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3 years ago

13

Five friends plan to split a restaurant bill evenly. The total cost of the meal is $89.75, and they want to leave a 20% tip. Wha

t amount should each friend pay?

1 answer:

nlexa [21]3 years ago

4 0

The amount each friend should leave is $3.59 each

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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

Need help also if you can can you do it step-by-step explanation please thank you 3(c + 8) = 28<br>

skelet666 [1.2K]

Answer:

c = 4/3

Step-by-step explanation:

3(c + 8) = 28

Since we have paranthesis, first use the dsitributive property [multiply 3 by c and 8]

3(c + 8) = 28

3c + 24 = 28

To find the value of c, you must have c alone on one side, so subtract 24 from both sides

3c + 24 = 28

3c = 4

Now, divide by 3 to both sides to get your answer

3c = 4

c = 4/3

Therefore, the answer is 4/3!

I hope this helps! :)

3 0

3 years ago

Read 2 more answers

Some one please help me with these questions I’m struggling :(

Juliette [100K]

Answer: 6) 15 1/10

Step-by-step explanation:

Add the whole numbers and then find a common number for the bottom fraction. So that'd be ten. To get to ten from 2 you'd multiply by five then multiply the top number by five too. That gets you 5/10 and do the same for the other fraction. Get the bottom number to ten then whatever you multiply by do the same to the top. After doing that putting the fractions together which gets you 11/10. That'd make 1 1/10 so that makes it 15 instead of 14 whole

8 0

2 years ago

Read 2 more answers

Here is an expression: 2 + 3ⁱ ( Remember what you do when you replace i with a number) Evaluate the expression when i is 1.

Kamila [148]

Answer:

The value of the expression when i is 1 is equals to 5.

Step-by-step explanation:

We are given the following expression:

$2 + 3^{i}$

Evaluate the expression when i is 1.

We replace i by 1. When we elevate a number to the 1, the result is the number we elevate. So

$2 + 3^{i} = 2 + 3^{1} = 2 + 3 = 5$

The value of the expression when i is 1 is equals to 5.

3 0

3 years ago

Jeanette uses more yarn to knit a poncho than she uses to knit a scarf. Write an inequality to represent the amount of yarn Jean

kow [346]

Answer:

$p > s$

Step-by-step explanation:

Given

$p \to poncho$

$s \to scarf$

Required

The inequality

From the question, we understand that;

the number of p used is more than the number of s

<em>more than means greater than.</em>

So, the inequality is:

$p > s$

To represent this on a number line.

First, we identify the position of s (i.e. scarf)

$p > s$ implies that p is any point to the right of s

7 0

2 years ago