Leah is mixing peanut butter candy (p) that sells for $3.60 per pound with chocolate candy (c) that sells for $2.00 per pound. She needs 50 pounds of the mixture to sell in her store for $2.16 per pound. Which system of linear equations can Leah use to determine the number of pounds of each candy to use?

Answers

Answer 1

Answer:

45 pounds of the chocolate candy and 5 pounds of the peanut butter candy.

Step-by-step explanation:

let's define the variables:

p = pounds of peanut butter candy she uses

c = pounds of chocolate candy she uses.

We know that she wants to have a total of 50 pounds of the mixture, then we will have that:

p + c = 50

We also want that these 50 pounds sell for $2.16 per pound.

Then we must have that the price for the candies in the mixture must be equal to the desired price, we can write this as:

p*$3.60 + c*$2.00 = (50 )*($2.16 )

Then we have the system of equations:

p + c = 50

p*$3.60 + c*$2.00 = (50)*($2.16) = $108

To solve this, we first need to isolate one of the variables in one of the equations. I will isolate p in the first equation to get:

p = 50 - c

Now we can replace this in the other equation to get:

(50 - c)*$3.60 + c*$2.00 = $108

Now we can solve this for c.

$180 - c*$3.60 + c*$2.00 = $108

$180 - c*$1.60 = $108

$180 - $108 = c*$1.60

$72 = c*$1.60

$72/$1.60 = c = 45

This means that she should use 45 lb of the chocolate candy, and using the equation:

p + c = 50

p + 45 = 50

p = 50 - 45 = 5

p = 5

She should use 5 lb of the peanut butter candy.


Related Questions

I don’t know how to get the answer

Answers

Answer:

c = 88

Step-by-step explanation:

c = 180 - a - b

c = 180 - 43 - 49

c = 137 - 49

c = 88

Answer:

c= 88

Step-by-step explanation:

What you want to do is take (a) which it says is 43 and (b) which it says is 49 and plug them into the equation. Here it says c = 180 - a - b so what you would do is take c=180-43-49 or c=88.

Hopefully that helps ;)

Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.084°C.
P(Z>-0.084)

Answers

Answer:

0.53347

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = -0.084 °C

μ is the population mean = 0 °C

σ is the population standard deviation = 1°C

Z score =x - μ/σ

= -0.084 - 0/1

= -0.084

Probability value from Z-Table:

P(x<-0.084) = 0.46653

P(x>-0.084) = 1 - P(x<-0.084) = 0.53347

The probability of obtaining a reading greater than -0.084°C = P(x > -0.084) =

is 0.53347

2 1/2 + 2 1/3 + 3 2/3

Answers

Answer:

8 1/2

Step-by-step explanation:

2 1/2 + 2 1/3 + 3 2/3

= 2 3/6 + 2 2/6 + 3 4/6

= 7 9/6

= 8 3/6

= 8 1/2

What is the equivalent exponential expression for the radical expression below help last time

Answers

Answer:

A

Step-by-step explanation:

B is wrong because 5^2 = 25

C is wrong because 5 is not equal to √5

D is wrong because 25 is not √5 but 5^2

How many yards are equal to 144 inches? (15 points)

Select one:
a. 4 yards
b. 12 yards
c. 36 yards
d. 5,184 yards

Answers

Answer:

A- 4 yards

Step-by-step explanation:

Hope this helps!

Have a nice day <3

After changing the unit of 144 inches into yards the number equivalent to 144 inches is 4 yards. Hence option (a) is true.

Given that,

Change the number 144 inches into yards.

Used the concept of measurement unit which stated that,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

Since we know that,

1 yards = 36 inches

1 inch = 1/36 yards

So, we can change the number 144 inches into yards,

1 inch = 1/36 yards

144 inches = 144/36 yards

= 4 yards

Therefore, 144 inches is equivalent to 4 inches.

Option (a) is true.

To learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ6

maggie needs to make 6 tablecloth's she uses 3 3/5 yards of fabric for each tablecloth which is the shortest roll that will have enough fabric to make all the tablecloths

Answers

Answer:

21 3/5

Step-by-step explanation:

I think the answer is 21 3/5 because

6×3 3/5=21 3/5 but I'm not positive.

Solve for u.
11u = -22
Simplify your answer as much as possible. <3

u = ???

Answers

Answer:

u=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

11u=−22

Step 1: Divide both sides by 11.

11u

11

=

−22

11

u=−2

Answer:

u=−2

Need help on this for brainliest

Answers

Answer:

Your answer is letter d

Step-by-step explanation:

use the graph f(x)=-x^2+8x+20 to determine the values of m for which m= -x^2+8x+m=0 will have two positive roots​

Answers

Answer:

first root -2 and the second is 10

Step-by-step explanation:

delta=b squared-4ac=64-4(-1)(20)=144>0

then we have 2 +roots

x1= -b+ radical delta/2a =-2

x2=-b - radical delta/2a=10

The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.

What is a polynomial?

A polynomial is an expression that involves the addition, subtraction and multiplication of variables.

A quadratic polynomial is a polynomial of degree 2.

Given that:

f(x)=-x² + 8x + 20

To determine the values of m for which -x² +8x+m=0 would have two positive roots​

For -x² +8x+m=0 to have two positive roots, m ≤ 0.

The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.

Find out more on polynomial at: https://brainly.com/question/2833285

250 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 250 students, 100 plan to major in mathematics, 80 plan to major in computer science and 20 plan to pursue a double major in mathematics and computer science.

Let M be the even that a randomly selected student plans to major in mathematics and C be the event that a randomly selected student plans to major in computer science.

What is P(M), the probability that a student plans to major in mathematics?
What is P(C), the probability that a student plans to major in computer science?
What is P(M and C), the probability that a student decided to major in mathematics and computer science?
What is P(M or C), the probability that a student has chosen to major in mathematics or computer science?

Answers

Answer: Program C allows students to earn a Mathematics degree (B.A. or B.S.) by combining courses in the Department of Mathematics with courses from one other department.  In most areas of specializations, mathematical and/or quantitative courses in other departments are part of the math degree program.  All Program C students take a minimum of five core math courses:  Calculus I, Calculus II, Calculus III, Introduction to Linear Algebra, and a proofs course, usually either Introduction to Abstract Algebra or Fundamental Properties of Spaces and Functions I.

Step-by-step explanation: Hope this helps.

Answer:

2/5

8/25

2/25

16/25

Step-by-step explanation:

Please answer my question

Answers

Answer:

A

Step-by-step explanation:

A cube has a volume of 27 mm. What is the length of each edge of the cube? Plz help

Answers

Answer:

The length of each edge of the cube is 3 mm

Step-by-step explanation:

A cube has a volume of 27 mm.

Volume of cube = l³

l³ = 27 mm

l = 3 mm

Thus, The length of each edge of the cube is 3 mm

-TheUnknownScientist

Write the equation in standard form for a circle that has a diameter with endpoints (8,0) and (-8,0)

Answers

Answer:

x²+y² = 64

Step-by-step explanation:

The standard form of writing the equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given the diameter of the circle with endpoints (8,0) and (-8, 0)

d = √(x2-x1)²+(y2-y1)²

d = √(-8-8)²+(0-0)²

d = √(-16)²

d = √256

d = 16

radius r = 16/2

r = 8

The centre of the circle will be the midpoint of the coordinates

M = (8-8/2, 0+0/2)

M = (0/2, 0/2)

M = (0,0)

Hence the centre is at (0,0)

Get the required equation

Recall that (x-a)²+(y-b)² = r²

Substitute the centre and the radius

(x-0)²+(y-0)² = 8²

x²+y² = 64

This gives the required equation

[tex]\sqrt[3]{-125^{4} }[/tex]


plz give me the full step

Answers

Answer:

-166.6666667

Step-by-step explanation:

the full step u r welcome

9. Zane owes his dad money for his cell phone that he
lost. So far, Zane has paid his dad $23, and he will pay
his dad an additional $45 each month until he has
repaid him for the phone. Which equation shows the
relationship between m, the number of months that
Zane has been making payments and t, the total
amount he has paid his dad?

Answers

Answer:

T=45m+23

Step-by-step explanation:

Answer:

T=45m+23

Step-by-step explanation:

hi someone fill out this chart pls. will give brainly if u do it correctly

Answers

Answer:

1 → 10

2 → 1000

3 → 16

4 → 64

5 → 6

6 → 36

7 → 7

8 → 343

HALP PLEASE!!!!!!!! I RRALLY NEED TO GET THIS DONE​

Answers

Answer:

E = (-3a, -2b)

O = (3a, 2b)

M = (3a, -2b)

Step-by-step explanation:

Plz plz plz plz plz plz find x

Answers

Answer:

36 i think

Step-by-step explanation:

Sandra bought a pair of leather boots that were marked down by 20%. The original cost of the boots was $150. What did Sandra pay for the boots

Answers

Answer:

130 maybe

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

It is 120 because if you do 20% of 150 that's 30 so subtract that with 150 leaving you 120.

Number 10 please help 10 points no links pleAse

Answers

Answer:

A. (8,14)

Step-by-step explanation:

When looking at the chart pairs there is no other matching option than (8,14).

You have to look in at each column to see the pairs (ex. 8,16 and 4,10).

The answer would be (8,14)

What is the volume of the prism below?
A. 56 units 3
B. 144 units
C. 288 units
D. 180 units

Answers

Answer:

C ,288

Step-by-step explanation:

hope this helps

8. Sheila and her study partner flipped a coin 120 times. They flipped 70 heads and 50 tails. What is the
experimental probability that the next flip will be heads up?
F 58%
58%
G 50%
H 41%
J 70%

Answers

Answer:

.

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

To find the amount of percent a value takes up, here's the formula:

Let X = heads

Let y = amount of coinflips

Let z = percent of coinflips are heads

z=x/y

What single decimal multiplier would you use to decrease by 13% followed by a 6% decrease?

Answers

Answer:

Pretty sure it's 0.8178

Step-by-step explanation:

:)

how many times is 3 in 43.999 than the value of the digit 3 in 42.103

Answers

Answer:

1. 14.666 ¯ over the 3

2. 14.034 ¯ over the 3

Step-by-step explanation:

Make q the subject of the formula p = 2q2 .​

Answers

Answer:

q = ± [tex]\sqrt{\frac{p}{2} }[/tex]

Step-by-step explanation:

Given

p = 2q² ( divide both sides by 2 )

[tex]\frac{p}{2}[/tex] = q² ( take the square root of both sides )

± [tex]\frac{p}{2}[/tex] = q

Answer:

q = +√p/2

Step-by-step explanation:

p = 2q²

divide both sides by 2 and root we get,

√p/2 = √2q²/2

√p/2 = q

q = +√p/2

Thus, q = +√p/2

-TheUnknownScientist

If angle 3 is 3x and angle 5 is 2x+30, what are the measures of angle 3 and 5?

Answers

Answer:

23

Step-by-step explanation:

plsss helppppp I need it right now plss :(

deadline now until 6:00pm and its 5:30pm here so plsss :(​

Answers

Answer:

a) IJ is median

IJ = 1/2(HG + EF)IJ = 1/2(8 + 12) = 10 cm

b) I is midpoint of HE, therefore, HI = IE

Substitute values and solve for x:

10 = x - 4x = 10 + 4x = 14 cm

Answer:

a) IJ is median

IJ = 1/2(HG + EF)

IJ = 1/2(8 + 12) = 10 cm

b) I is midpoint of HE, therefore, HI = IE

Substitute values and solve for x:

10 = x - 4

x = 10 + 4

x = 14 cm

Step-by-step explanation:

Evaluate the function.

Answers

Answer:

Step-by-step explanation:

Nothing further can be done with this topic.  

f ( x ) = 3 x 2 − 10 x − 9

Plzzzz help worth 30 points plzzzz help

Answers

Answer:

$0.70

Step-by-step explanation:

if d = 14in, what is the radius?

Answers

Answer:

radius= 7

Step-by-step explanation:

the radius is half of the diameter.

i hope this helps :)

Answer:

The radius is 7in.

Step-by-step explanation:

D stands for diameter. To find the radius, you divide the diameter by 2.

14/2 = 7

Therefore, the radius is 7.

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