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3 years ago

Solve the following problem, using mixed number format. 2 and 1/2 + 1 and 1/16 =

Mathematics

1 answer:

77julia77 [94]3 years ago

6 0

Step-by-step explanation:

2 1/2 + 1 1/16

Adding whole number parts and fraction parts together,

(2+1) + (1/2 + 1/16)

= 3 + (1*8/2*8 + 1/16)

= 3 + (8/16 + 1/16)

= 3 + 9/16

= 3 and 9/16

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(30 POINTS AND BRAINLIEST FOR BEST)

Romashka-Z-Leto [24]

Part A)

Multiply the amount he earned by 8.5%

8.5% written as a decimal is 0.085.

75,000 x 0.085 = $6,375

Part B)

Subtract the amount of tax from his earnings:

75,000 - 6,375 = $68,625

8 0

3 years ago

the ratio of girls to boys in the sixth grade is 5:3. If there are 400 sixth graders, how many boys are there?

PilotLPTM [1.2K]

Answer:

boys = 250

girls = 150

Step-by-step explanation:

5g = 3b eq. 1

g + b = 400 eq. 2

g = girls

b = boys

From the eq. 2

g = 400 - b

Replacing this last eq. on eq. 1:

5(400-b) = 3b

5*400 + 5*-b = 3b

2000 - 5b = 3b

2000 = 3b + 5b

2000 = 8b

2000/8 = b

250 = b

From eq. 2

g + 250 = 400

g = 400 - 250

g = 150

Check:

from eq. 1

5*150 = 3*250 = 750

3 0

2 years ago

You buy a car for $22,000 and every year your car depreciates by 14% (in other words, you car decreases in value by 14% every ye

Citrus2011 [14]

Answer:

The car worth in 4 years will be $9,880

4 0

3 years ago

Hi! Can you help me answer this?

Free_Kalibri [48]

Answer:

$C'(x)=-\frac{148}{x^2}$

$R'(x)=-0.06$

Step-by-step explanation:

Marginal average Cost function:

$\frac{d}{dx}(\frac{148+6.3x}{x})=-\frac{148}{x^2}$

Marginal average Revenue function:

$\frac{d}{dx}(\frac{3x-0.06x}{x})=-0.06$

6 0

3 years ago

Read 2 more answers

The probability that Ariana is on time for a given class is 69 percent. If there are 39 classes during the semester, what is the

salantis [7]

Answer:

The best estimate of the number of times out of 39 that Ariana is on time to class is 27.

Step-by-step explanation:

For each class, there are only two possible outcomes. Either Ariana is on time, or she is not. The probability of Ariana being on time for a class is independent of other classes. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The probability that Ariana is on time for a given class is 69 percent.

This means that $p = 0.69$

If there are 39 classes during the semester, what is the best estimate of the number of times out of 39 that Ariana is on time to class

This is E(X) when n = 39. So

$E(X) = np = 39*0.69 = 26.91$

Rounding

The best estimate of the number of times out of 39 that Ariana is on time to class is 27.

8 0

3 years ago