Students was 1: 8. However, this year the ratio of the number of middle school students to the number of high school students changed to 2: 7. If there are 18 middle school students in the band this year, how many fewer high school students are in the band this year compared to last year? Expla

Answers

Answer 1

Answer:

Step-by-step explanation:

Last year

Ratio of the number of middle school students to number of high school students = 1 : 8

Total ratio = 9

Middle school = 1

High school = 8

Total students in the band = x

Middle school = 1/9x

High school = 8/9x

Total = 1/9x + 8/9x

This year

Ratio of the number of middle school students to number of high school students = 2 : 7

Total ratio = 9

Middle school = 2

High school = 7

Total students = x

Middle school = 2/9x

High school = 7/9x

Total = 2/9x + 7/9x

If there are 18 middle school students in the band this year

2/9x = 18

x = 18÷2/9

= 18 × 9/2

= 81

x = 81

Last year:

1/9x + 8/9x

= 1/9 * 81 + 8/9 * 81

= 9 + 72

= 81

This year

2/9x + 7/9x

2/9*81 + 7/9*81

= 18 + 63

=81

Change in middle school =this year - last year

= 18 - 9

= 9 (increase)

Change in high school = this year - last year

= 63 - 72

= -9 (decrease)


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When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Answers

The equation will not have an equal sign because that’s what represents an equation

Answer: How can you tell when an equation in one variable has infinitely many solutions or no solution?

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.

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When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Step-by-step explanation:

There you go homies

Help me or I’ll kith you

Answers

Answer:

The answer is (-2,10)

Find the value of a and b when x =10

Answers

Answer:

A=250

B=10

Step-by-step explanation:

You plug in 10 for x and solve

Let’s do a first.
So to start, we need to substitute 10 into the equation, so:
a = 5 x (10 squared) / 2
Which can be simplified to
a = 5 x 100 / 2
a = 500 / 2
a = 250

Now onto b. Again, we need to substitute 10 into the equation, so:
b = (2 x (10 squared))(10 - 5) / 10 x 10
Which can be simplified to
b = (2 x 100)(10 - 5) / 10 x 10
b = 200(10 - 5) / 10 x 10
b = 200(5) / 10 x 10
b = 1000 / 10 x 10
b = 1000 / 100
b = 10

Solve 2x-4 = -2-2+2x
and
Solve 5x-9 = 8+5x

Answers

Answer:

1. 0=0

2. 0=17

Step-by-step explanation:

20% of Taddes’s salary is lost away and only 100 birr is left. Find his full salary.

Answers

Answer:

125 birr

Step-by-step explanation:

80%=100

1%=1.25

100%=125

Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute. Marla will use both copiers to make a total of 1200 copies of the newsletter. Both copiers will start and end at the same time. How many minutes will it take to make 1200 copies?

Answers

Answer:

12 minutes.

Step-by-step explanation:

Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute.

Since both copier start at the same time, let the number of minutes used by both copiers be represented by x

60 × x + 40 × x = 1200 copies

60x + 40x = 1200

100x = 1200

x = 1200/100

x = 12 minutes

Therefore, it will take 12 minutes l to make 1200 copies.

-3+-4^2 divided by 2

Answers

Answer:

The answer to your question is -11

Answer:

-11

Step-by-step explanation:

Hope this helps! ^-^

Make s the subject of the formula

T^2=2p+as

Answers

Step-by-step explanation:

Original formula: T^2 = 2p + as

T^2 - 2p = as

s = (T^2 - 2p) / a

I need help!! Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x^3 + 1. Include the average rate of change in your answer.

Answers

Answer:

39

Step-by-step explanation:

The average rate of change obtained from the ratio of the change in y to the change in x is 39.

The average rate of change can be obtained using the relation :

Rate of change = (y2 - y1) ÷ (x2 - x1)

At ; x1 = 1

y1 can be calculated from the function ;

y1 = 3(1³) + 1 = 3(1) + 1 = 4

At ; x2 = 3

y1 can be calculated from the function ;

y2 = 3(3³) + 1 = 3(27) + 1 = 82

Rate of change can be calculated thus :

Slope = (82 - 4) ÷ (3 - 1) = 78 ÷ 2 = 39

Therefore, the average rate of change is 39.

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An electrician cuts a 30 ft piece of wire into 2 pieces. One piece is 2ft longer than the other. How long are the pieces?

Answers

Answer:

  piece1:   14 feet

  piece2:  16 feet

Step-by-step explanation:

piece1:   x

piece2:  x + 2

x + x + 2 = 30

2x + 2 = 30

2x = 28

x = 14

piece1:   x = 14

piece2:  x + 2 = 14 + 2 = 16

Length of short piece = x
Length of longer piece = x + 2
Given x + x + 2 = 30, 2x = 28, x=14
Pieces are 14ft and 16ft long

Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?

Answers

s = side length of square

4s = perimeter of square

L = length of rectangle

W = width of rectangle

P = 2L+2W = perimeter of rectangle

4s = 2L+2W .... since we want the perimeters the same

4s = 2(L+W)

s = 0.5(L+W)

s^2 = (0.5(L+W))^2 ... square both sides

s^2 = 0.25(L+W)^2

The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.

-----------------------------------

The area of the rectangle is LW

Let's subtract this from the area of the square and see what we get

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B = area of rectangle = LW

C = difference in area

C = A - B

C = s^2 - LW

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C = 0.25(L^2-2LW+W^2)

C = 0.25(L-W)^2

Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.

So C is always positive as long as [tex]L \ne W[/tex]

If C > 0, and C = A - B, then

C > 0

A-B > 0 .... replace C with A-B

A > B .... add B to both sides

This shows the square area is always larger than the rectangle.

Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.

We make [tex]L \ne W[/tex] to have a nonsquare rectangle.

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Answers

Answer:

a) d + f

b) 3d + f - 7

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a sequence is Defined by the formula F(n+1)=f(n)-3. If f(4)=22, what is f(1)

a)10
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Answers

Answer:

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Step-by-step explanation:

A certain test is scored by adding 1 point for
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A

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1

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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b

Step-by-step explanation:

Answer:

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Step-by-step explanation

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

=x4−x3−6x2+5x−1

Step-by-step explanation:

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Answers

Answer:

Two integers whose product is -28 and sum is 12 are 14 and -2.

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Answers

Answer:

b.40

Step-by-step explanation:

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Answers

Answer:

-3.75 and oof i got it wrong i put 3.75

Step-by-step explanation:

A population of largemouth bass is 950 this year and the rate of decrease is 35% per year. How many bass will remain after 15 years of decay at this rate?
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617
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525
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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

g=1/6w+6.6667

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-w=6(6.6667-g)

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Answer:

the denominator in 6/9.75 is incorrect

Step-by-step explanation:

find unit rate then x 24 numerator. 24 the denominator,

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Answers

Answer:

There are infinitely many equivalent fractions

Step-by-step explanation:

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PLS help in this questions. Thanks !

Answers

Answer:

D

Step-by-step explanation:

You are given the two sides and the abgle inbetween.

Ann is having a birthday party at a pizza place. The restaurant charges $100
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Answer:

The slope represents how much it will cost per customer

Step-by-step explanation:

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