Pierres parents ordered some pizzas for a party . 4.5 pizzas were eaten at the party . There were at least 5 1 half of 2 whole pizzas left over . How many pizzas did pierres parents order

Answers

Answer 1

Answer: Pierres parents ordered 10 pizzas

$5 (1)/(2) = x - 4 (1)/(2)$
$5 (1)/(2) + 4 (1)/(2) = x$
$10 = x$

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A train travels 25 miles in 20 minutes. What is the train speed in miles per hour?
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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 17. What percentage of people has an in score between 83 and 117

Two bicyclists leave the center of town at the same time. One heads due north and the other heads due west. Later, the two cyclists are exactly 25 mi apart. The cyclist headed north has traveled 5 mi farther than the cyclist going west.How far has the cyclist going west traveled?

Answers

Answer:

Distance traveled by bicyclist traveling west = 15 miles

Step-by-step explanation:

These two cyclists travel at angle 90°

Relative displacement can be calculated using Pythagoras theorem.

Let d be the distance traveled by bicyclist traveling west

Distance traveled by bicyclist traveling north = d + 5

$25^2=d^2+(d+5)^2\n\nd^2+d^2+10d+25=625\n\n2d^2+5d-600=0\n\nd^2+5d-300=0\n\nd=(-5\pm √(5^2-4* 1* (-300)))/(2* 1)\n\nd=(-5\pm √(25+1200))/(2)\n\nd=(-5\pm √(1225))/(2)\n\nd=(-5\pm 35)/(2)\n\nd=15miles\texttt{ or }d=-20miles$

Negative displacement is not possible.

Hence d = 15 miles

Distance traveled by bicyclist traveling west = d = 15 miles

This situation is represented in annex.
From Pythagorean theorem you've got equation:
$x^2+(x+5)^2=25 \n \n \hbox{From formula} \ \ \ (a+b)^2 = a^2+2ab+b^2: \n \n x^2+x^2+10x+25=25 \n 2x^2+10x=0 \n \n \hbox{Factor out} \ \ 2x: \n 2x(x+5)=0 \n \n \hbox{So you've got:} \n \n x_1=0 \n x_2=-5$

There isn't any solutions where x>0, so this situation is IMPOSSIBLE.

Did you write correctly this question....?

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Answers

Answer:c,d,a,d

Step-by-step explanation:

Answer:

I can't see it redo it so I can answer

There are two boards, a and b. The total length of both is 28 feet. Board b is at least 5 feet longer than board a, but the difference is not more than 12 feet. What are the possible lengths of the two boards?

Answers

Answer:

Step-by-step explanation:

Let a represent the length of board a.

Let y represent the length of board b.

The total length of both is 28 feet. This means that

a + b = 28

Board b is at least 5 feet longer than board a. This means that

b ≥ a + 5

The difference between both boards is not more than 12 feet. This means that

b - a < 12

Substituting a = 28 - b into b ≥ a + 5, it becomes.

b ≥ 28 - b + 5

2b ≥ 28

b ≥33/2

b ≥ 16.5

16.5 - a < 12

4.5 < a

a > 4.5

The possible lengths of board a is

8 to 11.5 feet

The possible lengths of board b is

16.5 to 20 feet

The table shows data for a class's mid-term and final exams Which data set has the largest IQR?Mid-Term Final
100 98
100 95
100 93
95 91
95 88
92 82
92 78
88 78
85 65
75 60

Answers

Putting the numbers in order;

Mid-term numbers: 100 100 100 95 95 92 92 88 85 75

Median = (95 + 92) / 2 = 93.5

First quarter = Q1 = 100 100 100 95

Median of first quarter = (100 + 100) / 2 = 100

Third quarter = Q3 = 92 88 85 75

Median of third quarter = (88 + 85) / 2 = 86.5

Interquartile range (IQR) can be calculated bysubtracting Q3 from Q1;

IQR of mid-term = 86.5 – 100 = -13.5

Now putting the final term numbers in order;

Final-term numbers: 98 95 93 91 88 82 78 78 65 60

Median = (88 + 82) / 2 = 85

First quarter = Q1 = 98 95 91 88

Median of first quarter = (95 + 91) / 2 = 93

Third quarter = Q3 = 78 78 65 60

Median of third quarter = (78 + 65) / 2 = 71.5

Interquartile range (IQR) can be calculated bysubtracting Q3 from Q1;

IQR of final-term = 71.5 – 93 = -21.5

Thus the IQR of mid-term is the largest.

Is 3 times ( pie to the 49) irrational

Answers

Yes. Any number that has pi in it (when it's simplified) is irrational.

Morgan measures the capacity of a juice glass to be 12 fluid ounces. If she uses the glass to drink 4 glasses of water throughout the day, how many pints of water does morgan drink?

Answers

So,

Morgan drank 4 glasses of water out of a juice glass that contains 12 fluid ounces. To find how many pints Morgan drinks, we need to multiply the number of glasses by the number of fluid ounces, convert from fl. oz. to cups, and convert from cups to pints.

4 * 12 = 48 fl. oz.

8 fl. oz. = 1 cup
48 fl. oz. = 6 cups

2 c. = 1 pt.
6 c. = 3 pt.

Morgan drink 3 pints of water.

approximately 3 liquid pints. (3.00005)

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