The number of laps per minute is given by equation A = 2/3 laps per minute
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the number of laps per minute be represented as A
Now , the value of A is
The total number of laps = 10 laps
The total time for 10 laps = 15 minutes
So , the number of laps per minute = number of laps / total time for 10 laps
On simplifying the equation , we get
The number of laps per minute A = 10 / 15
The number of laps per minute A = 2/3 laps per minute
Hence , the number of laps per minute is ( 2/3 ) laps
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Can someone please urgently help me with this
Answer:
£ 268.2
Step-by-step explanation:
495(1/3)+124(0.5)+(495(2/3)-124)(0.2)=165+62+41.2
=268.2
Answer: £268.20
Step-by-step explanation:
1/3 of 495 is 165.
124 x .50 = 62.
165 + 124 = 289
495 - 289 = 206
206 x .20 = 41.20
165 + 62 + 41.20 = 268.20
Factorise fully c^3+c^2
Miles Traveled
225
175
Miles
125
75
25
X
0 1 2 3 4 5 6 7 8 9 10
Hours
what is the remainder when 849,400 is divided by 216
Answer:
The remainder is 88
Step-by-step explanation:
The Remainder of a Division
We have to find the remainder when we divide 849,400 by 216.
It could be found by doing the long division, but we'll do it with a calculator.
Entering the division in the calculator we get:
849,400/216=3,932.4074...
We take the whole part of the quotient (3,932) and multiply it by the divisor:
3,932*216=849,312
The remainder is obtained by subtracting 849,400-849,312=88
The remainder is 88
16. Using a standard 52 card deck, what is the probability of pulling the king of hearts if you are
given two attempts (you will pull out one card and then another card)?
Answer:
Step-by-step explanation:
The way to do this (I think) is to figure out the probability of not getting said king on either throw.
First Throw: P(no King Hearts) = 51/52
Second Throw: P(no King Hearts) = 50/51
Total probability = 51/52*50/51 = 50/52
Therefore the probability of getting it right is
P(KH) = 1 - 50/52 = 2/52 = 1/26
I have a feeling that this is not correct. If you get a different answer that looks reasonable, take it.
Lily and violet live 30 miles apart on a trail. They both start running towards each other with a plan to meet. Lily is moving at 4 miles per hour while violet runs 6 miles per hour. How long does it take for them to meet?
Answer:
3 hours
Step-by-step explanation:
what is 2/10 as a decimal number
Answer:
0.2 is the answer .
Hope it helps..
PLZ HELP WILL GIVE BRAINLEST
Answer:
The first one (Cedric is correct because he used the inverse of subtraction and added 4.5)
Step-by-step explanation:
First....I'll do it my way
z - 4.5 = -1.5
Add 4.5 on both sides
z - 4.5 + 4.5 = -1.5 + 4.5
z = 3
This should be our answer.....and so who did it right?
Cedric did
Which is the true statement?
Cedric is correct because he used the inverse of subtraction and added 4.5
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Marshall has 3 bags in each of his 2 toy chests. Each bag has 5 marbles. How many
marbles does he have in all?
A. 10
B. 15
C. 30
D. 35
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Answer:
C. 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
3 bags in each of 2 toy boxes. 3x5=15. That Would be the answer but he has 2 toy boxes go he has 6 bags. 15x2=30 or 15+15=30
The bakers at Healthy Bakery can make 310 bagels in 2 hours. How many
bagels can they bake in 20 hours? What was that rate per hour?
Answer:
The number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.
Step-by-step explanation:
Given;
number of bagels in 2 hours = 310 bagels
The rate per hour is calculated as;
[tex]Rate = \frac{310 \ bagels}{2 \ hours}\\\\Rate = 155 \ bagels \ per \ hour[/tex]
In 20 hours, the number of bagels made is calculated as;
Number of bagels = 155 (bagels/hour) x 20 (hour)
= 3100 bagels.
Therefore, the number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.
Suppose that the functions g and f are defined as follows.
g(x)=-3+2x^2
f(x)=9-6x
a. Find (g/f)(2)
b. Find all values that are NOT in the domain of g/f
If there is more than one value, separate them with commas.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
[tex]\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x[/tex]
Calculating the value of [tex](\frac{g}{f})(2)[/tex]:
[tex]\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)[/tex]
[tex]=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\[/tex]
x=[tex]- \frac{\sqrt{3}}{2}[/tex] and x=[tex]\frac{\sqrt{3}}{2}[/tex] are not in the domain.
Domain: [tex]x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)[/tex]
HELPPPPPPPPPPPPPPPPPPPP QUICK PLEAAAAAAAAAAAASE
Which of these geometric figures can intersect to form a cross section? Check all that apply.
1. a line and a prism
2. a line and a rectangle
3. a point and a prism
4. a prism and a horizontal plane
5. a vertical plane and a pyramid
Find two integers whose sum is -9 and product is 14
HLEP ME PLEASE MY HOMEWORK IS SO HARDDDDDDDD
Answer:
the other side is 4
Step-by-step explanation: its a right triangle
Step-by-step explanation:
this is my answer if u are asking for the adjacent length...sorry if its wrong
The surface is frictionless,Two blocks in contact with each other move
to the right across a horizontal surface by the two forces shown
Determine the magnitude of the force exerted on the block with mass 1.4 kg by the block with mass 6.4 kg.
Answer in units of N
9514 1404 393
Answer:
55 8/39 N ≈ 55 N
Step-by-step explanation:
The net force on the 1.4 kg block is proportional to its mass. That is, the ratio of net force on that block to the net force on the total mass is the same as the ratio of the block's mass to the total mass.
net force on 1.4 kg = (1.4 kg)/(1.4 +6.4 kg) × (64 N -15 N) = (7/39)(49 N)
net force on 1.4 kg = 8 31/39 N
Then the force applied by the 6.4 kg mass is ...
64 N - 8 31/39 N = 55 8/39 N ≈ 55 N . . . . applied by 6.4 kg mass
Shonna is reading a 528 page book she reads 22 pages every day how many days will it take Shana to read the entire booK
change 12 out of 40 to a percentage
△ abc is an equilateral triangle, bc must be 2 cm True or False
Please help me i need it
Answer:
x+4x=5x
5x+x=6x
6x+8x=14x.
The Jones have some friends drop in. They wish to serve sherry but do not have enough to serve all the same kind. So they mix some which is 20% alcohol with some which is 14% alcohol and have 5 quarts, which is 16% alcohol. How much of each king of sherry they have to mix
Answer:
they have to mix 1.67 quarts 20% and 3.33 quarts 14%
Step-by-step explanation:
Given the data in the question;
let x quarts of the 20 percent alcohol and y quarts of 14 percent alcohol be mixed to form 5 quarts
i.e
x + y = 5 -------------let this be equation 1
20%x + 14%y = 16%5
0.2x + 0.14y = 0.8
multiply through by 50
10x + 7y = 40 -------------let this be equ 2
so let multiply equation by -7
-7x - 7y = -35 ------------- let this be equ 3
add equ 2 and 3
3x + 0 = 5
x = 5/3 ≈ 1.67
substitute value of x in equation 1
5/3 + y = 5
y = 5 - 5/3
y = 10/3 ≈ 3.33
Therefore; they have to mix 1.67 quarts 20% and 3.33 quarts 14%
At Happy Harry’s Laundromat, the dryer costs $1.50 for 10 minutes. At Jolly Judy’s Laundromat the dryer costs $2.25 for 15 minutes. Which laundromat offer the better deal?will giv brainly if correct
Happy Harry’s Laundromat
Jolly Judy’s Laundromat
They charge the same amount.
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllppppppppppppppp
Answer: They charge the same amount.
Step-by-step explanation:
(4t^3-15t+3)-(-9t^3+t^2+17t)
Can i have this answer explain please
Answer:
[tex]13t^{2}-t^{2}-32t+3[/tex]
Step-by-step explanation:
Combine like-terms
Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 19 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 21 with a standard deviation of eight. Is the mean age of entering prostitution in Canada lower than the mean age in the United States
Answer:
Step-by-step explanation:
The null and the alternative hypothesis can be computed as:
[tex]H_o: \mu_{c} \ge \mu_{us}[/tex]
[tex]H_a: \mu_{c} < \mu_{us}[/tex]
The t- student test statistics can be computed as:
[tex]t = \dfrac{ x_c - x_{us} }{\sqrt { \dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us} ^2}{n_{us}} } }[/tex]
[tex]t = \dfrac{ 19 - 21 }{\sqrt { \dfrac{7^2}{100} + \dfrac{8^2}{130} } }[/tex]
t = -2.017
degree of freedom = (n₁-1)+(n₂-1)
= (100-1) + (130-1)
= 228
At t = -2.017 and 228 df
P-value = -0.224
Decision rule: Not to reject the null hypothesis if the p-value is greater than ∝(0.01)
Conclusion: We reject the null hypothesis since the p-value is less than ∝.
Thus, there is sufficient evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United states.
What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?
Answer:
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Step-by-step explanation:
According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.
[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].
If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:
[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]
[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]
[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]
[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]
[tex]c \approx 3.195[/tex]
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Answer:
C. 1/2(e^2-1)
Step-by-step explanation:
Edge AP Cal 2022
A bakery did a survey among 100 customers to find their food preference . The customers were asked about their preferences for cupcakes or brownies. Out of the total 72 people who liked cupcakes, 37 also liked brownies. There were 59 people who liked brownies.
Part A. Summarize the data by writing the values that the letters A to I in the table below represents
PART B. What percentage of the survey respondents did not like cupcakes or brownies ?
PART C . Do the survey results reveal a greater dislike for brownies or cupcakes? Justify your answer.
PLZZZ HELP
Have you found the answer yet?
Answer:
put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle
For the ppl who can click on brainly:
Part A:
Like Cupcakes
Do Not Like Cupcakes
Total
Like Brownies
37
22
59
Do Not Like Brownies
35
6
41
Total
72
28
100
Part b: 6
Part c: You really have to figure out how to word this 37- 72=35 35-41=6
hope it helps
what fraction does each get if six people share one whole pizza
Answer:
Does it say how many peices the pizza has? (if not then 1/6 ^^)
brainlist if you help me fill out table
Answer:
2.0 and 4.8
Step-by-step explanation:
each 5 is adding 0.4 and each 10 is adding 0.8. if you take the 20 and the number 1.6, multiply those by 3, and you will get 4.8 for the slot 60. for the slot 25, just add 0.4 to 1.6. hope this helped :)
Simply (2^3)-2
0 - 1/64
0 1/64
0 2
0 64
The correct answer is,
[tex] \frac{1}{64} [/tex]
Answer:
1/64
Step-by-step explanation:
when exponents are separated by parentheses, multiply them
so (2³)^-2 = 2^-6
whenever an exponent is negative, change into fraction form with one as the numerator and the other term goes into the denominator and the exponent now becomes positive
2^-6 = [tex]\frac{1}{2^6}[/tex] = [tex]\frac{1}{64}[/tex]
Find the perimeter of a triangle with side lengths: (y + 5) ft, (3y + 5) ft, and (4y - 3) ft.
Answer:
8y + 7
Step-by-step explanation:
add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7
find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm
need full solution or I'll report
find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm
Required diagram :
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{ 70 \: cm}}\put(9,17.5){\sf{h}}\end{picture}[/tex]
Solution :For a cylinder having a radius r and a height h ;
Volume Of Cylinder :
π r² .Here , the radius of the cylinder is given as 70 cm and the volume is 1.54 m³ .
Converting ;
1 m³ = 1 × 10⁶ cm³ .> 1.54 × 10⁶ cm³ .> 1540000 cm ³.> π r² h = 1540000> 22/7 × 70 × 70 × h = 1540000> 22 × 10 × 70 h = 1540000> 15400 h = 1540000> h = 100 cm = 1 m.The height of the cylinder is 100cm.=1m.