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SOVA2 [1]
3 years ago
9

3/8x - 1 = 5/8 solve for x​

Mathematics
1 answer:
Blababa [14]3 years ago
6 0

Answer: x = 13/3 or  x = 4.33333....

Solution: ⅜x -1 +1 = ⅝ + 1      

Simplify: ⅜x = 13/8

Multiply both sides by eight:  8 x ⅜x =  133 x 8 divided by 8

Simplify:  3x = 13

Divide both sides by three: 3x/3 = 13/3

Simplify:  x = 13/3

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8. You are paid a commission plus $5.40 per hour with time and a half overtime
Elanso [62]

9514 1404 393

Answer:

  $491.65

Step-by-step explanation:

The pay for the first 8 hours is $5.40 per hour × 8 hours = $43.20. Hours over 8 are paid at 1.5 × $5.40 = $8.10 per hour. There are at least 8 hours every day for the 6-day week. There are hours over 8 on Monday, Wednesday, Thursday, and Friday totaling 7 hours of overtime.

The amount of sales is more than $3000, so 4% will be paid on $3000, and 5% will be paid on the $1115 in excess of $3000.

So, the gross pay is ...

  $43.20 × 6 + 8.10 × 7 = $315.90 . . . . wages

  $3000 × .04 +1115 × .05 = $175.75 . . . commission

  $315.90 +1.75.75 = $491.65 . . . . gross pay for the week

_____

It can be less tedious to let a spreadsheet do the calculations.

6 0
2 years ago
If
Anna11 [10]
Answer: -104

Explanation: x=-9 y=2
2(y-3xy)
=2(2-3(-9)(2))
=4-2(3(-18))
=4-108
=-104

Hope it helped

4 0
2 years ago
Multiply: (5x2y – 3xy2)(3xy2 + 5x2y)<br> Please help I need to get this one right!
Aliun [14]

Answer:

(1): "*-5x2y" was replaced by "*(-5x2y)".

(2): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (3x • (y2)) • (0 -  (5x2 • y))

STEP

2

:

Equation at the end of step

2

:

 3xy2 •  -5x2y

STEP

3

:

Multiplying exponential expressions :

3.1    x1 multiplied by x2 = x(1 + 2) = x3

Multiplying exponential expressions :

3.2    y2 multiplied by y1 = y(2 + 1) = y3

I believe the answer is   ( -3•5x3y3)

6 0
2 years ago
Gabriella swims 2 laps per minute. What is the associated rate? ___ minute per lap
Leokris [45]

Answer:

The answer is D.

Step-by-step explanation:

It is given that Gabriella swims 2 laps for 1 minute. So in order to find how many minutes did he swim for each lap, you have to divide it by 2 :

2 laps = 1 minute

2 laps ÷ 2 = 1 minute ÷ 2

1 lap = 1/2 minute

= 30 seconds

Test :

Gabriella swim 1/2 min per lap. So if he swim 2 laps, you have to multiply it by 2 :

1/2 × 2 = 1 minute

7 0
3 years ago
Read 2 more answers
Vernon's work for finding the value of x is shown below. Lines A C and B D intersect at point E. Angle A E D is (16 x + 8) degre
Marta_Voda [28]

Answer:

<em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>

Step-by-step explanation:

Find the diagram attached

If line AC and BD intersects, then m<AED + m<DEC = 180 (sum of angle on a straight line is 180 degrees)

Given

m<AED = 16x+8

m<DEC = 76 degrees

16x + 8 + 76 = 180

16x + 84 = 180

16x = 180-84

16x = 96

x = 96/16

x = 6

Hence the value of x is 6

Hence the correct option is <em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>

5 0
3 years ago
Read 2 more answers
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