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4 years ago

Which is the following inequalities is equivalent to that equation on problem 7

Mathematics

1 answer:

Triss [41]4 years ago

6 0

The answer is A

expand the brackets then add seven to both sides, then you 3x to both sides, then you divide both sides by five

and you get A

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Louis wants to carpet the rectangular floor of his basement. The basement has an area of 4860 square feet. The width of the base

levacccp [35]

Answer:

The length of Louise’s basement is 90 feet.

Step-by-step explanation:

Given:

Louis wants to carpet the rectangular floor of his basement.

The basement has an area of 4860 square feet.

The width of the basement is 3/5 it’s length.

Now, to find the length of Louise’s basement.

Let the length of basement be $x.$

So, the width is:

$\frac{3}{5}\ of\ x\\=\frac{3}{5}\times x\\=\frac{3x}{5}$

Area of the basement = 4860 square feet.

Now, to get the width of basement we put formula:

$Area=length\times width$

$4860=x\times \frac{3x}{5}$

$4860=\frac{3x^2}{5}$

Multiplying both sides by 5 we get:

$24300=3x^2$

Dividing both sides by 3 we get:

$8100=x^2$

Using square root on both sides we get:

$90=x$

$x=90\ feet.$

Therefore, the length of Louise’s basement is 90 feet.

5 0

4 years ago

A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi

Andre45 [30]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is $\frac{dx}{dt}$ when y = 6 and $\frac{dy}{dt}=-2$ .

The equation for Pythagorean's Theorem is

$x^2+y^2=c^2$ where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and divide everything by 2 to simplify:

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ . Looking at that equation, it looks like we need a value for x, y, $\frac{dx}{dt}$ and $\frac{dy}{dt}$ .

Since we are looking for $\frac{dx}{dt}$ , that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

$x^2+6^2=10^2$ and

$x^2+36=100$ and

$x^2=64$ so

x = 8.

NOW we can fill in the derivative and solve for $\frac{dx}{dt}$ .

Remember the derivative is

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ so

$8\frac{dx}{dt}+6(-2)=0$ and

$8\frac{dx}{dt}-12=0$ and

$8\frac{dx}{dt}=12$ so

$\frac{dx}{dt}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}=1.5 m/sec$

7 0

4 years ago

How do you estimate 3/4 - 1/8? How much of 3/4 is left?

Marat540 [252]

They need a common denominator. so the common denominator is 8. so multiply the 3 and the 4 each by 2. so then you get 6/8. then subtract 1/8 from 6/8. so it looks like 6/8-1/8 and you'll get an answer of 5/8.

7 0

3 years ago

Read 2 more answers

The box plot shows the ages of people at a movie screening. What percent of the people are between 20 and 37 years old?

iVinArrow [24]

Step-by-step explanation:

You didn't give the box plot, but to obtain the percentage of people between 20 and 37 years old, first of all, find the total number of people, T. Next, find the total number of people between 20 and 37 years old, t.

Then the percentage we want to find is:

P = T/t × 100

7 0

3 years ago

Help me help me help me help me

kykrilka [37]

3/8+4/8=7/8
It moves 3/8 first, then 4/8.

7 0

3 years ago

Read 2 more answers