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Sergeeva-Olga [200]

3 years ago

5

George has a box of chocolates. There are 15 pieces of chocolate with nuts and 25 pieces of chocolate without nuts in the box. W

hat is the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts?

1 answer:

salantis [7]3 years ago

4 0

25:15is the original ratio which reduces to 5:3

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$0.68. When you round a number when it comes to decimals, you need to round to the nearest 100ths place.

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Solve. Write or draw to explain. Grace has $1.10. she spends 75¢ on a toy. How much change did she get back?

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35 cents is the awnser

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3 years ago

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The faces of a number cube are labeled 1 through 6. If the number cube is rolled 72 times, which is closest to the number of tim

Inessa [10]

18 times

Since there only two numbers greater than 4 (5 & 6), you subtract 2 from 6.

$6 - 2 = 4$

Then, you divide that from 72.

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3 years ago

Given y=3x - 4, write an equation that is shifted down 10 and is less steep.

antoniya [11.8K]

Answer:

y = ½x - 14

Step-by-step explanation:

Given the linear equation, y = 3x - 4, where the <u>slope</u>, m = 3, and the <u>y-intercept</u> is (0, -4):

The slope of a linear equation represents the steepness of the line's graph. The higher the value of the slope, the steeper the line. Hence, the slope of the other line must be less than three, but is greater than zero: 0 < <em>m</em> < 3. (a negative slope will show a <em>declining</em> line).

Next, the vertical translation of the line involves changing the value of the parent graph's y-intercept. Since the prompt states that the equation must represent a downward vertical shift of 10 units, then the y-intercept of the other line must be (0, -14).

The linear equation that I have chosen that meets the requirements of the given prompt is: y = ½x - 14. <em>You're more than welcome to choose a different slope</em>, as long as it is less than 3, but is greater than 0 (must be a positive slope).

Attached is a graph of both equations, to demonstrate that the other equation represents a graph with a steeper slope than the original graph.

3 0

2 years ago

For a field trip, a highschool want to buy T-shirts and sweatshirts. The expression px + 29y repersents the cost of buying x T-s

marysya [2.9K]

Answer:

The value of p is $12.

Step-by-step explanation:

Given;

c = px + 29y ,,,,,,,,,,,,,,,,,,, (1)

Where;

c = cost of buying x T-shirts and y sweatshirts from the store

p = price of one or each T-shirt = ?

x = number of T-shirts bought

29 = price of one or each sweatshirt

y = number of sweatshirt bought

Based on the above breakdown, if each sweatshirt cost $17 more than a T-shirt, the value of p can be calculated as follows:

29 = p + 17

p = 29 - 17

p = 12

Therefore, the value of p is $12.

Additional note:

Note that this is not part of the question but it is just an example to make you understand the question better.

If we assume that 10 T-shirts and 10 sweatshirts are bought from the store, we can use equation (1) above to calculate the cost as follows:

Where;

c = cost of buying x T-shirts and y sweatshirts from the store = ?

p = price of one or each T-shirt = 12

x = number of T-shirts bought = 10

29 = price of one or each sweatshirt

y = number of sweatshirt bought = 10

Substituting the values into equation (1), we have:

c = (12 * 10) + (29 * 10)

c = 120 + 290

c = 410

Therefore, the cost of of buying 10 T-shirts and 10 sweatshirts from the store will be $410.

5 0

3 years ago