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2 years ago

What is the difference between the solution of a linear

1 answer:

4 0

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

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If she spends her entire budget, Ya Binta can afford 74 peaches and 9 pineapples. She can also just afford 14 peaches and 21 pin

tresset_1 [31]

Answer:

85 cents

Step-by-step explanation:

Let a represent the price of pineapples

Let p represent the price of peaches

74p + 9a= 14p + 21a

p = 17 cents

Substitute 17 for p

74(17) + 9a = 14(17) + 21a

1258+9a= 238+21a

1258-238= 21a-9a

1020= 12a

a= 1020/12

a= 85

Hence the price of pineapples is 85 cents

4 0

2 years ago

Multiply 5 yards 18 inches by 3? please show work

lesya692 [45]

Answer:

5 yards = 15 feet = 180 inches

Step-by-step explanation:

180 inches plus 18 inches = 198 inches

198 x 3 = 594 inches

594 inches = 49 feet 6 inches = 16 yards 1 foot 6 inches, or 16 yards 18 inches

7 0

3 years ago

The population of a town in 2007 is 113, 505

ELEN [110]

from 2007 to 2012 is only 5 years, so we can see this as a compound interest with a rate of 1.2% per annum for 5 years, so

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$113505\\ r=rate\to 1.2\%\to \frac{1.2}{100}\dotfill &0.012\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=113505\left(1+\frac{0.012}{1}\right)^{1\cdot 5}\implies A=113505(1.012)^5\implies A\approx 120481$

7 0

1 year ago

In the local frisbee league, teams have 7 members and each of the 4 teams takes turns hosting tournaments. At each tournament, e

mars1129 [50]

There are 4 teams in total and each team has 7 members. One of the team will be the host team.

Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.

So total number of possible 9 member tournament committees will be equal to:

$7C3 \times 7C2 \times 7C2 \times 7C2\\ \\ = 324135$

This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:

$9 \times 324135\\ \\ =2917215$

Therefore, there are 2917215 possible 9 member tournament committees

8 0

3 years ago

On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 2 inches and

Monica [59]

Answer:

Answer:

(B)

Step-by-step explanation:

We have to construct two equilateral triangles that is one with the side length of 2 inches and the another triangle with side length of 3 inches.

Now, both the triangles are equilateral triangles, thus they have same shape.

Also, both triangles have different side lengths, one having 2 inches and another having 3 inches, thus they have different size.

Hence, the true statement about the two triangles is:

The two triangles are the same shape but not the same size.

Therefore, option B is correct.

Step-by-step explanation:

7 0

2 years ago

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