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Lady_Fox [76]
3 years ago
8

What’s the difference between x and 4 is greater than 10

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer:

4x>10

Step-by-step explanation:

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Which expression is equivalent to 2 (14x-3y+28x+12.2-5y-17.5)?
scoundrel [369]

To find the equivalence you need to simplify the expression to get

84x - 16y - 10.6

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Jarrett's puppy weighed 3 3/4 ounces at Birth. At 1 week old, the puppy weighed 5 1/8 ounces. At 2 weeks old, the puppy weighed
Ad libitum [116K]

Answer:  The answer is 7\dfrac{7}{8} ounces.

Step-by-step explanation: Given in the question the weight of Jarrett's puppy at birth, one week old and 2 weeks old are as follows:

b_0=3\dfrac{3}{4}=\dfrac{15}{4}~\textup{ounces},\\\\\\b_1=5\dfrac{1}{8}=\dfrac{41}{8}~\textup{ounces},\\\\\\b_3=6\dfrac{1}{2}=\dfrac{13}{2}~\textup{ounces}.

We can see that

b_1-b_0=b_2-b_1=\dfrac{11}{8}.

So, the weight of the baby will make an arithmetic progression with first term 'a' and common difference 'd' as follows:

b_0=\dfrac{15}{4},~~d=\dfrac{11}{8}.

Thus, the weight of the puupy after 3 weeks will be

b_3=b_0+3\times d=\dfrac{15}{4}+3\times\dfrac{11}{8}=\dfrac{30+33}{8}=\dfrac{63}{8}=7\dfrac{7}{8}~\textup{ounces}.

5 0
4 years ago
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The ratio of athletes in the two teams is 3:2. After 12 athletes move from first team to second, the ratio is 5:4. Find the numb
Alex

Answers:

  • team one = 162
  • team two = 108

=========================================================

Explanation:

The ratio 3:2 scales up to 3x:2x for some positive whole number x.

This tells us that the first team has 3x people and the second team has 2x people. We'll subtract 12 from the first team and add 12 to the second team to represent 12 people moving.

  • 3x becomes 3x-12
  • 2x becomes 2x+12

The new team counts 3x-12 and 2x+12 represent team 1 and team 2. Those expressions are in the new proportion 5:4.

This means....

(team 1 new count)/(team 2 new count) = 5/4

(3x-12)/(2x+12) = 5/4

4(3x-12) = 5(2x+12)

12x-48 = 10x+60

12x-10x = 60+48

2x = 108

x = 108/2

x = 54

From this, we then can say:

  • team 1 original count = 3x = 3*54 = 162
  • team 2 original count = 2x = 2*54 = 108

The two subtotals add to 162+108 = 270 players overall.

If we were to subtract 12 from team 1, and add 12 to team 2, then,

  • team 1 new count = 162-12 = 150
  • team 2 new count = 108+12 = 120

The ratio 150:120 then reduces to 5:4 when we divide both parts by the GCF 30. This helps confirm we have the correct answer.

4 0
3 years ago
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Find the percent of increase for 4 to 7. round to the nearest tenth if necessary. also someone please explain how to do this.
dem82 [27]

Answer:

75%

Step-by-step explanation:

The percent increase is calculated as

percent increase = \frac{increase}{original number} × 100%

increase = 7 - 4 = 3, thus

% increase = \frac{3}{4} × 100% = \frac{3(100)}{4} = 75%

8 0
3 years ago
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