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4 years ago

Which number line represents the solution to the inequality 1 + 2x < -7?

Mathematics

1 answer:

alexdok [17]4 years ago

3 0

Answer:

$\boxed {x < -4}$

Step-by-step explanation:

Solve the following inequality:

$1 + 2x < -7$

-Subtract $1$ to both sides:

$1 - 1 + 2x < -7 - 1$

$2x < -8$

-Divide both sides by $2$ :

$\frac{2x}{2} < \frac{-8}{2}$

$\boxed {x < -4}$

The number line:

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0.01 written as a percent then round to the nearest tenth of a percent

Aleks [24]

Answer and step-by-step explanation:

To write it as percent, multiply it with 100, we get:

0.01 * 100 = 1%

Nearest tenth of a percent would be 10%, 20%, 30%, etc.

So as we can see 1% is nearest to 10% so we round it up to 10%

Hope this helped :3

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4 years ago

Write the expression as a single natural logarithm.3In3+3Inc

k0ka [10]

Answer:

$ln(27c^3)$

Step-by-step explanation:

Given: $3ln(3)+3ln(c)$

If there is a coefficient in front of a $log$ or $ln$ , that means it becomes an exponent.

$ln(3^3)+ln(c^3)$

Simplify the exponent.

$ln(27)+ln(c^3)$

When there is addition between two logarithms or natural logarithms, it means they multiply together.

$ln(27c^3)$

3 0

4 years ago

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Which choices are equivalent to the fraction below check all the apply ""24" over 30

user100 [1]

Answer:

c) The reduced form of the given fraction $\frac{24}{30} = \frac{4}{5}$

Step-by-step explanation:

Here, the given expression is "24 over 30".

The given expression is is equivalent to $\frac{24}{30}$

Now by Prime Factorization:

24 = 2 x 2 x 2 x 3

30 = 2 x 3 x 5

⇒ The common factors in 24 and 30 is 2 x 3 = 6

So, $\frac{24}{30} = \frac{2 \times 2 \times 2 \times 2 \times 3}{2 \times 3 \times 5} = \frac{6 \times 4}{6 \times 5} = \frac{4}{5}$

Hence the reduced form of the given fraction $\frac{24}{30} = \frac{4}{5}$

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4 years ago

Which of the following is a possible unit for the volume of a cone?

mash [69]

Possible unit is m³

<u>Step-by-step explanation:</u>

The possible unit for volume of a cone is m³
Volume of a cone = Base area × Height
Here unit for volume will be square units and that of height will be in units. Together, they form cubic units.
In the given options, the only unit that is in cubic form is m³

8 0

3 years ago

Help! Is it parallel, perpendicular, or neither? Thanks *ignore handwriting*

Digiron [165]

These lines are perpendicular!
y = x
y = -x–2
The slopes are reciprocals of each other, so they are perpendicular.

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3 years ago

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