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dem82 [27]
3 years ago
9

Using distributive property

Mathematics
1 answer:
Hoochie [10]3 years ago
3 0

Answer:

Step-by-step:  Step 1: Add -19x to both sides

 48x-6y+3+-19x=19x+15y+-19x

29x-6y+3=15y

Step 2: Add 6y to both sides

29x-6y+3+6y=15y+6y

29x+3=21y

Step 3: Add -3 to both sides

29x+3+-3=21y+-3

29x=21y-3

Step 4: Divide both sides by 29

29x/29=21y-3/29

x=21/29y+ -3/29

                                         

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a glass jar has 64 chocolate. mark, dave and ralph will share the chocolate in the ratio of 1:1:2, how many chocolates will each
tia_tia [17]

Step-by-step explanation:

64/(1+1+2)

= 64/4

= 16

1 : 1 : 2

mark = 1×16 = 16

dave = 1×16 = 16

ralph = 2×16 = 32

8 0
2 years ago
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For each value of determine whether it is a solution to 2x - 7 = -23
Fantom [35]

Answer:

x = -8

Step-by-step explanation:

-23 + 7 = -16

-16 ÷ 2 = -8

2 × -8 =-16 - 7 = -23

8 0
3 years ago
A sign language club made $627. 50 from selling popcorn at a festival. The popcorn cost the club $95. 0. Which expression repres
solmaris [256]

The expression representing the amount of money that was raised for each member of the club is \dfrac{627.50 - 95.0}{m} (in dollars)

<h3>How to interpret the division? </h3>

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, a \div b = a divided in b equal parts.

Also, we can write: a \div b = a \times \dfrac{1}{b}

(it is since a = a \times 1 so a/b = 1 \times (a/b) = (1/b) \times a )

<h3>How to find the profit earned?</h3>

Profit earned is the extra money which we make after deducing the cost price of the process we're doing.

So, we get:

Profit earned = Total amount earned - Amount spent initially for preparation to earn

P = Selling price (S.P.) = Cost price (C.P.)

For the given case, we're given that:

  • Amount made by the sign language club by selling popcorn at a festival = $627.50
  • The cost price for the popcorn to the club = $95.0

The money raised = Amount made by selling popcorn - amount costed to the club for getting popcorn

Money raised = $627.50 - $95.0

If it is given that: m = number of members in the considered club, then:

Money each member of the considered club will get = Money raised divided in equal m parts = \dfrac{627.50 - 95.0}{m} (in dollars)

(we don't write symbols like of currency generally, and understand it from context.)

Thus, the expression representing the amount of money that was raised for each member of the club is \dfrac{627.50 - 95.0}{m} (in dollars)

Learn more about division here:

brainly.com/question/26411682

8 0
2 years ago
Are the triangles congruent? If so, how do you know?
Komok [63]

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there. So in other words no matter what way it is flipped or anything else that does not change the numbers on the sides it is congruent.

7 0
3 years ago
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Is 8/9 bigger than 2/3
swat32

Answer:

Yes

Step-by-step explanation:

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

8/9 = 0.889

2/3 = 0.667

Then, we compare the two decimal numbers to get the answer.

0.889 is greater than 0.667

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