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DENIUS [597]
2 years ago
15

1. There are 46 students in the orchestra and twice that number in the band. There are 34

Mathematics
1 answer:
ziro4ka [17]2 years ago
4 0

The total number of students in the orchestra, the band, and the choir is 195

<h3>Determining the number of students </h3>

From the questions, we are to determine how many students in total are in the orchestra, the band, and the choir

From the given information,

There are 46 students in the orchestra and twice that number in the band.

Thus,

Number of students in the orchestra = 46

Number of students in the band = 2 × 46 = 92

And

There are 34 boys and 23 girls in the choir

∴ Number of students in the choir = 34 + 23 = 57

Then,

The total number of students in the orchestra, the band, and the choir = 46 + 92 + 57

Total number of students in the orchestra, the band, and the choir = 195

Hence, the total number of students in the orchestra, the band, and the choir is 195

Learn more on Calculating quantity here: brainly.com/question/14635353

#SPJ1

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Suppose a car has a rating of 4.8 gallons per 100 miles. What is the miles-per-gallon rating of this car? 
bezimeni [28]

Answer:

The miles-per-gallon rating of this car is 20.83.

Step-by-step explanation:

This question can be solved by a rule of three.

What is the miles-per-gallon rating of this car?

How many miles for 1 gallon?

4.8 gallons are used for 100 miles. So

4.8 gallons - 100 miles

1 gallon - x miles

4.8x = 100

x = \frac{100}{4.8}

x = 20.83

The miles-per-gallon rating of this car is 20.83.

4 0
3 years ago
The area of a field shaped like a right triangle is 750yd^2.One leg of the field is fenced with wood costing $5/yd. the remainde
Elenna [48]
Assume that
 a and b = the two legs of the right triangle. 
 c =  the hypotenuse.

The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500               (1)

The perimeter is 150yd, therefore
a + b + c = 150         (2)

Let the side fenced with wood be a, at $5/yd.  Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
 5a + 10b + 10c = 1200            
or
a + 2b + 2c = 240         (3)

From (2), obtain 
c = 150 - a - b              (4)

Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60

From (1), obtain
60b = 1500
b = 25

From (4), obtain
c = 150 - 60 - 25 = 65

Answer:
A. The length of the leg fenced with wood is 60 yd.
B.  The length of the leg fenced with steel is 25 yd.


5 0
3 years ago
If a triangle is a right triangle then the other two angles must be acute true or false ?
kolezko [41]

Answer:

The sum of the angles in any triangle is 180 degrees. If one of the three angles is 90 degrees (a right angle) the the sum of the other two angles is 90 degrees. Therefore each of the other two angles must be acute.

The statement is TRUE.

Step-by-step explanation:


8 0
3 years ago
Twenty-seven minus of a number (x) is not more than 36. What is the number? A. x &gt; 42 B. x ≥ -6 C. x &lt; 3 D. x ≤ -6
natali 33 [55]

Answer:

B

Step-by-step explanation:

since it hints that it is less than we can see that B  gives it to us also it can't be A cuz 42 is greater than 36

so it is B

Brain list plss

5 0
3 years ago
Solve the inequality -6c&lt; -12
sweet [91]

Answer: c<2

Step-by-step explanation:

-6c<-12

c<-12/-6

c<2

7 0
3 years ago
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