A fabric store sells silk and cotton and you have $40 to spend on fabric for a dress. Silk is $16 per yard, while cotton is $4 per yard. It will take 5.5 yards of fabric to make the dress.

1. Write a system of equations to represent this scenario
2. Graph the system of equations
3. How many solutions does this system have? If one solution determine what the solution is and what the solution represents
4. Show that the solution found on the graph is the same solution found by using algebraic method for solving systems of equations.

Answers

Answer 1

Answer:

(a) x + y = 5.5

16x + 4y = 40

Step-by-step explanation:

Answer 2
16x + 4y= 5.5 i’m pretty sure

Related Questions

Question:
A running club keeps track of the number of hours each person has trained for a race and the length of time it takes the person to run the race. A scatter plot is graphed with the x-axis indicating the number of hours a runner has trained and the y-axis indicating the time, in minutes, it took to run the race. The equation y = 60 - 0.5x is used as the line of best fit of the data. What does the slope of the equation represent?

options:

a
Runners will decrease their race time by 2 minutes for every 1 hour they have trained.
b
Runners will increase their race time by 2 minutes for every 1 hour they have trained.
c
Runners will increase their race time by 1 minute for every 2 hours they have trained.
d
Runners will decrease their race time by 1 minute for every 2 hours they have traine

Answers

The solution is, 60 minutes is a good prediction of how long it will take Tom to run the 6 mile race.

What is scatter plot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

Here, we have,

We are given the scatter plot which shows the distance he has run and the time it took for each run.

We are asked to determine a good prediction of how long it will take Tom to run the 6 mile race?

One way to predict the time is by drawing a line that best fits the given data.

As you can see, from the line of best fit, the time corresponding to the 6 miles is around 60 minutes.

Therefore, 60 minutes is a good prediction of how long it will take Tom to run the 6 mile race.

Read more on scatter plot here:

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complete question:

Tom is training for a 6 mile race. The following scatter plot shows the distance he has run and the time it took for each run. What is a good prediction of how long it will take Tom to run the 6 mile race?A) 55 minutes B) 50 minutesC) 60 minutes D) 70 minutes

Please explain. This is for me and a friend too. NO LINKS OR I WILL REPORT YOU!!

Have A Great Day/Night!!! :) :) :) :) :)
How are you? :) :) :) :) :)

Answers

Answer:

Step 2: 47

Step 3: 84

Step 4: 114

Step-by-step explanation:

Step 2: The width is 21, and the length is 36.

Sum is addition, so it would be 21 + 36.

21 + 36 = 47

Step 3: 47 x 2 = 84

Step 4: Perimeter is all around, whilst area is on the inside. The length is 21, so it is 21 + 21. 21 + 21 is 42. The width is 36, so it is 36 + 36, which is 72. 72 + 42 = 114.

Step 2:47
Step3: 84
Strp4: 114

BRAINLIEST FOR DIS MF!!!!!!!!!!!!!!!!!!!!!!

Answers

the first answer is 6x-2=46 and the third is 8 months
A= 2x-6=48 basically

A storage box has a height of 8 inches, length of 4 inches, and a width of 4 inches. I use cubes with an edge length of 12 inch. If the box is completely full, how many cubes will fit in the storage box?

Answers

Answer:

3

Step-by-step explanation:

8×4=32×4=128

12×3=36

128÷36= 3.5

but u need to put full cubes which would be 3

The answer is 3 I don’t really know how to explain it

PLEASE HELP ON THIS!!


An archaeologist ropes off a dig site using four pieces of rope that have the lenghts of 12 feet, 13 feet, 10 feet, and 11 feet. Name all of the possible four-sided shapes that the archaelogist can enclose with the rope.
HERE ARE THE OPTIONS:
Trapezoid
Parallelogram
Rhombus
Rectangle
Square

Answers

Answer: Okay I might be able to help with this

Step-by-step explanation: Square, Rectangle, Trapezoid and Parallelogram

i think it’s just trapezoid maybe rhombus

HEY CAN SOMEONE HELP ME FAST I GIBE BRAINLIST

Answers

Answer:

4

Step-by-step explanation:

Add all the "x" 's up.

1(2)=2

2(1)=2

3(1)=3

4(1)=4

5(4)=20

6(1)=6

7(1)=7

you add those up to get 44.

Now add all the individual "x" 's which equal 11.

44/11=4

Should be 4 because there is three on the left side and three on the right

I need to get aleks done on june 3oth

Answers

Answer:

3.2

Step-by-step explanation:

Since it is similar, we know that the sides are gonna be directly proportional so

QR (6.4) / BC (4) = scale factor of 1.6

1.6 x 2 = 3.2

Answer is 3.2 to your aleks

A regulation baseball diamond is a square with 90 feet between bases. How far is the second base from the home plate to the nearest foot? Please include work for brainliest.

Answers

Answer:

180

Step-by-step explanation: first base is 90 feet away so 90 x 2 = 180

the answer is 180…
hope this helps

help for brainliest plz

Answers

Answer:

B) One solution: x=1, y=4

Step-by-step explanation:

The number of points of intersection mark how many solutions there are. In this case, the two lines only intersect at one point, hence one solution. This point is located at (1, 4).

one solution/x=1, y=4

Using inverse operations is a direct way to solving equations

What is the Golden Rule for solving equations?

Answers

Answer:

Do unto one side of the equation, what you do to the other!

Step-by-step explanation:

An equation is like a balance scale. If we put something on, or take something off of one side, the scale (or equation) is unbalanced. When solving math equations, we must always keep the 'scale' (or equation) balanced so that both sides are ALWAYS equal.

Answer:

Keeping the equation balanced.

Step-by-step explanation:

You need to keep the equation balanced on both sides of the equal sign, like when you need to get rid of the number 4 on one side you have to do the same thing on the other side.

find the missing side lengths pls help and thanks

Answers

Answer:

missing side =12 cm

Step-by-step explanation:

let missing side be x

take these ratios

15/10=18/x

do cross multiplication

10*18=15*x

180=15x

180/15=x

12=x

Answer:

(a) = 12 :)

Step-by-step explanation:

PLEASE HELP ASAP

Describe, in great detail, how you would graph a line that is in slope-intercept form.

Use y=-3x+ 5 as your example.

Answers

Hi there!  

»»————- ★ ————-««

Please see the explanation below.  

»»————- ★ ————-««  

Explanation:

Recall the meanings of the variables in the slope-intercept equation.

⸻⸻⸻⸻

[tex]\boxed{\text{\underline{Slope Intercept Form:}}}\\\\y=mx+b\\---------------\\\boxed{\text{Key:}}\\\\\rightarrow \text{m - slope}\\\rightarrow \text{b - y - intercept}[/tex]

⸻⸻⸻⸻

We already have one point given, the y-intercept. The y-intercept of a line when given a slope intercept form equation is:  [tex](0, b)[/tex]Using the example, we would graph the point (0,5) as our first point.

⸻⸻⸻⸻

To graph the second point, we need to understand the meaning of slope. The slope of a line can be remembered as 'rise over run'.The slope for the given equation is -3. This means we would have to go three units down and then one unit right from the y-intercept. Our new point would be (1,2).

⸻⸻⸻⸻

The result should be the graph attached.  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Thanks it’s really helpful

The display at an aquarium has sea stars and eels in a ratio of 4:5. It also has 5/8 as many rockfish as sea stars. There are 40 more wolf eels than rockfish. How many Sea stars are there?

Answers

4.8 sea stars were there

64 sea stars in the aquarium.

What is Ratio?

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

Ratio of see stars to eels = S : E = 4:5

E = 5/4(S)

Ratio of rockfish to sea strars = R : S = 5:8

R = 5/8(S)

E = R + 40

5/4(S) = 5/8(S) + 40

Multiply by 8 both the sides

10S = 5S + 320

5S = 320

S = 320/5

S = 64

Hence, 64 sea stars in the aquarium

Learn more about Ratio here:

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Plz help will be marked BRAINLIEST

Answers

Answer:

10 inches

Step-by-step explanation:

the answer is 7 inches

In the previous lesson, you created SMART goals for yourself to extend from the start of the semester to the end of the semester. This lesson introduced you to the various resources that are part of the course. How can these resources help you reach your goals?

Go back to your SMART goal chart from the previous lesson and alter one of the goals so that it incorporates the use of at least one resource.

Answers

Answer:

Improve your growth attitude, be more proactive, learn to understand yourself, be persistent despite hurdles, learn to accept your limits, learn how to make successful decisions, practice thankfulness, and stay open-minded to new opportunities are some of the ways that SMART goals can assist you.

Step-by-step explanation:

I've done this before :)

Consider the following 8 numbers, where one labelled x is unknown.
50, 22, 42, x, 30, 42, 9, 23
Given that the range of the numbers is 66
work out 2 values of x

Answers

Answer:

x=75 or x=-16

Step-by-step explanation:

these are the two answers

maybe x=16 big maybe

Please help asap!!.... <33

Answers

Answer:

448

Step-by-step explanation:

I = Prt  where I is the interest P is the principle r is the rate and t is the time

I = 400 * (.02) * 6

I = 48

The amount in the account is the interest plus the original amount

400 +48

448

Answer:

$ 448

Step-by-step explanation:

amount that Elena deposit (P) =$ 400

rate of interest (R)=2%

time (T)=6 years

formula to find interest is

Interest = PTR/100

=$400*6*2/100

=$4800/100

=$48

Total amout she receives after 6 years is

Amount = Interest + Principal

=$48 + $400

=$448

50 points! Answer AS much as you can, I give Brainliest!

Answers

Answer:

9.  y = 8

10.  n = 21

11.  44 = v

12.  c = 35

Step-by-step explanation:

9.   9y = 72

Divide each side by 9

9y/9 = 72/9

y = 8

10.  3n = 63

Divide each side by 3

3n/3 = 63/3

n = 21

11.  4 = v/11

Multiply each side by 11

4*11 = v/11*11

44 = v

12.  c/7 = 5

Multiply each side by 7

c/7*7 = 5*7

c = 35

y=8
n=21
v=44
c=35

hope that helps

If I have a 67 F in a class and I get an 85 B on a project, what will my grade be now?

A - 93-100

B - 85-92

C - 75-84

D - 70-74

F - Below 70


Here are all my grades at the moment, if they are even important. (I have really fallen off in the last quarter, which is just great.)

Answers

Answer:75-84

Step-by-step explanation:

Mr. Zeeman received a tax refund. He spent $40 on take-out food for a family dinner and used one-third of the remaining money to buy a new vacuum cleaner. After he deposited half of what was left in his checking account, he still had $80. How much was his tax refund?

Answers

$280
$80•2=160+80=240+40=280
Hope this helps :)
280

40+1/3=40.3
80+80=160
200+80=280

Select all the expressions that are equal to 3/4

Answers

Answer:

A and B

Step-by-step explanation:

7/20 + 2/5 = 3/4

19/20 - 1/5 = 3/4

3 4/7 - 9/10 = 2 47/70

The answer is definitely A and B

I. am. tired. of. posting. questions. over. and. over. again. I so serious this is a grade and today is my last day of school and report cards come in next week!!! PLZ HELP MEE. or else i will be grounded for the entire summer.... T~T

Answers

Answer:hi

Step-by-step explanation:plz like and brainliest i am noob I really need this plz

A) 1 week $10 | 2 weeks $20 | 3 weeks $30 | 4 weeks $40 | 5 weeks $50

B) m=10w

C) put the bottom as weeks and label it 1 through whatever and put the side as money and label it $10 through whatever and then graph a line going up $10 every week

D) 13 weeks because $128 divided by 10 is 12.8 and round to 13 weeks

What is the area of the figure below?

Answers

answer: 88in^2
explanation: by separating the figure into easier pieces, simple triangles and rectangles, this problem becomes much easier.
by looking the overall length of the figure, we get 7, if you cut off the big rectangle in the middle from that seven, you end up with a diamond with a height of 10 and a length of 4. multiply those together to get the area of the points on either side.
10 x 4 = 40
now looking back at the rectangle, by adding up the heights, you get a height of 16. multiply this with the length of 3 and you get 48.
add the two and you get the total area.
40 + 48 = 88

Answer:

68 in

Step-by-step explanation:

Because the area of the squares is 3 x 3 = 9 and because there are two squares it is 18. The area of the central figure is 50 because i divided it into 4 triangles and 2 rectangles, each rectangle is 15 in and each triangle is 5 in so 15 x 2 = 30, 5 x 4 = 20 and 30 + 20 + 18 = 68

find an esxpression for the nth term of 1,4,7
hurrrrryyyy

Answers

Answer:

y = 1 + 3(n - 1)

y = 3n - 2

Step-by-step explanation:

3n-2 is the answer to this question

HELPPPPP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think $10 is the answer

Just to confirm the last answer it is 10 dollars I think

A produce manager is deciding whether there is customer demand for expanding the organic food section of her store. How could she obtain the information she needs?


Pls help!!! Ty!

Answers

Answer:

survey everyone who enters the store how often or useful they find it to be

Step-by-step explanation:

Observe people while shopping to see if they skip over the organic produce they already have and see if people would rather buy the organic food or the other options. You can even put the organic food right next to the non organic food that would be the same thing (Ex. Put the organic bananas right next to the non organic bananas) hope this helps

Ahmad’s goal is to exercise for a mean of 45 minutes per day for one week. For the first six days of the week, he exercised 35, 40, 37, 42, 45, and 50 minutes. What is the number of minutes Ahmad must exercise on the 7th day to meet his goal for the week?

Answers

Answer:

41.5

Step-by-step explanation:

To find the mean, your supposed to add all the numbers you have and divide by how many numbers there are. In this question your numbers are 35, 40,37,42,45, and 50.

If you add them all up you get 249. Your next step is to divide by how many numbers there are. Since there are 6, your equation will now be 249 divided by 6. Your answer is now 41.5

So on the 7th day Ahmad exercised for 41.5 minutes. If you need to round then maybe 41 minutes.

Answer:

41.5

Step-by-step explanation:

On the 7th day Ahmad exercised for 41.5 minutes and if you want to put it simply its 41 minutes.

PLS help me :)))) thx

Answers

Answer:

7) 96in²

8)292yd²

Step-by-step explanation:

7)

6×2=12

14×6=84

84+12=96

8)

26×7=182

22×5=110

182+110=292

Answer for the first one (7):

A = 96 square inches

Step-by-step explanation:

to find the unknown sides: 6+6=12

and: 14-12=2

then split into rectangles and find the area for each of them by multiplying the two sides and then add the two rectangles' areas together

Answer for the second image (6):

A= 229 square yards

Step-by-step explanation:

to find the unknown sides: 29-22=7

and: 26-21=5

split into rectangles find area for each of them then add the areas to get the answer

A coffee grinder uses a current of 1.20 A and has a resistance of 100 ohms. Calculate the voltage explain

Answers

Answer:

Step-by-step explanation:

I = V / R

Current = (voltage) / (resistance)

Current = (500 V) / (250 ohms)

Current = (500/250) Amperes

Current = 2 Amperes

120V

VOLTAGE = CURRENT * RESISTANCE

1.20A * 100ohms

I need to get aleks done on june 3oth

Answers

Answer:

I think you divide. So 2.53 divided by 5.48 or the other way around or something. I don't know for sure. Sorry. I think the 23.7 ounce is better though.

Step-by-step explanation:

                Hope this helps!!!!!!!!!!!!!! :) :) :) :) :)

                SORRY IF IT'S WRONG!!! :) :) :) :) :)

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