You want to make a nut mix that has almonds, cashews, and peanuts. Almonds cost $7 per pound, cashews are $5 per pound, and peanuts are $2 per pound. If you want to make a 10 pound mix with a $20 budget find the possible mix combinations of almonds, cashews, and peanuts. How many pounds of almonds should you use

Answers

Answer 1

Answer and explanation:

Assume Almond is a

Cashew is c

Peanuts is p

The system of equations satisfies this thus:

a+c+p= 10

7a+5c+2p= $20

The system of equations has three unknowns. Solving for the unknown variables here would yield parametric equations or dependent system where given x y z we may find x in terms of y and z in terms of x, in that form. This would give many results for our problem which may not be very accurate.


Related Questions

how do you solve for(−5)^5(−5)^−6

Answers

Answer:

-1/5

Step-by-step explanation:

We know that a^b * a^c = a^(b+c)

(−5)^5(−5)^−6

(-5) ^(5+-6)

(-5)^-1

We know that a^-b = 1/a^b

1/(-5)^1

1/-5

-1/5

a horizontally laid standard weight pipe has a diameter of 10 inches and is 12 feet long. The pipe is filled 9 inches high with water. How many gallons of water does the pipe hold? (Round your answer to the nearest gallon.) Please help.

Answers

Answer:

d isósceles hijo muy graciosa ya no me acuerdo de nada y tu q ases hablas con el

2. find out the h.c.f

Answers

2a , 1st exp= a2 + ab

= a(a+b)

2nd exp = a2-b2

= (a+b) (a-b)

HCF = (a+b)

b, 1 st exp= (a+b)2

= (a+b)(a+)

2 nd exp = a2-b2

= (a+b) ( a-b)

HCF = (a+b)

c, 1 st exp= (a-1)2

= (a+1) (a-1)

2nd exp= a2-1

= (a+1)(a-1)

HCF = (a-1)

d, 1st exp= (x-2)(x-3)

= x(x-3)-2(x-3)

= x2 - 3x - 2x + 6

= x2- 5x+ 6

= x2 - (3+2)x + 6

=x2 -3x-2x+ 6

= x(x-3) -2(x-3)

=(x-3)(x-2)

2 nd exp = (x+2) (x-3)

= x( x-3) + 2 (x-3)

= x2 - 3 x+ 2x -6

= x(x-3) + 2(x-3)

=(x-3) ( x+ 2)

HCF = (x-3)

3x - 2y = 16 and x - 2y = 4 (any method <3)​

Answers

Answer:   (x, y) = (6, 1)

This means x = 6 and y = 1

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

Explanation:

I'll use the substitution method to solve this system.

Let's solve the second equation for x

x-2y = 4

x = 4+2y

Then plug that into the first equation so we can solve for y.

3x - 2y = 16

3(4+2y) - 2y = 16 ... x replaced with 4+2y

12+6y - 2y = 16

12 + 4y = 16

4y = 16-12

4y = 4

y = 4/4

y = 1

Lastly, use this y value to find x

x = 4 + 2y

x = 4 + 2(1)

x = 6

The solution as an ordered pair is (x, y) = (6, 1)

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

Checking the answer:

Plug those x,y coordinates into the first equation

3x - 2y = 16

3(6) - 2(1) = 16

18 - 2 = 16

16 = 16

That confirms the first equation. Repeat for the second equation

x - 2y = 4

6 - 2(1) = 4

6 - 2 = 4

4 = 4

Both equations are confirmed.

cotx - tanx +4sin2x = 2/ sin2x

Answers

Answer:

Step-by-step explanation:

please click thanks and mark brainliest if you like :)

Find C to two decimal places and find the measurement of angle be use your calculator

Answers

Let's solve

P=8B=5

Using Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto c^2=8^2+5^2[/tex]

[tex]\\ \sf\longmapsto c^2=64+25[/tex]

[tex]\\ \sf\longmapsto c^2=89[/tex]

[tex]\\ \sf\longmapsto c=\sqrt{89}[/tex]

[tex]\\ \sf\longmapsto c\approx 9.22[/tex]

What is the difference between 15% of 7 and of 7?

Answers

1.05 is the difference of 15% of 7 and 7!!!

Please show your work
[tex]1\frac{2}{3} + 2\frac{3}{4}[/tex]

Answers

Answer:

[tex]→1 \frac{2}{3} + 2 \frac{3}{4} \\ = \frac{5}{3} + \frac{11}{4} \\ = \frac{20 + 33}{12} \\ = \frac{53}{12}\\ =\boxed{4\frac{5}{12}}✓[/tex]

53/12 is the right answer.

Steps:

1 2/3 + 2 3/4 can also be written as...

5/3 + 11/4

The LCD is 12 so we make both fractions have a denominator of 12.

That gives us 20/12+33/12

Now you can add the numerators (but leave the denominator the same)

That gives us 53/12, but our simplified version would give us 4 5/12 as our final answer.

Answer:

[tex]4\frac{5}{12\\}[/tex]

Please mark brainliest if that helps!

Best answer gets brainliest and 5 stars

Answers

Answer:

B

Step-by-step explanation:

5^2+12^2=25+144=169=13^2 which will form a right angle triangle

A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.

12x + 25y = 300

x = number of used games

y = number of new games

How many games can Jonathan buy if he spends all his money on used games?

Answers

Answer:

25 used games

Step-by-step explanation:

Divide his money by the price for one used game

300/12

25

Answer:

y=0

12x=300

X=300/12

X=25

he can buy 25 used games .

Step-by-step explanation:

Is 8.888... a rational number?

Answers

Answer: Yes it's a rational number

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

Explanation:

Since the decimal repeats itself infinitely (the 8s go on forever), this is one sign that we have a rational number.

Rational numbers always have some kind of infinitely repeating pattern when we convert them to decimal form.

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

Extra info (optional section)

If you want to determine what this number is equal to, then let's say that

x = 8.8888...

Multiplying both sides by 10 gets us

10x = 88.888....

Now we'll subtract the two equations

The 10x-x becomes 9x while the 88.8888...-8.8888... turns into 80

We're left with 9x = 80 which solves to x = 80/9

Therefore, 80/9 = 8.8888.... showing that we have a rational number

Any rational number is basically a fraction of two whole numbers.

what number is smallest 2,-3,-10,-5,-2-1

Answers

Answer:

2,-3,-10,-5,-2-1

The smallest number is -10

Answer:

it's -10

Step-by-step explanation:

Well, if you look at the number line, numbers start from the left going to the right and the ones before the 0 ( the negative ones) are the smaller ones. And here if you arrange them from the smallest, -10 is the smallest and 2 is the biggest.

hope this helps

Marking Brainliest. Can someone please how to do this with a fairly simple explanation? I'm not sure what to do.

Answers

Answer: See the diagram below

Explanation:

In the LS column, you'll have these steps

3x - 1

3*4 - 1

12 - 1

11

Effectively, we replaced x with 4 and then simplified using PEMDAS.

And in the RS column, you'll have these steps

x + 7

4 + 7

11

We get the same thing at the bottom of each column. This shows that we end up with 11 = 11 after simplifying both sides. Therefore, we've confirmed that x = 4 is the solution to 3x - 1 = x + 7


I NEED HELP ASAP ITS FOR MY SCHOOL WORK AND I CANT FIGURE THIS OUT

Answers

Answer:

28.

      megabyte- [tex]10^6[/tex]

      terabyte- [tex]10^{12}[/tex]

      gigabyte- [tex]10^9[/tex]

       For [tex]10^6, 10^9, 10^{12},[/tex] and [tex]10^{15}[/tex], put the 1, and add the exponent # of 0s.

29.

       The cube is 6×6×6   or    216 in. It would be 6³, because the 6 is multiplied 3 times.

30.

 a. 10

 b. 5120

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

Question 28

megabyte: 10⁶

terabyte: 10¹²

gigabyte: 10⁹

Question 29

Question 30

a. 20

b. 5,120

50 points and brainly
Trinas you company charges $0.86 per pound to ship toys. Part A: Write an equation to determine the totals cost, c, to ship p pounds of toys. Use your equation to determine the cost of shipping 2 pounds of toys. Path B: if the company reduces the cost to ship toys by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of toys with the reduced cost.

Answers

Answer:

Part A:

c = .86*p

c =1.72 for 2 lbs

Part B:

c =.81p

Step-by-step explanation:

Part A:

Total cost = cost per pound * number of pounds

c = .86*p

Let p = 2

c = .86*2

c =1.72

Part B:

Total cost = cost per pound * number of pounds

c = .(.86-.05)*p

c =.81p

how many permutations can be made with the letters in the word Metallica

Answers

Answer:   90720

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

Explanation:

There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.

We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.

Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.

A math teacher claims that the students' test scores are directly proportional to the amount of time spent studying. Amy studies 17 hours for a test and gets a score of 68. At this rate, how many hours would she have to study to get a score of 97?

Answers

Answer:

97/4 = 24.25 hours

Step-by-step explanation:

68 = 17x

x = 68/17 = 4

This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.

n = d + 74

The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?

Answers

Answer:

16+74

Step-by-step explanation:

substitute 16 into the equation

Answer: n=90

d=16 so n= 16+74

please mark brainliest

Find the missing value.
Hint: Use the number line to find the missing value.
了。
-(-2)
{

-10
-5

15
0
5
10
-15

Answers

Answer:

-5

Step-by-step explanation:

-5 -(-2)

=-7

I hope this helped!

(3x)2 – 7y2, when x = 3 and y = 2

Answers

[tex]3 \times 3 \times 2 - 7 \times 2 \times 2 \\ 18 - 28 \\ - 10[/tex]

Answer:

115

Step-by-step explanation:

(3x)^2 – 7y^2

Plug in:

(3×3)^2 – 7×2^2

9^2 - 14^2

81 - 196

115

Hope this helped.

Miguel has lots of candy from Halloween. He has 42 lollipops. He has 6 times as many lollipops as he does chocolates. How many chocolates does he have?

Answers

Answer:

7

Step-by-step explanation:

42 divided by 6 = 7. The answer is 7

Help me please. I don't understand geometry.

Answers

Answer: ~p ~q.

Explanation: The inverse is "If ~p then ~q." Symbolically, the inverse of p q is ~p ~q.


Answer ASAP please!

Answers

Answer:

B

SOH-CAH-TOA

Sin= opp/hyp

Step-by-step explanation:

3. In a school, there are 450 students in total. If 2⁄3 of the total students are boys, find the number of girls in the school. What percent of the students are boys? Show your work or explain how you calculated your answer

Answers

Answer:

150 girls

66.7%

Step-by-step explanation:

2/3 × 450 = 300 boys

450 - 300 =150 girls

second question:

300/450 × 100

=66.66666667

=66.7% Students are boys

There are 150 girls in the school, and approximately 66.67% of the students are boys.

What percent of the students are boys

let's break this down step by step:

1. Total number of students: 450

2. Boys make up 2/3 of the total students.

Number of boys = (2/3) * 450

= 300 boys

3. To find the number of girls, subtract the number of boys from the total:

Number of girls = Total students - Number of boys

= 450 - 300

= 150 girls

Now, let's calculate the percentage of students that are boys:

Percentage of boys = (Number of boys / Total students) * 100

= (300 / 450) * 100

= 66.67%

So, there are 150 girls in the school, and approximately 66.67% of the students are boys.

Learn more about percentage at https://brainly.com/question/24304697

#SPJ3

For a given sample size in hypothesis testing, a.Type II error will not be effected by Type I error. b.the smaller the Type I error, the larger the Type II error will be. c.the smaller the Type I error, the smaller the Type II error will be. d.the sum of Type I and Type II errors must equal to 1.

Answers

Answer:

B.the smaller the Type I error, the larger the Type II error will be

Step-by-step explanation:

In hypothesis, type I error is when we reject the null hypothesis even though it's true while type II error is when we accept the null hypothesis even though it is false.

Now, the type I error is based on the significance level alpha. While the type II error is based on the statistical power beta.

This means that the significance level will affect the statistical power and we know that the significance level is inversely related to the Type II error rate based on beta.

Therefore, we can conclude that;

Having a lower significance level will lead to a decrease in the risk of getting a Type I error, however, it will increase the possibility of having a Type II error.

Thus, option B is correct.

2(-n - 3) - 7(5+ 2n)

Answers

Answer:

-16n-41

Step-by-step explanation:

2(-n-3)-7(5+2n)

Distribute

-2n-6-35-14n

Combine like terms

-16n-41

Hope this helps!

A cylinder has a volume of 132x cubic feet and height of 4 feet. What is the area of the base?
* Square feet

Answers

Answer:

33π square feet

Step-by-step explanation:

Volume = base area × height

132π = base area × 4

or, base area = 132π/4

or, base area = 33π

Answered by GAUTHMATH

is 1/5 a rational or irrational number (20 points pls help)

Answers

Answer:

rational

Step-by-step explanation:

Answer:

it's Rational Number

Step-by-step explanation:

since each integer can't be written in the fraction form or for this example it would be thus 5 so it would be a rational number

PLEASE HELP!!!!!!!
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A. 3x and -2x
B. 3x, -2x and 5x2
C. 3x, 3xy, -2x and 5y
D. All terms are alike.

Answers

Answer:

C

Step-by-step explanation:

A the answer is A because they have the same ending

To solve the equation -4m = 8, you would _______ -4 on both sides of the equation.
a - multiply by
b - divide by
c - add
d - subtract

Answers

Answer:

divide by

Step-by-step explanation:

-4m = 8

Divide each side by -4

-4m/-4 = 8/-4

m = -2

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