Solve for x. Make sure to show all your work.

Answer:

x > -2

Step-by-step explanation:

-3x+2<8

Subtract 2 from each side

-3x+2-2<8-2

-3x<6

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 6/-3

x > -2

Hey there!☺

[tex]Answer:\boxed{x>-2}[/tex]

[tex]Explanation:[/tex]

[tex]-3x+2<8[/tex]

Let's subtract 2 from both sides of the inequality.

[tex]-3x+2-2<8-2\\-3x<6[/tex]

Now divide both sides by -3.

[tex]\frac{-3x}{-3}<\frac{6}{-3}[/tex]

Simplify 6/-3. Also remember that dividing a positive with a negative will give us a negative.

[tex]6/-3=-2[/tex]

[tex]x>-2[/tex]

Hope this helps!

Let, first integer is x.

Therefore, other two are x+1 , x+2 .

Now, mathematical expression of given conditions is :

4x + 3 = 3(x+2)

4x + 3 = 3x + 6

x = 3.

So, the consecutive numbers are 3 , 4 and 5.

Therefore, the middle integer is 4.

Hence, this is the required solution.

Answer:

  The train is not moving

Step-by-step explanation:

The graph does not show the train's motion. It shows the train's position, which is constant. ("Distance" is not a measure of motion. It is a measure of position.)

If the train's position is constant, it is not moving.

Answer:

↔ ORK

Step-by-step explanation:

The intersection of the two planes is the line

Line ORK

↔ ORK

Steps to solve:

x/6 = 8

~Simplify

1/6x = 8

~Multiply 6 to both sides

x = 48

Best of Luck!

Answer:

7/13

Step-by-step explanation:

there are 13 marbles altogether and there is blue marbles the most

Answer:

5.5

Step-by-step explanation:

n-2÷7=2

n-3.5=2

n=2+3.5

n=5.5

Answer:

n = 16  ≅ 2.29

     7

Step-by-step explanation:

n - 2 ÷ 7 = 2

n - 2 = 14

n = 14 + 2

      7      7

n = 16

     7

Answer:

0.64

Step-by-step explanation:

1) Subtract 0.7 from 1.34 and you will get 0.64

Hope this helps!

Answer:

[tex]m=5[/tex]

Step-by-step explanation:

[tex]-3m=-15[/tex]

Divide both sides by -3:

[tex]\frac{-3m}{-3}=\frac{-15}{-3}[/tex]

[tex]m=5[/tex]

Answer:

[tex]m = 5[/tex]

Step-by-step explanation:

Solve for [tex]m[/tex] :

[tex]-3m = -15[/tex]

-Take [tex]-3m[/tex] and divide it on both sides of the equation:

[tex]\frac{-3m}{-3} = \frac{-15}{-3}[/tex]

[tex]m = 5[/tex]

Therefore, the value of [tex]m[/tex] is [tex]5[/tex].

Answer:

20 m

Step-by-step explanation:

The area of a triangle is 120 sq m

The length is 60 m

We are required to find the breadth

Therefore to find the breadth of the traingle the formular below will be applied

Area= length × breadth

120= 60 × breadth

Breadth= 120/60

= 20 m

Hence the breadth of the traingle is 20 m

Answer:

Step-by-step explanation:

7x - qx + 10 = t

7x - qx = t - 10

x(7 - q) = t - 10

x = (t - 10)/(7 - q)

Answer: >500

Step-by-step explanation:

Answer:

9/5

Step-by-step explanation:

2×9×12=216 so216/120 =9/5

Jasmine bought approximately 4 triffids.

We have,

We know that Jasmine bought a total of twenty plants and that she purchased at least one of each type.

Let's assume she bought x triffids.

From the given information, we can determine the number of poison ivy plants and deadly nightshade plants she bought:

Number of poisoned ivy plants = Total plants - (Number of deadly nightshade plants + Number of triffids)

Number of poisoned ivy plants = 20 - (1 + x) = 19 - x

Number of deadly nightshade plants = Total plants - (Number of poisoned ivy plants + Number of triffids)

Number of deadly nightshade plants = 20 - (1 + (19 - x)) = 20 - (20 - x) = x

We can now set up an equation based on the total amount Jasmine spent:

Total cost = (Number of poisoned ivy plants * Cost per poisoned ivy plant) + (Number of deadly nightshade plants * Cost per deadly nightshade plant) + (Number of triffids * Cost per triffid)

£120 = (19 - x) * £2 + x * £9 + x * £12

Simplifying the equation:

£120 = £38 - £2x + £9x + £12x

£120 = £38 + £19x

£82 = £19x

Dividing both sides of the equation by £19:

£82/£19 = x

x ≈ 4.32

Since we can't have a fractional number of plants, we'll round down to the nearest whole number.

Therefore,

Jasmine bought approximately 4 triffids.

Learn more about expressions here:

https://brainly.com/question/3118662

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The complete question:

Jasmine spent a total of £120 on buying three types of plants: poisoned ivy, deadly nightshade, and triffids. Poisoned ivy plants cost £2 each, deadly nightshade plants cost £9 each, and triffids cost £12 each. She bought a total of twenty plants, ensuring that she purchased at least one of each type.

How many triffids did Jasmine buy?

Answer: I believe the answer is 5.

Step-by-step explanation:

f(1) = -(-1)^2 -4(-1)

f(1) = 1^2 + 4

f(1) = 1 + 4

f(1) = 5

Hope this helps!

Answer:

1000x0.1=n

Step-by-step explanation:

first year he had 1000

second year they times the 1000 by .1 because thats ten percent

Answer:

center of rotation

Step-by-step explanation:

Answer:

Step-by-step explanation:because all angles in a triangle add up to 180° 100°+30°=130° 180°-130°=50°

The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A 63-year-old man has rowed around the world in his living room, according to a newspaper story. On a rowing machine that he received for his 50th birthday, he logged 24084 miles.

The number of miles per year is calculated as,

⇒ 24,084 / (63 - 50)

⇒ 24,084 / 13

⇒  1852.61 ≈ 2,000

The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

52

you take 5 ÷ it by 7 the ×it by 595

A ratio is an ordered pair of numbers a and b written as a/b where b is not equal to zero.

if the number of women in the social club is 595 then the number of men in the social club is 425.

A ratio is an ordered pair of numbers a and b written  as:

a / b where b does not equal 0.

A proportion is an equation in which two ratios are equal to each other.

We have,

The ratio of men to women:

= 5:7

= 5/7

Let,

The number of men = 5x

The number of women = 7x

Now,

If the number of women = 595

We have,

7x = 595

Multiplying both sides by 5/7 we get,

5/7 x (7x) = 5/7 x 595

5x = 5/7 x 595

5x = 5 x 85

5x = 425

This means if there are 435 men in the social club if the number of women is 595.

Thus if the number of women in the social club is 595 then the number of men in the social club is 425.

Learn more about ratios and proportions here:

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Answer:

12r^2 +r-7

Step-by-step explanation:

Answer:

Simplified expression is 26y - 18

Step-by-step explanation:

15y - 10 + y(2 + 9) - 8

15y - 10 + 2y + 9y - 8

26y - 18

Answer:

1 1/9

Step-by-step explanation:

5/18 + 5/6

Get a common denominator of 18

5/18 + 5/6 *3/3

5/18 + 15/18

20/18

18/18 + 2/18

1 1/9

Answer:

Your answer is going to be d

Step-by-step explanation:

Add up the angles you already have and subtract that sum from 180

180 - 133 = 47

Answer:

D

Step-by-step explanation:

39+94=133

180-133=47

Using the dot plot, it is found that the correct option is:

Hence:

That is, 12 out of 15, that is, four out of five students have lived in either 1 or 2 different states, hence the third option is correct.

To learn more about dot plot, you can take a look at https://brainly.com/question/24912483

Answer:

x = 2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

2 and 3/16

Step-by-step explanation:

2/8-1/16 is 3/16

5-3=2

Answer:

35/16 2.1875

Subtract.

5 2/8- 3 1/16 = 2.1875 (35/16 as fraction)

That is the answer.