1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
padilas [110]
3 years ago
13

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?
Mathematics
1 answer:
marta [7]3 years ago
8 0

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%

You might be interested in
Analyze the following pattern 1,2,5,10,7
vodka [1.7K]

Answer:

an + 1 = an + 2n -1 ,a 1=1

a8= 50

Step-by-step explanation:

an+1=an+2n-1,a1=1

a6=a5+2x5-1

a6=26

a7=26+11

a7=37

a8=37+13

a8=50

6 0
3 years ago
Ruth is knitting hats to sell at a local fair. The booth costs her $63 and the materials for each hat cost $10. She plans on sel
aev [14]

Answer: Ruth have to make 7 hats to break even.

Step-by-step explanation:

Break even point is a point where Cost = Revenue.

Let x be the number of hats sold.

Given: Cost of booth = $63

Each hat cost = $10

Selling price for each cost = $19

As per given,

Total cost = Cost of booth+ (Cost of each hat)(Number of hats)

= 63+10x

Total selling price = 19x

For break even,

63+10x=19x

9x=63

x=7

Hence, Ruth have to make 7 hats to break even.

7 0
3 years ago
You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the grou
zhenek [66]
A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.

If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft

Therefore, the house is 12.20 ft tall
4 0
3 years ago
Solve for x: 0.008 - 0.02x = 0.03 Then evaluate: x^2 + x + .89 =
s344n2d4d5 [400]
E. none of them         hope I helped
5 0
3 years ago
What is the slope of the line in the graph?
goldfiish [28.3K]
The slope is 2 I checked
7 0
3 years ago
Other questions:
  • On a busy day you clock into work at 6:45 am. You clock out for lunch at 12:30 pm. how long did you work before lunch
    7·1 answer
  • Prove that (1+sin2x)/(1-sin2x)=cot^2(x-pi/4)
    11·1 answer
  • |z−7|−|z−9| , if z&lt;7?<br> Write without absolute value
    5·1 answer
  • Marking brainliest <br><br> Is this a good start for my argumentative essay against animal testing?
    11·2 answers
  • ما النتائج المترتبة على :-<br> ١- الاحتلال البريطاني لمصر.
    6·1 answer
  • Evaluate the following equation for the given x value. Round your answer to
    9·1 answer
  • HELP I WILL MARK U BRAINEST what is (29/59)*(42/24)<br> btw / means divide
    12·2 answers
  • A number is chosen at random from 1 to 25. Find the probability of selecting
    5·1 answer
  • Helpp i’ll give 20 points !!
    5·1 answer
  • Solve. Use the discount equation
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!