there are 33 students in the band there are more 5th grade students than 3rd grade students there is an equal number of 3rd grade and fourth grade students how many third grade students are in the band
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33 = A + B + C
Since there are 3 variables, you need to come up with two other equations to substitute in.
C = 6 + A Since there are six more fifth graders than third graders.
A = B Since there is an equal amount of third and fourth graders.
Since A is in both equations, then lets put each variable in terms of A.
B = A
C = 6 + A
So:
A + A + A + 6 = 33
A + A + A = 27 Since you subtract 6 from both sides.
3A = 27 Since you combine all three A's.
A = 9 Since you divide both sides by three.
Therefore, since A is a number of third graders, there are 9 third graders.
(Sorry if there's any typos.
Answer:
there are 9 third graders
Step-by-step explanation:
Related Questions
Find the sum of 12.56 and 45.89
Simplify the expression by combining like terms: -17+a-23b+24a-10
Can someone please help me with this ASAP.(picture included) thx ;)
2.A radio station gave away 126 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. How many tickets did they give away to employees?
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Hope this helped!
Final answer:
To find the value of x in the given context of parallellines intersected by a transversal, we need to consider the properties of parallel lines such as corresponding angles being equal, alternate interior angles being equal, and interior angles on the same side of the transversal being supplementary. The actual numeric value of x however cannot be determined without knowing the values of other angles in the diagram or seeing the diagram itself.
Explanation:
Based on the information provided, if line p is parallel to line f and line t intersects both, we need to consider the properties of parallel lines intersected by a transversal to find the value of x. According to this concept, corresponding angles are equal, alternate interior angles are equal, and interior angles on the same side of the transversal are supplementary (their sum is 180 degrees).
In the diagrams, if the angle's measure associated with variable 'x' is a corresponding angle or alternate interior angle with a known angle, then x is equal to that known angle. If the 'x' is related to an unknown angle which forms an interior angle on the same side of the transversal with a known angle, then x = 180 - the known angle, due to the interior angles' supplementary property on the same side of transversal.
However, without the specific diagram or the values of the other angles, it is impossible to provide a definite numeric value for x.
Learn more about Parallel Lines and Transversals here:
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convert cm to dm
1 dm = 10 cm
side a: 20 cm ⇒ 20cm * 1dm/10cm = 20dm/10 = 2 dm
side b: 30 cm ⇒ 30cm * 1dm/10cm = 30dm/10 = 3 dm
side c: 40 cm ⇒ 40cm * 1dm/10cm = 40dm/10 = 4 dm
We need to get the area of a triangle, but first we need to solve for its height using Heron's formula
s = (a+b+c)/2 = (2+3+4)/2 = 9/2 = 4.5
Area = √(s(s-a)(s-b)(s-c)
h3/2 = √4.5(4.5-2)(4.5-3)(4.5-4)
h3/2 = √4.5(2.5)(1.5)(0.5)
h3/2 = √8.44
h3/2 = 2.91
h = (2.91*2)/3
h = 1.94
A = hb/2 = (1.94*3)/2 = 5.82/2 = 2.91 dm²
48 dm² / 2.91dm² = 16.5 or 17 tiles needed
17 x Rs200 = Rs3,400 is the total cost
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3 is 3% of 100.
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The ladder can safely reach up to 22.6 ft.
What is Pythagoras theorem?
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.
Given that, a ladder has a length of 24 ft, and it should be placed at least 8 feet from the base of the side of the house.
We need to find how high can the ladder safely reach,
Using the Pythagoras theorem here,
24²-8² = 576-64 = 512 ft
Hence, the ladder can safely reach up to 22.6 ft.
Learn more about Pythagoras theorem, click;
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b^2 = 512, so b = sqrt(512) = 22.6
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