Solve for X

[tex]\frac{2x+9}{5} \leq \frac{7x-5}{6}[/tex]

Give answer as an improper fraction in its simplest form

Answer:

[tex]\frac{15a- 8}{14} = x[/tex]

Step-by-step explanation:

Step 1 - Divide both sides of the equation by 7:

[tex]5(6a + 1) = 7(4x + 3)\\[/tex]

[tex]\frac{5(6a + 1)}{7} = \frac{7(4x + 3)}{7} \\\\\frac{5(6a + 1)}{7} = 4x + 3[/tex]

Step 2 - Subtract 3 from both sides to isolate the 4x:

[tex]\frac{5(6a + 1)}{7} - 3 = 4x + 3 - 3\\\frac{5(6a + 1)}{7} - 3 = 4x[/tex]

Step 3 - Expand equation:

[tex]\frac{5(6a + 1)}{7} - 3 = 4x \\\\\frac{30a + 5}{7} - 3 = 4x[/tex]

Step 4 - Translate -3 into a fraction and add it:

[tex]\frac{30a + 5)}{7} - 3 = 4x\\\frac{30a + 5 + (7 * -3)}{7} = 4x\\\frac{30a + 5 + (-21)}{7} = 4x\\[/tex]

[tex]\frac{30a - 16}{7} = 4x[/tex]

Step 5 - Divide both sides of the equation by 4:

[tex]\frac{\frac{30a - 16}{7}}{4} = \frac{4x}{4}[/tex]

Multiply the two fractions together to simplify:

[tex]\frac{30a - 16}{4 * 7} = \frac{4x}{4}[/tex]

[tex]\frac{30a - 16}{28} = x[/tex]

Step 6 - Simplify by dividing the fraction by 2:

[tex]\frac{(30a \div 2)- ( 16 \div 2)}{28 \div 2} = x[/tex]

[tex]\frac{15a- 8}{14} = x[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

To find out if a point (x, y) is on the graph of a line, we plug in the values and see if we get a true statement, such as 10 = 10.

Answer:

2) Both are decreasing

5) Function I has a greater y-intercept than function II

Step-by-step explanation:

     [] They both have negative unit rates / slope (m is the slope in y = mx + b)

     [] -2 is larger than -6, so function I has a greater y-intercept than function II (b is the slope in y = mx + b)

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 3, 7 ] , then

f(b) = f(7 ) = - 7² + 6(7) + 17 = - 49 + 42 + 17 = 10

f(a) = f(- 3) = - (- 3)² + 6(- 3) + 17 = - 9 - 18 + 17 = - 10

average rate of change = [tex]\frac{10-(-10)}{7-(-3)}[/tex] = [tex]\frac{10+10}{7+3}[/tex] = [tex]\frac{20}{10}[/tex] = 2

Answer:

61 miles

does this help??

Step-by-step explanation:

Answer:

The answer is C. Yes, Abc= Adc

Answer:

Yes, ABC is congruent to CDA by SSS

Your answer is correct; and here's why:

side AB corresponds to side CD.

and side BC corresponds to DA

So ABC = CDA.. and of course they also share AC which makes it congruent by side side side congruency.

Step-by-step explanation:

Answer:

x=u/k

Step-by-step explanation:

To get x, you would divide by k. Because its x times k. The oppisite is division. This gets you u/k=x

x is equal to u divided by k.

x=u/k

Answer:

It is D

Step-by-step explanation:

The equation of the horizontal asymptote is  y = − 4  .Horizontal Asymptote:  y = - 4

Answer:

240

Step-by-step explanation:

Answer:

last option is correct

...................................

Answer: ≈ 26 lb

Step-by-step explanation:

11,800 grams x [tex]\frac{1 kilograms}{1000 grams}[/tex] x [tex]\frac{1 pound}{0.45kilograms}[/tex] ≈ 26 lb

Step-by-step explanation:

p^m × p^n .....since the base is the same, add the powers

p^(m + n)

p^m + n

Answer:

Conservative. Replication produces one helix made entirely of old DNA and one helix made entirely of new DNA.

Semi-conservative. Replication produces two helices that contain one old and one new DNA strand.

Dispersive.

Step-by-step explanation:

Replication is the process by which a double-stranded DNA molecule is copied to produce two identical DNA molecules. DNA replication is one of the most basic processes that occurs within a cell.

Step-by-step explanation:

Since,

[tex]60\%25 = 15[/tex]

Another equation that equals 15 is

[tex]25 \times 0.6 = 15[/tex]

Answer:

i think 222 for eatch side

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

7x-3=18

7x=18+3

7x=21

x=3

Answer:

She has 9 left

Step-by-step explanation:

15 - 6 = 9

Hope this helps! Brainliest would be appreciated!

Answer:

x <= -42.5

Step-by-step explanation:

65 - 2x >= 150

-2x >= 150 - 65

-2x >= 85

2x <= -85

x <= -85/2

x <= -42.5

Answer:

18 000

Step-by-step explanation:

One kg is 1000 grams.  18 kg are 18 x 1000 = 18 0000 grams.

Answer:

the would be m=4

Step-by-step explanation:

Answer:

6 students

Step-by-step explanation:

Let the number of notebooks be $x$ and the number of students be $y.$

If there are 5 notebooks per student, we have:

$x-5y=7$

Simliairly, we have 7 notebooks per person, which is:

$x-7y=-5$

Then, using system of equations, we can add multiply the first equation by $-1$ and then add.

We would have:

$-1(x-7y=-5)=-x+7y=5$

Then, adding gives us:

$2y=12$

$y=6$

There are 6 students in the class.

Let x represent the number of students that are there in the class.

The teacher her gives his students 5 notebooks each, and still has 7 notebooks left.

The number of note books = 5x + 7    (1)

The teacher her gives his students 7 notebooks each, and was 5 notebooks short.

The number of note books = 7x - 5   (2)

Therefore equating equations 1 and 2:

5x + 7 = 7x - 5

7x - 5x = 7 + 5

2x = 12

x = 6

There are 6 students in the class.

Find out more at: https://brainly.com/question/24169758

[tex]\sf \longmapsto45 - 2x = 75 - 3x[/tex]

[tex]\sf \longmapsto45+−2x=75+−3x[/tex]

[tex]\sf \longmapsto−2x+45=−3x+75[/tex]

[tex]\sf \longmapsto \: −2x+45+3x=−3x+75+3x[/tex]

[tex]\sf \longmapsto \: x+45=75[/tex]

[tex]\sf \longmapsto \: x+45−45=75−45[/tex]

[tex]\sf \longmapsto \: x=30[/tex]

[tex] \boxed{\sf 30}[/tex]

Step-by-step explanation:

t=4v+3

t-3=4v

(t-3)/4=v

hope this helps you.

His balance is $2,686.00

$2,000.00 + $1,000.00 = $3,000.00 + $450.00 = $3,450.00

$3,450.00 - (($275.00 + $40.00) + (($47.00 + $92.00) + ($101.00 + $209.00)) = $2,686.00

Answer:

2.5 hours

Step-by-step explanation:

time = distance / speed

t = 80 / 32

t = 2.5 hours

Answer:

24 ?

Step-by-step explanation:

I may be wrong but I believe the answer is 24 since she lost half of her CDs a week later. The number 6 is not important to the word problem as the only information we need in the amount she has left and the amount she lost. I may be wrong so please check the work again?

Answer:

18 CDs

Step-by-step explanation:

To find how many she started with, It says she lost half, meaning she had must have had 24. Because 12 is half of 12. If she lost half of 24, she would have 12 left. Before she bought 24, she had 6 less, because she bought meaning plus, 6. But to get the beggining, you do the oppisite, which is minus 6. So, 24-6 to get 18.

To make sure we are correct plug in 18. She starts out with 18. She buys, 6. So plus 6. 18+6 to get 24. But she then a week later lost half, leaving her with 12 CDs. By seeing this, we can tell, she did in fact, have 18 CDs to start out.

P.S wow she must really be dum b to lose an entire an entire 12 CDs in a couple hours.

Answer:

right right

Step-by-step explanation:

Answer: The answer is 4

Step-by-step explanation:  2 ( g + 5 ) − 2 ( g + 3 ) = 2 ( g + 5 ) − 2 ( g + 3 )

= 2g + 10 - 2g - 6

= 2g -2g + 10 - 6

= 0 + 4

= 4

Hope this helps!