Jordan is 27 miles short of his biking goal.

This statement states that Jordan is 27 miles behind the goal.

Hayden went 27 miles over his goal.

This statement states that Hayden is 27 miles ahead of his goal.

Option A

Both are 27 miles away from their goal.

True.

Option B

Since, both were 27 miles away from their goal,

Statement is False.

Option C

Since, the goal was same both,

Given statement is False.

Option D

Goal was same for both Jordan and Hayden,

Statement is False.

5 0
3 years ago
Mixed numbers from 6 to 7, with an interval of 1/5 in between each pair of mixed numbers
Flura [38]
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the smallest whole number is 1.
so no mixed number could be lees than 1.

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1-6/1 or 2-71
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