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Vitek1552 [10]
3 years ago
8

Which of the following equations has infinitely many real solutions? A. 3(x - 7) = 3x + 21 B. 3x + 1 = 3x - 1 C. 3x + 1 = x - 1

D. 3(x - 7) = 3x - 21
Mathematics
1 answer:
Anon25 [30]3 years ago
6 0

Answer is D. 3(x - 7) = 3x - 21

because

3(x - 7) = 3x - 21

Distributive property

3x - 21 = 3x - 21

0 = 0

Infinitely many real solutions

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An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

  • 28 students in the Spanish class,
  • 26 in the French class,
  • 16 in the German class,
  • 12 students that are in both Spanish and French,
  • 4 that are in both Spanish and German,
  • 6 that are in both French and German,
  • 2 students taking all 3 classes.

So,

  • 2 students taking all 3 classes,
  • 6 - 2 = 4 students are in French and German, bu are not in Spanish,
  • 4 - 2 = 2 students are in Spanish and German, but are not in French,
  • 12 - 2 = 10 students are in Spanish and French but are not in German,
  • 16 - 2 - 4 - 2 = 8 students are only in German,
  • 26 - 2 - 4 - 10 = 10 students are only in French,
  • 28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

B. If a student is chosen randomly,  the probability that he or she is taking exactly one language class is

\dfrac{8+10+14}{100}=0.32

C. If 2 students are chosen randomly,  the probability that both are not taking any language classes is

0.5\cdot 0.5=0.25

So,  the probability that at least 1 is taking a language class is

1-0.25=0.75

3 0
3 years ago
$2.25
DiKsa [7]
2.50 that is the answer

8 0
2 years ago
Select all the expressions that are equivalent to −5/6 / -1/3
Sindrei [870]

Step-by-step explanation:

We need to find an expression for \dfrac{\dfrac{-5}{6}}{\dfrac{-1}{3}}.

We can solve it as follows.

We know that,

\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}

So,

\dfrac{\dfrac{-5}{6}}{\dfrac{-1}{3}}=\dfrac{-5}{6}\times -3\\\\=\dfrac{5}{2}

or

=2\dfrac{1}{2}

Hence, this is the required solution.

3 0
2 years ago
Identify the steeper line y = 3x + 4 or y = 6x + 11
VLD [36.1K]

Step-by-step explanation:

the steeper line is y = 6x + 11 because its gradient 6, is bigger than 3

5 0
2 years ago
Read 2 more answers
Write 10 1/2 as a decimal number
VikaD [51]

Answer:

10.5

Step-by-step explanation:

1/2 as a decimal is 0.5

so 10 is a whole number so i dont have to change it.

then answer is 10.5

7 0
3 years ago
Read 2 more answers
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