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3 years ago

2-3/4z=1/8z+9 please show your steps!

1 answer:

4 0

1. 2 - 3z/4 = 1/8z + 9 (simplify 3/4z to 3z/4)

2. 2 - 3z/4 = z/8 + 9 (simplify 1/8z to z/8)

3. 16 - 6z = z + 72 (multiply both sides by 8 (the LCM of 4,8)

4. -6z = z + 72 - 16 (subtract 16 from both sides)

5. -6z = z + 56 (simplify z + 72 - 16 to z + 56)

6. -6z - z = 56 (subtract z from both sides)

7. -7z = 56 (simplify -6z - z to -7z)

8. z = 56/-7 (divide both sides by -7)

9. z = -8. (simplify 56/7 to 8)

So in conclusion your answer to the equation would be -8.

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The following formula can be used to find the distance that a person has run.

Mrrafil [7]

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3 years ago

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You earn three dollars an hour as a waitress after working three hours you earn 12 five and seven dollars in tips how much money

NikAS [45]

Answer:

The waitress earned a total of 33 dollars

Step-by-step explanation:

Step 1: Determine total earnings from wages;

Total earnings from wages=Earnings per hour×number of hours worked

where;

Earnings per hour=3 dollars an hour

Number of hours worked=3 hours

replacing;

Total earnings from wages=(3×3)=9 dollars

Step 2: Determine total earnings from tips

Total earnings from tips=(12+5+7)=24 dollars

Step 3: Calculate total money earned

Total money earned=Total earnings from tips+total earnings from wages

where;

Total earnings from tips=24 dollars

Total earnings from wages=9 dollars

replacing;

Total money earned=(9+24)=33 dollars

The waitress earned a total of 33 dollars

7 0

3 years ago

The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr

GarryVolchara [31]

Answer:

$\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height$

Given:

area = 18 cm²
base = 6 cm
height = (h + 1) cm

Substitute the given values into the equation and solve for h:

$\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)$

$\sf \implies 18 = \sf \dfrac62 (h+1)$

$\sf \implies 18 =3(h+1)$

expand using distributive property of addition $a(b+c)=ab+ac$ :

$\sf \implies 18=3h+3$

subtract 3 from both sides:

$\sf \implies 3h=15$

divide both sides by 3:

$\sf \implies h=5$

<u>To verify</u>:

Half of the base is 3 cm.

If h=5, then the height of the triangle is 6 cm.

Multiplying 3 by 6 is 18.

This matches the given area, so we can verify that h = 5.

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2 years ago

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Vera and her roommates ate 1 1/3 pints of ice cream on Friday night and 1 1/6 pints of ice cream on Saturday night. How many pin

Andreas93 [3]

1 1/3 + 1 1/6

add the 1 +1 = 2

add 1/3 + 1/6 ( find common denominator, which in this case is 6)

so 1/3 becomes 2/6

2/6 + 1/6 = 3/6 which reduces to 1/2

they ate 2 1/2 pints total

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3 years ago

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dimaraw [331]

Answer:

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