At Southwest HS, the number of student in band is 1 3/4 times the number in orchestra. If 56 students are in orchestra, how many are in band?
Answers
Number of students in orchestra = 56
The number of students in band is = 1 3/4 times that are in orchestra
Then
Total number of students in band = (7/4) * 56
= 7 * 14
= 98
So 98 students are there playing in the band. I hope the answer and the procedure is clear to you. In future you can use this procedure to solve similar kind of problems without requiring any help from outside.
There are 98 students in the band~
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Answers
so -8 degrees celsius
Answers
Answer: The number is 5.
Step-by-step explanation:
First, let d be our number.
Since we know that d is our number, we rewrite the expression this way:
3 times d incresed by 15 is 30.
3 times d is 3d; 3d increased by 15 => 3d + 15. This equals 30:
3d + 15 = 30
To solve for d, subtract 15 from both sides:
3d = 15
Next, divide both sides by 3:
d = 5
Answers
Answer:Explanation:
Step-by-step explanation:Explanation:
We have that
6
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2
+
19
x
+
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=
6
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2
+
10
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3
x
+
5
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+
3
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3
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5
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)
Answer:
Step-by-step explanation:
6x² + 19 x +15 can be factor as (x-root1 )( x-root2)* coefficient of x²
use quadratic equation to fid the roots, x = (-b±√b²-4ac)/2a
6x² + 19 x +15 =0
x= (-19 ±√19²-4*6*15) / 2*6
x= (-19 ± √1)/ 12
x= (-19+ 1)/12 = -18/12 = -3/2
and
x= (-19-1)/12 = -20/12 = -5/3
6x² + 19 x +15 = 6*(x+(3/2)) (x+(5/3))
the length and with of the rectangle could be any combination of the factors of 6 and the (x+(3/2)) (x+(5/3))
if we consider 6 =2*3 we have length and width 2x+3 and 3x+5
because 2*[x+(3/2)]*3[ x+(5/3)]
if we consider 6 = 3*2 we have length and width 3x+(9/2) and 2x+(10/3)
because 3*[x+(3/2)]*2[ x+(5/3)]
if we consider 6= 6*1 we have length and width 6x+9 and x+(5/3)
because 6*[x+(3/2)]*1[ x+(5/3)]
if we consider 6= 1*6 we have length and width x+(3/2) and 6x+10
because 1*[x+(3/2)]*6[ x+(5/3)]
A.–31
B.–16
C.16
D.31
Answers
Answers
Answer: the number of cephalopods in her seashells collection is 26.
Step-by-step explanation:
Maria has a collection of 64 seashells consisting of three types bivalves,gastropods,and cephalopods. If 1/4 of her collection are bivalves, it means that the number of bivalves that she has is
1/4 × 64 = 14
If 3/8 of her collection are gastropods, it means that the number of gastropods in her collection is
3/8 × 64 = 24
Therefore, the number of cephalopods in her seashells collection is
64 - (14 + 24) = 26
Answers
The altitude of the equilateral triangle with sides 6√3 meters is 9 meters.
Properties of equilateral triangle
- All the sides are equal
- All the angles are equal(60 degree each)
The length of the sides are 6√3 meters each. Recall triangles has three sides.
Therefore, the altitude or height of the triangle can be found as follows:
Using Pythagoras theorem,
c² = a² + b²
where
c = hypotenuse
a and b are the other 2 legs.
Therefore,
h² = (6√3)² - (1 /2 (6√3))²
h² = 108 - 27
h = √81
h = 9 meters
Therefore, the altitude of the triangle is 9 meters.
learn more on triangle here: brainly.com/question/8224697?referrer=searchResults
Answer:
9 m
Step-by-step explanation:
The formula of an altitude of an equilateral traingle with side a:
We have
Substitute:
Use