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svetlana [45]
3 years ago
12

What values of b satisfy 4(3b + 2)2 = 64?

Mathematics
1 answer:
Vikentia [17]3 years ago
8 0
Given the equation 4(3b + 2)² = 64, dividing both sides of the equation by 4, we have (3b + 2)² = 16 and getting the square root of both sides, (3b + 2) = 4 and (3b + 2) = -4 We can solve for b for each equation and have 3b = 2 | 3b = -6 b = 2/3 | b = -2 Therefore, the values of b are 2/3 and -2 and from the choices, the answer is <span>A: b = 2/3 and b = -2.</span>
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Each of the digits 3, 4, 6, 7, 8, and 9 is used once and only once to form a six-digit integer. What is the largest six-digit mu
Fofino [41]

Answer:

  • 987436

Step-by-step explanation:

The number is divisible by 4 if the number formed by the last two digits is divisible by 4.

Since we are looking for the largest possible option, lets try 2-digit numbers formed by the given digits.

The smallest 2-digit number that is divisible by 4 is 36

<u>Then the largest number is:</u>

  • 987436

4 0
3 years ago
Joseph owns a small business selling bagels. He knows that in the last week 71 customers paid cash, 4 customers used a debit car
Dovator [93]

Probability helps us to know the chances of an event occurring. The probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,

\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Given that in the last week 71 customers paid cash, 4 customers used a debit card, and 36 customers used a credit card. Therefore, the total number of customers who came to the business last month is,

Total number of customers = 71 + 4 + 36 = 111

Now, the probability that the next customer will pay with cash is,

Probability

= Number of customers who pay with cash / Total number of customers

= 71 / 111

= 0.63963

To convert probability into percentage multiply it by 100%, therefore, the probability can be written as,

Probability = 0.63963 × 100%

                  = 63.963% ≈ 64%

Hence, the probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

Learn more about Probability here:

brainly.com/question/795909

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7 0
1 year ago
The counters in a bag are red or blue one fifth of the counters are red work out the ratio of red counters to blue counters
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Answer:

The counters in a bag are red or blue. Assume 5 in total.

Step-by-step explanation:

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4 years ago
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Here is a right-angled triangle.
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Answer:

Hypotenuse = 10 Cm

Step-by-step explanation:

Given:

θ = 60°

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Hypotenuse = x cm

Find:

Hypotenuse

Computation:

Cos θ = Base / Hypotenuse

Cos 60° = 5 / Hypotenuse

0.5 = 5 / Hypotenuse

Hypotenuse = 10 Cm

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3 years ago
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