Item 5
Graph y = −x/3 + 4.

The solution of the inequality  5(x + 1) - 10 ≥ 2x + 3(2x + 2) is x ≤ - 16/3.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Inequality is 5(x + 1) - 10 ≥ 2x + 3(2x + 2).

5x + 5 - 10 ≥ 2x + 6x + 6.

5x + 5 - 10 ≥ 8x + 6.

5x - 8x ≥ 10 + 6.

- 3x ≥ 16.

3x ≤ - 16.

x ≤ - 16/3.

learn more about inequalities here :

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Answer:

D

Step-by-step explanation:

The sum to n terms of an arithmetic series is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12, d = 4 and n = 30 , then

[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]

     = 15(24 + 116)

     = 15 × 140

     = 2100 → D

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.

The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows

Sn = n/2 [2a₁ + (n-1)d].

as given in the problem

a₁ =12, d = 4, and n = 30

Sn = 30/2 [2×12 + (30-1)×4]

    = 2100

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.

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Answer:

I dont know But maybe the answer is No

Step-by-step explanation:

0.3 is 30% and if 1/10 is 10% then 2/20 must be 10% because 5% is 1/20

so maybe 3/20 is only 15%

I hope this helps :)

Sorry if it dosent i suck at explaining things ; - ;

Answer:

37

Step-by-step explanation:

5 x 6 = 30

30+7=37

Answer:

37

Step-by-step explanation:

5x + 7

x = 6

All you need to do is substitute the "x" with "6" since that has been given....

5(6) + 7

30 + 7

37

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

y = (5/3)x +3

Step-by-step explanation:

slope intercept form

Y = mx +b form

so we need to solve the given equation for y

1.  5x-3y =-9

2 . 5x -3y +3y = -9 +3y (adding both sides 3y)

3. 5x = -9 +3y

4. 5x +9 = -9 +9 + 3y (adding 9 to bot sides)

5. 5x +9 = 3y

6. (5/3)x + 9/3 = (3y)/3 ( divide both sides by 3 to get y  alone)

so, the final answer will be

y = (5/3)x +3

Answer:

850 bagels in 10 hours.

Step-by-step explanation:

340 divided by 4 is 85. 85 times 10 is 850. So, 850 bagels.

Answer:

24

Step-by-step explanation:

Answer:

About 13.86

Step-by-step explanation:

64 x 3 = 192

[tex]\sqrt{} 192[/tex] = 13.8564064606

If you were asking what [tex]\sqrt{64}[/tex] multiplied by 3 was, that answer would be 24. I read it as if you were asking what [tex]\sqrt{64 x 3}[/tex] is. :)

Answer:

No

Step-by-step explanation:

I think you meant to put 5/12 ad 9/16 but in any case, even if it were 51/2 and 91/6 or anything else, the answer would be no

Answer:

Yes it is

Step-by-step explanation:

4d + 3d = 7d so 7d + 15 would be the expression for both except it would only be 3d + 4d = 7d and 7d + 15 is the same as the first expression that I got from evaluating 4d + (15 + 3d).

______________________________

So your answer [tex]\bold{7d+15=7d+15}[/tex].

______________________________

Answer:

3 sec

Step-by-step explanation:

Answer:

[tex]3[/tex] seconds

Step-by-step explanation:

[tex]90 \div 30 = 3[/tex]

It will take [tex]3[/tex] seconds for the boat the reach its destination.

Everything is rational

Answer:

the rational numbers are 6, 3/4, 1.5, 103, 0.863 so all of them.

Step-by-step explanation:

Any number that can be written, numbers like 2.3373648489 with no pattern or rationality are not rational.

However number like 2.3333 are rational because you can predict the pattern.

Answer:

a. 60 degrees

b. 300 degrees

c. 12π

d. 2π

e. 10π

f. 36π

g. 6π

Answer:

he has 15.06 (15) miles left

Step-by-step explanation:

he still has 5/8 distance left so its just 5/8th of 24.1

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

x-10=y

Step-by-step explanation:

the output (y) is 10 less ( -10) than the input (x)

Answer:

3^12

Step-by-step explanation:

Answer:

2 quadrants

Step-by-step explanation:

If it is 360 it would be 180 times 2 leading you back to where you started so 2 a  point at (x,y) would turn into (-x,-y) when moved 180 degrees

Answer:

The value of x is 72 degrees

Step-by-step explanation:

Answer: 44

Step-by-step explanation:

46 - 24 = 22 (when halved so you need to multiply by 2)

22 * 2 = 44

Answer:

Sample size is 50. to Problem B= 40

Step-by-step explanation:

Answer:

the answer will be

n< 80

Step-by-step explanation:

Answer:

The numbers can be either -8,-7,-6, or 6, 7, 8.

n(n−1)(n+1)=16(n−1+n+n+1)  

⟹n(n2−1)=16×3n  

⟹n(n2−1)n=48nn  

⟹(n2−1)−48=48−48  

⟹n2−49=0  

⟶(n−7)(n+7)=0  

n  can be  7  or  −7 , so the numbers can be either  −8,−7,−6  

Or

6,7,8

Step-by-step explanation:

Answer:

$1841.00

Step-by-step explanation:

2630.00 x .30 = 789.00

2630.00 - 789.00 = 1841.00

Answer:

Step-by-step explanation:

N⁶ · n⁵ · n⁴ ÷ n³ · n² ÷ n

n¹¹ · n⁴ ÷ n³ · n² ÷ n

n¹⁵ ÷ n³ · n² ÷ n

n⁵ · n² ÷ n

n¹⁰ ÷ n

n⁹

Answer:

1

Step-by-step explanation:

because u didnt have 1 plus its counting down on the numbers so i think its 1

Answer: For first blank: GNS

P = N G = P S = R

Answer:

The system of linear equations that could be used to find the length and width of the rectangle will be:

l = 2w + 3 cm  

2w + 2l = 66

Hence, option D is correct.

Step-by-step explanation:

Let the width of the rectangle be = w cm

Given that the length, l, of a rectangle is 3 cm longer than twice the width, w.

Thus, the length of the rectangle be:

l = 2w + 3 cm  

We know that the perimeter of the rectangle is:

P = 2w + 2l

Given that the perimeter of the rectangle = P = 66 cm

so substitute P = 66 in P = 2w + 2l

P = 2w + 2l

66 = 2w + 2l

Therefore, the system of linear equations that could be used to find the length and width of the rectangle will be:

l = 2w + 3 cm  

2w + 2l = 66

Hence, option D is correct.

Answer:

1/4th Cup left

Step-by-step explanation:

1/2 cup is equal to 2/4 cup, so subtract that from 3/4th and you end with 1/4th