1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paraphin [41]
3 years ago
11

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.
Mathematics
1 answer:
ioda3 years ago
6 0

Answer:

<em>The cost in dollars and the amount of yogurt are proportional</em>

Step-by-step explanation:

<u>Proportions</u>

Two variables are proportional if the ratio or division between them is a constant value.

Kareem buys a 32-oz container of yogurt for $2.56. We can compute the ratio of the quantity of yogurt and price 32/2.56 and we get 12.5. Jonah buys a 6-oz container of yogurt for $0.48. The relation is now 6/0.48=12.5

Since both ratios are equal, we can say the amount of yogurt, and the cost in dollars are proportional variables

You might be interested in
If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?
Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

(0,-16)

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0
2 years ago
Triangle ABC
Virty [35]

Answer:

15 cm

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.

A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

\frac{BC}{EF} =\frac{AC}{DF}.

\frac{18}{x}=\frac{12}{10}

To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

\frac{18}{x}=\frac{12}{10}\\ 18*10 = x*12 \\ 180 = 12x \\ 15 = x

5 0
3 years ago
Can you do this please​
dezoksy [38]

Answer:

x = 24

Step-by-step explanation:

ABCD is a parallelogram.

Angle B and Angle C are adjacent (successive) angles.

Adjacent angles of a parallelogram are supplementary.

Therefore,

(5x) \degree + (2x + 12) \degree = 180 \degree \\  \\ (5x + 2x + 12) \degree = 180 \degree \\  \\ (7x+ 12) \degree = 180 \degree \\  \\7x+ 12 = 180 \\  \\7x = 180 - 12 \\  \\ 7x = 168 \\  \\ x =  \frac{168}{7}  \\  \\ x = 24

5 0
2 years ago
Read 2 more answers
What is (3x2+x-1)(x^4-2x+1)
Inga [223]

Answer:

3

x

6

+

x

5

−

x

4

−

6

x

3

+

x

2

+

3

x

−

1

Step-by-step explanation:

simp

7 0
2 years ago
Read 2 more answers
If you flip a coin four times what is the probability of flipping tails four times
vredina [299]
There are 16 possible outcomes.
Out of all 16 outcomes, there is only one way to get the result T T T T.
Therefore, the probability is 1/16 or <span> <span> <span> 0.0625 </span> </span> </span>




5 0
3 years ago
Other questions:
  • Elizabeth bought 4 drinks and some nachos. The nachos cost $6, and she spent a total of $18. How much did each drink cost? Use d
    12·2 answers
  • Given the following recurrence relation: An=(−2)An−1, with A0=(−1)
    9·1 answer
  • What is the exact volume of the cone?
    5·2 answers
  • Patrick built a robot that is 0.8 meters tall. Adelaide built a robot that is 2 feet and 9 inches tall. Who has the taller robot
    10·1 answer
  • Find the missing height of a rectangular prism that has a volume of 137.5 inches with a width of 2.5 and length 10 in
    12·1 answer
  • Please help it’s due tomorrow!
    13·2 answers
  • I need help on this plzs
    7·2 answers
  • PLEASE HELP!! USATESTPREP
    5·1 answer
  • Roco draws two shapes. one of his shapes is 4 times longer and 4 times wider than the other. he found that the perimeter of the
    9·1 answer
  • At a BurgerFi, the ratio of burgers with Everything on it to burgers with just cheese was 5:3 on Saturday. BurgerFi made a total
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!