A pair of boots is on sale for 20% off. The regular price of the boots is $13. What is the sale price of the boots?

Bill and Eugene left the airport at the same time. They traveled in opposite directions. Eugene traveled 21.1 km/h faster than B

gizmo_the_mogwai [7]

Answer:

56.3 kilometers per hour

Step-by-step explanation:

We know D = RT

where

D is distance

R is rate (speed)

T is time

Let's Bill's rate be "x". Thus using equation we can write:

D = xt

We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:

D = (21.1 + x)t

D = 21.1t + xt

Now, putting t = 1 in both since after 1 hour given, we have:

D = x(1)

D = x

and

D = 21.1(1) + x(1)

D = 21.1 + x

We know the sum of both the distance is 133.7, so we can write:

x + 21.1 + x = 133.7

Solving for x:

2x = 133.7 - 21.1

2x = 112.6

x = 112.6 / 2

x = 56.3 km/hr

This is Bill's rate: 56.3 kilometers per hour

8 0

3 years ago

I need the surface area of this shape EASY POINTS<br><br> Explain your answer

Alexus [3.1K]

Hi there! :)

So, to find the surface area, all you need to do is find the area of each surface on the shape.

Theres 5 different shapes in the model, so you're going to need to find the area of each one.

There is:

1. left side triangle

2.right side triangle

3.slanted rectangle

4.bottom rectangle

5. back rectangle

all the rectangles are simple, so let's start with them.

the dimensions of the slanted rectangle are 7m and 8m, so 8•7 is 56.

the dimensions of the bottom rectangle are 5m and 7m, so its 35.

the back rectangle has 5m and 7m so it is 35.

Halfway done!!

Now, onto the triangles. they're the same thing as the rectangles, but you half to 'cut it in half' or just divide by two. both of the triangles will be the same.

the triangles measurements are 5m and 8m, so 5•8 is 40, 40÷2 is 20. both of the triangles being 20, now all we have to do is add it up.

20+20+35+35+56=166

and that's about it!

I hope this helps, sorry it took so long to answer, but I hope you have a good day!

-Scarlet

(see photo for my paper work)

{CHECK REPLIES!}

5 0

3 years ago

If each foot of water in a lake screens out 60% of the light above, what percent of the light passes through 5 feet of water?

BartSMP [9]

The amount of light passing through each foot the water in the lake = 100% - 60% = 40%
The percent of light passing through 5 feet of water = 0.4^5 = 0.01024 = 1.02%

8 0

3 years ago

What is the measure of G?

allsm [11]

The measure of G is 28 because it is an isosceles triangle

7 0

3 years ago

A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr

Rufina [12.5K]

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
$120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\$
Logarithm both sides of the equation:
$ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
$A = 120 000 000 * e ^{0.0083*17} \\ 
A = 120 000 000 * e^{0.1411} \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000
$
Thus, the population will be 138 million in 2014

8 0

3 years ago