A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it in 6 seconds. How long does it take each animal to eat a sausage alone?
Answer:
Kitten is 15 seconds and dog is 10 seconds
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
What is concept of Work and time?
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time
Given-Puppy and kitten eats one sausage combined in 6 sec.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.
Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.
As Puppy and kitten eats one sausage combined in 6 sec.Thus,
[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]
Let above equation is equation one.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus
[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]
Put this value of [tex]x[/tex] in the the equation one to get the value of y. Therefore,
[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]
[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]
[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]
[tex]y=15[/tex]
Thus the kitten eats a sausage in 15 seconds.
Put the value of y in equation one. thus,
[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]
[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]
[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]
[tex]x=10[/tex]
Thus the puppy eats a sausage in 10 seconds.
Hence the kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
Learn more about the work and time here,
https://brainly.com/question/8536605
15 - 3x = - 6 x=____ help
Answer:
[tex]15 - 3x = - 6 \\ - 3x = - 6 - 15 \\ = 21 \\ x = \frac{21}{ - 3} \\ x = - 7[/tex]
Deriving the Trigonometric Area Formula
Follow these steps to derive the trigonometric area formula,
1. For LABD, sin(A) =
B
h
А
D
Check
b
Answer:h/c
Step-by-step explanation:
I have to solve this: (2x + 2/5)+(5x-4/5) and then simplify it.
Answer:
35x - 2
———————
5
i hope this helps
Step-by-step explanation:
Answer:
7x + 6/5 or 7x + 1 1/5
Step-by-step explanation:
Ya welcome.
how can i solve 3x+y=4
Answer:
it will end out to be y = -3x + 4
Step-by-step explanation:
you want to get y by itself, so you would subtract the 3x from the left side, which would get you y = -3x + 4
2/3 times 1/2 =
IN SIMPLEST FORM
I GIIVE BRAINY
Answer:
1/3!
Step-by-step explanation:
Look us Cymath on g0ogle, its a calculator that shows its work!
(7.2x10^-4)(8.0x10^-5
Answer:
5.76e-8
Step-by-step explanation:
(7.2x10^-4)(8.0x10^-5)
5.76e-8
a cone has a height of 4 ft and a volume of 7.77 Ft cubed determine its radius to the nearest tenth of a foot
Answer:
The radius of the cone is approximately 1.4 feet
Step-by-step explanation:
The given parameters of the cone are;
The height of the cone, h = 4 ft.
The volume of the cone, V = 7.77 ft.³
The volume, 'V', of a cone is given by the following formula;
V = 1/3 × π·r²·h
Where;
V = The volume of the cone = 7.77 ft.³
r = The radius of the cone
h = The height of the cone = 4 ft.
By substituting the vales of 'h' and 'V' in the above equation, we have;
7.77 ft.³ = 1/3 × π × r² × 4 ft.
∴ r = √(3 × 7.77 ft.³/(π × 4 ft.)) = 1.36196580784 ft.
∴ The radius of the cone, r ≈ 1.4 ft. (rounding the answer to the nearest 10th)
A student solved the equation below by graphing. log Subscript 6 Baseline (x minus 1) = log Subscript 2 Baseline (2 x + 2) Which statement about the graph is true? The curves do not intersect. The curves intersect at one point. The curves intersect at two points. The curves appear to coincide.
Answer:
A.) The curves do not intersect.
Step-by-step explanation:
By looking at the graph, we can see that the curves do not intercept, meaning that the equation has no solutions.
Graphs of logarithmic functions:First, here we have the graph of the lines:
y = log₆(x - 1)y = log₂(2x + 2)Which can be seen at the end of the answer.
In the graph, you can see that the lines never do intercept, this means that the equation:
log₆(x - 1) = log₂(2x + 2)
Has no solutions.
If you want to learn more about graphs, you can read:
https://brainly.com/question/11234618
good at math? PLEASE HELPPPP!!
Answer:
b
Step-by-step explanation:
what is N in 60% of N = 90?
A. 540
B. 240
C. 180
D. 150
Answer:
Answer is D.150
Step-by-step explanation:
I hope it's helpful!
expand and simplify (X+6)(X+5)
x^2 +5x + 6x + 30 = 0
y=x^2 +11x +30
Max worked 6.23 hours on Monday, 7.45 hours on Tuesday, 8.3 hours on Wednesday, 8 hours on Thursday, and 5.21 hours on Friday. What is the total number of hours that Max worked?
hours
The answer is 35.19 hours.
Mario travels 180 miles in 2.5 hours . If Mario travels at the same rate, how far can Mario travel in 1 hour ?
Answer:
i have no idea.
Step-by-step explanation:
thug life.
can y'all pls help me I don't want to fail and I will mark.
Answer:
the slope is 2/3
Step-by-step explanation:
2x + 3x = _____??
help me pls
Answer:
5x
Step-by-step explanation:
A credit card company charges the retail stores a 1.5% fee for each transaction. If a store receives $2,400 in credit card charges one day, how much will it have to pay in fees?
Answer: It will have to pay $36 in fees.
Step-by-step explanation: Hope this helps:) please mark me brainliest.
Mel uses one fourth of a yard of ribbon to make a hair bow how many hair bows can mel make with 1 yard of ribbon
Answer:
4
Step-by-step explanation:
If its 1/4 then you can use it 4 times to equal a whole yard
if √2 = 1.414 then find the value of (√50+√72) please solve
Given:
[tex]\sqrt{2}=1.414[/tex]
To find:
The value of [tex]\sqrt{50}+\sqrt{72}[/tex].
Solution:
We have,
[tex]\sqrt{50}+\sqrt{72}[/tex]
It can be rewritten as
[tex]=\sqrt{2\times 25}+\sqrt{2\times 36}[/tex]
[tex]=\sqrt{2}\times \sqrt{25}+\sqrt{2}\times \sqrt{36}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]=5\sqrt{2}+6\sqrt{2}[/tex]
[tex]=11\sqrt{2}[/tex]
Putting [tex]\sqrt{2}=1.414[/tex], we get
[tex]=11(1.414)[/tex]
[tex]=15.554[/tex]
Therefore, the value of given expression is 15.554.
simplify(3h-5)(2h+1)
Answer:
6h-5
Step-by-step explanation:
combine like terms
multiply though
Rewrite the equation by completing the square.
x^2 - 4x + 3 = 0
Answer:
the answer would be x=3,1
Answer:
After completing the square, we can say:
(x - 2)² = 1
If we solve for x, this tells us that x has a value of both 1 and 3.
Step-by-step explanation:
Given:
x² - 4x + 3 = 0
We can complete the square by adding 1 to both sides:
x² - 4x + 4 = 1
(x - 2)² = 1
We can then solve for x by saying:
(x - 2)² = 1
x - 2 = √1
x = 2 ± 1
x = 1, 3
6(2x-4)=12x+k what is the value of k will create an equation with infinitely many solutions
Answer:
K = -24
Step-by-step explanation:
I didn’t get the second question
A loan was taken out for $1000 Sierra pays $50 per month what is the equation ?
Answer:
1000-50m
Step-by-step explanation:
easy points.................
Answer:
17 i think
Step-by-step explanation:
What is the radius and diameter of the following circle?
Answer:
radius is 11cm diameter is 22cm
Step-by-step explanation:
Answer:
Radius: 11
Diameter: 22
Step-by-step explanation:
The radius is the 11 being shown, the diameter is 2 times the radius.
Hope this helps!
What number is halfway between
1/5
and
4/15
Answer:
1/5+4/5
1×5/5+4×1/5
5/5+4/5
5+4/5
9/5
(9/5)/2
please help me on this will give you brainliest!!
Answer:
a) 1068 b)272
Step-by-step explanation:
For question a you would just add the two numbers together.
881+187=1068
For question b you would
-187+459=272
please answer I need the answer!!
Answer:
They have different slopes but the same y-intercept, so they have one solution.
Step-by-step explanation:
Both equations are organized in slope-intercept form, y=mx+b. m is the slope and b is the y-intercept.
In the first equation, the slope is 1/2 and the y-intercept is -3.
In the second equation, the slope is -1/2 and the y-intercept is -3.
These two equations have different slopes, in fact, the second equation has the same slope except negative. This means that they travel with the same steepness but one goes up and the other goes down.
However, they have the same y-intercepts. This means that they both intercept the same point on the y axis. Wherever two equations intercept is their solution.
Therefore, these two equations have one solution.
I hope this helps!
HURRY PLEASEEE
Evaluate the expression when y = 4
Y/2-8=
Evaluate ƒ(x) when x = 10
Answer:
10f ?
Step-by-step explanation:
fx10