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3 years ago

2(1 – x) > 2x HELP ASAP!!! I CANT FIGURE THIS OUT

Mathematics

1 answer:

katrin [286]3 years ago

4 0

<h3>Answer: x < 1/2</h3>

This is the same as saying x < 0.5 since 1/2 = 0.5

====================================================

Work Shown:

2(1-x) > 2x

2*1 + 2*(-x) > 2x ..... distribute

2 - 2x > 2x

2 > 2x+2x .... adding 2x to both sides

2 > 4x

4x < 2 ..... flip both sides; flip the inequality sign

x < 2/4 ..... dividing both sides by 4; see note below

x < 1/2

Note: We do not flip the inequality sign here because we are dividing both sides by a positive value. The inequality sign would only flip if you divide both sides by a negative number.

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Miss Stevens drove through a total of 36 intersections on her way home from work last week at four of every 16 intersections Mis

Nostrana [21]

Answer:

8 intersections

Step-by-step explanation:

Miss Stevens drove through a total of 36 intersections on her way home from work last week.

At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .

This is calculated as:

36 intersections ÷ 16 intersections

= 2 4/16

= 2 1/4

At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .

4 of every 16 intersections = stop for a red light

Hence:

16/4 = 4 intersections

Hence: 4 intersections = 1 stop for a read

The number of intersections that Miss Stevens had to stop for a red light is:

2 × 4 intersections = 8 intersections

6 0

3 years ago

Use the substitution method to solve the system of equations. Is there a unique solution, no solution, or infinitely many soluti

olga_2 [115]

I hope this helps you

-4/3x+y=15

-12x-4y= -60

12x+4y=60

0=0

no solution

6 0

3 years ago

Read 2 more answers

What is the sum of a 12-term arithmetic sequence where the last term is 13 and the common difference is -10?

Y_Kistochka [10]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=12\\
d=-10\\
a_{12}=13
\end{cases}
\\\\\\
a_{12}=a_1+(12-1)d\implies 13=a_1+(12-1)(-10)
\\\\\\
13=a_1-110\implies \boxed{123=a_1}$

$\bf \\\\
-------------------------------\\\\
\textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
a_n=\textit{value of the }n^{th}\ term\\
------------\\
n=12\\
a_1=123\\
a_{12}=13
\end{cases}
\\\\\\
S_{12}=\cfrac{12}{2}(a_1+a_{12})\implies S_{12}=\cfrac{12}{2}(123+13)$

and surely you know how much that is.

6 0

3 years ago

A recently published study shows that 50% of Americans adults take multivitamins regularly. Another recent study showed that 20.

Stels [109]

Answer:

The probability that a randomly selected American adult takes multivitamins regularly and works out regularly is 0.103

Step-by-step explanation:

p(Americans adults take multivitamins regularly) = 50% = 0.50

p(American adults work out regularly) = 20.6 = 0.206

p(Americans adults take multivitamins regularly and American adults work out regularly) = 0.50* 0.206 = 0.103

Thus, p(Americans adults take multivitamins regularly and American adults work out regularly) = 0.103

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3 years ago

on the school trip, Margie spent $12.40 on 2 souvenirs, including tax. Each souvenir cost the same amount. The amount of tax was

Klio2033 [76]

$5.84 is the correct answer

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3 years ago