Answers
Answer:
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
Explanation below
Explanation belowHope this helps :)
Step-by-step explanation:
1/2 × 3/5 = 3/10
2 2/3 × 3/5 = 8/3 × 3/5 = 24/15
5/5 × 3/5 = 15/25
We need to find the Least Common Multiple (LCM) to order them from least to greatest.
The LCM is 150.
3/10 = 45/150
24/15 = 1 9/15 = 1 90/150
15/25 = 90/150
So the order from least to greatest is ...
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
Related Questions
What is the answer to this geometry problem?
Answers
Answer:
\(x=29\)Step-by-step explanation:
Here, MN= NP
→ \(128=2x+70\)
→ \(2x=128-70\)
Subtract :-
→ \(2x=58\)
Divide both sides by 2:-
→ \(\frac{2x}{2}=\frac{58}{2}\)
→ \(x=29\)
OAmalOHopeO
y = 3(-1)+1
This is my own problem
Answers
Answer: -2
Step-by-step explanation:
What is the slope of a line perpendicular to the given line plz
Answers
Answer:
it should be the negative repirocal of -2 so 1/2
Answer:
mPerpendicular= 1/2
Step-by-step explanation:
Factor the polynomial and use the factored form to find the real zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x) = x³ + x² − x − 1
Answers
The real zeros of P(x) are 1, −1, and −1.
We have,
To factor the given polynomial P(x) = x³ + x² − x − 1, we can use the Rational Root Theorem and synthetic division to find one of its roots, and then factor out the corresponding linear factor.
The constant term of P(x) is −1, and the leading coefficient is 1, so any rational root of P(x) must have a numerator that is a factor of −1 and a denominator that is a factor of 1.
Thus, the possible rational roots of P(x) are ±1 and ±1/1 = ±1.
To check which of these possible roots is actually a root of P(x), we can use synthetic division:
1 | 1 1 -1 -1
| 1 2 1
|-------------
| 1 2 1 0
Since the remainder is 0, we have found that 1 is a root of P(x), and we can write:
P(x) = (x − 1)(x² + 2x + 1)
The quadratic factor can be factored further as (x + 1)².
So,
P(x) = (x − 1)(x + 1)²
The real zeros of P(x) are the values of x that make P(x) equal to 0.
These occur when x = 1, and x = −1 (twice).
Therefore,
The real zeros of P(x) are 1, −1, and −1.
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Is -15.5 a rational number
Answers
Answer:
Yes
Step-by-step explanation:
A rational number is any number that can be expressed as a ratio of two integers, for example, 1/2. Rational numbers can be negative too. -15.5 can be expressed as the ratio of two integers in many ways: -31/2 or -62/4. So, yes! -15.5 is a rational number.
Diane invet ome money into an invetment account that pay 3. 4% annual interet compounded quarterly. After 20 year, the invetment account increaed to $7,872. 86. What wa Diane' initial invetment?
Answers
Diane's initial investment was $551.97 case of the investment account increased to $7,872.86.
Diane's initial investment can be calculated by using the formula for compound interest. The formula for compound interest is A = P \((1 + i/n) ^ {(nt)}\), where A is the total amount after n years, P is the initial investment, i is the annual interest rate, and n is the number of times the interest is compounded each year.
In this case, we are given the total amount after n years (A), the interest rate (i), and the number of times the interest is compounded each year (n). The only unknown is the initial investment (P).
Plugging the given values into the formula, we get:
P = A / \((1 + i/n) ^ {(nt)}\)
P = 7,872.86 / \((1 + (3.4/4)) ^ {(4 * 20)}\)
P = 7,872.86 / \((1 + 0.85) ^ {80}\)
P = 7,872.86 / 14.32
P = $551.97
Therefore, Diane's initial investment was $551.97.
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Compute the following arithmetic problems in Z/8. Represent your answer with the least positive representative of the appropriate equivalence class (a) [3] + [4] 7 ] (b) [2] . ([2] + [7]) 2 ]] (c) ([6] + [5]). ([3] + [7])
Answers
The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.
Here, we are given three equations as follows, let us solve them one by one-
a. [ [3] + [4] 7 ]
Here [z] = remainder when z is divided by 8
Thus, [4] = 4
⇒ [ [3] + 4*7 ]
= [ 3 + 28 ]
= [ 31 ]
= 7
b. [ [2] . ([2] + [7]) 2 ]
= [ 2 . (2 + 7) 2 ]
= [ 2*9*2 ]
= [ 36 ]
= 4
c. ([6] + [5]). ([3] + [7])
= (6 + 5). (3 + 7)
= 11*10
= 110
The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.
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Please answer this today - First correct answer becomes brainliest
Suppose you know x+2y=-1 and 3y-x=-19. What is xy?
Answers
{ 3y-x = -19
{ x = -1-2y
{ -x = -19-3y
{ x = -1-2y
{ x = 19+3y
-1-2y = 19+3y
y = -4
x = 19+3(-4)
x = 7
(x,y) = (7,-4)
——
check solution
{ 7+2(-4)=-1
{ 3(-4)-7=-19
{ -1 = -1
{ -19 = -19
It's in your genes: Human genetic material (DNA) is made up of sequences of the molecules adenosine (A), guanine (G), cytosine (C), and thymine (T), which are called bases. A codon is a sequence of three bases. Replications are allowed, so AAA, CGC, and so forth are codons. Codons are important because each codon causes a different protein to be created (a) how many different codons (b) how many different codons are there in which all three bases are different (c) the bases A and G are called purines, while C and T are called pyrimidines. How many different codons are there in which the first base is a purine and the second and third are pyrimidines?
Answers
Answer:
a. 64
b. 24
c. 16
d. 6/16
e. 1/8
Explanation:
a. How many different codones are there?
Answer: there are 64 different codons
b. How many different codons are there in which all three bases are different?
Answer:there are 24 different codons in which all three bases are different
c. The base A and G are called purines, while C and T are called pyrimidines. How many different codons are there in which first base is purines and second base is pyrimidines
Answer: there are 16 different codons where the which first base is purines and second base is pyrimidines
d. What is the probability that all three bases are different?
Answer: probability of all three bases being different is
Number of codons with three different bases / total number of codons
= 24/64 = 6/16
e. What is the probability that first base is purines and second and third base is pyrimidines?
Answer: prob is number of codons with first base being purine and second and third base being pyrimidines / total number of codons
= 8/64 = 1/8
Graph the equation by plotting points.x = |y| - 5
Answers
First, clear the x to make the conventional form:
\(x=\left|y\right|-5\)\(\left|y\right|-5=x\)\(\left|y\right|-5+5=x+5\)\(\left|y\right|=x+5\)Now graph like a normal equation but remember that an absolute value has the reflection of the equation by the x-axis.
So the answer is:
B.
A car is purchased for $23,000. Each year it loses 30% of its value. After how many years will the car be worth $6800 or
less?
Answers
Hey there!
A car is purchased for $23,000 . Each year it loses 30% of its value. After how many years will the car be worth $6700 or less? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.
Set up the depreciation equation D(t) where t is the number of years in the life of the car:
D(t) = 23,000/(1.3)^t
The problem asks for D(t)<=6800
23,000/(1.3)^t = 6800
Cross multiply:
7300(1.3)^t = 24,000
Divide each side by 6800
1.3^t = 23000/6800
1.3^t = 3.38
Take the natural log of both sides:
LN(1.3^t) = LN(3.38)
Using the natural log identities, we have:
t * LN(1.3) = 1.22
t * 0.2624 = 1.22
Divide each side by 0.2624
t = 4.6494
Rounding this up, we have t = 5
Answer:
it would be 7647
close enough though
Step-by-step explanation:
there are a total of 12 bicycles and tricycles at the park.together they have a tota of 29 wheels. how many are bicycles and how many are tricycles
Answers
Answer:
Therefore, there are 7 bicycles and 5 tricycles at the park.
Step-by-step explanation:
Let's assume the number of bicycles is represented by 'b' and the number of tricycles is represented by 't'.
Since there are a total of 12 bicycles and tricycles at the park, we have the equation:
b + t = 12 (Equation 1)
Now, let's consider the number of wheels. Each bicycle has 2 wheels, and each tricycle has 3 wheels. The total number of wheels is given as 29. We can express this as:
2b + 3t = 29 (Equation 2)
To solve these equations, we can use substitution or elimination method. Let's use the substitution method:
From Equation 1, we have b = 12 - t.
Substituting this value of 'b' into Equation 2, we get:
2(12 - t) + 3t = 29
Expanding and simplifying the equation:
24 - 2t + 3t = 29
t + 24 = 29
t = 29 - 24
t = 5
Now, substitute the value of 't' back into Equation 1 to find 'b':
b + 5 = 12
b = 12 - 5
b = 7
Therefore, there are 7 bicycles and 5 tricycles at the park.
41°
x=
(7x)°
5.) solve!!!
Answers
Answer: x = 7
Step-by-step explanation:
Sum of the interior angles of a triangle must equal 180.
41 + (7x) + 90 = 180
7x = 180 - 90 - 41
7x = 49
x = 49/7 = 7
One thing that many students think about when they register for classes at a university is how many textbooks they are going to have to buy for the class and how much the books are going to cost. To add to this, a lot of the students wonder if they are even going to use the books that they are required to buy. In fact, some students don’t buy books for their classes because they are convinced that they don’t really need them to achieve an acceptable grade.
This is exactly the line of thinking that textbook writers are afraid of—they want students to have to use their books to get good grades in their classes, and they want professors to think that students need their books so that they require them as part of their classes.
Even though textbooks have a definite value—they are available to students who use them when their professors are not—there is some debate on whether they are really needed as part of university classes.
Recently, a researcher conducted an experiment to address this question. In the experiment, the researcher compared two sections of his introductory statistics course, a course required for all liberal arts and sciences students. Students who were enrolled in the fall semester of the course were told that buying the textbook was optional, whereas students enrolled in the spring semester were told that buying the textbook was required. All 380 of the students (190 in the fall and 190 in the spring) completed the course, and they all took the final exam, which consisted of some calculations and several conceptual essay questions.
When the professor finished scoring the essays, he compared the final exam grades of both sections of the class. He found just what he thought he would—there were no differences in the scores on the exams between the section that thought the textbook was optional and the section that thought the textbook was required. The average grade for the fall semester was 84.3%, and for the spring semester it was 85.2%.
Based on this study, the researcher concluded that textbooks were not necessary or helpful for learning, since there were no differences in scores between the two sections.
No control or comparison group
No random assignment
Participant bias
Small sample size
Poor sample selection
Attrition or mortality
Experimenter bias
Confuse correlation with causality
DV is not reliable, precise or accurate
DV is not valid
DV is not objectively scored
Premature generalization of results
Answers
The study conducted by the researcher suffers from several limitations, including the absence of a control group, small sample size, participant bias, and experimenter bias. Furthermore, the sample selection is inadequate, as all the participants are students of one course in a single university.
Moreover, the study fails to account for extraneous variables that might affect the results. Therefore, that textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. T he study is flawed, and more research is needed to assess the effect of textbooks on learning.
The study conducted by the researcher suffers from several limitations. First, there is no control group, which makes it difficult to determine whether the results are due to the absence or presence of the textbook. Second, the sample size is small, which reduces the generalizability of the findings.
Third, there is participant bias, as some students might have bought the textbook even though it was optional, while others might not have bought it even though it was required. Fourth, there is experimenter bias, as the professor who scored the essays knew which section had the textbook and which did not.
Fifth, the sample selection is inadequate, as all the participants are students of one course in a single university. Moreover, the study fails to account for extraneous variables that might affect the results, such as the students' prior knowledge, motivation, and study habits.
Therefore, the textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. The study is flawed, and more research is needed to assess the effect of textbooks on learning.
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What is the standard form of the equation of the circle with the given center (-6,8) and radius r=10
Answers
Answer:
(x+6)^2 + (y-8)^2 = 10^2
or
(x+6)^2 + (y-8)^2 = 100
Step-by-step explanation:
Equation of a circle in standard form: (x-h)^2 + (y-k)^2 = r^2
(h,k) represent the center of the circle
h = -6
k = 8
r = the length of the radius
10^2 = 100
Can someone help me?
Answers
Answer:
152
Step-by-step explanation:
which number best represents the slope of the graphed line
Answers
Answer:
y=5x+2
Step-by-step explanation:
This would be the equation for this graph but the answer would be five. :)
Hope this helps!
Answer:
it is y=2+8
Step-by-step explanation:
10. Which expression is equivalent to
(7.9x + 2)(0.5x)?
A. 3.95x² + 1
B. 3.95x2 + X
C. 7.9x² + 1
D. 7.9x² + 0.5x
Answers
Answer:
a.3.95x^2+1
9999999999999999999999999
I need some help with the his please help out
Answers
Answer:
Sylvia is the tallest.
Step-by-step explanation:
Answer:
Maria
Step-by-step explanation:
Sylvia = 4*12 + 3 = 48 + 3 = 51 inches
Maria = 59 inches
59 > 51 inches
A company sells lab equipment. The daily revenue and costs are modeled by the functions below where x is the number of units sold.
Revenue: R(x) = -0.32x^2 + 270x
Costs: C(x) = 70x +52
Answers
The maximum profit is achieved when approximately 312.5 units of lab equipment are sold.
The revenue function R(x) represents the amount of money the company earns from selling x units of lab equipment. It is given by the equation:
R(x) = -0.32x^2 + 270x
The costs function C(x) represents the expenses incurred by the company for producing and selling x units of lab equipment. It is given by the equation:
C(x) = 70x + 52
To determine the company's profit, we subtract the costs from the revenue:
Profit = Revenue - Costs
P(x) = R(x) - C(x)
Substituting the given revenue and costs functions:
P(x) = (\(-0.32x^2 + 270x)\) - (70x + 52)
Simplifying the equation:
P(x) = -0.32x^2 + 270x - 70x - 52
P(x) = -\(0.32x^2\)+ 200x - 52
The profit function P(x) represents the amount of money the company makes from selling x units of lab equipment after deducting the costs. It is a quadratic function with a negative coefficient for the x^2 term, indicating a downward-opening parabola. The vertex of the parabola represents the maximum profit the company can achieve.
To find the maximum profit and the corresponding number of units sold, we can use the vertex formula:
x = -b / (2a)
For the profit function P(x) = -\(0.32x^2 + 200x\)- 52, a = -0.32 and b = 200.
x = -200 / (2 * -0.32)
x = 312.5
Therefore, the maximum profit is achieved when approximately 312.5 units of lab equipment are sold.
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#5
Question 5 6 p Find the equation of the line tangent to 2e"y = x + y at the point (2,0). Write the equation in slope-intercept form, y=mx+b.
Answers
The equation of the line tangent to the curve 2e^y = x + y at the point (2,0) is y = -x + 2.
To find the equation of the tangent line, we need to find the slope of the tangent line at the given point. First, we differentiate the equation 2e^y = x + y with respect to x using implicit differentiation.
Taking the derivative of both sides with respect to x, we get: 2e^y(dy/dx) = 1 + dy/dx.
Simplifying the equation, we have: dy/dx = (1 - 2e^y)/(2e^y - 1).
Now, substitute the coordinates of the given point (2,0) into the equation to find the slope of the tangent line: dy/dx = (1 - 2e⁰)/(2e⁰ - 1) = -1.
The slope of the tangent line is -1. Now, using the point-slope form of a line, we have: y - y1 = m(x - x1),
where (x1, y1) is the point (2,0) and m is the slope -1. Substituting the values, we get: y - 0 = -1(x - 2), which simplifies to: y = -x + 2. Thus, the equation of the tangent line in slope-intercept form is y = -x + 2.
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Heart failures are due to either natural occurrences (81%) or outside factors (19%). Outside factors are related to induced substances (73%) or foreign objects (27%). Natural occurrences are caused by arterial blockage (56%), disease (27%), and infection (e.g., staph infection) (17%).
Required:
a. Determine the probability that a failure is due to induced substance.
b. Determine the probability that a failure is due to disease or infection.
Answers
a. The probability that a failure is due to an induced substance is 0.013487 or 1.35% approximately.
b. Probability of a failure due to disease or infection= 44%.
a. Determine the probability that a failure is due to an induced substance.
The total percentage of heart failures that are caused by outside factors is 19%, of which 73% are due to induced substances.
Therefore, the probability that a failure is due to an induced substance = 73/100*19/100= 0.013487 or 1.35% approximately.
b. Determine the probability that a failure is due to disease or infection.
The total percentage of heart failures that are caused by natural occurrences is 81%, of which disease accounts for 27% and infection (e.g., staph infection) accounts for 17%.
Therefore, the probability that a failure is due to disease or infection = 27/100 + 17/100= 0.44 or 44% approximately.
Probability of a failure due to induced substance= 1.35% (approx.)Probability of a failure due to disease or infection= 44% (approx.)
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Solve for x: 4x - 8 = 7x - 2
Anyone know the answer for this one?
Thanks!
Answers
Answer:
\( \huge{ \fbox{ \tt{x = - 2}}}\)
Step-by-step explanation:
\( \underline{ \underline{ \mathfrak{Let's \: solve}}} : \)
\( \star{ \sf{ \: \: 4x - 8 = 7x - 2}}\)
\( \text{Step \: 1} : \sf{Move \: 7x \: to \: left \: hand \: side \: and \: change \: its \: sign}\)
\( \mapsto{ \sf{4x - 7x - 8 = - 2}}\)
\( \text{Step \: 2} : \sf{Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}\)
\( \mapsto{ \sf{4x - 7x = - 2 + 8}}\)
\( \text{Step \: 3} : \sf{Collect \: like \: terms}\)
\( \sf{Like \: terms \: are \: those \: which \: have \: same \: base}\)
\( \mapsto{ \sf{ - 3x = - 2 + 8}}\)
\( \text{Step \: 4} : \sf{Calculate}\)
\( \underline{ \text{Remember!}} : \sf{The \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}\)
\( \mapsto{ \sf{ - 3x = 6}}\)
\( \text{Step \: 4} : \sf{Divide \: both \: sides \: by \: - 3}\)
\( \mapsto{ \sf{ \frac{ - 3x}{ - 3} = \frac{6}{ - 3}}} \)
\( \text{ Step \: 4} : \sf{Calculate}\)
\( \mapsto{ \sf{x = - 2}}\)
Hope I helped!
Best regards! :D
~\( \sf{TheAnimeGirl}\)
when two balanced dice are rolled, there are 36 possible outcomes. find the probability that either doubles are rolled or the sum of the dice is 6.
Answers
The probability that either doubles are rolled or the sum of the dice is 10 is 2/9.
What is probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of
Total possible outcomes= 36
Probability that either doubles are rolled or the sum of the dice is 10
= 6 (doubles) + 2 (sum is 10, without double (5,5))
=8
P( either doubles are rolled or the sum of the dice is 10)= 8/36
= 2/9
Thus, probability that either doubles are rolled or the sum of the dice is 10 is 2/9.
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Find the length and width of a rectangle whose perimeter is 32 feet and whose area is 60 square feet. find the length of the longer and the width of the shorter side.
Answers
Answer:
length: 10 ftwidth: 6 ftStep-by-step explanation:
You want the dimensions of a rectangle with an area of 60 square feet and a perimeter of 32 feet.
Side lengthsThe perimeter is twice the sum of the length and width, so that sum is ...
32 ft/2 = 16 ft
FactorsThe area is the product of the length and width, so we are looking for factors of 60 that have a sum of 16:
60 = 60·1 = 30·2 = 20·3 = 15·4 = 12·5 = 10·6
The sums of these factor pairs are 61, 32, 23, 19, 17, 16, so the factor pair of interest is 10 and 6.
The length and width of the rectangle are 10 ft and 6 ft, respectively.
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what does 7 of one third + 2 and two thirds =
Answers
If x and y vary directly and y is 44 when x is 11, find y when x is 9.
Answers
The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, x and y vary directly and y is 44 when x is 11.
Let, y ∝ x.
y = kx.
44 = 11k.
k = 44/11.
k = 4.
Now x = 9.
y = 4×9.
y = 36.
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Use the graph below to answer the following question: graph of parabola going through 1, negative 3, and 3, 1 What is the average rate of change from x = 1 to x = 3?
Answers
Answer:
i think your answer is 4
Step-by-step explanation:
please mark brainlyiest
Find the angle measures for each angle.
Answers
Based on angle relationship, the measures for each angle are:
m∠1 = 103°; m∠4 = 103°; m∠7 = 103°; m∠5 = 77°; m∠6 = 77°; m∠3 = 77°; m∠2 = 77°.
How to Find Angle Measures?The relationship between angles that are formed by two paralleled lines and a transversal can be used to determine the measures of each of the angles.
Using angles relationship, we have:
Angle 1 = 103° [corresponding angles are equal]
Angle 4 = 103° [alternate interior angles are equal]
Angle 7 = 103° [vertical angles are equal]
Angle 5 = 180 - 103 = 77° [supplementary angles]
Angle 6 = angle 5 = 77° [vertical angles are equal]
Angle 3 = angle 5 = 77° [alternate interior angles are equal]
Angle 2 = angle 5 = 77° [corresponding angles are equal]
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(9x+6)° and (6x+9)°
What is the answer
Answers
Answer:
15x+15 ?
Step-by-step explanation: