Solve the two step inequality 3p+2≥−10

Maria solved the equation. 4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5. What

Mrac [35]

Answer:

1. Distributive property.

2. Combining like terms.

3. Addition property of equality.

4. Division property of equality.

Step-by-step explanation:

- The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ab$

- The Addition property of equality states that:

$If\ a=b\ then\ a+c=b+c$

- The Subtraction property of equality states that:

$If\ a=b\ then\ a-c=b-c$

- The Multiplication property of equality states that:

$If\ a=b\ then\ a*c=b*c$

- The Division property of equality states that:

$If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}$

Given the following equation:

$4(3x-8)-4=24$

We can identify that the methods Maria used to solve it and the order, are:

1. Distributive property:

$(4)(3x)-(4)(8)-4=24\\\\12x-32-4=24$

2. Combining (or adding) like terms:

$12x-36=24$

3. Addition property of equality, because she added 36 to both sides of the equation:

$12x-36+36=24+36\\\\12x=60$

4. Division property of equality, because she divided both sides of the equation by 12:

$\frac{12x}{12}=\frac{60}{12}\\\\x=5$

7 0

3 years ago

Read 2 more answers

I need help plz..No spam

Lilit [14]

Answer:

oytqlrvlhqxtqlxplympxmhmr

6 0

3 years ago

Find AC What Is The Equation To AC?

In-s [12.5K]

Given:

Given that ABC is a right triangle.

The length of AB is 7 units.

The measure of ∠A is 65°

We need to determine the length of AC

Length of AC:

The length of AC can be determined using the trigonometric ratio.

Thus, we have;

$cos \ \theta=\frac{adj}{hyp}$

Where the value of $\theta$ is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.

Substituting the values, we have;

$cos \ 65^{\circ}=\frac{AC}{AB}$

Substituting AB = 7, we have;

$cos \ 65^{\circ}=\frac{AC}{7}$

Multiplying both sides by 7, we get;

$cos \ 65^{\circ} \times 7=AC$

$0.423 \times 7=AC$

$2.961=AC$

Rounding off to the nearest hundredth, we get;

$2.96=AC$

Thus, the length of AC is 2.96 units.

6 0

3 years ago

What is the square root of 144444444453?

ale4655 [162]

Answer:

380058.475044

3 0

3 years ago

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-5(-2b - 1) simplify with steps

Nadusha1986 [10]

-5(-2b-1)
Collect like terms and simplify
(Multiply the number outside the bracket with the ones in the parentheses/bracket)
(-x-)= +
(+x+)= +
(-x+)= -
(+x-)= -
Basically same signs multiplied = +
Different signs multiplied = -
-5(-2b)= 10b
-5(-1)=5
10b+5 is your answer

8 0

3 years ago