The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $ 6 per pound with some Orange Pekoe tea that sells for $ 4 per pound to get 300 pounds of the new blend. The selling price of the new blend is to be $ 4.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?

Answers

Answer 1

75 lbs of Earl Grey 225 lbs of Orange Pekoe Some definitions. E = number of pounds of Earl Grey (300-E) = number of pounds of Orange Pekoe Expression for selling price of new blend P=300*4.5 "there is to be no difference in revenue from selling the new blend versus selling the other types." so P = 6E + 4(300-E) Set them equal to each other, then solve for E 300*4.5 = 6E + 4(300-E) 1350 = 6E + 1200 - 4E 150 = 6E - 4E 150 = 2E 75 = E So 75 lbs of Earl Grey was used and 300-75 = 225 lbs of Orange Pekoe

Related Questions

I need help with this problem I'm not that good in math

Answers

1/5(15x-20) = 1/3(12x-9)

multiply the 15 and 20 on the left by 1/5 to get

3x-4

now multiply 12 and 9 by 1/3 to get

4x-3

now you have 3x-4 =4x-3

now solve for x

3x-4 =4x-3

subtract 3 x from each side:

-4 = x-3

add 3 to each side

-1 = x

x = -1

Solve the formula for the specified variable
V=BMU for B

Answers

The answer is V / MU = B.

You have 120 pieces of fabric to make a blanket. Each piece is a square with a side length of 6 inches. You can use as many pieces as possible to create a square blanket.
What is the area of the blanket?
How many pieces of fabric are left over?
How many more pieces of Gabriel would you need to increase the size of the blanket?

Answers

3600 inches squared, 20 and 1

Iris charges a fee for her consulting services plus an hourly rate that is 1 1/5 times her fee. On a 7-hour, Iris charged $470. What is her fee and her hourly rate?

Answers

let's say she charges "x" for her consulting services.

so. she charges then for every hour 1 1/5x. First let's convert that mixed fraction to "improper" and check what is "x". Bearing in mind that, the 470 is for 7 hours of work, but the hourly rate only applies to the 1 1/5x, NOT the fixed consulting fee rate.

[tex]\bf x+7\left( 1\frac{1}{5}x \right)=470\implies x+7\left( \cfrac{1\cdot 5+1}{5}x \right)=470 \\\\\\ x+7\left( \cfrac{6}{5}x \right)=470\implies x+\cfrac{42x}{5}=470\implies \cfrac{5x+42x}{5}=470 \\\\\\ 5x+42x=2350\implies 47x=2350\implies x=\cfrac{2350}{47}\implies \boxed{x=50}[/tex]

what's her hourly rate? well (6/5)x

F = Fee
F + 7(11/5)F = 470
5F + 77F = 2350
F = $28.66
Hourly rate is $63.05
I've rounded up so this may not be exact.

please help me solve the problem 3 \sqrt[5] 3\sqrt[100]

Answers

3 X squareroot (10 X 100) = 3X (10) X squareroot (10) = [ where the squareroot of 100 is 10] 30 X squareroot (10) = 30 X squareroot (2 X 5) = [where the squareroot of 2 is 1.414] 30 X (1.414) X squareroot (5) = 94.85

Select the correct numeral form of this number written in scientific notation. 5.0 × 10^10 0.000 000 000 5 5,000,000,000 50,000,000,000 500,000,000,000

Answers

10^10=10,000,000,000
5.0 × 10,000,000,000 in scientific notation is 50000000000

Answer:

50,000,000,000.

Step-by-step explanation:

It wouldn't be 5,000,000,000 or 500,000,000,000 or 0.000 000 000 5.

Three carnival tickets cost c cents. What is the cost of one?

Answers

3c I think. Not for sure though.

21.12 is 25.6% of what?

Answers

25.6% of the number 82.5 is 21.12.

25.6% as a decimal 0.256 (divide the number 100 or move the decimal to the left 2 times)

21.12/0.256= 82.5

The answer is 82.5.

Hope this helps!

I need help. Suppose angle ABC equals 110. What is angle DBC? Would it be 70?

Answers

now, notice the "tickmarks" on the angles, that means those two angles are equal, now if ∡ABC is 110, then the remaining is 70, 180 - 110, and if you subtract the 70 from 110, what's left is ∡DBC.

simplify 6/5 plus 10.35

Answers

6/5 = 1 1/5 or 1.20

1.20 + 10.35 = 11.55

hope this helps

if you want fraction

6/5 + 10.35

6/5 + 10 35/100

120/100 + 10 35/100

10 155/100

11 55/100 is your answer

hope this helps

6/5+10.35=12/10+10 35/100=120/100+10 35/100=1 20/100+10 35/100=11 55/100

Productive use of machinery on a farm made it possible to decrease the number of tractors by 12 how many tractors does the farm have now if it used to have 1.5 times more

Answers

So first off, the answer to this is 24 now think of x as the real or original sum or amount, also y as the new sum or amount.
y * 1.5 is x, and y+12 is x. Now flip that to figure out what is y, also which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to minus 12, which can help you get the answer which is 24.

Audryn left a $12 tip on a $68.73 restaurant bill. What percent tip did she leave? Round to the nearest tenth of a percent.

Answers

so, if we take 68.73 to be the 100%, what is 12 in percentage off of it?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 68.73&100\\ 12&p \end{array}\implies \cfrac{68.73}{12}=\cfrac{100}{p}\implies p=\cfrac{12\cdot 100}{68.73}[/tex]

seems Audryn is being generous, she probably got the silverware and the maple leaves tablecloth.

Which is a correct classification for the triangle? equiangular triangle obtuse triangle acute triangle right triangle Triangle with two angles labeled 22 degrees and 63 degrees

Answers

None of the classifications. 22 + 22+ 63 = 107 degrees but a triangle mus t have 180 degrees.

Answer:

The triangle is obtuse triangle.

Step-by-step explanation:

Given two angles of triangle labelled as 22° and 63°. we have to classify the triangle.

Let the third angle be x°

By angle sum property of triangle,

22°+63°+x=180°

⇒ 85°+x=180° ⇒ x=95°

An equiangular triangle is a triangle where all interior angles are equal.

An obtuse triangle is a triangle in which one of the angles is obtuse angle.

An acute triangle is a triangle have all three angles acute.

For right triangle one angle must be of 90°.

Hence, one angle of the triangle is 95° which is obtuse i.e greater than 90°

∴ Given triangle is obtuse.

A drivers uses 2.7 gallons of gasoline to drive her car 72.9 miles. what was her cars mileage?

Answers

divide 72.9 by 2.7

72.9 / 2.7 = 27 miles per gallon

Answer:

27 mi/gal

Step-by-step explanation:

The car mileage refers to the number of miles that a vehicle can run per gallon of fuel. A higher car mileage is desirable because it means that the vehicle has a better performance (travels more distance per gallon of fuel.) A driver uses 2.7 gallons of gasoline to drive her car 72.9 miles. The car mileage is:

72.9 miles / 2.7 gallon = 27 miles/gallon

The car can travel 27 miles per gallon of gasoline.

One day, after shopping at a department store, Lenny discovered that he only havd $13 left in his wallet. He had entered the store with $81 in his wallet. Which of the equations below could be used to fined out how much money Lenny spent(x)? A. 81-x=13. B.81+13=x. C.x+81=13. D.x-81=13

Answers

A is the correct answer

how do you Factor this problem 2x^3+4x^2-4x

Answers

Factor out the gcf
2x(x^2+2x-2)

The inner binomial can no longer be factored.
Final answer: 2x(x^2+2x-2)

hello :
2x^3+4x^2-4x = 2x (x²+2x - 2)

Which statement explains why the perimeter of the rectangle can be found using l + w + l + w or 2l + 2w?

Answers

BOTH they both are correct bc they both state the same thing perimeter is both length+ both width's so l+l+w+w=2l+2w

What is 0.68 written as a slimplifed fraction

Answers

0.68 = 68/100

68/100 simplest form is 17/25

hope this helps

.68 into a fraction would be 68/100.
To simplify, for starters, divide both sides by 2.
You get 34/50.
Divide by 2 again, because it can still go further.
You get 18/25
You can look at this different ways, try to factor in different numbers, but this is its lowest form.
Your answer is 18/25

Solve:5(a-2)-15=6(12-7)

Answers

The answer to this problem is 11. Hope I helped!

How can I rename 82 thousands?

Answers

82,000. hope that helped

Final answer:

82 thousands can be renamed as 8 ten thousands and 2 thousands, or as 0.082 hundred thousands in the decimal system.

Explanation:

Renaming 82 thousands means expressing this amount in another unit of place value. In the standard decimal system, the next unit larger than thousands is ten thousands. The digit in the ten thousands place represents the number of ten thousands in that number. If you have 82 thousands, this equals 8 ten thousands and 2 thousands, because 82 divided by 10 equals 8 with a remainder of 2. Therefore, 82 thousands can be renamed as 8 ten thousands and 2 thousands. Similarly, 82 thousands can also be expressed as 0.082 hundred thousands, as 82 divided by 1000 equals 0.082.

Learn more about Renaming Thousands here:

https://brainly.com/question/6205091

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30000 is blank times as much as 30

Answers

1000 is the answer !

30000 is exactly 1000 as much as 30

Substitute the values of x and y into the expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2. Match that value to one of the numbers.

1. x = 2, y = -1 A.-1
2. x = 0, y = 2.5 B.14
3. x = -1, y = -3 C.-11.25
4. x = 0.5, y = -1/10 D.9.17
5. x =3/3 , y =2/5 E.0.44
6. x = √2, y = √2 F. 1.665

Answers

for x = 2 and y = -1

-3x²+2y²+5xy-2y+5x²-3y² ⇒ Simplify by collecting like terms
2x² - y² + 5xy -2y ⇒ then substitute the given value
2(2)² - (-1)² + 5(2)(-1) - 2(-1)
2(4) - (1) + 5(-2) + 2
8 - 1 - 10 + 2
-1

Option 1 matches with option A
-----------------------------------------------------------------------------------------------------------

Given x = 0 and y = 2.5
Substitute into 2x² - y² + 5xy -2y to get:

2(0)² - (2.5)² + 5(0)(2.5) - 2(2.5) = 0 - 6.25 + 0 - 4.5 = -11.25

Option 2 matches with option C
------------------------------------------------------------------------------------------------------------

Given x = -1 and y = -3
Substitute into 2x² - y² + 5xy - 2y, we obtain:
2(-1)² - (-3)² + 5(-1)(-3) - 2(-3) = 14

Option 3 matches with option B
-----------------------------------------------------------------------------------------------------------------

Given x = 0.5 and y = -1/10
Subsitute into 2x² - y² + 5xy - 2y, we obtain
2(0.5)² - (-1/10)² + 5(0.5)(-1/10) - 2(-1/10) = 0.44

Option 4 matches with option E
--------------------------------------------------------------------------------------------------------------

Given x = 3/4 and y = 2/5
Substitute into 2x² - y² + 5xy - 2y, we obtain
2(3/4)² - (2/5)² + 5(3/4)(2/5) - 2(2/5) = 1.665

Option 5 matches with option F

----------------------------------------------------------------------------------------------------------------

Given x = √2 and y= √2
Subsitute into 2x² - y² + 5xy - 2y, we obtain:
2(√2)² - (√2)² + 5(√2)(√2) - 2(√2) = 9.17

Option 6 matches with option D

What are the 3 numbers in Marlene's puzzle if the quotient of a & c is 8, the quotient of a & b is -16, the quotient of b & c is -0.5, the product of a & c is 2, the product of a & b is -1,?

Answers

a = 4, b = -0.25, c = 0.5

or a = -4, b = 0.25, c = -0.5

Write down what you know in the form of equations:

a / c = 8

a / b = -16

b / c = -0.5

a * c = 2

a * b = -1

Now see if you can express one variable in terms of another. The a * c = 2 expression looks like a nice place to begin.

a * c = 2

Divide both sides by c

a = 2/c

Now look for another expression that uses a and c. The expression a/c = 8 looks like a good possibility.

a/c = 8

Substitute the expression defining a in terms of c into the expression

(2/c)/c = 8

Multiply both sides by c

2/c = 8c

Multiply both sides by c again

2 = 8c^2

divide both sides by 8

2/8 = c^2

1/4 = c^2

Take the square root of both sides

1/2 = c

0.5 = c

Now that we know the value for c, Calculate a using the a = 2/c expression we made.

a = 2/c = 2/.5 = 4

So we now know that a = 4, and c = 0.5

Look for an expression using b that we can solve. a / b = -16 looks like a good place to try

a / b = -16

Substitute the known value of a

4 / b = -16

Multiply both sides by b

4 = -16 b

Divide both sides by -16

-4/16 = b

Simplify

-0.25 = b

So a = 4, b = -0.25, c = 0.5

Verify using the equations given

a / c = 8: 4 / 0.5 = 8 Correct.

a / b = -16: 4 / (-0.25) = -16 Correct

b / c = -0.5: -0.25 / 0.5 = -0.5 Correct

a * c = 2: 4 * 0.5 = 2 Correct

a * b = -1: 4 * -0.25 = -1 Correct

All of the quotients and products come out as they should, so the values determined for a,b,c are correct.

Note: Since the square root was taken for the equation

0.25 = c^2

0.5 = c

The value of either 0.5, or -0.5 is correct for c. So this problem actually has 2 solutions.

They are a = 4, b = -0.25, c = 0.5

or a = -4, b = 0.25, c = -0.5

HELP ASAP, WILL GIVE BRAINLIEST:

Given two angles that measure 50 degrees and 80 degrees and a side that measures 4 feet, how many triangles, if any, can be constructed?

Answers

Can 2 sides be 4 feet because given those angles you'd have to make an isosceles triangle (where 2 sides are the same length). If so, id say 2 triangles because the 4 ft side could be one of the congruent sides or the base side. If you cant use it for 2 sides, just 1 triangle can be made

Angle 1 = 50°

Angle 2 = 80°

Angle 3 = x°

The sum of the interior angles of a triangle is 180°

50 + 80 + x = 180

130 + x = 180

x = 180 - 130

x = 50°

Hence, angle 3 = 50°.

Now, we see that two angles of the triangle are equal, hence, the triangle that will form will be an isosceles triangle.

An isosceles triangle has two equal sides whose opposite angles are equal.

So, there could be a chance that two sides of the triangle are 4 ft in length.

a rectangle has a perimeter,p, length,l, and width,w. which of the following represents l in terms of p and w?

Answers

P = 2 (l + w)
l = length
w = width

so
l + w = P/2
l = P/2 - w

Final answer:

To find the length (l) of a rectangle in terms of the perimeter (p) and width (w), use the formula l = (p - 2w) / 2.

Explanation:

To find the length (l) of a rectangle in terms of the perimeter (p) and width (w), we can use the formula for the perimeter of a rectangle, which is given by:

p = 2l + 2w

Now, solve the equation for l by subtracting 2w from both sides:

p - 2w = 2l

Finally, divide both sides by 2:

l = (p - 2w) / 2

What is the scale factor of 3,6 and 4.5, 9

Answers

To determine scale factor, we have to see what the common factor we multiply each term by in order to get the other two terms. To do this, we have to divide the corresponding values: 4.5/3 = 1.5. 9/6 = 1.5. Thus, since both pairs of numbers produced the same factor, it is 1.5

Final answer:

The scale factor between the numbers (3, 6) and (4.5, 9) is 2, since the second number in each pair is twice as large as the first number.

Explanation:

The scale factor is a ratio that describes how to enlarge or reduce the dimensions of an object to create a new object that is similar to the original. To figure out the scale factor between two similar figures, we calculate the ratio of any two corresponding lengths in the figures.

As per the student's question:

For the pair of numbers (3, 6), the scale factor can be calculated by dividing 6 by 3, which gives us a scale factor of 2.For the pair of numbers (4.5, 9), dividing 9 by 4.5 gives us a scale factor of 2 as well.

In each case, the corresponding lengths in the second object are twice those in the first, meaning you can multiply the dimensions of the first figure by 2 to get the dimensions of the second figure.

My car averages 35 miles to a gallon. when the price of gasoline is $3.09per gallon, what was the cost per mile

Answers

3.09/35 hope that helps !

using long division to divide 3x^4-2x^3+x-1 by x^2-x-2

Answers

check the picture below.

recall to put the dividend as well as the divisor in descending order, and to include any missing terms before the constant.

please
work out -7--9

Answers

-7--9
= -7 + 9
therefore = 2

The probability that a given computer chip will fail is 0.02. find the probability that of 5 delivered chips, exactly 2 will fail.

Answers

Since the chip either passes or fails, this problem is one in binomial probability, with p(fail)=0.02 and n=5.

If your calculator features probability functions such as binompdf(n, p), use it.
Mine is a TI-83 Plus.

The probability that exactly two chips will fail is

binompdf(5,0.02,2) = 0.0038. This is quite a small probability.

Probability of an event is the measure of its chance of occurrence. The probability that of 5 delivered chips, exactly 2 will fail is 0.003764768 or approx 0.0004

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

For the given case, as failing or working of chips usually doesn't depend on other chips' working condition, so they're independent(assuming). There are two cases for each chip's working(random experiment) that it is either working or failed.

If we take Success of the considered binomial experiment(working status of chip) = Chip working fine

Then, as per given data, we have

P(chip working fine ) = 1 - P(chip not working) = 1 - 0.02 = 0.98 = Probability of success in Bernoulli experiment (chip's working status).

There are n = 5 chips, p = probability of success = 0.98, q = 1-p = 0.02

If we take X = number of chips of of 5 chips working, then:

[tex]X \sim B(n = 5, p = 0.98)[/tex]

Then, the needed probability is P(Exactly two chips fail) = P(Exactly 5-2 = 3 chips work) = P(X = 3)

And thus, the needed probability is calculated as:

[tex]P(X = 3) = \: ^5C_3(0.98)^3(0.02)^2 = \dfrac{5.4.3}{3.2.1} \times 0.941192 \times 0.0004 = 0.003764768[/tex]

(using the probability mass function of binomial distribution).

Thus, the probability that of 5 delivered chips, exactly 2 will fail is 0.003764768 or approx 0.0004

Learn more about binomial distribution here:

https://brainly.com/question/13609688

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