Example The double number line shows the amount of clay Jamal uses to make different numbers of identical bowls. Is there a proportional relationship between the amount of clay and the number of bowls? If so, what is the constant of proportionality for pounds of clay per bowl? Clay (pounds) 0 H 2 233 + + + 5 Bowls 0 1 2 3 4 6 All of the ratios for clay: bowls are equivalent. So, there is a proportional relationship. All of the ratios have the same rate, į pound of clay per bowl. The constant of proportionality is 3 1 a. Write an equation representing the pounds of clay, c, that Jamal from the Example needs to make b bowls. V b. Explain how to find the amount of clay Jamal needs to make 8 bowls.​

Answers

Answer 1

Answer:C: 2/3 B

Step-by-step explanation:

Answer 2

The answers will be ;

a) The required equation will be c =  [tex]\frac{2}{3}[/tex] b

b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.

It is given that the double number line shows the amount of clay Jamal uses to make different numbers of identical bowls.

We have to solve the subparts of the question to get the values.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

The clay needed per bowl = [tex]\frac{2}{3}[/tex] pounds

a)

The equation for clay (c) to make b number of bowls will be ;

c =  [tex]\frac{2}{3}[/tex] × b

or

c =  [tex]\frac{2}{3}[/tex] b

b)

If there are 8 number of bowls

i.e., b = 8

Then ; amount of clay Jamal needs will be ;

c =  [tex]\frac{2}{3}[/tex] × 8

c = [tex]\frac{16}{3}[/tex] pounds

or

c = [tex]5\frac{1}{3}[/tex] pounds

Thus , the answers will be ;

a) The required equation will be c =  [tex]\frac{2}{3}[/tex] b

b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.

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Related Questions


Part A
What is the slope of the line?
A. - 1 / 2
B. -2
C.
D. 2
Part B
Conner says the graph shows that water is flowing at a rat of 2 gallons per minute. Is he correct? Use the drop-down menus to explain your answer

Conner (choose...) correct answer because the rate of the water flowing is (choose...) the slope. Water is flowing at a rate that is (choose...) 2 gallons per minute.

Answers

Answer:

2

Step-by-step explanation:

The 2 points are (2,1) and (4,2) so you have to do rise over run by doing y2-y1 divided by x2-x1 which will give you 2

HELPP ME PLEASEEE
ill give brainiest to whoever answers first

Answers

Answer:

the answer is d

Step-by-step explanation:

it would be 9.7 x 10^3

I need help please, can you help me?

Answers

Answer:

x= 16 degrees

Step-by-step explanation:

the angles can be a little hard to remember but just know that the angles that are outside of the transversal are exterior angles and if they are on the opposite sides of the line that passes through the parallel lines then they're alternate exterior angles and those angles that are inside are interior angles and if they are on the opposite sides of the line passing through the parallel then they are alternate interior angles .

8. What is the result of (11x + 18i)(117 - 18i)?

Answers

1287x + 342 +(-198x + 2106) i


Riley buys a swim pass for the pool in January. The first month costs $30. Each month after that, the cost is $20 per month.

Write the equation for finding the total cost of
a one-year swim pass.

Answers

Answer:

you pay 240 dollars a year

Step-by-step explanation:

y=20x

x is 12

20*12=

240

Answer: $250

Step-by-step explanation:

I do not understand this ​

Answers

Answer:

It would be C. The hexagon.

Answer:It would be C because you have 3 sides for the triangle than 4 sides for the rectangle, 5 sides for the pentagon, and 6 sides for the hexagon

Step-by-step explanation:

Is this graph of a function yes or no

Answers

Answer: It could be, just add two dots at the smiley face, BOOM! The function of Facial muscles in humans.

Step-by-step explanation:

It’s a functionnnnnnnnnnnnnnnnnnnn

help me with this please

Answers

Answer:

26

Step-by-step explanation:

square root of 81 is 9, 9*2 is 18, square root of 64 is 8, 18+8 is 26

Answer:

26

Step-by-step explanation:

2(square root of 81)+square root of 64

2(9)+8=

18+8=

26

Which of the q-values satisfy the following inequality?
6-3q≤1

Answers

Answer:

[tex]q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]6-3q\leq 1\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6-3q-6\le \:1-6\\\\Simplify\\\\-3q\le \:-5\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3q\right)\left(-1\right)\ge \left(-5\right)\left(-1\right)\\\\Simplify\\\\3q\ge \:5\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3q}{3}\ge \frac{5}{3}\\\\Simplify\\\\q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]

plz help
which equation represents a line that is perpendicular to the line on the graph?
A) y=-4x+3
B) y= -1/4x+1
C) y=-1/x-2
D) y= 4x+4​

Answers

Answer:  D) y = 4x+4

===================================================

Explanation:

The given visual line has a slope of -1/4. We can see this by starting at (0,2) and we do two things

a) move down 1

b) move over to the right 4

This leads to slope = rise/run = -1/4

Once we find the slope of the original line, we take the opposite reciprocal. This is also called the negative reciprocal. So we'll take the reciprocal of -1/4 to get -4/1 or just -4. Then we flip from negative to positive.

In short we flip the fraction and the sign. That has us go from -1/4 to 4.

The original slope is -1/4. The perpendicular slope is 4.

Side note: multiplying any two perpendicular slopes leads to -1. Neither line can be vertical.

--------------------------

So we found the slope of the perpendicular line to be m = 4.

We don't know which point the perpendicular line goes through, so theoretically we have infinitely many equations to pick from. They are all in the form y = 4x+b. Note how I replaced m in y = mx+b with 4.

So our answer will be in the form y = 4x+b. Choices A through C don't fit the description. Only choice D does. So choice D is the answer.

With y = 4x+4, the slope is 4 and the y intercept is 4.

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Answers

Answer:

Assuming you want slope formula for this, it's y= (5/9)x -1

Please Help Me :(((((( I Really Dont Know How TO Do This :(((((((
which explicit formula describes the sequence −9, −3, 3, 9, 15, …?
Group of answer choices

an = 9n + 6

an = 6n + 15

an = 6n - 15

an = 9n – 6

Answers

Answer:  an = 6n - 15   (Choice C)

======================================================

Explanation:

This sequence is arithmetic

The first term is a = -9

The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)

Plug those values into the arithmetic nth term formula below

an = a + d*(n-1)

an = -9 + 6*(n-1)

an = -9 + 6n-6

an = 6n - 15

--------------

As a check, let's plug in something like n = 1

an = 6n - 15

a1 = 6*1 - 15

a1 = 6 - 15

a1 = -9

We see that the 1st term is -9, which matches the sequence given

Now let's plug in n = 2

an = 6n - 15

a2 = 6*2 - 15

a2 = 12 - 15

a2 = -3

The 2nd term is -3. This also matches.

I'll let you check the other values of n to confirm the answer.

Which numbers below are solutions to the inequality 4y+3≤−7?

Answers

Answer:

answer is in picture

Step-by-step explanation:

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x " #50 cm and x " )50 cm. The charge densities on the planes are #50nC/m2 and )25 nC/m2 , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x " )80 cm? (Hint: Use Gauss’ law.)

Answers

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)

Answer:

ΔV = 2520 V

Step-by-step explanation:

We are given;

Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²

Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²

Now, formula for electric field strength is;

E = -(½ε)(|σ1| ± |σ2|)

ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²

|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.

Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;

E_in = -(½ε)(|σ1| + |σ2|)

E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]

E_in = -4200 V/m

In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;

E_out = -(½ε)(|σ1| - |σ2|)

E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]

E_out = 1400 V/m

The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;

From the attachment, we see that;

ΔV = 2520 V

Kiran sells f full boxes and h half-boxes of fruit to raise money for a band trip. He earns $5 for each full box and $2 for each half-box of fruit he sells and earns a total of $100 toward the cost of his band trip. The equation 5f+2h=100 describes this relationship. Solve the equation for f.

Answers

Answer:

f = (100 - 2h) / 5

Step-by-step explanation:

Given:

5f + 2h = 100

Solve the equation for f.

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

5f / 5 = (100 - 2h) / 5

f = (100 - 2h) / 5

If f = 1 full box

h = 1/2 box

h = 1/2 of f

h = 1/2f

Substitute h = 1/2f into

f = (100 - 2h) / 5

f = {100 - 2(1/2f)} / 5

f = (100 - 2/2f) / 5

5f = 100 - f

5f + f = 100

6f = 100

f = 100 / 6

= 16.67

f = 16.67

The required value of f is 16.67.

Given that ;

Kiran sells full box of fruit cost for each box = f = $5

And Kiran sells half box of fruit cost for each = h = $2

According to the question ;

For full box cost  + for half box cost = Total cost of his band trip

5f + 2h = 100

Solve the equation following equation for f .

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

[tex]\frac{5f}{5} = \frac{100}{5} - \frac{2h}{5}[/tex]

f = 20-2h

For full box f = 1 full box

For half box h = 1 half box

It means h = [tex]\frac{1}{2}[/tex] of f

h = [tex]\frac{1}{2}f[/tex]

Substitute the value of h  

[tex]f = \frac{(100-2h)}{5} \\f = \frac{100-2(\frac{1}{2f} )}{5}[/tex]  

[tex]f = \frac{100-f}{5}[/tex]

5f = 100 - f

5f + f = 100

6f = 100

[tex]f = \frac{100}{6}[/tex]

f = 16.67

The required value of f is 16.67.

For more details about the making equation click the link given below.

https://brainly.com/question/9151865

Help please I’lol really appreciate it

Answers

Answer:

j+z+12

Step-by-step explanation:

is 7.66 a rational number

Answers

Answer:

yes

Step-by-step explanation:

Yes it is a rational number

Please help me i will mark you brainliest

Answers

y = -11x2 – -52 or y = -5.5x – 52

What is an equation that is equivalent to -3/4x+1/8=-3/8?

Also the / is not a division symbol. The numbers with a / are fractions.

Answers

Hope this helps! Follow my Instagram trlamb822!

how many times 92 go in too 100​

Answers

Answer:

5

Step-by-step explanation:

Answer:

1 time

Step-by-step explanation:

Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds

Answers

Answer:

.44 repeating would be your decimal of dogs that weigh under 20 pounds.

Step-by-step explanation:

Answer:

.44

Step-by-step explanation:



A car travels 30.5 miles in of an hour. What is the average speed, în miles per hour
of the car?

Answers

Answer:

rounded to the nearest hundredth its 46.21

Step-by-step explanation:

trust im smart


Lily drew 37 hearts and 36 circles. What is the ratio of hearts to circles?
Simplify your answer if possible.

Answers

Answer:

37: 36

Step-by-step explanation:

You can not simplify. Have a good day!

A parking garage charges an initial fee to enter, as well as an hourly rate to park. The equation, T = 6 + 2.50h, relates hours parked, h, and
the total charges in dollars, T.
What is the initial fee to enter the garage?
O A $2.50
OB. $3.50
OC. $6.00
OD. $8.50
S RESET
Anala Ramon, ID#******63
Growth: Algebra 1 CCSS 2010
Question # 36

Answers

Answer:

The answer is $6.00.

Step-by-step explanation:

They said that there was an initial fee along with an hourly fee. They also said that the hourly fee depended on the number of hours put in. Which would be h. So the initial fee stays the same and is just added to the hourly fee. As you can see the fee added on to the hourly fee is $6.oo.

The initial fee to enter the garage is option (C) $6.00.

What is the linear equation?

The linear equation is the algebraic form of equation whose variables has the exponent of one. It is the combination of two variables and a constant value present in them.

For the given situation,

The equations is, T = 6 + 2.50 h

where, h is the parking hours and

T is the total charges in dollars.

The initial fee to enter the garage means there will be no fee for parking,

⇒ [tex]h=0[/tex]

Then the equation becomes,

⇒ [tex]T=6[/tex]

Hence we can conclude that the initial fee to enter the garage is option (C) $6.00.

Learn more about linear equation here

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Can someone please help me this question. It’s due today I will appreciate it .

Answers

49
You have a line on the right crossed by two other lines the line means 180 degree up degree is 131 which means the other line has same degree
So now u need outer angle so 180-131=49

A type of superglue has a density of 0.86 g/mL. What is the mass of a 150 mL sample of this glue?

Answers

Answer: 129g

Step-by-step explanation:

The formula to calculate mass is given as:

m = d × v

where,

m = mass

d = density

v = volume

Mass = dv

Mass = 150 × 0.86

Mass = 129g

Answer:

Step-by-step explanation:

can you guys please help​

Answers

Answer:

I cant read all of that. Im sure others ant either.

Step-by-step explanation:

Answer:

i cant read it for some reason, can you type it?

Step-by-step explanation:

$3,000 is invested in an account paying 4% interest and twice that amount is invested at 6%.

Which of the following expressions represents the amount of interest earned on the money invested at 6%?

a. 2(3,000)
b. 0.06(6,000)
c. 0.06(3,000)

Answers

Answer:

B

Step-by-step explanation:

what is the slope of the line represented by the equation y+2x=4

a. -2

b. 2

c. 4

d. 1/2

Answers

-2 because it’s positive 2 and on the graph it would have to be the opposite of the graph which is -2
The answer is b. M=2. 2.

What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?

Answers

ANSWER: 12,345,678

EXPLANATION:
we can work backwards by figuring out what 9(the answer) is multiplied by to get 111,111,102 (the starting number) we can do this by dividing by 9:

111,111,102/9 = 12,345,678

so: 9 * 12,345,678 = 111,111,102
which also means

111,111,102/12,345,678 = 9 (with 0 as a remainder)

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