All categories

3 years ago

Solve this inequality C - 2.5 less or equal to 2.5

Mathematics

1 answer:

nlexa [21]3 years ago

4 0

Add 2.5 to each side
C -2.5 +2.5 =< 2.5+2.5
C=< 5

=< means less or equal

You might be interested in

Use properties to rewrite the given equation. Which equations have the same solution as 3/5x +2/3 + x = 1/2– 1/5x? Check all tha

vodomira [7]

we have

$\frac{3}{5}x+ \frac{2}{3}+x=\frac{1}{2}-\frac{1}{5}x$

Combine like terms in both sides

$(\frac{3}{5}x+ x)+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

we know that

$(\frac{3}{5}x+ x)=(\frac{3}{5}x+ \frac{5}{5}x)=\frac{8}{5}x$

substitute in the expression above

$\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$ -----> equation A

Multiply equation A by $5*3*2=30$ both sides

$30*(\frac{8}{5}x+\frac{2}{3})=30*(\frac{1}{2}-\frac{1}{5}x)$

$48x+20=15-6x$ ---------> equation B

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$48x+6x=15-20$

$54x=-5$ ---------> equation C

Solve for x

$x=-\frac{5}{54} =-0.09$

We are going to proceed to verify each case to determine the solution.

Case a) $\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

the case a) is equal to the equation A

the case a) have the same solution that the given equation

Case b) $18x+20+30x=15-6x$

Combine like terms in left side

$(18x+30x)+20=15-6x$

$(48x)+20=15-6x$

the case b) is equal to the equation B

the case b) have the same solution that the given equation

Case c) $18x+20+x=15-6x$

Combine like terms in left side

$(18x+x)+20=15-6x$

$(19x)+20=15-6x$

$19x+6x=15-20\\25x=-5\\x=-0.20$

$-0.20\neq -0.09$

therefore

the case c) not have the same solution that the given equation

Case d) $24x+30x=-5$

Combine like terms in left side

$54x=-5$

the case d) is equal to the equation C

the case d) have the same solution that the given equation

Case e) $12x+30x=-5$

Combine like terms in left side

$42x=-5$

$x=-5/42=-0.12$

$-0.12\neq -0.09$

therefore

the case e) not have the same solution that the given equation

therefore

the answer is

case a) $\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

case b) $18x+20+30x=15-6x$

case d) $24x+30x=-5$

7 0

4 years ago

Read 2 more answers

You drive in a car for 4.5 hour at an average speed 70 miles per hour. How far did you go?

Natalija [7]

Answer:

315 hours

Step-by-step explanation:

Good luck

7 0

3 years ago

Solve and show solving steps 12x3-42+20

stealth61 [152]

Answer: 56

Step-by-step explanation: pemdas

12×3 =36

36+20=56

56-42= 14

answer is: 14

3 0

3 years ago

Read 2 more answers

Which of the following equations expresses the relationship between x and y in the table below ?

Aleksandr-060686 [28]

The answer is y = 3x + 5
explanation : if you substitute the x in the equation for 0 and the y for 5 then solve/simplify. if you’re still not sure you can try the next one and substitute x for 2 and y for 11. you’ll see that y and x will equal each other. hope this helps:)

3 0

3 years ago

Read 2 more answers

Explain the relationship between the legs and the hypotenuse of a right triangle.

KATRIN_1 [288]

Answer:

Step-by-step explanation:

a right triangle and hypotenuse consist of two legs. the two legs meet at a 90 degrees angle and the hypotenuse is the longest side of the right triangle

4 0

4 years ago