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4 years ago

Higher Order Thinking Let a = any rational

Mathematics

1 answer:

dezoksy [38]4 years ago

8 0

Answer:

a would be different because if it was negative it would be positive because absolute value is positive unless it is negative absolute value

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In the triangle below x=? Round to the nearest tenth. Please help!

julia-pushkina [17]

Answer:

The answer is less than 90 degrees

Step-by-step explanation:

4 0

3 years ago

Paul can install a 300 hundred square foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long wou

Vadim26 [7]

ANSWER

Paul and Matt will take
$9.9 \: \: hours$
to install the floor working together.

EXPLANATION

First, calculate Paul's rate, which is

$= \frac{1}{18}$

Next, calculate Matt's rate, which is,
$= \frac{1}{22}$

Let us assume that, Paul and Matt took
$x \: hours$
to do the work together.

Then, the rate of working together is,

$= \frac{1}{x}$

Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

$\frac{1}{18} + \frac{1}{22} = \frac{1}{x}$

Simplify the left hand side

$\frac{11 + 9}{198} = \frac{1}{x}$

$\frac{20}{198} = \frac{1}{x}$

We reciprocate both sides to get (You could have also done cross multiplication).

$\frac{198}{20} = \frac{x}{1}$

$x = 9.9 \: hours$

7 0

4 years ago

-4+5|4x-4|=21 solve for x

grin007 [14]

Answer:

Step-by-step explanation:

hello :

-4+5|4x-4|=21

add 4 : 5|4x-4| = 25

divid by 5 : |4x-4| = 5 means : 4x-4 = 5 or 4x-4 = - 5

4x=9 or 4x =-1

x= 9/4 or x = - 1/4

5 0

3 years ago

Americans who are 65 years of age or older make up 12.2% of the total population. if there are 30.2 million Americans in this ag

tensa zangetsu [6.8K]

Divide the population of 65 or older by the percentage:

30.2 million / 0.122 = 247.54 million total population. (Round answer as needed)

8 0

4 years ago

A sales person earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns 4,800

AURORKA [14]

Assign variables to you unknowns.

c = $ cars
t = $ trucks

6c + 3t = 4800
8c + t = 4600

use substitution or elimination to solve the system of equations.

using elimination.. multiply second equation by -3 and add to the other to combine equations into one.

6c + 3t = 4800
-3(8c + t = 4600)
---------------------------
-18c + 0 = -9000
c = 9000/18
c = 500 $

use this in one of the equations to find the cost of a truck.

8(500) + t = 4600
4000 + t = 4600
t = 4600 - 4000
t = 600 $

question asks
2(500) + 3(600) =
1000 + 1800 = 2800 $

3 0

3 years ago