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?

Answers

Answer 1

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%


Related Questions

Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?

Answers

Here is an example for your question



Average with respect to what? If we take the time-weighted average, the two legs of the trip will be weighted differently (the leg from A to B taking 60/40 = 3/2 times as long as the leg from B to A), and we will get an average of 48 MPH.

But the time-weighted average is not the only average we can consider. We could also consider the distance-weighted average (which might be useful if we were considering, say, the wear on the road caused by such travel); then the two legs would be weighted equally and the average would be 50 MPH.

Often, when people speak about average speed, it's the former of these notions which is implicitly meant (since speed itself is distance over time, we have the nice property that the time-weighted average of speeds will always be the total distance over the total time), but the latter is a perfectly legitimate notion as well. Averages are always averages with respect to some weighting, and different weightings will give different averages.

Answer:

         41 mph

Step-by-step explanation:

s₁ = s₂ = x       {the distance from A to B}

s = s₁ + s₂ = x + x = 2x      {the distance of the round trip}

t = t₁ + t₂               {the time of the round trip}

v₁ = 30 mph      

v₂ = 65 mph

t₁ = s₁/v₁ = x/30 h       {the time of trip from A to B}

t₂ = s₂/v₂ = x/65 h      {the time of trip from B to A}

The average speed:

[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]


There were 24 boys and 20 girls in a chess club last year. This year
the number of boys increased by 25% but the number of girls
decreased by 10%.
Find the overall percent change in membership of the club.
10

Answers

Answer:

35%

Step-by-step explanation:

If you take the amount of percent the girls decreased, and the amount the boys increased in percentages, you will have your answer when just adding them together. So the answer is 35% or as in 6 boys joined and 2 girls left. So that gives you a total of 8 joining or leaving the chess club or 35% difference.

^^^ this too please

Answers

I believe the measurement of CD is 90 degrees

Consider the following system of equations

-2x+5y=19
Y=-5/6x-1/6

Use this graph of the system to approximate its solution

A. (13/4,-5/2)

B. (-5/2,13/4)

C. (-13/4,5/2)

D.) (5/2,-13/4)

Answers

Answer:

C

Step-by-step explanation:

We have the system of equations:

[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]

And we want to use the graph to approximate the solution to the system.

Remember that, graphically, the solution to a system of equations is where the two graphs intersect.

We can see that the point at which the two lines intersect is in QII.

Hence, x is negative and y is positive.

The only choices that satisfies these conditions are B or C.

However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.

Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.

So, our final answer is C.

What is gross income? Gross income is money earned before taxes are taken from a paycheck. Gross income is money earned after taxes are taken from a paycheck. Gross income is money paid to fund firefighters and police officers. Gross income is money paid for taxes.

Answers

Answer:

Gross income is money earned before taxes are taken from a paycheck

Step-by-step explanation:

Gross income is money earned before taxes are taken from a paycheck

Gross income refers to the total amount of money earned by an individual over a specific period of time usually a year before any deductions such as taxes is made.

Gross income includes income earned from all sources. It can also be called Gross pay on a paycheck.

For example, if an individual earns $100 in a year and is expected to pay a tax of 2%. The gross income is $100 before tax is deducted

Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0

Answers

Answer:

x=1/2 or x=−1

Step-by-step explanation:

The solution to the quadratic equation is x = -1 or 1/2

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + x - 1 = 0   be equation (1)

And , roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

On simplifying , we get

x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4

x =  [ -1 ± √ ( 1 + 8 ) ] / 4

x = [ -1 ± 3 ] / 4

So , the two values of x are

x = ( -1 - 3 ) / 4

x = -1

And , x = ( -1 + 3 ) / 4

x = 1/2

Therefore , the values of x are -1 or 1/2 respectively

Hence , the roots of the quadratic equation are -1 or 1/2 respectively

To learn more about quadratic equations click :

https://brainly.com/question/25652857

#SPJ7

A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.

Answers

Answer:

30 angels

Step-by-step explanation:

Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)

Answers

The answer is 3(5x+1)
It is 3(5x + 1). Multiply 3 with 5 and multiply 3 with 1, then you will get 15x + 3

Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!

Answers

Answer:

A or the first one

Step-by-step explanation:

Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly

Tanner measured the rate of oil draining from a tank. His measurements showed that the relationship betwđen the height (in inches) of the oil in the tank, h,
and the time in minutes) that the oil was draining, t. could be modeled by the equation h = 8 -0.25t.
According to the model, how long will the oil need to drain for the height to decrease by 1 inch?
0.25 minutes
1 minute
4 minutes
8 minutes

Answers

Answer:

8

Step-by-step explanation:

just fill in the blanks pls tyy

Answers

Sowwy I do not know

I hope you have a good day tho

Geometry Question:

Find the value of x that makes N the incenter of the triangle (See attached)

Answers

Answer:

.5 or 1/2

Step-by-step explanation:

Y^2x 24^2=25^2

Y=7

7=14x

x=.5

The value of x is 0.5.

The calculation is as follows:

Here we use Pythagoras Theorem

[tex]Y^2 - 24^2=25^2[/tex]

Y=7

Now  

7 = 14x

So, x=.5

Therefore we can conclude that The value of x is 0.5.

Learn more: brainly.com/question/17429689

11. A loading crew estimates that it can load 8 boxes in 20 minutes. At this rate,
how many boxes could it load in 1 hour?

Answers

okokokokokokokokokok

Answer:

24

Step-by-step explanation:

If 20 × 3 = 60 which is an hour then you do 8 × 3 = 24.

So 24 boxes


Select the correct answer.
Consider these functions:
f(x) = 2x^3+3
g(x) =x- 4
What is the value of g(f(x))?

Answers

Answer:

A. 2x³ - 1

General Formulas and Concepts:

Algebra I

Composite Functions

Step-by-step explanation:

Step 1: Define

f(x) = 2x³ + 3

g(x) = x - 4

Step 2: Find g(f(x))

Substitute:                      g(f(x)) = (2x³ + 3) - 4Simplify:                          g(f(x)) = 2x³ - 1

How much time will it take for an amount of ₹9000 to yield ₹810 as interest at 4.5 % per annum of simple interest?
[Irrelevant answers will be reported]​

Answers

Answer:

2 years

Step-by-step explanation:

Let us take the time period be t .

And , we know formula of SI as ,

[tex]\boxed{SI = \frac{PRT}{100}}[/tex]

[tex]\implies Rs 810 = \dfrac{Rs 9000 \times 4.5 \times t }{100}\\\\\implies t = \dfrac{810 \times 100 }{9000\times 4.5 } \\\\\underline{\boxed{\red {\implies Time = 2 \ years }}}[/tex]

Help Will give crown

Answers

Answer:

a) x=3

y=6*3+4

=22

b) x=4

y=6*4+4

=24

c) x=6

y=6*6+4

=40

d) x=7

y=6*7+4

=46

Hope it will help you......

Which of the tables represents a function?


Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4








Table A
Table B
Table C
Table D

Answers

Answer:

table b i think

Step-by-step explanation:

Matt's saving account balance went from $325 at the beginning of the month to $195 at the end of the month. What was the percent of decrease?

Answers

Answer:

60%

Step-by-step explanation:

yes

1 - 3x = 3x + 1 solve for x

Answers

Answer: x = 0

Step-by-step explanation:

1 - 3x = 3x + 1

then add 3x on both sides

1 = 6x + 1

then subtract 1 on both sides

0 = 6x

then divide by 6 on both sides

0 = x

so x = 0

Answer:

x would be unknown bc there wouldnt be an answer since

1-3x=3x+1

if we take away 1 forom both sides were left with -3x=3x and it would be 6x if we combined them which can be possible bc it would be nothing = 6x if that makes sense

Step-by-step explanation:

can someone explain

Answers

Answer:

K = -2

Step-by-step explanation:

K represents the y-intercept, which is where the line crosses the y axis. We can see from the y = -4x -2, that -2 is the y-intercept, because in y =  mx + b, b is the y -intercept.

~theLocoCoco

1: A man owns 50 shares of stock worth $30 each. The corporation declared a dividend of 6% payable in stock. How many shares did he then own?

Answers

Answer:

53 shares

Step-by-step explanation:

Calculation for how many SHARES did he then own

Using this formula

Numbers of shares=[ (Dividend percentage payable in stock ×Shares of stock)+Shares of stock]

Let plug in the formula

Numbers of shares= [(.06 x 50 shares)+50 shares]

Numbers of shares= 3 + 50 shares

Numbers of shares = 53 shares

Therefore How many shares did he then own is 53 shares

Solve for x: 10(x + 1) = 2x - 7

Answers

Answer:Simplifying

x = -2.125

Step-by-step explanation:Add '-10' to each side of the equation.

10 + -10 + 8x = -7 + -10

Combine like terms: 10 + -10 = 0

0 + 8x = -7 + -10

8x = -7 + -10

Combine like terms: -7 + -10 = -17

8x = -17

Divide each side by '8'.

x = -2.125

Simplifying

x = -2.125

Answer: x=-17/8


First, distribute the 10

10x + 10 = 2x - 7

Next, move the x-values to one side

8x = -17

Now, isolate the x by dividing both sides by 8

x = -17/8

BASED ON THE GRAPH, WHICH STATEMENT IS CORRECT?

Answers

Answer:

i would go for a but im not really sure. sorry if incorrect

Step-by-step explanation:

the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle

Answers

Answer:

l = 31 cm

w = 27 cm

Step-by-step explanation:

l = w + 4

p = 2l + 2w

p = 2(w+4) + 2w

116 = 2(w+4) + 2w

116 = 2w + 8 + 2w

116 = 4w + 8

108 = 4w

27 = w

l = w + 4

l = 27 + 4

l = 31

hope this helps, pls mark brainliest :D

Answer:

w=18 L=40

Step-by-step explanation:

 w

---------

|         |

|         | 2w+4

|         |

---------

2(2w+4)+ 2(w)=116

6w+8=116

6w=108

w=18

2(18)+4

36+4

40

Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8

Answers

Answer:

-8

Step-by-step explanation:

3/4x=-18+12

x=-6×4/3

x=-8

Answer:

x = -8

Step-by-step explanation:

[tex] \frac{3}{4} x - 12 = - 18[/tex]

i) multiply both sides of equation with 4

[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]

[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]

[tex]3x - 48 = - 72[/tex]

ii) move -48 to the right-hand side and change its sign

[tex]3x = - 72 + 48[/tex]

iii) calculate the sum

[tex]3x = - 24[/tex]

iv) divide both sides of equation with 3

[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]

[tex]x = - 8[/tex]

Los animales ______ al río. (2 points)
A eran B estudiaban C tomaban D iban

Answers

the answer is D :)!!
I really don’t know what that’s says but I will just with the person who did it first

Which fraction is not equivalent to 9/12
PLEASE HURRY

Answers

Answer:

1/2

1/2 = 50%

9/12 = 75%

Step-by-step explanation:

im struggling :(((((((((((

Answers

Answer:

Step-by-step explanation:im sorry im only 11

Write a function rule.

y is 9 less than the product of 8 and x.

Answers

Answer:

dumyemimynumifgmfdhum

help i need the answer

Answers

Answer:

the first one

[tex].5x+10\geq .25x+15[/tex]

Step-by-step explanation:

They want to know how much I will take for the amount they have read to be the same. So that automatically crosses out the last one. They asking you to subtract anything so that crosses the third one out. The second option has the number of pages the both read first switched so that crosses that one out.

I hope this explanation was helpful.

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