The members of a band are arranged in a rectangular formation. When they are arranged in 8 rows, there are 2 positions unoccupied in the formation. When they are arranged in 9 rows, there are 3 positions unoccupied. How many members are in the band if the membership is between 100 and 200

Answers

Answer 1

Answer:

150

Step-by-step explanation:

Using 8 rows leaves  2 positions unoccupied implies that the population of the number  of members in the band is 2 less than a  multiple of 8. That makes this an even  number.

Similarly, we understand that the number  of members is 3 less than a multiple of  9. So, If we list the even numbers  that are 3 less than multiples of 9  between 100 and 200 and are even; we have:

117 – 3, 135 – 3, 153 – 3, 171 – 3,  189 – 3

= 114, 132, 150, 168, 186  

Also, the numbers that are two less than  a multiple of 8:  

102, 110, 118, 126, 134, 142, 150, 158,  166, 174, 182, 190, 198

From above, we will realize that the number common in both is 150

Let's check if that satisfy our calculation;

SO:

150/8 = 18 remainder 6 ; Thus 8 - 6 = 2 (positions)

150/9 =  16 reminder 6 ;  Thus  9 - 6 = 3 (positions)

Hence the number of members in the band if the membership is between 100 and 200 is 150


Related Questions

a certain triangle has a 30 angle and a 60 angle which must be a true statement about the triangle

Answers

Answer:

the other side has an 90° angle , it must be an acute triangle

Step-by-step explanation:

a triangle has a total angle of 180°

So if one side has an angle of 60° and the other has an angle of 30°, the other side must be the substraction of both angles to the 180° sum

180° - 60° - 30° = 90°

Answer: The longest side is twice as long as the shortest side.

Pythagorean Theorem:a2 + b2 = c2

Re−write the formula solving for b2 .

Answers

Answer:

b^2=c^2-a^2

Step-by-step explanation:

SHOW WORK: Evaluate f(-2) with f(x)=3x+1 *

Answers

Answer:

f(2) = 7

Step-by-step explanation:

Solve for f(-2) in f(x) = 3x + 1

x = -2

Plug in -2 for x in the equation:

f(2) = 3(2) + 1

Remember to follow PEMDAS. First, solve the multiplication, then add:

3 * 2 = 6

6 + 1 = 7

f(2) = 7 is your answer.

~

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf f (x)=3x+1 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf f (-2)=3 (-2)+1 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf f (-2)=-6+1 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf f (-2)=-5[/tex]

help me please i will choose brainlest idk how to spell

Answers

y= 1/2x - 2 1/2, use the slope formula and then solve for your y intercept using a point.
The guy above me got it right just put what he has

which angles are corresponding angles with angle 8?

Answers

Answer:

Angle4 and Angle12

Step-by-step explanation:

hope this helps if you need me to explain i will

angle 4 -brainly answer

.
1. Steve runs 8 kilometers in 2 hours. He runs for another hour. How many
kilometers can Steve run in that time, if he maintains his pace?

Answers

Steve can run 4 kilometers. This is because if he runs 8km for 2 hours, then at the same pace, given half the amount of time to run, he can reach half as much distance, that being 4km

Hope this helps!

Find the unit rate. Round to the nearest hundredth, if necessary.
$390 for 16ft2?

The unit rate is $

Answers

Answer:

2.01030927835 or $2.01

Step-by-step explanation:

16 ft 2 in = 194 in

390/194 = 2.01030927835

Simplify, $2.01

Hope this Helps :)

What is the sum of the polynomials?

(7x3 – 4x2) + (2x3 – 4x2)

5x3
9x3
5x3 – 8x2
9x3 – 8x2

Answers

Answer:

9x^3 - 8x^2

Step-by-step explanation:

hope this helps :)

Answer:

i thank is  D

Step-by-step explanation:

Can you please help me

Answers

Answer:

x = 75° and y = 105°

Step-by-step explanation:

In the given figure

There  are two parallel lines intersected by another line which called a transversalThere are two corresponding angles formed from this situation

∵ The angle of measure (180 - x) and the angle of measure y are

   corresponding angles

∵ Corresponding angles are equal in measures

→ Equate their measures

180 - x = y ⇒ (1)

The down line and the transversal formed a pair of linear angles at the point of intersection

∵ The angle of measure y and the angle of measure 75° are linear angles

∵ The sum of the measures of the linear angles is 180°

→ Add their measures and equate the sum by 180°

y + 75 = 180

→ Subtract 75 from both sides to find y

∵ y + 75 - 75 = 180 - 75

y = 105°

→ Substitute the value of y in (1)

180 - x = 105

→ Subtract 180 from both sides

∵ 180 - 180 - x = 105 - 180

∴ - x = - 75

∵ Divide both sides by -1 to find x

x = 75°

The length of a rectangle is 4 more than twice the width. If this rectangle’s perimeter is 50,
what are its dimensions?

Answers

Answer:

width: 7 length: 18

Step-by-step explanation:

they tell us the length is 2 times the width plus 4 more so the equation for one of the lengths is

2x + 4, where 'x' is the value of one width. but, because there are two sides for each the length and the width, the final equation will be:

2(2x + 4) + 2(x) = 50

then simplify and solve for 'x'

What is the value of the expression when a = 4, b = 3 , and c = 10?

3a4b−c

A. 1

B. 4

C.6

D.12

Answers

Answer:

C.6

Step-by-step explanation:

12-10=2, 12/2=6

,,,,,,,

Sarah has the following set of numbers.
18, 19, 22, 22, 25, 25, 26, 31, 32, 34, 37, 37, 37
What is the interquartile range for this set of numbers?

Answers

Answer:

14 because there are 14 numbers in the equation :)

Do you know the sales tax is in your state? How could you find out?

Answers

Answer:

Well in my state, it's 6%. Use google to find out yours.

Step-by-step explanation:

Answer:

I know the sales tax is .16 here in Texas. I found out whenever me or my mom would go shopping. I would look at the tax at the bottom of the recipt or do the math. Find the sum of all the gorceries without tax and then subtract it by the total amount of money of the groceries with tax. Then divide that by the amount of groceries we bought.

Step-by-step explanation:

You, yes you help me pls✨

Answers

The answer is A because the corresponding angles are equal
The correct answer is A

Write an equation of a line with the given slope and y-intercept.
m = 4, b = -1
a. y = -x + 4
b. y = 4x + 1
C. y = -x - 1
d. y = 4x - 1

Please provide explanation :)

Answers

Answer:

D. y=4x-1

Step-by-step explanation:

y=mx+b (This is the slope intercept formula) The M(X) represents the slope and the B represents the y intercept.

y=4x-1

Answer:

d. y = 4x -1

Step-by-step explanation:

y = mx + b

  m= 4

  b= -1

y = (4)x + (-1)

y = 4x - 1

can i get brainliest please?

b) work out 1 3/4 x 4 1/6

Answers

Answer:

7 7/24

Step-by-step explanation:

make it a mixed number and multiply then simplify

7/4 x 25/6

25 x 7=175

6 x 4=24

175/24

7 7/24

What are the intercepts of this graph?

Answers

Answer:

x-int: (-250, 0) y-int: (100, 0)

Answer:

the y-intercept is ( 0,100) and the x- intercept is (-210,0)

correct me if i am wrong?

Step-by-step explanation:

URGENT HELP! Will give Most BRAINLIEST!

Answers

Answer:

See Below.

Step-by-step explanation:

We know that r and s are parallel. This means that p and q are transversals.

We also know that ∠1 and ∠4 are supplementary.

And we want to prove that p is parallel to q.

  Statements:                                 Reasons:

1) [tex]\bf{r\parallel s[/tex]                                              Given

2) [tex]\angle 1 \text{ and }\angle 4\text{ are supplementary}[/tex]     Given

3) [tex]\angle 1\text{ and } \angle 5 \text{ are supplementary}[/tex]     Consecutive (Interior) Angles Theorem

4) [tex]\bf{\angle 5\cong \angle 4}[/tex]                                      Congruent Supplements Theorem

5) [tex]p\parallel q[/tex]                                           Corresponding Angles Theorem Converse

And we are done!

Select the correct answer for how you would rationalize the denominator for 1/√3?

Answers

You would multiply top and bottom by [tex]\sqrt{3}[/tex] to go from [tex]\frac{1}{\sqrt{3}}[/tex] to [tex]\frac{\sqrt{3}}{3}[/tex]

Multiplying a square root by itself is the same as squaring the value.

So, [tex]\sqrt{x}*\sqrt{x} = (\sqrt{x})^2 = x, \ \ \text{ when } x \ge 0[/tex]

Which is why we're able to get rid of the square root in the denominator. The square root and squaring operation effectively cancel each other out.

Write the equation of the line:
(1,-7); slope =-1

Answers

Answer:

y=-1x-6

Step-by-step explanation:

the slope is -1

use y=mx+b

Plug  the point into y=mx+b, -7=-1(1)+b

-7=-1+b

add 1 both sides the y- intercept is b=-6

Which equation of a line is parallel to the graph of y=5x-13 and passes through the point (2,-1)?
A) Y= -1/5x+8
B) y=5x -7
C) y=5x -11
D) y= -1/5x -6

Answers

Answer:

Idek but B and C are parallel

Step-by-step explanation:

how to solve arithmetic means between 18 and -10​

Answers

Answer:8

Step-by-step explanation:

HELP PLZ ASAP :((((:(((

Answers

Answer:

The second option

Step-by-step explanation:

The domain is the x values and the range is the y values

Which is another way to make 2,800?

Answers

Answer:

2800-0

Step-by-step explanation:

yes like seriously tho if u didn't put that then u got urself an answer

Answer:

11,200 ÷ 4 = 2,80050 ⋅ 56 = 2,8002,346 + 454 = 2,8004,639 - 1,839 = 2,800

Step-by-step explanation:

There are lots of ways

to make 2,800. In this case,

I made each example a different sign,

making an example for each sign will be better than just addition or just any other sign.

Hope this helps! <3

What is the meaning of the expression 5 x (100 - 25)?

Answers

Answer:5 x (100 - 25) = 375

Step-by-step explanation: 5 x 75 = 375

63 new houses were built, so far 6/7 of them have been sold. How many new houses were sold?

Answers

Answer:

54

Step-by-step explanation:

63x 6/7

Y +2 = 5/9(x-2)
What is this?

Answers

Answer:

It is algebra

Step-by-step explanation:

do you want the answer?

plz help I will mark brainlest

Answers

Answer: 340$$$

Step-by-step explanation:

Basically you divide 680 by 2 cause 2 is half which is the same as 50% so its 340

The expression below was given on a recent math test
What is the value of the expression?
look at the screenshot

Answers

Answer:

24

Step-by-step explanation:

In math class the girl to boy ratio is 8to 6. If there are 24 girls in the class how many boys are there

Answers

Answer:

easy math Girls=24 Boys=? The answer is 18 boys

Step-by-step explanation: What you know is for every 8 girls that is 1/3 of the total number of girls, so you just multiply 6 time 3. Hope this helped :)

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