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4 years ago

Solve the inequality

Mathematics

2 answers:

zimovet [89]4 years ago

7 0

Answer:

B. x ≤ 3.

Step-by-step explanation:

7 + x ≤ 10

x ≤ 10 - 7

x ≤ 3.

KonstantinChe [14]4 years ago

6 0

Answer:

Step-by-step explanation:

Given

7 + x ≤ 10 ( subtract 7 from both sides )

x ≤ 3 → B

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a number has the same digit in it's hundreds place and it's hundredths place. How many times greater is the value of the digit i

kondor19780726 [428]

Answer:

3 times

Step-by-step explanation:

8 0

3 years ago

Can someone please help me with this? It’s the last problem I need to turn in a test, I will mark brainliest :(

stiks02 [169]

Answer:

33b - 8

Step-by-step explanation:

You solve for the perimeter like you would for any other shape by adding all the sides

The perimeter is side A + side B + side C.

so it's 9b+8 + 12b-8 + 12b-8

Add all the like terms

9b + 12 b + 12b = 33b

8 - 8 - 8= -8

= 33b -8

3 0

3 years ago

What is the solution to 3(–3x + 9) = −18?

Rus_ich [418]

Answer:

x = 5 (If solved algebraically)

No Solution (If the parentheses are absolute value lines)

Step-by-step explanation:

Result when solving this way: 3|-3x + 9| = -18

1) Divide both sides by 3
|-3x + 9| = -18/3

2) Simplify 18/3 to 6

|-3x + 9| = -6

3) Break down the problem into these 2 equations.

-3x + 9 = -6

- (-3x + 9) = -6

4) Solve the 1st equation: -3x + 9 = -6

- Subtract 1 from both sides.

-3x = -6 - 9

-Simplify -6 - 9 to -15.

-3x = -15

-Divide both sides by -3.

x = -15/-3

- Two negatives make a positive.

x = 15/3

- Simplify 15/3 to 5.

x = 5

6) Solve the 2nd equation: - (-3x+ 9) = -6

1 - Remove parentheses

3x - 9 = -6

2 - Add 9 to both sides

3x = -6 + 9

3 - Simplify -6 + 9 to 3.

3x = 3

- Divide both sides by 3.

x = 1

6) Collect all solutions.

x = 1,5

7) Check solution.

When x = 1, the original equation 3|-3x + 9| = -18 does not hold true.

We will drop x = 1 from the solution set.

8) Check solution.

When x = 5, the original equation 3|-3x + 9| = -18 does not hold true.

We will drop x = 5 from the solution set.

9) Therefore,

No solution exists.

Result when solving algebraically:

Simplifying

3(-3x + 9) = -18

Reorder the terms:

3(9 + -3x) = -18

(9 * 3 + -3x * 3) = -18

(27 + -9x) = -18

Solving

27 + -9x = -18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-27' to each side of the equation.

27 + -27 + -9x = -18 + -27

Combine like terms: 27 + -27 = 0

0 + -9x = -18 + -27

-9x = -18 + -27

Combine like terms: -18 + -27 = -45

-9x = -45

Divide each side by '-9'.

x = 5

Simplifying

x = 5

5 0

2 years ago

Which expression uses the commutative property to make it easier to evaluate

Basile [38]

Let's begin by listing out the given information:

The commutative property states that for addition, the order in which we add numbers does not change their sum & for multiplication, the order in which we multiply does not change their product.

Mathematically expressed as:

$\begin{gathered} x+y+z=y+z+x \\ x\cdot y\cdot z=y\cdot z\cdot x \end{gathered}$

Therefore, the commutative property of this is:

$\begin{gathered} \frac{4}{3}\cdot\frac{1}{5}\cdot18=\frac{4}{3}\cdot18\cdot\frac{1}{5} \\ \Rightarrow\frac{4}{3}\cdot18\cdot\frac{1}{5} \\ \end{gathered}$

Therefore, Option D is the correct answer

7 0

2 years ago

: In Ms. Perron’s class, 40% of the students are boys. There are 10 boys in the class. What is the total number of students in M

ruslelena [56]

<h3>Total number of students in Ms. Perron’s class is 25</h3>

<em><u>Solution:</u></em>

In Ms. Perron’s class, 40% of the students are boys

There are 10 boys in the class

Let "x" be the total number of students in Perron class

From given,

40 % of total students are boys

Therefore,

40 % of x = 10

$\frac{40}{100} \times x = 10\\\\40x = 1000\\\\x = 25$

Thus total number of students in Ms. Perron’s class is 25

7 0

3 years ago

Solve the inequality ​

Solve the inequality