There are 15 people in a room. Each person ate 2/3 of a pizza. There was no more pizza remaining. How many pizzas were in the room?

When the number 51,829 is rounded to the nearest thousand, it becomes 52,000 which has three zeros. The process of rounding helps simplify numbers for easy comprehension and calculation.

The question asks about rounding the number 51,829 to the nearest thousand. Rounding involves increasing or decreasing a number to its closest specific multiple. In this case, the closest thousand to 51,829 is 52,000. The rules of rounding dictate that if the number in the hundreds place is 5 or above, we round up. In 51,829, the number in the hundreds place is 8, which is greater than 5, indicating we should round up from 51,000 to 52,000.

If we check how many zeros 52,000 has, it has three zeros. Thus, the rounded number will have three zeros. It's important to remember that the number of zeros often increases when rounding to larger place values like thousands, ten thousands, etc.

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The clearance price of the checker set will be $9.6.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

A store has all tabletop games on special for 25% off the standard cost. A checker set has a deal cost of $12.

Then the regular price of the board games is given as,

⇒ $12 / (1 - 0.25)

⇒ $12 / 0.75

⇒ $16

It is then moved to a leeway table where each thing is limited to 40% off its normal cost.

Then the clearance price of the checker set will be given as,

⇒ (1 - 0.40) x $16

⇒ 0.60 x $16

⇒ $9.6

The freedom cost of the checker set will be $9.6.

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Answer:

Equation of a line that models y is:

y=40-15x

Step-by-step explanation:

Dudley wants to cover 40 miles.

If he travels 30 miles every 2 hours

in 2 hours he covers 30 miles

i.e. 1 hour he covers 15 miles

Miles he is left with after 1 hour=40-15

Miles he is left with after 2 hours=40-15-15=40-15×2

Miles he is left with after x hours of biking=40-15x

If y represents the number of miles he has left to travel, after biking x hours

then, y=40-15x

Hence,  equation of a line that models y is:

y=40-15x

Answer:

It is y = -15x + 40

Step-by-step explanation:

Answer:0.27, 0.33333, 1.25,  1.35?

Step-by-step explanation: hope it helps some one?!

The 7 in the thousands place is ten times greater than the 7 in the hundreds place, adhering to the base-10 structure of our numbering system; other proposed multipliers are incorrect.

The question explores the concept of place value in our decimal numbering system, which is based on powers of ten. Specifically, it examines the comparative value of digits in the thousands and hundreds places. Using the decimal system, each place value to the left is ten times greater than the one immediately to its right.

The second statement suggesting that the 7 in the thousands place is 100 times greater is incorrect; it overlooks the base-10 structure of our numbering system. Finally, the suggestion that the 7 in the thousands place is 7 times greater is also incorrect, as it misinterprets the multiplicative property of the decimal system. Therefore, the 7 in the thousands place being 10 times, 100 times, or 7 times greater than the 7 in the hundreds place aligns with the concept of powers of 10.

The correct statement is: "The average number of days the house stayed on the market before being sold for $150,000." So option (a) is correct.

To find the meaning of  f(150) , we need to understand that  f(p) represents the average number of days a house stays on the market before being sold for price ( p ) in $1,000s.

So,  f(150)  represents the average number of days a house stays on the market before being sold for $150,000.

This means the correct statement is: "The average number of days the house stayed on the market before being sold for $150,000."

To calculate this, let's say there are ( n ) houses that were sold for $150,000. The total number of days these houses stayed on the market would be the sum of days for each house. Then we divide this sum by (n ) to find the average.

Let's say [tex]\( D_i \)[/tex] is the number of days house [tex]\( i \)[/tex] stayed on the market before being sold for $150,000.

[tex]\[ f(150) = \frac{D_1 + D_2 + \cdots + D_n}{n} \][/tex]

Now, let's illustrate the calculation:

Let's assume 5 houses were sold for $150,000 and their days on market were 120, 140, 160, 180, and 200.

[tex]\[ f(150) = \frac{120 + 140 + 160 + 180 + 200}{5} \][/tex]

[tex]\[ f(150) = \frac{800}{5} = 160 \][/tex]

So, [tex]\( f(150) = 160 \)[/tex] which means the average number of days a house stayed on the market before being sold for $150,000 is 160 days. Therefore, the correct statement is: "The average number of days the house stayed on the market before being sold for $150,000."

Complete Question:

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)?

a. This is the average number of days the house stayed on the market before being sold for $150,000.

b. The house sold on the market for $150,000 and stayed on the market for an average of 150 days before being sold.

c. The house sold for $150,000.

d. The house stayed on the market for an average of 150 days before being sold.

Answer:

The number of servings of gelatin is 48

Step-by-step explanation:

step 1

Find out the number of molds

Divide the number of packages of gelatin (8)  by 1 1/3 to obtain the number of molds

Remember that

[tex]1\frac{1}{3}=\frac{1*3+1}{3}=\frac{4}{3}[/tex]

so

[tex]\frac{8}{(4/3)}=\frac{24}{4}=6\ molds[/tex]

step 2

Find out the number of servings of gelatin

we know that

Each mold can be divided into 6 servings

To obtain the number of servings multiply the number of molds by 6

[tex]8(6)=48[/tex]

therefore

The number of servings of gelatin is 48

Kasey can make 36 servings of gelatin based on the number of packages she has and the amount required for each mould.

This question involves a bit of fraction work. Kasey has 8 packages of gelatin and each mold requires 1 1/3 packages of gelatin. As we need to figure out how many molds can be made, we divide the total number of packages by the amount needed for one mold. This equals 8 ÷ 1 1/3, which equals to 6 molds when converted into an improper fraction.

Subsequently, we understand that each mold can be divided into 6 servings. Therefore, Kasey could make a total of 6 molds x 6 servings which equals 36 servings of gelatin.

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6:2:3:4

 for every 6 pairs of wedges she owns 2 Stillettos, 3 sneakers and 4 sandals

18/6 =3

3*2 =6 stilettos

3*3 = 9 sneakers

3*4 =12 sandals

18 + 6 + 9 + 12 = 45 pairs of shoes

Final answer:

Given the ratio 6:2:3:4 for different types of shoes and 18 pairs of wedges, we first find the value of one unit in the ratio by dividing 18 by 6, which equals 3. Multiplying each part of the ratio by 3 gives us the total for each type, and adding those up gives us 45 pairs of shoes in total.

Explanation:

The question asks us to determine the total number of pairs of shoes Ms. Posillico owns based on the given ratio of different types of shoes and the fact that she owns 18 pairs of wedges.

Step-by-step Solution

First, we are given a ratio of 6:2:3:4 for Wedges, Stilettos, Sneakers, and Sandals respectively.

Since we know that there are 18 pairs of wedges, which corresponds to the first number in the ratio (6), we can use this information to find the value of each unit in the ratio.Divide the number of wedges (18) by the ratio number for wedges (6) to find out the value of one unit in the ratio.

Calculate the total number of pairs of shoes by multiplying the number each type of shoe per the given ratio by the value of one unit.

Add up the total pairs for each type of shoes to get the grand total.

Calculation

18 pairs of wedges / 6 = 3 pairs per unit
Then, multiply each part of the ratio by 3 to get:
Wedges: 6 * 3 = 18
Stilettos: 2 * 3 = 6
Sneakers: 3 * 3 = 9
Sandals: 4 * 3 = 12
Add up the total: 18 + 6 + 9 + 12 = 45 pairs of shoes.

Therefore, Ms. Posillico owns 45 pairs of shoes in total.

Answer: 8.50h+60

The reason is because she earns $8.50 per hour so the variable goes next to 8.50 instead of the 60.

The equation (8.50h + 60) will represent Monica's earnings for the week.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given; Monica earned a bonus = $60

Per hour earning in addition to bonus = $8.50

Let she worked for 'h' hours this week.

Then total earning from the hourly rate is $8.50h

The Total earning for the week = Earning of 'h' hours + Bonus earned

= $(8.50h + 60)

Therefore, The equation (8.50h + 60) will represent Monica's earnings for the week.

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The required sequence is 35, 37.5, 40, 42.5, 45

Given that,
To determine a sequence that has three arithmetic means between 35 and 45.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Here,
The difference in the number 45 and 35,
= 45 - 35
= 10
We have to add 3 numbers between 35 to 45
The total number of difference become 4 between the 5 numbers
mean of difference = 10 / 4
                                = 2.5
Now the sequence is given as,
35, 35+2.5, 35+ 2 * 2.5 + 35  + 3 * 2.5 + 45
35, 37.5, 40, 42.5, 45

Thus, the required sequence is 35, 37.5, 40, 42.5, 45

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To find the value of t, set up a proportion using the rates of production for the machines. The equation is (500 + 400)t = 2250. Simplify the equation and solve for t to find that t = 2.5 hours.

To find the value of t, we need to determine how long it takes for the two machines to produce 2250 items together. We can set up a proportion to solve for t using the rates of production for each machine. The proportion is:

(500 + 400)t = 2250

Simplifying the equation, we get:

900t = 2250

Dividing both sides by 900, we find that:

t = 2250/900 = 2.5 hours

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Principal amount describes the money which he wants to borrow.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Pete wants a loan of $1,500.

Now,

Since, We know that;

The principal amount describe the money to borrowed.

Thus, Principal amount describes the money which he wants to borrow.

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divide number of balls by number of matches

42,000 / 650 = 64.615 = 65 balls per match

The solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4

From the question,

We are to solve the open sentence –1 ≤ n + 2 ≤ 6

From the given inequality, we can deduce that

–1 ≤ n + 2

Solving for the variable, n

-1 -2 ≤ n

-3 ≤ n

Then,

n ≥ -3

We can also deduce that,

n + 2 ≤ 6

Solve for n by collecting like terms

n ≤ 6 -2

n ≤ 4

Hence, the solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4

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Bob is saving $15 every month by switching his mobile phone plan from Verizon to Tmobile.

This question involves understanding and solving a mathematical equation associated to a real-life context, which in this case refers to mobile phone plans and their costs. Using the provided information, we first establish that Bob's plan with Tmobile costs $70 per month, and this includes the cost of his new iPhone 6s which adds an additional $27.50 to his monthly plan.

Based on these numbers, we can uncover the cost of the plan itself (excluding the phone) by subtracting $27.50 from $70, giving us $42.50. This, according to the question, is half the cost of Bob's old Verizon plan. Therefore, to find the total cost of the Verizon plan, we double the cost of the Tmobile plan, resulting in $85 per month.

So, the monthly savings Bob makes by switching from Verizon to Tmobile is the difference between the old Verizon cost ($85) and the new T-mobile cost ($70), which amounts to $15.

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