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2 years ago

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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.

1 answer:

Naya [18.7K]2 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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6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of

PilotLPTM [1.2K]

Answer:

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Step-by-step explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

$a=\$4.25$

$b=\$2.25$

$c=\$4.00/lb$

we know that

He wants to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad and can spend up to $8

The inequality that represent this situation is

$a+b+cx \leq 8$

substitute the given values

$4.25+2.25+4.00x \leq 8$

Solve for x

Combine like terms

$6.50+4.00x \leq 8$

Subtract 6.50 both sides

$4.00x \leq 8-6.50$

$4.00x \leq 1.50$

Divide by 4 both sides

$x \leq 1.50/4.00$

$x \leq 0.375\ lbs$

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375

3 0

2 years ago

Which graph shows a dilation? On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (ne

allochka39001 [22]

Answer:

its D

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

In ΔEFG, the measure of ∠G=90°, GF = 33, FE = 65, and EG = 56. What ratio represents the sine of ∠F?

gizmo_the_mogwai [7]

<h3>Answer: 56/65</h3>

Work Shown:

sin(angle) = opposite/hypotenuse

sin(F) = EG/FE

sin(F) = 56/65

Refer to the diagram below.

5 0

2 years ago

What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

MrRa [10]

Answer:

Quotient: $2x^2+x-3$

Please see the attachment.

Step-by-step explanation:

Given: $(2x^4-3x^3-3x^2+7x-3)\div (x^2-2x+1)$

We are given rational expression and need to find quotient.

Using long division method to find the quotient.

First we get rid of $2x^4$ by $x^2$

$x^2-2x+1$ ) $2x^4-3x^3-3x^2+7x-3$ ( $2x^2+x-3$

$-2x^4+4x^3-2x^2$

$x^3-5x^2+7x$

$-x^3+2x^2-x$

$-3x^2+6x-3$

$3x^2-6x+3$

$0$

Hence, The quotient of division is $2x^2+x-3$

8 0

2 years ago

Read 2 more answers

The quotient of the sum of 2t and 2, twice the cube of s

natali 33 [55]

Answer: $\frac{2t+2}{2s^3}$

Step-by-step explanation:

Since you did not indicate what you need to do, I assume that you have to write an expression using the sentence given in the problem.

In order to solve this exercise, it is importat to remember the following information:

1. The quotient is the result of a division.

2. The sum is the result of an addition.

3. The word "twice" indicates a multiplicatio by 2.

4. The word "cube" indicates an exponent 3.

Then, keeping on mind the explained above and the data given in the exercise, you know that:

-The sum of $2t$ and $2$ can be expressed as:

$2t+2$

- Twice the cube of $s$ can be expressed in the following form:

$2s^3$

Therefore, you can dermine that "the quotient of the sum of $2t$ and $2$ and twice the cube of $s$ " is represented with the following expression:

$\frac{2t+2}{2s^3}$

O

8 0

2 years ago