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3 years ago

13-(x+5)=4x-2 what is x?

1 answer:

6 0

First simplify-
13-(x+5)=4x-2
13-x+5=4x-2
18-x=4x-2
Then isolate the variable-
20=5x
And last, divide both sides by 5 to get just x (not 5 x)-
x=4

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Find two consecutive even numbers such that the difference of one-half the larger and two-fifths the smaller is equal to 38

expeople1 [14]

EXPLANATION

The consecutive even numbers are
$370 \: and \: 372$

EXPLANATION

Let
$x$
be the first even number then, the next even number will be,

$x + 2$

The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,

$\frac{1}{2} (x + 2) - \frac{2}{5} x = 38$

We multiply through with an LCM of 10 to get,

$10 \times \frac{1}{2} (x + 2) - 10 \times \frac{2}{5} x = 38 \times 10$

This simplifies to,

$5(x + 2) - 4x = 380$

We expand the brackets to get,

$5x + 10 - 4x = 380$

We group like terms to get,

$5x - 4x = 380 - 10$

This simplifies to
$x = 370$

Therefore the next even number is is
$372$

6 0

3 years ago

What is the significance of the point of intersection of a pair of simultaneous equations

Alex777 [14]

Answer:

The point of intersection gives the solution set(s) of the associated system.

Step-by-step explanation:

If we have a pair of simultaneous equations in 2 variables in x and y, then the point of intersection is the ordered pair (x,y).

This could be a unique intersection, only one point or infinitely many intersection.

This gives us the solution of the simultaneous equations.

Therefore the significance of the point of intersection of a pair of simultaneous equations is that, it gives us the solution set(s) of the associated system.

7 0

3 years ago

Dora goes to a store and buys a phone originally priced at $45. The store is running a discount of 18%. What is the price of the

Alenkinab [10]

Answer: 8.1 $

Step-by-step explanation: 18 percent of 45 is 8.1 ez math hope this helps.

3 0

3 years ago

HELP ME OUT PLEASE!!!!!!!

masha68 [24]

Answer:

option C is correct.

according to me..

hope it helpful for you.

3 0

3 years ago

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at miles 90 per

algol [13]

So the eastbound train travels at 90 miles per hour in the complete opposite direction to the westbound equivalent, which travels at 80 miles per hour. Therefore, per hour, they get 170 miles away from each other. Since we are working out how long it would take for them to be 204 miles apart:

204 / 170 = 1.2 Hours, or 1 hour and 12 minutes.

Hope I helped!

8 0

3 years ago