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Solnce55 [7]
3 years ago
11

What is 5x-(x-2)>2x-4(x-8)

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0

Answer:

x > 5

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

(4x + 2) - (2x - 4 • (x - 8)) > 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

6x - 30 = 6 • (x - 5)

Equation at the end of step 3 :

6 • (x - 5) > 0

Step 4 :

4.1 Divide both sides by 6

Solve Basic Inequality :

4.2 Add 5 to both sides

x > 5

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Evaluate the expression 3÷1 1/5+1/2
Soloha48 [4]
 61
----
110

The answer is 61 over 110, hope this helped you.

8 0
3 years ago
Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the statement
MArishka [77]

Answer:

a. The sum of the first 100 odd positive integers - Not a statement

b. Everybody needs somebody sometime - Atomic statement

c. The Broncos will win the Super Bowl or I'll eat my hat - Molecular statement (disjunction)

d. We can have donuts for dinner, but only if it rains - Molecular statement (conditional)

e. Every natural number greater than 1 is either prime or composite - Atomic statement

f. This sentence is false - Not a statement

Step-by-step explanation:

A statement in mathematics can be said to be any declarative statement that can either be true or false. While a sentence is considered to not be a statement if

Statements are divided into 2:

  1. Atomic statements: These are statements that cannot be split into mini statements.
  2. Molecular statements: These are the opposites of atomic statements. They are statements that cannot be spilt. This can further be divided into; conjunction, disjunction, conditional, bi-conditional and negation
3 0
3 years ago
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
The London theater offers child tickets at 10$each and adult tickets at 20$ each.Mrs burham buys 34 tickets at a total cost of 5
kirill115 [55]

Answer:

A+C=34

10C+20A=570

4 0
3 years ago
Select the graph that represents the given set. (Click on the graph until the correct one is showing.) A = {(1, 2), (2, 3), (3,
fenix001 [56]

Answer:

the 4th graph

Step-by-step explanation:

the x-axis is first (the horizontal line), then the y-axis is next ( vertical line). you have to with the pairs that you are given. {(1, 2)...} you find the 1 on the x-axis then move up 2 space. that will be your first dot. then you do the same with the rest of them

8 0
3 years ago
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