A fabric store sells two types of ribbon. One customer buys 3 rolls of the lace ribbon and 2 rolls of the satin ribbon and has a total of 120 yards of ribbon. Another customer buys 2 rolls of the lace ribbon and 4 rolls of the satin ribbon and has a total of 160 yards of ribbon. How many yards are on one roll of lace ribbon and one roll of satin ribbon?

Answers

Answer 1

Let L be the number of yards on a roll of lace ribbon. Let S be the number of yards on a roll of satin ribbon. We can set up two equations. equation 1: 3L + 2S = 120 yards equation 2: 2L + 4S = 160 yards We can multiply (equation 1) by 2 and subtract (equation 2). equation 1: 6L + 4S = 240 yards equation 2: 2L + 4S = 160 yards 4L = 80 yards L = 20 yards equation 1: 3L + 2S = 120 yards 3(20 yards) + 2S = 120 yards 2S = 60 yards S = 30 yards There are 20 yards on a roll of lace ribbon. There are 30 yards on a roll of satin ribbon.

Answer 2

Answer:

20 and 30. that's your answer.

Step-by-step explanation:

Related Questions

Geometry help please

Answers

The area is The (base * Height)/2

This means that the area is...
(20*5)/2 = 50

Hope this helps! :)

area = 1/2 base x height

1/2 x 20 x 5 = 50

answer is B 50

Find the cost per ounce of a sunscreen made from 100 oz of a lotion that costs $1.50 per ounce and 150 oz of a lotion that costs $4.50 per ounce. (round your answer to the nearest cent.)

Answers

Is this the full question, because if it is, then the answers are $1.50 and $4.50.

The net below is for a number cube. What are the three sums of the numbers on opposite surfaces of the cube?

Answers

I think the way you do it is you just add the numbers that are opposite of each other. A way you can figure it out is by imagining the net folding into a cube. The numbers that are opposite each other are 5 and 6, 2 and 4, and 1 and 3. 5+6=11, 4+2=6, and 1+3=4. 11, 6, and 4 are your answers.

what is thr difference between dividing 16 by 2 and finding the square roots of 16?

Answers

When you divide a number by two, you find the number that if you add it to itself, become the original number.

When you square root a number, you find the smaller number that becomes the bigger number if you multiply it by itself.

For sixteen, if you divide it by two, you get 8, while if you square root it, it becomes 4.

The difference between them is 4

Difference between both operations

To solve this, let us find the value of 16 by 2

[tex]\frac{16}{2} = 8[/tex]

What is the square root of 16?

The square root of 16 is given as

[tex]\sqrt{16} = 4[/tex]

The difference between dividing 16 by 2 and square root of 16 is

[tex]8 - 4 = 4[/tex]

The operations which we performed are

[tex]\frac{16}{2}[/tex][tex]\sqrt{16} = 4[/tex]

And the difference between them is 4.

Learn more on mathematical operations here;

https://brainly.com/question/10873737

Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.

Answers

This is what I found and your cute
Answer
Hi,

a) x² +8x + 16 = 7

(x + 4)² = 7

Take the square root of both sides, remembering the ± sign on the right.

√(x + 4)² = ±√7

x + 4 = ±√7

x = -4 ± √7 <==ANSWER

b) x² -6x +9 = 8

(x - 3)² = 8

√(x - 3)² = ±√8

x - 3 = ±2√2

x = 3 ± 2√2 <==ANSWER

Answer: ( x - 4 )² = 25

The solutions to the quadratic equation

x2 – 8x – 9 = 0. are

-1 and 9

The distance formula is d=r/t. how long will it take (in hours) to travel 100 miles at a rate of 22mph? Show all work.

Answers

divide the distance ( 100 miles) by the speed ( 22 mph) to get the time

100/22 = 4.545454 hours (Round to 4.5 hours ?)

if you need hours and minutes multiply 0.545454 by 60 to get the minutes

4 hours 32.7 ( round to 33) 4 hours and 33 minutes

t - 5w = 3j solve for t (literal equations)

Answers

T-5w=3j
T=5w+3j
Yes this is the answer

T - 5w = 3j
T = 3j + 5w

hope it helps

How do I solve this

Answers

Hello,

[tex]x^2-2x-27=-5x+1\\ x^2-2x+5x-27-1=0\\ x^2+3x-28=0\\ x^2+7x-4x-28=0\\ x(x+7)-4(x+7)=0\\ (x+7)(x-4)=0\\ x=-7\ or\ x=4\\ [/tex]

The answer is X1=-7, x2=4.

Vivian solved an equation. she showed all her steps and got the correct answer. what kind of reasoning did vivian use to solve the equation? convenient inductive predictive deductive

Answers

The type of reasoning that Vivian used into solving the equation is the deductive. This type of reasoning is able to describe on how the equation is done and this could be seen in the given scenario above as she was able to show the steps in obtaining the correct answer.

he editors found that 0.0016 of the words in the book were misspelled. if there were 250,000 words in the book how many words were spelled properly

Answers

Since 0.0016 of the words were misspelled (and it's not in a percent), we can multiply 250,000 by 0.0016 to get 400

the answer is 400
(⌐■_■)

The midpoint of a segment is (6,−4) and one endpoint is (13,−2). find the coordinates of the other endpoint.

Answers

I hope this helps you can use the formula to find the middle point just replace the unknown x and y into the equation

What is x in 7x+2x-5=0

Answers

7x+2x-5=0

7x+2x=9x, so, now we have this:

9x-5=0, we, because is equal with 0, the terms are equal between them.

9x=5

x=5/9

Use the number line below to find the midpoint of AD

Answers

midpoint of line AD = (-7+1) ÷ 2
= -6 ÷ 2
= -3

The midpoint of AD is -3.

Write an equation of the line containing the point (3,5)and perpendicular to the line 2x- 3y

Answers

Answer:

The equation of the line would be y = -3/2x + 19/2

Step-by-step explanation:

First we need to solve the original equation for y so that we can find the slope.

2x - 3y = 0

-3y = -2x

y = 2/3x

So since the equation has a slope of 2/3, we know the perpendicular slope would be -3/2 (since perpendicular slopes have opposite and reciprocal slopes). Then we can use this and the ordered pair in point-slope form.

y - y1 = m(x - x1)

y - 5 = -3/2(x - 3)

y - 5 = -3/2x + 9/2

y = -3/2x + 19/2

The Pythagorean formula is c^2 = a + b.
true
false

Answers

false.

the Pythagorean formula is c^2 = a^2 + b^2

You lose 3 pounds per week on your new diet. What integer represents the change in your weight after 3 weeks

Answers

Hello,

If you lose 3 pounds per week, after 3 weeks you lose (3)(3) = 9 pounds.

The change in your weight is represented by the integer 9 (pounds).

Hope this helps!

In your first week- 3 pounds is lost

#3 weeks later= 3 x 3
= 9

Thus 3 weeks later 9 pounds is lost

Geometry Help
1. The vertex angle of an isosceles triangle is always acute. (True/False)
2. The base angles of isosceles triangles are always complementary.(True/False)
3.All of the sides of an isosceles triangle are always congruent. (True/False)

i think the first one would be true, second true, and third one would be false... need confirmation

Answers

you got it!
TRUE
TRUE
FALSE

1. The vertex angle of an isosceles triangle is always acute: FALSE, since it can be acute or obtuse

2. The base angles of isosceles triangles are always complementary: FALSE, it's true ONLY in an isosceles RIGHT ANGLE triangle, where the angle at the base each equal 45°

3.All of the sides of an isosceles triangle are always congruent: FALSE, all sides are all congruent in an EQUILATERAL triangle

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

Answers

Let the smaller number be n:
Therefore 1/2 * n(n+1) = 105
n^2 + n = 210
n^2 + n - 210 =0
Use your preferred method to solve the quadratic, I'll factorise this since this is easy to factorise.
Two numbers':
product gives -210
summation gives 1
Therefore (n+15)(n-14)=0
So the smaller number n is either -15 or 14.

Answer with Step-by-step explanation:

We are given that:

Half of the product of two consecutive numbers is 105.

Let smaller number be n

Then, larger number will be n+1

[tex]\dfrac{1}{2}n(n+1)=105[/tex]

Multiplying by 2 on both sides, we get

n(n+1)=210

n²+n=210

n²+n-210=0

On splitting the middle term

n²+15n-14n-210=0

n(n+15)-14(n+15)=0

(n-14)(n+15)=0

either n-14=0 or n+15=0

either n=14 or n= -15

When n=14, n+1=15

when n= -15, n+1= -14

Hence, equation used to solve for n was:

[tex]\dfrac{1}{2}n(n+1)=105[/tex]

A limousine service determines that its per-mile cost is $.36 and that it incurs $48 in miscellaneous expenses for each reservation.The service charges $3.56 per mile. What number of miles represents the break-even point?

Answers

2)

the limousine charges 3.56 per mile driven, so, their income from the sales, or revenue is say... if they drive "m" miles, then is 3.56*m or 3.56m.

now, their costs, how much does it cost to have the limousine up and rolling and a chaffeur and other, well, it boils down to $48 for each reservation, and it costs 36 cents or $0.36 per mile driven, so, if they drive for "m" miles, then the cost for that will be 0.36*m or 0.36m. So the total cost is 48 + 0.36m

when is the break-even point?

the break-even point is when... well, you break-even, when the income or sales is the same as the costs, so, you're not really losing any money, you're getting as much as you're spending, but you're not making any surplus or profit either. That happens when the Revenue = Costs.

[tex]\bf \stackrel{revenue}{3.56m}=\stackrel{costs}{48+0.36m}\implies 3.56m-0.36m=48\implies 3.2m=48 \\\\\\ m=\cfrac{48}{3.2}\implies m=\stackrel{miles}{15}[/tex]

3)

the costs for the grower for planting and caring for a tree is 18.53, so if he plants say "t" trees, then the costs will be 18.53*t or 18.53t.

there's a fixed costs, overhead, for managing the farm, workers, cashiers, forklifts and so on, of $600.

so the total costs is then, 18.53t + 600.

now, he plans to charge for each tree 65 bucks, so if sells "t" trees, the Revenue is 65*t or 65t.

again, what's the break-even point? well Revenue = Costs

[tex]\bf \stackrel{revenue}{65t}=\stackrel{costs}{18.53t+600}\implies 65t-18.53t=600\implies 46.47t=600 \\\\\\ t=\cfrac{600}{46.47}\implies t\approx \stackrel{trees}{12.91}[/tex]

so, the break-even point is at 12.91 trees, or 12 trees and 0.91 of another, I guess you'll just have to chop off a few branches to make it 0.91, but anyhow, if we go up to say 13 trees, the break-even point is passed and he's on the black ink, he's making profit.

so, he'll start making profit after the 12th tree sold.

4)

is the same thing more or less.

costs is $7000 in overhead, plus 24.5 for one scooter, if he makes "s" scooters, then the costs are 24.5s, so total costs is 7000 + 24.5s.

revenue is the price times quantity, if the quantity is "s" and the price is 36.75, then the revenue is 36.75s.

when he doesn't lose money? well, is the same break-even point, not making profit, but not losing money either.

[tex]\bf \stackrel{revenue}{36.75s}=\stackrel{costs}{7000+24.5s}\implies 36.75s-24.5s=7000 \\\\\\ 12.25s=7000\implies s=\cfrac{7000}{12.25}\implies s\approx \stackrel{scooters}{571.43}[/tex]

so, the break-even point is at 571.43 scooters, so using whole numbers wil just be 571 scooters then, well, you can't have 0.43 unless you're going to saw off the scooter, in which case you won't sell it anyway.

Three times the sum of a number and six is greater than four times the number decreased by two

Answers

3(x+6)>4x-2 hope this helped

Final answer:

The mathematical problem is to express 'Three times the sum of a number and six is greater than four times the number decreased by two' as an inequality, resulting in 3(n + 6) > 4n - 2, which simplifies to n < 20.

Explanation:

The question involves translating a word problem into an algebraic inequality. The problem statement 'Three times the sum of a number and six is greater than four times the number decreased by two' can be translated into the inequality 3(n + 6) > 4n - 2, where n represents the unknown number.

To solve this inequality, we would first expand the left side of the equation by distributing, resulting in 3n + 18 > 4n - 2. Then, we would get all n terms on one side and constants on the other, leading to the inequality n < 20.

A minor league baseball team plays 117 games in a season. if the team won 13 more than 3 times as many as they lost. how many wins and losses

Answers

W + L = 117
W = 3L + 13

3L + 13 + L = 117
4L + 13 = 117
4L = 117 - 13
4L = 104
L = 104/4
L = 26 <=== 26 losses

W = 3L + 13
W = 3(26) + 13
W = 78 + 13
W = 91 <=== 91 wins

Which answer is equal to i^39

i

1

−1

−i

Answers

[tex]i^{39}=i^{36+3}=i^{36}*i^3=1*-i=-i[/tex]

Good question by the way

Answer:

Step-by-step explanation:

stays postive

If a is divisible by b, then a divided by ÷b has a remainder of

Answers

0 is the answer because if it is divisible, that means that a would have to be able to go into b evenly

Find the equation of the tangent line to the curve 4x3+2y2−11=4xy−x at the point (−1,2).

Answers

hello : let : y = f(x) so : y' = f'(x)
calculate : f'(x) and : f'(-1) given f(-1) = 2

by derivate : 4x3+2y2−11=4xy−x
12x² +4yy' = 4y +4xy' - 1
4yy' - 4xy' = - 12x² +4y -1
y' ( 4y - 4x) = 4y -12x² -1 ...(*)
if x = -1 y = 2 subsct in : (*)
y' (4(2)-4(-1)) = 4(2)-12(-1)² - 1
2y' = - 9
y' = - 9/2 = f'(- 1) ( the slope of the tangent )
of the tangent line to the curve at the point (−1,2) is :
y - 2 = (-9/2)(x +1)

Triangle MRN is created when an equilateral triangle is folded in half. What is the value of y?

A. 2√3 units
B. 4 units
C. 4√3 units
D. 8 units

Answers

we know that

If Triangle MRN is created when an equilateral triangle is folded in half

then

[tex]RM=\frac{1}{2}*MN[/tex]

[tex]MN=6+2=8\ units[/tex]

[tex]RM=\frac{1}{2}*8=4\ units[/tex]

Applying the Pythagorean Theorem in triangle MRN

[tex]MN^{2}=NR^{2}+RM^{2}[/tex]

we have

[tex]MN=8\ units[/tex]

[tex]RM=x=4\ units[/tex]

[tex]NR=y[/tex]

substitute

[tex]8^{2}=y^{2}+4^{2}[/tex]

solve for y

[tex]y^{2}=8^{2}-4^{2}[/tex]

[tex]y^{2}=48[/tex]

[tex]y=\sqrt{48}=4\sqrt{3}\ units[/tex]

therefore

the answer is the option C

[tex]4\sqrt{3}\ units[/tex]

Answer:

The correct option is C.

Step-by-step explanation:

It is given that triangle MRN is created when an equilateral triangle is folded in half.

It means original equilateral is triangle MNO and NR is a perpendicular bisector. The side length of the triangle is

[tex]MO=NO=MN=MS+SN=2+6=8[/tex]

Since NR is a perpendicular bisector, therefore

[tex]RM=\frac{MO}{2}=\frac{8}{2}=4[/tex]

Using Pythagoras property in triangle MNR,

[tex]MR^2+NR^2=MN^2[/tex]

[tex]4^2+y^2=8^2[/tex]

[tex]y^2=64-16[/tex]

[tex]y=\sqrt{48}[/tex]

[tex]y=4\sqrt{3}[/tex]

Therefore option C is correct.

A population of rabbits triples every month. The population starts with two rabbits. How many rabbits are there after three months?

Answers

If it triples every month, we would multiply last month's by 3. Sooo...
Month 1: 3 rabbits.
Month 2: 9 rabbits.
Month 3: 27 rabbits.
Month 4: 81 rabbits.
We could keep going, but you're looking for after 3 months, which the answer would be 27 rabbits.

I hope this was helpful! :>

The number of cars (c) in a parking lot increases when the parking fee (f) decreases. Write the correct equation for this scenario, and solve for the number of cars when the fee is $6. Fee Cars 20 15 30 10

Answers

Data:

Fee   Cars
20     15
30     10

Given that you have only two set of data, you can only assume a linear model.

To find the linear model (equation) that predict the number of cars (x) as a functionn of the parking fee (f) you follow, using only two set of data, follow this procedure:

1) Find the slope, m

m = [10 - 15] / [30 - 20] = - 5 / 10 = - 0.5

2) Use the slope-point equation

y - y1 = m (x - x1)

=> y - 10 = - 0.5 (x - 30)

=> y - 10 = - 0.5x + 15

=> y = - 0.5x + 15 + 10

=> y = - 0.5x + 25

or c = - 0.5 f + 25 <-------- equation

Now you can replace 6 for f to get the number of cars when the fee is $6

c = - 0.5 (6) + 25 = - 3 + 25 = 22 <---- this is the number of cars when fee is $6

Answers:

c = - 0.5 f + 25

number of cars = 22

What's the answer to 1/6d+2/3=1/4(d-2) and can someone explain/work this out with me?

Answers

1/6d + 2/3 = 1/4(d - 2)...first, distribute thru the parenthesis
1/6d + 2/3 = 1/4d - 1/2....multiply everything by the common denominator 12
2d + 8 = 3d - 6 ...subtract 3d from both sides
2d - 3d + 8 = -6 ...subtract 8 from both sides
2d - 3d = -6 - 8.....simplify
-d = - 14...multiply both sides by -1 to make d positive
d = 14

1/6d+2/3=1/4(d-2)
distribute
1/6d+2/3=1/4d-1/2
add 1/6d to both sides
2/3=5/12d-1/2
add 1/2 to both sides
7/6=5/12d
divide by 5/12
2 4/5=d
Hope this helps!

Find the mode of this data set: 3, 3, 4, 8, 5, 8, 1, 6, 7.

Answers

The modes are: 3 and 8

What Do You Call It When Police Interrogate a Cow's Husband? *the answer isn't " Question-a-bull** && the answer is 12 letters long

Answers

The key in this problem is to find the answer in each number and then cross out the box containing that solution. Here are the following answers with their corresponding letters that need to be crossed out.

1 . 12 LK

2. 9 AM

3. -8 ST

4. -15 SH

5. 33 IN

6. -36 OO

7. 44 OP

8. 14 CO

9. 27FT ME

10. 23 ED

11. $580 WS

12. 11 DEGREES CELSIUS TO

13. 29 IT

14. -35m JA

After crossing out those letters, the answer for what do you call a when a policeman interrogate a cow's husband is QUESTIONABLE.

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