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FrozenT [24]
3 years ago
5

Solve 3(5x-4) < 15x

Mathematics
2 answers:
Vaselesa [24]3 years ago
7 0
The answer is D. All real numbers
ollegr [7]3 years ago
5 0

Answer:

All real numbers

Step-by-step explanation:

3(5x - 4) < 15x

~Distribute left side

15x - 12 < 15x

~Subtract 15x to both sides

-12 < 0

Best of Luck!

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Could someone please help with this?
saveliy_v [14]

9514 1404 393

Answer:

  5.  88.0°

  6.  13.0°

  7.  52.4°

  8.  117.8°

Step-by-step explanation:

For angle A between sides b and c, the law of cosines formula can be solved to find the angle as ...

  A = arccos((b² +c² -a²)/(2bc))

When calculations are repetitive, I find a spreadsheet useful. It doesn't mind doing the same thing over and over, and it usually makes fewer mistakes.

Here, the side opposite x° is put in column 'a', so angle A is the value of x. The order of the other two sides is irrelevant.

__

<em>Additional comment</em>

The spreadsheet ACOS function returns the angle in radians. The DEGREES function must be used to convert it to degrees. The formula for the first problem is shown here:

  =degrees(ACOS((C3^2+D3^2-B3^2)/(2*C3*D3)))

As you can probably tell from the formula, side 'a' is listed in column B of the spreadsheet.

The spreadsheet rounds the results. This means the angle total is sometimes 179.9 and sometimes 180.1 when we expect the sum of angles to be 180.0.

5 0
3 years ago
A particular fruit's weights are normally distributed, with a mean of 405 grams and a standard deviation of 19 grams. If a fruit
cluponka [151]

Answer:

413.126

Step-by-step explanation:

Given a normal distribution :

Mean (m) = 405

Standard deviation (s) = 19

Weight of fruit will be greater than how many grams (x) if picked 17% of the time:

P(Z > x) = 0.17 ;

The Zscore for P(Z > x) = 0.17 equals 0.954 (Z probability calculator)

Zscore = (x - m) / s

0.954 = (x - 405) / 19

0.954 * 19 = x - 405

18.126 = x - 405

x = 18.126 + 405

x = 423.126

Weight will be greater than 423.126

8 0
3 years ago
Solve for x: 1/4(4x+15)=24
mixas84 [53]
T's solve your equation step-by-step.<span><span><span>14</span><span>(<span><span>4x</span>+15</span>)</span></span>=24</span>Step 1: Simplify both sides of the equation.<span><span><span>14</span><span>(<span><span>4x</span>+15</span>)</span></span>=24</span><span><span><span><span>(<span>14</span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>14</span>)</span><span>(15)</span></span></span>=24</span>(Distribute)<span><span>x+<span>15/4</span></span>=24</span>Step 2: Subtract 15/4 from both sides.<span><span><span>x+<span>15/4</span></span>−<span>15/4</span></span>=<span>24−<span>154</span></span></span><span>x=<span>81/<span>4</span></span></span>
8 0
3 years ago
Which of the following statements are true of the parabola shown?
Vesna [10]

<u>True statements are:</u>

  • It has a directrix of x = - 4.
  • It has a focus at (4, 0).

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

We have the following statements to check on whether it's right or wrong:

<u>1. It has a directrix of x = -4:</u>

According to figure , parabola directrix is at -4 i.e. at x = -4 , Therefore this statement is true!

<u>2. It opens to the left:</u>

In figure, Parabola opens to right not left , Therefore this statement is wrong!

<u>3. It has a vertex at the origin:</u>

Vertex of Parabola is at what points not shown in figure. Therefore this statement cannot be confirmed as true.

<u>4. The axis of symmetry is the y-axis:</u>

Axis of symmetry for above parabola is x-axis as it cuts parabola into two equal halves , y-axis doesn't do this ! Therefore this statement is wrong!

<u>5. It has a focus at (4, 0):</u>

Parabola focus is at F(4,0) on x-axis . And so, Therefore this statement is true!

3 0
3 years ago
Read 2 more answers
75 pints of juice in 5 containers how many pints are in each container? I need the ratio and the unit rate
irina1246 [14]
75 pints of juice : 5 containers
? pints of juice : 1 container

5 containers/5 = 1 container
75/5 = 15 pints of juices

The answer is 15 pints of juice

3 0
3 years ago
Read 2 more answers
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