The question is about solving the algebra equation derived from the statement 'Ten less the quotient of a number and 3 is 6'. The equation is x/3-10=6 and through algebraic operations, we find that the solution is x = 48.
Explanation:The subject of your question is Algebra, which is a branch of Mathematics. From your question, 'Ten less the quotient of a number and 3 is 6', we can write the algebraic equation. First, 'the quotient of a number and 3' is represented as x/3. Then, 'ten less' means we subtract 10 from the result. Lastly, 'is 6' means equals to 6. Therefore, the equation is: x/3 - 10 = 6.
To solve this equation, first of all, you should deal with the subtraction by adding 10 to both sides of the equation, which gives you x/3 = 16. Secondly, you then get rid of the fraction by multiplying both sides by 3, which yields x = 48. Hence 48 is the solution to your algebraic equation.
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The function m=30-3r represents the amount m (in dollars) of money you have after renting r video games.
Find the domain and the range of the function. Is the domain discrete or continuous? Explain.
Domain and Range of the function are [tex][0, 10] \; \&\; [0,30][/tex] and it is a discrete function.
Explanation:
Given: The function [tex]m=30-3r[/tex] represents the amount [tex]m[/tex] (in dollars) of money you have after renting [tex]r[/tex] video games.
According to question,
Function is [tex]m=30-3r[/tex].
Domain of function is calculated as [tex]30-3r=0[/tex]
[tex]-3r=-30\\[/tex]
[tex]r=\frac{-30}{-3} \\r=10[/tex]
Domain of function is [tex][0, 10][/tex].
Now, range of the function is the value which is dependent variable on domain of the function.
Range of the function is [tex][0,30][/tex].
Here, The given function [tex]m=30-3r[/tex] is discrete because the values of [tex]r[/tex] and [tex]m[/tex] cannot take every value in the number line.
Therefore, Domain and Range of the function are [tex][0, 10] \; \&\; [0,30][/tex] and it is a discrete function.
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Is 1/8<-1/2 a solution or no?
how would you simplify 9v-12v
the apartment complex has 20 apartment per buildings 4 apartment are 3 bedroom apartment, 7 are 2 bedroom unit,and 9 apartment are 1 bedroom units.if the apartment complex builds 50 buildings how many 3 bedroom units would they have?
If each building in the apartment complex has 4 three-bedroom units and they build 50 buildings, there would be 200 three-bedroom apartments total.
Explanation:To answer how many 3-bedroom apartments would be in the complex if they built 50 buildings, start by considering the number of 3-bedroom apartments in one building. You've advised that this number is 4. Thus, to find the total number of 3-bedroom apartments in 50 buildings, you would multiply 4 (the number of 3-bedroom apartments per building) by 50 (the number of buildings). This calculation yields: 4 * 50 = 200. So, there would be 200 three-bedroom apartments in the complex if 50 buildings were constructed.
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A nutrition label indicates that one serving of Apple crisp oatmeal has 2.5 grams of fat. How many grams of fat are there in 3.75 servings? Justify your answer
To find the total grams of fat in 3.75 servings of Apple crisp oatmeal, multiply the fat per serving (2.5 grams) by the number of servings, resulting in 9.375 grams of fat.
To calculate the number of grams of fat in 3.75 servings of Apple crisp oatmeal, we can multiply the amount of fat in one serving by the number of servings. Given that one serving contains 2.5 grams of fat, we would perform the following calculation:
2.5 grams of fat/serving times 3.75 servings = 9.375 grams of fat
Therefore, there are 9.375 grams of fat in 3.75 servings of Apple crisp oatmeal. The nutrition label helps us understand the nutritional content of food, like the breakdown of macronutrients such as fats, carbohydrates, and proteins, as well as the caloric content of these macronutrients.
Convert 2.5 into a whole number
during the NBA finals LeBron James scored six more points than kyrie Irving as Kevin love scored four more points than kyrie. How many points did they score if they scored 70 points a'll together?
Answer:
Step-by-step explanation:
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A culture of 1.75×1018 bacteria is in petri dish A. A culture of 6.25×1015 bacteria is in petri dish B. How many times greater is the number of bacteria in petri dish A than petri dish B
Petri dish A has 280 times more bacteria than petri dish B.
To determine how many times greater the number of bacteria in petri dish A is compared to petri dish B, we use division.
The number of bacteria in petri dish A is [tex]1.75*10^{18[/tex].The number of bacteria in petri dish B is [tex]6.25*10^{15.[/tex]We divide the number of bacteria in dish A by the number of bacteria in dish B: [tex](1.75*10^{18}) / (6.25*10^{15})[/tex].Since division of exponents with the same base involves subtracting the exponents, we have: [tex]1.75 / 6.25 * 10^{(18-15)} = 0.28 * {10^3.[/tex]Converting 0.28 into a coefficient with a single digit gives us [tex]2.8 * 10^2.[/tex]Thus, the number of bacteria in petri dish A is 280 times greater than in petri dish B.Triangle PQR is transformed to similar triangle P’Q’R’:
A coordinate plane is shown. Triangle ABC has vertices A at 2 comma 6, B at 2 comma 4, and C at 4 comma 4. Triangle A prime B prime C prime has vertices A prime at 1 comma 3, B prime at 1 comma 2, and C prime at 2 comma 2.
What is the scale factor of dilation?
1 over 2
1 over 3
1 over 4
1 over 5
Triangle ABC was dilated by a scale factor of 1/2 to form similar triangle P’Q’R’.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a scale factor.
Triangle ABC was dilated by a scale factor of 1/2 to form similar triangle P’Q’R’.
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A crew ship has 148 rooms with fifty on each of the two upper decks and the rest on the two lower decks.An upper deck room cost $1,000 and the lower deck room costs $900. Use the four-step plan to find the greatest possible room sales on one trip.
Final answer:
To find the greatest possible room sales on the cruise ship, multiply the number of rooms on each deck by their respective prices and add the totals, resulting in a maximum possible sale of $143,200 for one trip.
Explanation:
The question involves finding the greatest possible room sales on a cruise ship during one trip. There are a total of 148 rooms, with fifty rooms on each of the two upper decks, totaling 100 upper deck rooms. The remaining 48 rooms are therefore on the two lower decks. Since an upper deck room costs $1,000 and a lower deck room costs $900, the greatest possible room sales can be calculated by assuming all rooms are occupied during a trip.
The total sales from the upper deck rooms would be 100 rooms × $1,000, which equals $100,000. The sales from the lower deck rooms would be 48 rooms × $900, which equals $43,200. Therefore, the greatest possible room sales on one trip would be the sum of the upper and lower deck sales:
Adding these together yields a total of $100,000 + $43,200 = $143,200 for the greatest possible room sales on one trip.
Please find the value of x
4x+26 = 12x-38
4x+64=12x
64 = 8x
x = 64/8 = 8
x = 8
You caught a red snapper that is 8 5/12 inches long. Your friend caught a red snapper that is 8 6/13 inches long. Who caught the larger red snapper?
Please show work so I can understand
Which statement is true about a line and a point?
A point and a line have length as a dimension to measure.
A point is a location, and a line has many points located on it.
A line and a point cannot lie on the same plane.
A line and a point cannot be collinear.
pls help :(
Answer:
B. A point is a location, and a line has many points located on it.
Step-by-step explanation:
Find the three consecutive odd integers whose sum is 36.
Answer: No solution
Step-by-step explanation: We can start this problem in the usual way by setting up our three consecutive odd integers as followed.
X ⇒ first integer
X + 2 ⇒ second integer
X + 4 ⇒ third integer
X + (X + 2) + (X + 4) = 36
3x + 6 = 36
-6 -6
3x = 30
÷3 ÷3
X = 10
Notice however that 10 is an even number and in the original problem, we are asked to find odd integers. Even though we can work this problem all the way through, we say that this answer doesn't make sense so we say there is no solution.
first person to answer all will earn bristliest
1. what is -6y+17=3y-10
2. what is 3x-32= -7x+28
3. what is 3.2-16=4a
4. what is 16.8-v=6v
Emily can ride her scooter 18 miles in 50 minutes at same rate how far she ride in 2 hrs
Emily's scooter riding speed is 0.36 miles per minute. Multiplying this rate by 120, the number of minutes in 2 hours, we find that she would be able to travel a distance of 43.2 miles in 2 hours.
Explanation:To answer your question, we first need to find what Emily's speed is. That's how fast she's going. We know that Emily can ride her scooter 18 miles in 50 minutes. So, her speed is 18 miles/50 minutes. When we calculate this, it comes out to be 0.36 miles per minute.
The problem wants us to determine how far Emily can ride in 2 hours if she continues at this same speed. Since there are 120 minutes in 2 hours, we have to multiply her rate by 120.
Doing the multiplication: 0.36 miles/minute * 120 minutes = 43.2 miles. So, Emily could travel 43.2 miles in 2 hours at the same rate.
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A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student portal who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. The total cost of the students tickets is $209. Joining the frequent visitor program at the planetarium costs $5 per year. Write an equation that can be used to determine n, the number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member.
Let us say that:
x = number of students who are members.
Since both groups went together to the planetarium, therefore this means that 19-x is the number of students who are not member
Since x paid $11 for tickets and (19-x) paid $13 so the total cost of the tickets is:
$11x + $13(19-x) = $209
Solving for x would get us the number of members:
11x + 247 – 13x = 209
-2x = -38
x = 19
Therefore this means that all students are members.
what is 0.14, 1/8, and 1.9% ordered from least to greatest?
To order 0.14, 1/8, and 1.9% from least to greatest, we first convert them all to decimal form, which gives us 0.14, 0.125, and 0.019 respectively. The ordered list from least to greatest is 1.9%, 1/8, 0.14.
The question requires ordering the numbers 0.14, 1/8, and 1.9% from least to greatest. First, we convert all numbers to decimal form: 0.14 remains the same, 1/8 is equivalent to 0.125, and 1.9% is the same as 0.019 when converted to decimal form. Now, we have 0.14, 0.125, and 0.019. Ordering these decimals from least to greatest, we get 0.019, 0.125, and 0.14.
Therefore, when ordered from least to greatest, 1.9%, 1/8, and 0.14 become 1.9%, 1/8, and 0.14 respectively.
Alberto is saving money to buy a pair of shoes that cost $58 He already saved $ 32 he still needs to save d dollars
jennifer has started a blog and is using the bar chart below to keep track of how many followers she has, how many followers will she has on day n, pattern is adding 2 followers every day
A tour bus travels 2,160 miles in 36 hours. What is the average distance the bus travels in one hour?
find the measure of an angle whose compliment is seventeen times its measure.
Write a word problem for an expression that is three times as grest as (15+7). Then write the expression.
Lindsey buys 15 grapes, and then she adds 7 more. She decided to go back to the store and buy 3 times as many.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Write a word problem for an expression that is three times as great as (15+7).
Lindsey purchases 15 grapes, then she purchases an additional 7. She made the decision to return to the store and purchase three more.
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What is the unit price for 3 1/4 yards for $13?
There is a seven 1/2% sales tax added to the party bill. Mrs. Gutierrez also wants to add an 18% tip for the servers. This will be figured before tax is added. What will be the total cost of the party?
Choose the correct definition for this term. median
A. middle value
B. average
C. most frequent value
Solve the following system of equations algebraically
-24-8x=12y
1+5/9y=-7/18x
Solve the inequality for b
10 ≥ - 2/3 (9+12B)
Final answer:
To solve the inequality 10 ≥ - 2/3 (9+12B) for b, first eliminate the fraction by multiplying both sides by -3/2, then isolate b, resulting in b ≥ -2.
Explanation:
The student has asked to solve the inequality for b: 10 ≥ - 2/3 (9+12B). To do this, follow these steps:
Multiply both sides of the inequality by the reciprocal of -2/3, which is -3/2, to get rid of the fraction. This step is crucial for simplifying the inequality.
The inequality becomes: -15 ≤ 9 + 12B.
Subtract 9 from both sides to isolate the term with b on one side: -24 ≤ 12B.
Divide both sides by 12 to solve for b: b ≥ -2.
Therefore, the solution to the inequality 10 ≥ - 2/3 (9+12B) is b ≥ -2.
is 2/3 a irrational number rational number integer or whole number?
mrs. jenkins was arranging chairs for a school awards assembly. each row contained 15 chairs. if there were 21 rows many chairs had to be arranged?
Answer: 315 chairs had to be arranged .
Step-by-step explanation:
Given : Mrs. Jenkins was arranging chairs for a school awards assembly.
Number of chairs in each row = 15
Then by using MULTIPLICATION OPERATION, the number of chairs in 21 rows :-
[tex]15\times21=315[/tex]
Therefore, the total number of chairs had to be arranged =315