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vekshin1
3 years ago
9

Which of the following is the solution for 6x + 3 ≤ 27

Mathematics
1 answer:
postnew [5]3 years ago
5 0

Answer:

x  ≤  4

Step-by-step explanation:

6x + 3 ≤ 27        subtract 3 both sides

6x ≤ 24              divide 6 both sides

x ≤ 4                   There's your answer

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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

_____

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
Three hundred seventeen kids went on a field trip last
arlik [135]

Answer:

310 kids/ 6 busses

310/6=51.6 so

52 or 51 kids on each bus.

3 0
3 years ago
Read 2 more answers
What is the recursive formula for 4,8, 12, 16
shtirl [24]

Answer:

looks like A, first answer, is correct when using n such that it names what value of the sequence to use like a1 = 4 and so on.

Step-by-step explanation:

4 0
2 years ago
Please answer! Will give brainliest. Have a good day:)
taurus [48]

Answer:

B.

Step-by-step explanation:

Green: y = 1.75x + 4

The slope is 1.75 which is the rate per mile.

Green charges $1.75 per mile.

White:

For 3 miles: $10.50

For 5 miles: $13.50

Difference: $13.50 - $10. 50 = $3.00

The $3.00 difference is for 2 miles.

Rate per mile: $3.00/2 = $1.50

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6 0
2 years ago
Heeeeeeeeeeeeeeeeeeeelllllppp​
adoni [48]

Answer:

120 degrees.

Step-by-step explanation:

All the angles in a triangle add up to 180. You have two of the angles given:

50 degrees and 70 degrees

To find the third angle of the triangle (BAC), use the expression:

180 - (50 + 70)

180 - 120

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So, the third angle in the triangle is 60 degrees. Looking at angle DAB, you can see that it forms a straight line with angle BAC. A straight line is 180 degrees. Since we know BAC is 60, and BAC + DAB = 180, by doing 180 - 60, you can see that angle DAB is 120 degrees.

7 0
2 years ago
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