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3 years ago

Which expressions is equivalent to (c-2d) (3c-2d)?

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

4 0

Answer:

$3 {c}^{2} + 4 {d}^{2} - 8cd$

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Read 2 more answers

Marisela cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long. How many yards of ribbon did she cut? Express

kakasveta [241]

Answer:

$2\frac{1}{2}$ yards.

Step-by-step explanation:

Please find the attachment.

We have been given that Marisela cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long.

To find yards of ribbon cut by Marisela, we will multiply 4 by 5 eighths of a yard (5/8).

$\text{Total ribbon cut by Marisela}=4\times \frac{5}{8}$

$\text{Total ribbon cut by Marisela}=\frac{4\times 5}{8}$

$\text{Total ribbon cut by Marisela}=\frac{20}{8}$

Express answer as the sum of whole number and the remaining fractional units:

$\text{Total ribbon cut by Marisela}=\frac{16+4}{8}$

$\text{Total ribbon cut by Marisela}=\frac{16}{8}+\frac{4}{8}$

$\text{Total ribbon cut by Marisela}=2+\frac{4}{8}$

$\text{Total ribbon cut by Marisela}=2\frac{4}{8}$

Therefore, Marisela cut $2\frac{4}{8}$ yards of ribbon.

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4 years ago

The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given by S = 11 + 3 t + 3 − 18 (t

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The parking rate at the hospital a parking garage are 50 cents for the 1st hour and 25 cents for each additional hour if guan part in the hospital parking garage for 8 hours how much will the total of charge for parking be

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4 years ago

Ice Cream Scoops - In shops with lots of ice-cream flavors there are many different flavor combinations, even with only a 2-scoo

blondinia [14]

Answer:

The general formula that can be used to find the required combinations for n flavor ice-cream.

$N_n = \frac{n(n+1)}{2}$

For 10 ice-cream flavors

$N_{10} = \frac{10(10+1)}{2}$

$N_{10} = 55$

Step-by-step explanation:

Let V = Vanila, C = Chocolate, S = Strawberry, P = Pineapple, B = Berry

2 ice-cream flavor:

V, C

{V/V, V/C, C/C}

3 possible combinations

3 ice-cream flavor:

V, C, S

{V/V, V/C, V/S, C/S, C/C, S/S}

6 possible combinations

4 ice-cream flavor:

V, C, S, P

{V/V, V/C, V/S, V/P, C/S, C/P, S/P, C/C, S/S, P/P}

10 possible combinations

5 ice-cream flavor:

V, C, S, P, B

{V/V, V/C, V/S, V/P, V/B, C/S, C/P, C/B, S/P, S/B, P/B, C/C, S/S, P/P, B/B }

15 possible combinations

So we have a series of

3, 6, 10, 15...

This series is known as Triangular number series

1 + 2 = 3

1 + 2 + 3 = 6

1 + 2 + 3 + 4 = 10

1 + 2 + 3 + 4 + 5 = 15

The general formula for this series is

$N_n = \frac{n(n+1)}{2}$

Using the above formula we can predict the number of 2-scoop combinations with 10 flavors.

$N_{10} = \frac{10(10+1)}{2}$

$N_{10} = 55$

Therefore, there are 55 different combinations of 2-scoop with 10 flavors.

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4 years ago