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Alex
3 years ago
13

How many solutions does the equation 2(9x−6)=18x+2 have?

Mathematics
1 answer:
aleksley [76]3 years ago
3 0

Answer:

no solution

Step-by-step explanation:

first you have expand the equation and so you will get

18x-12=18x+2

after you cancel 18x on both sides and so you will get

-12=2

and since that equation is false you will get

no solution

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A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of
cestrela7 [59]

The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.

<em><u>Explanation</u></em>

Suppose,  x gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be:  (35-x) gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the <u>distance traveled by the first car</u> in x gallons of gas =35x miles and the <u>distance traveled by the second car</u> in (35-x) gallons of gas =15(35-x) miles.

Given that, the two cars went a <u>combined total of 925 miles</u>. So, the equation will be.....

35x+15(35-x)=925\\ \\ 35x+525-15x=925\\ \\ 20x=925-525=400\\ \\ x=\frac{400}{20}=20

So, the amount of gas consumed by the first car is 20 gallons and the amount of gas consumed by the second car is: (35 - 20) = 15 gallons.

3 0
4 years ago
Show me the steps to solve and the solution y-2&gt;1/2(x-2)
aev [14]
<span>y-2>1/2(x-2) can be expanded as follows:  y - 2 > (1/2)x - 1

Mult. all terms by 2 to remove the fractions:

2y - 4 > x - 2

Add 4 to both sides:   2y > x + 2

Div. both sides by 2:    y > (1/2)x + 1   (answer)</span>
4 0
4 years ago
What is the value of x in the equation -2/3 x +9= 4/3x -3?
HACTEHA [7]

-2/3x+9=4/3x-3 original problem add 2/3x to both sides

9=6/3x-3 simplify 6/3 to 2 and add 3 to both sides

12=2x  divide both sides by 2

x=6

hope that helps



5 0
4 years ago
jordan made a wooden square box. all sides of the wooden box are 6cm . if he wants to increase the length of all sides by 1 .6cm
LekaFEV [45]
Perimeter = 182.4 cm
Area = 438.976 cm
4 0
4 years ago
Need help asap!!!!!!!!!
tatuchka [14]

Answer:

<h2>-3400</h2>

Step-by-step explanation:

In general, a geometric sequence is given by:

<h3>a,ar,ar^2,⋯,ar^n−1 </h3>

In the sequence 20, - 40 , 80,…

First term, a1 = 20

Common ratio, r = - 40 ÷ 20 = - 2

The nth term is = 9th

Sum of finite geometric series : Sn= ( a1 - a1r^n ) / ( 1 - r)

S9 = ( 20 - 20 x (- 2)^9 ) / ( 1 - ( - 2) )

S9 = ( 20 - 20 x - 512 ) / ( 1 + 2 )

S9 = ( 20 - 10240<em> </em>) / ( 3 )

S9 = ( - 10220 ) / 3

<h3>S9 = - 3400 <u>Answer</u> </h3><h2>Hope it's help you.... ^_^❤️</h2>

5 0
3 years ago
Read 2 more answers
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