MATHEMATICS MIDDLE SCHOOL

Solve for x: 2x – 2 > 4x + 6.

Answers

Answer 1

Answer:

Answer:

x < -4

Step-by-step explanation:

Let's first isolate x. Subtract 2x from both sides. This results in -2 > 2x + 6.

Next, subtract 6 from both sides, obtaining -8 > 2x.

Finally, dividing both sides by 2 results in:

x < -4

Answer 2

Answer:

Answer:

The answer is x<-4.

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

$- 2 > 4x + 6 - 2x$

Step2:Simplify -2 > 4x + 6 - 2x to 2x + 6.

$- 2 > 2x + 6$

Step3:Subtract 6 from both sides.

$- 2 - 6 > 2x$

Step4: Simplify -2 - 6 to -8.

$- 8 > 2x$

Step5:Divide both sides by 2.

$- (8)/(2) > x$

Step6:Simplify 8/2 to 4.

$- 4 > x$

Step7:Switch sides.

$x < - 4$

Thus,theanswerisx<-4.

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Four fifth of a number is more than three fourth of the number by 4. Find the number

Answers

Let the unknown number be x then given,

(4/5)x - (3/4)x = 4

(16x - 15x)/20 = 4

x/20 = 4

x=80

Let the number be n.

Four fifths of the number is 4n/5.

Three fourths of the number is 3n/4.

Four fifths of a number is more than three fourths of the number by 4.

4n/5 = 3n/4 + 4

20 * 4n/5 = 20 * 3n/4 + 20 * 4

16n = 15n + 80

n = 80

Let's check.

4/5 of 80 = 4/5 * 80 = 64

3/4 of 80 = 3/4 * 80 = 60

64 is indeed 4 more than 60 showing that 4/5 of 80 is 4 more than 3/4 of 80, so 80 is correct.

Answer: 80

gabreil had $60.he spent $36 on a pair of shoes and the rest on a shirt what percent of money did he spend on the pair of shoes

Answers

Answer=60%

36 x
____=____
60 100

cross multiply
60x=3600
divide both sides by 60
x=60

A machine can print 300 T-shirts in 10 minutes. How many T-shirts Can the machine print in 1 minute

Answers

The machine can print 10 shirt per minute. just divide 300 by 10.

45 is 15% of what number

Answers

45 = 15% of number
45 = 15% × n
15% = $(15)/(100)$ = 0.15

45 = 0.15n

$(45)/(0.15)$ = $(0.15n)/(0.15)$
0.15 and 0.15 cancels out

300 = n

15% of 300 is 45

45 is 155 of 300

15% of a number is 45
15% × x = 45
x = 45 ÷ 15%
x = 45 ÷ 15/100
x = 45 × 100/15
x = 4500/15
x = 300

Check:
15% × 300
= 15/100 × 300
= 15 × 3
= 45

45 is 15% of 300.

A table costs $50 more than a chair. The cost of 6 chairs and 1 table is $750. The equation 6x + x + 50 = 750, where x is the cost of one chair, represents this situation. Plug in the values from the set {50, 100, 150} to find the correct value of x.The value of x that makes the equation true is . So, the cost of a chair is and the cost of a table is .