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3 years ago

1. Solve 4x + 5 > 5x – 2 for x.

2 answers:

7 0

The answer should be X < 3 !

Explanation:

You first minus 5 to the other side which gave you -3 . Then you minus the 5x to the other side which gave you -1. After than just need to divide -1 to both side, switch the > and you’ll get the answer! Hope the explanation makes sense.

Leto [7]3 years ago

7 0

Greetings.

By solving an Inequality is almost the same as solving an equation.

We simply move x-term to the same term and the number or rather a constant to the same side.

$4x - 5x > - 2 - 5 \\ - x > - 7$

A quick reminder. If the coefficient for the variable that we want to solve is in negative. For Inequality, moving the negative coefficient for the variable to another side will force the Inequality sign to swap to opposite.

$x < \frac{ - 7}{ - 1} \\ x < 7$

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A relay race is 1 3 4 miles long. Each relay team has 4 runners. If each runner runs the same distance in the race, how far will

Vika [28.1K]

Answer: 7/16

Step-by-step explanation:

Distance of the relay race = 1 3/4 miles

Number of runners for the relay team = 4 runners

Distance to be run by each runner will be:

= Distance of the relay race / Number of runners

= 1 3/4 ÷ 4

= 7/4 ÷ 4

= 7/4 × 1/4

= 7/16

Each runner will run 7/16 miles

6 0

3 years ago

A metallurgist has an alloy with 5

alexira [117]

$\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{5\% alloy}&x&0.05&0.05x\\
\textit{30\% alloy}&y&0.30&0.30y\\
-----&-----&-------&-------\\
mixture&100&0.15&(100)(0.15)
\end{array}$

so hmm notice, we use the decimal format for the percent, namely 15% is just 15/100 and 5% is just 5/100 and so on

whatever the amounts of "x" and "y" are, they must add up to 100 grams
thus x + y = 100

and whatever the concentrated amounts are, they'll add up to (100)(0.15)

thus $\bf \begin{cases}
x+y=100\implies \boxed{y}=100-x\\
0.05x+0.30y=(100)(0.15)\\
----------\\
0.05x+0.30\left( \boxed{100-x} \right)=(100)(0.15)
\end{cases}$

solve for "x", to see how much 5% alloy will be needed

what about "y"? well y = 100 -x

4 0

4 years ago

What’s the answer? All answers please

Doss [256]

Answer:

11. no solution

12. 12, -12.

13. 4/3, -4/3.

14. 6/5, -6/5.

15. 1/2, -1/2.

16. 7/4, -7/4.

Step-by-step explanation:

11. Why it is no solution is when you minus 66 from 3 you get a -63. You then divide 7 by that to get -9. Every time you put a negative inside a square root it will equal no solution every time.

12. 1/2x^2+3=75. I minused the 3 from both sides.

1/2x^2=72. I then times 1/2 to both sides to get 144.

x^2=144. I then square rooted both sides to get 12, -12.

13. 9x^2-16=0. I added 16 to both sides.

9x^2=16. I then divided 9 to both sides.

x^2=16/9. I then square rooted both sides to get 4/3, -4/3.

14. 25x^2+10=46. I minused the 10 from both sides.

25^2=36. I then divided 25 from both sides.

x^2=36/25. I then square rooted both sides to get 6/5, -6/5.

15. 5x^2-1=x^2. I minused x^2 from both sides.

4x^2-1=0. I added 1 to both sides.

4x^2=1. I divided 4 to both sides.

x^2=1/4. I square rooted both sides to get 1/2, -1/2.

16. 16x^2-34=15. I added 34 to both sides.

16x^2=49. I divided 16 to both sides.

x^2=49/16. I square rooted both sides to get 7/4, -7/4.

If you plug those answers into the equations. It should equal what it is equal to.

3 0

3 years ago

Simplify the expression (combine like terms):<br> 6x + 12y + 5 + 2y + 8

ryzh [129]

Answer:

$6x + 14y + 13$

Step-by-step explanation:

$6x + 12y + 5 + 2y + 8 \\(6x ) + (12y + 2y) + (5 + 8) \\ 6x + 14y + 13$

4 0

3 years ago

Read 2 more answers

Is this answer proven to be correct dear sir?

lukranit [14]

Dear sir, we know not what you mean.

4 0

3 years ago