Answer:
Lee drank 31/15 qt. of water (2 1/15 qt. as a mixed number, or approximately 20.07 qt. as a decimal).
Step-by-step explanation:
To add and subtract fractions, a least common denominator needs to be found. But first, to make it easier, mixed numbers should be replaced with improper fractions. So, Lee drank 5/3 qt. of water.
Now to find the LCD (least common denominator), the denominators of each fraction should be multiplied by 1, then 2, then 3, etc until a product of one fraction is the same as that of another (as shown):
For 2/5, the denominator is 5, so 5*1 = 5, 5*2 = 10, 5*3 = 15...
For 5/3, the denominator is 3, so 3*1 = 3, 3*2 = 6, 3*3 = 9, 3*3 = 4, 3*5 = 15...
15 is the LCD, since both denominators can be multiplied by a whole number for a product of 15.
Now, each fraction is multiplied by 1, by multiplying each fractions numerators and denominators by the number found previously that causes the denominator to equal 15:
For 2/5, 5*3 = 15, so both 2 and 5 are multiplied by 3
2* 3 = 6, 5 * 3 = 15, so 2/5 = 6/15
For 5/3, 3*5 = 15, so both 5 and 3 are multiplied by 5
5* 5 = 25, 3 * 5 = 15, so 5/3 = 25/15
Now these fractions can easily be added or subtracted by performing these operations on their numerators. Sonia drank 6/15 qt. more than Lee, so she drank 6/15 + 25/15 qt. of water, or 31/15 qt.
Step-by-step explanation:
What is the sin value of 5pi/3
Answer:√(3)/2
hope that helped you:)
please make my answer brainiest as im trying get 4 brainiest answers
g Find the required probabilities using the exponential density function f(t) = 1 λ e−t/λ, [0, [infinity]). The time t (in years) until failure of a component in a machine is exponentially distributed with λ = 3.5. Find the probabilities that the lifetime of a given component will be less than 1 year, more than 2 years but less than 4 years, and at least 5 years. (Round your answers to three decimal places.) (a) less than 1 year (b) more than 2 years but less than 4 years (c) at least 5 years
Answer:
(a) less than 1 year =0.751488
(b) more than 2 years but less than 4 years = 0.2458
(c) at least 5 years= 0.760331
Step-by-step explanation:
f(t) = 1 λ e−t/λ, [0, [infinity])
First we calculate the probability for an exponential random variable X with parameter λ
P (X= t) = ∫ 1 λ e−t/λ, dt
P (x=t) = e−t/λ,
λ = 3.5
Now P (X< 1 ) = ∫ 1 λ e−t/λ, dt [the limits are (-∞ to 1)]
= e−1/3.5= 0.751488
P ( 2<X< 4 ) = ∫ 1 λ e−t/λ, dt [ the limits are (2 to 4)]
=e−2/3.5- e−4/3.5
= e-0.57142-e-1.142857
= 0.5647-0.31890
= 0.2458
P (at least 5) = 1- P (x=5)
= 1-∫ 1 λ e−t/λ, dt [ the limits are (∞ to 5)]
= 1- e−5/3.5
= 1 - e-1.4285
= 1-0.239
= 0.760331
PLEASE HELP!!! It’s about exponential functions. I will mark brainliest!!!!!!
Find the value of x.
71°
(10x + 6)°
(13x - 2)°
(8x - 1)
#15
Answer:
7x7/6x4
Step-by-step explanation:
The ratio of berries to oranges is 12:5. If there are 25 oranges, how many berries are there
Answer:
60
Step-by-step explanation:
5*5 is 25
then 12 * 5 is 60!
Factor the expression using GCF of 4+22
Answer:
the answer would be 2(2+11)
Step-by-step explanation:
_______________________
Answer:
C.
Step-by-step explanation:
For history class, Joe spent 2 hours writing a 4-page report on ancient Egypt. This weekend, he needs to write a 12-page report on the Roman Empire.
If he writes at the same rate, how long will it take Joe to write his report?
Answer:
2hours/4pages
2/4=1/2
1/2=x/12
cross multiply
12=2x
divide by 2 both sides
6=x
6 hours
Answer:
the answer is 6
Step-by-step explanation:
5-(-3.8) + 1.5
I don't understand how to work problems like this
ejt-vokv-opj join to teach
Answer:
ive seen this before its not to teach what you think stay away from it
Answer:
i thought this was a different language
Step-by-step explanation:
smh
1) Find the product of -5x2y4 and 3xy3
Answer:
Answer: -15x3y7
Step-by-step explanation:
Answer:
-15x3y7 is the answer
Step-by-step explanation:
In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?
Answer:
[tex]XY = 4.9[/tex]
Step-by-step explanation:
Given
[tex]XZ= 4[/tex]
[tex]\angle Y = 45[/tex]
[tex]\angle Z = 60[/tex]
Required
Determine the measure of side XY
To do this, we make use of sine law. This is as follows:
[tex]\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}[/tex]
In this case:
[tex]\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}[/tex]
Cross Multiply
[tex]XY * \sin(45) = 4 * \sin(60)[/tex]
[tex]XY * 0.7071 = 4 * 0.8660[/tex]
Make XY the subject
[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]
[tex]XY = \frac{3.4640}{0.7071}[/tex]
[tex]XY = 4.89888276057[/tex]
[tex]XY = 4.9[/tex] -- approximated
HELP ME PLEASE!!!!!
The midpoint of PQ is M=(3, -1). One endpoint is P=(8, -7). Find the coordinates of the other endpoint, Q.
Answer:
I think the answer (-2, 6)
What is the equation for the line in slope-intercept form?
Answer:
y = 8x
Step-by-step explanation:
I believe counting up from the origin to the last point gives a slope of 8/1 which there wouldn't be a y-intercept in the equation.
Sad Ariana Grande Facts/Moments pt.2
Ariana preformed in Pittsburg, Mac millers hometown. Not only did they split up, but he passed. She sang Thank u, next (more emotional than you might think) and was in tears :( i cry inside when i see her like thissss
Please help guys I need it
Answer:
a= 20
b= 169.7
c= 29.71
Step-by-step explanation:
The formula of a triangle is (h*b)/2
a= (5*8)/2
b= to find the height, you can use the pythagorean theorem 18^2 - 6^2 = square root of 288. Which is 12root 2 or 16.97. (16.97*20)/2
c= using the pythagorean theorem- 11^2 = 7^2 - c^2 = square root 73, or 6root 2, or 8.49. (8.49* 7)/2
what is m% of n please help
m% of n would technically be some amount of n. To find m%, you would have to do n * 0.m to find your answer
What is the GCF of the expression -x2y22 - xy2z?
Answer:
i dont onderstand Thais
3
6x
21(x + 1) 21(x + 1 )
.
21(x+1)=21x+21?
3*6x=18x
please help i have no idea
Use the elimination method to solve the following system. 6x – 7y = –8 –x – 4y = –9
(–6, –3)
(0, 4)
(–3, 8)
(1, 2)
You pick a card at random. What is P(6)? Write
your answer as a percentage.
Ariane borrows $200 on a 2−year loan. She is charged 5% simple interest per year. How much interest is she charged for 2 years? What is the total amount she has to pay back?
Answer:
Interest charged over two years: $20
Total amount: $220
Step-by-step explanation:
The formula for simple interest is A = P ( 1 + rt ).
A = 200 ( 1 + (0.05 * 2))
A is the total amount ( interest + principle )
A = 220
P is the principle ( initial amount deposited )
P = 200
R refers to rate (in percent)
R = 0.05
T = time period (in years)
T = 2
please click to go to my question pleaseeeeeeeee https://brainly.com/question/19665659
click click
plz clickkkkkkkkkkkkkkkk\
Answer:
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Lines a, b, c, and d are distinct lines in the same plane. Decide if lines a and d are parallel, perpendicular, or if there is not enough information
Answer:
A. Parrellel
Step-by-step explanation:
it is parrellel because if you look between b and c you can
see that it is a parrellel line
Am I correct?
Or not, please
Answer:
No you are not correct.
Step-by-step explanation:
This answer choice is A.
hope this helps!!
Yes.
The positive numbers are greater than the negative numbers.
6. What are the dimensions of this matrix?
Answer:
the dimensions will be 2 x 1
Option C is correct option.
Step-by-step explanation:
We need to determine the dimensions of this matrix [tex]\left[\begin{array}{c}2&\sqrt{5} \end{array}\right][/tex]
The dimensions consists of rows and columns in the form. Rows x Columns
In the given matrix the rows are: 2
The columns are: 1
So, the dimensions will be 2 x 1
Option C is correct option.
What is the equation of the line that passes through the points (-1, 3) and (1, 11)? (5 points)
4x - y = 1
x - 4y = -13
4x - y = -7
4x + y = 1
Answer:
4
Step-by-step explanation:
I am pretty sure its that one
PLZ HELP
Write and solve an equation to find x then find the measure of the unknown angles
Answer:
1)
8x + x = 180
9x = 180
x = 30
2)
x + 2 = 2x - 40
2 = x - 40
x = 42
3)
2x + x = 90
3x = 90
x = 30
4)
3x + 1 = 4x - 25
1 = x - 25
x = 26
Can someone please help me ?
Answer:
Option c is correct
Step-by-step explanation:
Y =mx+c
Where m=2/3
c= 8/3
Answer:
the third option is the right answer
Step-by-step explanation:
y = mx+c
m is the slope
c is the y-intercept
compare the below equations:
[tex]y = mx + c[/tex]
[tex]f(x) = \frac{2}{3} x + \frac{8}{3} [/tex]
[tex]m = \frac{2}{3} \: and \: c = \frac{8}{3} [/tex]