How is rewriting literal equations useful when solving problems

Answer:

  real numbers, including the boundary lines

Step-by-step explanation:

The inequality symbols in this system both include the "or equal to" case, so the boundary lines of the "shaded area" are part of the solution set.

Ordinarily, weight is a continuous variable, so we presume the weights of almonds and cashews may be any real number. The problem statement gives no clarity in that regard, so it is entirely possible that the given nuts will only be delivered in packages with integer weights.

Based on our presumption, the solution set is best described as below.

_____

Additional comments

Each inequality gives rise to a "shaded region," as shown in the second attachment. The solution set will be the doubly-shaded region, limited to the first quadrant. (Quantities of nuts cannot be negative.) Strictly speaking, the answer choices are all incorrect.

Answer:

0.275

Step-by-step explanation:

Hey there! I'm happy to help!

Sum means to add. Let's call our number n.

n+6

We multiply this whole thing by 5.

5(n+6)

And this is 48.

5(n+6)=48

Have a wonderful day! :D

Answer:45 dollars

Step-by-step explanation:

Jk just trying to get brainly points

Answer:

3x+10

Step-by-step explanation:

Plug n(x) into the x of the m(x) and the answer is m(n(x)).

m(x) = 3x - 2

n(x) = x + 4

Plug in n(x) to m(x) as shown here

m(n(x)) = 3(x + 4) - 2

distribute the 3

m(n(x)) = 3x + 12 - 2

simplify

m(n(x))= 3x + 10

Let me know if this answer helps

Answer:

-22

Step-by-step explanation:

I'm assuming you don't need an explanation because this is just a short answer question.

Hope this helps! :)

Given:

Aisha has 3 pizzas.

She is serving each person at a party 1/4 of a pizza.

To find:

The number of people she can serve at the party.

Solution:

Let the number of people be x.

Number of pizzas is 3. So, each person get [tex]\dfrac{3}{x}[/tex] part of pizza.

It is given that each person get 1/4 of a pizza.

[tex]\dfrac{1}{4}=\dfrac{3}{x}[/tex]

Using cross multiplication, we get

[tex]1\times x=3\times 4[/tex]

[tex]x=12[/tex]

Therefore, the number of persons in 12.

Now, divide the number line in four equal parts between each pair of consecutive integers.

Then, count the marked points from 0 to 3 excluding 0. These points represent number of persons.

Answer:

x=-4.1

Step-by-step explanation:

Multiply 5 by −2.

−10(x+3)=11

Divide each term by −10 and simplify.

x+3=−11/10

Move all terms not containing x to the right side of the equation.

x=−41/10

The result can be shown in multiple forms.

Exact Form:

x=−41/10

Decimal Form:

x=−4.1

Mixed Number Form:

x=−4 1/10

Answer:B 55

Step-by-step explanation:

Answer:

[tex]x^{4}+28x^3+294x^2+1372x+2401[/tex]

Step-by-step explanation:

[tex](x+7)^{2} (x+7)^2 = (x+ 7)(x+7)(x+7)(x+7)\\(x^2+7x+7x+49)(x^2+7x+7x+49)=(x^2+14x+49)(x^2+14x+49)\\x^4+14x^3+49x^2+14x^3+196x^2+686x+49x^2+686x+2401\\x^4+28x^3+294x^2+1372x+2401[/tex]

Step-by-step explanation:

f(x) = x³ - ax² - 13x + b.

f(1) = 1³ - a(1)² - 13(1) + b = 0

=> 1 - a - 13 + b = 0, b - a - 12 = 0.

f(-3) = (-3)³ - a(-3)² - 13(-3) + b = 0

=> - 27 - 9a + 39 + b = 0, 12 - 9a + b = 0.

Therefore, b - a - 12 = 12 - 9a + b. 8a = 24, a = 3.

=> b - (3) - 12 = 0, b = 15.

Answer:

he would have to use all of it and then $16 more to make both plans cost the same. I think he should go with US Cellular

Step-by-step explanation:

just because

Answer:

- 439

Step-by-step explanation:

--------------------------

Answer:

1280

106

Step-by-step explanation:

Answer:

1.000

Step-by-step explanation:

Answer:

C is your answer

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

For the equilibrium position of the scale,

Weights on both the sides of the scale should be equal.

Weights on left side of the scale = Weights on the right side

Weights denoting X + Weights denoting (-1) = Weights denoting (X) + Weights denoting (1)

5(X) + 6(-1) = 3(X) + 4(1)

5X - 6 = 3X + 4

5X - 3x = 6 + 4

2X = 10

X = 5

Therefore, For X = 5, scale will be in the balanced position.

Answer:

x = 10

Step-by-step explanation:

[tex] \frac{(x + 4)}{2} = 7 \\ = > x + 4 = 7 \times 2 \\ = > x + 4 = 14 \\ = > x = 14 - 4 \\ = > x = 10[/tex]

.°. x = 10

Answer:

Given that

2+x/2=7

x/2=7-3

x/2=4

x=4/2

x=2

Answer:

-35

Step-by-step explanation:

-5 (x + 2) + 5 (x -5)

Expand:

= -5x - 10 + 5 (x - 5)

Expand once more:

= -5x - 10 + 5x - 25

Simplify:

-35

Answer:

x =5

Step-by-step explanation:

Using the formula for calculating the distance between two points

D = √(x2-x1)²+(y2-y1)²

Given the points A(2, x) , B(x, 8) and AB = 3√2

On substituting the given values into the formula;

AB = √(x-2)²+(8-x)²

3√2= √(x-2)²+(8-x)²

square both sides

(3√2)²= (x-2)²+(8-x)²

18 = (x-2)²+(8-x)²

expand

18 = x²-4x+4+64-16x+x²

18 = 2x²-20x+68

2x²-20x+68-18 = 0

2x²-20x+50 = 0

x²-10x+25 = 0

Factorize

x²-5x-5x+16 = 0

x(x-5)-5(x-5) = 0

(x-5)(x-5) = 0

x-5 = 0 an x-5 = 0

x = 5

15= 1/2 + 3/2x + 10

X=3

It is A

Because if it is a & negative it will work either way if you try all of them.

Answer:

The answer would be C.

Answer:10

Step-by-step explanation:

Answer:

y = 31°

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

Answer:

- 180

Step-by-step explanation:

[tex] - 6 \times 1 \times 30[/tex]

Multiply :

[tex] - 6 \times 1 = - 6 \\ - 6 \times 30 = - 180[/tex]

Answer:

h = (A - 9)/6

Step-by-step explanation:

Step 1: Define

A = b² + 2bh

b = 3

Step 2: Substitute

A = (3)² + 2(3)h

Step 3: Evaluate and solve for h

A = 9 + 6h

A - 9 = 6h

(A - 9)/6 = h

Answer: 13 hours

Step-by-step explanation:

Money earned per hour = $11.00

Amount he plans to earn = $143. 00

Number of hours he will have to work to reach his goal = 143.00/11.00 = 13.

Therefore, Bryon will have to work of 13 hours to earn $ 143.00

Answer:

13 hours!

Step-by-step explanation:

All I did was divide $143.00 by $11.00 and got 13!

Or you could multiply $11.00 by 13 to get $143.00

They give you the same answer!! :D

Answer:

Step-by-step explanation:

3w + 12 + 2w = 27

5w + 12 = 27

5w = 15

w= 3