Alana ate breakfast at a restaurant. The bill came to $79.75. If she left 20% tip, how much was the tip?

The home that you are interested in purchasing is listed at $85,000. in order to get financing, you have to place a 5% down paym

timurjin [86]

85,000 * .05 = <span> <span> <span> 4,250.00
</span></span></span>

6 0

3 years ago

Use the formula v = u + at to find the velocity when the initial velocity is 3 m/s the acceleration is 1.5 m/s the time is 7 s

vichka [17]

<em> $answer \\ 13.5 \: m/s \\ given \\ initial \: velocity(u) = \: 3 \: m/s \\ acceleration(a) = 1.5 \: m/s ^2\\ time(t) = 7 \: second \\ now \\ v = u + at \\ or \: v = 3 + 1.5 \times 7 \\ \: or \: v = 3 + 10.5 \\ v = 13.5 \: m/s \\ hope \: it \: helps$ </em>

4 0

3 years ago

Five candy bars cost $3.23. How much will 7 candy bars cost?

Svetlanka [38]

Answer: it will cost $4.85

Step-by-step explanation:

Hope this helped :)

3 0

2 years ago

Read 2 more answers

What is the area of parallelogram rstu? 21 square units 24 square units 28 square units 32 square units

Ray Of Light [21]

The area of the considered parallelogram RTSU is given by: Option A: 21 sq. units

<h3>How to find the area of a parallelogram?</h3>

Area of a parallelogram = (its height × its base) sq. units.

<h3>What is the distance between two points ( p,q) and (x,y)?</h3>

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

$D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units$

For this case, the missing diagram is attached below.

If we take the base as ST then as ST is parallel to y axis, the line perpendicular to ST would be parallel to x axis. The heigth of a parallogram is the perpendicular distance between its base and top.

The base is ST and top is RU, the line segment US is perpendicular to both RU and US and its length,therefore, will serve as height as its length=perpendicular distance between the base and the top of the parallelogram.

Thus, we get:

Area of RTSU = Length of ST × Length of US

The coordinates of endpoints of ST are (4,-1), (4,-4)

Thus, the length of ST = distance between S and T = $\sqrt{(4-4)^2 + (-1 - (-4))^2 }= 3$

The coordinates of endpoints of US are (-3,-1), (4,-1)

Thus, the length of US = distance between U and S = $\sqrt{(-3-4)^2 + (-1 - (-1))^2 }= 7$

Thus, Area of RTSU = Length of ST × Length of US = 3 × 7 = 21 sq. units.

Thus, the area of the considered parallelogram RTSU is given by: Option A: 21 sq. units

Learn more about distance between two points here:

brainly.com/question/16410393

3 0

2 years ago

1. Find the function f (x) =ax2 + bx+ c whose graph contains the points (1, 2), (-2,-7), and (2, -3). Write the system of equati

IRISSAK [1]

Answer:

1. The function is -2x^2 + x + 3.

Step-by-step explanation:

1. The point at (1,2) gives the equation:

a * (1^2) + 1b + c = 2

a + b + c = 2

The point at (-2,-7) gives the equation:

a * (-2^2) + (-2b) + c = 7

4a - 2b + c = -7

The point at (2,-3) gives the equation:

a * (2^2) + 2b + c = -3

4a + 2b + c = -3

Hence, all three equations are:

a + b + c = 2

4a - 2b + c = -7

4a + 2b + c = -3

Now, subtract the second equation from the third equation to get:

(4a + 2b + c) - (4a - 2b + c) = -3 - (-7)

4a - 4a + 2b + 2b + c - c = -3 + 7

4b = 4

b = 1

Hence, let's now update our previous equations:

a + 1 + c = 2 => a + c = 1

4a - 2(1) + c = -7 => 4a + c = -5

4a + 2(1) + c = -3 => 4a + c = -5

This can be further whittled down into two equations:

a + c = 1

4a + c = -5

Hence, we can now subtract the first equation from the second to get:

(4a + c) - (a + c) = -5 - 1

4a - a + c - c = -6

3a = -6

a = -2

Therefore, c = 3 (a + c = 1, -2 + c = 1, c = 1 + 2, c = 3).

And the function is -2x^2 + x + 3.

Hope this helped!

4 0

3 years ago