What is the primary function of this body system?
A. The protection of vital organs from injury
B. The chemical breakdown of food into smaller pieces
C. The transport of nutrients, water, and oxygen to body cells
D. The production of hormones that regulate growth and metabolism
A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that is 5% seed to get a mixture that is 40% seed. Tom wants to add 114 grams of the 5% seed, and Sally wants to add 115 grams of the 5% seed mix. What will be the percent of seed if Tom adds 114 grams?
Answer:
Initially, we had:
100 grams of a mixture that is 80% seed, (or 0.8 in decimal form)
This means that the quotient between the mass of seeds and the total mass of the mixture is equal to 0.8
Then the mass of seeds, x, can be calculated as:
x/100g = 0.8
x = 0.8*100g
x = 80g
We also have another mixture, that is 5% seed (or 0.05 in decimal form)
This means that in X grams of this mixture, there will be y grams of seeds, such that:
y/X = 0.05
y = 0.05*X grams
Now, we want to create a mixture that is 40% seeds (or 0.4 in decimal form).
Let's do this.
If we add X grams of the 5% mixture, the total mass will be:
M = 100g + X.
The total mass of seeds will be:
m = 80g + X*0.05
and we want that the quotient between the mass of seeds and the total mass to be exactly 0.4
m/M = 0.4
(80g + X*0.05)/(100g + X) = 0.4
Let's solve this for X.
(80g + X*0.05) = 0.4*(100g + X)
80g + X*0.05 = 40g + X*0.4
80g - 40g = X*0.4 - X*0.05
40g = X*0.35
40g/0.35 = X = 114.2g
If we want the mixture to be exactly 40% seeds, we need to add 114.2g of the 5% mixture. (We already can see that Tom is closer to the exact result than Sally)
If we add 114g, like Tom wants, we will have:
M = 100g + 114g = 214g
m = 80g + 0.05*114g = 85.7g
m/M = 85.7g/214g = 0.4005
This is a really good aproximation, if we write this in percentage form this would be:
0.4005*100% = 40.05%
The name of every student taking Algebra was listed alphabetically and numbered. The teacher uses
an arithmetic sequence to call on students. The numbers of the first 3 students are listed below.
What will be the number of the 25th student chosen?
9,6, 3...
Answer:
The number will be -63
Step-by-step explanation:
Here, we want to give the number of the chosen 25th student
We can see that the numbering follows an arithmetic sequence where a = 9 and d which is the common difference is (6-9) = -3
Mathematically, we can calculate the nth term using the equation below;
Tn = a + (n-1)d
in this case, n = 25, a = 9 and d = -3
So we have
Tn = 9 + (25-1)-3
Tn = 9 -3(24)
Tn = 9-72
Tn = -63
Round 347−−−√ to the nearest hundredth.
Answer:300
Step-by-step explanation:
Simplify each expression by combining like terms.
7a - 6 + 8a
=7a - 6 + 8
=7a + 8a - 6 =15a - 6
The LSN basketball team had 292 fans at a game. Adults paid $3.00 to get in and students paid $2.00. A total of $756.00 was collected. Write and solve a system of equations to determine the number of each type of ticket sold, use x to represent Adult tickets and y to represent Student tickets.
write an equation-
adult tickets sold-
child tickets sold-
Answer:
x (378) + y (378) =
Step-by-step explanation:
First i split 756.00 in half so basically what ever is multiplied by two to get 756 and i got 378. So since x = 3.00 and y = 2.00, it would come out to this:
3.00 x 378 = x (378) =
2.00 x 378 = y (378) =
So:
x (378) + y (378) =
im sorry if i got it wrong-
there are 40 black balls this is 4 more than twice the number of yellow balls how many yellow boll are there
Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers. The number of yellow balls is 36.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given there are 40 black balls this is 4 more than twice the number of yellow balls. Therefore, we can write,
Number of black balls = Number of yellow balls + 4
40 = Number of yellow balls + 4
Number of yellow balls = 36
Hence, the number of yellow balls is 36.
Learn more about Addition:
https://brainly.com/question/13167637
#SPJ2
The diameter of a wheel of a car is 0.75 m. if the car travels at an average speed of 14 m/s, find the
number of revolutions made by the wheel per minute, giving your answer correct to the nearest
whole number.
Step-by-step explanation:
Circumference of wheel = πd = 0.75πm.
How far the car travels per minute
= 60s * (14m/s) = 840m.
Hence number of revolutions per minute
= 840m / 0.75πm
= 356.507....
= 357. (nearest whole number)
hw, can i get some help with this one? if you can, i’d appreciate an explanation on how you got the answer please :)
State whether the equation represents a linear or a nonlinear function. Explain y=7(x--8)
Answer: Is this for nine grade
Step-by-step explanation:
Please Help
What is the solution for x in the equation?
9 − 10x = 2x + 1 − 8x
Answer:
x=2
Step-by-step explanation:
I got 15, but apparently it isn’t the right answer. Help please!
A pack of 4 t-shirt costs $5. What is the unit price for a t-shirt?
4x5 = 20 , maybe it would be $20?
How many solutions does the system have?
y = 5 + 6x
y = 6x + 5
Choose 1 answer:
A Exactly one solution
B No solutions
C Infinitely many solutions
what is. the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?
Answer:
x=2
Step-by-step explanation:
We first distribute this. So we have 15x-10 = 10 + 6 +2x.
Then we move the variable to one side and have 13x= 10+10+6
Simplify to get 13x = 26.
x=2
1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%
Martin still has 30% of the problems left to do.
Answer:
D)30%
Step-by-step explanation:
help me: [tex]\int\limits^\pi _0 sin({x}) \, dx[/tex]
Answer:
[tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]
Step-by-step explanation:
To solve for the value of [tex]\int^{\pi}_{0}sin(x)dx[/tex], we need to first find the antiderivative of [tex]sin(x)[/tex].
Since the derivative of [tex]cos(x)[/tex] is [tex]-sin(x)[/tex], therefore the derivative of [tex]-cos(x)[/tex] is [tex]sin(x)[/tex]. With this:
[tex]\int^{\pi}_{0}sin(x)dx = -cos(\pi)-(-cos(0))[/tex]
[tex]=-cos(\pi)+cos(0)[/tex]
[tex]=-(-1)+1[/tex]
[tex]=2[/tex]
∴ [tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]
Hope this helps :)
What is the average rate of change of f(x)=x²+4x+4 from x=1 to x=3?
Answer:
F(3) - F(1) / (3-1)
(3^2 + 3*4 + 4) - (1^2 + 1*4 + 4) / (2)
(9+12+4) - (1+4+4) / (2)
(25)-(9)/(2)
(16)/(2)
8
Step-by-step explanation:
Alonzo is making apple tarts for a party. He needs 3 apples for every 8
tarts. How many apples does he need if he wants to make 40 tarts?
(A) 18 apples
(B) 15 apples
(C) 12 apples
(D) 10 apples
Answer:
15
Step-by-step explanation:
so the amount for apples are 3 for 8.so if you multiply 8 x 5 it is 40.3 is for 8 and there is the answer
2-0
No
125/x?
Solve for variables
10 x 1 =10 0 x 0 =90 grorgi6
can anyone please help!!!
Answer:
Question 9
(a) The distance, Jalaj walks in one day is 4.4 km
(b) The amount Jalaj raises after walking for 22 km at the end of the 5 days is $8
Question 10
(b) The difference between the largest and smallest areas is 2,400 m²
Step-by-step explanation:
Question 9
(a) The distance Jalaj walks in 5 days = 22 km
Whereby Jalaj walks equal distance every day, we have;
The distance, Jalaj walks in one day = 22 km/5 days = 4.4 km/day
The distance, Jalaj walks in one day = 4.4 km
(b) The amount he raises for every kilometer he walks = $1.60
The amount he raises after walking for 22 km at the end of the 5 days = 5 × $1.60 = $8
Question 10
(b) The given side length of the square = 120 meters to the nearest 10 meters
Therefore;
The maximum dimension for the side length of the square = 120 + 10/2 = 125
The largest possible area of the square, [tex]A_l[/tex] = 125 m × 125 m = 15,625 m²
The minimum dimension for the side length of the square = 120 m - 10 m/2 = 115 m
The smallest possible area of the square, [tex]A_s[/tex] = 115 m × 115 m = 13,225 m².
The difference between the largest and smallest areas, [tex]A_l[/tex] - [tex]A_s[/tex] = 15,625 - 13,225 = 2,400 m².
=
105 min
game
?hr.
game
Help please
Answer:
105 minutes= 1 hour and 45 minutes
Answer:
1 hour and 45 minutes
or
1.75 hours
I've been stuck on this for like 20 minutes ;-;
Answer:
3+2
Step-by-step explanation:
Answer:
3+2
Step-by-step explanation:
Billy wants to buy a $1250 drum set and the
music store has a deal where you can take it
home today for a 20% down payment and
then 3 years of monthly payments. How
much money will Billy need in order to make
the down payment?
..
Answer:
LOL i don't even know
Step-by-step explanation:
I need help setting the proportion !!!! ASAP
Answer: That looks like work what are u trying to find
Step-by-step explanation:
The solution of absolute value equation I x - 4 | =6 is...
GO ACROSS!!! Plz help
PLZZ HURRY!!!
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
AngleJ = 90° AngleJ' = 90°
AngleK = 65° AngleK' = 65°
AngleL = 25° AngleL' = 25°
Which statement is true about this transformation?
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
It is not a rigid transformation because the corresponding side lengths are not equal.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.
Answer:
It’s the third option
Step-by-step explanation:
They preserved the angles
Answer:
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
Step-by-step explanation:
edge 2020
Solve the system by elimination. . 4x-9y=-21 , -4x-3y=9
For what value of the variable is each of the following fractions equal to zero: 2y +3/10
I think its 3/10=0.3
2×(-0.15)= -0.3
and -0.3+0.3=so variable value is -0.15
Answer:
2×-1,5+3
Step-by-step explanation:
Hope this helped have an amazing day!