The present ages of Korir, his daughter and his son is 48, 12 and 8 years respectively.
Solving Word ProblemLet us represent the present ages as:
K = Korir
d = daughter of Korir
s = son of Korir
From the first statement in the problem, we can deduce the following:
Korir's age is 4 times his daughter's age: K = 4d
Korir's age is 6 times his son's age: K = 6s
We can use these two equations to solve for K in terms of both d and s:
K = 4d = 6s
4d = 6s
d = 3/2s
Next, we use the second statement in the problem to form another equation:
In 12 years, the sum of the ages of his daughter and son will differ from his age by 9 years.
(d + 12) + (s + 12) = K + 9
Substitute the equation K = 4d into this equation to get:
(d + 12) + (s + 12) = 4d + 9
d + s + 33 = 4d + 9
3d - s = 24
Substitute the equation d = 3/2s into this equation to get:
3(3/2s) - s = 24
9/2s - s = 24
s = 8
Finally, we can use the equation d = 3/2s to solve for d:
d = 3/2s = 3/2(8) = 12
For Korir,
K = 4d = 4(12) = 48
Therefore, Korir is 48 years old, daughter is 12 years old and his son is 8 years old.
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pls, help (20 points) All of the following equations have the same solution except _____.
All of the aforementioned equations have the same solution except: C. y/3 - 5 = -5.
What is zero solution?In Mathematics, an equation is said to have zero solution or no solution when the left hand side and right hand side of the equation are not the same or equal when simplified.
This ultimately implies that, an equation would have zero solution or no solution when both sides of the equal sign are not the same and the variables cancel out when simplified.
How to determine the solution to this equation?From the information provided, we have the following equation:
y/-1 - 6 = -5
Adding 6 to both sides of the equation, we have:
y/-1 - 6 + 6 = -5 + 6
y/-1 = -1
Multiplying both sides of the equation, we have:
-1 × (y/-1) = 1 × -1
y = -1.
-y + 4 = 5
Rearranging the equation by collecting like terms, we have:
y = 4 -5
y = -1
y/3 - 5 = -5
Adding 5 to both sides of the equation, we have:
y/3 - 5 + 5 = -5 + 5
y/3 = 0
y = 0 (different solution).
2y - 5 = -7
Adding 5 to both sides of the equation, we have:
2y - 5 + 5 = -7 + 5
2y = -2
Dividing both sides of the equation by 2, we have:
y = -2/2
y = -1.
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simplify
Q1) 4a + 7b +5a - b
Q2) 9s - 5s + 2s - s
Q3) 8t + 3r - 7t - 9r
among cbc students, 50% of students are enrolled in less than three courses and 33% of students are taking a math class. if 71% of students are either enrolled in less than three courses or taking a math course, what percentage of students are enrolled in less than three courses and taking a math course? group of answer choices 38% 35.5% 17% 83% 12%
12% of students are enrolled in less than three courses and taking a math course
For given question,
50% of students are enrolled in less than three courses and 33% of students are taking a math class.
The probability that the students are enrolled in less than three courses is 0.5
P(A) = 0.5
The probability that the students are taking a math class is 0.33
P(B) = 0.33
if 71% of students are either enrolled in less than three courses or taking a math course.
P(A ∪ B) = 0.71
We need to find the percentage of students that are enrolled in less than three courses and taking a math course.
i.e., we need to find P(A ∩ B)
We know that, P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∩ B) = 0.5 + 0.33 - 0.71
P(A ∩ B) = 0.12
So, 12% of students are enrolled in less than three courses and taking a math course.
Therefore, 12% of students are enrolled in less than three courses and taking a math course.
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1. which factor most directly affects the amount of
money borrowers must repay to lenders?
a.the currency exchange rate
b. the unemployment rate
c. the inflation rate
d. the annual percentage rate
The factor that most directly affects the amount of money borrowers must repay to lenders is d) the annual percentage rate.
This rate represents the cost of borrowing money and includes interest and other fees. The higher the APR, the more money borrowers will have to repay over time. The currency exchange rate, unemployment rate, and inflation rate can indirectly affect borrowing costs but are not as directly linked as the APR. The factor that most directly affects the amount of money borrowers must repay to lenders is d. the annual percentage rate (APR). The APR represents the total cost of borrowing, including interest and any additional fees, expressed as a percentage. A higher APR means a higher cost for borrowers, making it an essential factor to consider when repaying loans.
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What’s the answer? To this
A
B
C
D
d
the answer is d
Step-by-step explanation:
the answer is d
Bob's car cost $2.99 per pound. how much will 3.4 pounds cost?
Answer:
10.166
Step-by-step explanation:
2.99 x 3.4 = 10.166
Hope this helps, have a great day!
If f(x) = -2x + 3 and g(x) = 4x - 3, which is greater, f(5) or g(-2)?
Which expression is NOT equivalent to 100+20100+20?
A).5(20+4)5(20+4)
B).2(98+10)2(98+10)
C).10(10+2)10(10+2)
D).2(50+10)2(50+10)
Answer:
A) . 5(20+4)5(20+4)
Step-by-step explanation:
5(20+4)5(20+4)
5(24) ×5(24)
120 × 120
14400
a sphere of radius r carries a total charge q distributed over its surface. A small area dA of the sphere is cut off. Find the electric field at the centre due to the remaining sphere.
Answer:
Step-by-step explanation:
I WILL MARK BRAINIEST
PLEASE HELP ASAP ANSWER QUESTION 22
Answer:
blank 1: x-6
blank 2: y+12
blank 3: translation
Step-by-step explanation:
Answer:
it is kinda confusing but i think the answer might be (6,12)
Step-by-step explanation:
Please help! Show your work, I don't understand!
Solve by first square rooting each side of the equation.
(2x + 2)2 = 36
{2, –4}
{2, –4}
{–3, 2}
{–3, 2}
{3, –2}
{3, –2}
{4, –2}
Answer:
x = -4, 2
Step-by-step explanation:
(2x + 2)² = 36
Remember that the square root of 36 has a positive and a negative root.
(2x + 2) = ±6
2x + 2 = -6 2x + 2 = 6
2x = -8 2x = 4
x = -4 x = 2
Therefore, the solution(s) of the equation are x = -4, 2
Help this is timed!!!
Answer:
C. (4,2)
Step-by-step explanation:
The point where the lines intersect is (4, 2)
Answer:
IT IS 2,4!!!!!!!!!1
Step-by-step explanation:
FACTOR THIS EXPRESSION -385y LOOK AT THE SCREENSHOT THANKS AND BRAINLIST IF CORRECT PLEASE HELP
Answer:
-1*5*7*11*y
Step-by-step explanation:
This is the prime factorization of 385y times -1.
Rn help help help help
Answer:
A regular (equilateral) triangle
Step-by-step explanation:
A triangle is regular if all their side are the same, which is the case here.
Find the value of x that makes FGH~JKL
Answer:
Required Answer:-\({:}\dashrightarrow \)\(\sf x-4=20\)
interchange both sides\({:}\dashrightarrow \)\(\sf x=20+4 \)
\({:}\dashrightarrow \)\(\sf x=24\)
The value of x is 30 if the triangles FGH and JKL are similar after using the property of the similarity triangles.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
The triangle FGH and JKL are shown in the picture.
(x + 35)/20 = (x - 4)/8
Cross multiplication:
8(x + 35) = 20(x - 4)
8x + 280 = 20x - 80
20x - 8x = 280 + 80
12x = 360
x = 360/12
x = 30
Thus, the value of x is 30 if the triangles FGH and JKL are similar after using the property of the similarity triangles.
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Which expression is the result of subtracting (Z2-3i)
from (Z1 + 2)?
A
B
C
D
Answer:
C
Step-by-step explanation:
Got it right on Edge
The expression which is the result of subtracting the complex number (Z2-3i) from another complex number (Z1 + 2) is 9-2i.
How to calculate complex number from graph?To find the value of a complex number from the graph, follow the steps below.
On the graph where x-axis represents the real line, the distance of the point give the real number.On the graph where y-axis represents the imaginary line, the distance of the point give the imaginary number, which is written with complex number i.The point Z1 is 3 units right and 4 units down from the origin point. Thus, the complex number which represent it is,
\(Z_1=3-4i\)
The point Z2 is 4 units left and 1 units up from the origin point. Thus, the complex number which represent it is,
\(Z_2=-4+1i\)
The expression which is the result of subtracting (Z2-3i) from (Z1 + 2) is,
\((Z_1 + 2)-(Z_2-3i)\\(3-4i + 2)-(-4+i-3i)\\3-4i + 2+4-i+3i\\9-2i\)
Hence, the expression which is the result of subtracting the complex number (Z2-3i) from another complex number (Z1 + 2) is 9-2i.
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What is the value of x in AABC?
A. 26
B. 29
C. 32
D. 36
Answer:
x = 29
Step-by-step explanation:
64°+y°+y° = 180°
64+2y = 180
2y = 116
y = 58
(180°-58°)+2x° = 180
122+2x = 180
2x = 58
x = 29
Let a be a non-zero rational number and be an irrational number. Is a/b rational or irrational?
Answer: Irrational, assuming b is irrational
Step-by-step explanation:
You didnt state what "b" is, but:
Youre dividing "a" by an irrational number. you could do something simple like 4 divided by pi. Youre going to get an irrational number
Descriptive and inferential statistics work cooperatively, and which one you use and when depends on ______.
Descriptive and inferential statistics are two branches of statistics that work together to analyze and interpret data. The choice of which type to use depends on specific factors and objectives of the research or analysis being conducted.
Descriptive statistics involve summarizing and presenting data in a meaningful way. They include measures such as central tendency (mean, median, mode), dispersion (standard deviation, range), and graphical representations (histograms, box plots) to describe the characteristics of a dataset. Descriptive statistics provide a clear and concise summary of the data, enabling researchers to understand its distribution and key features.
On the other hand, inferential statistics involve drawing conclusions or making inferences about a population based on a sample. Inferential statistics use probability theory to make estimations, test hypotheses, and assess relationships between variables. They involve techniques such as hypothesis testing, confidence intervals, and regression analysis. Inferential statistics help researchers make generalizations or predictions about a larger population beyond the observed sample.
The choice between descriptive and inferential statistics depends on the research question, objectives, available data, and the level of understanding sought. Descriptive statistics are used to summarize and describe data, while inferential statistics are employed to make broader inferences and draw conclusions about populations. Both types of statistics are valuable and are utilized depending on the specific analysis goals and research context.
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There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit
Answer:
D
Step-by-step explanation:1x1x1=1
Write a rule for the linear function in the table.
A.
f(x) = –x + 1
B.
f(x) = x – 1
C.
f(x) = x
D.
ƒ(x) = –x
Answer:
i keep getting different stuff
Step-by-step explanation:
4 x − 5 + y = 0
x + 6 y = 5
6 x − 3 y =12
3 x + y = 16
6 x − 3 y = 12
3 x + 4 y = − 5
flor ha colocado ¹1/4 kg de papa sobre una balanza . si un cliente le quiere comprar 2 kg de papa , ¿cuantos kilogramos (kg) de papa debe agregar flor sobre l balanza para cumplir con el pedido?
a)3/4 kg de papa
b)¹ 3/4 kg de papa
c1/4 kg de papa
d)¹ 1/4
RAPIDO POR FAVOR E UN EXAMEN SALVEMME LA VIDA
Answer:
a). 3/4 kg de papa
Step-by-step explanation:
Given that,
Patata colocada en balanza = 1 1/4 Kg
Flor de papa total quiere = 2 kg
Encontrar,
Se agregará más peso en la báscula para que sea de 2 kg =?
Procedimiento:
Peso requerido para ser colocado = Peso total - peso colocado
= 2 - \(1\frac{1}{4}\)
= 2 - 5/4
= (8 - 5)/4
= 3/4 kg
Each lap around a park is 0.58 miles. Jessica walked 3.25 laps around the park. How many miles did Jessica walk around the park?
A.) 1.741 miles
B.) 1.865 miles
C.) 1.885 miles
D.) 1.785 miles
A 5-kilogram bag of cement costs $18.15. What is the unit price?
Answer:3.63
Step-by-step explanation:because if we divide 18.15 by 5 is equal 3.63.
what is 3 +3 divded by 4
Answer:3/2
Step-by-step explanation: 3+3/4
6/4=3/2
Answer:
1.5
Step-by-step explanation:
3+3=6
6/4 =1.5
compute 4.659×104−2.14×104 . round the answer appropriately.
The result of subtracting 2.14×10^4 from 4.659×10^4 is 2.519×10^4, rounded appropriately.
To compute 4.659×10^4 - 2.14×10^4, we can subtract the two numbers as follows:
4.659×10^4
2.14×10^4
To subtract these numbers, we need to ensure that the exponents are the same. In this case, both numbers have the same exponent of 10^4.
Next, we subtract the coefficients:
4.659 - 2.14 = 2.519
Finally, we keep the exponent of 10^4:
2.519×10^4
Rounding the answer appropriately means rounding the coefficient to the appropriate number of significant figures. Since both numbers provided have four significant figures, we round the result to four significant figures as well.
The fourth significant figure in 2.519 is 9. To determine the appropriate rounding, we look at the next digit after the fourth significant figure, which is 1. Since it is less than 5, we round down the fourth significant figure to 9.
Therefore, the final result, rounded appropriately, is:
2.519×10^4
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The point-slope form of a line that has a slope of , and passes through the point (3, 0) is shown.
y-0 =3(2-3)
What is the equation in slope-intercept form?
Answer:
y= -3Step-by-step explanation:
\(y-0 =3(2-3)\)
Expand ; 3(2-3) = 6-9
\(y-0=6-9\\\\Simplify\\\\y-0=-3\\y =-3+0\\\\y =-3\)
did the percentage of the aging population (55 years or older) in state prisons passed the percentage of people aged 18-24 for the first time in 2016. true or false
True. In 2016, the percentage of the ageing population (55 years or older) in state prisons surpassed the percentage of people aged 18-24 for the first time.
This trend reflects the overall growth of the ageing population within the United States and is a result of various factors such as longer life expectancy, harsher sentencing laws, and an increase in older individuals being convicted of crimes.
As the ageing population in state prisons continues to grow, it poses several challenges for the correctional system. These challenges include providing appropriate healthcare and accommodations for older inmates and addressing the specific needs of this population, such as mobility assistance and specialized medical care.
In conclusion, the shift in the age demographics of state prisons has significant implications for the management and administration of correctional facilities. It is crucial to address the unique needs of the ageing population within these institutions and adapt policies and practices accordingly to ensure the well-being and fair treatment of all inmates, regardless of their age.
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Name each level of measurement for which data can be qualitative.
Select all the levels of measurement for which data can be qualitative.
A. Nominal Your answer is correct.
B. Ratio
C. Interval
D. Ordinal
Answer:
qualitative and ordinal.
Step-by-step explanation:
They are both two types of qualitative data under Categorical data.
Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.
What is level of measurement?A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.
This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.
Therefore, the correct option is option A, D.
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The following represents age distribution of students in an elementary class. Find the mode of the values: 7, 9, 10, 13,
11, 7, 9, 19, 12, 11, 9, 7, 9, 10, 11.