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Andrei [34K]
3 years ago
12

A marching band wants to line up for their performance. When they line up in threes there are 2 left over. When they line up in

fours there are 3 left over. When they line up in fives there are 4 left over. When they line up in sixes there are 5 left over.
Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer: They are 59 members in the band

Step-by-step explanation:

given data:

when lined up in 3 = 2 left.

when lined up in 4 = 3 left

when they are lined up in 5 = 4 left

when they are lined up in 6 = 5 left

Solution:

From the given data, we know the band number ends with 9, so we start with 9,29,49,59. We test till we arrive at our desired answer.

59/3 = 19 R 2.

59/4 = 14 R 3.

59/5 = 11 R 4.

59/6 = 9 R 5.

They are 59 members in the band.

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What is the center of the ellipse x2+5y2–45=0?
jeka94

Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1

Where center is at point (h,k)

From the equation of \displaystyle{x^2+5y^2-45=0}. First, we add 45 both sides:

\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

8 0
2 years ago
Can someone help me with this problem? 8z when z =12 Evaluating Expressions
Sindrei [870]

Answer:

96

Step-by-step explanation:

8z when 12=z

substitute the z for 112 when doing that multiply 8(12)=96  

8 0
2 years ago
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A third-degree polynomial function f has real zeros -2, ½, and 3, and its leading coefficient negative. Write an equation for f.
WARRIOR [948]
Hello,

y=-k(x+2)(x-1/2)(x-3) where k is a real positive.

We may chose k=1
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3 0
3 years ago
it costs $x for a round trip bus ticket to the mall. You have $24. Write an inequality to represent the greatest amount of money
Nataliya [291]

Answer: x + 18.99 \leq 24

Step-by-step explanation:

Since, the cost of bus fair = x dollars,

Also, a baseball cap which is $18.99 is needed to buy with the given money,

Hence, total expenditure = x + 18.99

While the given money for spending = 24 dollars,

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4 0
3 years ago
How do you multiply the expression (3x+2)(4x-7)
Leona [35]

Answer:

You "FOIL" (First, Outer, Inner, Last).

12x^{2}  - 13x - 14

Step-by-step explanation:

You "FOIL" (First, Outer, Inner, Last). Basically, you have to multiple each term by each of the other terms.

(3x+2)(4x-7)

(3x)(4x) + (17)(3x) + (2)(4x) + (2)(-7)

12x^2 - 21x + 8x - 14

12x^2 - 13x - 14

3 0
3 years ago
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