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gizmo_the_mogwai [7]
3 years ago
13

1. 3x + 12 = 8x - 18

Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

Answer:

  1. given
  2. addition property of equality
  3. addition property of equality
  4. division property of equality
  5. symmetric property of equality

Step-by-step explanation:

In step 2, -3x was added to both sides in accordance with the addition property of equality.

The same property lets you add 18 to both sides, as in step 3.

The division property of equality lets you divide both sides of the equation by 5. (Or, the multiplication property lets you multiply by 1/5.)

Swapping sides of the equal sign is allowed by the symmetric property of equality.

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Which of these scales are equivalent to 3 cm to 4 km? select all that apply. recall that 1 inch is 2.54 cm
AlladinOne [14]

Answer:

1. 0.75 cm to 1 km

4. 0.3 mm to 40 m

Step-by-step explanation:

we have the scale

\frac{3}{4}\frac{cm}{km}=0.75\frac{cm}{km}

<u><em>Verify each case</em></u>

case 1) 0.75 cm to 1 km

\frac{0.75}{1}\frac{cm}{km}=0.75\frac{cm}{km}

therefore

The scale is equivalent to the given value

case 2) 1 cm to 12 km

\frac{1}{12}\frac{cm}{km}=0.08\frac{cm}{km}

0.08\frac{cm}{km} \neq 0.75\frac{cm}{km}

therefore

The scale is not equivalent to the given value

case 3) 6 mm to 2 km

Remember that

1 cm= 10 mm

1 mm=0.1 cm

we have

\frac{6}{2}\frac{mm}{km}=\frac{0.6}{2}\frac{cm}{km}=0.30\frac{cm}{km}

0.30\frac{cm}{km} \neq 0.75\frac{cm}{km}

therefore

The scale is not equivalent to the given value

case 4) 0.3 mm to 40 m

Remember that

1 cm= 10 mm  -----> 1 mm=0.1 cm

1 km=1,000 m ----> 1 m=0.001 km

we have

\frac{0.3}{40}\frac{mm}{m}=\frac{0.03}{0.04}\frac{cm}{km}=0.75\frac{cm}{km}

0.75\frac{cm}{km}=0.75\frac{cm}{km}

therefore

The scale is equivalent to the given value

case 4) 1 inch to 7.62 km

Remember that

1 in= 2.54 cm

we have

\frac{1}{7.62}\frac{in}{km}=\frac{2.54}{7.62}\frac{cm}{km}=0.33\frac{cm}{km}

0.33\frac{cm}{km} \neq 0.75\frac{cm}{km}

therefore

The scale is not equivalent to the given value

6 0
3 years ago
I WILL GIVE 13 POINTS IF YOU SHOW YOUR WORK WITH THE ANSWER A clothing store purchased jeans from the manufacturer at a cost of
olasank [31]
First you need to find out how much Molly paid. So, $24 times 0.25 equals $6 off so $24 minus $6 equals $18. Molly paid $18 for the jeans. Then to find the percentage of increase you would find the difference between how much the store bought the jeans minus how much they sold them for which is $18-$6=$12 then u would do $12 divided by $6 which is 2 and then multiply by 100 to get 200%. So the store earned a 200% increase on the jeans they sold to Molly.
3 0
2 years ago
Read 2 more answers
Complete the table so that the cost per banana remains the same.
Aneli [31]

Step-by-step explanation:

No. of banana    Cost      Unit price

4                            2            0.50

6                            3             0.50

7                           3.5           0.50

20                         10            0.50

20                          10             0.50

33                          16.50        0.50

Cost = No of banana x unit price

Cost = 4 x 0.50 = 2

Cost = 6 x 0.50 = 3

Cost = 7 x 0.50 = 3.50

Cost = 20 x 0.50 = 10

No of banana = Cost / Unit price

No of banana = 10 / 0.50 = 20

No of banana = 16.50 / 0.50 = 33

3 0
3 years ago
What is 6/2(1+2)=?
Rufina [12.5K]

Answer:

Answer is 9

Step-by-step explanation:

Remember PEMDAS???

"parenthesis, exponents, multiplication, division, addition, subtraction"

you would first solve the addition inside of the parentheses (1 + 2 = 3), and from there finish the equation as it's written from left to right.

8 0
2 years ago
Read 2 more answers
Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 Write an equation to determine th
dangina [55]

Answer: 2w + 4 = 35

Step-by-step explanation:

Carl's two checked bags and his one backpack together weigh 35kg.

Carl's two checked bags have equal weight so both their weight can be denoted as 2w.

Equation is;

2w + 4 = 35

If you were to solve;

2w + 4 = 35

2w = 35 - 4

w = 31/2

w = 15.5kg

4 0
2 years ago
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