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Maurinko [17]
3 years ago
14

Solve for x. 5x - 4 = -3x + 12

Mathematics
2 answers:
svlad2 [7]3 years ago
6 0

Answer:

\boxed{ \bold{  \huge{\boxed{ \sf{x = 2}}}}}

Step-by-step explanation:

\sf{5x - 4 =  - 3x + 12}

Move 3x to left hand side and change it's sign

⇒\sf{5x + 3x  - 4 = 12}

Move 4 to right hand side and change it's sign

⇒\sf{5x + 3x = 12 + 4}

Collect like terms

⇒\sf{8x = 12 + 4}

Add the numbers

⇒\sf{8x = 16}

Divide both sides of the equation by 8

⇒\sf{ \frac{8x}{8}  =  \frac{16}{8} }

Calculate

⇒\sf{x = 2}

Hope I helped!

Best regards!!

Dmitriy789 [7]3 years ago
5 0

Step-by-step explanation:

5x+3x=12+4

8x=16

x=16÷8

x=2

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2.
Pachacha [2.7K]
Answer: 80 pieces of fruit

Explanation:
Let’s find out the amount of trees Mr Champion has.
He has 14 in total. 1 apple tree and 1 plum tree, and the rest are divided evenly among apricot, pear and peach trees. This means:
1 apple tree + 1 plum tree = 2 trees
14 - 2 = 12 trees
12 / 3 (varieties of trees) = 4
In conclusion, he has
1 apple tree, 1 plum tree, 4 apricot, pear and peach trees.

Now let’s go to the section where he picks the fruit.
6 apricots from 4 trees
10 peaches from 4 trees
3 pears from 4 trees
4 apples from 1 tree

This means:
(6 x 4) + (10 x 4) + (3 x 4) + (4 x 1) = total pieces of fruit picked

24 + 40 + 12 + 4 = total pieces of fruit picked

Now, you add up those four numbers, and you have your answer, 80.



Hope this helps!
5 0
2 years ago
The distance from Jason’s house to school is 0.5 kilometer. What is this distance in meters?
Leno4ka [110]

Answer:

500

Step-by-step explanation:

4 0
2 years ago
For each incorrect answer on a test, the teacher changes the total points possible by - 3
Bogdan [553]

Answer:

40

Step-by-step explanation:

8 incorrect answers x -3 points per wrong answer. 64 - 24 points taken off = score of 40.

5 0
3 years ago
Read 2 more answers
James has been assigned to provide candy for a class party he needs 5.3 pounds if candy cost $4.25 per pound at Harolds candy st
RoseWind [281]

Answer:

5.3 * 4.25 = 22.525

22.525 is about 22.5

so the answer is $22.50

3 0
2 years ago
Kai picked 7 times as many blueberry as Nico.together they picked 297
Helga [31]

Answer:

Step-by-step explanation:

You need to specify what the goal of the problem is.

If Kai picked 7 times as many blueberries as Nico, then:

n + 7n + 297, or

8n = 297.  Unfortunately, 8 does not divide evenly into 297, and we certainly are not interested in picking fractional blueberries.

If the problem mentioned 296 instead of 297 total blueberries, then

Nico (n) picked 47 blueberries and Kai picked 7 times that many, or 329.

5 0
3 years ago
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