Which situation can be represented by the equation 2x + 150 = 5x
Mary has 5 stamps and buys 150 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Marty have
more stamps than Mary?
Mary has 2 stamps and buys 150 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have
the same number of stamps?
Mary has 150 stamps and buys 5 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Marty have
more stamps than Mary?
Mary has 150 stamps and buys 2 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have
the same number of stamps?
Answers
The situation can be represented by the equation 2x + 150 = 5x is"Mary has 2 stamps and buys 150 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have the same number of stamps?" (option b)
The equation 2x + 150 = 5x means that two expressions, 2x + 150 and 5x, are equal. In other words, whatever value we substitute for x, these two expressions will always have the same value. We can use this equation to solve different situations by finding the value of x that satisfies the equation.
Mary starts with 2 stamps and buys 150 stamps each week, while Nick starts with no stamps and buys 5 stamps each week. To determine when they will have the same number of stamps, we need to use the equation 2x + 150 = 5x. We can rewrite the equation as 150 = 3x, and solve for x by dividing both sides by 3. This gives us x = 50, which means that it will take Mary 50 weeks to have the same number of stamps as Nick.
Hence the correct option is (b).
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Related Questions
-4×(-2)[2×(-6)+3×(2×6-4-4)]
Answers
\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)
➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]
➝ -4 × (-2) [2 × (-6) + 3 × (4) ]
➝ -4 × (-2) [2 × (-6) + 12 ]
➝ -4 × (-2) [(-12) + 12 ]
➝ -4 × (-2) [0]
➝ -4 × 0
➝ 0
Answer:
-4*-2
Step-by-step explanation:
the multiple of both side is 4*2*,26+*32*--=6 44
The ratio on a key board of number keys to letter keys is 3:15. If a manufacturer produced 156 letter keys,then how many keys would need to be produced?
Answers
Answer: Approximately 31 number keys.
Step-by-step explanation: Ratio is a comparison between two values.
Ratio for number keys to letter keys is \(\frac{3}{15}\), which means each 3 group of number keys is equivalent to 15 letter keys.
The producer will need
\(\frac{3}{15} =\frac{x}{156}\)
\(x=\frac{3.156}{15}\)
x = 31
The manufacturer will need to be produced 31 keys.
6(3h-4) = 18h + _________
Answers
Step-by-step explanation:
6(3h - 4) = 18h + (-24) = 18h -24
I NEED HELP ASAPPP NO LINKS PLSS
Answers
Answer:
heyy! im reaaally sorry if its wrong but I think its c, f, d
brainliest? :)
Step-by-step explanation:
Answer:
7= D
8= F
9= C
Step-by-step explanation:
7. x - 3 \(\leq\) 7
+3 +3
x \(\leq\) 10
8. 3b < 18
/3 /3
b < 6
9. \(\frac{y}{3}\) > 9
*3 *3
y > 27
10- 12 I am so sorry, but I don't understand these functions lol
the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle
Answers
Answer: 192
Step-by-step explanation:
Use algebra
x + 3x + x + 3x = 64 (perimeter)
Combine Like Terms
8x = 64
x = 8
8 + 24 + 8 + 24 = 64
24/8 = 3
a boys buys 9 apples for Rs 9.60 and sells them at 11 for rs 12 find his gain or loss percent
Answers
Which expression is equivalent to -4x - 36?
Answers
Answer:
if it's not multiple choice, I'd say 36 + 4x
Step-by-step explanation:
Commutative property
Answer:
D.) -4(x + 9)
Step-by-step explanation:
Plz mark brainliest
The position of a particle in the xy-plane at time t is r(t) = (t + 4) i + (t2 + 5) j. Find an equation in x and y whose graph is the path of the particle.
Answers
The equation in x and y whose graph is the path of the particle is y = x2 - 8x + 21. This is a parabolic equation, which is symmetric about the vertical line x = 4. It opens upward since the coefficient of x2 is positive, indicating that the particle moves upwards as time increases.
The position of the particle is given by the vector-valued function r(t) = (t + 4) i + (t2 + 5) j, where i and j are the standard basis vectors in the x and y directions, respectively. To find an equation in x and y whose graph is the path of the particle, we can eliminate the parameter t.
We start by solving for t in terms of x: t = x - 4. Substituting this expression into the equation for y, we get y = (x - 4)2 + 5 = x2 - 8x + 21.
Therefore, the equation in x and y whose graph is the path of the particle is y = x2 - 8x + 21. This is a parabolic equation, which is symmetric about the vertical line x = 4. It opens upward since the coefficient of x2 is positive, indicating that the particle moves upwards as time increases.
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In 2011, the moose population in a park was measured to be 5,800. By 2017, the population was measured again to be 8,000. If the population continues to change exponentially, find an equation for the moose population, P, as a function of t, the years since 2011.What does your model from above predict the moose population to be in 2022?
Answers
This problem asks to:
a) Find a model to predict the population P as a function of t (years since 2011).
b) Predict the population in 2022.
To find this information, follow the steps below.
Step 1: Write a general equation for populational growth.
The population growth can be represented as:
\(P=P_0\cdot e^{r\cdot t}\)Where:
P is the population in time t;
Po is the initial population;
r is the rate of growth;
t is the time.
Step 2: Write the equation that represents the moose population.
Since the problems aks to evaluate the population from 2011. Use the population in 2011 as the initial population.
Then, P0 = 5,800.
\(P=5,800\cdot e^{r\cdot t}\)Now, to find r, use the information for 2017.
In 2017,
P = 8,000
t = 6 (2017 - 2011)
Then,
\(\begin{gathered} 8,000=5,800\cdot e^{r\cdot6} \\ \end{gathered}\)To isolate r, first divide both sides by 5,800:
\(\begin{gathered} \frac{8,000}{5,800}=e^{r\cdot t} \\ \frac{80}{58}=e^{r\cdot t} \\ \end{gathered}\)Take the ln from both sides.
\(\begin{gathered} \ln (\frac{40}{29})=\ln e^{6r} \\ \text{ Using the properties of ln:} \\ \ln (\frac{40}{29})=6r\cdot\ln e \\ \ln (\frac{40}{29})=6r\cdot1 \\ \ln (\frac{40}{29})=6r \end{gathered}\)Divide both sides by 6:
\(\begin{gathered} \frac{6r}{6}=\frac{\ln (\frac{40}{29})}{6} \\ r=\frac{\ln(\frac{40}{29})}{6} \\ or \\ r=\frac{0.3216}{6}=0.0536 \end{gathered}\)So,
(a) The equation that represents the moose population over the years is:
\(P=5,800\cdot e^{0.0536\cdot t}\)Step 3: Predict the population in 2022.
In 2022,
t = 11 (2022 - 2011).
Then,
\(\begin{gathered} P=5,800\cdot e^{0.0536\cdot t} \\ P=5,800\cdot e^{0.0536\cdot11} \\ P=5,800\cdot e^{0.5895} \\ P=5,800\cdot1.8032 \\ P=10,458.6 \\ P=10,459 \end{gathered}\)(b) The moose population in 2022 will be 10,459.
Answer:
(a)
\(P=5,800\cdot e^{0.0536\cdot t}\)(b) 10,459.
En un colegio de 1500 alumnos y alumnas, el 45% son niñas ¿cuántos varones hay en el colegio ?
Answers
Therefore, there are 825 boys in the school.
What is percent?Percent is a mathematical term used to represent a fraction of 100. It is often denoted by the symbol "%". Percentages are used to express proportions, rates, or changes in quantities in terms of fractions of 100. For example, 50% means 50 parts out of 100 or a half, while 25% means 25 parts out of 100 or a quarter. Percentages are commonly used in everyday life, such as in calculating discounts, tax rates, and interest rates.
Here,
If 45% of the students are girls, then the remaining 55% must be boys.
To find the number of boys, we can first calculate what 1% of the total number of students is:
1% of 1500 = 0.01 x 1500 = 15
So there are 15 students in each 1% of the school population.
To find the number of boys, we can now multiply the number of 1% by the percentage of boys:
55% of 1500 = 0.55 x 1500 = 825
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Complete question:
In a school of 1500 students, 45% are girls. How many boys are in the school?
WILL GIVE BRAINLIEST!!!!
Find the unique integer n such that all these conditions hold:
(a) 0 < n < 200
(b) n is 1 more than a multiple of 2
(c) n is 3 more than a multiple of 7
(d) n is 10 more than a multiple of 13
Answers
Condition (b) states that n is 1 more than a multiple of 2, which means n must be an odd number. We can start by checking odd numbers in the given range.
Condition (c) states that n is 3 more than a multiple of 7. To satisfy this condition, we can check multiples of 7 and add 3 to each multiple.
Condition (d) states that n is 10 more than a multiple of 13. Similarly, we can check multiples of 13 and add 10 to each multiple.
Now, let's go through the numbers within the given range and check which one satisfies all the conditions:
For multiples of 2, we have: 2, 4, 6, 8, 10, 12, ...
For multiples of 7, we have: 7, 14, 21, 28, 35, 42, ...
For multiples of 13, we have: 13, 26, 39, 52, 65, 78, ...
Adding 1 to the multiples of 2:
3, 5, 7, 9, 11, 13, ...
Adding 3 to the multiples of 7:
10, 17, 24, 31, 38, 45, ...
Adding 10 to the multiples of 13:
23, 36, 49, 62, 75, 88, ...
After comparing the lists, we can see that the unique integer that satisfies all the conditions is 17, as it is 1 more than a multiple of 2 (16), 3 more than a multiple of 7 (14), and 10 more than a multiple of 13 (6).
Therefore, the unique integer n that satisfies all the given conditions is n = 17.
help
me
please
(WILL GIVE BRAINLIEST)
Answers
Answer:
3
Step-by-step explanation:
Answer:
this is quite easy. just count the markings that are not in the 1 ounce or 2 ounce sections. in this problem, there are 5 bottles in total and 2 of them are either in the 1 ounce or 2 ounce section. this leaves 3 bottles. (also make sure you count the ones above and below the areas specified)
help pleaseeeeeeeeeeeeeee and explain your answer
Answers
Answer:
A. The cost of a bunch of grapes compared with its weight
Step-by-step explanation:
A. The cost of a bunch of grapes compared with its weight
Step-by-step explanation:
We are required to find the situation which shows a constant rate of change.
According to the options, we have,
D. The number of tickets sold compared to the number of minutes before a football game
In this case, we see that, the rate of change between the number of minutes and the number of tickets sold may vary and need not be constant.
B. The outside temperature compared with the time of day
Here, the temperature changes with different values throughout the day and this case will not give a constant rate.
C.The height of a bird over time
The height of the bird over a time would not give a constant rate.
Further, we have that,
The cost of a bunch of grapes compared with its weight will always give a constant rate as whenever the weight changes, the cost will change accordingly.
So, the correct answer is A
Answer: You are correct. It is choice A.
====================================================
Explanation:
This is assuming the grapes are charged on some kind of weight basis, eg: charged per pound.
Let's say it costs $0.70 per pound, ie 70 cents per pound.
If x is the weight and y is the cost, then the equation would be y = 0.70x. The slope here is 0.70 to represent the rate of change. Each time x goes up by 1, y goes up by 0.70; meaning that each time you add a pound of grapes, the cost goes up by 70 cents.
---------------
Side notes:
Choice B can be ruled out because the temperature is not changing at a constant rate. Also, the temperature doesn't always increase, or always decrease. We have the temperature fluctuating up and down.Choice C is a similar story to choice B. The bird's height won't always go up or go down. So we can't say the rate of change is constant.Choice D will depend on how popular the game is. If popularity is high, then ticket sales is likely to sharply increase as the kickoff time approaches. On the other hand, if the game isn't popular, then ticket sales would level off and then approach 0 at some point. In either event, we don't have a constant rate of change. So we can rule out choice D along with the other choices B and C.8. births example 2 in this section includes the sample space for genders from three births. identify the sample space for the genders from two births.
Answers
The sample space for genders from two births would include four possible outcomes: two boys, two girls, one boy and one girl (in either order).
The sample space for the genders from two births includes all the possible outcomes of genders for two children. In this case, there are four possible combinations:
1. Male (M) - Male (M)
2. Male (M) - Female (F)
3. Female (F) - Male (M)
4. Female (F) - Female (F)
So, the sample space for the genders from two births is {MM, MF, FM, FF}.
In probability theory, the sample space is the set of all potential outcomes or results of an experiment or random trial. It is also referred to as the sample description space, possibility space, or outcome space. The potential ordered outcomes, or sample points, are listed as elements in a set that is used to represent a sample space. A sample space is frequently referred to as S,, or U (for "universal set"). A sample space may contain symbols, words, letters, or numbers as its components. They may also be uncountably infinite, countably infinite, or finite.
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det a^3 = 0 why a cannot be invertible
Answers
If the determinant of a matrix A is zero, then A is singular, which means that A is not invertible.
This is because the determinant of a matrix represents the scaling factor of the transformation that the matrix represents. If the determinant is zero, it means that the transformation does not preserve the orientation of space and therefore does not have an inverse transformation.
In the case of A^3, the determinant of A^3 is equal to the cube of the determinant of A. Therefore, if det(A^3) = 0, then det(A)^3 = 0, which implies that det(A) = 0. Hence, A is singular and cannot be invertible.
Geometrically, this means that the transformation represented by A^3 collapses the space onto a lower-dimensional subspace, such as a line or a plane, and does not have an inverse that can restore the original space. Therefore, the linear system represented by A^3 is dependent, and the columns of A^3 do not span the full space.
In summary, if det(A^3) = 0, then A is not invertible because the transformation represented by A^3 collapses the space onto a lower-dimensional subspace and does not have an inverse transformation that can restore the original space.
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In attempting to fly from Chicago to Louisville, a distance of 330 miles, a pilot inadvertently took a course that was 10o in error, as indicated in the figure.
(a) If the aircraft maintains an average speed of 220 miles per hour, and if the error in direction is discovered after 15 minutes, through what angle should the pilot turn to head toward Louisville?
(b) What new average speed should the pilot maintain so that the total time of the trip is 90 minutes?
Answers
The new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.
(a) To find the angle that the pilot should turn to head towards Louisville, we first need to find how far off course the pilot has gone in 15 minutes. At an average speed of 220 miles per hour, the pilot would have flown a distance of:
d = rt = 220 mi/hr × (15 min / 60 min/hr) = 55 miles
Since the pilot was 10 degrees off course, they have effectively traveled 10/360 of the circumference of a circle with radius 55 miles. The length of this arc is:
s = rθ = 55 mi × (10/360) = 1.528 mi
To head towards Louisville, the pilot needs to turn to a heading that is 10 degrees in the opposite direction. The angle θ that the pilot needs to turn is given by:
θ = 2arctan(s/2d) = 2arctan(1.528 mi / 2(330 mi)) ≈ 0.266 radians ≈ 15.26 degrees
So the pilot needs to turn approximately 15.26 degrees to head towards Louisville.
(b) Let's call the distance the pilot needs to travel after correcting course "x". We can use the formula for distance to find "x":
x = 330 mi - 2(55 mi) = 220 mi
To complete the trip in a total time of 90 minutes, the pilot must spend 75 minutes flying at the new speed and 15 minutes turning to the correct heading. Therefore, the time spent flying at the new speed is 75 minutes - 15 minutes = 60 minutes. The new speed can be found using the formula for average speed:
average speed = total distance / total time
We want the new speed to cover a distance of 220 miles in 60 minutes:
average speed = 220 mi / (60 min / 60) = 220 mi/hr
So the new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.
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Consider a random variable with population standard deviation 14. given a sample of size 42, you estimate the sample mean to be 31 and construct the 95% confidence interval. afterwards, you are told that the population mean is actually 33. does your confidence interval contain the true mean?
Answers
Yes, the true mean of 33 is within the margin of error of the sample mean, we can conclude that the confidence interval does contain the true mean.
To determine whether the confidence interval contains the true mean of 33, we need to calculate the margin of error for the confidence interval. The margin of error is a measure of the precision of the estimate, and it is calculated using the sample size, the standard deviation of the population, and the desired level of confidence.
For a 95% confidence interval, the margin of error can be calculated using the following formula:
The margin of error = 1.96 * (standard deviation / √sample size)
Plugging in the values, we get:
Margin of error = 1.96 * (14 / √42)
Performing the calculation, we find that the margin of error is 3.39. This means that the sample mean of 31 is likely to be within 3.39 units of the true mean, with a confidence level of 95%.
Since the true mean of 33 is within the margin of error of the sample mean, we can conclude that the confidence interval does contain the true mean. This means that our estimate of the population mean, based on the sample size 42, is likely to be accurate.
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Use an area model to multiply (6x-1)(3x+2) . Write your answer as a sum.
Answers
Answer:
25
Step-by-step explanation:
Five cards are numbered 1 through 5. The back of each card is identical. The cards are mixed up and placed faced down. A person randomly flips over three cards and determines the sum of the three exposed cards. What is the probability that the sum is odd?
Answers
A) Tell which measure of central tendency best describes the data.
Time spent on the internet (min/day): 75,38,43,120,65,48,52.
B) Tell which measure of central tendency best describes the data.
Weight of books (oz): 12,10,9,15,16,10.
Answers
A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.
The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.
B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.
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Plz help I’ll give branliest plzzz
Answers
Given:
The two triangles are similar by SSS.
To find:
The value of x.
Solution:
If two triangles are similar to each other by SSS, then the corresponding sides of the triangles are proportional.
It is given that \(\Delta ABC\sim \Delta DE F\). So,
\(\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\)
\(\dfrac{9}{6}=\dfrac{12}{8}=\dfrac{3(x-1)}{x+1}\)
\(\dfrac{3}{2}=\dfrac{3}{2}=\dfrac{3x-3}{x+1}\)
\(\dfrac{3}{2}=\dfrac{3x-3}{x+1}\)
On cross multiplication, we get
\(3(x+1)=2(3x-3)\)
\(3x+3=6x-6\)
\(3x-6x=-3-6\)
\(-3x=-9\)
Divide both sides by -3.
\(x=3\)
Therefore, the value of x is 3.
x⁴+8x³+34x²+72x+81 factories it.
Answers
Answer:
The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.
What is 3x+5y=-25 in slope intercept form
Answers
Explanation
3x+5y=25
Determine the number and type of zeros of the quadratic function based on the value of the discernment.
see picture
Answers
Given,
Values of discriminants are given.
Determine the number and type of zeros of the quadratic functions.
Here,
2 real number solutions ;Discriminant = 100
Discriminant = 2
Discriminant = 3
That is, if discriminant is greater than 0, then there will be 2 real number solutions for the quadratic function.
1 real number solution;Discriminant = 0
If the discriminant is equal to 0, then the quadratic function have 1 real number solution.
0 real number solutions;Discriminant = -36
Discriminant = -4
Here, when the discriminant is less than 0, then the quadratic function will not have any real number solutions.
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Due to the over-fishing of our oceans by commercial fisheries, the African penguin population has rapidly decreased. Recent studies have shown that the population has cut in thirds every year. When the study first began in 2000 there was a population of 200,000 African penguins.Write the function’s formula: let Prepresent the population after tyears.P=In ________ years, there will only be ________ penguins left.
Answers
In 2.22 years, there will only be 50,000 African penguins left.
Since the population of African penguins is cut in thirds every year, we can use the exponential decay model to describe its population as follows:
P(t) = P₀(1/3)^t
where P(t) represents the population after t years, and P₀ represents the initial population in 2000, which is 200,000.
So, the formula for the population of African penguins after t years is:
P(t) = 200,000(1/3)^t
To find how many years it will take for the population to be reduced to a certain number, we can plug in that number for P(t) and solve for t.
For example, if we want to find out how many years it will take for the population to be reduced to 50,000, we can write:
50,000 = 200,000(1/3)^t
Divide both sides by 200,000:
1/4 = (1/3)^t
Take the natural logarithm of both sides:
ln(1/4) = ln[(1/3)^t]
ln(1/4) = t ln(1/3)
Solve for t:
t = ln(1/4) / ln(1/3)
Using a calculator, we get t ≈ 2.22 years.
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does anyone know how to do this
Answers
Answer:
hello
bring the side of the first part of the triangle then you can to bring the (x) of the second traingle
Please help me with this
Answers
B R= 6
Can I get a Brainly
On a given day, the temperature in a pool increases with both the work of a heater modeled by the function h(t) and the sun, s(t), depending on the amount of time that passes,t, in minutes.
Which graph best shows the combination of both functions, c(t)?
Answers
Option C) is the correct graph that best represents the combination of both functions.
The graph, which plots time on the x-axis and temperature on the y-axis, displays an increasing function that depicts the temperature. The graph is divided into two sections: one shows a straight line with a positive slope to reflect the heater's contribution, and the other shows a curve to show the sun's contribution.
Option A) depicts a straight line that illustrates the rise in temperature brought on by the heater, but it omits the sun's influence. The intersection of these two functions is not depicted in this graph.
Option B) displays a curve that depicts the rise in temperature brought on by the sun, but it omits the impact of the heater. The intersection of these two functions is not depicted in this graph.
The sum of the two functions h(t) and s(t), which model the rise in pool temperature, can be written as follows:
c(t) = h(t) + s (t)
The specific functions h(t) and s(t) and their values at various times t would affect the graph of c(t).
Both the function h(t) and the function s(t) model the rise in temperature brought on by the sun and the heater, respectively.
As a result, Option C) is the correct graph that accurately depicts the union of the two functions.
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Answer:
Its A.
Step-by-step explanation:
it just looks like a combination of the other 2
The formula for the standard error of the regression coefficient, when moving from one explanatory variable to two explanatory variables: A) stays the same. B) changes, unless the second explanatory variable is a binary variable. C) changes. D) changes, unless you test for a null hypothesis that the addition regression coefficient is zero
Answers
The correct option is C) changes. When moving from one explanatory variable to two explanatory variables, the formula for the standard error of the regression coefficient changes.
The standard error of the regression coefficient depends on the number of explanatory variables, and adding a variable changes the number. The formula for the standard error of the regression coefficient when there is one explanatory variable assumes that all of the variation in the response variable is due to the explanatory variable. However, when there are two explanatory variables, some of the variation in the response variable may be due to the other variable, and the standard error must account for this.
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pls help solve this question!
Answers
Answer:
Yes, by AA, since angle DEF is congruent to HEJ (vertical angles are congruent), and angle DFE is congruent to HJE.
So triangle DEF is similar to triangle HEJ.