Answer:
The mama bear can do it in 9
seconds. The cub can do it in 18
seconds.
Step-by-step explanation:
1/x+9+1/x=1/6
Using the together rate, it is found that it would take each bear 9 hours to open the car door alone.
What is the together rate?The together rate is the sum of each separate rate.
In this problem, the rates are as follows:
Given
A tourist ignores the warning signs and leaves food in his car while he goes for a hike.
A mama bear and her cub open the car door in six seconds.
Together with rate: 1/6.
Mama's rate: 1/x.
Cub's rate: 1/(x + 9).
Therefore,
[tex]\rm \dfrac{1}{x}+\dfrac{1}{x+9}=\dfrac{1}{6}\\\\\dfrac{x+9+x}{x(x+9)}=\dfrac{1}{6}\\\\\dfrac{2x+9}{x(x+9)}=\dfrac{1}{6}\\\\ 6(2x+9)=x(x+9)\\\\12x+54=x^2+9x\\\\x^2+9x-12x-54=0\\\\x^2-3x-54=0\\\\ x^2+6x-9x-54=0\\\\ x(x+6)-9(x+6)\\\\(x-9)(x+6)=0\\\\x-9=0 \ x=9\\\\x+6=0 \ x=-6[/tex]
The value of time can not be negative.
Hence, It would take each bear 9 hours to open the car door alone.
To learn more about the together rate, you can take a look at brainly.com/question/25159431
A self-tanning lotion advertises that a 4 -oz bottle will provide seven applications. Jen found a great deal on a 13 -oz bottle of the self-tanning lotion she had been using. Based on the advertising claims, how many applications of the self-tanner should Jen expect?
Answer:
22.75 applications
Step-by-step explanation:
From the above question, we understand that:
4 -oz bottle = 7 applications
13 -oz bottle = x applications
Cross Multiply
4 -oz bottle × x applications = 13 -oz bottle × 7 applications
x applications = 13 -oz bottle × 7 applications/4 -oz bottle
x applications = 22.75 applications
Therefore, the number of applications of the 13 -oz bottle self-tanner that should Jen expect is 22.75 applications.
The number of applications that Jen can expect from the self-tanner is 22.75 applications.
The first step is to determine how many applications 1 -oz of the bottle can provide.
Number of applications 1 -oz of the bottle can provide = 7/4 = 1.75
The second step is to multiply the figure gotten in the previous step by 13
13 x 1.75 = 22.75 applications
A similar question was answered here: https://brainly.com/question/5026010
I need help on math:(
Answer:
A. 10
Step-by-step explanation:
The perimeter is the sum of all the outside lengths
Therefore, to find the value of x, you must do:
x + x + 5 + x + 7 = 42
3x + 12 = 42
3x = 30
x =10
Use the function f(x) = −16x2 + 60x + to Completely factor f(x).
Pls include steps
Answer: -4x(4x - 15)
Step-by-step explanation:
f(x) = [tex]-16x^{2}[/tex] + 60x
y = [tex]-16x^{2}[/tex] + 60x
=> - ([tex]16x^{2}[/tex] - 60x)
=> -4x(4x - 15)
when simplfying expressions or solving equations which step do you do first? The Distribtuive Property or Combine Like Terms?
Answer:
go
Step-by-step explanation:
Answer:
the distributive property
Step-by-step explanation:
because combining like terms in addition or subtraction and the distributive property is multiplication and in the order of operations multiplication always goes first
The rationalizing factor of 1/√13 is
Answer:
Exact Form: √13/13
Decimal Form: 0.27735009…
Step-by-step explanation:
Hence value of [tex]\sqrt{13}[/tex] = 0.22
What is rationalization?the act of seeking to justify or explain a behavior or attitude using logical explanations, even when these are insufficient.
How to solve?Given[tex]\frac{1}{\sqrt{13} }*\frac{\sqrt{13} }{\sqrt{13} }[/tex]
=[tex]\frac{\sqrt{13} }{13}[/tex]
=0.277
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Help plzz
Factorial Expressions
The answer is 24.
Sorry for my bad handwriting :(
Hope it’s clear enough for you
Answer:
1/24
Step-by-step explanation:
It's important to know that when there's an exclamation mark next to a number it means its multiplying itself by it's decreasing positive integers.
multiply
((3*2*1)(5*4*3*2*1))/((6*5*4*3*2*1)(4*3*2*1))
multiply again
((6)(120))/((720)(24))
and from here you simplify
720/17280
1/24
hope this helped :)
An archery target is shown. The length of a side of the inner square is 6 ft and the length of a side of the outer square is 11 ft. If an arrow
target at random, what is the probability that it hits the shaded region? Round to the nearest percent.
Answer:
The answer is below
Step-by-step explanation:
A square is a quadrilateral (has four sides and four angles). All the sides of a square has equal sides and all the angles of a square are equal with a measure of 90° each.
The area of inner square = length * length = 6 ft * 6 ft = 36 ft²
The area of outer square = length * length = 11 ft * 11 ft = 121 ft²
The probability that the arrow hits the inner square = area of inner square / area of outer square
The probability that the arrow hits the inner square = 36 ft² / 121 ft² = 0.3 = 30%
Answer:
55% i think
Step-by-step explanation:
*** PLEASE HELP*** 1. What does 4x + 10x = and 2.Which expression is an example of having like-terms?
4x + 4y
4x2 + 5y2
5x + 3x
8 - 4x
Answer:
1. 14x
2. 5x + 3x
Step-by-step explanation:
1) 4x + 10x = 14x
2) By "like-terms" the question means that the expression contains the same variable part. Therefore, the only expression that meets that is 5x + 3x.
HELPPP!!!!
What is one solution?
Eliminate any extraneous solutions.
Answer:
The correct answer is x= 4/5 because you cannot take the root of a negative number
PLS I NEED HELP PLSSSSSSSSSS
please help it’s due today!
Please hurry I need an answer
Answer: The answer is 4
Step-by-step explanation:
Hope this helps.
Answer:
6
Step-by-step explanation:
6×6-3=36-3
=33>21
Hope it helps!
Thanks!
Evaluate the expression (13 - 2) ^ 2 ÷ 11
What is the value expression?
Answer:
11
Step-by-step explanation:
(13-2)^2/11
11^2=121
121/11=11
Graph
How to put -31/2 , 21/2 on a graph
GEOMETRY STUFF PLEASE ANSWER DUE IN 10 MINUTES
Answer:
1. m∠QVR=49°
6. 3x+4=49
4. straight angles theorem
8. division property
Step-by-step explanation:
Z=1-5i. Please help me with this question!!
Answer:m
⇆goodStep-by-step explanation:
The perimeter of the triangle is 9.2 cm. Write an equation and find the missing side.
Answer:
9.2-(1.8+3.6)=s
s=3.8
Step-by-step explanation:
9.2-5.4=s
3.8=s
s=3.8
Hope this helps! :)
Can someone please help with this!
mathpapa should n could help
Answer: 16.48486
Step-by-step explanation:
tan(70°) = x/6
x = 6tan(70°)
x = 16.48486
the value of (a+b)² - (a-b)² is
Answer:
4ab
Step-by-step explanation:
(a+b)^2-(a-b)^2
=a^2 + 2ab + b^2 -(a^2 - 2ab +b^2)
=a^2 + 2ab + b^2 - a^2 + 2ab - b^2
=2ab + 2ab
=4ab
What is the slope of the line in the graph?
Answer:
m = 1
Step-by-step explanation:
a furniture factory can box a desk chair in 15 seconds. what is the rate per minute
Answer:
It is important to carefully look at all the information's that are given in the question. based on those information's the answer to the question has to be deduced. One important aspect for doing this problem is converting 1 minute into 60 seconds and then start solving.
In 15 seconds a the number of desk chairs a furniture factory can box = 1
In 60 seconds a the number of
desk chairs a furniture factory can box = (1/15) * 60
= 4 chairs
One inch is about 2.54 centimeters. About how many centimeters is 4.5 inches?
A. 11.4 B. 114 C. 1.8 D. 13.7
Answer:
11.43
Step-by-step explanation:
cause im smart.........
Answer:
the answer is A
Step-by-step explanation:
If 1 inch is 2.54 cm then 4.5 inches is equal to 2.54 X 4.5
!! no one is describing it right :'( !!
A rabbit's fur grows at the rate of 5 over 2 inches per month.
How many months will it take the rabbit's fur to grow 15 over 4 inches?
Explain your answer using words, and show your work using division of fractions.
Step-by-step explanation: 5/2 is equal to 2.5 and 15/4 is equal to 3.75,
we do 3.75 / 2.5 to get 1.5.
Check by doing 2.5 x 1.5 to get 3.75.
Hope this helped!
Answer:
5/2 x2/2 =10/4 a month. 20/4 for two months.it is 15/4 mean half of one and two month. it will be one month and half for rabbit to grow 15/4.
Step-by-step explanation: got 100% on test
Find two fractions, when multiplied together make 3/4
Step-by-step explanation:
9/12 if we divided by 3
6/8 if we divided by 2
hope it helps u
The two fractions when multiplied together make 3/4 are, 1/2 and 3/2.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
The first fraction can be 1/2 when multiplied by the second fraction 3/2.
Therefore,
The two fractions, when multiplied together make 3/4 is (1/2)×(3/2).
= 3/4.
learn more about fractions here :
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can you Just pls Tell me the answer
Answer:
1. Equation is x - 5 = 8
x = 13
2. Equation is 4x - 4 = 10
x = 3.5
3. Equation is x/4 = 8
x = 32
4. Equation is 5x = 10
x = 2
5. Equation is x - 5 / 2 = 14
x = 33
6. Equation is 4x / 5 = 10
x = 12.5
7. Equation is 2x - 10 = 8
x = 9
8. Equation is 3x + 6 / 3 = 10
x = 8
9. Equation x + 8 / 4 = 14
x = 48
what number is exactly halfway between 124 and 186
Answer:
155
Step-by-step explanation:
there is 31 numbers in between both 124 and 186
Mariana picked x apples at an orchard. She and her friends ate 6 of them, leaving 36 apples the number of apples can be represented by the equation x-6=36 . Plot a point on the number line to represent x, the number of apples Mariana picked.
Answer:
42??
Cause 42-6=36
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Answer:
42
Step-by-step explanation:
36+6=42
42-6=36
The diameter of a circle measures 14ft. What is the circumference of the circle?
How many solutions does this system of linear equations have? Explain. 3y + 6x = 12 8x + 4y = 16
Answer:
first equation : 3y + 6×=12
second equation : 4y + 8x = 16
Step-by-step explanation:
first equation
3y + 6× = 12
now take the common ,
3( y + 2x ) = 12
so, y + 2x = 4
second equation
4y + 8x = 16
4 ( y + 2x ) = 16
so, y + 2x = 4
two lines with same equation have infinitely many solution . these two equations are the same so there are infinitely many solution .
Simplify the expression.
4X2 + 10x -6 / 2x-1
a. -x+5
b.2(x+3)
c.x+3
d.2x-6
Answer:
4x2+7x−1
Step-by-step explanation: