Mathematics High School

At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use?

Thanks! :)

Answers

Answer 1

Answer:

10 pounds of raisins and 10 pounds of peanuts.

Step-by-step explanation:

Let c represent the pounds of chocolate covered raisins.

Let p represent the pounds of peanuts.

We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.

Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:

[tex]1.5c+1.2p[/tex]

This represents the cost given c pounds of raisins and p pounds of peanuts.

Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:

[tex]1.5c+1.2p=1.35(c+p)[/tex]

We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:

[tex]c+p=20[/tex]

We now have the system of equations:

[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]

First, since we know that c+p is 20, we can substitute that into the first equation.

Second, let's subtract p from both side for the second equation to isolate a variable. So:

[tex]c=20-p[/tex]

Let's now substitute this into the first equation:

[tex]1.5(20-p)+1.2p=1.35(20)[/tex]

Distribute:

[tex]30-1.5p+1.2p=27[/tex]

Combine like terms:

[tex]-0.3p+30=27[/tex]

Subtract 30 from both sides:

[tex]-0.3p=-3[/tex]

Divide both sides by -0.3. So, the amount of peanuts needed is:

[tex]p=10[/tex]

10 pounds of peanuts is needed.

This means that 20-10 or 10 pounds of raisins is needed.

Answer 2

Answer:

10 pounds of both raisins and peanuts.

Step-by-step explanation:

Related Questions

You tape two pieces of paper together that each measure
41.36 cm. You then cut off 21.99 cm.
How long is the paper?

Answers

Answer:

The paper is 60.73 cm long.

Step-by-step explanation:

The two pieces of paper each measure 41.36 cm, so those together would be 82.72 cm. Subtracting the 21.99 that is cut off, you're left with 60.73 cm. Hope this helped!

^^^ they are 100 correct :)

The measurement system used by most scientists and engineers known as the international System of
Units is represented by the two letters.

Answers

si or SI are the two letters that are used to represent the international system of measurement. Hope this helps!

Jose earns $60 a day. After a few days. Jose has $240. How many days has Jose worked?

Answers

Answer:

He has worked 4 days.

Step-by-step explanation:

240 divided by 60 is 4.

If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!

We can write this equation as 60d=b where the d represents the days he works. If he works 1 day we replace the d with a 1 and multiply 60 by 1. B would represent the balance he has after working d days. If we know he ha 240$ we can write the equation as
60d=240
We need to solve for d the number of days he worked and to do this we need to get d by itself
Divide 60 by both sides because in doing so, we will remove the 60 from d to get d alone
60d/60=240
***D=4***
Jose has worked 4 days

Un químico agrega cierta cantidad de una solución de 86% de alcohol a 11 litros de otra solución al 71% de alcohol y obtiene una solución al 77% de alcohol encuentre la cantidad de litros de la primera solución que se agregaron a la segunda

Answers

Answer:

Step-by-step explanation:

Sea x la cantidad de litros de la mezcla al 86%

x× 86% + 11 × 71% = (x + 11) × 77%

0.86x + 7.81 = 0.77x + 8.47

what is 2x + 27 = -3 (x+5) + 7

Answers

Answer:

The answer is x = -7

Answer:

2^x = 16

Step-by-step explanation:

p-1/4=5 1/4

(Change mixed number into a improper fraction first.)

PLZ HELLP WILL GIVE BRAINLY

Answers

5.500

p-1/4-(21/4)=0

Step by step solution :

STEP
1
:

21
Simplify ——
4
Equation at the end of step
1
:

1 21
(p - —) - —— = 0
4 4
STEP
2
:

1
Simplify —
4
Equation at the end of step
2
:

1 21
(p - —) - —— = 0
4 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 4 as the denominator :

p p • 4
p = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

p • 4 - (1) 4p - 1
——————————— = ——————
4 4
Equation at the end of step
3
:

(4p - 1) 21
———————— - —— = 0
4 4
STEP
4
:

Adding fractions which have a common denominator :

4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4p-1) - (21) 4p - 22
————————————— = ———————
4 4
STEP
5
:

Pulling out like terms :

5.1 Pull out like factors :

4p - 22 = 2 • (2p - 11)

Equation at the end of step
5
:

2 • (2p - 11)
————————————— = 0
4
STEP
6
:

When a fraction equals zero :

6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

2•(2p-11)
————————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
2 • (2p-11) = 0

Equations which are never true:

6.2 Solve : 2 = 0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation:

6.3 Solve : 2p-11 = 0

Add 11 to both sides of the equation :
2p = 11
Divide both sides of the equation by 2:
p = 11/2 = 5.500

Help me out fast please

Answers

Answer:

just subtract the sqaush by tomatoes

Answer:

0.5

Step-by-step explanation:

65.92÷32=2.06

49.92÷32=1.56

2.06-1.56=0.5

Which of the following is equivalent to the fraction above? -(3/16)
A. 6/13
B. -13/6
C. -6/-13
D. -6/13

Answers

Answer:

Step-by-step explanation:

Answer:

D. -6/13

Step-by-step explanation:

Alice rode her bicycle the same number of miles every day for 17 days. She
rode a total of 68 miles during these 17 days. At this rate, how many miles did
Alice ride her bicycle in 1 day?

Answers

Answer: 4

Step-by-step explanation:

Alice ride her bicycle in 1 day for a distance of 4 miles.

What is Division?

Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.

Given that,

Alice rode her bicycle the same number of miles every day for 17 days.

Let x be the number of miles that Alice rode for 1 day.

She rode x miles for 17 days.

Total number of miles that she rode in 17 days = 68 miles

So, we have,

17x = 68

Dividing both sides by 17,

x = 4

Hence the number of miles Alice rode in 1 day is 4 miles.

Learn more about Division here :

https://brainly.com/question/28598725

#SPJ2

what is the range of f?

Answers

Answer:

[-4,5]

Step-by-step explanation:

you look on the starting point and the ending point of the y-axis ( you always start with the smallest value)

Freddy tiene $250 en billetes de diez dólares. ¿Cuántos billetes de diez dólares tiene Freddy? Le dio 6 billetes de diez dólares a su hermano. ¿Cuántos billetes de diez dólares le quedan?

Answers

Answer:

-Freddy tiene 25 billetes de diez dólares.

-A Freddy le quedan 19 billetes de diez dólares.

Step-by-step explanation:

Para encontrar la cantidad de billetes de diez dólares que tiene Freddy, tienes que dividir la cantidad total que tiene entre diez:

250/10=25

Esto significa que Freddy tiene 25 billetes de diez dólares.

Para saber cuantos billetes le quedan a Freddy, tienes que restar los 6 billetes que le dio a su hermano del total de billetes que tenía:

25-6=19

De acuerdo a esto, a Freddy le quedan 19 billetes de diez dólares.

Am I right vote you brainiest

Answers

Answer:

false

Step-by-step explanation:

how do i simplify 4^(n-2)+4^(n-1)+...+4^0

Answers

add them all up or Mutiply and Divide all together I think

how to rewrite 11/12 in two different ways

Answers

Answer:

1) 33/36 = 11/12

2) 22/24 = 11/12

Step-by-step explanation:

Hope it helps you! Please give me Brainlest!

Step-by-step explanation:

As a decimal you divide 11 by 12 which is 0,916 (6 repeating)

now as a percent you multiply this decimal by 100 which is 91.6 (6 repeating)%

Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal. Enter the correct answer. I'LL GIVE THE BRAINLIEST

Answers

Pick any two points on graph
(0,4), (1,6)
Find slope
(6-4)/(1-0) = 2/1 = 2

Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x, y) → (–x, –y)?

Answers

Image for proof, dude above got it first.

NEED HELP NEED HELP please if you know show me how you got the answer

Answers

Answer:

It says to Graph y = 1/2x - 4

So equation y = 1/2x - 4

this corresponds to slope intercept form which is y = mx + b

M = slope = rise / run

B = y - intercept

First, start at the origin, (0,0)

Then go down 4, you should now be on the coordinate (0,4)

Now we need to use the slope.

The slope is 1 / 2, this means rise 1, run 2 (in this case 2 to the right because it is positive)

So, start at (0 , 4) and go up 1 unit then 2 to the right, then place a dot, keep repeating until you meet the end of the paper.

Then do the opposite so that you can graph the other side.

Down 1 and 2 to the left.

Answer:

Graph Points (0.-4) and (8,0) and connect the dots into a line

Step-by-step explanation:

To graph y=1/2x-4 you will need to find the y and x-intercept. To find an intercept you have to substitute the x and y variables with 0 one at a time. I first substitute the x variable with an 0 and got the equation y=-4 so my y-intercept is (0.-4). Then I substituted the y variable with 0 and got 0=1/2x-4, I added 4 on each side to get rid of it and got 4=1/2x. I then multiplied both sides by 2 to get the x by itself and got 8=x so my x-intercept is (8,0). Whenever your graphing slope-intercept form equations just find the y and x-intercepts, graph them, connect the dots.

Hope this helps you

What is the equation of the line that passes through (-1, -7) and has a slope of 2?

Answers

Answer:

y=2x + 5 I think it should be

-11 = -4/3 y
Please answer the question...
What is the value of y?

Answers

Answer:

8.25

Step-by-step explanation:

-11 = (-4/3) y

(-11)/(4/3) =y

∴ y = 8.25

How many pairs of angles are marked as congruent in the figures below?
pls answer real quick 20 points!!!!!!

Answers

Answer:2

Step-by-step explanation:According to the diagram,there is a single angle marking for one pair of angles V and M,a double angle marking for angles X and L.

Answer:

I got C. 2

Step-by-step explanation:

I finished the test ( :

Can someone help me? Giving 23 Points.

Answers

Answer:

Option 2 you welcome

explanation: I had this question a while back and I'm 100% sure that this is the right answer!

Question is attached!

Answers

Answer:

what are the answer

Step-by-step explanation:

The correct answer is X= 3!

Please look at the slope and write the equation for each problem...
Answer this correctly, troll and you will get reported.

Answers

Answer:

7. y-1=4(x-2)

y-1=4x-8

y=4x-7

8. y-2=6(x--7)

y-2=6x+42

y=6x+44

11. y-3=2(x-1)

y-3=2x-2

y=2x+1

12. y-4=-1(x-1)

y-4=-x+1

y=-x+5

QUICK!!!!!

Analyze the conditional statement below and complete the instructions that follow.

If m is the midpoint of AB, then M divides AB into two congruent segments.

Identify the inverse of the converse of the conditional statement.

O If M is not the midpoint of AB, then M does not divide AB into two congruent segments.

If M is the midpoint of AB, then M divides AB into two congruent segments.

If M divides AB into two congruent segments, then M is the midpoint of AB.

Olf M does not divide AB into two congruent segments, then M is not the midpoint of AB.

Answers

Answer:

D. If M does not divide AB into two congruent segments, then M is not the midpoint of AB.

Step-by-step explanation:

A conditional statement is one that include 'if'. Thus it is also referred to as an 'if' statement.

Given a conditional statement:

If M is the midpoint of AB, then M divides AB into two congruent segments.

The converse of the given statement is done by interchanging the two parts of it. So that we have:

If M divides AB into two congruent segments, then M is the midpoint of AB.

Then, the inverse can be obtained by getting the negative of both parts of the converse. Therefore, the inverse is:

If M does not divide AB into two congruent segments, then M is not the midpoint of AB.

The correct option is D.

Which number line models the solution set of -2x + 7 > 17?
Pls do 2 answers for good measures (and brainliest)

Answers

Answer:

-5

Step-by-step explanation:

-2x+7>17

-2x>17-7

-2x>10

Divide both sides by -2

-2x<10

-2 -2

x<-5

Note:when dividing with a negative the signs changes

Answer:

Step-by-step explanation:

- 2x + 7 > 17

- 2x > 17 - 7

- 2x > 10

x < 10 ÷ ( - 2 )

x < - 5

x ∈ ( - ∞ , - 5 )

Find the value(s) of A so that XYZW is an isosceles trapezoid. All answers should be fully simplified.

Answers

Answer:

a = 4√5

Step-by-step explanation:

Given

Trapezoid XYWZ

As given, sides XW and YZ are parallel and XY = WZ

Since it is isosceles, angles X and W are of same size

Therefore:

a² + 15 = 2a² - 652a² - a² = 15 + 65a² = 80a = √80a = 4√5

To change Celsius temperatures to Fahrenheit temperatures, you can use the formula F = 95C + 32. Which answer is the best first step to solve the equation for C?

Answers

Answer: I think that the guy above is right just subtract 32.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The first step in solving the equation for C is

Subtract 32 on both sides.

F - 32 = 95C + 32 - 32

F - 32 = 95C

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

We have,

To change Celsius temperatures to Fahrenheit temperatures, you can use the formula F = 95C + 32.

Solve for C.

F = 95C + 32

Step 1:

Subtract 32 on both sides.

F - 32 = 95C + 32 - 32

F - 32 = 95C

Divide both sides by 95.

(F - 32)/95 = C

C = (F - 32) / 95

Thus,

The first step in solving the equation for C is

Subtract 32 on both sides.

F - 32 = 95C + 32 - 32

F - 32 = 95C

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Why does sin54°≈0.809≈cos36° in a right triangle?

A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.

C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.

D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.

Answers

9514 1404 393

Answer:

54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

Step-by-step explanation:

The answer explains itself.

The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Given f(x) = 4x-6 and g(x) = f(2x) what is an equation for the function g?

a) g(x) = 2(4x-6)
b) g(x) = 4x-12
c) g(x) = 8x-6
d) g(x) = 2(4x-6)-6

Answers

Answer: g(x) = f(2x) = 4(2x)-6= 8x-6 => c

Step-by-step explanation:

i need help!!
5=x+29
Solving One-Step

Answers

Step-by-step explanation:

5=x+29

collect like terms

x=29-5

x=24

the answer is 24

hope this helps

Answer:

-24 is your ans.

Step-by-step explanation:

5=x+29

5-29=x

x= -24

Other Questions

Underground mega Monument found near Stonehenge. Which statement is a central idea of the article solve the system of equations and choose the correct ordered pair. 4x+5y=222x+3y = 12 Find the line of reflection if the image of (-5,-2) is each of the following? Choose the one below that is NOT a requirement for the fitness journal.heart ratehair colorfitness levelweight It's Your Decision- What Would You Do? Read the following scenario and address the four questions regarding what you would do in this situation: Coach Mitchells football Wildcats are down 14-12 with one minute to play. The fans scream as Robbie, the Wildcats star tailback, makes his way downfield, dodging and spinning his way to the two-yard line. As Robbie gets to his feet, he takes a cheap shot to the kidney of his tackler and spits toward the tackler. Turning around, Robbie sees Coach Mitchell staring directly at him. Both Coach Mitchell and Robbie know that this behavior goes against the coachs philosophy and team rules. The crowd is going wild in the stands as the referee signals first down; the Wildcats are only two yards away from a win and the teams first postseason game in 15 years. How would you respond if you were the coach? Who will be affected by your decision? How will your decision affect Robbie? How will your decision affect the rest of the team? What is kinetic energy? A. the energy an object has due to its motion B. the energy derived from chemical reactions C. the energy an object has due to its position D. the energy an object releases as heat Please select the best answer from the choices provided. A B C D What is the mass, in grams, of 2.3 moles of gold? QUESTION 24Calculate [H 30+] of a solution with a pH of 2.14. $39 for a case of 75 bananas alg 2 complex numbers in standard form! please help me :( Which form of government is at least characterized by having least amount of political participation Plssss helpppp ASAPPwill mark BRAINLIEST!!! south african education landscape Every year a turkey gets pardoned by thepresident of the United States. Who was the firstpresident to do this? Why would a government have to be very careful when it decides which goods should have a tariff? How do these decisions influence trade in the home country? According to the Woodlawn Park Zoo in Seattle, Washington, the average heightin inches (h) of a baby giraffe during its first week can be described by theequation h = 72 + 1.2d, where d is the number of days since it was born.Which statement explains the meaning of the 1.2 in the equation? CJ wrote several pairs of values that he thought wereequivalent. Which of his equations are correct? Pick all thatapply.1.25 = 125%0.03 = 30%0.001 = 1%60%50%22 23 66.6%Guys I need help Im gonna fail math if a football is thrown upward, its height above theground is given by the equation s=-16t^2+Vot+so, whereVo and so are the initial velocity and intial height of theFootball, respectively, and t is the time in seconds.supposethe football is thrown from the top of a building that is192 feet tall, with an initiae speed of 96 feet per second.a)write the polynomial that gives the height of the Football in termsof the variable t (time)b) what is the height of the Football after 2 seconds haveClapsed? Will the football hit the ground after 2 seconds? what layer of the Earth is made of liquid metal? John's girlfriend is constantly asking him where he's going, what he's doing, who he's doing it with. This nagging is quite aversive to Johnny. As a result, Johnny ends his relationship. This is an example of:_______a. escape conditioning b. avoidance conditioning c. positive punishment d. not enough information

At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use? Thanks! :)

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use?

Thanks! :)