Sofia is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Sofia uses when knitting a scarf?

Answers

Answer 1

Answer:

[tex]5b=2r[/tex]

Step-by-step explanation:

Given: For every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn

To find: equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r

Solution:

As for every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn,

number of pieces of blue yarn / number of pieces of red yarn = [tex]\frac{18}{45}=\frac{2}{5}[/tex]

[tex]\frac{b}{r}=\frac{2}{5}\\ 5b=2r[/tex]

Therefore,

equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r is [tex]5b=2r[/tex]


Related Questions

The distance between two parks on a city map is 1.8 inches. The actual distance between Parks is 2 miles. In the same city, the distance from the library to the post office 0.8 mile

Answers

Answer:

0.72 inch on the map.

Step-by-step explanation:

[tex]\frac{1.8}{2} =\frac{x}{0.8}\\x=0.9 \times 0.8=0.72 ~inch[/tex]

Please help me with the question below

Answers

Answer:

A

Step-by-step explanation:

Find the volume of the tank but dont use the height of the tank instead use the height of the water in the tank

Tank is cuboid in shape thus:

Volume=length xwidthxheight

=60in×24in×3in

=4320 cubic inches

note:height is the same as depth

The answer is A 4,320 cubic inches

A truck traveling at 36 m/s heads out of town going west. How long
does it take to go 5.2 km?

Answers

Time is equal to speed divided by time

Which figure is represented by the net shown below?

Answers

Answer:

WAY BELOW...

Step-by-step explanation:

So first look at the base. It is an octagon.

Look at the answers now. You can eliminate the ones that don't have triangles, and you have two pyramids. One has a hexagon base and one has a octagon base.

That's the answer.

Answer:

Hey!

Your answer is BELOW!!!

Step-by-step explanation:

HOPE THIS HELPS!!

A fruit vendor purchased 540 fruits in all for $150. He sold 15 dozens at 2 bananas a dollar, another 15 dozens at 3 bananas a
dollar and the remaining at 5 bananas a dollar. Find his loss or gain percentage. ( with explanation )

Answers

Answer:

First find how much bananas are in a dozen

15 x 12 = 180

Divide the amount by the amount of bananas per dollar to find profit

180 / 2 = $90

Do the same thing as before

15 x 12 = 180

180 / 3 = $60

Find how many bananas are left

180 + 180 = 360

540 - 360 = 180

Do the same as before

180 / 5 = $36

Add up all the money. 90 + 60 + 36 = 186

Subtract the cost

185 - 150 = 36

To find percentage increase

36 / 150 = 0.24 or 24% profit

Hope this helps

Step-by-step explanation:

15
Х
8
X =
ОК
cm
Answer pls

Answers

Answer:

Do you mean like what is 15*8=x? if so then I guess X would be 120.

Step-by-step explanation:

Identify the graph of xy=-8 for theta=pi/4 and write and equation of the translated or rotated graph in general form.

Answers

Answer:THE ANSWER IS A

Step-by-step explanation:

CORRECT ON EDGE

Answer:

A

Step-by-step explanation:

edge

(x³-4x²+7x-5)+(13x-15x²+x³)

Answers

Answer:

2x^3−19x^2+20x−5

Step-by-step explanation:

combine the x's and numbers, when fully simplified:

2x^3−19x^2+20x−5

Answer:

[tex]\sf 2x^3-19x^2+20x-5[/tex]

Step-by-step explanation:

[tex]\sf\left(x^3-4x^2+7x-5\right)+\left(13x-15x^2+x^3\right)[/tex]

[tex]\sf x^3-4x^2+7x-5+13x-15x^2+x^3[/tex]

[tex]\sf x^3+x^3-4x^2-15x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-4x^2-15x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-19x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-19x^2+20x-5[/tex]

Jordan invested $8,500 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,070?

Answers

Answer:

52 days

Step-by-step explanation:

if compounding daily we can see what 1 year accumulates using the function

360 / interest rate = 360/4.1 = 87.8048780488 = 87.80 per day

We can use inverse of the balance profit to use the exact amount difference to then divide into the date of withdrawal

$13070- 8500 = 4570

4570/ 87.8048780488 = 52.04 = 52 days.

Any ratio can be written as a complex ratio. Any ratio can be written as a
complex ratio. *
O True
O False

Answers

True I need twenty character so I typed this

The given statement that any ratio can be written as a complex ratio is;

Option A; True.

A complex ratio is simple defined as a ratio to a ratio.

For example if the numerator is a ratio/fraction and the denominator is also a ratio or fraction. Such as; (3/4)/(5/8), (2/3)/(4/5) e.t.c.

Now, let us say we have a simple ratio like 7/8. Now we can also express this as a complex ratio because;

7 is same as 14/2

Also, 8 is the same as 24/3.

Thus, we can write that; 7/8 = (14/2)/(24/3)

From the example of converting a simple ratio to a complex one, we can see that any ratio can be converted to a complex ratio.

Read more at; https://brainly.com/question/9280099

5x - 2 = 10 - X
Please help

Answers

Answer: x = 2

5x - 2 = 10 - x

Add x to both sides.

6x - 2 = 10

Add 2 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Step-by-step explanation:

5x - 2 = 10 - x

5x + x = 10 + 2

6x = 12

x = 12/6

x = 2

A linear function has a graph in the shape of a 1____. A non-linear function 2_____ have the same value added to or subtracted from the dependent variable.

1. A. U
B. S
C. Line

2. A. Does
B. Does not

Answers

Answer :

A linear function has a graph in the shape of a line

A non-linear function does not have the same value added to or subtracted from the dependent variable

Step-by-step explanation:

A linear function is any function that graphs to a straight line.

So, The shape of linear graph is straight line .

1) A linear function has a graph in the shape of a ____

Answer : C . Line

Thus A linear function has a graph in the shape of a line

A nonlinear function is a function that is not linear. That is, for a fixed change in the independent variable, there is NOT a corresponding fixed change in the dependent variable

Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line.

2) A non-linear function 2_____ have the same value added to or subtracted from the dependent variable

Answer B : Does not

Thus A non-linear function does not have the same value added to or subtracted from the dependent variable

if y=-4+11 and 3x+y=9 what is the value of y

Answers

[tex]y=-4+11=7\\y=7\\3x+7=9\\x=2/3[/tex]

If a large tree is 22 feet tall and a smaller tree is 3/4 of the larger tree's height, then how tall is the
smaller tree?

Answers

Answer:It should be 16.5 or 16 1/2.

Step-by-step explanation:

22•3/4

WILL GIVE BRAINIEST!! In triangle PQR, PQ = 13, QR = 14, and PR = 15. Let M be the midpoint of QR. Find PM.

Answers

Answer:

6.5

Step-by-step explanation:

If M is the midpoint of PQ, PM is congruent to MQ. Midpoint means middle. So, the midpoint divides PQ in half. PQ = 13, and 13/2 = 6.5.

If In triangle PQR, PQ = 13, QR = 14, and PR = 15.  M is the midpoint of QR.  PM is: 12 cm.

Triangle PQR

In △PQR

M=Midpoint of side QR

PM =Median of the  iangle

Using Apollonius theorem

PQ ² +PR ² =2PM ² +2QM ²

13²+14²=2PM ² +2(1/2QR) ²

169+196=2PM ²+2(6)²

169+196=2PM ²+2(36)

365=2PM ²+ 72

2PM ²=293

Divide both side by 2

PM ²=293/2

PM ²=146.5

PM=11.97 cm

PM=12 cm (Approximately)

Therefore PM is 12 cm.

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What are the solutions of x4 + 6X-6= 10?

Answers

Answer:

x = 1.6

Step-by-step explanation:

4x + 6x - 6 = 10

10x - 6 = 10

      +6    +6

      10x = 16

      10x/10 = 16/10

           x = 1.6

         

Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFraction for x?

because 18 times 100 is equal to 5 times x, which means that x is equal to 36

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

because 18 times x is equal to 5 times 100, which means that x is equal to 36

because 18 times x is equal to 5 times 100, which means that x is equal to 360

Answers

Answer:

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

Step-by-step explanation:

18/5=x/100

Cross product

18*100=5*x

1800=5x

x=1800/5

x=360

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

Answer:

b

Step-by-step explanation:

y =6x— 11
— 2x — Зу = -7

Solve the systems of equation by substitution

Answers

Step-by-step explanation:

substitute the value of y in terms of x

-2x - 3(6x-11)= -7

-2x - 18x+ 33=-7

-20x= -40

x = -40/-20

x= 2

substitute x=2 in first equation

y= 12-11

y= 1

Answer:

D (2, 1)

Step-by-step explanation:

on edge (wait just realized the other answer is correct, i thought this said smth different that was on edge)

What is the rate of change/slope?

Miles per hour
Hours Miles
2 70
4 140
6 210
8 280​

Answers

Answer:

35 miles per hour

Step-by-step explanation:

The slope is

m = (y2-y1)/*x2-x1)

   = (280-210)/(8-6)

   = 70/2

    = 35 miles per hour

Plz help me solve these:)
1. X/5 = 12/20 solve for x
2. -1⅗×(-⅝)=
3. X/14= 55/70 solve for x

Answers

Answer:

1. [tex]x=3[/tex]

2. [tex]1[/tex]

3. [tex]x=11[/tex]

Step-by-step explanation:

[tex]1.\\\frac{x}{5}=\frac{12}{20}\\\\x=3\\\\\\2.\\-1\frac{3}{5}*(-\frac{5}{8})=\\\\-\frac{8}{5}*(-\frac{5}{8})=\\\\-(-\frac{40}{40})=\\\\-(-1)=\\\\1\\\\\\3.\\\frac{x}{14}=\frac{55}{70}\\\\x=11[/tex]

470 centimeters = _____ meters

Answers

Answer:

4.7 meters

Step-by-step explanation:

Hope this helps!  : )

Answer:

4.7 meter

Step-by-step explanation:

What is the slope of a line perpendicular to y = –5x + 6? answers: A) –1∕5 B) 5 C) 1∕5 D) –5

Answers

Answer:

C) 1/5

Step-by-step explanation

When one line has a slope of m, a perpendicular line has a slope of  −1/m

What value of x will make the triangles similar by the sss similarity theorem?

Answers

The ratio = 15/20 = 3/4
21/x = 3/4
x = 28

Answer:

28

Step-by-step explanation:

Please help with this

Answers

Answer:

x = 6

Step-by-step explanation:

The scale factor is

28/8 = 7/2

We take the ratio of the larger side over the smaller side

Using ratios we can find the sides

28         21

----- = ---------

8           x

Using cross products

28x = 21*8

28x =168

Divide each side by 28

28x/28 = 168/28

x =6

Max climbs a hiking trail at a constant rate of 18 meters in 15 minutes. The line y = mx can be used to model Max's climb, where y is the distance he climbs and x is the time in minutes. Which is the slope of the line, m?

Answers

Answer:

18y=15mx/m

Step-by-step explanation:

that's the set up

Find two consecutive whole numbers that square root 58 lies between.

Answers

Answer:

7 and 8

Step-by-step explanation:

the square root is 7.6

so it lies between 7 and 8

Two whole numbers that lie between √58 are 7 & 8

What are whole numbers?

Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.

Given here, √58 =7.6517

Thus two whole numbers that are consecutive and √58 lies in between these two numbers are 7 & 8

Hence, Two whole numbers that lie between √58 are 7 & 8

Learn more about whole numbers here:

https://brainly.com/question/29766862

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The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer? A. 6/15 B. 8/15 C. 5/15 D. 7/15

Answers

Answer: Option D.

Step-by-step explanation:

Out of the 15 simulations, the number with a 1 in them is 7. (are the sets of 5 shots that have at least one 3-pointer)

So out of 15 sets, 7 of them have at least one 3-point in them.

the experimental probability is p = 7/15.

So the correct option is D.

Help me please show your work please

Answers

Answer:

27

Step-by-step explanation:

(9)to the 2 power is 81

81/3=27

Answer:  27

(n)^2/3      if n=9

Step-by-step explanation:

first, you do 9*9=81

secound, you put 81/3

third, then you divide 81/3=27

the answer is 27

Find distance of each

Answers

Answer:

6 units

Step-by-step explanation:

Since the x coordinate is the same, we only have to look at the difference of the y coordinates

2 - -4

2+4

6

The distance is 6 units

Answer:

the answer is 6 units

Step-by-step explanation:

Which statements are symmetric reflexive or transitive

Answers

Answer: 1st is reflexive

Step-by-step explanation:

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