Answer:
19
Step-by-step explanation:
Note that
[tex]\dfrac{10a}{b+c} + \dfrac{10b}{a+c} + \dfrac{10c}{a+b} = 10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right)[/tex]
and
[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b}=\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]
from [tex]a+b+c=7 \implies a=7-bc; b = 7-a-c; c = 7-a-b[/tex]
and
[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b} = 7\left(\dfrac{1}{a+b}+\dfrac{1}{b+c}+\dfrac{1}{a+c}\right)-3[/tex]
because it is not difficult to note that
[tex]$\sum \dfrac a{b+c}=\dfrac a{b+c}+\dfrac b{c+a}+\dfrac c{a+b}$[/tex]
Therefore,
[tex]7\left(\dfrac{7}{10}\right)-3 = \dfrac{49}{10}-3 =\boxed{ \dfrac{19}{10}} = \dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]
Finally,
[tex]10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right) = 10 \cdot \dfrac{19}{10} = 19[/tex]
a patient is prescribed motrin 800mg, 1 tablet 3 times daily. What would the days supply be for 30 tablets?
Based on the number of tablets to be taken per day, the days supply for 30 tablets would be 10 days.
The patient is to take a tablet 3 times a day which means that they are to take:
= 1 x 3
= 3 tablets daily
If they have 30 tablets, this will last:
= Number of tablets / Tablets per day
= 30 / 3
= 10 days
In conclusion, it will take 10 days for the tablets to run out.
Find out more at https://brainly.com/question/13043215.
Would anyone be able to help with this?
hii the answer would be 57°
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 45 books. There were twice as many large boxes sent as small boxes, which altogether can hold 360 books. Graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number of large boxes sent, y.
Answer:
altogether can hold 360 books. Graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number of large boxes sent, y.
Step-by-step explanation:
Answer:
Let be x the number of small boxes sent and y the number of large boxes sent.
Since each small box can hold 30 books (30x), each large box can hold 45 books (45y)and altogether can hold a total of 360 books, we can write the following equation to represent this:
30x+45y=360
According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation:
y=8-2x/3
Brainliest plz
explain how to use a graph of the function f(x) to find f(3)
Answer:
See below
Step-by-step explanation:
What f(3) means is the value of f(x), or "y", when x=3. So, you would go 3 to the right on the x-axis, and then you would go up or down the y-axis until you touch the graph of the function. That will be where f(3) is.
Given a graph of the function f(x), find 3 on the X axis and then look directly up or down from there to find the Y coordinate of the function at that value of X.
f(3) is equal to Y at x=3.
NEED RATIONAL
G borrowed $15,000 to buy a business. The interest
rate was 11%. If G paid all the interest and the amount
borrowed with a single payment at the end of 16
months, what is the amount of this payment?
HELLP ILL GIVE BRSINLY
m = 180 - CBE = 180 - [ 360 - BDC - BED - (180 - DCE - DEC)] = 180 - [ 360 - 90 -90 - (180 - 13*2)] = 154
P/s: 180 - DCE - DEC = CDE
ok done. Thank to me :>
The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend.
"Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle.
"The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge."
Tim is running extremely late and has just 5 minutes to return his rental car to the agency. The fuel tank in the car is half empty. It was full when he picked it up. (The car has a 12-gallon fuel tank.) He doesn't think he can get gas and get to the agency to return the car in time. Returning the car a day late will result in an extra daily rental charge of $32.00 and refueling the car on his own will cost $2.59 per gallon at the local gas station. Which of the following statements is true?
a.
It would be cheaper to refuel the car and return it a day late.
b.
It would be cheaper to return the car on time and pay the refueling costs.
c.
It would cost about the same to return the car on time without gas or one day late with gas.
d.
Tim is not responsible for refueling the car when he returns it.
PLEASEEEE HELP! MY MOM IS GONNA KILL ME
Answer:
16
Step-by-step explanation:
Since the perimeter of the rectangle is 80, we can set up the perimeter formula:
80=2L+2W=2(3x+3)+2(2x+2)=6x+6+4x+4=10x+10
10x=70
x=7
AB=2x+2=2(7)+2=14+2=16
Answer:
AB= 16
Step-by-step explanation:
2x+2+3x+3=40
Add like terms: 2x+3x= 5x and 2+3=5
New equation: 5x+5=40
Solve: 40-5= 35
35 divided by 5= 7Now we know that x is equal to 7.
2(7)+2= 16
Side DC equals 16.
Side AB has the same length as side DC since it's a rectangle.
Side AB equals 16.
Let's check: 16+16=32 (side DC and side AB)
80-32=483(7)+3= 2424 must be the length of the other sides.
24+24= 48So, when you add all the sides together...
16+16+24+24= 80
You get 80, the perimeter!
I hope this helped!
yo if someone helps me with this ill give u brainliest
Answer:
Step-by-step explanation:
a 15090
b 4255
c dairy heifers and bulls
d 9975/15090
e how many steers there are compared to bulls
Answer:
a) 15,090, addition
b) 4,255, subtraction
c) bulls and beef heifers for breeding
d) 5115/15,090 or 15/90
e) How many more calves are there than steers?
3930
Step-by-step explanation:
A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sold
was 42 less than the number of physics textbooks sold. How many textbooks of each type were sold?
Answer:
105 psychology textbooks. 189 physics textbooks.
For each of the solutions of the equations find two consecutive integers between which the solution is located: x^2=3, x^2=5
The two consecutive integers between which the solution is located are 1 and 2
The two consecutive integers between which the solution is located are 2 and 3
Given the expressions x^2 = 3 and x^2 = 5
For the equation
x^2 = 3
Take the square root of both sides
x = ±√3
x = 1.732
Hence the two consecutive integers between which the solution is located are 1 and 2
For the expression
x^2 = 5
x = ±√5
x= 2.24
The two consecutive integers between which the solution is located are 2 and 3
learn more on roots here:https://brainly.com/question/12501796
Answer:
1. 1,2 2. 2,3
Step-by-step explanation:
(5 1/4−2 1/2)+(6 2/3−3 1/2) plsss help (real answers)
Answer:
5 11/12. hope this helps
Step-by-step explanation:
Answer:
6
Step-by-step explanation: 5 1/4 - 2/12 = 3 6 2/3 - 3 1/2=3 3+3=6
Find the surface area of the sphere.
Answer:
R is 4*Pi*R2
A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
What is its acceleration?
40m/s2
30m/s2
20m/s2
72m/s2
the correct answer whould be 65.62. but that is not a option for you so I dont know. try 72 it's the closest.
I NEED HELP !!!! PLZ HELP ME UNDERSTAND THIS
Answer:
Step-by-step explanation:
1. Complete the problem by using your calculator. Round your answer to three decimal places.
If f(x)=x^3– 7x^2+ 3 find f(-2) and f(3/4)
a. f(-2) = 3 and f(3/4)= 2.728
b. f(-2)= 3 and f(3/4)= 10
c. f(-2)=-33 and f(3/4)=-0.516
d. f(-2)= 7 and f(3/4)= 21
e. f(-2)= 10 and f(3/4)=-0.968
nhing utility Round
Answer:
c.
Step-by-step explanation:
Plug in -2 for x ....
f(x) = -2^3 - 7(-2)^2 + 3
= -8 - 28 + 3
= -36 + 3
= -33
Plug in 3/4 for x ....
f(x) = 3/4^3 - 7(3/4)^2 + 3
= 27/64 - 63/16 + 3
The put in decimals ....
27/64 = .422
63/16 = 3.938
Put the decimals back into the equation ....
= .422 - 3.938 + 3
= -3.516 + 3
= -.516
write the standard form of the equation of the circle with the given characteristics end point of diameter (-4,-1) , (4,1)
Answer:
x² + y² = 17
Step-by-step explanation:
The standard equation of a circle is :
(x -h)² + ( y -k) ²= r², where (h, k) are the a coordinate of the center of the circle and r is the radius of the circle
If the end point of diameter has the coordinates (-4,-1) and (4,1) then the center is at the origin so we have (h= 0, k= 0)
The radius is half of the diameter so is the distance form (0,0) to (4, 1).
We can use Pythagorean Theorem to find r²
r ² = 4²+1² = 17
(x -h)² + ( y -k) ²= r², substitute what we found out
(x -0)² + ( y -0) ²= 17
x² + y² = 17
This is the equation of the circle given characteristics end point of diameter (-4,-1) , (4,1)
During the 2005 football season,team tackle beat team sack by 10 points. If their combinded scores totaled 36 find the individual team scores
Answer:
Step-by-step explanation:
t = tackle score
s = sack score
t = s + 10
t + s = 36
s + 10 + s = 36
2s = 26
s = 13 points
t = 13 + 10 = 23 points
I need the answer and how you done it please
Answer:
x=11/17
Step-by-step explanation:
determine the defined range
11/x 17
11/x =17 then x is canceled out
11=17x
17x=11 dividing both sides
x=11/17
No links please! Which expression has the same value as
Look below
Answer:
-5 1/3 - 3 1/3
Step-by-step explanation
both expressions equal -8 2/3
which number is not a member of the solution set of the inequality 4x ≥ 18
A. 4.4
B. 4.5
C. 4.6
D. 4.7
Answer:
4.4
Step-by-step explanation:
4 (4.4) ≥ 18 does not make sense. 4 x 4.4 = 17.6, which is not more than or equal to 18.
Answer:
Step-by-step explanation:
Create a problem on sum or difference of equal using angles. Then solve
Answer:
ABC
Step-by-step explanation:
how do you find the y intercept on a table
Answer:
y-intercept is 10. The y-intercept is where the line crosses with the y-axis line. The y-axis line is when x = 0.
An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent. O 25% increase 0 33% increase O 12% increase O 75% increase
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today!
We can solve this problem in two steps, one is Comprehending and another is Solving. I'll start off with Comprehending.
Comprehending
We can start off by looking at the problem, it wants us to find the percentage increase from 36 to 48. We can then find difference between 48 and 36; that would be 12.
Now that we know the increase from 36 to 48 is 12. We need to find how much percent 12 is of 36.
Now that we know what we have to do, we can start solving.
Solving
We can solve the problem by setting up and equation, but we can also just use our logic in finding it out.
Since we know that we need to find how much 12 is of 36, we can just solve for that and we will get our answer.
We can do that with one step.
[tex]\frac{12}{36}=0.33[/tex]
Since it is a percent, we can multiply 0.33 by 100 and we get our answer of 33%
which has one solution:
2x + 2y = 180
0.1x + 7y = 78
Help please! Mathematics as a teen isn’t my strong suit
Also, number 15) has4 columns and 6 rows
Answer:
ang masasabi ko lang thans sa points
Step-by-step explanation:
salamat sa pointsmore points to come50 points ulit hathe price of broccoli is $1.25 per pound. let y be the total cost in dollars of buying x pounds of broccoli
which equation represents this situation
a, x=y+1.25
b. y= 1.25x
c. y= x+1.25
d. x= 1.25y
25 points! Help (Vectors)
Answer:
[tex]7\cos(30^{\circ})[/tex]
Step-by-step explanation:
Magnesium has a charge of +2, and chlorine has a charge of –1. To form a chemical bond, how many magnesium ion(s) would the compound have?
A) 0
B) 1
C) 2
D) 3
Find the area of a rectangle with sides measurements 8 inches and 17 inches
Answer:
136 inches or 354.44cm
Step-by-step explanation:
17*8 = 136
Answer:
136 inches
Step-by-step explanation:
17 X 8 = 136 inches