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andreev551 [17]
3 years ago
12

the product of 8 and a number , increased by 52, is equivalent to the product of 12 and the sum of the number and 2 . find the n

umber

Mathematics
1 answer:
Step2247 [10]3 years ago
8 0

8n+52=12(n+2)

distribute

8n+52 = 12n+24

subtract 8n from each side

52=4n +24

subtract 24 from each side

28 = 4n

divide by 4 on each side

7=n


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3 years ago
7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?
natali 33 [55]

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Answer:

  7. d. l = 6.48 cm, w = 6.48 cm

  8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

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8. In light of the above, the shape is a square.

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8 0
2 years ago
How many 3cm cubes can be put in a box 3cm long 6cm wide 12cm high?
lisov135 [29]

Answer:

8

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss
egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

P=\frac{x}{y}  

In this problem

<em>The probability of choose a blue card is </em>

x=7

y=7+4+6+8=25

substitute

P=\frac{7}{25}

<em>The probability of choose a green card is </em>

x=4

y=7+4+6+8=25

substitute

P=\frac{4}{25}

<em>The probability of choose a red card is </em>

x=6

y=7+4+6+8=25

substitute

P=\frac{6}{25}

<em>The probability of choose a yellow card is </em>

x=8

y=7+4+6+8=25

substitute

P=\frac{8}{25}

The sum of the probabilities of the 4 possible outcomes  is equal to

\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25} ----> represent the 100%

4 0
3 years ago
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