Step-by-step explanation:
sum of the triangle's angles is 180°
In the ratio we note the numbers by x
5x + 7x + 3x = 180
15x= 180
x= 12
so smallest angle will be 12*3=36° (because smallest was 3x)
others will be 12*5=60°
12*7=84°
Fifteen pounds of beans are distributed equally into 10 bags to give out at the food bank.
How many pounds of beans are in each bag?
Enter your answer in the simplest form.
Answer:
1.5 pounds of beans are in each nag
The measure of an angle is twenty-nine times the measure of its complementary angle. What is the measure of each angle?
Answer:
The small angle = 3
The larger angle = 29 * 3 = 87
Together they equal 90 as they should.
Step-by-step explanation:
Let the compliment = x
Let the other angle = 29*x
Complementary angles = 90
x + 29x = 90
30x = 90
30x/30 = 90/30
x = 3
Answer:The angle is 87 degrees and its complement is 3 degrees.
Step-by-step explanation ion enn kno i jus got it right so im givin u da answer
Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by LaTeX: h=-4.9t^2+12h = − 4.9 t 2 + 12, where t is seconds. After how many seconds will Logan hit the water?
Answer:
Time, t = 2.44 seconds
Step-by-step explanation:
Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by :
\(h=-4.9t^2+12t\)
It is required to find the time after which Logan will hit the ground. At this point, h = 0
\(-4.9t^2+12t=0\\\\t(-4.9t+12)=0\\\\t=\dfrac{12}{4.9}\\\\t=2.44\ s\)
So, after 2.44 seconds it will hit the water.
Which of these statements is true
Answer:
B: The y-intercept is (0,2).
Step-by-step explanation:
See attached graph.
Answer:
B. The y-intercept is (0,2).
I think so...
Seven times the sum of a number 3 and equals 5 .
The number that satisfies the equation is -9/7.
What number satisfies the expression?An expression refers to the statement having minimum of two numbers, variables or both and an operator connecting them.
Let x be the number.
Then, we can write the word in expression of \(7(x+2) = 5\)
We should expand the left side:
7(x + 2) = 5
7x + 14 = 5
7x = 5 - 14
7x = -9
x = -9/7.
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Question on a picture
Answer:
c = 0
Step-by-step explanation:
Step 1: Write equation
15 - 5(4c - 7) = 50
Step 2: Solve for c
Distribute -5: 15 - 20c + 35 = 50Combine like terms: -20c + 50 = 50Subtract 50 on both sides: -20c = 0Divide both sides by -20: c = 0Step 3: Check
Plug in c to verify it's a solution.
15 - 5(4(0) - 7) = 50
15 - 5(-7) = 50
15 + 35 = 50
50 = 50
What is the distance between (-3,7) and (-3,-4)
There are 3 feet in 1 yard. How many feet are equal to 10 yards
Answer:
30 feet
Step-by-step explanation:
There a 3 ft in a yard
If there's 10 yards
then multiply 10 x 3 to get 30 feet
please help me answer this question
9514 1404 393
Answer:
D. -17%
Step-by-step explanation:
The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...
-20/120 = -1/6
As a percentage, that change is ...
-1/6 × 100% ≈ -16.667% ≈ -17%
The electric bill changed by about -17% from March to April.
_____
Additional comment
Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.
The percentage change is found by ...
% change = ((new amount)/(original amount) -1) × 100%
Above, we have rearranged this to ...
% change = ((new amount) -(original amount))/(original amount) × 100%
the nth term of a sequence is n^2+20
work out the first 3 terms
Answer:
21, 24, 29
Step-by-step explanation:
To calculate the first 3 terms, substitute n = 1, 2, 3 into the rule, that is
a₁ = 1² + 20 = 1 + 20 = 21
a₂ = 2² + 20 = 4 + 20 = 24
a₃ = 3² + 20 = 9 + 20 = 29
A person has a bag containing quarters and dimes. There are a total of 52 coins in the bag, and the total value of the coins is $8.35.
There are 23 quarters and 29 dimes in the bag.
How many quarters and dimes are in the bag?Let's denote the number of quarters as "q" and the number of dimes as "d".
We can set up a system of two equations based on the given information:
The total number of coins is 52:
q + d = 52
The total value of the coins is $8.35, where each quarter is worth $0.25 and each dime is worth $0.10:
0.25q + 0.10d = 8.35
To solve this system of equations, we can use substitution, elimination, or any other appropriate method.
Let's use elimination to solve this system of equations.
0.10(q + d) = 0.10(52)
25q + 10d = 835
25q + 10d = 835
0.25q + 0.10d = 8.35 (multiply by 100)
Now, let's multiply both sides of the first equation by 2 and the second equation by 8 to make the coefficients of "q" the same:
50q + 20d = 1670
200q + 80d = 6680
Now, let's subtract the first equation from the second equation to eliminate "q":
200q + 80d - (50q + 20d) = 6680 - 1670
150q + 60d = 5010
Now, let's divide both sides of the resulting equation by 30 to solve for "q":
150q/30 + 60d/30 = 5010/30
5q + 2d = 167
After trying different values, we find that when "q" = 23 and "d" = 29, the equation is satisfied and the condition "q + d = 52" is also satisfied. Therefore, there are 23 quarters and 29 dimes in the bag.
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88 + 32 = 8(___ + 4)
I need answer and work shown step by step and if graph needs to be shown please show it as well
SOLUTION.
AC and BD will intersect at the mid-point between points A and C.
So let's find the mid-point between points A and C
Point A(-2, 4) and point C(-6, 0)
This becomes
\(\begin{gathered} \text{Mid}-poi\text{nt = (}\frac{x1+x2}{2}),(\frac{y1+y2}{2}) \\ \\ =\frac{-2-6}{2},\text{ }\frac{4+0}{2} \\ \\ =\frac{-8}{2},\text{ }\frac{4}{2} \\ \\ \text{Mid-point= (-4, 2) } \end{gathered}\)Therefore, the correct answer is option C.
Need help with this problem
A rectangle is shown. The length of the rectangle is labeled 10 feet. The width of the rectangle is labeled 4 feet.
What are the dimensions if the poster is enlarged by a factor of three over two?
A. 12ft by 30ft
B. 2ft by 5ft
C.6ft by 15ft
D.5ft by 12ft
Answer:
C, 6 by 15 ft.
Step-by-step explanation:
10*3/2=15, and 4*3/2=6, so we get 6 by 15ft
Pls brainliest for leveling up
please help me !!!!!!
The equation representing total fraction strip is ³/₃ + ¹/₃ = ⁴/₃.
option B.
What is a fraction?
A fraction is a mathematical representation of a part of a whole or a ratio between two numbers. It consists of a numerator, which represents the number of parts being considered, and a denominator, which represents the total number of parts in the whole.
For this case, 1 is divided into, and 1 divide into 3.
To obtain the total fractions, we will add the individual fractions as shown below;
For this first fraction = ¹/₃ + ¹/₃ + ¹/₃
For the second fraction = ¹/₃
Total fraction = 3(¹/₃ + ¹/₃ + ¹/₃) + ¹/₃
Total fraction = ³/₃ + ¹/₃ = ⁴/₃
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Find the sides marked with letters:
m = ? z = ?
Answer:
z = 4.8
m = 5 1/3
Step-by-step explanation:
Here, we want to get and z
We use the principle of similar triangles
5/3 = 8/z
5z = 24
z = 24/5
z = 4.8
To get m;
3/m-2 = 4.8/m
3m = 4.8(m-2)
3m = 4.8m - 9.6
4.8m - 3m = 9.6
1.8m = 9.6
m = 9.6/1.8
m = 5 1/3
Vance invests $15,000 in an account
that pays 3 1/4% simple interest for
72 months. Assuming Vance doesn't
make any other deposits or
withdrawals, how much will be in his
account after 72 months?
Answer:
20,315.00
Step-by-step explanation:
hope this helps not sure if right though
don't put my answer I'm so confused sorry.
The amount that will be in his account after 72 months is $15487.5.
We have given that,
Principal = $15,000
What is the formula for the amount?Amount = Principal + Interest
Principal = $15,000
Get the interest
What is the formula for interest?Interest = PRT/100
Interest = 15000*13/4 * 3/100 (72months = 3years)
Interest = 195000/400
Interest = $487.5
Amount = 15000 + 487.5
Amount= $15487.5
Hence he will have $15.
Therefore, The amount will be in his account after 72 months.
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A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t
The inequality equation for the measurements of the rectangular field must satisfy t<225.
What is an inequality ?If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.
The length of the rectangle is 2t meters
the breadth of the rectangle is 50 meters
The perimeter of the rectangle is given by 2×(length+breadth)
Here the perimeter of rectangle is less than 1km=1000meter
Forming an equation with the given data
2×(2t+50)<1000
2t+50<\(\frac{1000}{2}\)
2t+50<500
2t<500-50
2t<450
t<\(\frac{450}{2}\)
t<225
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The correct question is "A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t when length of the field is 2t meters and breadth is 50 meters"
A news story reported about cheating in on-line poker. One player was found to be 15 standard deviations above the mean for his winnings.
The player being 15 standard deviations above the mean for their online poker winnings suggests an extremely rare level of skill or potential cheating.
Elaborate about a player cheating in online poker?
The reported case of a player being 15 standard deviations above the mean for their winnings in online poker is highly unusual and potentially indicative of cheating or an extremely rare level of skill. To provide more context, let's discuss what standard deviation represents and how it relates to this situation.
In statistics, the standard deviation measures the dispersion or spread of a dataset. It quantifies how much individual data points deviate from the mean, which is the average value of the dataset. A higher standard deviation indicates greater variability or dispersion of the data.
Assuming a normal distribution (a bell-shaped curve), approximately 68% of the data falls within one standard deviation from the mean, 95% within two standard deviations, and 99.7% within three standard deviations. When a data point is several standard deviations away from the mean, it becomes increasingly improbable under normal circumstances.
In the context of online poker winnings, if we assume that the distribution of winnings follows a normal distribution, a player who is 15 standard deviations above the mean would be an extreme outlier. Such an occurrence would be statistically rare, with a probability that is exceedingly low. It suggests that the player's performance is far beyond what can be reasonably expected by chance or normal skill levels.
While it's theoretically possible for someone to achieve extraordinary winnings legitimately due to exceptional poker skills, being 15 standard deviations above the mean raises suspicions. It could indicate cheating through unauthorized access to other players' information, using advanced software tools, or colluding with other players.
It's important to note that the specific details and evidence surrounding the reported case would be crucial in determining whether cheating or some other extraordinary circumstance was involved. Investigations, data analysis, and expert opinions would be necessary to draw any definitive conclusions.
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suppose s is a recursively defined set, defined by - the number 1 is in s - if n is in s, then so is 3n 2 - if n is in s, then so is 5n - 1 - if n is in s, then so is n 7. suppose you want to prove using structural induction that all members of s have a certain property. what do you have to prove in the base step? group of answer choices that the number 1 has the property, and the numbers 5, 4 and 8. that the numbers 5, 4 and 8 have the property. that the number 1 has this property. that the numbers 5, 4 and 8 are in the set s.
The correct answer is that you have to prove that the number 1 has this property in the base step.
To prove using structural induction that all members of the recursively defined set s have a certain property, you have to prove in the base step that the property holds for the smallest element of s, which is 1. Therefore, the correct answer is that you have to prove that the number 1 has this property in the base step.
Structural induction is a proof technique used for recursively defined structures, such as sets, functions, or data types. The idea behind structural induction is to prove a property holds for all elements of a structure by proving that the property holds for the base case(s) and then showing that if the property holds for the elements that make up the structure, it also holds for the structure itself.
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A rectangle with length 14ft and width 17ft
Answer:
Area:238 ft²
Perimeter: 62 ft
Step-by-step explanation:
You weren't clear on what you asked, so I can only assume that the question is asking for the area or perimeter.
To find the area, just multiply \(lw\).
14·17
=238
To find the perimeter, add 14 and 17 then multiply by 2:
\(2(14+17)\\=62\)
Hope this helps! :)
Coach G wants to buy new shoes for his 12 players. Modell’s is offering a 20% discount on each pair of shoes, which were originally priced $72.50. A 6.5% sales tax will be applied to the discounted price. The same shoes are also available on Jimmy Jazz’s website for $54.75. A 9% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each shoe. What is the difference in the total costs of the 12 pairs of shoes between the two stores?
under what circumstances will the chi-square test for goodness of fit produce a large value for chi-square?
The chi-square test for goodness of fit will produce a large value for chi-square under the circumstances where the observed frequencies significantly deviate from the expected frequencies based on the null hypothesis.
The chi-square test for goodness of fit is used to determine if there is a significant difference between the observed frequencies in a sample and the expected frequencies based on a specified distribution.
The test compares the observed frequencies in different categories or groups with the expected frequencies under the null hypothesis.
A large value for chi-square indicates a significant discrepancy between the observed and expected frequencies, suggesting that the null hypothesis is not supported.
This can occur in several circumstances.
First, if the sample size is large, even small differences between observed and expected frequencies can lead to a significant chi-square value.
Second, if there are substantial deviations between the observed and expected frequencies in one or more categories, the chi-square value will be large. This could indicate a lack of fit between the observed data and the expected distribution.
Additionally, if the assumptions of the chi-square test are violated, such as independence of observations or expected frequencies being sufficiently large, it can lead to inflated chi-square values.
These violations can distort the results and lead to a larger chi-square value.
In summary, the chi-square test for goodness of fit produces a large chi-square value when the observed frequencies significantly deviate from the expected frequencies, indicating a lack of fit between the observed data and the expected distribution.
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c) How many fifths are there in 20?
Answer:
they are 4 i think
Step-by-step explanation:
5 x 4 = 20
Answer:
100
Step-by-step explanation:
20 divided by 1/5 = 20 x 5/1 = 100
Evaluate (4)^-4 pls answer!!!
Answer:
Fraction: 1/256 or
Decimal: 0.00390625 or 0.00391
Step-by-step explanation:
4^-4=1/4^4
4^4=256
=1/256
I put a picture and numbers 1 and 2 are the ones I need help with.
-please help asap
Problem 1
The relationship between the input and output is this:
output = 4*(input)
Meaning that whatever the input is, multiply it by 4 to get the output.
For example, if the input is 3, then the output is 4*3 = 12.
If you're wondering "why 4?" It's because squares have 4 equal sides, and we multiply the side length by 4 to get the perimeter or distance around the square.
==========================================================
Problem 2
Let's replace "input" with x and "output" with y
That gives the equation y = 4*x or y = 4x. Both mean the same thing. Whenever we have a number next to a variable like this, it implies multiplication.
A soccer player takes a shot on goal 15 times and scores a goal 3 of those attempts. What are the odds of the soccer player scoring a goal?
a. 3/12
b. 4
c. 3/15
d. 5
The odds of the soccer player scoring a goal is 4. The correct option is (b).
The odds of an event happening can be calculated by dividing the number of successful outcomes by the number of unsuccessful outcomes.
In this case, the soccer player scored a goal 3 times out of 15 attempts.
The number of successful outcomes is 3 (goals scored), and the number of unsuccessful outcomes is 15 - 3 = 12 (failed attempts).
Therefore, the odds of the soccer player scoring a goal can be expressed as 3:12, which can be simplified to 1:4.
To match the given answer choices, we can rewrite the odds as a fraction by dividing both sides by the number of successful outcomes:
Odds = Successful outcomes : Unsuccessful outcomes
Odds = 3 : 12
Odds = 3/3 : 12/3
Odds = 1 : 4
So, the correct answer is option b. 4.
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This table shows the results of a survey that asked a group of people what time of day their favorite TV show aired. What time corresponds to the mode of this set of data? A. 8:00 P.M. B. 9:00 P.M. C. 10:00 P.M. D. 11:00 P.M.
Based on the table (see attachment), the time which corresponds to the mode of this data set is: B. 9:00 P.M.
What is mode?A mode simply refers to a statistical term that is used to denote the value that appears most often or occurs repeatedly in a given data set.
This ultimately implies that, a mode represents the value (number) with the highest frequency and this is 9:00 P.M with a frequency of 25.
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Answer: B 9:00
Step-by-step explanation:
Helpp (please tell me if you can’t see the numbers so I can tell you them)
Answer:
-6 is the y coordinate
Step-by-step explanation: