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andrey2020 [161]
2 years ago
15

What makes this equation true?

Mathematics
1 answer:
DIA [1.3K]2 years ago
5 0

Answer:

    B.\cfrac{1}{2}

<h3>Given equation</h3>

  • \cfrac{12y-1}{2} =\cfrac{9y+8}{5}

<h3>Solve it for y</h3>

1. Cross - multiply:

  • 5(12y-1)=2(9y+8)

2. Open parenthesis:

  • 60y-5=18y+16

3. Collect like terms:

  • 60y-18y=16+5

4. Simplify:

  • 42y=21

5. Divide both sides by 42:

  • y=21/42=1/2

Matching answer choice is B

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What is the circumference of a circle with weight of 3 1/8 inches?
MrRissso [65]
A circle can’t weigh any inches just gonna say that now. Assuming you meant “height” of 3.125 inches, then the circumference is C=2(pi)r, where r is 1/2 the height (radius is half of the diameter, this situation the diameter being 3.125 inches.

Circumference would be approximately 9.8174770424681 inches—
Or shortened to 2 decimals it’s approximately
9.82 inches
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6 0
4 years ago
Five times the sum of a number and 27 is greater than or equal to six times the sum of that num
stepladder [879]

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

x \leq -21

Step-by-step explanation:

Given

<em>Represent the number with x</em>

So:

5 * (x + 27) \geq 6 * (x + 26)

Required

Determine the solution set

5 * (x + 27) \geq 6 * (x + 26)

Open Both Brackets

5 * x + 5 * 27 \geq 6 *x + 6 * 26

5x + 135 \geq 6x + 156

Collect Like Terms

5x - 6x \geq 156-135

- x \geq 21

Multiply both sides by -1

x \leq -21

Hence, the solution set is x \leq -21

7 0
3 years ago
Let R be the event that a randomly chosen person lives in the city of Raleigh. Let O be the event that a randomly chosen person
Anit [1.1K]

Answer:

P(O|R)

Step-by-step explanation:

The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).

The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.

In the question,

Event R = Person lives in the city of Raleigh

Event O = Person is over 50 years old

The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).

Hence, this statement can be given in conditional probability notation as

P(O|R)

7 0
3 years ago
Si se compran tres chicles y un tamarindo y se paga $15 y se compran dos chicles y tres tamarindos y se paga $31 ¿que cuesta cad
lorasvet [3.4K]

Responder:

9

Explicación paso a paso:

Dejar :

Mascar chicle = x

Tamarindo = y

3x + y = 15 - - - (1)

2x + 3y = 31 - - - (2)

De 1)

y = 15 - 3x - - (3)

Por lo tanto,

2x + 3 (15 - 3x) = 31

2x + 45 - 9x = 31

-7x = 31 - 45

-7x = - 14

x = 2

De (3):

y = 15 - 3 (2)

y = 15 - 6

y = 9

3 0
3 years ago
kayleigh is pucharsing organic carrots for her pet rabbit.The store has a 5 pound bag for $9.45 for an 8 for $13.68 Which bag wo
PilotLPTM [1.2K]

Answer: The 8 pound bag

Step-by-step explanation: you divide 9.45 by 5 and you get the unit rate of 1.89 and then you divide 13.68 by 8 and you get the unit rate of 1.71 which means the 8 pound bag is cheaper.

8 0
3 years ago
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