ome Spring 2020
Englis
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
38 x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29
Answers
Answer:the first choice
Step-by-step explanation:
The test has 29 problems. That means x problems + y problems =29
The x problems are worth 5 points. So that’s 5x. The y problems are worth 2 points. So that’s 2y. The total the points add up to is 100. So 5x+2y=100
The first answer choice shows that
Answer:
A
Step-by-step explanation:
x + y = 29, 5x + 2y = 100
Related Questions
In recent years, Sheffield Transportation purchased three used buses. Because of the frequent turnover in the accounting department, a different accountant was in charge of selecting the depreciation method for each bus, and various methods have been used. Information concerning the buses is summarized in the table below. Bus 1, Bus 2, Bus 3, For the declining-balance method, the company uses the declining method rate. For units-of-activity method, total miles are expected to be 125,000. Actual miles of use in the first 3 years were 2021, 27,000; 2022, 35,000; and 2023, 33,000.
(a1) For Bus #3, calculate depreciation expense per mile under units-of-activity method.
Answers
Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.
How is the depreciation expense per mile determined?The units-of-activity method is one of the depreciation methods in use.
Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.
The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.
Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)
Expected total miles for Bus #3 = 125,000
Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)
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Question Completion:Bus Acquired Cost Salvage Useful Life Depreciation
Value in Years Method
1 1/1/12 $99,100 $7,900 4 Straight-line
2 1/1/12 128,000 11,000 4 Declining- balance
3 1/1/13 66,350 8,800 5 Unit-of-activity
Write in simplest radical form.
Answers
Step-by-step explanation:
i think this is the answer if its wrong im sorry
What is the spread of the data in the dot plot?
Number of Apples in Each Bag
10
11
12
13
14
15
from 0 to 5
Ofrom 10 to 15
ОООО
O from 12 to 15
O from 0 to 6
Answers
Answer:
from 10 to 15
Step-by-step explanation:
because when your finding the spread you take the highest and lowest number.
An IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of the residents of a state if you want to be 95% confident that the sample mean is within 4 IQ points of the true mean.
What is the required sample size?
Answers
Answer:
55
Step-by-step explanation:
\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)
Make sure to always round up the required sample size to the nearest integer!
WILL MARK BRAINLIEST
Use the function below to find F(3)
F(x)=(1/5)^x
Answers
The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.
What is a function?A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.
A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.
F(x)=(1/5)ˣ
F(3)=(1/5)³
F(3)=1/125
Hence, the value of the function F(3) will be 1/125.
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In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above the average sea level. After 6 hours pass, the low tide occurs at 6 feet below the average sea level. In this task, you will model this occurrence using a trigonometric function by using x as a measurement of time. Assume the first high tide occurs at x = 0.
Determine these key features of the function that models the tide:
1.amplitude
2.period
3.frequency
4.midline
5.vertical shift
6.phase shift
Answers
Answer:
1. The amplitude of the function is 12 feet, since it moves from 6 feet above to 6 feet below the average sea level.
2. The period of the function is 12 hours, since it takes 12 hours for the tide to go from high to low and back again.
3. The frequency of the function is 0.5 (1/12), since it takes 12 hours for the function to repeat itself.
4. The midline of the function is the average sea level.
5. There is no vertical shift.
6. The phase shift is 0, since the first high tide occurs at x = 0.
What value is needed to complete the square? All steps included
Answers
Answer:
The correct answer is 9.
Step-by-step explanation:
Using the Special Factoring Formula for Perfect square:
\(u^{2} - 2uv + v^{2} = (u - v)^{2}\)
Since we have the given, \(x^{2} - 6x + __\) ___,
We must think of a factor that adds up to -6x, and must lead to a perfect square.
A way to do this is by taking the coefficient middle term, -6, dividing it by 2, and squaring it:
\((\frac{6}{2})^{2} = (3)^{2} = 9\)
Therefore, the missing constant term is 9.
To check whether it is correct, we can take \((x - 3)^{2}\), and multiply using the FOIL method. We'll have the following answer:
\((x - 3) (x - 3)\)
\(= x^{2} - 3x - 3x + 9\)
\(= x^{2} - 6x + 9\)
Therefore, we came up with the correct constant that completes the square, which is 9.
What is the y-intercept of the line?
x 16 24 32
y 44 64 84
Answers
Answer:
The y-intercept of the line is 2
Step-by-step explanation:
You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax
But here it seems easy enough once you see that the x values in the table increase by a factor of 8 and the y values in the table increase by a factor of 20.
(By the way, this is enough to give you the slope, because it is 8/20 ). But why bother?
Just extrapolate the table to the left, and you will find the y value where x = 0
x 0 8 16 24 32
y 2 22 44 64 84
So the y-intercept of the line is 2.
Extra:
The full equation of the line is:
y = 8/20x + 2
Answer:
(0,4)
Step-by-step explanation:
The Butlers bought a $332,000 house. They made a down payment of 42,000 and took out a mortgage for the rest. Over the course of 15 years they made monthly payments of $2,447.19 on their mortgage until it was paid off.
(a) What was the total amount they ended up paying for the house (including the down payment and monthly payments)?
(b) How much interest did they pay on the mortgage?
Answers
Answer:
Step-by-step explanation:
(a)Mortgage = 332000 - 42000 = 290000
15 * 12 = 180 months
Total monthly payments = 180 * 2447.19 =440494.2
Total = 440494.2 + 42000 = 482494.2
(b) Interest = 482494.2 -290000
= 192494.2
Answer:
a) 482,494.20
b) I'm not sure
Step-by-step explanation:
what is 4/35 in the simplest form?
Answers
Answer:
It can't be simplified. 4/35 IS simplest form.
Hannah as 3 box of rice one box contain 3 g the other contain 150 g and the third is 500 she want to divide the rice equally to 5 bags how much would he put on each bag?
Answers
Answer:
730 grams of rice
Step-by-step explanation:
A rectangular paperboard measuring 20 in long and 12 in wide has a semicircle cut out of it, as shown below. Find the area of the paperboard that remains. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer
Answers
The area of the remaining paperboard is 246.91 in²
How to we calculate cut out area?A shape can be cut-out of another shape. For example a circle cut off a rectangle. The area of the remaining part of the shape can be calculated as area of original shape - area of cut-out shape
The area of a rectangle = l×w
= 20×21 = 420in²
a semi circle is the shape cut-out, therefore the area of the semi circle= ½πr²
= ½×3.14× 10.5²= 173.09in²
Therefore the area of the remaining part of the paperboard is 420-173.09= 246.91 in²
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Please look at the photo. Thank you!
Answers
The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x
How to calculate the composite functionsFrom the question, we have the following equations that can be used in our computation:
h(x) = x² + 3
f(x) = 3/4x
From the above, we have
(h o h)(x) = h(h(x))
So, we have
(h o h)(x) = (x² + 3)² + 3
Also, we have
(f o f)(x) = 3/[4(3/4x)]
Evaluate
(f o f)(x) = x
Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x
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Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
Answers
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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GIVING 100 POINTS! just answer these 5 and ignore my answers, unless they are somehow correct!
Answers
#1
(-3,1)(3,-3)\(\\ \sf\longmapsto m=\dfrac{-3-1}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}\)
Slope of the line perpendicular to it (Reciprocal of line slope)\(\\ \sf\longmapsto \dfrac{-3}{2}\)
Option B
#2
Attached(1)
#3
Attached (2)
#4
Attached (3)
#5
(-3,7)(3,3)\(\\ \sf\longmapsto Slope=m=\dfrac{3-7}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}\)
Put in slope intercept form
\(\\ \sf\longmapsto y=mx+b\)
\(\\ \sf\longmapsto 3=\dfrac{-2}{3}(3)+b\)
\(\\ \sf\longmapsto 3=b-2\)
\(\\ \sf\longmapsto b=3+2=5\)
Equation of the line:-
\(\\ \sf\longmapsto y=\dfrac{-2}{3}x+5\)
Option C
Jenny is tryin to find the real roots of x²-3x+7 by using the quadratic
Formula
Answers
The roots of the quadratic equation are (3 ± √(-19) / 2. Hence, the polynomial has no real roots.
What are the roots of the equation :The roots of an equation are the values of the variable that make the equation equal to zero. In a quadratic equation of the form ax²+bx+c=0, the roots can be found by using the quadratic formula:
x = (-b ± √(b²-4ac)) / 2a
Here we have
The quadratic equation x²- 3x+7
To find the roots of the quadratic equation x²-3x+7, we can use the quadratic formula, which states that the roots are given by:
x = (-b ± √(b²-4ac) / 2a
where a, b, and c are the coefficients of the quadratic equation.
In this case, we have a = 1, b = -3, and c = 7.
Substituting these values into the formula, we get:
x = (-(-3) ± √[ (-3)² - 4(1)(7) ] / 2(1)
x = (3 ± √(9 - 28)) / 2
x = (3 ± √(-19) / 2
Therefore,
The roots of the quadratic equation are (3 ± √(-19) / 2. Hence, the polynomial has no real roots.
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Complete Question
Jenny is trying to find the real roots of x²-3x+7 by using the quadratic
find the real roots of the equation.
In a certain board game, a 12-sided number cube showing numbers 1–12 is rolled. If three such number cubes are rolled, what is the probability that at least 1 of them shows a 2?
0.0006
0.2297
0.7703
0.9994
Answers
Answer:
0.7703
Step-by-step explanation:
The easiest way to calculate this is to find the probability that none of the cubes show a 2. The probability that a cube doesn't show a 2 is 11/12.
\(\frac{11}{12} * \frac{11}{12} * \frac{11}{12} =\) 0.7703. Now we have to subtract this value from one which gives us 0.2297. Hope this helps
Answer:
The correct answer is 0.2297 (B)
Step-by-step explanation:
I just finished the Unit test review on Edge-The other person is wrong!!!
NEED HELP ON THIS ASAP PLS
Answers
Answer:
65.4
for this triangle we use the SOHCAHTOA rules because it is a right angled triangle.
so the rule used here is \(Tan x= \frac{opposite}{adjacent}\)
\(Tan (17)= \frac{20}{x}\)
we cross multiply both sides
\(\frac{tan(17)}{1} =\frac{20}{x}\)
\(tan(17)x=20\)
\(x=\frac{20}{tan(17)} =65.41705237\)
the question said to the nearest tenth, so 65.4 is the final answer
The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66; The line of best fit overpredicts the temperature change.
2.66; The line of best fit underpredicts the temperature change.
1.94; The line of best fit underpredicts the temperature change.
−1.94; The line of best fit overpredicts the temperature change.
Answers
The correct statement regarding the residual in this problem is given as follows:
2.66; The line of best fit underpredicts the temperature change.
What are residuals?For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
For a rain amount of 0.4 inches, the predicted temperature change is given as follows:
y = -1.4 x 0.4 + 0.2
y = -0.36.
Then the residual is given as follows:
R = 2.3 - (-0.36)
R = 2.66 -> underpredicts the change.
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Answer:
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sofiapenaloza
05/31/2023
Mathematics
College
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The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66; The line of best fit overpredicts the temperature change.
2.66; The line of best fit underpredicts the temperature change.
1.94; The line of best fit underpredicts the temperature change.
−1.94; The line of best fit overpredicts the temperature change.
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joaobezerra
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31.3K answers
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The correct statement regarding the residual in this problem is given as follows:
2.66; The line of best fit underpredicts the temperature change.
What are residuals?
For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
For a rain amount of 0.4 inches, the predicted temperature change is given as follows:
y = -1.4 x 0.4 + 0.2
y = -0.36.
Then the residual is given as follows:
R = 2.3 - (-0.36)
R = 2.66 -> underpredicts the change.
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Step-by-step explanation:
Could someone help me with this Math question ? As soon as possible !
What is the opportunity cost of buying a $.75 soda every school day for three years instead of drinking water? Assume you are in school for 36 weeks a year and that water is free.
Answers
Answer:
$405 savings per student every 3 year period.
Step-by-step explanation:
($.75/soda)*(1 soda/day)*(5 school days/week)*(36 weeks/year)*(3 years)
Cancel out the units where possible. You will be left with $ (for the total spent over the 3 years)
.($.75)*(1 )*(5 k)*(36 )*(3 ) = $405 savings per student every 3 year period.
Question 2 options:
A cylinder has a radius of 7 yards. Its volume is approximately 2,923.34 cubic yards. The height of the cylinder is approximately ___ yards.
Answers
The height of the cylinder with radius of 7 yards and given volume of 2,923.34 cubic yards is calculated as; h = 19 yards
How to calculate the volume of a cylinder?A cylinder is defined as a 3D solid shape that consists of two identical and parallel bases linked by a curved surface.
Now, the formula to find the volume of a cylinder is;
V = πr²h
where;
r is radius
h is height
V is volume
The parameters are;
Radius; r = 7 yards
Volume; V = 2923.34 cubic yards
Thus;
2923.34 = π * 7² * h
h = 2923.34/(49π)
h = 19 yards
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Please help asap!!!!!!
Answers
By SAS congruence triangle MLN and triangle OLN are congruent.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Given that, LM≅LO, ∠MLN≅∠OLN.
LM≅LO (Given)
∠MLN≅∠OLN (Given)
LN≅LN (Reflexive property of congruence)
ΔMLN≅ΔOLN (SAS congruence)
∠M≅∠O (CPTC)
MN≅ON (CPTC)
Therefore, by SAS congruence triangle MLN and triangle OLN are congruent.
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please help?? its unit rate so plz help tell me how to do it
Answers
Answer:
1.2 dollars
Step-by-step explanation:
You have to divide the dollar count by the pound count.
So basically:
6/5
This gives you 1.2 dollars.
When you do unit rate, you just have to divide one value by the other value.
The value you divide by, and the value you divde, vary depending on what the question asks.
For instance, if this question asked what the pound count for 1 dollar would be, you would end up divide the 5 pounds by 6 dollars(5/6) instead of divideing the 6 dollars by 5 pounds like we did above(6/5).
Hope this helps!
Answer: 1.20 is your awnser
first divided 6.00 by 5
then you get $1.20 per pound
Step-by-step explanation:
Two students in the same Spanish class, Perry and Dakota, plan to get together after school
to make vocabulary flashcards. Perry started on the project yesterday and has already made
5 flashcards. Dakota hasn't started yet. Since Perry makes 4 flashcards per minute and
Dakota makes 5 flashcards per minute, Dakota will soon have the same number of
flashcards. How many flashcards will each student have at that point?
Write a system of equations, graph them, and type the solution.
Answers
Answer:
Dakota=20 perry=25 together= 45
Step-by-step explanation:
First step, remember to keep 5
second step, if they are find keep multiplying until they both meet the same number which is 20, but they both have 20. But Perry will have 25 since he started a day before
HELP MEH ASAP
Nine people sit in chairs in a room.
In how many ways can four of these people be chosen to stand up?
Enter your answer in the box.
ways
Answers
There total of 126 ways in which nine people can sit on chairs in the room when four of these people be chosen to stand up.
The problem is asking how many ways we can choose 4 people out of 9 to stand up. This is a combination problem since the order in which the people are chosen is irrelevant. We can utilize the combination formula, which is,
n choose k = n!/(k!(n-k)!), where n is the total number of items to choose from, and k is the number of items to choose. In this case, we have n=9 people and k=4 people to choose. Putting all the values in formula,
9 choose 4 = 9!/(4!(9-4)!)
9 choose 4 = 362880/(24 x 120)
9 choose 4 = 126.
Therefore, there are 126 ways to choose 4 people out of 9 to stand up.
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ms.smith bought a 5 pound bag of candy for her 6th grade classroom.She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.How many ounces of candy does Ms.Smith still have in her bag?
Answers
Answer:
42
It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.
But at least its correct.
Ms. Smith still have 42 ounces of candy in her bag.
What is Subtraction?To subtract means to take away from a group or a number of things.
Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.
1 pound = 16 ounces
She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds
3 pounds = 16*3 ounces = 48 ounces
She ate 6 ounces of candy
Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.
Hence, Ms. Smith still have 42 ounces of candy in her bag.
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Show why (2×3×7)^4 = 2^4 × 3^4 × 7^4 show work
Answers
\( {a}^{m} \times {b}^{m} = ( {ab)}^{m} \)
(2×3×7)⁴=(2×3)⁴×7⁴(2×3×7)⁴=(2×3×7)⁴RHS=LHSplease mark this answer as brainlist
Determine whether the graph represents a function.
Answers
A, the relation is not a function
in order for something to be a function, x (the input) can't repeat itself more than once
In ΔFGH, h = 840 inches, � m∠F=93° and � m∠G=49°. Find the length of g, to the nearest 10th of an inch.
Answers
Let's use the formula:
g / sin(G) = h / sin(H)
Substituting the given values:
g / sin(49°) = 840 / sin(93°)
Now, we can solve for g. Rearranging the equation, we have:
g = (sin(49°) * 840) / sin(93°)
Using a calculator, we can evaluate this expression to find the approximate length of g.
g ≈ (0.7502 * 840) / 0.9998
g ≈ 630.168 / 0.9998
g ≈ 630.227
Therefore, the length of side g, rounded to the nearest tenth of an inch, is approximately 630.2 inches.
Hani sells postcards for $3 each. Accounting for fixed costs, he sold 7 postcards for a net profit of $1. Write an equation in point-slope form that represents this relationship?
A. y – 1 = 3(x − 7)
B. y – 7 = 3(x − 1)
C. y + 1 = 3(x + 7)
D. y + 7 = 3(x + 1)
Answers
Answer:D
Hani sells postcards for $3 each. Accounting for fixed costs, he sold 7 postcards for a net profit of $1. Write an equation in point-slope form that represents this relationship?
y is the cards 7 is the nuber of cards 3 is how much each (x+1) 1 is net profit x=y