Problems 1 - 6, evaluate each expression for the given values of the variables.
1 5a + 4b - 3a - 7b+ 4a; a = -3 and b = 4
2. c6-1)-cm; b=5 and c= -2
3. 5x – 2xy + 3y: x=-5 and y=-2
4. -K -(7k - 4m); k=-2 and m = 4
5. 3(6x + 5y) - 2y: x = 3 and y=-3
6. 5(3m – n) – 4(2m- n); m=-8 and n=-11
Problems 7 - 14, combine like terms and simplify completely

Answer:

It’s 48 just do 8*6=48 I don’t know how I got that answer but Ik it’s right lol

The volume of a rectangular prism is the product of the prism's dimension (i.e. length, width and height). The dimension of the rectangular prism are:

[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]

Given that:

[tex]Volume = (18x^4 + 15x^3 - 12x^2)[/tex]

First, we factor out [tex]3x^2[/tex]

[tex]Volume = 3x^2 \times (6x^2 + 5x - 4)[/tex]

Expand

[tex]Volume = 3x^2 \times (6x^2 + 8x-3x - 4)[/tex]

Factorize

[tex]Volume = 3x^2 \times (2x(3x + 4) -1(3x + 4))[/tex]

Factor out [tex]3x + 4[/tex]

[tex]Volume = 3x^2 \times ((2x -1) (3x + 4))[/tex]

Rewrite as:

[tex]Volume = 3x^2 \times (2x -1) \times (3x + 4)[/tex]

The volume of a rectangular prism is:

[tex]Volume = Length \times Width \times Height[/tex]

So; by comparison:

[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]

Read more about polynomials and volumes at:

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Answer:

não sei nam mano foi mal ai

vei kskksksksk

Step-by-step explanation:

yes they both have the same midpoint of (1,2)

For the midpoint of JK

[tex](\frac{-2+4}{2}, \frac{1+3}{2} )[/tex]

[tex](\frac{2}{2}, \frac{4}{2} )[/tex]

(1,2)

then for LN

[tex](\frac{0+2}{2}, \frac{3+1}{2} )[/tex]

[tex](\frac{2}{2}, \frac{4}{2} )[/tex]

(1,2)

Answer:

DE=6.3

Step-by-step explanation:

triangles are similar so, its sides and angles are comgruent.

side BC=side DE

side BC=6.3

side DE=6.3

Answer:

x=(-5)/2

Step-by-step explanation:

-8×(-2)=-2x+11

16-11=(-2x)

x=(-5)/2

Answer:

D

Step-by-step explanation:

Start with the 9. It goes to your right. It is on the plus x axis.

You are either in quad 1 or quad 4

We need the - 10 to decide which.

+ 10 would go up and that would mean quad 1

- 10 mean going down so you are in Quad 4

Answer:

0.575 ounce

Step-by-step explanation:

Total paint

= Green paint + white paint

= 1.6 ounces + 1.85 ounces

= 3.45 ounces

Paint in each part if divided into 6 parts equally

= 3.45 ounces/6

= 345 ounces/600

= 23/40

= 0.575 ounce

The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

Amount of green paint = 1.6 ounces

Amount of white paint = 1.85 ounces

Total paint = 1.6 + 1.85 = 3.45

The ratio of green paint to total paint = 1.6/3.45 = 0.46

Now, this ratio must be maintained in each part after dividing it into 6 equal parts.

Total paint in each section after dividing = (1.6 + 1.85)/6 = 0.58

With the same ratio,

Green paint / Total paint = 0.46

Green paint / 0.58 = 0.46

Green paint  = 0.27 ounces

White paint = total paint - green paint

White paint = 0.58 - 0.27 = 0.31 ounces

Hence "The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively".

For more information about ratios and proportions,

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Answer:

yes

Step-by-step explanation:

since it can be expressed as a fraction, it is rational

Answer:

9

Step-by-step explanation:

Let the integer be n

According to the text

30 / (n + 1) = 24 / (n-1)

Cross multiply we have

30 (n -1) = 24 (n + 1)

30 n - 30 = 24 n +24

30n -24n = 30 + 24

6n = 54

n = 9.

So the integer is 9.

Answer:

1. n = -3

6n + 4n = -30

10n = -30

n = -3

Answer:

x = 3

Step-by-step explanation:

3х/2+5/2= 7

(3x+5)/2 = 7

3x+5 = 14

3x = 9

x = 3

Answer:

Cant do this problem since there is no x variable. So the answer would be :

f(x) = -22+2

Step-by-step explanation:

Answer

16.50=0.6l+7.50

Step-by-step explanation:

L is for the amount of lillies

Answer:

2.8, 4.6, V7, V17

i hope it help n im sorry i can't explain

Answer:

3x - 13

Step-by-step explanation:

The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.

(x-6) + (x+2) + (x-9)

Group:

x + x + x - 6 + 2 - 9

3x - 13

Answer:

Step-by-step explanation:

Let the greater part = x

Smaller part = 105 - x

2*(greater part) = (3*smaller part) - 15

2*x = 3*(105 -x) - 15

Use distributive property

2x = 3*105 - 3*x - 15    

2x = 315 - 3x - 15

2x =  300 - 3x

Add 3x to both sides

2x +3x = 300

5x = 300

Divide both sides by 5

x = 300/5

x =60

Smaller part = 105 - 60  = 45

Greater part = Rs. 60

Smaller part = Rs. 45

Answer:

I don't know if you can solve it without the table since we have to do the calculations with the table. If you put up the table that should help alot.

Answer:

-0.450 as a fraction is -9/20

Step-by-step explanation:

Since there 3 decimal places, divide it by 1000

-450/1000 and simplify it

Answer:

x = -7

Step-by-step explanation:

Please view the detailed answer in the image attached

Answer:

[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]

Step-by-step explanation:

x = -7

Answer Hi! you would do 15.34- 5.75

so do 75-34 =  41 and then 15- 5 = 10 so your anwser is -10.41 MAKE SURE ITS NEGTIVE

Step-by-step explanation:

x=5

Step-by-step explanation:

x-2=3(x-4)

x-2=3x-12

12-2=3x-x

10=2x

x=10/2

x=5

Answer:

x = 5

Step-by-step explanation:

x - 2 = 3(x - 4)

x - 2 = 3x - 12

-2x - 2 = -12

-2x = -10

x = 5

Answer:

mean = 10.818181...

median = 10

mode = 5

Step-by-step explanation:

first put the numbers in order, smallest to largest

5 5 6 8 9 10 11 13 15 18 19

mean = 5+5+6+8+9+10+11+13+15+18+19 = 119 119÷11= 10.818181818... (round it)

median = 10

mode = 5

Answer:

6 cups

hopes this help you

Answer:

9.14 miles an hour

Step-by-step explanation: