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Aleksandr [31]
2 years ago
5

The table shows the amount of sugar needed to make lemonade. Are the quantities proportional? Explain which method you used and

how you used it to determine if they were proportionate or not.
Sugar (grams)

4

6

8

10

Servings

2

3

4

5
Mathematics
2 answers:
Klio2033 [76]2 years ago
7 0

Answer: Yes

Step-by-step explanation:

For the first sugar and servings part, 4 for sugar, 2 for servings.

The ratio for this example above it for sugars to servings it 2:1. So every 2 sugars is every 1 serving and this applies to every other of the sugars and servings in the table.

Mrrafil [7]2 years ago
6 0

Yes there are propotional.

If you pair them up in proportions:

4/2

6/3

8/4

10/5

If you divide them all you get 2 and that means they are all proportional

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Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations
labwork [276]

Step-by-step explanation:

A. this is a geometric sequence.

according to y-coordinates =>

3, 6, 12, 24

have a T1 = 3 and ratio = 6/3 = 2

B. the formula = Tn = r. T(n-1)

T5 = 2. T4

= 2. 24 = 48 minutes

C. the formula : Tn = T1 . r^(n-1)

T9 = 3. 2^(9-1)

= 3. 2^8

= 3. 256

= 768 munutes

6 0
2 years ago
We theater is giving away a souvenir poster to any customer with a concession stand receive that exceeds $60 the theater sells a
meriva

Answer:  6x + 3.5y > 60

<u>Step-by-step explanation:</u>

Popcorn: cost is $6.00, variable is x

Soda: cost is $3.50, variable is y

Total: GREATER than $60

Popcorn + Soda    >    Total

 6x        +   3.5y    >      60

4 0
3 years ago
PLEASE HELP URGENT!!!!
Dovator [93]

Answer:

£ 21552.13

Step-by-step explanation:

P= £18790

r =4.9% = \frac{4.9}{100}=0.049

t = 3 years

I = Prt

I = 18790 * 0.049 * 3

 =£ 2762.13

After 3 years , the amount in Dan's account = 18790 + 2762.13

                                                                         = £ 21552.13

7 0
2 years ago
The answer is red show step by step of the pro tem to get the answer
miskamm [114]

In order to rationalize the denominator of each expression, we need to multiply the expression by the same radical in the denominator, this way we can remove the radical from the denominator.

9)

\frac{5\sqrt{4}}{\sqrt{3}}(\cdot\sqrt{3})=\frac{5\sqrt{4}\sqrt{3}}{(\sqrt{3})^2}=\frac{5\cdot2\cdot\sqrt{3}}{3}=\frac{10\sqrt{3}}{3}

10)

-\frac{5}{3\sqrt{2}}(\cdot\sqrt{2})=-\frac{5\sqrt{2}}{3(\sqrt{2})^2}=-\frac{5\sqrt{2}}{3\cdot2}=-\frac{5\sqrt{2}}{6}

11)

\frac{2\sqrt{3}}{4\sqrt{5}}(\cdot\sqrt{5})=\frac{2\sqrt{3}\sqrt{5}}{4(\sqrt{5})^2}=\frac{2\sqrt{15}}{4\cdot5}=\frac{\sqrt{15}}{2\cdot5}=\frac{\sqrt{15}}{10}

12)

\frac{\sqrt{5}}{\sqrt{2}}(\cdot\sqrt{2})=\frac{\sqrt{5}\sqrt{2}}{(\sqrt{2})^2}=\frac{\sqrt{10}}{2}

3 0
1 year ago
Plot and connect the points A (2, -2), B (-4, -4), C (-4, -1), D (-2, 3), E (1, 3), F (2, 5), and find the length of BC.
Paul [167]

Answer:

BC = 3 units

Step-by-step explanation:

Given points:

  • A = (2, -2)
  • B = (-4, -4)
  • C = (-4, -1)
  • D = (-2, 3)
  • E = (1, 3)
  • F = (2, 5)

<u>Plot the points</u> on the coordinate plane (x, y) and connect them in alphabetical order with straight lines (see attached).

From visual inspection of the <u>drawn polygon</u>, we can see that the length of BC is 3 units.

It is fairly simple to calculate the length of BC without plotting the points.

As points B and C have the same x-value, this means that the distance between them is simply the difference between their y-values.

⇒ distance = |-4 - (-1)| = |-3| = 3 units

6 0
2 years ago
Read 2 more answers
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