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Levart [38]
3 years ago
11

What is 4 2/3 plus 1 6/9 (simplify)

Mathematics
2 answers:
aliina [53]3 years ago
3 0

Answer:

423

Step-by-step explanation:

geniusboy [140]3 years ago
3 0

Answer:

6 + (1/3)

Step-by-step explanation:

4 + (2/3) + 1 + (6/9)

5 + (2/3) + (2/3)

5 + (4/3)

5 + 1 + (1/3)

6 + (1/3)

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m_a_m_a [10]

Answer:

Linear and Negative

Step-by-step explanation:

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3 years ago
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Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of
Rina8888 [55]

Answer:

27/18= 1.5

18/6 = 3

3•1.5= 4.5

Step-by-step explanation:

$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.

5 0
3 years ago
If s denotes the length of the arc of a circle of radius r subtended by a central angle \theta , find the missing quantity.
bulgar [2K]
The correct answer would be D<span>. 2.7 m</span> meters. 

To solve this,
<span>v=<span>s/r
since we have </span></span><span>s = 7.02 meters, \theta = 2.6
</span>Then 
7.02/2.6 = 2.7m

The correct answer is <span>d. 2.7 m. This is the missing quantity which is the radian.
</span>
Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help. 
6 0
4 years ago
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2984 and standard deviation
DedPeter [7]

Answer:

a. The distribution of X is normal.

b. The probability that the customer consumes less than 2863 calories is 0.4213

c. 42.01% of of the customers consume over 3107 calories

d. The fewest number of calories a person must consume to receive the Piggy award is 4131,41 calories.

Step-by-step explanation:

Let X be the calorie of a randomly chosen customer consumes.

a. The distribution of X is normal.

b. The probability that the customer consumes less than 2863 calories =P(x<2863)=P(z<z*) where z* is the z-statistic of X=2863 calorie.

z* can be calculated using the formula

(1) z*=\frac{X-M}{s} where

  • X =2863
  • M is the mean calories consumed by customers at the Chinese buffet (2984)
  • s is the standard deviation (610)

Then z*=\frac{2863-2984}{610} ≈−0.1984

And P(z<z*)=0.4213

c. The proportion of the customers consume over 3107 calories is

1 - the proportion of the customers consume less than 3107 calories.

= 1- P(z<z*) where z* is the z-statistic of X=3107 calorie.

From above formula (1) we get:

z*=\frac{3107-2984}{610} ≈ 0.5799 and 1-0.5799=0.4201

Thus, 42.01% of of the customers consume over 3107 calories

d. The Piggy award will given out to the 3% of customers, and let z* be the z-score of the the fewest number of calories a person must consume to receive the Piggy award, then

P(z>z*)=0.03 (3%) or P(z<z*)=0.97 gives z*= 1.881

From (1), we have the equation 1.881=\frac{X-2984}{610}

We get X= (1.881×610)+2984 =4131,41

The fewest number of calories a person must consume to receive the Piggy award is 4131,41 calories.

7 0
3 years ago
Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much
lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}

(1.0275)^{16}P = 15000

P = \frac{15000}{(1.0275)^{16}}

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

In which:

  • P is the payment.
  • n is the number of payments.
  • r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

6 0
2 years ago
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