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3 years ago

How do you solve -2 (x + 4) > 24 + 3x

Mathematics

2 answers:

mojhsa [17]3 years ago

8 0

-2 (x+4) >24 + 3x

-2 -8 > 24 + 3x

-2x -3x -8 > 24

-2x - 3x > 24 + 8

-5x > 24 + 8

-5x > 32

Divide -5 on both sides

x < -32/5

julsineya [31]3 years ago

5 0

$-2 (x + 4) > 24 + 3x \\ -2x-8>24+3x\\ 5x$

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An experiment involves 16 participants. From these, a group of 4 participants is to be tested under a special condition. How man

zheka24 [161]

Answer:

43,680 ways.

Step-by-step explanation:

We have been given that an experiment involves 16 participants. From these, a group of 4 participants is to be tested under a special condition. We are asked to find the number of groups of 4 participants that can be chosen, assuming that the order in which the participants are chosen is irrelevant.

We will use permutations formula to solve our given problem.

$^nP_r=\frac{n!}{(n-r)!}$

For our given problem $n=16$ and $r=4$ .

$^{16}P_4=\frac{16!}{(16-4)!}$

$^{16}P_4=\frac{16!}{12!}=\frac{16*15*14*13*12!}{12!}=16*15*14*13=43,680$

Therefore, 4 participants can be chosen in 43,680 different ways.

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4 years ago

Fred Salmon purchased six $1,000 bonds at 92. The bonds pay 6.5%. What was the cost of the bonds? What was the total annual inte

Hunter-Best [27]

What is the cost of the bond?
When you see that a bond was purchased "at 92", this means that the bond was purchased for 92% of the face value. Sometimes the bond purchaser will pay more than the face value (purchased a number greater than 100), generally if the interest rate is higher than the market rate.

The cost of one bond, then, is 92% of 1,000, or $920.
Since there are 6 bonds, the total cost is 920 x 6 = $5520

What is the total annual interest?
The annual interest is the interest rate on the bond times the face value (not the cost of the bond).
The interest rate is 6.5%, so the annual interest on one bond is:
6.5% x 1000 = $65
6 bonds: $65 x 6 = $390

When we think of yield, we want to consider the real return on the bond. This is the annual interest earned divided by what the purchaser paid for it.
The purchaser paid $5520 for the bonds, and is earning $390.
390 ÷ 5520 = 7.06%.
Note that we can also calculate the return on one bond, rather than the total cost and interest of 6 bonds, and get the same result.
65 ÷ 920 = 7.06%

4 0

3 years ago

Read 2 more answers

Explain the purposes of inductive and deductive reasoning in mathematics. Be sure to define both inductive reasoning and deducti

uysha [10]

When it comes to deductive reasoning, it is used to reach a logical solution. You start out with the general statement, or hypothesis, and examine all the possibilities so you can reach the final conclusion.
Inductive reasoning is completely opposite - you focus on specific observations, and then make broad generalizations.

7 0

4 years ago

Giselle has a catering business. There is a proportional

Vanyuwa [196]

Answer:

1) The graph labeled and the ordered pairs plotted are shown in the second picture.

2) To calculate the amount of meat (in pounds) needed for a party of 75 people:

Substitute the value of the Constant of proportionality and $x=75$ into the equation $y=kx$ and then evaluate (The result is 30 pounds).

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

Proportional relationships have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

1) You can observe in the graph shown in the first picture this point:

$(10,4)$

So you can subsitute the coordinates of this point into $y=kx$ and solve for "k":

$4=k(10)\\\\k=\frac{4}{10}\\\\k=\frac{2}{5}$

Now you can find the amount of meat needed for 20, 30, 40, and 50 people with this procedure:

<u>For 20 people</u>

Substituting $k=\frac{2}{5}$ and $x=20$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(20)=8$

The ordered pair is:

$(20,8)$

<u>For 30 people</u>

Substituting $k=\frac{2}{5}$ and $x=30$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(30)=12$

The ordered pair is:

$(30,12)$

<u>For 40 people</u>

Substituting $k=\frac{2}{5}$ and $x=40$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(40)=16$

The ordered pair is:

$(40,16)$

<u>For 50 people</u>

Substituting $k=\frac{2}{5}$ and $x=50$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(50)=20$

The ordered pair is:

$(50,20)$

Knowing those values of "y"and having the ordered pairs, you can finish labeling the graph an plotting the ordered pairs (See the second picture.).

2) Substituting $k=\frac{2}{5}$ and $x=75$ into the equation $y=kx$ and evaluating, you can calculate the amount of meat (in pounds) needed for a party of 75 people. This is:

$y=(\frac{2}{5})(75)=30$

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3 years ago

Please help!!! No LINKS

olchik [2.2K]

Answer:

B is the answer

Step-by-step explanation:

8 0

3 years ago