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andreev551 [17]
2 years ago
14

Solve the inequality 47.75 + x Less-than-or-equal-to 50 to determine how much more weight can be added to Li's suitcase without

going over the 50-pound limit. What is the solution set? x Less-than-or-equal-to 2.25 x Less-than-or-equal-to 2.75 x Greater-than-or-equal-to 2.25 x Greater-than-or-equal-to 2.75
Mathematics
2 answers:
blsea [12.9K]2 years ago
7 0

x is less-than-or-equal-to 2.25 (x ≤ 2.25)

Step-by-step explanation:

We can write down the inequality that represents the weight Li can add without going over the 50 pound limit:

47.75 + x ≤ 50

If we solve for x we have:

47.75 + x ≤ 50

x ≤ 50 - 47.75

x ≤ 2.25

Therefore, the weight Li can add to the suitcase is less-than-or-equal-to 2.25

myrzilka [38]2 years ago
6 0

Answer:

x is less-than-or-equal-to 2.25 (x ≤ 2.25)

Step-by-step explanation:

We can write down the inequality that represents the weight Li can add without going over the 50 pound limit:

47.75 + x ≤ 50

If we solve for x we have:

47.75 + x ≤ 50

x ≤ 50 - 47.75

x ≤ 2.25

Therefore, the weight Li can add to the suitcase is less-than-or-equal-to 2.25

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Is "8.313313331..." a rational or irrational number
Snowcat [4.5K]

Answer:

Irrational

Step-by-step explanation:

Repeating decimals are rational.  Nonrepeating are irrational.

This is a nonrepeating decimal.  First you have one 3, then two 3s, then three 3s.  It's not a repeating pattern.  So it's an irrational number.

7 0
2 years ago
The rule is applied to ΔABC. On a coordinate plane, 5 triangles are shown. Triangle A B C has points (2, negative 4), (4, negati
vfiekz [6]

Answer:

Consider triangle ABC with vertices at points A(2,-4), B(4,-4) and C(4,-2).

1. The rotation  acts with the rule:

Then:

2. The reflection across the y-axis has a rule:

So,

Triangle A''B''C'' is exactly the same as tiangle from figure 1.

Answer: correct choice is 1.

PLZ brainliest answer

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?
horrorfan [7]

Option C: –10, –7.5, –5, –2.5, … is the sequence that could be partially defined by the recursive formula f(n+1)=f(n)+2.5

Explanation:

The given recursive formula is f(n+1)=f(n)+2.5 for n\geq 1 and f(1)=-10

We need to determine the sequence.

The sequence can be determined by substituting n = 1, 2, 3, 4,....

<u>2nd term of the sequence:</u>

Substituting n = 1 in the formula f(n+1)=f(n)+2.5, we get,

f(1+1)=f(1)+2.5

Simplifying, we have,

f(2)=-10+2.5=-7.5

Thus, the 2nd term of the sequence is -7.5

<u>3rd term of the sequence:</u>

Substituting n = 2 in the formula f(n+1)=f(n)+2.5, we get,

f(2+1)=f(2)+2.5

Simplifying, we have,

f(3)=-7.5+2.5=-5

Thus, the 3rd term of the sequence is -5

<u>4th term of the sequence:</u>

Substituting n = 3 in the formula f(n+1)=f(n)+2.5, we get,

f(3+1)=f(3)+2.5

Simplifying, we have,

f(4)=-5+2.5=-2.5

Thus, the 4th term of the sequence is -2.5

Therefore, the sequence is –10, –7.5, –5, –2.5, …

Hence, Option C is the correct answer.

3 0
2 years ago
Which proportion satisfies the geometric mean (altitude) theorem for the triangle?
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D is the correct answer 
3 0
2 years ago
Read 2 more answers
Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably in- finite, exh
mrs_skeptik [129]

Answer:

a) the negative integers set A is countably infinite.

   one-to-one correspondence with the set of positive integers:

   f: Z+ → A, f(n) = -n

b) the even integers set A is countably infinite.

   one-to-one correspondence with the set of positive integers:

   f: Z+ → A, f(n) = 2n

c) the integers less than 100 set A is countably infinite.

   one-to-one correspondence with the set of positive integers:

   f: Z+ → A, f(n) = 100 - n

d) the real numbers between 0 and 12 set A is uncountable.

e) the positive integers less than 1,000,000,000 set A is finite.

f) the integers that are multiples of 7 set A is countably infinite.

   one-to-one correspondence with the set of positive integers:

   f: Z+ → A, f(n) = 7n

Step-by-step explanation:

A set is finite when its elements can be listed and this list has an end.  

A set is countably infinite when you can exhibit a one-to-one correspondence between the set of positive integers and that set.

A set is uncountable when it is not finite or countably infinite.

8 0
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