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

Terry the plumber charges a base fee of $40 for each visit to someone's home plus $25 each hour for
labor. When Kathy received her bill after he came to fix a leak in her sink, the total charge was $152.50.
How many hours did Terry work on Kathy's sink?

Answers

Answer:

4.5 hours

Step-by-step explanation:

Simplify:
24 ÷ 4 × 3 - 6 × 5
A. -28
B. -12
C. 60
D. -20​

Answers

Answer:

Ameliorate retort, pertaining to reinstating interrogate is B., -12.

Step-by-step explanation:

Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:

Groups: Not identified.Exponents: Not identified. Multiplication/ Division: 6 · 3 - 6 · 5 ⇒ Addition/ Subtraction: 18 - 30 = -12

- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.

*Hope this helps.

HELP PLEASE ASAPPP I WILL GIVE BRAINLIEST

Answers

Answer:

Corresponding angles converse theorem

Step-by-step explanation:

If two lines (AB and CD) are intersected by a transversal (BD) and corresponding angles are congruent (∠B ≅ ∠D), then the lines are parallel.

Answer:

Corresponding angles converse theorem

Step-by-step explanation:

If two lines (AB and CD) are intersected by a transversal (BD) and corresponding angles are congruent (∠B ≅ ∠D), then the lines are parallel.

If a relation has more numbers in its range than in its domain, what has to be true?

Answers

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

Which of the following system of inequalities is the graph below?


HELP ME PLEASE !!!

Answers

Answer:

2nd answer choice

Step-by-step explanation:

First, you see which inequalities are represented in the graph. When doing this,  I just temporarily the signs to equal signs so just basically ignore the inequalities. Then, when you find the ones with the right numbers, you can worry about the inequalities. Remember that greater than is always the side where the y values increase and less than is always where the numbers on the y axis decrease. Also, pay attention to the equal than sign. If it has a line under the sign, the line has to be solid while if there is no line, then it is dashed. In this problem, The first equation represents the dashed line and the second is the solid line.

I need help with this question yeah i know i am spamming but i have to get this done or my mom will make me live with my dad!!!1!!!!!

Answers

Your answer is 108!!! Brainliest plzzzzz!!!!

What is a real estate investment group?
a. A collection of investors who pool their resources in order to purchase and manage property
for a profit.
An investment trust which uses investors' money to purchase property, which it then manages
in the investors' stead.
A category of real estate, such as "houses' or "apartment buildings."
A set of several properties purchased all at once.
b.
c.
d.

Answers

Answer: a. A collection of investors who pool their resources in order to purchase and manage property  for a profit.

Step-by-step explanation:

The real estate investment group can be defined as the group of investors who purchase a common property to manage it and use it for obtaining profit. It refers to the entity which mainly focuses on the real estate. The real estate investors for the sake of profits they choose to purchase, sell, renovate and finance the properties on large or small scale.

Solve for x. Show all your work:
Solve the equation by typing out the correct steps of the equation.
2x + 3 + 4x = 6x + 3
x =

pls i need to know before 1

Answers

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

2x + 3 + 4x = 6x + 3

Step 2: Solve for x

Combine like terms:                   6x + 3 = 6x + 3Subtract 3 on both sides:           6x = 6xDivide 6 on both sides:              x = x

Here we see that x does indeed equal to x.

∴ x = infinite amount of solutions.

2x + 3 + 4x = 6x + 3

Combine the like terms on the left side

2x + 4x = 6x

6x + 3= 6x + 3

Subtract 3 from each side

6x = 6x

Divide each side by 6

x = x

No matter what x is, they are the same. It has infinite solutions.

random............... ​

Answers

The greatest common factor is 7 because both numbers are divisible by 7 and it’s the highest number they are divisible by
the answer is 7.

14 is only divisible by 1,2,7 and itself.
49 is only divisible by 1,7 and itself

The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?

Answers

Answer:

A 33 degree change

Step-by-step explanation:

67-34=33

Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?

Answers

Step-by-step explanation:

1st digit : 1 / 2 / 4 / 5

4th digit : 0 / 2 / 4 / 6 / 8

Total number of sets = 4 * 10 * 10 * 5 = 2000.

Write 12 1/3 as an improper fraction.

Answers

Answer: 37/3

Step-by-step explanation:

12 1/3 = 12*3+1/3 = 37/3

Answer:

[tex]\frac{37}{3}[/tex]

Step-by-step explanation:

[tex]12\frac{1}{3}[/tex]

When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:

[tex]12*3=36[/tex]

Then, add the numerator the the product:

[tex]36+1=37[/tex]

Now, put the sum over the denominator to get your solution:

[tex]\frac{37}{3}[/tex]

-

To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with [tex]12\frac{1}{3}[/tex].

Divide [tex]37[/tex] into [tex]3[/tex]:

[tex]12[/tex] with a remainder of [tex]1[/tex]

Put the remainder over the denominator:

[tex]12\frac{1}{3}[/tex]

Therefore, our solution is correct!

What is the solutions of the following system of equations.

y = -2x + 2

y = x - 1

Answers

Answer:

x = 1, y = 0

Step-by-step explanation:

Given the 2 equations

y = - 2x + 2 → (1)

y = x - 1 → (2)

Substitute y = x - 1 into (1)

x - 1 = - 2x + 2 ( add 2x to both sides )

3x - 1 = 2 ( add 1 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting into (2)

y = 1 - 1 = 0

Solution is (1, 0 )


Can someone really help me :(

Answers

Area of triangle:

A= 1/2*b*h

=  1/2 *(29)* (19)

= 1/2 *(551)

= 275.5 in^2

Area of rectangle:

A= l * w

= (29) * (10)

= 290 in^2

Total Area:

275.5 + 290 = 565.5 in^2

Hope this helps! Have a great day :)

Answer:

565.5 in

Step-by-step explanation:

The area for a rectangle is A = lw

So A = (29)(10)

A = 290

The area for a triangle is A = 1/2bh

So A = 1/2(29)(19)

A = 1/2(551)

A = 275.5

You combine the two numbers to get a total area of 565.5 in

please help with the question and explanation for the answer, please

Answers

Answer:

B

Step-by-step explanation:

to find the percentage, put 200 (electricity and cable) over 2500 (monthly budget) and multiply it by 100. So 200/2500 * 100/1. Hope that helps

117. State whether the answer is greater than i or less than ​

Answers

Hope this might help u

Answer:

1) greater than

2) less than

3) greater than

4)less than

5) greater than

6) greater than

Step-by-step explanation:

SOMEONE PLS HELP ME PLS ITS DUE TMRW

Answers

A) 11.5x + 1 = 94
This is because 5.5x + 6x equals 11.5x and 2.5 - 1.5 = 1.

B) x = 8
11.5x + 1 = 94
-1 -1
11.5x = 93
93/11.5 = 8

C) 42.5 by 50.5
5.5(8) - 1.5 = 42.5
6(8) + 2.5 = 50.5

How many adult tickets were sold if each adult ticket sold was $6 and each student ticket was $4.50 and 260 tickets were sold for a total of $1404?

Answers

Answer:

   Adult tickets sold:   156

Step-by-step explanation:

   Adult ticket:   x

Student ticket:  y

x + y = 260                  ===>   -6(x + y = 260)     ===>  -6x -6y = -1560

6x + 4.5y = 1404         ===>                                           6x + 4.5y = 1404

                                                                                  ________________

add the two equations to eliminate a variable:                  -1.5y = -156

divide by -1.5:                                                                              y = 104

substitution to find x:

      x + y = 260

  x + 104 = 260

            x = 156

Which of the following quadrilaterals are similar?

Answers

Answer:

I believe its the last one

Answer:

the last one.

Step-by-step explanation:

HELP MEEEE PLEASE i don't know how to do this

Answers

Answer:

5 hours

Step-by-step explanation:

35x+25 = 40x

25=5x

x= hours

(x-10)-(x-20)

simplify this

Answers

Answer:  10

=======================

Work Shown:

(x-10)-(x-20)

x-10-x+20

(x-x)+(-10+20)

0x+10

0+10

10

This will simplify to 10.

Find the measure of the angle indicated

Answers

Answer:

60° and 67°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(49)

17x + 8 is an exterior angle of the triangle, thus

17x + 8 = 50 + 10x ( subtract 10x from both sides )

7x + 8 = 50 ( subtract 8 from both sides )

7x = 42 ( divide both sides by 7 )

x = 6

Thus

∠ C = 10x = 10(6) = 60°

(50)

99° is an exterior angle of the triangle, thus

2x + 10 + 6x + 1 = 99 , that is

8x + 11 = 99 ( subtract 11 from both sides )

8x = 88 ( divide both sides by 8 )

x = 11

Thus

∠ T = 6x + 1 = 6(11) + 1 = 66 + 1 = 67°


[tex]what \: is \: the \: radius \: 11 \sqrt{2(9.8) r} [/tex]

Answers

Answer:

radius r = 9.8 m

base circumference C = 61.575216 m

volume V = 1971.22792 m3

curved surface area A = 603.437117 m2

base surface area B = 301.718558 m2

total surface area K = 905.155675 m2

What is the answer here?

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

The coefficient of 5/4 in the given equation tells you that you are looking for a table or graph that has a y-increase of 5 for each x-increase of 4.

Graph D is the one.

__

Let's look at the choices:

  A: y increases for an x-increase of 4

  B. y increases 16 (from -7 to 9) for an x-increase of 4 (from -2 to 2)

  C. y increases -5 (from -9 to -14) for an x-increase of 4 (from 4 to 8)

  D. y increases 5 (from -2 to 3) for an x-increase of 4 (from -4 to 0)

help meh for points pleasee

Answers

Answer:

the answer is 43

Step-by-step explanation:

9. The diameter of the Earth is 7899.83 miles from the North Pole to the South Pole and 7926.41 miles from opposite points at the equator.
a. Find the approximate surface area of Earth using each measure.
b. About 75% of Earth's surface is covered by water. Find the surface area of water on Earth, using the diameter of the Earth is 7926.41 miles from opposite points at the equator.​

Answers

Answer:

a. The approximate surface area of the Earth based on the diameter of the Earth measured from the poles is approximately 1.961 × 10⁸ mi²

The approximate surface area of the Earth based on the diameter of the Earth measured from the equator is approximately 1.974 × 10⁸ mi²

b. The surface area of the water on Earth using the diameter of the Earth measured from opposite points of the equator is approximately 1.480 × 10⁸ mi²

Step-by-step explanation:

The given parameters are;

The diameter of the Earth measured from the North to the South pole, [tex]D_p[/tex] = 7899.83 miles

The diameter of the Earth measured from (across) opposite points of the equator, [tex]D_e[/tex] = 7926.41 miles

a. The surface area, [tex]A_E[/tex], of the Earth, taking the Earth as a perfect sphere, is given as follows;

A = 4 × π × r²

Where;

r = The radius of the sphere = 1/2 × the diameter of the sphere

For the diameter measured from poles, [tex]r_p[/tex] = [tex]D_p[/tex]/2 = (7899.83 miles)/2 = 3949.915 miles

The approximate surface area of the Earth based on the diameter of the Earth measured from the poles, [tex]A_{Ep}[/tex] = 4 × π × (3949.915 miles)² = 196058359.283 mi² ≈ 1.961 × 10⁸ mi²

For the diameter measured from equator, [tex]r_e[/tex] = [tex]D_e[/tex]/2 = (7926.41 miles)/2 = 3963.205 miles

The approximate surface area of the Earth based on the diameter of the Earth measured from the equator, [tex]A_{Ee}[/tex] = 4 × π × (3963.205 miles)² = 197379906.233 mi² ≈ 1.974 × 10⁸ mi²

b. The percentage of the surface area of the Earth covered by water ≈ 75%

The surface area of water on Earth using the diameter of the Earth = 7926.41 miles (the diameter measured from the equator), we have;

The area of the Earth with a diameter of 7926.41 miles was given as  [tex]A_{Ee}[/tex] = 4 × π × ((7926.41 miles)/2)² = 197379906.233 mi²

The surface area of the water on Earth = 75% × The area of the Earth = 75/100 × 197379906.233 = 148034929.675 mi² ≈ 1.480 × 10⁸ mi²

write 15% as a fraction step by step

Answers

Answer:

15/100

Step-by-step explanation:

15% is out of 100% so when writing it into a fraction it is 15 over 100, because 15% is out of 100%

Hint:If you want to put it into a decimal it will be 0.15 so when turning it into a fraction, the 1 is in the tenths place and the 5 is in the hundredths place.

Leo can run a mile in 7.45 minutes. At that rate, how long would it take for him to run a marathon (we let a marathon equal 26.2 miles)?

Answers

multi subs AND THIS AND THAT AND THIS AND THAT

Answer:

195.19 min

Step-by-step explanation:

7.45 x 26.2 = 195.19

Joanna is 152cm tall .Kristal is 8cm shorter what is the sum of heights.​

Answers

Answer:

296 cm

Step-by-step explanation:

Joanna is 152cm tall

Kristal is 152 - 8 =  144 cm

The sum of the heights is

152 + 144 =296 cm

I NEED HELP! what shape is symmetry ?

Answers

Answer:

E, the heart

Step-by-step explanation:

Answer:

The heart

Step-by-step explanation:

It is able to flip and still look the same

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