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3 years ago

What is the solution for this inequality? -10x ≤ 40 A. x ≤ -4 B. x ≤ 4 C. x ≥ -4 D. x ≥ 4

Mathematics

2 answers:

inessss [21]3 years ago

6 0

Answer:

C. x ≥ -4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

-10x ≤ 40

Step 2: Solve for x

[Division Property of Equality] Divide -10 on both sides: x ≥ -4

ANEK [815]3 years ago

3 0

Answer:

C. x ≥ -4

Step-by-step explanation:

To solve this inequality isolate the variable. Do this by using the properties of equality, specifically the division property. So, divide both sides by -10. This equals, x ≤ -4. However, whenever an inequality is divided or multiplied by a negative number the sign must be flipped. Therefore, the final answer is x ≥ -4.

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3 years ago

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3 years ago

Write the following sentence into an expression using x as your variable: Myrna and Tom collect stamps. Tom has four more than h

balandron [24]

Answer: f(x) = x/2 + 4.

where f(x) is the number of stamps that Tom has, and x is the number of stamps that Myrna has.

Step-by-step explanation:

The statement is:

"Tom has four more than half the stamps that Myrna has"

For how is written, we can model the number of stamps that Tom has as a function f(x).

f(x) represents the number of stamps that Tom has, and x is the number of stamps that Myrna has.

Then:

"four more than a number" is written as:

N + 4 (where N is the number)

"Half the stamps that Myrna has" is written as:

x/2.

Then the whole statement can be modeled as:

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3 years ago

Please help fast! Rosa's friend Jake claims that he can read minds. To test Jake's abilities, Rosa chooses 3 different numbers

grigory [225]

Jake's guesses are illustrations of probabilities.

The probability that Jake's guesses are correct is 1/720

The sample size is:

$\mathbf{n = 10}$ --- 10 different numbers

The probability that Jake's guesses are correct is as follows:

1st guess = 1/10
2nd guess = 1/9
3rd guess = 1/8

So, the required probability is:

$\mathbf{Pr = \frac{1}{10} \times \frac 19 \times \frac 18}$

$\mathbf{Pr = \frac{1}{720} }$

Hence, the probability that Jake's guesses are correct is 1/720