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2 years ago

11

BRAINLIEST Another submarine's descent can be represented as y = -240x, where y is the elevation and x is time in hours. How lon

g will it take this submarine to make the descent?

1 answer:

frez [133]2 years ago

3 0

Answer:

164

Step-by-step explanation:

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A book store sells a textbook for $150. If the textbook is on sale with 12% off, and there is a sales tax of 8.25% added to the

Yuri [45]

The textbook is $150 originally, so to find the price of the textbook on sale, multiply the original price by 12% (0.12). Then subtract 12% of 150 from 150.

150 * 0.12 = 18

Subtract 18 from 150.

150 - 18 = 132

Multiply the price of the textbook on sale by the sales tax of 8.25% (0.0825). Then add the tax price onto the sale price of the textbook.

132 * 0.0825 = 10.89

Add 10.89 to 132.

132 + 10.89 = 142.89

The final price of the textbook is $142.89.

4 0

3 years ago

Simplify, state all restrictions.

Kipish [7]

The simplified expression is $\frac{1 - x - y}{x + y}$ and the restriction is $y \ne -x$

<h3>How to simplify the expression?</h3>

The expression is given as:

$\frac{x - y}{4x^2 - 8xy + 3y^2} \div \frac{2x + y}{2x - 3y} \times \frac{4x^2 - y^2}{x^2 - y^2} -1$

Express x^2 - y^2 as (x + y)(x - y) and factorize other expressions

$\frac{x - y}{(2x - y)(2x - 3y)} \div \frac{2x + y}{2x - 3y} \times \frac{4x^2 - y^2}{(x - y)(x + y)} -1$

Rewrite the expression as products

$\frac{x - y}{(2x - y)(2x - 3y)} \times \frac{2x - 3y}{2x + y} \times \frac{4x^2 - y^2}{(x - y)(x + y)} -1$

Cancel out the common factors

$\frac{1}{(2x - y)} \times \frac{1}{2x + y} \times \frac{4x^2 - y^2}{(x + y)} -1$

Express 4x^2 - y^2 as (2x - y)(2x + y)

$\frac{1}{(2x - y)} \times \frac{1}{2x + y} \times \frac{(2x - y)(2x + y)}{(x + y)} -1$

Cancel out the common factors

$\frac{1}{x + y} -1$

Take the LCM

$\frac{1 - x - y}{x + y}$

Hence, the simplified expression is $\frac{1 - x - y}{x + y}$ and the restriction is $y \ne -x$

Read more about expressions at:

brainly.com/question/723406

#SPJ1

7 0

1 year ago

I need to find the volume for number 10

kumpel [21]

Using the diagonal dimension and the height we can solve for the diameter of the cylinder using the Pythagorean theorem.

x^2 + 9.5^2 = 19.3^2

x^2 + 90.25 = 372.49

x^2 = 372.49 - 90.25

x^2 = 282.24

x = √282.24

x = 16.8

Now we know the diamteer and height, we can calculate the volume using the formula V = pi * r^2 * h

r = 1/2 the diameter = 16.8/2 = 8.4

using 3.14 for pi

Volume = 3.14 * 8.4^2 * 9.5

V = 3.14 * 70.56 * 9.5

v = 3.14 * 670.32

v = 2104.8 cubic meters

5 0

2 years ago

Henry’s age is 10 years less than 4 times Paul’s age. If the sum of their ages is equal to 25 years, find the age of each boy.

Mazyrski [523]

Answer:

Henry is 18 and Paul is 7

Step-by-step explanation:

I figured it out in my head.

6 0

3 years ago

Read 2 more answers

Which represents the solution to the absolute value equation? 3|2x+4|-1=11

larisa86 [58]

The first step for absolute value equations is to isolate the expression contained within the absolute value bars:

3|2x+4|-1 = 11
3|2x+4| = 12
|2x+4| = 4

so |2x+4| is 4 units away from 0 on a number line, but we don't know in which direction -- negative or positive? you'll have two answers.

2x+4 = 4

AND

2x+4 = -4

solve both of those two step equations and you'll get

x = 0

AND

x = -4

so 0 and -4 are your solutions.

5 0

2 years ago