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adell [148]
2 years ago
15

Mary had 4 friends over to study for a test. Before her friende arrived, she baked 4 pies to share equally among her and her 4 f

riends. Her roomate ate a half of one of the pies when it came out of the oven. Mary still had to divide the remaining pies equally among herself and her friends. How much pie is each person going to get ? (Please explain it)
Mathematics
1 answer:
ivolga24 [154]2 years ago
5 0

Answer:

7/8

Step-by-step explanation:

3 1/2pies ÷ 4friends = ?

3 1/2 ÷ 4 = .875 (in decimal form)

.875 as a fraction = 7/8

each person will get 7/8 of a pie

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3. Which describes the steps that can be used to solve this problem?
vodka [1.7K]
C. is your answer!

To find the answer to this problem you must find how many ounces there are total in the first part of the problem...3 glasses and 5 oz. in each one (5*3)=15!

Then the extra two ounces you just add on to 15! 15+2=17 total ounces Brad poured!

Hope this helps! Would love brainliest;)
6 0
3 years ago
Read 2 more answers
Solve for x.7x + 14 – 2x = −x + 12 – x − 19A.x = −3B.x = −1C.x = 1D.x = 3
lara31 [8.8K]
7x+14-2x=-x+12-x-19
collect like terms
7x-2x+X+X+19=12-14
7x+19+2
7x=-21
x-21/7
X=-3
4 0
3 years ago
The weight of an organ in adult males has a​ bell-shaped distribution with a mean of 320 grams and a standard deviation of 50 gr
ch4aika [34]

Answer:

a) 68% of organs will be between 270 and 370 grams

b) 95%

c) 5%

d) 97.35%

Step-by-step explanation:

Empirical rule states that

1 standard deviation means a 68% of total area under the normal distribution. On one side is half = 34%.

2 standard deviations means a 95% of total area under the normal distribution. On one side is half = 47.5%.

3 standard deviation means a 99.7% of total area under the normal distribution. On one side is half = 49.85%.

a) Since 1 standard deviation means a 68% of total area under the normal distribution, we have

320 + 50 = 370

320 – 50 = 270

68% of organs will be between 270 and 370 grams

b) Calculate the difference between mean and the percentage of weight of an organ in the problem:

420 – 320 = 100

320 – 220 = 100

Since standard deviation is 50 grams, there is a difference of 2 standard deviations for both sides. According to the rule 95% of the organs are between 200 and 420 grams.  

c) Since 95% of the organs are between 200 and 420 grams, 5% weighs less than 220 grams or more than 420 grams.

d) Calculate the difference between mean and the percentage of weight of an organ in the problem:

420 – 320 = 100

320 – 170 = 150

Since standard deviation is 50 grams, there is a difference of 2 standard deviations for the right side and 2 standard deviations for the left side. According to the rule for 2 standard deviations on one side there is 47.5% and for 3 standard deviations on one side there is 49.85%. so percentage of organs weighs between 170 grams and 420 grams is 47.5% + 49.85% = 97.35%.

8 0
3 years ago
8 ABC please trig assignment
Papessa [141]

Using equivalent angles, the solutions are given as follows:

a) x = \frac{15\pi}{23}.

b) x = \frac{9\pi}{62}, x = \frac{53\pi}{62}.

c) x = \frac{3\pi}{8}, \frac{11\pi}{8}

<h3>What are equivalent angles?</h3>

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

For item a, we have to find the equivalent angle on the 2nd quadrant, where the sine is also positive.

Hence:

\pi - \frac{8\pi}{23} = \frac{23\pi}{23} - \frac{8\pi}{23} = \frac{15\pi}{23}

Hence x = \frac{15\pi}{23}.

For item b, if two angles are complementary, the sine of one is the cosine of the other.

Complementary angles add to 90º = 0.5pi, hence:

x + \frac{11\pi}{31} = \frac{\pi}{2}

x = \frac{31\pi}{62} - \frac{22\pi}{62}

x = \frac{9\pi}{62}

The equivalent angle on the second quadrant is:

\pi - \frac{9\pi}{62} = \frac{62\pi}{62} - \frac{9\pi}{62} = \frac{53\pi}{62}

Hence the solutions are:

x = \frac{9\pi}{62}, x = \frac{53\pi}{62}

For item c, the angles are also complementary, hence:

x + \frac{\pi}{8} = \frac{\pi}{2}

x = \frac{4\pi}{8} - \frac{\pi}{8}

x = \frac{3\pi}{8}

The tangent is also positive on the third quadrant, hence the equivalent angle is:

x = \pi + \frac{3\pi}{8} = \frac{8\pi}{8} + \frac{3\pi}{8} = \frac{11\pi}{8}

Hence the solutions are:

x = \frac{3\pi}{8}, \frac{11\pi}{8}

More can be learned about equivalent angles at brainly.com/question/28163477

#SPJ1

6 0
1 year ago
Can someone help (will give brainliest)
nikklg [1K]

Answer:

384

Step-by-step explanation:

8 x 6 = 48

48 x 2 = 96

12 x 10 = 120

6 x 12 = 72

8 x 12 = 96

96 + 120 + 72 +96 = 384

8 0
2 years ago
Read 2 more answers
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