A lawn seed mixture contains three types of seed: bluegrass, rye, and Bermuda. The costs per pound of the three types of seed are 12 cents, 14 cents, and 3 cents, respectively. In each batch there must be at least 25% bluegrass seed, and the amount of Bermuda must be no more than 2/3 the amount of rye. To fill current orders, the company must make at least 6000 pounds of the mixture. How much of each kind of seed should be used to minimize cost

Answers

Answer 1

Answer:

612 dollars

Step-by-step explanation:

From the given information:

Amount of the total mixture = 6000 pounds

Also, for each batch, there needs to be at least 25% bluegrass seed.

It implies that:

In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.

The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.

Suppose the amount of rye seeds = x pounds

while that of Bermuda is (4500 - x) pounds

Then, since the amount of Bermuda contains no more than 2/3 of that of rye.

The equation can be written as:

[tex]( 4500 - x) = \dfrac{2x}{3}[/tex]

13500 - 3x = 2x

13500 = 5x

[tex]x = \dfrac{13500}{5}[/tex]

x = 2700

Now, the amount of rye seed = 2700 pounds

while that of Bermuda seed = 4500 - 2700 = 1800 pounds

However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.

So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents

For rye seed; cost of 1 pound = 14 cents

the cost of 2700 rye seeds = 14 × 2700 = 37800 cents

For Bermuda seed; cost of 1 pound = 3 cents

the cost of 1800 rye seeds = 3 × 1800 = 5400 cents

The total amount = (18000 + 37800 + 5400) = 61200 cents

Recall that:

100 cents = 1 dollars

61200 cents = x dollars

x = 61200 cents/100 cents

x = 612 dollars

Thus, the minimum cost is 612 dollars.


Related Questions

A car travels about 46 feet in one second. At this speed,
about how many feet will the car travel in 2 seconds?
A
920 feet
B
48 feet
480 feet
D
92 feet

Answers

I think it is D, 92 seconds. I doubled 46 so I hope I helped :))

Help&EXPLAIN

Don’t use for points or I’ll take it back and u will be reported

Answers

Answer:

103

Step-by-step explanation:

Every straight line's angle measurement is 180 degrees, so if one angle is 77 degrees, the other must be 103 degrees to equal 180. (77+103=180)

Hope this helps!

Which equation matches line p?

Answers

Answer:

line p matches with the first equation

Step-by-step explanation:

line is point to equationsY=1/2x + 100

Help me pls pls pls

Answers

Answer / Step-by-step explanation:

4 * (2 + 3) - 12

To get our final answer, we need to follow PEMDAS, which is :

Parenthesis

Exponent

Multiply

Divide

Addition

Subtraction

These mean that this is the order you will solve by what is in the question, let us start with the parenthesis.

(2 + 3) fits this description, therefore we add them together :

4 * 5 - 12

There are no more parenthesis and also no more exponents, so move onto multiplying.

4 * 5 - 12

20 - 12

Now subtract :

8

Find X intercept of f(x)=2(x-4)^2+2

Answers

Step-by-step explanation:

[tex]f(x) = 2( x - 4) ^{2} + 2 \\ f(x) = 2({x}^{2} - 8x + 16) + 2 \\ f(x) = 2 {x}^{2} - 16x + 32 + 2 \\ f(x) = 2 {x}^{2} - 16x + 34[/tex]

NEED ASAP !! HELP PLEASE 10 PTS

Answers

The correct answer for angle YVZ is 47 degrees

A study was conducted to investigate whether a new drug could significantly reduce pan in people with arthritis. From a group of 500 people with arthritis 250 were randomly assigned to receive the drug (group 1) and the remaining people were assigned a placebo (group 2). After one month of treatment, 225 people in group 1 reported pain relief and 150 people in group 2 reported pain relief Let Pe represent the combined (or pooled) sample proportion for the two samples. Have the conditions for inference for testing the difference in population proportions been mel? (A) No. The people in the study were not selected at random (6) (B) No. The number of people in the study was too large compared with the size of the population (C) No. The normality of the sampling distribution cannot be assumed because Pe times each sample size is not sufficiently large (D) No. The normality of the sampling distribution cannot be assumed because I - Pe times each sample size is not sufficiently large 6 (E) Yes. All conditions for inference have been met

Answers

Answer:

(C) No. The normality of the sampling distribution cannot be assumed because Pe times each sample size is not sufficiently large

Step-by-step explanation:

The above happens to be the true statement to the question asked about the new drug study which was carried out just to know its effect with those patients suffering from arthrities.

2X plus 7 for x equals five

Answers

Answer:

17

Step-by-step explanation:

If x equals 5, then you just do 2(5) + 7.

2×5=10 10+7=17

Help Please 15 points!!!

Answers

The answer is -5(6x-1) /6
the answer is -5(6x-1)

QUESTION IS IN THE PICTURE, PLEASE HELP!!​

Answers

Answer:

The median is 5, mode is 5, and range is 12

Step-by-step explanation:

Answer:

MEDIAN - 5

MODE - 2 (4times)

RANGE - 13-1=12 (12 is the range)

Step-by-step explanation:

MEDIAN - Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

MODE - The mode is the element that occurs most in the data set. In this case, 2 occurs 4 times.

RANGE - Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 13-1=12

what year is 40040040040049039qji34btuewrbgsnbbg snk g smart

Answers

what? I don’t understand lol

How do you create and solve equations in one variable given a real–world situation?

Answers

Step-by-step explanation:

1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)

ex: if   x+9=32

subtract 9 from both sides to get rid of it

x=23

2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it

you could multiply by 3 on both sides:

x+9=69

x=60

Answer:

1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)

ex: if   x+9=32

subtract 9 from both sides to get rid of it

x=23

2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it

you could multiply by 3 on both sides:

x+9=69

x=60

Hope this helps!

Step-by-step explanation:

Use synthetic substitution to find |(3) for f(x) = x2 - 9x +5.
Oa. 41
Ob.-23
Oc. -13
Od. -16

Answers

Answer:

-13

Step-by-step explanation:


A random sample of 40 business days from the past year was taken from the store
records. For each day, the net income was determined. The sample standard
deviation was found to be $57.19. How many MORE business days should be
included in the sample to be 95% confident that the sample mean i of daily net
incomes is within $10 of the population mean p of daily net incomes?

Answers

Answer:

20,00,00

Step-by-step explanation:

which inequality has the same solution set as 3(q + 6) > 11?
3q + 18 < 11
3q + 6 > 11
q + 18 > 11
q + 18 > 11

Answers

Given:

The inequality is

[tex]3(q+6)>11[/tex]

To find:

The inequality that has the same solution set as the given inequality.

Solution:

We have,

[tex]3(q+6)>11[/tex]

Using distributive property, we get

[tex]3(q)+3(6)>11[/tex]

[tex]3q+18>11[/tex]

Since the given inequality can be rewritten as [tex]3q+18>11[/tex], therefore the inequality [tex]3q+18>11[/tex] has the same solution set as [tex]3(q+6)>11[/tex].

Hence, all options are incorrect. The required inequality is [tex]3q+18>11[/tex].

Answer:

3q+18 > 11

Step-by-step explanation:

A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1, 140, write and solve an equation to find the number of couples attending the spring dance.

Please help me!! I have been stuck on this question for too long.

Answers

Answer: A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1,140, write and solve an equation to find the number of couples attending the spring dance. b. Solve the problem arithmetically. Show the steps you used. c. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.

Step-by-step explanation:

there ya go this was hard

52 Couples, (I’m new I don’t know if I’m doing this right) if we are talking about the total price then we have to subtract 100 because The $100 wasn’t a part of how much the couples had to pay. And then you’ll get 1040 and then you have to divide 1040 by 20 and then 52 will be left.(please don’t blame me if this is wrong lol just trying to help if I can)

PLEASE HELP! ASAP PLEASE!

Answers

Answer:

4, it's an isosceles trapezoid, so sides TP and RA should be equivalent

Which of the follow triangles is similar to APOR?

Answers

Answer:

D

Step-by-step explanation:

For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.

The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if

(a) the angle in X is congruent (same) as the angle in Y

(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y

For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.

So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)

Answer A:  12/15 simplifies to 4/5, wrong answer

Answer B:  9/12 simplifies to 3/4, wrong answer

Answer C:  6/10 simplifies to 3/5, wrong answer

Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2

We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.

We get 6/7! That is the correct answer, so D is the triangle similar to PQR.

How do you solve 2.5x + 10 = 50?

Answers

Answer:

I think the answered is x = 16 hope I right

Answer:

X = 16

Step-by-step explanation:

2.5x+10 = 50

distribute the ten to the other side by substracting

2.5x = 50-10

2.5x = 40

Now divide 2.5 on both sides

2.5x/2.5 = 40/2.5

x = 16

A pack of cinnamon-scented pencils sells for $9.00. What is the sales tax rate if the total cost of the pencils
is $9.27?
The sales tax rate is

Answers

The sales tax rate is 7%

What’s the best unit to measure the width of a stream.

Answers

Answer:

foot

Step-by-step explanation:

A stream is like a river, but is usually much smaller.  Whether river or stream, the foot is the best measure of width.

please help me asap!!!

Answers

Answer:

Already answered it

Step-by-step explanation:

(x + 5)(x – 5)
Multiply

Answers

Answer:

[tex] {x}^{2} - 25[/tex]

Step-by-step explanation:

[tex](x + 5)(x – 5) \\ \\ = {(x)}^{2} - {(5)}^{2} \\ \\ = {x}^{2} - 25[/tex]

Answer:

x²-25

Step-by-step explanation:

To do a sum like this, break up the first bracket and multiply by the second (terms from the first bracket is in bold in first few steps for clarity):

(x + 5)(x – 5)

x(x-5)+5(x-5)

x²-5x+5x-25

x²-25

please answer correctly it’s urgent!!

Answers

Answer:

Perimeter: 26 units

Area: 36 units

Step-by-step explanation:

EH = 4 units

HG = 9 units

GF = 4 units

FE = 9 units

Add them all up to find the perimeter

4 + 4 + 9 + 9 = 26

Then multiply the side by length to get the area

4 * 9 = 36

what does the word "of" mean?
A. in addition to
B. multiply by
C. divided by​

Answers

Answer:

B. multiply by

Can I get help on this question? Please explain the process of how to solve it too.

Answers

Answer:

x = 13

y = 18.38

Step-by-step explanation:

tan 45 = x/13       (tangent = opposite / adjacent)

1 = x/13

multiply both sides by 13

x = 13

cos 45 = 13/y       (cosine = adjacent / hypotenuse

0.7071 = 13/y

multiply both side by y

0.7071y = 13

divide both side by 0.7071

y = 18.38

A plane with the tailwind is 500 km/h. While going against the wind it is 410 km/h. What is the speed of the plane without wind?

Answers

Answer:

45

Step-by-step explanation:

Let the plane speed be x

Let the wind speed be y

x +y= 500.....equation 1

x -y= 410........equation 2

x + y= 500

-

x- y= 410

2x= 90

x= 90/2

x= 45

From equation 1, substitute 45 for x

x + y= 500

45 + y= 500

y = 500-45

x = 455

Hence the speed of the plane is 45

translate twise the sum of a and b,subtracted from c2 into algebraic symbols.
a.2a+b-c2
b.c2-2(a+b)
c.2(a+b)-c2
d.c2-2ab​

Answers

Answer:

c)

Step-by-step explanation:

Can't be b) or d) because you have to substract... from c2, so it's not c2 -... And it has to be c) because in a) you don't have twice the sum of a and b, you only have twice a and than you add b.

So it's c)

A line goes through the point (-8,9), and has a slope of 3/4

Write in form of a Ax + B and C for this line

Answers

Answer:

[tex]y=\dfrac{3}{4}x+15[/tex]

Step-by-step explanation:

Given that,

A line goes through the point (-8,9), and has a slope of 3/4.

We need to express in the form of Ax+B for this line.

We have, m = 3/4

So,

[tex]y=\dfrac{3}{4}x+B[/tex]

Put y = 9 and x = -8 in the above equation.

[tex]9=\dfrac{3}{4}(-8)+B\\\\9=-6+B\\\\9+6=B\\\\B=15[/tex]

So,

[tex]y=\dfrac{3}{4}x+15[/tex]

It is the required equation of the line.

[tex]\frac{28}{54} = \frac{2x+8}{5x-4}[/tex]

Answers

Step-by-step explanation:

step 1. what is the question? solve for x? okay.

step 2. 28/54 = (2x+ 8)/(5x - 4)

step 3. 28(5x - 4) = 54(2x + 8) (cross multiplication)

step 4. 14(5x - 4) = 27(2x + 8) (divide both sides by 2)

step 5. 70x - 56 = 54x + 216 (distributive property)

step 6. 16x = 272 (group x's and add 56 to both sides)

step 7. x = 17 (divide both sides by 16).

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