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kherson [118]
3 years ago
9

A rectangle and a triangle have the same area.

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0
Area of a rectangle is length times width. Area of a triangle is one-half base times height. Now just plug in everything we know and set the equations equal to each other.

(6)(8) = 0.5(8)(h)

Solve for height

48 = 4h

h = 12 m




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The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72 minutes long. The jazz
zimovet [89]

Answer:

The symphonic choir can record a maximum of 14 songs.

Step-by-step explanation:

We know that the album cannot be more than 72 minutes long, and the jazz choir records a total of 7 (3min) = 21  song minutes.

If we call c the number of songs the symphonic choir records , and each song is 3.5 minute long, then the song minutes for the symphonic choir are 3.5c; therefore, we have the inequality

3.5c+21\leq 72<em> (this says the song minutes for jazz choir plus song minutes for symphonic choice cannot exceed 72 minutes )</em>

We solve this inequality by subtracting 21 from both sides and then dividing by 3.5:

3.5c\leq 51

$c\leq \frac{51}{3.5} $

c\leq 14.47

The maximum integer value c can take is 14; therefore, the maximum number of songs the symphonic choir can record is 14 songs.

3 0
3 years ago
Simplify the following expression: (1 point)
prohojiy [21]

Answer:

⟼3x {}^{2}  + 12 + y

Step-by-step explanation:

Here,2x − 6y + 3x {}^{2} + 7y − 14x

= 3x {}^{2}  + 2x - 14x - 6y + 7y

= 3x {}^{2}  - 12x - 6y + 7y

= 3x {}^{2}  - 12x + y

6 0
2 years ago
Read 2 more answers
If I get a 90 on a quiz and I have a 88.4 in the class will it bring the grade up
g100num [7]
It should but 88 is still a A
7 0
4 years ago
Multiplying rational numbers (-7) (-2) SHOW WORK PLEASE
lyudmila [28]
The answer is 14 because a negative number multiplied by another negative number is positive. So (-7)*(-2) is 14.
3 0
3 years ago
To get a B in​ math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 82​,74​,82​,and 74.Wha
motikmotik

Answer:

88 score.

Step-by-step explanation:

Given:

To get a B in​ math, Alexandria Pappas must<u> average 80</u> on five tests.

Scores on the first four tests were <em>82​, 74​, 82​, and 74.</em>

Question asked:

What is the lowest score that she can get on the last test and still get a​ B?

Solution:

Let lowest score she can get on the last test = x

As we know:

Average=\frac{Sum\ of \ observations}{Number\ of\ observations}\\ \\ 80=\frac{82+74+82+74+x}{5} \\ \\

By cross multiplication:-

80\times5=312+x \\ \\400=312+x\\Subtracting\ both\ sides\ by\ 312\\400-312=312-312+x\\88=x

Thus, she can get 88 score on the last test to get a B in​ math.

5 0
3 years ago
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