Answer:
The exact value of x will be [tex]\sqrt{52}[/tex] or 7.2111
Step-by-step explanation:
Hope this Helped
Two playful kittens working together can unwind all the balls of yarn in a basket 9
minutes faster than if the first kitten is working alone, and 4 minutes faster than if the
second kitten is working alone. How long does it take each kitten to unwind all the
balls of yarn alone?
Answer:
The time it takes the first kitten to unwind the balls of yarn alone is 15 minutes
The time it takes the second kitten to unwind the balls of yarn alone is 10 minutes
Step-by-step explanation:
The time it takes the two kitten to unwind the balls of yarn = 9 minutes faster than the first kitten working alone
The time it takes the two kitten to unwind the balls of yarn = 4 minutes faster than the second kitten working alone
Let 'x' represent the time it takes the first kitten to unwind the balls of yarn alone, let 'y' represent the time it takes the second kitten to unwind the balls of yarn alone, and let 't' represent the time it takes the two kitten to unwind the balls of yarn we have;
x = t + 9
y = t + 4
The rate of working, per ball of yarn, of the first kitten = 1/x = 1/(t + 9)
The rate of working, per ball of yarn, of the second kitten = 1/y = 1/(t + 4)
The amount of work each kitten does in the time 't', added together to unwind 1 ball of yarn is given as follows;
t/(t + 9) + t/(t + 4) = 1
(t·(t +4) + t·(t + 9))/(t + 4)×(t + 9) = 1
Using a graphing calculator, we have;
(2·t²+13·t)/(t² + 13·t + 36) = 1
∴ (2·t² + 13·t) = (t² + 13·t + 36)
(2·t² + 13·t) - (t² + 13·t + 36) = 0
t² - 36 = 0
t = √36 = 6
t = 6
x = t + 9 = 6 + 9 = 15
The time it takes the first kitten to unwind the balls of yarn alone, x = 15 minutes
y = t + 4 = 6 + 4 = 10
The time it takes the second kitten to unwind the balls of yarn alone, y = 10 minutes
Answer:
15 and 10 are correct
Step-by-step explanation:
Which equation describes this line?
A. y - 4 = 3 (x - 2)
B. y - 1 = 3(x-13)
C. y - 2 = 3(x - 4)
D. y - 4 = 3(x+2)
Answer:
D. y - 4 = 3 (x + 2)
Step-by-step explanation:
y - 4 = 3 {slope} [x - (-2)]
y - 4 = 3 (x + 2)
Expand and simplify (x + 5)(x - 2)
Answer: *x squred +3x-10*
Step-by-step explanation:
(x+5)(x-2)
x squred-2x+5x-10
x squred +3x-10
The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be = A
Now , the equation A = ( x + 5 ) ( x - 2 )
On simplifying the equation , we get
A = x ( x - 2 ) + 5 ( x - 2 )
Expanding the brackets , we get
A = x² - 2x + 5x - 10
On simplifying the equation , we get
A = x² + 3x - 10
Therefore , the value of A is x² + 3x - 10
Hence , The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
Need help with this question
Answer:
C. x = 3
Step-by-step explanation:
8x - 8 = 2x + 10
get the x on it's own
8x - 8 + 8 = 8x
2x + 10 + 8 = 2x + 18
8x = 2x + 18
8x - 2x = 6x
2x + 18 - 2x = 18
6x = 18
now divide each side by 6
6x / 6 = x
18 / 6 = 3
x = 3
X=3
Explanation
8x-8=2x+10
6x=18
x=3
A weather station on the top of a mountain reports that the temperature is currently 0 and has been falling at a constant rate of 3 degrees per hour. Find each temperature.
What was the temperature:
1 hour ago? degrees
3 hours ago? degrees
Answer:
Step-by-step explanation:
hola my friend
According to the weather report, there is a 25% chance it will snow today. It snows today. Choose likely or unlikely to describe the probability.
a
Likely
b
Unlikely
Answer: Unlikely
Step-by-step explanation: Given that there’s a 75 percent chance it will not snow, it can be considered unlikely.
Did you sleep with a comfort object as a child? Do you still? No
need to stuff that teddy bear from your infant years in your closet the
next time you have a guest over—the odds are good that he or she has
a comfort object, too. A study conducted by Sleepopolis and
OnePoll reported that 34% of adults still sleep with a stuffed animal,
blanket, or other sentimental object, according to a survey of a random
sample of 100 adults. A similar study, based on a random sample of 80
children reports that 75% of children sleep with a comfort object.
Do these data provide convincing evidence that the proportion of adults
who sleep with a comfort object is less than the proportion of children
who sleep with a comfort object? Justify your answe
Answer:
depends how random it was, it could vary between countries and stuff. but lets say its random between ethnicities. I think it doesn't really have enough people to be sure, I would say a thousand and not 100, but that's just me.
What is the value of x?
Answer:
98°
Step-by-step explanation:
x = 53° + 45° { exterior angle of a triangle is equal to the sum of two opposite interior angles }
x = 98°
Triangle TRS is similar to triangle TMN. Angle T = 40°, angle R = 60°, and angle S = 80° . What is the measure of angle M
Answer:
60degrees
Step-by-step explanation:
For similar triangles, the angles of their angles are equal to matter the size.
Hence if triangle TRS is similar to triangle TMN, then;
<R = <M and <S = <N
Given that;
<T = 40 degrees
<R = 60degrees
<S = 80 degrees
Since <R = <M, then <M = 60degrees
Mhanifa please c:
1) A principle of $300 was deposited in a savings account that pays 3.5 interest compounded yearly. Find the balance after 5 years.
2) UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound, and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?
Answer:
Step-by-step explanation:
300×1.035⁵ ≅ $356.31
:::::
UPS charge = 7 + (p-1)0.20 = 0.20p +6.80
FedEx charge = 5 + (p-1)0.30 = 0.30p + 4.70
0.30p + 4.70 = 0.20p +6.80
0.10p = 2.1
p = 21
They charge the same for 21 pounds.
Identify each number as prime or composite. Then list all its factors b) 6 is? Its factors are __ ___ ___ ___
Answer:
6 is composite
Step-by-step explanation:
Given
[tex]Number = 6[/tex]
Required
Prime or Composite
The number 6 is not prime. This is so because apart from 1 and 6, it can also be divided by 2, 3
Hence:
6 is composite
And the factors are:
1, 2, 3 and 6
Khan academy question
Answer:
56.25
Step-by-step explanation:
cos-1(5/9)
cos the angle=adjacent ÷hypotynous
Write an equation of the line that passes through the given points.
(-6,8) and (1,0)
Answer:
y=-8/7x+8/7
Step-by-step explanation:
Which figure will this net make
Answer:
C
Step-by-step explanation:
Rectangle base, tiny triangle sides, but rectangle top
I need help due in a Hour PLZ HURRY
Answer:
circumference=πd=6πcm
circumference of dark arc =(360-120)/360×πd=
240/360×6π=4π is the required answer
HELP I WILL GIVE U BRAINLIETS JUST HELP ME PLS
Complete the table using the equation y = 8x + 4.
-1
0
X
1
N
3
y
Answer:
x = -1, y = -4
x = 0, y = 4
x = 1, y = 12
x = 2, y = 20
x = 3, y = 28
Step-by-step explanation:
y = 8x+4
x = -1, y = -4
x = 0, y = 4
x = 1, y = 12
x = 2, y = 20
x = 3, y = 28
What is X...
What is Y....
Answer:
x = 110
y = 40
Step-by-step explanation:
m∡5 = 30° because it forms a linear pair with ∡6, which is 150°
x + y = 150 (angles 4 and 6 are alternate-interior and are congruent)
angles 3 and 6 are same-side interior and are supplementary
therefore: x -2y = 180-150
if x + y = 150 we can say that x = 150 - y
we can plug '150-y' for 'x' in x - 2y = 30
150-y - 2y = 30
-3y = -120
y = 40
x = 110
What is the slope of the line in the
graph?
the slope is a positive one.
the equation would be y = x + 1
Answer:
y = x + 1
Step-by-step explanation:
x because the change is x is 1. And the change in y is also 1. 1/1 can be written as x.
The line crosses the y axis on 1, making it the y-intercept.
PLSSS HELPP I BEGG What is the solution to the system of linear equations graphed below?
Answer:
No solution
Step-by-step explanation:
because the are parallel lines they never meet so they are inconsistent so there is no solution
Please help!!
"simplify the expression
write your answer using a positive exponent"
(3/7)^-6 x (3/7)^-1%(3/7)^-3
Answer:
2067.62052882
Step-by-step explanation:
Do you need to round? let me know :)
7. You are planning to buy a car in 2024 after you
graduate. You would like a Camaro that costs
$20,000. Your friend is discouraging you from making
this purchase because the value of the car will
depreciate 6% each year. Let x write the number of
years after 2024. How much will the car be worth in
2031? (Round your answer to the nearest dollar.)
(F.IF.2)
A. $8,982
B. $12,970
C. $30,073
D. $32
Answer:
A or B
Step-by-step explanation:
Which is a zero of the function f(x) = 2x – 6?
2
-3
-6
3
Answer and explanation:
The answer is actually -3. We already know f(x)/y is equal to 0, so the equation is then simplified to 0 = 2x - 6. You do inverse operation, so then -6 = 2x. Then -6 divided by 2 is -3. So -3 = x. Therefore, the zero of the function f(x) = 2x – 6 is -3.
Simplify each expression. Show all work from credit.
Plz help me
Answer:
1. = 1 because any numbers to the power 0 is one
2. = 1/64
3.= b^15 base same power added up
2. True or False: According to financial experts, a renter should allow no more than 30%
of their gross income for rent.
Anciner:
Answer:
False
Step-by-step explanation:
can u pls help me with this question asap
PLZ HELP ME WITH THIS, IT COMES WITH AN EXAMPLE AND A QUESTION!?!!?
Answer:
-6(-8.5) = 51
Step-by-step explanation:
-8 1/2 is also -8.5
-6(-8.5) = 51
Answer:
cool
Step-by-step explanation:
very nice
A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)
Answer:
26.42139285
Step-by-step explanation:
26x26 + 4.7x4.7 = c2
676 + 22.9 =c2
698.09=c2
square root of 698.09=26.42139285
26.42139285 = c
Factor the expression.
7x+42
Answer:
7(x+6)
Step-by-step explanation:
hope it helps :)
your friends show you a coin collection .in it 45/50 of the coins are quarters.what percent of the coins are quarter
Answer:
90%
Step-by-step explanation:
45 : 50
45 / 50 = 0.9
0.9 x 100 = 90
Answer: 20%
Step-by-step explanation: i learned this in mexico class
twelve times twelf equals
1212
Step-by-step explanation:
144
° • .°• ✯
° • .°• ✯ ★ * ° °·
° • .°• ✯ ★ * ° °· . • ° ★ • ☄
° • .°• ✯ ★ * ° °· . • ° ★ • ☄▁▂▃▄▅▆▇▇▆▅▄▃▁▂
Answer:144
Step-by-step explanation: