Birdseed costs ​$0.57 a pound and sunflower seeds cost ​$0.87 a pound. Angela​ Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for ​$0.81 per pound. How many pounds of each type of seed should she​ use?

Answers

Answer 1

Step-by-step explanation:

x = pounds birdseed

y = pounds sunflower seeds

x + y = 30

0.57x + 0.87y = 30×0.81

with this last trick (to calculate the full cost of the whole 30 pounds based on the targeted individual price per pound) we bring both constraints into the play.

from the first equation we get

x = 30 - y

and we use that in the second equation :

0.57×(30-y) + 0.87y = 30×0.81 = $24.30

17.1 - 0.57y + 0.87y = 24.3

0.3y = 7.2

y = 24

x = 30 - y = 30 - 24 = 6

she uses 6 pounds of birdseed and 24 pounds of sunflower seeds.


Related Questions

For n = 10 and 1 = 0.59, what is P(X = 8)?
P(X = 8) =
(Round to four decimal places as needed.)

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nCx⋅px⋅(1−p)n−x

llllllllllllllllllllllllllllllllllllll

If 15 out of 25 students are boys, what percent of the class is
made up of boys?

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Ummmmm i think you do 25 divided by .15

x : y = 1 : 5. which is the correct equation?

Answers

Th e correct equation will be y = 5x

How to express ratios and proportions

Ratios is a way dividing two integers. For instance, the ratio of a to b is written as a:b.

Given the ratios expressed as x:y = 1:5

Since ratio means division hence;

x:y = 1:5

x/y = 1/5

Cross multiply

1 * y = 5 * x

y = 5x

Hence the correct equation will be y = 5x

Learn more on ratios here: https://brainly.com/question/2914376

How to find the inverse of 3log3(x+3)+1. Its with a base of 3

Answers

Let [tex]f^{-1}(x)[/tex] be the inverse of

[tex]f(x) = 3 \log_3 (x + 3) + 1[/tex]

Then by definition of inverse function,

[tex]f\left( f^{-1}(x) \right) = 3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]

Solve for the inverse :

[tex]3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]

[tex]3 \log_3 \left(f^{-1}(x) + 3\right) = x - 1[/tex]

[tex]\log_3 \left(f^{-1}(x) + 3\right) = \dfrac{x - 1}3[/tex]

[tex]3^{\log_3 \left(f^{-1}(x) + 3\right)} = 3^{\frac{x-1}3}[/tex]

[tex]f^{-1}(x) + 3 = 3^{\frac{x-1}3}[/tex]

[tex]f^{-1}(x) = 3^{\frac{x-1}3} - 3[/tex]

there are 11 members on a board of directors.if they must firm a subcommittee of 5 members how many different subcommittees are possible

Answers

You see here, there are too many people in the government and all of this gets us no where. So, too many is the answer.

REI.C.6 Level 1
below.
2. A student is solving the system,
2x + 3y = 12
5x - 2y = 11
algebraically. Their work is shown below but is unfinished.
Continue where the student left off and solve the system.
2x + 3y = 12
5x - 2y = 11
=
2 (2x + 3y = 12)
3 (5x - 2y = 11)
4x + 6y = 24
15x – 6y = 33
-

Answers

Answer:

The solution is x = 3, y = 2.

Step-by-step explanation:

4x + 6y = 24

15x – 6y = 33    Add these 2 equations:

19x = 57

x = 57/19

x = 3.          Now Substitute for x in the original equation:

2(3) + 3y = 12

3y = 12 - 6

2y = 6

y = 2.

Find the area of the triangle

Please help me - I don't get how to do this.

Please show your work - I really need to understand this

Answers

Answer:

Step-by-step explanation:

1. Pythagorean theorem: a^2+b^2=c^2

Note that the hypotenuse is 11 (for the second right triangle).

Find the length of the dotted line by doing 7^2+b^2=11^2

49+b^2=121, b=[tex]\sqrt{72\\}[/tex].

Now you can the area of the second right triangle: ([tex]\sqrt{72\\}[/tex](7))/2=29.7.

Find the length of the first right triangle:

Note that 9 is the hypotenuse; ([tex]\sqrt{72\\}[/tex])^2+b^2=9^2

=72+b^2=81

b=3.

([tex]\sqrt{72}[/tex])(3))/2=12.7

4.A counterexample can be used to show that a conjecture is false. Below are three
conjectures students made after visiting a zoo. Write a counterexample that shows that
conjecture is false.
a. There are always more elephants in a zoo than giraffes.
b. The oldest leatherback sea turtle in captivity is 33 years
old.
c. American bison are never over 6 feet tall.

Answers

Counterexamples are simply used to disprove conjectures.

(a) Elephants and Giraffes

This conjecture may or may not be true.

However, it can be disproved by the following counterexample

There are sometimes more elephants in a zoo than giraffes

The word "sometimes" disproves the original conjecture

(b) The oldest leatherback sea turtle

This conjecture is not true.

This is so because the oldest leatherback sea turtle in captivity is actually 400 years old.

So, the conjecture can be disproved by the following counterexample

The oldest leatherback sea turtle in captivity is 400 years old.

(c) American bison

This conjecture may or may not be true.

However, it can be disproved by the following counterexample

American bison are sometimes over 6 feet tall

The word "sometimes" disproves the original conjecture

Read more about conjectures and counterexamples at:

https://brainly.com/question/1619980

Alvin is 9 years older than Elga. The sum of their ages is 81. What is Elga's age?

Answers

Answer:

elga is 32 and alvin is 49

Help please, help please

Answers

Answer:

i think the perimeter is 60

Step-by-step explanation:

9²+12² = x²

15 = x

perimeter = 15×4 = 60

Image attached giving 25 points please help

Answers

Answer:

i think x = -5, y = -7 is a other solution set

Pls confirm if right. If not pls help. Thx!

Answers

180 - 85 = 95

Yep, you are all good!

Answer:

yes you are correct

Step-by-step explanation:

I need the anwser to this right now please

Answers

Answer:

b. 9

Step-by-step explanation:

2+9=11

11+11=22

22+6=28

answer: 9

(3+3)-28 = 22
that leaves the other side having to be 11 on each so
2+9= 11

6x + ____ = 10 Please find the blank.

Answers

Answer:

6x +4=10

I think this is answer

factorise this
12a²+20a​

Answers

Answer:

4a(3a+5)

We take H.C.F of both number and the variables then we compare the HCF number and variable with our question and equate and write the answer about how much should be multiplied from the H.C.F answer to get the question.

4a(3a+5)
3a+5=0
3a=-5
a=-5/3

First the first 4 term for 4n-5

Answers

Answer:

-1, 3, 7, 11

Step-by-step explanation:

First, let's find term 1. To find this term, we need to replace n with 1 - what is 4(1) - 5? Well, that's just 4 - 5, or -1. So, our first term is -1. Next, we'll find our second term. To do this, we'll replace n with 2. 4(2) = 8, and then 8 - 5 is equal to 3, so our second term is 3. Let's now find the third term by replacing n with the number 3. 4(3) - 5 is equal to 12 - 5, or 7. So, 7 is our third term. Finally, we'll find the fourth term. 4(4) is equal to 16, and 16 - 5 is equal to 11. So, the fourth and final term is equal to 11.

Hopefully that's helpful! :)

Step-by-step explanation:

Term 1: - 1

Term 2: 3

Term 3: 7

Term 4: 11

The rule is, where you see n, substitute with the position/term requested

First 4 terms are: - 1,3,7, 11

Triangle A'B'C' is a reflection of triangle ABC across line BC. Prove that ray BC is the angle bisector of angle ABA'.​

Answers

Answer is below in the picture:-

(From the problem, we know (triangle)ABC (round of equal of) (triangle)A'B'C'. So, <A'B'C' = <ABC {the properties of congruent triangles}. So, ray BC is the angle, bisector of angle ABA')

I hope it helps.

It is proved that the ray BC is the angle bisector of angle ABA'.

What are angle bisectors?

Angle bisectors are lines who bisect the considered angle. Bisect refers to splitting in two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if it in a mirror.

We will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

From the given problem, we know Triangle A'B'C' is a reflection of triangle ABC across line BC.

Therefore, <A'B'C' = <ABC

By the properties of congruent triangles. Means if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Hence, the ray BC is the angle, bisector of angle ABA'.

Learn more about reflection here;

https://brainly.com/question/28186407

#SPJ5

can someone please tell me these answers

Answers

Answer:

1.

m= 1; b= 4

m= -4; b= 2

m= 1; b= 0

m= 3/2; b= -9

m= -7; b= 4/5

2. C

Step-by-step explanation:

Question 1.

Your slope equation is

y=mx+b

The number before the x is your slope. The number added or subtracted after is your b.

Question 2.

Slope is rise over run.

Help me please i really need it​

Answers

Answer:

Step-by-step explanation:

RSB is a right angle

12. RSB is 90 degrees

13. A right angle is 90 degrees

H is between P and S

14. PS + PH = HS

15. Deductive Reasoning

simplify help me to do this

Answers

Answer:

204

Step-by-step explanation:

90-5 (9-5 (9- (14-12) 3 ) ÷5

▪︎ First we have to solve the ones in the brackets ___ ( 14-12 ) which is e equal to 2

90-5 (9-5 (9- 2×3 ) ÷5 "the 3 comes inside the bracket coz we solved the previous one"

▪︎then we have to solve ( 9-2×3 ) which is equal to 3 _____ is 3 because if we go in the BODMAS way it will be

( 2×3 =6) , then... (9-6=3)

▪︎at the same time we can subtract 9-5 because we are done with the first bracket ( 9-5=4 )

90-5 (4×3)÷5

▪︎at the same time we can subtract 90-5 as well coz we are done with the first bracket ( 90-5=85)

▪︎then we can multiply (4×3) coz it's in the brackets (4×3=12)

85×12÷5

▪︎so then we hv to multiply 85 by 12 , then the answer is 1020

1020÷5

▪︎then divide (1020÷5=204)

☆90-5 (9-5 (9- (14-12) 3 ) ÷5

=90-5(9-5(9-2×3)÷5

=90-5(4×3)÷5

=85×12÷5

=1020÷5

=204

hope this helps☆☆☆

( sorry fr the long answer )

Please help me with this question and how to break even!

Answers

Answer:

The blogger needs at least 189subscribers to break even

what is the output of the function when the input is −3

Answers

It depends on the function. Please add a picture or type your function.

Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400
could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.

Answers

Answer:

5 weeks

Step-by-step explanation:

75 w + 55 ≥ 400

75 w ≥ 345

15 w ≥ 69

w ≥ [tex]\frac{23}{5}[/tex] = 4.6 weeks ⇒ the minimum number of weeks Jordan must work is 5 weeks

The curve y= 1/3 x⁴ - 4x² -3x has a gradient of -3 at three points.

Find the coordinates of these points.

Answers

Answer:

[tex]\boxed{(0, 0), (\sqrt{6}, -12-3\sqrt{6}), (-\sqrt{6}, -12+3\sqrt{6})}[/tex]

Step-by-step explanation:

Step 1: Take the derivative of the function with respect to x

[tex]\frac{d}{dx} (\frac{1}{3}x^4-4x^2-3x)\\=\frac{d}{dx} (\frac{1}{3}x^4)-\frac{d}{dx}(4x^2)-\frac{d}{dx}(3x)\\=\frac{4}{3}x^3-8x-3[/tex]

Now, you have the gradient of every point given the x value. We want the gradient to be -3, so,

Step 2: Set the derivative of the function equal to -3 and solve for x

[tex]\frac{4}{3}x^3-8x-3=-3\\\frac{4}{3}x^3-8x=0\\4x(\frac{1}{3}x^2-2)=0\\[/tex]

We can see that one solution is x=0.

The other 2 solutions are:

[tex]\frac{1}{3}x^2-2=0\\\frac{1}{3}x^2=2\\x^2=6\\x=\sqrt{6}, x=-\sqrt{6}[/tex]

Now that we found out the x value, we can plug it in back to the equation to find their respective y value:

x=0: y=0

x=sqrt(6): y=-12-3sqrt(6)

x=-sqrt(6): y=-12+3sqrt(6)

Hence we have our answer.

Dog slept 3 hours . If the dog snored 1/3 of an hour . How many times did he snore

Answers

Answer:

it depends how much the god snores within a certain time period

Casey bought 9 tickets to a concert. The total charge was $104, including a $5 service charge. Write an equation you can use to solve to find c, the cost of one ticket.

Answers

Answer:

104-5/9

Step-by-step explanation:

just divided ND SUBTRACT

Complete the statements describe how to convert feet to yards to find the number of yard like the number of feet by the unit rate blank feet per yard

Answers

Answer:

divide3 ft/yd

Step-by-step explanation:

To find the number of yard, divide the number of feet by the unit rate 3 feet per yard.

what is the percent change of
30 to 90?
what is what is the percent change of 30 to 90?​

Answers

Answer:

200% increase

Step-by-step explanation:

SOMEBODY HELP ME NO LINKS PLEASE

Answers

What do you need help with I don’t see where you would need help No fence it just all looks filled in I would love to help

Translate the sentence into an inequality.
The sum of a number times 2 and 21 is at least 22.
Use the variable b for the unknown number.

Answers

2b + 21 < 22

b is the unknown number so multiply it by 2 to get 2b then add 21, bring the less than sign and write the 22 after the less than sign

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