Answer:
Let x be the number of red M&Ms.
Then the number of blue M&Ms is x + 5, the number of yellow M&Ms is x - 9, and the number of brown M&Ms is (1/2)x + 13.
The total number of M&Ms is 135, so we can write an equation:
x + (x + 5) + (x - 9) + (1/2)x + 13 = 135
Simplifying this equation, we get:
3.5x + 9 = 135
Subtracting 9 from both sides, we get:
3.5x = 126
Dividing both sides by 3.5, we get:
x = 36
So there are 36 red M&Ms, 41 blue M&Ms (36 + 5), 27 yellow M&Ms (36 - 9), and 31 brown M&Ms (1/2 * 36 + 13).
Answer:
Step-by-step explanation:
r: the number of red M&Ms
b: the number of blue M&Ms
y: the number of yellow M&Ms
br: the number of brown M&Ms
We can translate the given information into equations:
r + b + y + br = 135 (the total number of M&Ms is 135)
b = r + 5 (there are five more blue M&Ms than red ones)
y = r - 9 (there are nine less yellow M&Ms than red ones)
br = 13 + (1/2)r (there are thirteen more brown M&Ms than half the number of red ones)
We can use equations 2, 3, and 4 to substitute for b, y, and br in equation 1:
r + (r + 5) + (r - 9) + (13 + (1/2)r) = 135
Simplifying this equation, we get:
3.5r + 9 = 135
Subtracting 9 from both sides, we get:
3.5r = 126
Dividing both sides by 3.5, we get:
r = 36
Now that we know the value of r, we can use equations 2, 3, and 4 to find the values of b, y, and br:
b = r + 5 = 36 + 5 = 41
y = r - 9 = 36 - 9 = 27
br = 13 + (1/2)r = 13 + (1/2)(36) = 31
Therefore, the number of red, blue, yellow, and brown M&Ms in the mixture are 36, 41, 27, and 31, respectively.
If I get 20 coins per second, how many will I have in 30 days?
Answer:ur mom
Step-by-step explanation:
30/60=x
x*20
Step-by-step explanation:
What a question.. expect a huge number as the answer
What we need to do is convert days into seconds, and then multiply that number by 20.
30 days
24 hours in 1 day
60 minutes in 1 hour
60 seconds in 1 minute.
So what we do is multiple these 4 numbers
[tex]60 \times 60 \times 24 \times 30 = 2592000[/tex]
There are 2,592,000 seconds in 30 days.
Now we take that number and multiply it by 20 coins
[tex]2592000 \times 20 = 51840000 \: coins[/tex]
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 2x + 3
y is less than negative 3 over 2 times x minus 4
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−4, 6) included in the solution area for the system? Justify your answer mathematically. (4 points)
The graph is attached, the type of line is dashed straight lines
Part B the point (-4, 6) is not a solution
How to describe the graphinformation gotten from the question include
y > 2x + 3
y is less than negative 3 over 2 times x minus 4
the statement is written as
y < -3/2 x - 4
Part B
The point (-4, 6) is not included in the solution
plugging in x = -4 into the equation
y < -3/2 (-4) - 4
y < 6 - 4
y < 2 not a solution
y > 2 (-2) + 3
y > -4 + 3
y > -4
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Solve for x
x + 3 > -1 -x
Answer:
x > -2
Step-by-step explanation:
x + 3 > -1 - x
x + x + 3 > -1 - x + x
2x + 3 > -1
2x + 3 - 3 > -1 - 3
2x > -4
2x/2 > -4/2
x > -2
Store #1 sold packages of eggs 1 dozen (12) for $1.44 a package. Store #2 sold packages of eggs 3 dozen (36) for $4.68. Which has the better price? Show the comparing prices.
Store #1 has the better price amount , as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs.
Store #1 has the better price, as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs. To compare the prices, we need to calculate the cost per dozen eggs for each store. To do this, we divide the cost by the number of eggs. For Store #1, the cost per dozen eggs is $1.44 divided by 12, which is $0.12. For Store #2, the cost per dozen eggs is $4.68 divided by 36, which is $0.13. Therefore, Store #1 has the better price, as it is cheaper than Store #2. By comparing prices, we can find the best deal for our money. It is important to compare prices to get the best value for our money, as it can help us save money in the long run. Additionally, by comparing prices, we can make sure we are getting the highest quality product at the best price.
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a concert promoter is forecasting this year's attendance for one of his concerts based on the following historical data: year attendance four years ago 10,000 three years ago 12,000 two years ago 18,000 last year 20,000 what is this year's forecast using exponential smoothing with alpha
16,000 people are expected to attend this year's events, according to the exponential smoothing method.
Below is a forecast utilizing the exponential smoothing method.
Forecasting with exponential smoothing is done using the formula below.
Ft+1 = Ft + α (At – Ft )
Find the forecasting for this year using the formula Ft+1 = Forecasting Value of the Upcoming Year =?
Ft = Forecasting Value of the Previous Year = 15,000= Predicted Attendance for the Previous Year
At = Actual Value of the Previous Year = 20,000
Smoothing Constant (which lies between 0 and 1) =0.2 =α
F(last year) + α (A(last year) – F(last year) )=F (This year)
= 15000 + 0.2 (20000 – 15000)
= 15000 + 0.2 (5000)
= 15000 + 1000
= 16000
F (This year) = The anticipated attendance for this year is 16000.
According to the exponential smoothing method, 16,000 people are expected to attend this year's events.
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4. Last year, Bill Novato drove 38,986 miles and had these
expenses: gas, $7,787. 25; maintenance and miscellaneous,
$318. 80; parking and tolls, $325. 00; tires, $300. 00; wash and
wax, $75. 00; insurance, $614. 80; license, $74. 90; loan interest
$412. 20 and depreciation, $5,780. 0. What was his cost per
mile last year?
The cost per mile that Bill Novato had last year was $0.40.
As per the data given:
Last year, Bill Novato drove 38,986 miles.
Also he had the expenses as follows:
Gas: $7787. 25
Maintenance and miscellaneous: $318.80
Parking and tolls: $325.00
Tires: $300.00
Wash and wax: $75.00
insurance: $614.80
License, $74.90
Loan interest: $412.20
Depreciation: $5780.0
To find the cost per mile we just need to divide all the expenses Bill had on the car by the amount of miles he drove.
The total amount of expenses can be found by adding all the expenses together.
= 7787.25 + 318.8 + 325 + 300 + 75 + 614.8 + 74.9 + 412.2 + 5780
= 15687.95
The total expense of the car was $15687.95.
Dividing this value by the total amount of miles driven, we have:
[tex]$\frac{15687.95}{38986}=0.40239957933[/tex]
The cost was approximately $0.40 per mile.
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help me also the 10 is negative on the end
Answer:
-96188148454815460181518484413
a seamstress has 35 of a box of buttons left in her kit. after doing some mending, she used 14 of another box. if both boxes contained 200 buttons when they were originally bought, how many buttons did the seamstress use for her recent mending?
Therefore, the seamstress used 200 + 200 - 179 = 221 buttons for her recent mending.
As per the data given in the above question are as bellow,
The data provided are as bellow,
There are 35 buttons remaining in a package in the equipment of a seamstress.
She repaired some things and used 14 of another box.
How many buttons did the seamstress use for her most recent repair if both boxes initially had 200 buttons?
The seamstress had
200 - 35 = 165 buttons
left in her first box after using some of them.
So she had
165 + 14 = 179 buttons in total.
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30 POINTS AND BRANLIEST
Mahek owns a holiday tree farm. There are currently 800 trees on the property. Each year 20% of the trees are harvested and sold, and 200 seedlings are planted. Write a recursive definition for the number of trees on the farm at the beginning of the nth year.
The recursive formula is,
aₙ = 0.20aₙ₋₁ + 200
The correct option is A.
What is a sequence?An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).
Given:
Mahek owns a holiday tree farm.
There are currently 800 trees on the property.
Each year, 20% of the trees are harvested and sold,
and 200 seedlings are planted.
a₁ = 800
The recursive formula is,
aₙ = 0.20aₙ₋₁ + 200
Hence, aₙ = 0.20aₙ₋₁ + 200
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if a triangle is other side is 7m and other side is 12m what is the other side going to be
If a triangle has one side of 7 meters and another side of 12 meters, the other side is approximately 13.928 meters long.
A triangle is a three-sided polygon that has three angles and three sides. The sides of a triangle are connected by its angles, and the sum of the angles of a triangle is always equal to 180 degrees. The length of the sides of a triangle affects the size of its angles, and the size of its angles affects the length of its sides.
Now, in the case of a triangle where one side is 7 meters and another side is 12 meters, the length of the third side can be calculated using the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Mathematically, it can be written as
=> a² + b² = c²,
where a and b are the lengths of the two sides, and c is the length of the hypotenuse.
Using the Pythagorean theorem, we can find the length of the third side of the triangle. Let's call the length of the third side "x". So,
=> x² = 7² + 12² = 49 + 144 = 193.
Taking the square root of both sides, we get
x = √(193) = 13.928.
So, the third side of the triangle is approximately 13.928 meters long.
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If the area of a rectangle is 1445√5 square inches, what are possible dimensions of the rectangle? Explain your reasoning.
The possible dimensions of the rectangle will be 12 and 12√5.
What is a rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the area of the rectangle is 144√5. The dimensions of the rectangle can be calculated by factorizing the given area as below:-
Area = 144√5
L x W = 12 x 12√5
So the dimensions will be L = 12 and W = 12√5.
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Andrew and Sebastian are training for a weightlifting competition. In order to prepare, each of them has created their own personal training pian asidious
• Andrew will start off by lifting 50 pounds and will increase the weight he fifts by 10% each week
Sebastian will start off by lifting 40 pounds and will increase the weight he lifts by 10 pounds each week
Andrew's training plan can be modeled by an exponential function, and Sebastian's training plan can be modeled by a linear function. So, correct option is c) .
Describe Linear Function?A linear function is a mathematical function that maps a set of inputs to a set of outputs in such a way that the output is proportional to the input. In other words, if the input changes by a certain amount, the output changes by a constant factor.
The equation of a linear function has the form:
y = mx + b
where x is the input variable, y is the output variable, m is the slope of the line, and b is the y-intercept. The slope represents how much the output changes for each unit change in the input, and the y-intercept represents the output value when the input is zero.
Linear functions are represented by straight lines on a graph. If you plot the input and output values for a linear function on a graph, the resulting points will form a straight line. The slope of the line represents the rate of change of the output with respect to the input, and the y-intercept represents the initial value of the output.
In Andrew's training plan, the weight he lifts is increasing by a constant percentage each week, which is characteristic of exponential growth. In Sebastian's training plan, the weight he lifts is increasing by a constant amount each week, which is characteristic of linear growth.
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The complete question is:
Andrew and Sebastian are training for a weightlifting competition. In order to prepare, each of them has created their own personal training plan as follows:
Andrew will start off by lifting 50 pounds and will increase the weight he lifts by 10% each week.Sebastian will start off by lifting 40 pounds and will increase the weight he lifts by 10 pounds each weekWhich of the following statements are true?
a) Andrew and Sebastian both increase the weight they lift each week by the same amount.
b) Andrew's training plan can be modeled by a linear function, and Sebastian's training plan can be modeled by an exponential function.
c) Andrew's training plan can be modeled by an exponential function, and Sebastian's training plan can be modeled by a linear function.
d) Andrew increases the weight he lifts each week by equal factors, and Sebastian increases the weight he lifts each week by equal differences
e) Andrew increases the weight he lifts each week by equal differences, and Sebastian increases the weight he lifts each week by equal factors.
furniture builder pays $100 for the materials necessary to build one porch swing. A store sells the swing for $250. What is the ratio of the cost in dollars of the materials to the sale price in dollars?
The ratio of the cost in dollars of the materials to the sale price in dollars is 0.4:1
The cost of the materials for one porch swing is $100 and the sale price of the swing is $250.
To find the ratio of the cost of the materials to the sale price, we divide the cost of the materials by the sale price as follows -
$100 ÷ $250 = 0.4
So, the ratio of the cost of the materials to the sale price is 0.4:1.
This means that for every $1 in the sale price, $0.4 is spent on materials or we can say that 40 cents of every dollar go towards materials.
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BIG IDEAS MATH QUESTION
There are 26 letters in the English alphabet. Based on Section 2.2, there should be 226 possible subsets. (a) Is every possible subset a valid word? Explain or give an example. (b) On Sesame Street, Big Bird found the longest "word" ever seen. What was that word? (c) Explain why "ALONG" is a valid subset but "GALLON" is not a valid subset.
Not every possible subset is a valid word. The longest "word" seen on Sesame Street was a string of all 26 letters of the alphabet. "ALONG" is a valid subset because it can be found in the English dictionary, and it is a recognized English word.
(a) No, not every possible subset is a valid word. For example, the subset "zxy" is not a valid English word.
(b) The longest "word" seen on Sesame Street was a string of all 26 letters of the alphabet.
(c) "ALONG" is a valid subset because it can be found in the English dictionary, and it is a recognized English word. However, "GALLON" is not a valid subset because it is not a recognized word in the English language. This is because the letters are not arranged in the correct order, and there is no recognized word in the English language with this arrangement of letters.
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Solve the equations for x
AX+5=CX
X=…… if a does not equal to c
The x-value of the intersection point of the lines is ( d - b)/(a-c).
Intersection of lines
Given the equation of a line communicated as;
y = ax +b and;
y = cx + d.
Comparing the two lines, we will have:
ax + b = cx + d
Make x the subject of the method:
ax - cx = d = b
x (a-c) = d - b
x = ( d - b)/(a-c)
Thus the x-worth of the intersection point of the lines is ( d - b)/(a-c)
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Could some one please tell me the explanation and answer to this section I will give 20 points
The expressions when evaluated are √(81/49) = 9/7 and (2/5)² = 4/5
How to evaluate the expressionsFrom the question, we have the following visible expressions that can be used in our computation:
√(81/49) and (2/5)²
Solving (a), we have
√(81/49)
Take the square roots
This gives
√(81/49) = 9/7
The expression cannot be further evaluated
Solving (b), we have
(2/5)²
Evaluate the exponents
This gives
(2/5)² = 4/5
The expression cannot be further evaluated
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ay, i just want to have a conversation
Answer:
hey
Step-by-step explanation:
Which of the numbers listed below are solutions to the equation? Check all
that apply.
|x| = 100
A. -100
B. 10
C. 100
D. -10
E. 25
F. None of these
Answer: A and C
Step-by-step explanation:
Abs. val is distance from 0, and 100 and -100 are both the same distance from 0, so x=100 and x=-100.
bacteria colonies increase by 73percent every 2 days if you start with 150 bacteria micrograms how large would the colony be after 8 days
If you start with 150 bacteria micrograms, the colony would have 1,343.61756 bacteria after 8 days.
We solve this problem using our understanding of the rules of calculating percentages. We have been given the condition that bacteria colonies increase by 73% after every 2 days.
So, starting with 150 bacteria,
after 2 days we'll be having
150+ (73% of 150) bacteria
i.e. 150 + (0.73×150)
=150 + 109.5
=259.5 bacteria
and after 4 days the no. will be,
259.5 + (0.73×259.5)
=259.5 + (189.435)
=448.935 bacteria
similarly after 6 days,
448.935 + (0.73×448.935)
=448.935 + (327.722)
=776.65755 bacteria
and finally after 8 days,
=776.65755 + (0.73×776.65755)
=776.65755 + 566.960012
=1,343.61756 bacteria
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Could you please help me with 17, 18, and 19 please
Answer:
17
a. 5^4 = 625
b. 3^4 = 81
18
a. log base 10000 , 10 = -4
b. log base 2, 1/2 = -1
19. Inverse represent opposite functions, when you plug one into the other using variables, the result should be x.
Step-by-step explanation: Remember that when converting, use the base of the log function as the base of exponent. The answer to the log function represents the value of the exponent. Hope this helps!
the relative approximate error at the end of an iteration to find the root of an equation is 0.004% . the least number of significant digits we can trust in the solution is
The least number of significant digits we can trust in the solution is 2.
The relative approximate error (RAE) of 0.004% gives us an indication of the precision of the solution at the end of an iteration, but it does not directly indicate the number of significant digits that can be trusted in the solution.
In general, the number of significant digits that can be trusted in a solution depends on several factors, such as the accuracy of the initial guess, the choice of method for finding the root, and the behavior of the function being evaluated.
As a rough estimate, it is common to assume that the number of significant digits in the solution is equal to the number of significant digits in the RAE, minus one.
In this case, the RAE is 0.004%, which has three significant digits, so the least number of significant digits we can trust in the solution would be
three - 1 = 2 significant digits
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Answer this question
Mai is visiting a city to see a tall land mark. They are 80 feet away when they spot it. To see the top they have to look up at an angle of 85. 66 degrees. How tall is the land mark?
The height of Eiffel Tower is found as 1054.12 feet approximately.
We can use the cosine trigonometric ratio here to find the height of Eiffel Tower.
Given that:
Mai is 80 feet away from the tower.
She is looking up the tower's top at an angle of 85.66 degrees.
To find:
The height of Tower
Using the right-angled triangle's cosine ratio from angle of elevation:
Refer to the diagram attached below.
Assuming height of Mai is negligible in comparison to height of Eiffel tower, we have triangle ABC as right angled triangle.
Using cosine of angle C (since we're given base length and length of perpendicular is needed which is height of tower), we get:
[tex]\begin{aligned}& \tan (C)=\frac{A B}{B C} \\& \tan \left(85.66^{\circ}\right)=\frac{h}{80} \\& h=\tan \left(85.66^{\circ}\right) \times 80 \\& h \approx 13.1765 \times 80 \\& h \approx 1054.12 \text { feet }\end{aligned}[/tex]
Therefore, the height of the Eiffel tower is found to be 1054.12 feet approximately.
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Riley wants to solve the equation 1/4(25x + 3/5) =-2.5 - 3/8x She uses a graphing program to graph the equations y = 1/4(25x + 3/5) and y=-2.5 - 3/8x. Use the graph to find the solution of 1/4(25x+3/5= -2.5-3/8x.
A. -0.4
B. -2.35
C. (-0.4,-2.35)
D. Cannot be determined
Using the graph, the solution of 1/4 (25x + 3/5) = -2.5 - 3/8x is the point of intersection which is
C. (-0.4,-2.35)What is the solution of system of equations?The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions of systems of equations.
Finding all of these intersections or common solutions is what it means to solve a system.
Examining the attached graph the point of intersection is (-0.4,-2.35) and this is hence the solution.
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an without replacement, what is the probability that the first 2 selected are white and the last 2 black?
There is a 0.99% chance of getting the first 2 white and the last 2 black if you draw 4 balls without replacement from a bag containing 10 white and 20 black balls.
If there are W white balls and B black balls in a bag, and you are drawing 4 balls without replacement, the probability that the first 2 selected are white and the last 2 black can be calculated as follows:
[tex]P(WWBB) = (W/ (W + B)) * ((W-1) / (W + B - 1)) * (B / (W + B - 2)) * ((B-1) / (W + B - 3))[/tex]
So, for example, if there are 10 white balls and 20 black balls, then the probability of getting the first 2 white and the last 2 black is:
[tex]P(WWBB) = (10 / 30) * (9 / 29) * (20 / 28) * (19 / 27) = 0.0099[/tex]
This means that there is a 0.99% chance of getting the first 2 white and the last 2 black if you draw 4 balls without replacement from a bag containing 10 white and 20 black balls.
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ANSWER NOW IS DUEEEE. AND GIVE THE CORRECT ANSWER
The exposure time when x = 560 is: 13.66 hour
What is quadratic model?A method of simulating the relationship between two sets of variables is quadratic regression. The outcome is a regression equation that may be applied to the data to generate predictions. The formula for the equation is: y = ax² + bx + c, where a ≠ 0. Situations that may be approximated by quadratic functions include tossing a ball, firing a cannon, jumping from a platform, and striking a golf ball. Researchers may find the quadratic model to be a useful tool for data analysis in identifying the combined impact of success objectives on academic accomplishment. We anticipate that future studies on the impact of academic performance objectives will frequently use the quadratic model to analyse their data.
Given that,
T = 0.0002x² - 316x + 127.9
exposure time = T
Now, calculate exposure time when x = 560
So, T = 0.0002x² - 0.316x + 127.9
T = 0.0002×(560)² - 0.316 × (560) + 127.9
T = 62.72 - 176.96 + 127.9
T = 13.66 hour
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pathagorean theorum, solve and steps if possible
Answer: A, 4[tex]\sqrt{14}[/tex]
Step-by-step explanation:
18^2-10^2=224
[tex]\sqrt{224}[/tex] =4[tex]\sqrt{14}[/tex]
Answer: 4 √ 14
Step-by-step explanation:
Pythagorean theorem is (a^2 + b^2 = c^2)
Step 1. (10^2) + (x^2) = (18^2) {we divided the 20 by 2 to get one right triangle for the pythagorean theorem.}
Step 2. 100 + x^2 = 324
Step 3. x^2 = 224
Step 4. x ≈ 15 (rounded to the nearest whole number) (x = 14.9666295)
Step 5. Eliminate the wrong choices. B and D are both eliminated, because they are whole numbers, and they don't match the answer we got.
Step 6. Find the square root. 2 √ 106 is ≈ 20.59126, which isn't equal to our 14.966, .
Step 7. With all but one answer remaining, the answer would be 4 √ 14, and we can double-check. (14.9666295 = 14.9666295.)
3. Shown is a rectangular based pyramid. The apex E is directly over the centre E of the base. B 8cm 10cm с 5cm D AD = 8cm CD = 5cm CE = 10cm a. Calculate the height of the pyramid b. Calculate the angle EBD
The height of the pyramid is 6 cm and the angle EBD is 36.87 degrees
Calculate the height of the pyramidFrom the question, we have the following parameters that can be used in our computation:
AD = 8cm CD = 5cm CE = 10cm
Given that the apex E is directly over the centre, we have
Height (h^2) = CE^2 - AD^2
So, we have
h^2 = 10^2 - 8^2
This gives
h = 6
Calculate the angle EBDHere, we can use the definition of tangent which is represented as
tan(EBD) = h/AD
So, we have
tan(EBD) = 6/8
tan(EBD) = 0.75
Take the arctan of both sides
EBD = 36.87
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A commercial for a breakfast cereal is shown during a certain television program. The manufacturer of the cereal wants to estimate the percent of television viewers who watch the program. The manufacturer wants the estimate to have a margin of error of at most 0.02 at a level of 95 percent confidence. Of the following, which is the smallest sample size that will satisfy the manufacturer’s requirements?
Minimum sample size to satisfy manufacturer requirements is 2401.
What is sample size?The sample size is defined as the number of observations used for determining the estimations of a given population. The size of the sample has been drawn from the population. The number of entities in a subset of a population is selected for analysis.
Given,
Margin of error m = 0.02
for Confidence interval = 95% , Z - value = 1.96
Sample size n = Z²p(1 – p)/m²
p is the proportion of population (generally taken as 0.5),
m is the margin of error.
n = (1.96)²× 0.5(1 - 0.5)/(0.02)²
n = (1.96)²× 0.5(0.5)/(0.02)²
n = 2401
Hence, 2401 is the smallest sample size.
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