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4 years ago

11

Katie completes 2/3 of a craft project in 3/4 of an hour. At this rate, what fraction of the craft project does Katie complete i

n one hour? Give your answer in fraction form. *

2 answers:

andre [41]4 years ago

7 0

Answer: in one hour she will complete 8/9 of her projec!

Step-by-step explanation:

jonny [76]4 years ago

3 0

Divide the quantity done by the time:

2/3 / 3/4

When dividing by a fraction flip it over and change divide to multiply:

2/3 x 4/3 = (2 x4) / (3x 3) = 8/9

In 1 hour she will complete 8/9 of the project.

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The corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?

Nuetrik [128]

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(-6, 2)) = (x_1, y_1)$

$B(2, 6) = (x_2, y_2)$

$AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2}$

$AB = \sqrt{(8)^2 + (4)^2}$

$AB = \sqrt{64 + 16} = \sqrt{80}$

$AB = 8.9$ (nearest tenth)

Distance between B(2, 6) and C(7, 1):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$B(2, 6) = (x_1, y_1)$

$C(7, 1) = (x_2, y_2)$

$BC = \sqrt{(7 - 2)^2 + (1 - 6)^2}$

$BC = \sqrt{(5)^2 + (-5)^2}$

$BC = \sqrt{25 + 25} = \sqrt{50}$

$BC = 7.1$ (nearest tenth)

Distance between C(7, 1) and D(3, -5):

$CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$C(7, 1) = (x_1, y_1)$

$D(3, -5) = (x_2, y_2)$

$CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2}$

$CD = \sqrt{(-4)^2 + (-6)^2}$

$CD = \sqrt{16 + 36} = \sqrt{52}$

$CD = 7.2$ (nearest tenth)

Distance between D(3, -5) and A(-6, 2):

$DA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$D(3, -5) = (x_1, y_1)$

$A(-6, 2) = (x_2, y_2)$

$DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2}$

$DA = \sqrt{(-9)^2 + (7)^2}$

$DA = \sqrt{81 + 49} = \sqrt{130}$

$DA = 11.4$ (nearest tenth)

Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units

8 0

3 years ago

I'm stuck on this question help!

Vadim26 [7]

1500 is your answer hope it helps

6 0

3 years ago

In the following set, which measure of central tendency would probably be the most accurate representation of the data?

s2008m [1.1K]

Median
Median is the mean of 18 and 32 because they are in the middle, so it's 25. Median is the best representation because most numbers are around 20-30. 115 makes the mean go super high, which is not good, 11 drags the mean down, which is not good either.
Extras:
Mean: 11+11+18+32+34+115 =
221 divided by 6 =
36.88

7 0

3 years ago

Read 2 more answers

Factor the expression using GCF

julsineya [31]

7 + 14
7(1 + 2)

44 - 11
11( 4 - 1)

18 - 12
6(3 - 2)

70 + 95
5(14 + 19)

60 - 36
12(5 - 3)

100 - 80
20(5 - 4)

6 0

3 years ago

Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She th

Anastaziya [24]

Answer:

s/2 +17

Step-by-step explanation:

If s represents the number of stamps Emily started with, then the number she had after selling half of them is ...

s/2

After purchasing 17 more, she had ...

s/2 +17

7 0

4 years ago

Read 2 more answers