A clothing manufacturer purchased 50 yd of cotton and 80 yd of wool for a total cost of $1,330. Another purchase, at the same prices, included 75 yd of cotton and 20 yd of wool for a total cost of $895. Find the cost per yard of the cotton and of the wool.

Answers

Answer 1

Answer:

The cotton is $9 per yard and the wool is $11 per yard

Step-by-step explanation:

Create a system of equations where c is the cost per yard for the cotton and w is the cost per yard for the wool.

50c + 80w = 1330

75c + 20w = 895

Solve by elimination by multiplying the bottom equation by -4:

50c + 80w = 1330

-300c - 80w = -3580

Add these together and solve for c:

-250c = -2250

c = 9

Plug in 9 as c into one of the equations, and solve for w:

50c + 80w = 1330

50(9) + 80w = 1330

450 + 80w = 1330

80w = 880

w = 11

The cotton is $9 per yard and the wool is $11 per yard.


Related Questions

If f(x)=|x−5|+2, find f(3).

Answers

Answer:

4

Step-by-step explanation:

Substitute 3 for x and solve.

|3 - 5| + 2

=|-2| + 2

= 2 + 2 = 4

What is the measure of angle A in the triangle below? 30° 45° 60° 90°

Answers

Ok done. Thank to me :>

What is the area of a triangle with a base of √10 and a height of √13 Will mark brainliest

Answers

Answer:

the answer is shown on the photo!

Answer:

a=570

Step-by-step explanation:

correct sure

Can someone please help me I will mark u brilliant

Answers

Answer for the first question: There are 13 pieces of pie left.

Step-by-step explanation: So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.

3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.

1/2= 4 because you just divide 8 by 2.

3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.

Therefore, there are 13 pieces of pie left.

1. First, let's have the pieces have the same denominator: 8!

3/8 is already fine

1/2 = 4/8

3/4 = 6/8

Now add up the numerators: 13 pieces were eaten.

Since there are 3 pies, there's 24 pieces total

24 - 13 = 11

11 pieces are left over

2. First, 3/4 x 6 = 4.5

1 1/2 x 5 = 7.5

4.5 + 7.5 = 12

-5 + 12 = 7

At 5:00 pm, it was 7 degrees.

Hope this helps!

How to solve 22 – 3y > 7

Answers

Answer:

y < 5

Step-by-step explanation:

22 – 3y > 7

=> 22 – 7 > 3y

=> 15 > 3y

=> y < 5

Therefore, y < 5 is the solution.

Hoped this helped.

The weights for newborn babies is approximately normally distributed with a mean of 5.5 pounds and a standard deviation of 1.6 pounds.


Consider a group of 800 newborn babies:


1. How many would you expect to weigh between 3 and 8 pounds?


2. How many would you expect to weigh less than 6 pounds?


3. How many would you expect to weigh more than 5 pounds?


4. How many would you expect to weigh between 5.5 and 9 pounds?

Please help and STEP BY STEP PLZ.

Answers

Compute each probability. The strategy is to transform X, a random variable representing the weight of newborns, to another random variable Z that represents the same but scaled quantity so that Z is normally distributed with mean 0 and s.d. 1. To do this, we use the rule

X = 5.5 + 1.6 Z

or

Z = (X - 5.5)/1.6

then use a calculator to compute the probability, or look it up in a table. Multiply this probability by 800 to find the number of newborns in each category.

1.

Pr[3 ≤ X ≤ 8] = Pr[(3 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (8 - 5.5)/1.6]

… ≈ Pr[-1.5625 ≤ Z ≤ 1.5625]

… ≈ 0.8818

Out of 800 babies, you would expect around 88% of them, or about 705 babies to weight between 3 and 8 pounds.

2.

Pr[X < 6] = Pr[(X - 5.5)/1.6 ≤ (6 - 5.5)/1.6]

… = Pr[Z ≤ 0.3125]

… ≈ 0.6227

Out of 800 babies, around 498 will weigh less than 6 pounds.

3.

Pr[X > 5] = Pr[(X - 5.5)/1.6 > (5 - 5.5)/1.6]

… = Pr[Z > -0.3125]

… ≈ 0.6227

same as (2) due to the symmetry of the distribution (Z is centered at zero). Out of 800 babies, you can expect around 498 in this group.

4.

Pr[5.5 ≤ X ≤ 9] = Pr[(5.5 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (9 - 5.5)/1.6]

… = Pr[0 ≤ Z ≤ 2.1875]

… ≈ 0.4857

Out of 800 babies, around 388 will weigh between 5.5 and 9 pounds.

which one is great 10% or 1.0- which on is greater 30% or 1/3- which one is greater 0.9 or 95%- which one is greater 80% or 5/8​

Answers

Answer:

see exp

Step-by-step explanation:

1.0, 1/3, 95%, 80%

The sum of two numbers is 43. The smaller number is 7 less than the larger number. What are the numbers?

Answers

Answer:

the expressions are: x + y = 43  and x - 13 = y

x = 28

y = 15

Step-by-step explanation:

hope this helps

may i get braineist pls

Answer:

Smaller is 18, larger is 25.

Step-by-step explanation:

x + y = 43

y = x - 7

x + (x - 7) = 43

2x - 7 = 43

2x = 50

x = 25 (larger)

25 - 7 = 18 (smaller)

Coffee is priced at 6.63

Answers

Answer:

ok, anddddd???

Step-by-step explanation:

I WILL GIVE YOU 200 pts please
1. √−36
2. √−8 ⋅ √−32
3. √− 15 ⋅ √− 25
4. (–3i) (4i)(–5i)
5. (7i)2(6i)
6. 42
7. 55
8. 89
9. (5 – 2i) + (–13 – 8i)
10. (7 – 6i) + (9 + 11i)
11. (–12 + 48i) + (15 + 21i)
12. (10 + 15i) – (48 – 30i)
13. (28 – 4i) – (10 – 30i)
14. (6 – 4i) (6 + 4i)
15. (8 – 11i) (8 – 11i)
16. (4 + 3i) (2 – 5i)
17. (7 + 2i) (9 – 6i)
18.
19.
2
7 − 8
20.
3–
21.
2–
6 + 5
−2
2 − 4
1 + 3
Solve each equation.
22. 52 + 35 = 0
23. 2 2 + 10 = 0
24. 4 2 + 76 = 0
25. −2 2 − 6 = 0
26. −5 2 − 65 = 0
27. 4 2 + 12 = 0
3
Find the values of ℓ and m that make each equation true.
28. 15 – 28i = 3ℓ + (4m)I
29. (6 – ℓ) + (3m)i = –12 + 27i
30. (3ℓ + 4) + (3 – m)i = 16 – 3i
31. (7 + m) + (4ℓ – 10)i = 3 – 6i
32. ELECTRICITY The impedance in one part of a series circuit is 1 + 3j ohms and the impedance in another part of the
circuit is 7 – 5j ohms. Add these complex numbers to find the total impedance in the circuit.
33. ELECTRICITY Using the formula E = IZ, find the voltage E in a circuit when the current I is 3 – j amps and the
impedance Z is 3 + 2j ohms.

Answers

1 = 6i

Add me Ill solve all Cloewyy#8905

How many minuteds does it take to make one balloon sculpture? How many balloons are used in one sculpture

Answers

Answer:

It will take 5 minutes to make one balloon structure. 7 balloons are used in 1 sculpture For part b the answer would be: Tom's unit rate for balloons used per minute would be 1.4

Step-by-step explanation:

Pls help need it right now :((
If the standard deviation of of the values 2,4, 6,8 is 2.236, the the standard deviation of the values 4, 8, 12, 20 is?​

Answers

Answer:

5.916

count N : 4

Sum, Ex : 44

Mean , M

Variance , o2 : 35

Step-by-step explanation:

we are creating the mean value of the squares of the differences of each data point to the mean value (variance), and then we pull the square root to bring the differences back to the same dimension as the basic data points.

and since we are dealing with the whole "population" of data points and not only with a sample of a much larger set of data points, that mean value of the differences is a true mean value (divide by n = the number of data points). if we would deal with a sample of a much larger population, we would divide by n-1.

so, how does this work in practice ?

let's go first for the given example :

2, 4, 6, 8.

the mean value is : (2+4+6+8)/4 = 20/4 = 5.

the variance (mean value of the squared differences of each data point to the mean value) :

((2-5)² + (4-5)² + (6-5)² + (8-5)²)/4 = (9+1+1+9)/4 = 20/4 = 5.

the standard deviation is the square root of the variance.

so,

SD = sqrt(5) = 2.236067977...

now for the given problem :

4, 8, 12, 20

the mean value is : (4+8+12+20)/4 = 44/4 = 11.

the variance (mean value of the squared differences of each data point to the mean value) :

((4-11)² + (8-11)² + (12-11)² + (20-11)²)/4 = (49+9+1+81)/4 = 140/4 = 35.

the standard deviation is the square root of the variance.

so,

SD = sqrt(35) = 5.916079783... ≈ 5.916

Help please

i will give brainliest

Answers

Answer:

1.69

Step-by-step explanation:

Women comprise 83.3% of all elementary school teachers. In a random sample of 300 elementary school teachers, what is the probability that fewer than 260 are women?

Answers

Using the normal approximation to the binomial, it is found that there is a 0.9319 = 93.19% probability that fewer than 260 are women.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

In this problem:

Women comprise 83.3% of all elementary school teachers, hence [tex]p = 0.833[/tex]A sample of 300 teachers is taken, hence [tex]n = 300[/tex]

The mean and the standard deviation for the approximation are given by:

[tex]\mu = np = 300(0.833) = 249.9[/tex]

[tex]\sigma = \sqrt{np(1 - p)} = \sqrt{300(0.833)(0.167)} = 6.46[/tex]

Using continuity correction, as the binomial distribution is discrete and the normal distribution is continuous, the probability that fewer than 260 are women is P(X < 260 - 0.5) = P(X < 259.5), which is the p-value of Z when X = 259.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{259.5 - 249.9}{6.46}[/tex]

[tex]Z = 1.49[/tex]

[tex]Z = 1.49[/tex] has a p-value of 0.9319.

0.9319 = 93.19% probability that fewer than 260 are women.

A similar problem is given at https://brainly.com/question/25347055

Help plz 20 points question is in the pic

Answers

I believe it is 5, the picture is kind of blurry but if 5 is a answer choice it is most likely 5

Which choice is equivalent to the product below?
v2.58
O A. 4./20
O B. 4/5
O C. 16.15
O D. 8/10

Answers

Answer:  Choice B)  [tex]\boldsymbol{4\sqrt{5}}\\\\[/tex]

Work Shown:

[tex]\sqrt{2}*\sqrt{5}*\sqrt{8}\\\\\sqrt{2*5*8}\\\\\sqrt{80}\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5}\\\\\boldsymbol{4\sqrt{5}}\\\\[/tex]

The rule I'm using is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]

Answer:

Option B

Step-by-step explanation:

√2 × √5 × √8

√2 × √5 × 2√2 [√8 = 2√2]

(√2 × √2) × √5 × 2

2 × √5 × 2

4√5

Option B is correct

Please help!! I will give a good rating and brainliest if it let's me!!!!

Answers

Answer:

3/4 is the slope

Step-by-step explanation:

slope= mx+b

so,

(10,30) is an exact meet

so is (50,60)

so what is the rise/run

answer

30/40

or

3/4

so mx+b=

3/4x+22

full equation is 3/4x+22

1. Kim's age is three times that of her sister. When you add Kim's age to her sister's age, you get 48. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (1 point) (b) Solve the equation from Part (a). Show your work. (4 points)

Answers

Answer:

3k=48

Step-by-step explanation:

k=kim's age

3k=48

/3

k=16

what is the equivalent factor of 21 +99 ​

Answers

Answer:

3(7+33)

Step-by-step explanation:

..Find the slope of a line that contains the points (0,1) and (1,3)

Answers

Answer:

m=2

Step-by-step explanation:

m=y2-y1/x2-x1

m=3-1/1-0

m=2/1

m=2

Answer:

2

Step-by-step explanation:

because i got it right on the quiz

PLEASE HELP I WILL GIVE BRAINLESS!!!!) Some friends play history trivia. Players gain 1 point for a correct answer. Players lose 1 point for an incorrect answer. The player with the greatest score wins. The players’ scores are shown in the table.

Answers

Answer:

Brett, Riley, Ellema, Jennifer, Kamal, Felipe

Step-by-step explanation:

You have put their scores least to greatest, -7<-5<-1<0<1<2<3

i need help with this question pls

Answers

Answer:

etra cheese

Step-by-step explanation:

mark me brainleist

Extra cheese , make me brainlest

Rob has dimes and quarters in a jar the ratio of dimes to quarters is 3 to 7 the jar contains 47 quarters what is the total amount of money in the jar.

Answers

Summarize given information. For every 7 quarters, theres three dimes. So divide 47 by 7 and multiply by 3 to find the amount of dimes. If there is a remainder left, further action must be taken.

47 / 7 = 6 (with remainder left over)  

In this case, only 42 would work therefore there are 5 extra quarters left. based on the number 6, there are 18 dimes and 42 quarters. Based on further calculations, of the five quarters left, there should be 2 dimes. So, the amount should become 20 dimes and 47 quarters leaving the percentage of 2.2 quarters per dime in this instant.

20 Dimes = $2

47 Quarters = $11.75

11.75 + 2 = 13.75

So there is about $13.75 in the jar.

Determine the slope of the line that contains the given points. E(-5,6), (4, -3) *
1 point
Your answer

Answers

Answer:

-1

Step-by-step explanation:

Use the slope formula to calculate

-3-6/4-(-5)

= -9/9

= -1 (Slope)


Three different sets of objects contain 2, 3, and 14 objects, respectively. How
many unique combinations can be formed by picking one object from each
set?
A. 28
B. 42
C. 84
D. 19

Answers

the answer is C, eighty four combinations

Answer:

C) 84

Step-by-step explanation:

Use the Fundamental Counting Principle, which states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. In this case, we have 2 ways to select one object from the first set, 3 ways to select one object from the second set, and 14 ways to select one object from the third set. So, we multiply and do 2*3*14=84

Therefore, there are 84 unique combinations

someone please help meeeeee

Answers

Answer:

B. (5,0)

Step-by-step explanation:

hope this helps

Answer:

B. (5,0)

Step-by-step explanation:

Place all the coordinates on the graph and then its pretty much self-explanatory after that. you just see which is closest to the subject. which, in this case, was the school.

Can someone help please?​

Answers

ANSWER: A. Associative property of multiplication

Find the unit rate if you got paid $104 for 8 hours of work
and said the answer is 52/4. Is he right or wrong?
what did he do wrong and what is the correct answer?

Answers

he is wrong because he didnt fully simplify the answer, and the answer is $13 per hour

The table below shows the cumulative distance and the number of hours Ryan drove on vacation.

Hours Driving Distance Traveled (miles)
0 0
3 186
4 248
7 434
10 620

Based on the information in the table, at what speed did he drive (miles per hour)?
A.
69 miles per hour
B.
62 miles per hour
C.
52 miles per hour
D.
42 miles per hour

Answers

Answer: 62 miles per hour

Step-by-step explanation:

620/10 = 62

The speed of Ryan is given by the slope m = 62 miles per hour

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 3 , 186 )

Let the second point be Q ( 4 , 248 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 248 - 186 ) / ( 4 - 3 )

m = 62 miles per hour

Hence , the rate of change of speed is m = 62 miles per hour

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Kori buys 9 packs of organic milk from the neighborhood store. Each pack is priced at $3.96. How much does Kori spend in all on her purchase?

Answers

Answer:

$35.64

Step-by-step explanation:

9 x 3.96 is 35.64

multiply 9 by 3, then 0.96 and add those answers together.

Answer: 35.64 dollars is your answer

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