333 folders cost \$2.91$2.91dollar sign, 2, point, 91. which equation would help determine the cost of 222 folders? choose 1 answer:
Answers
The equation that would help determine the cost of 222 folders is:
\( \frac{{\$2.91}}{{333}} = \frac{{x}}{{222}} \)
To find the cost of 222 folders, we can set up a proportion based on the given information. The proportion states that the cost of 333 folders is $2.91. We can use this proportion to find the cost of 222 folders.
Let's analyze the equation \( \frac{{\$2.91}}{{333}} = \frac{{x}}{{222}} \):
- The numerator on the left side represents the cost of 333 folders, which is $2.91.
- The denominator on the left side represents the total number of folders, which is 333.
- The numerator on the right side represents the cost of 222 folders, which is unknown and denoted as \(x\).
- The denominator on the right side represents the total number of folders, which is 222.
By setting up this equation, we can solve for \(x\), which represents the cost of 222 folders. We can cross-multiply and solve for \(x\) using algebraic techniques. Once we have the value of \(x\), we will know the cost of 222 folders based on the given information.
Therefore, the equation \( \frac{{\$2.91}}{{333}} = \frac{{x}}{{222}} \) would help determine the cost of 222 folders.
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Related Questions
Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph. How many hours did the trip take?
a.)6 hours
b.)3 hours
c.)8 hours
Answers
Answer:
6 hrs.
Step-by-step explanation:
train time = plane time
x/55 = (1020-x)/285
Cross-multiply to get:
285x = 55(1020-x)
285x = 55*1020 - 55x
340x = 55*1020
x = 165 miles
----
train time = 165/55 = 3 hrs
plane time = (1020-165)/285 = 3 hrs
------------------------------------------
Total time = 6 hrs
if you solve this i will give you brainlist
2+2=x solve for x
Answers
Answer:
4
Step-by-step explanation:
2 + 2 = 4
b. Write and graph an inequality to represent the length l of each striped bass you are allowed to catch.
Answers
Answer:
a)
\(b\leq3\)b)
\(l\ge18\)
Explanation:
a) Let b represent the number of striped bass one is allowed to catch.
Since we're only allowed to catch at most 3 striped basses, that is, the number of striped basses can be less than or equal to 3 but not more, we can go ahead and write the inequality as seen below;
\(b\leq3\)See below the graph of the above inequality on a number line;
b) Let l represent the length of each striped bass
Since each striped bass must not be less than 18 inches long, that is, each striped bass can
be more than or equal to 18 inches in length but not less, we can go ahead and write the inequality as seen below;
\(l\ge18\)Graphing on a number line, we'll have;
3/4 - 1/8 how much is it? help me please
Answers
Answer:5/8
Step-by-step explanation:
\(\begin{gathered} \boxed{ \sf \frac{3}{4} - \frac{1}{8}} = \\ \\ \sf \frac{8 \div 4 \times 3 - 8 \div 8 \times 1}{8} = \\ \\ \sf\frac{6 - 1}{8} = \\ \\ \sf \boxed{ \sf\frac{5}{8}} \end{gathered}\)
Therefore, the result of this subtraction of fractions is five eighths.
How to subtract unlike fractions:
Heterogeneous fractions are fractions that have different denominators.
To subtract heterogeneous fractions we follow these steps:
We find the common denominator, which is the least common multiple of the denominators. We divide the common denominator by the other denominator and multiply by the numerator.We will write the above results as numerators with the subtraction sign between them.We subtract the numerators.We simplify the result if possible.The Alpha.If the graph of f(x) contains the coordinates (0, 1) and (4, 16), which of the
following coordinates must be on the graph of the inverse of f(x)?
a. (-4,-16)
b. (16,4)
c. (0,-1)
d. (-16,-4)
e. (0,1)
Answers
Answer:
b. (16 , 4)
Step-by-step explanation:
f(x): 0 -> 1 , 4 -> 16
f⁻¹(x): 1 -> 0 , 16 -> 4
plss help!!
x: 0, 3, 6, 9
y: 2, 8, 14, 20
which would be plotted on the same line as the coordinates below?
a. 5,12
b. 2, 4
c. 10,23
d. 7,18
Answers
option a) with coordinates (5,12) will be the right answer.
What is slope of line ?
Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.
The point with coordinate having same slope as with given coordinates can be plotted on the same line.
First calculating, the slope of line passing through point (0,2) and (3,8) :
\(\begin{aligned}m&=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\&=\frac{8-2}{3-0}\\&=2\end{aligned}\)
Now considering first point given as (5,12) along with point on line (0,2) and finding slope :
\(\begin{aligned}m&=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\&=\frac{12-2}{5-0}\\&=2\end{aligned}\)
hence the slope of these points are also same therefore, point (5,12)
passes through the line.
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What is the smallest positive integer that is neither prime nor square and that has no prime factor less than 50?
a) 3127
b) 3133
c) 3137
d) 3139
e) 3149
Answers
The smallest positive integer that is neither prime nor square and that has no prime factor less than 50 is 3137.
This can be determined by using the prime factorization method. Prime factorization is a process of breaking down a number into its prime factors. The prime factors of a number are the factors that are only divisible by one and itself. For 3137, the prime factors are 3, 7, 17 and 37 since these are the only prime numbers that can divide 3137 evenly. Since none of the prime factors are less than 50, 3137 is the smallest positive integer that is neither prime nor square and that has no prime factor less than 50.
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math #lollololollollol
Answers
Answer:
the answer is 2
Step-by-step explanation:
in a particular year, 40% of home sales were partially financed by the seller. a random sample of 250 sales is examined. what is the probability that 115 or fewer of the 250 homes were partially financed by the seller?
Answers
The probability that 115 or fewer of the 250 homes were partially financed by the seller is approximately 0.9733.
This problem can be solved using the binomial distribution, where
n = 250 is the total number of home sales in the sample.
p = 0.4 is the probability that any given home sale is partially financed by the seller.
X is the number of home sales in the sample that are partially financed by the seller, which we are interested in.
The probability of X successes in n independent Bernoulli trials, each with success probability p, is given by the probability mass function of the binomial distribution
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items out of n without regard to order.
To solve this problem, we need to calculate the cumulative probability of 115 or fewer home sales being partially financed by the seller
P(X ≤ 115) = P(X = 0) + P(X = 1) + ... + P(X = 115)
We can use a statistical software or calculator to calculate this probability directly, or we can use the normal approximation to the binomial distribution, which is valid when n is large and p is not too close to 0 or 1.
The mean of the binomial distribution is μ = np = 250 * 0.4 = 100, and the standard deviation is σ = sqrt(np(1-p)) = sqrt(60) ≈ 7.746.
To use the normal approximation, we standardize the random variable X as follows
Z = (X - μ) / σ
Then, we can use the standard normal distribution to calculate the probability
P(X ≤ 115) ≈ P(Z ≤ (115 - μ) / σ)
P(Z ≤ (115 - μ) / σ) = P(Z ≤ (115 - 100) / 7.746) ≈ P(Z ≤ 1.934)
Using a standard normal table or calculator, we find that P(Z ≤ 1.934) ≈ 0.9733.
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Please help I am stuck on this
Answers
Explanation:
I know someone else already answered, but I wanted to explain why the answer is B.
Consider an equation of a line in slope-intercept form: y = mx + b
Since the line intersects the y-axis at -1, that’s the y intercept, or b. We know the slope of the line is positive because it slopes upward from left to right. From each whole number solution point, the line goes up one and two to the right. Slope, represented by m, is “rise” over “run”, or the change in y over the change in x. This makes the slope 1/2.
I hope this helps.
PLIS HELPPP I DON'T UNDERSTAND THIS
Answers
Answer:
Step-by-step explanation:
7 blue socks and 6, 5, 8 of non-blue socks. If you add the numbers of non-blue socks you get 19. Blue socks to non-blue would be 7:19
Answer:
The ratio is 7 to 19 or 7:19
Step-by-step explanation:
Since there are 7 blue socks and other colors are not blue we add the number of other colors. So basically 8+5+6= 19 and then 7 blue socks :)
Ben made a sundial in his backyard by placing a stick with height 6 in. straight into the ground, and marking the hours in the grass. To test it, he checks the time each day when the sun makes an angle of 30° or 60° with the ground. Select all the possible lengths of the shadow when Ben checks the sundial.
A. 12 in.
B. 23√ in.
C. 8 in.
D. 63√ in.
E. 22√ in.
Answers
Answer:
B and D
Step-by-step explanation:
Which equation represents a line which is parallel to the line y = -6x – 1?
Answers
Answer:
6x+y=-8 because it will be y=-6x-8 having same slope with the line given
How many solutions does this system have? x minus y = negative 4. 3 x + y = 8. one two an infinite number no solution
Answers
Answer:
One solution
Step-by-step explanation:
Answer:
The correct answer is A.) one
Step-by-step explanation:
I just did the test on edge 2021 and got it right!
68% of all students at a college still need to take another math class. If 49 students are randomly selected, find the probability that
Answers
68% of all students at a college still need to take another math class. Let's calculate the probability that out of 49 randomly selected students, at least 30 of them still need to take another math class.
To find the probability, we need to determine the number of favorable outcomes (students who still need to take another math class) and the total number of possible outcomes (total number of students in the sample).
Given that 68% of all students still need to take another math class, the probability that an individual student needs to take another math class is 0.68.
Let's denote:
p = probability that a student needs to take another math class (0.68)
q = probability that a student does not need to take another math class (1 - 0.68 = 0.32)
We can use the binomial probability formula to calculate the probability of at least 30 students needing another math class out of a sample of 49 students:
P(X ≥ 30) = P(X = 30) + P(X = 31) + ... + P(X = 49)
where X is the number of students needing another math class.
Using the binomial probability formula:
P(X = k) = C(n, k) * p^k * q^(n-k)
where C(n, k) is the binomial coefficient (n choose k), n is the total number of trials (49), and k is the number of successful outcomes (students needing another math class).
Now we can calculate the probability:
P(X ≥ 30) = P(X = 30) + P(X = 31) + ... + P(X = 49)
= Σ [C(49, k) * p^k * q^(49-k)] for k = 30 to 49
Calculating this sum can be computationally intensive. However, we can use statistical software or calculators to find the exact value of this probability.
In summary, to find the probability that at least 30 students out of a random sample of 49 students still need to take another math class, we can use the binomial probability formula. By calculating the sum of probabilities for all favorable outcomes, we can determine the desired probability.
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An SUV gets 14 mpg and a minivan gets 32 mpg. How much more chemical energy (in Btu and kWh units) and will be used by the SUV in a trip to grandma's house of 200 miles
Answers
To calculate the difference in chemical energy consumption between an SUV and a minivan for a 200-mile trip to grandma's house, we need to consider the fuel efficiency of both vehicles.
Calculation of Chemical Energy Consumption:
For the SUV:
Fuel consumption = Distance / Fuel Efficiency = 200 miles / 14 mpg = 14.2857 gallons
For the minivan:
Fuel consumption = Distance / Fuel Efficiency = 200 miles / 32 mpg = 6.25 gallons
Calculation of Chemical Energy in BTU:
The energy content of gasoline is typically around 115,000 BTU per gallon.
For the SUV:
Chemical energy = Fuel consumption * Energy content = 14.2857 gallons * 115,000 BTU/gallon = 1,642,857 BTU
For the minivan:
Chemical energy = Fuel consumption * Energy content = 6.25 gallons * 115,000 BTU/gallon = 718,750 BTU
Difference in Chemical Energy = SUV's Chemical energy - Minivan's Chemical energy
= 1,642,857 BTU - 718,750 BTU
= 924,107 BTU
Therefore, the SUV will use 924,107 BTU more chemical energy than the minivan for a 200-mile trip.
Calculation of Chemical Energy in kWh:
To convert BTU to kWh, we can use the conversion factor: 1 BTU = 0.000293071 kWh.
For the SUV:
Chemical energy = 924,107 BTU * 0.000293071 kWh/BTU = 270.588 kWh
The SUV will consume approximately 924,107 BTU (270.588 kWh) more chemical energy than the minivan for a 200-mile trip to grandma's house.
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help me with which triangle it is and how do I find x?
Answers
Answer:
x = 4Step-by-step explanation:
that's an equilateral triangle, 3 equal side and 3 equal angles of 60°,
so 10x + 20 = 60
solve with an equation
10x + 20 = 60
10x = 60 - 20
10x = 40
x = 40 : 10
x = 4
--------------------------
check
10 * 4 + 20 =
60°
the answer is good
The mathematical relationship between the total cost for a person to bowl at the local bowling alley and the number of games played is represented by
y = 3.50x + 6.00
Explain how you can use this linear function to find out how many games you can bowl for $34.
Pls don't send links or wrong answers I WILL REPORT YOU
Answers
The number of games that will be played will be 8 games.
How to illustrate the information?It should be noted that the mathematical relationship between the total cost for a person to bowl at the local bowling alley and the number of games played is represented by
y = 3.50x + 6.00.
The games that you can bowl for $34 will be:
y = 3.50x + 6.00.
34 = 3.50x + 6.00.
Collect like terms
3.50x = 34 - 6
3.50x = 28
Divide
x = 28 / 3.50
x = 8
Therefore, the number of games will be 8 games.
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Is every linear equation a quadratic equation?.
Answers
No, every linear equation is not a quadratic equation.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Any equation of the form ax²+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Every linear equation is also a quadratic equation. A polynomial equation is a linear equation or a quadratic equation.
Thus, not every linear equation is not a quadratic equation.
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Find the antiderivative: f(x) = x(2-x)²
Answers
Use u-substitution with u=2-x to get F(x)=-[2/3(2-x)³-1/4(2-x)⁴]+C, where C is the constant of integration.
To see as the antiderivative of f(x) = x(2-x)², we can utilize joining by replacement.
Let u = 2-x, then du/dx = - 1. Reworking, we get dx = - du. Subbing these qualities, we have:
∫x(2-x)² dx = - ∫(2-u)u² du
= -∫(2u² - u³) du
= -[2/3 u³ - 1/4 u⁴] + C
= -[2/3 (2-x)³ - 1/4 (2-x)⁴] + C
In this way, the antiderivative of f(x) will be F(x) = - [2/3 (2-x)³ - 1/4 (2-x)⁴] + C, where C is the steady of joining.
To check our response, we can separate F(x) and check whether we return to the first capability f(x). Taking the subsidiary of F(x), we have:
dF/dx = - d/dx [2/3 (2-x)³ - 1/4 (2-x)⁴]
= -[-2(2-x)² + (2-x)³]
= (2-x)²(3-x)
We can see that dF/dx does to be sure rise to f(x) = x(2-x)², so our antiderivative is right.
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If a1 = 8 and an
=
2an-1 + n then find the value of a3.
Answers
The third term in the given sequence is 38.
Given that, if in a sequence a₁ = 8 and aₙ = 2aₙ₋₁ + n, we need to find the value of a₃,
Therefore, to the pattern of the given sequence we will have,
a₂ = 2 × a₂₋₁ + 2
= 2 × 8 + 2
= 18
Now,
a₃ = 2 × a₃₋₁ + 2
= 2 × a₂ + 2
= 2 × 18 + 2
= 36 + 2
= 38
Hence the third term in the given sequence is 38.
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What is the y-value of the solution to the system of equations {3x+4y=4 and 2x−4y=6?
Answers
Answer: y = -1/2
Step-by-step explanation:
Use the elimination method. When setting the equations up, you can see that the y values already cancel out. This makes it easy to find the x value.
3x+4y=4 3x+4y=4
2x-4y=6 -----> (-) 2x-4y=6
For the x value, you would get 2. 5x=10 therefore x=2.
Now that you have your x value, choose one of the original equations(either works). I chose 3x+4y=4. Now, substitute 2 into the x value then solve your equation for the y-value.
3x+4y=4 ---> 3(2)+4y=4
3(2)+4y=4 then becomes 4y=-2 and when you isolate the variable, you get -1/2.
please help again i need help for a good cause
Answers
a. The income is I = 12n + 150
They earn $12 for each shirt, which amounts to a total of 12n, plus an extra $150 from a sponsor.
b. E = 4.25n + 250
Which theorem or postulate proves that △ABC and △DEF are similar?Select from the drop-down menu to correctly complete the statement.The two triangles are similar by the ________.A. AA Similarity PostulateB. SSS Similarity TheoremC. SAS Similarity Theorem
Answers
Answer: To prove that triangles △ABC and △DEF are similar, we would use the AA Similarity Postulate. This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. In other words, if the corresponding angles of two triangles are congruent, then the triangles are similar.
Step-by-step explanation:
If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
Answers
If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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a simple electrical motor has three components: windings, armature, and housing. the three components have reliabilities of 0.9998, 0.9992, and 0.9999. there is no possibility of redundant parts. what is the reliability of the motor? round your answer to four decimal places.
Answers
The reliability of a simple electrical motor with three components (windings, armature, and housing) is :
0.9989.
To find the reliability of a simple electrical motor with three components (windings, armature, and housing), we need to multiply the reliabilities of each component. The given reliabilities are 0.9998, 0.9992, and 0.9999.
Multiply the reliabilities of the three components.
Reliability = Windings reliability * Armature reliability * Housing reliability
Reliability = 0.9998 * 0.9992 * 0.9999
Calculate the product.
Reliability ≈ 0.99889988
Round the answer to four decimal places.
Reliability ≈ 0.9989
So, the reliability of the motor is approximately 0.9989.
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what plus 26 makes 90 with 60?
Answers
Answer:
60+26=86. 90-86=4. So 4 is the answer.
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
Answer:
18.3
Step-by-step explanation:
a^2 + b^2 = c^2
We can call the unknown side x. The hypotenuse (25) is c.
Knowing this, you know that x^2 + 17^2 = 25^2.
Now simpify!
x^2 + 289 = 625
Subtract 289 from both sides:
x^2 = 338
Now take the square root of 338 which is 18.3 rounded to the nearest tenth.
Hope this helped! :)
At the calendar shop, wall calendars cost $6 and desk calendars cost $7. Grace spent $37 to buy 6 calendars. How many of each type of calendar did Grace buy?
Answers
Answer:
5 wall and 1 desk
Step-by-step explanation:
5 x 6$ = 30$
1 x 7$ = 7
30 + 7 = 37, which is the total price
Anybody else have to have google teach them something? (free pts)
Like i had to google something just to understand what it was.
Answers
Answer:
sometimes
Step-by-step explanation:
Answer:
Yes! All the time!
Step-by-step explanation: