You prepare 10 scoops of dog food for 5 dogs, and prepare 16 scoops of dog food for 8 dogs. What
is the constant of proportionality for the amount of dog food to the number of dogs? How many
scoops of dog food should you prepare for 6 dogs?

Answers

Answer 1

Answer:

12 scoops of dog food are needed for 6 dogs,

Step-by-step explanation:

Proportions

The number of scoops of dog foods and the number of dogs are proportional variables.

We are given that 10 scoops of dog foods are used for 5 dogs. This gives a proportion of 10/5=2 scoops per dog.

We also know that 16 scoops are used for 8 dogs. The proportion is also 16/8=2 scoops per dog.

Thus, the constant of proportionality is 2.

For 6 dogs, you need to prepare 2*6 = 12 scoops of dog food.

12 scoops of dog food are needed for 6 dogs,


Related Questions

Which polynomial can be factored using the binomial theorem?

100x2 + 70x + 49
100x2 + 210x + 49
1,000x3 – 2,100x2 + 1,470x – 343
1,000x3 – 2,800x2 + 1,960x – 343

Answers

Answer:C

Step-by-step explanation:

The polynomial can be factored using the binomial theorem is

1,000x³  – 2,100x² + 1,470x – 343.

What is Binomial Theorem?

Assertion that the sum of the nth power of the product of two positive integers a and b may be written as the sum of the n + 1 terms of the form for any positive integer n.

If a and b are real numbers and n is a positive integer, then

[tex](a + b)^n =^nC_0 a_n + ^nC_1 a_{n-1} b_1 + ^nC_2 a_{n-2} b_2 + ... 1.[/tex]

Given:

Using Binomial we can write

(a+ b)³ = a³ + b³ + 3a²b + 3ab²

and, (a+ b)² = a² + 2ab + b²

So, 100x²+ 70x + 49 and 100x² + 210x + 49 cannot be factors using Binomial Theorem because the correct expansion would be

(10x+ 7)² = 100x² + 140x + 49

and, 1,000x³  – 2,100x² + 1,470x – 343 can be factored using Binomial theorem.

As, (10x - 7)³ = 1000x³ -2100x² + 1470x - 343.

Learn more about Binomial theorem here:

https://brainly.com/question/27813780

#SPJ6

pls help (15 pts)
whats the value of p

Answers

I think p will 2 is this 8th grade math ?

the slope and y intercept of y=-8x​

Answers

Answer:

m = -8

b = 0

Step-by-step explanation:

In slope intercept form [ y = mx + b ], m = slope and b = y-intercept.

We aren't given a b value, but we are given a m value which is -8.

Best of Luck!

need help ASAP mid term .
- 60 points

Answers

the metal bar/random line is almost the same size as the other two sides of the triangle. if one side is 32ft, then the opposite side is 32ft also. the bottom is 100ft, so we could eliminate C. because it couldnt be that number. now the bottom triangle, one side is 40ft so the other side has to be 40ft as well. its asking about the metal bar.

its either:

A. 53.2ft     or

B. 44.4

because the line is almost the same size as 32ft. its almost a equallateral triangle. i would go with A. though because if you imagine the line at the bottom of the line (100ft.) the line would go over half of it (and 53.2 is over half of 100) so i would say

A.53.2

if this didnt help let me know. and i will delete this (if i can-)

what is the slope of the line?

Answers

Answer:

3

Step-by-step explanation:

I NEED HELP PLS!! i am so confused on what to do if you can explain that would be awesome!

Answers

Answer:I am pretty sure that it is that you add 26 and 71 and then subtract it by 180 and then the other one is across so it would be the same answer so it would be 83

Step-by-step explanation: I hope this helped

Plz answer quickly!!!!!!!

Answers

Answer:

(A). x ≥ [tex]\frac{16}{5}[/tex] and x ≤ - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

5x - 4 ≥ 12 ⇔ 5x ≥ 16 ⇒ x ≥ [tex]\frac{16}{5}[/tex]

and

12x + 5 ≤ - 4 ⇔ 12x ≤ - 9 ⇔ 4x ≤ - 3 ⇒ x ≤ - [tex]\frac{3}{4}[/tex]

3x^2+ 4x + 5 for x = -2

Answers

The answer is 33
3(-2)^2+4(-2)+5
-6^2+ (-8) + 5
36 + (-8) + 5
28+5
33

Evaulate A+7 when a=4

Answers

Answer:

11

Step-by-step explanation:

Plug in 4 for a and solve.

4+7 = 11

Answer:

4+7=11

Step-by-step explanation:

 

help me plz guys for 14 point​

Answers

I think its true, since perimeter is the diatance around. I would say mines correct, but you could try. I hope that helped atleast a little. :)

Please answer!!!!!!!

Answers

To see if it is possible, you will want to create an equation.

3(4x+2) = 6(2x+2)

As you can see, you will need to use the distributive property for this equation.

12x + 6 = 12x + 12

Remove 6 from both sides.

12x = 12x + 6

Divide 12 by both sides

x = x + 0.5

Because the answer wasn't x = x, the two plants won't ever be the same height. Even if you tried to subtract 0.5, you'd only get a negative 0.5 on the other side.

Find the measure of angle A.
Please help??

Answers

Answer:

4

Step-by-step explanation:

Answer:

Creo que es 40

Step-by-step explanation:

80+15x+(11x-4)=180

26x=104

x=4

Entonces

11x-4 --> 11*4-4 = 40

1. What do you need to show in order to prove that a number is divisible by 3?
Then, use an example to show your explanation is correct. *

Answers

Answer:

You can divide and see if its devided by 3, and if its not in the times table, you will have a decimal

Step-by-step explanation:

This is the second time I put this, PLEASE ANSWER!!!
Subtract.
7h 15min 12s
2h 03min 46s

OPTIONS:
5 hours, 11 minutes, 26 seconds
5 hours, 11 minutes, 34 seconds
5 hours, 12 minutes, 26 seconds
5 hours, 12 minutes, 34 seconds

Answers

Answer:

5h 11m 26sec

Step-by-step explanation:

7h 15m 12 sec

2h 03m 46 sec

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

5h 11m 26sec

Answer:

7h 15m 12s

-2h 03m 46s

...................

5h 11m 46s

Step-by-step explanation:

8y + 6 + 8x + y + 3


its too short so im adding more characters

Answers

Answer: 9y+8x+9
Explanation: i added the y’s together and the regular numbers together

Answer:

9y+8x+9

Step-by-step explanation:

in order to solve we need to add like terms

8y+1y=9y

8x is the only like term of its type

6+3=9

Add all of the sums together to crate a new equation

9y+8x+9 is your answer

Which graph represents a function

Answers

Answer:

graph d .

\

Step-by-step explanation:

Graph d, it passes the vertical line test!

Enter the value for x that makes the equation 1/2 (4x – 8) + 3x = 36 true.

Answers

Answer:

x = 8

Step-by-step explanation:

1/2(4x – 8) + 3x = 36

~Simplify left side

2x - 4 + 3x = 36

~Combine like terms

5x - 4 = 36

~Add 4 to both sides

5x = 40

~Divide 5 to both sides

x = 8

Best of Luck!

Having trouble,Whats 1/3 (-2/4)

Answers

Answer:

-1/6

Step-by-step explanation:

im assuming you meant multiply them? if so then

1         -2            -2           -1

---   *  ---    =       ---    =    ---

3         4              12          6

or

1/3=4/12 and -2/4=-6/12

4/12*-6/12=-24/144=-1/6

Answer:

-1/6

Step-by-step explanation:

just multiply 1/3x2/4=

and then in front of the answer put the negative sign

An Olympic race has 14 competitors.
How many ways can the gold, silver, and bronze medals be awarded?

Answers

Answer:

720 ways

Step-by-step explanation:

The cost for an order of 100 kilograms of steel bars is $230. The cost for an order of 150 kilograms of steel bars is $320. Write an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x). Show or explain how you found your equation.

Answers

Answer:

y = 9x/5 + 50

Step-by-step explanation:

We are represent the information as coordinate (x,y)

If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)

Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;

(150, 320)

Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope;

m = y2-y1/x2-x1

m = 320-230/150-100

m = 90/50

m = 9/5

Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c

230 = 9/5(100)+c

230 = 9(20)+c

230 = 180 + c

c = 230-180

c = 50

Get the required equation

y = mx+c

y = 9/5 x + 50

Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50


y = -x + 5
Write in standard form. PLEASE SHOW WORK

Answers

Regroup terms.
y
=
5

x
y=5−x

2 Subtract
5
5 from both sides.
y

5
=

x
y−5=−x

3 Multiply both sides by

1
−1.

y
+
5
=
x
−y+5=x

4 Regroup terms.
5

y
=
x
5−y=x

5 Switch sides.
x
=
5

y
x=5−y

What number is the next term in the number pattern? 1/10, 3/12, 7/14, 13/16, … Enter your answer in the box.
A.21/18
B.19/18
C. 21/16
D.19/18

Answers

Answer:

A. 21/18

Step-by-step explanation:

The numerator pattern is adding 2 every time to the difference (ex: difference between 1 and 3 is 2, then difference between 3 and 7 is 4). Meanwhile the denominator is only adding 2 everytime.

(Due Now!! HELP; I know how to do this I just don't have time)

The cost of 3 pounds of bananas is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of bananas, x ?

A) 6.57

B) 3

C) 2.19

D) Not here

Answers

Answer:

It is C.

Step-by-step explanation:

You divided 6.57 by 3

and 3 by 3

3 by 3 = 1

6.57 = 2.19

3 so for every 1 pound it costs $2.19

C) 2.19

Step-by-step explanation:

Hope this helps!!

Prove that the square root of 8+ the Square root of 2 = 3 • 2 1/2

Answers

Answer: [tex] \sqrt{8} = \sqrt{4 \times 2} [/tex][tex]2 \sqrt{2 } + \sqrt{2} [/tex][tex]2 \sqrt{2} + 1 \sqrt{2} [/tex][tex]3 \sqrt{2} = 3 \times 2 {}^{ \frac{1}{2} } [/tex]

a college spends 40% of an individual's tuition on salaries and the remainder on other costs if they spend 1,800 on other costs how much is an individual's tuition?​

Answers

Answer:

$3000

Step-by-step explanation:

If the remainder is spent on other costs, then that means 60% of the tuition as spent on other costs.

To find the total tuition, divide 1800 by 0.6:

1800/0.6

= 3000

So, their tuition was $3000

A large box holds 125% as many toys as a small box. If the large box hold 25 toys, how many toys does the small box hold? Your answer​

Answers

5 toys.

125/25 = 5 tiys

What is the circumference of the circle
A. 18.84
B. 17.6
C. 21.79
D. 15.65

Answers

Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2(pi)r, I think. The radius is 3. 3 times 2 is 6. 6 times 3.14 is around 18, I think.

hope this helps

Answer:

A

Step-by-step explanation:

3. The diagram shows two
corresponding vertices connected to
the center of rotation. Use the
protractor to measure it.
M

Answers

Answer: 90°

Step-by-step explanation:

i took the test

The value of angle APA' is 90°.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a point 'p' which is a fixed point.

Triangle ABC is rotated about the 'p' point such that the new location of A, B, and C becomes A', B', and C'.

The new triangle formed is triangle A'B'C'.

From the figure, we can clearly see that the angle APA' is a right-angle triangle.

m∠APA' = 90°

Thus, the value of angle APA' is 90°.

Learn more about the geometric transformation here:

brainly.com/question/16156895

through: (-3, -4) and (2, 1)

Answers

Answer:

y = 1x - 1

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}\\\frac{1-(-4)}{2-(-3)}\\\frac{1+4}{2+3}\\\frac{5}{5}=1\\y=1x+b\\1=1(2)+b\\1 = 2 + b\\-1 = b\\y = 1x-1[/tex]

can someone help me please?

Answers

Answer:

(0,4) and (-4,0)

Step-by-step explanation:

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