complete the factored form of the algebraic expression 18a + 3 = 3( _____+_____)
Ten years ago in Louisiana, schools averaged 182 pupils for every 10 teachers. Write a ratio for this problem in 3 different ways.
I have no idea how to do this can you help me?
Pablo wrote four division equations with 6 as the quotient. What are the four division equations that he wrote?
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.
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?
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.
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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.
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
Joey has a beach ball with a radius of 20 cm. What volume of air will it hold when fully inflated? [Round to nearest tenth.] A) 83.8 cm3 B) 251.4 cm3 C) 1676.2 cm3 D) 33,493.3 cm3
Answer:
Option D. [tex]33,493.3\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the sphere (beach ball) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=20\ cm[/tex]
substitute
[tex]V=\frac{4}{3}\pi (20^{3})=33,493.3\ cm^{3}[/tex]
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.
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 .
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.
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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)
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%
what's 3 3/4 x 2? SIMPLIFIED
how are adding and subtracting decimals different from multiplying decimals
write a problem you can use the make a table strategy to solve. Then solve the problem.
What will be the lowest common denominator for the fractions 2/3 and 4/5?
A.
30
B.
15
C.
9
D.
18
the quotient of -9 and y
Help Plz, I need to know the Points on the strips.
6.08 kilograms to grams
the bakery made 110 pumpkin muffins. they will packed I boxes with 8 muffins in each box about how many boxes will there be?
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.
Trisha's garden is 9.87 m long and 1.09 m wide what is the area of her garden
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.
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
Ms. Simon uses six different colored pens to grade papers. She has one of each of the following colors: red, purple, green, blue, orange, and black. Determine which statements are true.
The probability of randomly choosing a black pen is .
The probability of randomly choosing either a red or blue pen is .
The probability of randomly choosing an orange pen is about 0.17.
The probability of randomly not choosing a purple or blue pen is about 0.67.
The probability of randomly not choosing a black pen is .
The probability of randomly choosing a green or red pen is about 0.5.
The question revolves around the probability of choosing pens of specific colors. The calculation involves dividing the number of a particular outcome by the total outcomes. For each color pen, the chances are 1 in 6, unless the question asks regarding two colors OR not choosing certain colors.
Explanation:The subject matter of this question is probability, a mathematical concept that measures the likelihood an event will happen. In this case, the event is Ms. Simon picking a pen of a specific color from her collection of six pens.
The formula for probability is P (Event) = Number of Favorable Outcomes / Total Number of Outcomes.
The probability of randomly choosing a black pen is 1/6. The probability of randomly choosing either a red or blue pen is 2/6 or 0.33.The probability of randomly choosing an orange pen is 1/6 or about 0.17.The probability of randomly not choosing a purple or blue pen is 4/6 or about 0.67.The probability of randomly not choosing a black pen is 5/6.The probability of randomly choosing a green or red pen is 2/6 or about 0.33, not 0.5.Learn more about Probability here:https://brainly.com/question/22962752
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The art club had the members vote on three places to take a field trip. The results are in the table. If all of the members voted, what part of the club voted for the Carnegie museum of art?
if 2 2/3 + 1 4/9 how do i = that into a fraction to make it be more understandable
Please can you find this out thx
17 only