Elizabeth, Heather, and Erin share the same birthday. They’ve decided to join together to have one big birthday party. The event location says it will cost $70 for the rental of the space and $15 per guest. Each girl invites x number of guests, including themselves in their guest count.The girls have each written a different correct expression to represent the total cost of the party. EXPLAIN how each of the 3 expressions below represents the total cost.
(a) Elizabeth’s expression: 15x + 15x + 15x + 70

(b) Heather’s expression: 15(x + x + x) + 70

(c) Erin’s expression: x(15 + 15 + 15) + 70

Answers

Answer 1

Answer: Elizabeth finds the cost of each girl's guests and adds the rental cost, for a result of the total cost.

Heather multiplies the cost per guest by the total number of guests, and adds the rental cost. This has the same result.

Erin multiplies the amount of guests each girl invites with the price per guest, taking the price three times since three girls invite guests. Then, she adds the rental cost.

Thus, all three equations are equal to the costs of the guests added to the rental cost, which is the full cost.

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Julie figures that she will need at least 540 Marks (German money) to get the items she wants when visiting Germany. Give an estimating example of how Julie could guarantee herself of having at least 540 Marks. Show and explain your example below.

Answers

The estimated money Julie should carry with herself is $572.64

What is estimation?

Estimating in maths is a way of approximately calculating an answer or to check its accuracy.

Given that, Julie figures that she will need at least 540 Marks (German money) to get the items she wants when visiting Germany.

To find how much currency she should carry, we will convert the US currency into German currency

$1.06 = €1

Therefore, €540 = 1.06x540 = $572.64

Hence, The estimated money Julie should carry with herself is $572.64

For more references on estimation, click;

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having at least 636.47 to exchange to 540 marks

Can someone please explain to me (in steps) how to round decimals to the nearest half? Thanks!!

Answers

Find the place value you want (the "rounding digit") and look at the digit just to the right of it.If that digit is less than 5, do not change the rounding digit but drop all digits to the right of it.If that digit is greater than or equal to five, add one to the rounding digit and drop all digits to the right of it.

you have to draw a number line and put it in order like this and also do it the right way

Give me an example of a permutation

Answers

some examples are 5*4*3*2*1=120

7*6*5*4*3=2520

40% of what number is 5

Answers

40% can be expressed as 40/100 or 0.4

$(40)/(100) * x = 5\n\n0.4 * x = 5$

Divide both sides by 0.4 to isolate 'x'

$0.4x = 5\n\n(0.4x)/(0.4) = (5)/(0.4)\n\nx = (5)/(0.4) \n\n\boxed{\bf{x = 12.5}}$

40% of 12.5 is 5.

It would be 12 and 1/2 because 40% is 2 and 1/2 of 100 and then you do 5 times 2 and 1/2 and you get 12 and 1/2.

A radio telescope has a parabolic surface, as shown below. A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 1 meter and its width from left to right is 8 meters. If the telescope is 1 m deep and 8 m wide, how far is the focus from the vertex?

Answers

Answer:

90m

Step-by-step explanation:

A right rectangle prism has a length of 2 1/2 feet, a width of 3 feet, and a height of 1 1/2 feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism? How many 1/2 foot unit cubes can be added to fill the prism completely?

Answers

Answer:

Volume = 11 1/4 feet cubed

90 cubes can be added to fill the prism.

Step-by-step explanation:

(L)(W)(H) = volume

(2 1/2)(3)(1 1/2) = 11 1/4 ft cubed

1 cube is 1/2 a foot so 2 1/2 ft is 5 cubes, 3 ft is 6 cubes, and 1 1/2 ft is 3 cubes.

(5)(6)(3) = 90 cubes

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Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point.x = 27/16x = 13/8x = 25/16x = 7/4