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3 years ago

3x + 5 = 12 - 7x Please someone answer

Mathematics

1 answer:

jonny [76]3 years ago

7 0

Answer:

x=7/10

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+5=12−7x

Step 1: Simplify both sides of the equation.

3x+5=12−7x

3x+5=12+−7x

3x+5=−7x+12

Step 2: Add 7x to both sides.

3x+5+7x=−7x+12+7x

10x+5=12

Step 3: Subtract 5 from both sides.

10x+5−5=12−5

10x=7

Step 4: Divide both sides by 10.

10x10=7/10

x=7/10

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Which are sums of perfect cubes? Check all that apply. 8x6 27 x9 1 81x3 16x6 x6 x3 27x9 x12 9x3 27x9.

Black_prince [1.1K]

The equations which are sums of perfect cubes are as follows;

$\rm 8x^6+27x^9+1$

$\rm x^6+x^3$

$\rm 27x^9+x^{12}$

<h3>Perfect cubes;</h3>

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which are sums of perfect cubes?

1. The given equation is $\rm 8x^6+27x^9+1$ .

The equation can be written as;

$\rm 8x^6+27x^9+1\\\\2^3(x^2)^3+3^3(x^3)^3+1^3$

All the terms in the expression are can be represented as perfect cubes.

2. The given equation is $\rm 81x^3+16x^6$ .

The equation can be written as;

$\rm 81x^3+16x^6\\\\9^2x^3+4^2(x^2)3$

In this, all the terms are not perfect cubes, some of them are squares.

3. The given equation is $\rm x^6+x^3$ .

The equation can be written as;

$\rm x^6+x^3\\\\(x^2)^3+x^3$

All the terms in the expression are perfect cubes.

4. The given equation is $\rm 27x^9+x^{12}$ .

The equation can be written as;

$\rm 27x^9+x^{12}\\\\3^3(x^3)^3+(x^4)^3$

All the terms in the expression are perfect cubes.

5. The given equation is $\rm 9x^3+27x^9$ .

The equation can be written as;

$\rm 9x^3+27x^9\\\\3^2x^3+3^3(x^3)^3$

In this, all the terms are not perfect cubes, some of them are squares too.

To know more about perfect cubes click the link given below.

brainly.com/question/4701925

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2 years ago

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Which of the following is a factor of<br> x2 - 6x + 8

hram777 [196]

Answer:

(x - 4)(x - 2)

x = 4

x = 2

Step-by-step explanation:

x² - 6x + 8

= (x - 4)(x - 2)

x - 4

x = 4

x - 2

x = 2

7 0

3 years ago

Carmen's golf score is 6 strokes less than Linda's. Their two scores total 156. What is each girls score?

DochEvi [55]

Answer:

Carmen's score is 75 strokes.

Linda's score is 81 strokes.

Step-by-step explanation:

Let the score of Linda be "x".

<em>It is given that Carmen's golf score is 6 strokes less than Linda's.</em>

Thus, Carmen's score is (x-6).

The total score of the girls is

= $x + (x-6) = 2x-6$

The total score is given to be 156.

Thus, the equation becomes,

$2x-6 = 156$

$2x= 162$

$x = 81$

<em>Thus Linda's score is 81 and Carmen's score is (156-81) 75.</em>

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3 years ago

Kaya's family spends $105 to rent a boat for 7 days. The total cost, c, of the boat rental is proportional to the number of days

Elza [17]

Answer:

$c=15d$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

c ----> the total cost of the boat rental

d ---> is the number of days, the family rents the boat

we know that

Kaya's family spends $105 to rent a boat for 7 days

For d=7 days, c=$105

Find the value of the constant of proportionality k

$k=\frac{c}{d}$

substitute the given values

$k=\frac{105}{7}=\$15\ per\ day$

therefore

The linear direct equation is equal to

$c=15d$

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3 years ago

Find the Area. Use 3.14 for Pi. Label your answer with ft2.

aivan3 [116]

Answer:

133.04ft²

Step-by-step explanation:

Area of a circle is:

$A=\pi r^2\\\\r - \text{Radius.}$

We are given the diameter. The radius of the given circle is 6. Note that the diameter is twice the radius.

Using 3.14 for pi:

$A=3.14(6)^2\\\\A=3.14*36\\\\A\text{ } $$\approx$$\text{ }113.04$

The area is appropriately 133.04ft².

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