At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.

Answer:

It is: (f(2) - f(0))/(2 - 0)

f(2) = 250(0.5)(2) = 250

f(0) = 250 (0.5)(0) = 0

So: (250 - 0)/(2 - 0) = 250/2 = 175

The average rate of change is 175.

Step-by-step explanation:

Answer:

4x + 1 is the simplified expression

Step-by-step explanation:

We have to use order of operations in order to solve. We basically need to simplify it with multiplication and addition.

The first step involves mulitplication and distribution property:

1) Do 1/2(4x + 2). If you use distribution property, it would be 1/2(4x) + 1/2(2)

2) Then use multiplication 1/2(4x) is 2x (since 4 multiplied by 1/2 is 2) and 1/2(2) is 1 (since 1/2 times 2 is 1).

Bow the expression is almost simplified as it is:

2x + 1 -(-2x)

The 2nd stop involves addition. First we have to know what -(-2x) means. Think of the negative sign on the outside as -1. This way it would be:

3) -1(-2x), and then do -1(-2) which is 2 since a negative times a negative is positive.

4) Now we know that -(-2x) is the same as: + 2x.

5) So the expression would be 2x + 1 + 2x. Combine like terms ( 2x and 2x) and you will get 4x + 1.

Hope you understood this and have a nice day!

Answer:

Volume = 12,300

Step-by-step explanation:

20 x 30 = 600

600 x 20.5 =12300

Answer:

Volume of the box is length ×breadth×height

[tex]20 \times 30 \times 20 \frac{1}{2} \\ = 600 \times \frac{41}{2} \\ = 12300[/tex]

Volume of cuboid =l×b×h

area of base of the cuboid =l×b

hence

volume of cuboid is = area of base × height

140=88×h

h=140÷88

h=5

Answer:   a square with side length 4 inches

a 2 inch by 8 inch rectangle

a heart-shaped base with an area of 16 square inches

Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.

For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

(2.257)² ≈ 5.093

5.093 × 3.1416 ≈ 16

16 × 5 = 80

The base for this prism should be like

a square with side length 4 inches.

a 2 inch by 8 inch rectangle.

a heart-shaped base with an area of 16 square inches.

Since

The given height is 5.

Any base with an area of 16 square inches should be considered as an acceptable base.

Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

So, it be like

(2.257)² ≈ 5.093

Now

5.093 ( 3.1416) ≈ 16

16 ( 5) = 80

Learn more about prism here; https://brainly.com/question/24606047

Step-by-step explanation:

so why you are asking?????

Answer:

t > -2

Step-by-step explanation:

Since the graph is not continuous at -2, thus it is not included!

Answer:

C

Step-by-step explanation:

N = st

Number of toothpicks = (number of students) x (toothpicks)

D.

Answer:

(-51,-21) solve for the first variable in one of the equations. then substitute the result into the other equation

Answer:

reflected over the y axis

Answer:

slope is zero

Step-by-step explanation:

zero slope is neither positive or negative; it indicates no change whatsoever

Answer:

Step-by-step explanation:

L is 11

H is 48

Q2 = (32 + 33) / 2 = 32.5

Q1 is 23

Q3 is 46

2) The distribution is skewed right

hope this helps :)

Answer:

a) 13%

b) 45%

c) 16%

Step-by-step explanation:

To calculate what percentage is one number (a) of another (b), you have to divide a by b and then multiply result by 100. In this case number of students with grade A is 4, total number of students is 31,  therefore 4/31 * 100 = 12.9%. Rounding it to the nearest percentage will give you 13.

Just repeat the same steps for the remaning questions.

Answer:

0=2+3x+3/2

0=7/2+3x

-3x=7/2

divide by -3 on both sides

x=-7/6

hope this helps

Step-by-step explanation:

Answer: 50.5

Step-by-step explanation:

If it’s mathswatch you don’t need an explanation just type in the answer it gives you all the marks <3

The value of the angle,x=50.531°. The angle is obtained by the sin law.

A triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

From the sin rule;

[tex]\rm \frac{AB}{sin \angle ACB} =\frac{BC}{sin \angle BAC} \\\\ \rm \frac{5.6}{sin \angle ACB} =\frac{9.3}{sin \angle 50^0} \\\\ \angle ACB=27.49^0[/tex]

For the same angles;

[tex]\rm \angle ACB=\angle BCD[/tex]

From the exterior angle theorm ;

[tex]\rm \angle BCD+\angle CBD= \angle ADB[/tex]

∠CBD=x

∠ABD=78°

Putting the obtained values;

27.469°+x=78°

x=78°-27.469°

x=50.531°

Hence,the value of the angle,x=50.531°.

To learn more about triangle refer;

https://brainly.com/question/25813512

#SPJ2

Answer:

Pi = 3.14159265359

Step-by-step explanation:

3.14159, this is π

Followed by 2-6-5-3-5-8-9

Circumference over diameter

7-9, then 3-2-3

OMG! Can't you see?

8-4-6-2-6-4-3

And now we're on a spree

38 and 32, now we're blue

Oh, who knew?

7, 950 and then a two

88 and 41, so much fun

Now a run

9-7-1-6-9-3-9-9

Then 3-7, 51

Half way done!

0-5-8, now don't be late

2-0-9, where's the wine?

7-4, it's on the floor

Then 9-4-4-5-9

2-3-0, we gotta go

7-8, we can't wait

1-6-4-0-6-2-8

We're almost near the end, keep going

62, we're getting through

0-8-9-9, on time

8-6-2-8-0-3-4

There's only a few more!

8-2, then 5-3

42, 11, 7-0 and 67

We're done! Was that fun?

Learning random digits

So that you can brag to your friends

Answer:

536

Step-by-step explanation:

4 paws on each cat, multiply by the amount of cats = 536

Answer:

(6,7)

x=6

y=7

Step-by-step explanation:

What you do is combine the two equations and solve for x

1/3x+5=5/3x-3

Add three to both sides and subtract 1/3x from both as well

This gives us

8=4/3x

Divide by 4/3 and get

x=6

Then plug x=6 into any of the equations and get

1/3*6+5

This gives us 7

Answer:

I'm the bad guy

Step-by-step explanation:

Answer:

the answer is a octagon that has rotation of 45degrees

Answer:

that hiw you do it .hope it helps

ask me if you don't understand something

Step-by-step explanation:

thankyou...

Answer:

7.5 hours

228 ÷ 6

38 × 7.5 = 285

Answer:

The answer is A

Explanation:

I just took this quiz.

Answer:

[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]

Answer:

[tex]1.159\%[/tex]

Step-by-step explanation:

Given: Principal or P [tex]=\textrm{Rs }60,000[/tex].

Rate or R [tex]=10\%[/tex] per annum compounded annually.

Time or T [tex]=2[/tex] years.

To find: Percentage difference between compound interest of first year and second year.

Solution:

First year interest [tex]=\frac{\textrm{P}\times \textrm{R}\times \textrm{T}}{100}=\frac{60000\times 10\times 1}{100}=\textrm{Rs }6000[/tex].

First year amount [tex]=\textrm{Rs }60,000+\textrm{Rs }6,000=\textrm{Rs }66,000[/tex].

For the second year, the interest is compounded semi-annually.

So, time is doubled and the rate is halved.

Second year compounded amount [tex]=66,000\times [1+\frac{10}{2\times 100}]^2=66,000\times1.1025=\textrm{Rs }72,765[/tex].

Second year compound interest [tex]=\textrm{Rs }72,765-\textrm{Rs }66,000=\textrm{Rs }6,765[/tex].

Difference in interest of first and second year [tex]=\textrm{Rs }6,765-\textrm{Rs }6,000=\textrm{Rs }765[/tex].

Percentage difference [tex]=\frac{765}{66000}\times 100\%=1.159\%[/tex].

Hence, the percentage difference between compound interest of first year and second year is [tex]1.159\%[/tex].

Answer:

72/100

Step-by-step explanation:

Answer:

slope: -4, y intercept: (0, -5)

Step-by-step explanation:

Answer:

The answer is

[tex]y = - \frac{3}{4} x + \frac{13}{4} [/tex]

Answer: x = 6

Step-by-step explanation:

3x - 6.59 = 11.41

Add 6.59 to both sides

3x = 18

Divide both sides by 3

x = 6

Hope that helped!

Answer:

I have the same question,

Step-by-step explanation: