Part 1: Pizza and tacos will be served on the same day again in 11 school days.
Part 2: No, pizza and tacos will not be served on the same day in 21 school days because 21 is not divisible by the LCM of 4 and 3, which is 12.
Part 1: To find the number of school days until pizza and tacos are served on the same day again, we need to find the least common multiple (LCM) of 4 and 3, which represents the cycle length for both pizza and tacos.
Find the least common multiple (LCM) of 4 and 3.
LCM(4, 3) = 12
Subtract 1 from the LCM to find the number of school days until pizza and tacos are served on the same day again.
Number of school days = LCM(4, 3) - 1
Number of school days = 12 - 1
Number of school days = 11
Therefore, pizza and tacos will be served on the same day again in 11 school days.
Part 2: To determine if pizza and tacos will be served on the same day in 21 school days, we need to check if 21 is divisible by the LCM of 4 and 3, which is 12.
Divide 21 by the LCM of 4 and 3.
21 ÷ 12 = 1, with a remainder of 9
Since the remainder is not 0, pizza and tacos will not be served on the same day in 21 school days.
Explanation: The cycle of pizza and tacos being served on the same day repeats every 12 school days (LCM of 4 and 3). If the number of school days is divisible by 12, then pizza and tacos will be served on the same day. However, since 21 is not divisible by 12 (it has a remainder of 9), pizza and tacos will not be served on the same day in 21 school days.
Complete question:
Part 1: Pizza is served in the school cafeteria every fourth school day. Tacos are served every third school day. Both pizzas and tacos are served today. In how many school days will pizza and tacos be served on the same day again? Part 2: If the pattern continues, will pizza and tacos be served on the same day in 21 school days? Explain why or why not.
A bakery used 475 pounds of apples to make 1,000 apple tarts .Each tart contains the same amount of apple. How many pounds of apples are used in each tart
By dividing 475 pounds of apples by 1,000 tarts, we find that each tart contains 0.475 pounds of apples.
Explanation:To find out how many pounds of apples are used in each tart, we divide the total amount of apples used by the total number of tarts made. In this case, the bakery used 475 pounds of apples to make 1,000 apple tarts. So, we calculate 475 pounds ÷ 1,000 tarts, which gives us 0.475 pounds of apples per tart.
Final answer:
To find out how many pounds of apples are used in each tart, divide the total amount of apples used by the number of tarts. In this case, each tart contains 0.475 pounds of apples.
Explanation:
To find out how many pounds of apples are used in each tart, we need to divide the total amount of apples used by the number of tarts. In this case, the bakery used 475 pounds of apples to make 1,000 apple tarts. So, to find out how many pounds of apples are used in each tart, we can divide 475 by 1,000:
475 pounds ÷ 1,000 tarts = 0.475 pounds per tart
Therefore, each tart contains 0.475 pounds of apples.
Please can you find this out thx
17 only
Use the distributive property to evaluate each expression (6+4)(-12)= -6(9-4)= 5(-6+4)= 4(8 - 7)= (5 - 7)(-3)=
To evaluate expressions using the distributive property, you multiply the term outside the parenthesis by each term inside it separately. This process is carried out for each term, considering the sign rules for multiplication. The result is the sum of these individual products.
Explanation:When using the distributive property to evaluate each expression, we multiply the outer number by each of the terms inside the parenthesis.
For (6+4)(-12), we distribute -12 to both 6 and 4: (-12 × 6) + (-12 × 4) = -72 + -48 = -120.In -6(9-4), we distribute -6 to 9 and -4: (-6 × 9) + (-6 × -4) = -54 + 24 = -30.For 5(-6+4), we distribute 5 to -6 and 4: (5 × -6) + (5 × 4) = -30 + 20 = -10.With 4(8 - 7), we distribute 4 to 8 and -7: (4 × 8) + (4 × -7) = 32 - 28 = 4.Lastly, for (5 - 7)(-3), we distribute -3 to 5 and -7: (-3 × 5) + (-3 × -7) = -15 + 21 = 6.Remember, when multiplying two numbers with similar signs, the result is positive, and when multiplying numbers with opposite signs, the result is negative.
Ryan earns $20.16 working for 3 hours. How much does he earn per hour?
complete the factored form of the algebraic expression 18a + 3 = 3( _____+_____)
6.08 kilograms to grams
how are adding and subtracting decimals different from multiplying decimals
to figure out how many hours it will take to drive from his home to his's cousin's house,a student divides 289 by 60 and estimates that it will take about 4.5 hours.explain whether you think this a reasonable estimate
the quotient of -9 and y
On Wednesday, Abby and Lauren could not practice together, so they practiced separately. Abby practiced for 11/12 of an hour and Lauren practiced for 2/3 of an hour. How long did they practice in Wednesday?
Abby and Lauren practiced for a 1 hour and 7 minutes.
To find out how long Abby and Lauren practiced together on Wednesday, we need to add the time they each practiced individually.
1. First, we need to express the times practiced in the same form, preferably as fractions:
Abby's practice time: 11/12 of an hour
Lauren's practice time: 2/3 of an hour
2. Next, we need a common denominator to add these fractions. The least common multiple of 12 and 3 is 12:
2/3 = 8/12
3. Now, add the fractions:
11/12 + 8/12 = 19/12
Therefore, Abby and Lauren practiced for a total of 19/12 hours or 1 hour and 7 minutes on Wednesday.
I have no idea how to do this can you help me?
PLEASE HELP 99 POINTS PLUS BRAINIEST ANSWER.
1. Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi.
To the nearest tenth of a percent, what is the percent error in Mark's estimate?
Enter your answer in the box.
2. The price of a wallet is $31.95 and the sales tax is 7.5%.
What is the total cost of the wallet?
Enter your answer in the box.
3. A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales.
What is the salesman's commission as a percent of his total monthly sales?
Enter your answer in the box.
4. The Picture Below.
Answer:
(1)The percentage error is 6.897 % .
(2)The total cost of the wallet is $34.35 .
(3)The salesman's commission as a percent of his total monthly sales is 4% .
(4)The interest is $5400 .
Step-by-step explanation:
First part
Formula
[tex]Percentage = \frac{Change\ in\ value\times 100}{Exact\ value}[/tex]
Change in value = |Approx value - Exact value|
As given
Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi.
Approx value = 15.5 mi
Exact value = 14.5 mi
Change in value = |15.5 - 14.5|
= 1
Put all the values in the formula
[tex]Percentage\ error = \frac{1\times 100}{14.5}[/tex]
[tex]Percentage\ error = \frac{100}{14.5}[/tex]
Percentage error = 6.897 % (Approx)
Thus the percentage error is 6.897 % .
Second part
The price of a wallet is $31.95 and the sales tax is 7.5%.
7.5% is written in the decimal form
[tex]= \frac{7.5}{100}[/tex]
= 0.075
Sales tax price = 0.075 × Price of the wallet
= 0.075 × $31.95
= $2.4 (Approx)
Total cost of the wallets = Cost of the wallet + Sales tax price
= $31.95 + $2.4
= $34.35
Therefore the total cost of the wallet is $34.35.
Third part
Formula
[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]
A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales.
Part value = $165
Total value = $4125
Put all the values in the formula
[tex]Percentage = \frac{165\times 100}{4125}[/tex]
[tex]Percentage = \frac{16500}{4125}[/tex]
Percentage = 4%
Therefore the salesman's commission as a percent of his total monthly sales is 4% .
Fourth part
Formula
[tex]Simple\ interest = \frac{Principle\times Rate\times Time}{100}[/tex]
Principle = $12000
Rate = 15%
Time = 3 years
Put all the values in the formula
[tex]Simple\ interest = \frac{12000\times 15\times 3}{100}[/tex]
[tex]Simple\ interest = \frac{540000}{100}[/tex]
Simple interest = $5400
Therefore the interest is $5400 .
during the 2011 season, a quarterback passed for 302 yards per game. he played 16 games how many total yards did he have?
4,832 yards
Further explanationGiven:
During the 2011 season, a quarterback passed for 302 yards per game. He played 16 games.Question:
How many total yards did he have?
The Process:
During the 2011 season, a quarterback passed for 302 yards per game, and he played 16 games.
To find out how many yards he has in the 2011 season, we must multiply the number of passes per game by the number of games he has played.
[tex]\boxed{ \ 302 \times 16 = \ ? \ }[/tex]
Let us use the following strategy:
[tex]\boxed{ \ 302 = 300 + 2 \rightarrow (300 + 2) \times 16 = \ ? \ }[/tex]
Recall that [tex]\boxed{ \ a \times (b + c) \leftrightharpoons (a \times b) + (a \times c) \ }[/tex]
[tex]\boxed{ \ = (300 + 2) \times 16 \ }[/tex]
[tex]\boxed{ \ = (300 \times 16) + (2 \times 16) \ }[/tex]
[tex]\boxed{ \ = (3 \times 16 \times 100) + (2 \times 16) \ }[/tex]
[tex]\boxed{ \ = (48 \times 100) + (32) \ }[/tex]
[tex]\boxed{ \ = (4,800) + (32) \ }[/tex]
[tex]\boxed{\boxed{ \ 4,832 \ }}[/tex]
Thus, he had 4,832 total yards during the 2011 season.
Learn more How many times does he switch strokes during the race? brainly.com/question/11494844 7 copies of the sum of 8 fifths and 4 brainly.com/question/961462 [tex]\frac{2}{3}[/tex] of the product of [tex]\frac{3}{8}[/tex] and 16 brainly.com/question/961462Keywords: during, the 2011 season, a quarterback passed, for 302 yards, per game, and, he played, 16 games, how many, total, he have, 4,832
how many 1/4 cups of cereal must be poured into a bowl so that it has two cups of cereal? (use digit 0-9)
What will be the lowest common denominator for the fractions 2/3 and 4/5?
A.
30
B.
15
C.
9
D.
18
the pressure on a scuba diver at sea level is 14.7 pounds per square inch. The pressure in creases 0.445 psi for each foot of depth. Suppose the pressure on a diver is 41.4 psi. How deep is she? Please include the equation. Thanks
The equation for pressure at depth is:
P = 14.7 + 0.445*d
The diver is approximately 59.101 feet deep.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
With the given information,
The equation for pressure at depth is:
P = 14.7 + 0.445*d
where P is the pressure in pounds per square inch (psi), d is the depth in feet, and 14.7 is the pressure at sea level.
To find the depth of the diver given a pressure of 41.4 psi, we can rearrange the equation and solve for d:
d = (P - 14.7) / 0.445
Plugging in the given pressure:
d = (41.4 - 14.7) / 0.445
d = 59.101 feet
Therefore,
The diver is approximately 59.101 feet deep.
Learn more about equations here:
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Sue likes to be help____ and clean up her table
what's 3 3/4 x 2? SIMPLIFIED
Five less than 3 times a certain number is equal to the original number plus 7 what is the original number? ´-`）
Five less than 3 times a certain number is equal to the original number plus 7. The original number is 6.
How to estimate the original number?From the above given information, we get
3x-5 = x+7
Adding 5 to both sides of the equation, we get
3x-5+5 = x+7+5
Simplifying the above equation
3x = x+12
Subtract x from both sides
3x-x = x+12-x
Simplify
2x = 12
Divide both sides by 2
[tex]$\frac{2 x}{2}=\frac{12}{2}[/tex]
Simplify
x = 6
Therefore, the original number is 6.
To learn more about algebra
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Final answer:
To solve the student's problem, which is an algebraic expression, we set up an equation (3x - 5 = x + 7) and solve for x to find that the original number is 6.
Explanation:
The equation inspired by the student's question can be represented algebraically. This type of problem is a linear equation and an essential concept in algebra.
First, let's let the variable x represent the certain number. The problem states that five less than three times this number is equal to the number plus seven. The equation based on the problem statement is:
3x - 5 = x + 7
To solve for x, we can simplify and rearrange the equation:
Move all the terms with x to one side of the equation by adding -x to both sides:
3x - x - 5 = x - x + 7 2x - 5 = 7
Add 5 to both sides to isolate the term with x:
2x - 5 + 5 = 7 + 5 2x = 12
Divide both sides by 2 to solve for x:
2x/2 = 12/2 x = 6
Therefore, the original number, represented by x, is 6.
Trisha's garden is 9.87 m long and 1.09 m wide what is the area of her garden
if 2 2/3 + 1 4/9 how do i = that into a fraction to make it be more understandable
Help Plz, I need to know the Points on the strips.
the bakery made 110 pumpkin muffins. they will packed I boxes with 8 muffins in each box about how many boxes will there be?
You entered a contest through your local television station. There is one first prize of a new car! There are 5 second place prizes of $1000, and 20 third place prizes of $100. If there are 2000 entries, what is the chance that you will win one of the 2nd place prizes?
Answer:
[tex]\frac{1}{400}[/tex] or 0.0025 0r 0.25%
Step-by-step explanation:
There are three categories that will get a prize
1) First place = 1 person
2) Second place = 5 persons
3) Third place = 20 persons
A total of 26 people will get prizes.
However, we want to determine your chance to win one of the second place prizes
There are 5 prizes in second place
This means out of a total of 2000 people, you could be among the 5
i.e 5 out of 2000
This is [tex]\frac{5}{2000} = \frac{1}{400} = 0.0025[/tex]
This means you have a chance of 1 out of 400
= 0.25%
Ten years ago in Louisiana, schools averaged 182 pupils for every 10 teachers. Write a ratio for this problem in 3 different ways.
Which of the following statements contain a variable? Check all that apply.
A. Half the speed of the car.
B. They scored 27 points.
C. Eighty miles per hour.
D. The number of different colors on the page.
write a problem you can use the make a table strategy to solve. Then solve the problem.
Jamie is painting a toybox shaped like a rectangular prism with dimensions 3 feet by 2 feet by 1 foot. If she is planning to paint all sides of the box, what is the surface area that she must cover?
a nail is 0.1875 inches thick.what is it's thickness as a fraction?
Final answer:
The thickness of a nail that is 0.1875 inches can be converted to a fraction by expressing it in terms of eighths of an inch, resulting in a fractional thickness of 3/16 inches.
Explanation:
To convert the thickness of a nail from inches to a fraction, we can express the decimal 0.1875 inches in terms of fractional parts of an inch. Since there are 16 eighths in a whole, we can multiply both the numerator and denominator of the fraction 1875/10000 by a number that gives us a denominator that is a multiple of 8. Multiplying both by 2 gives us 3750/20000, which simplifies to 3/16 when we divide both numerator and denominator by 1250.
Therefore, the thickness of the nail is 3/16 inches as a fraction.
Which description best describes the graph?
Linear increasing
Linear decreasing
Nonlinear increasing
Nonlinear decreasing
Answer: Hello there!
Let's analyze the graph.
The first thing you can see is that when x increases, y decreases. This means that our function is decreasing.
Now we need to see if it is linear or nonlinear. You can see that the function starts decreasing slowly and it gets sharper when x grows (in the graph you can see a little curve). A linear function is graphed with a straight line, and we can see that is not this case, then our function is nonlinear.
So the correct answer is Nonlinear decreasing, the fourth option.