Answer:
53:36
Step-by-step explanation:
53:36
265:180
The ratio of time Dhanu spent playing with model railway to the time riding bicycle is 53 : 35.
What is the ratio of the time spent playing with model railway to the time riding bicycle ?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
Time spent playing with the model railway = 4 hours 25 minutes.
Converting the time to minutes = (4 x 60) + 25 = 265 minutes
Time in minutes spent riding a bicycle = 60 x 3 = 180
Ratio of the minutes - 265 : 180
53 : 35
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find k so that x-1 is a factor of x^3 - 3x^2 + kx - 1
Answer:
[tex]{ \bf {factor : { \tt{x - 1}}}} \\ x - 1 = 0 \\ x = 1 \\ { \tt{f(x) = {x}^{3} - {3x}^{2} + kx - 1}} \\ { \tt{f(1) : {(1)}^{3} - 3 {(1)}^{2} + k(1) - 1 = 0}} \\ { \tt{k - 3 = 0}} \\ { \tt{k = 3}}[/tex]
Answer:
k = 3
Step-by-step explanation:
If x-1 is a factor of x³ - 3x² + kx - 1 then value of x is 1.
f (x ) = x³ - 3x² + Kx - 1 , then
plug 1 as x in the expression.
f ( 1) = ( 1)³ - 3 ( 1)² + k (1) - 1 = 0expand exponents
1 - 3 + k - 1 = 0combine like terms
-3 + k = 0Add 3 to both side
k = 3x^3+5x^2+3x+15 factor the polynomial
Answer:
(x+5) (x^2+5)
Step-by-step explanation:
x^3+5x^2+3x+15
Using factoring by grouping
x^3+5x^2 +3x+15
x^2(x+5) + 3(x+5)
Factor out (x+5)
(x+5) (x^2+5)
Answer:
( x + 5 ) (x² + 3)
Step-by-step explanation:
x³ + 5x² + 3x + 15
factor out x²
x² ( x + 5 ) + 3x + 15
factor out 3
x² ( x + 5 ) + 3 ( x + 5 )
factor out x + 5 from the expression
( x + 5 ) (x² + 3)
If (2x - 3) is a factor of mx^2 - 11x - 6, find the other factor.
Answer:
(2x - 3) ^2 - 11x - 6
Step-by-step explanation:
John had $20. He earned $5, spent $10, earned $5 again, and then spent $3. After this series of earings and expenses, how much money did he owe or have left?
Answer:
It might be $17 for how much he has left.
Step-by-step explanation:
$20+$5-$10+5-$3=$17
what is the value of x? no links.
Answer:
X= 115 is the answer
because it is corresponding angel they are equal
Answer:
X = 115 since the x and the other angle looks like they correspond to each other
Step-by-step explanation:
algebra 1 solve − 0.32 + 0.18 = 0.25 − 1.95
Answer:
Step-by-step explanation:
Add 0.32 and 0.18 to get 0.5.
0.5=0.25 - 1.95
subtract 1.95 from 0.25 to get —1.7.
0.5=—1.7
compare 0.5 and —1.7.
flase
Estimate the answers to the following calculations by carrying out order of magnitude calculations.
a) 0.26 x 890
b) [tex]\frac{1.95}{0.0067}[/tex]
c) 2010 x [tex]10^{-5}[/tex]
d) [tex]\frac{9.98 x 10^{-4} }{9 x 10^{2} }[/tex]
9514 1404 393
Answer:
a) 230
b) 300
c) 2×10^-2
d) 1.1×10^-6
Step-by-step explanation:
a) 0.26 × 890 ≈ 1/4 × 900 ≈ 225 ≈ 230
b) 1.95/(.67×10^-2) ≈ 2/(2/3)×10^2 ≈ 300
c) 2010×10^-5 ≈ 2×10^3×10^-5 = 2×10^-2
d) 9.98×10^-4/(9×10^2) = 9.98/9×10^(-4-2) ≈ 1.1×10^-6
__
YMMV depending on how you do the rounding and approximate multiplication and division.
The first one can be done multiple ways. For most accurate results, increasing one number while decreasing the other is recommended. (You don't want to compute 0.3×900, for example.)
In a large crowd, there are three times as
many men as women. Three people are
chosen at random. Assuming that there are
so many people that choosing three has a
negligible effect on the proportion of men to
women, find the probability that they are
a.all men
b.2 women and 1 man.
Answer:
A. All men
Explanation
The probability of all men = 0.4219 while the probability of 2 women and 1 man = 0.14
How to solve for the probability of menThe question says we have three times as much men as women
The probability it is a man that was chosen = 3/4
The probability of choosing a woman = 1/4
a. The probability that the chosen persons are all men = (3/4)³
= 0.4219
b. The probability of 2 women and 1 man
3 * 0.75 *0.25²
= 0.14
Hence the probabilities are a. 0.4219 and b. 0.14
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The graph plots four equations, A, b,c,and d
Which pair of equations has (0.8) as its solution?
Equation A and Equation C
Equation B and Equation
Equation C and Equation D
Equation B and Equation D
Answer:
equation A and equation c
Answer:
Equation A and Equation C
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle.
8
9
Square units
Reset
Next
Answer:
36 spuare units
Step-by-step explanation:
A= 1/2 b*h
b=8
h=9
A=1/2(8*9)
A=1/2(72)
A=36
What's the perpindicular line of y+5=4(x+12)
Please help me solve this problem I’m really struggling
Answer:
x × 3 + 5[tex]x^{2}[/tex] - x- 5
reorder the terms
3x + 5[tex]x^{2}[/tex] - x - 5
collect like terms
2x + 5[tex]x^{2}[/tex] - 5
reorder the terms
Solution
5[tex]x^{2}[/tex] + 2x -5
Answer:
[tex] {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)(x - 1) \\ \\ (x + 5)( {x}^{2} - {1}^{2} ) \\ (x + 5)(x - 1)(x + 1) \\ [/tex]
Oof, someone please help asap! I don't recall ever seeing this type of question before!
Answer:
90
Step-by-step explanation:
You are looking for the highest common factor for 270 and 360.
Factor the 2 numbers
270 = 2 * 5 * 3 * 3 * 3
360 = 2 * 2 * 2 * 3 * 3 * 5
Each of the numbers has a 5
Each of the numbers has two threes
Each of the numbers has one 2
So the answer is 2 * 3*3 * 5
A casserole is removed from a 375oF oven and cools to 190oF after 25 minutes in a room at 68oF. How long (from the time it is a removed from the oven) will it take the casserole to cool to 105oF
Answer:
57.3 minutes
Step-by-step explanation:
We know that the temperature as a function of time of an object is described by the equation:
[tex]T(t) = T_a + (T_0 - Ta)*e^{-k*t}[/tex]
Where:
k is a constant
Tₐ = room temperature = 68°F
T₀ = initial temperature of the object = 375°F
Replacing these in our equation we will get
T(t) = 68°F + (375°F - 68°F)*e^{-k*t} = 68°F + (307°F)*e^{-k*t}
And we know that after 25 minutes, at t = 25min, the temperature of the casserole is 190°F
then:
T(25min) = 190°F = 68°F + (307°F)*e^{-k*25 min}
Now we can solve this for k:
190°F = 68°F + (307°F)*e^{-k*25 min}
190°F - 68°F = (307°F)*e^{-k*25 min}
(122°F)/(307°F) = e^{-k*25 min}
Now we can apply the natural logarithm in both sides:
Ln( 122/307) = Ln(e^{-k*25 min}) = -k*25min
Ln( 122/307)/(-25 min) = k = 0.0369 min^-1
Then the temperature equation is:
T(t) = 68°F + (307°F)*e^{-0.0369 min^-1*t}
Now we want to find the value of t such that:
T(t) = 105°F = 68°F + (307°F)*e^{-0.0369 min^-1*t}
We can solve this in the same way:
105°F - 68°F = (307°F)*e^{-0.0369 min^-1*t}
37°F = (307°F)*e^{-0.0369 min^-1*t}
(37°F)/(307°F) = e^{-0.0369 min^-1*t}
Ln( 37/307) = -0.0369 min^-1*t
Ln( 37/307)/( -0.0369 min^-1 ) = 57.3 min
So after 57.3 minutes, the temperature of the casserrole will be 105°F
In a college of 400 students, 45% are girls. Of the boys, 30% are football
players. How many boys are football players?
Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)
Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
Given the net of the rectangular prism, what is its surface area?
Answer:
D. 160
Step-by-step explanation:
-2, 1, 7, n, 43, ...
What is n?
Answer:
n=19
Step-by-step explanation:
-2+3=1
1+6=7
7+12=19
19+24=43
you are constantly doubling second number, starting with 3
Answer:
Step-by-step explanation:
A certain polygon has its vertices at the following points: (1, 1), (1, 8), (8, 1), and (8, 8)
Answer:
Can u explain more pls?
Step-by-step explanation:
Answer:
Square
Step-by-step explanation:
Find the length of JD
A. 23
B. 19
C. 46
D. 30
The length of JD is 19
What is length of a line?The distance between two ends of a line segment can be used to calculate its length. It is the path that connects the two points and has a known length.
Given
JD = JP-DP = 57-38 =19
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which graph is that one of the inequality shown below?
Answer:
D
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!
Describe the graph of a function g by observing the graph of the base function ƒ.
g(x) = ƒ(x + 5) + 3
g(x) = ƒ(x + 3) + 5
g(x) = 2ƒ(x + 3)
g(x) = ƒ(x – 3) – 5
Answer:
g(x)=f(x+3)+5
Step-by-step explanation:
2.1 One Step Equations
1) 4p = 68
2)x - 1 = -9
3) -25 = K - 17
4) 20n = 300 5) -17 + x = -196) 10b = -10
7)r - 11 = -27 8) -11n = -55
9) -120 = -8x
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
I
common factors of 8xy⁴,6x²y,10x²y²
Answer:
[tex]2^{3}[/tex]×5×3×[tex]x^{2}[/tex]×[tex]y^{4}[/tex]
Step-by-step explanation:
[tex]8xy^{4}[/tex]= [tex]2^{3}[/tex]×[tex]x[/tex]×[tex]y^{4}[/tex]
6[tex]x^{2} y[/tex]= 2×3×[tex]x^{2}[/tex]×[tex]y^{}[/tex]
10[tex]x^{2} y^{2}[/tex] = 2×5×[tex]x^{2}[/tex]×[tex]y^{2}[/tex]
[tex]2^{3}[/tex]×5×3×[tex]x^{2}[/tex]×[tex]y^{4}[/tex]
A man is 40 years old and his son is 5years old. In how many years will the father be 3 times the age of his son.
12 1/2 years
Step-by-step explanation:
Let the unknown be n. Then 40+n = 3(5+n).
Performing the multiplication:
40+n = 15+3n
Isolate n and combine the constant terms:
25=2n, so n= 25/2 years
Come get your 11 points :)
OperumONS UNTUI a) Find the greatest number that divides 36, 45 and 63 without leaving a remainder. b) c) Find the greatest number by which 90, 120 and 150 are exactly divisible. Three drums contain 501, 60 l and 70 l of oil. Find the greatest capacity of a bucket which can empty out each drum with the exact number of fillings. Three bags contain 80 kg of wheat flour, 120 kg of corn flour and 160 kg of rice. What is the greatest number of people to whom these items can be distributed equally? What is the share of each item among them? d) e) Find the greatest number of children to whom 48 oranges, 80 bananas and 144 apples can be divided equally. Also find the shares of each fruit among them. 22 There are 120 mangoes in a basket and 168 mangoes in another basket. Find the greatest number of mangoes which are to be taken out at a time from each basket so that both of them will be emptied simultaneously. A rectangular floor is 12 m long and 10 m broad. If it is to be paved with squared marbles of the same size, find the greatest length of each squared marble.
Answer:
a) The greatest number that divides 36, 45, and 63 without leaving a remainder is 9
b) The greatest number which exactly divides 90, 120, and 150 is 30
c) The greatest capacity of the bucket is 10 liters
d) The greatest number of people to whom the items can be distributed equally is 40 people
ii) 2 kg of wheat flour, 3 kg of corn and 4 kg of rice
e) The greatest number of children to whom the 48 orange, 80 bananas, and 144 apples can be distributed equally is 16
ii) 3 oranges, 5 bananas and 9 apples each
f) 5 mangoes at a time from the basket containing 120 mangoes
7 mangoes at a time from the basket containing 168 mangoes
g) The greatest length of each squared marble is 2 m
Step-by-step explanation:
a) The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63, which is given as follows;
36 = 9 × 4
45 = 9 × 5
63 = 9 × 7
Therefore, The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63 = 9
b) 90 = 30 × 3
120 = 30 × 4
150 = 30 × 5
The greatest number which exactly divides 90, 120, and 150 is 30
c) The factors of the volumes are;
50 l = 10 × 5 l
60 l = 10 × 6 l
70 l = 10 × 7 l
Therefore, the greatest capacity of the bucket = 10 liters
d) The masses of the items are
The factors of 80 = 40 × 2
120 = 40 × 3
160 = 40 × 4
Therefore the items can be distributed equally to 40 people
ii) Each person gets 2 kg of wheat flour, 3 kg of corn and 4 kg of rice
e) 48 = 16 × 3
80 = 16 × 5
144 = 16 × 9
Therefore, the greatest number of children = 16
ii) Each child gets 3 oranges, 5 bananas and 9 apples
f) The factors of 120 = 24 × 5
168 = 24 × 7
Therefore;
The greatest number of mangoes which is to be taken out of the basket with 120 mangoes = 5 mangoes each (24 times)
The greatest number of mangoes which is to be taken out of the basket with 168 mangoes = 7 mangoes each (24 times)
g) The area of the floor = 12 m × 10 m = 120 m²
The factor of 120 m² which is a perfect square is 4 therefore, we have;
The side length of each squared marble, s = √4 = 2
The side length of each squared marble, s = 2 m
What value of n makes the statement true?
6xn· 4x2 = 24x6
Answer:
4
Step-by-step explanation: This one is easy if you have 6 groups of ones then times it by 4 and you will get 24.
Answer:
N= 4
C=5
T=22
K=1
Step-by-step explanation:
Edge 2021
Solve.
2a + 4 > 12
{a | a > 2}
{a | a > 4}
{a | a > 8}
{a | a > 10}
Hi there!
»»————- ★ ————-««
I believe your answer is:
{a | a > 4}
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\2a + 4 > 12\\-------------\\\rightarrow 2a + 4 - 4 > 12 - 4\\\\\rightarrow 2a > 8\\\\\rightarrow \frac{2a>8}{2}\\\\\rightarrow \boxed{a > 4}\\\\-------------\\\text{This can also be written as: } \boxed{ [a | a > 4] }[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer: {a | a >4}
Step-by-step explanation:
Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the points C(0,7) and D(4,15)?
Find the slope at AB
Answer:
Slope of AB = 2
Slope of CD = 2
equal slopes means the lines are parallel
Step-by-step explanation:
Use slope formula
m = [tex]\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}[/tex]
line AB = [tex]\frac{(5-1)}{(2-0)}[/tex] = [tex]\frac{4}{2}[/tex] = 2
line CD - [tex]\frac{(15-7)}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2