Liquid measurements charts

30 POINTS! Please answer and show work for both!

monitta

The recommended approach for such equations is to eliminate fractions first, by multiplying by the LCM of the denominators. You can simply simplify, then work them as a 2-step linear equation, doing your arithmetic with the fractions as they are.

a) (5x-1)/7 + (4x-3)/2 -(3-2x)/2 = 6 . . . . . given

... 2(5x -1) +7(4x -3) -7(3 -2x) = 84 . . . . . multiply by 14

... 10x -2 +28x -21 -21 +14x = 84 . . . . . . eliminate parentheses

... 52x -44 = 84 . . . . . . . . . . . . . . . . . . . . collect terms

... 52x = 128 . . . . . . . . . . . . . . . . . . . . . . . add 44

... x = 32/13 . . . . . . . . . . . . . . . . . . . . . . . . divide by 52 and simplify

b) (4x−3)/2 − (5−2x)/3 − (3x−4)/3 = 5 . . . given

... 2x -3/2 -5/3 +(2/3)x -x +4/3 = 5 . . . . . . .eliminate parentheses

... (5/3)x -11/6 = 5 . . . . . . . . . . . . . . . . . . . . simplify

... (5/3)x = 41/6 . . . . . . . . . . . . . . . . . . . . . . add 11/6

... x = (41/6)/(5/3) = 41/10 . . . . . . . . . . . . . .divide by the coefficient of x

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Using the first method, you're dealing with integers and you can do a lot of the math in your head. Using the second method, you're dealing with fractions and mixed numbers. A calculator can be helpful, especially if it handles arithmetic with fractions nicely, as many graphing calculators do.

6 0

3 years ago

A certain manufactured item is visually inspected by two different inspectors. When a defective item comes through the line, the

andreev551 [17]

The fraction of a defective item getting by both inspectors is $\frac{5}{100}$ = $\frac{1}{20}$

Step-by-step explanation:

Step 1; Assume that the probability of the first inspector missing a defective part is P(A) and the probability of the second inspector missing those that do get past the first inspector is P(B).

Step 2; It is given that P(A) = 0.1, we convert this into a fraction so that the final probability will be a fraction and not a decimal.

P(A) = 0.1 = $\frac{1}{10}$ .

It is given that the second inspector misses 5 out of 10 that get past the first inspector, so P(B) = $\frac{5}{10}$ .

Step 3; To calculate the probability of both inspectors missing a defective part, we multiply both the probabilities.

P(A and B happening) = P(A) × P(B) = $\frac{1}{10}$ × $\frac{5}{10}$ = $\frac{5}{100}$ = $\frac{1}{20}$ = 0.05%. So there is a 0.05% chance of both inspectors missing a defective part.

8 0

3 years ago

I HAVE 5 MATH QUESTIONS AND I NEED HELP ASAP. ONLY COMMENT IF YOU'RE GONNA HELP ME PLEASE. THANKS! QUESTIONS ARE PASTED BELOW.

valkas [14]

1. (2,3)
2. (-1,-1)
3. infinitely many
4. coincident
5. consistent independent, coincident, inconsistent (in that order)

8 0

3 years ago

I need help ASAP will give brainliest

Tems11 [23]

Answer:

658 + 342 = 1000.

Step-by-step explanation:

Let x be the multiple of 47 and y be the multiple of 19 which gives 1000 while adding.Hence 47x + 19y = 1000On multiplying, find x and yX=14 and y=18So, 47*14= 658 and 19*18= 342 On adding, 658+342=1000Therefore, 658 and 342 are the two parts of 1000.

in simple way

47a + 19b = 1000

a = 14, b = 18

check: 14 x 47 = 658, 18 x 19 = 342, 658 + 342 = 1000.

7 0

3 years ago

Read 2 more answers

12 cm<br> 6 cm <br> What is the area of this

Ahat [919]

Answer:

If it's a rectangle, then:

12 x 6 = 72 cm²

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers