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aleksandr82 [10.1K]
3 years ago
5

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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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

5 0
2 years ago
Read 2 more answers
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>

5 0
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

so

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

8 0
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.

Hope this helps.

8 0
3 years ago
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