In September there were 16 members in the music club. In October the member of members was 24. What was the percent increase?

Answer:

x = -5,  y = -1

Step-by-step explanation:

You're given 2 equations:

-6x + 7y = 23

-5x + y = 24

you choose the equation that is easier to isolate a single variable to use as your substitution. I chose -5x + y = 24 because the 'y' is already by itself. Now solve for 'y'.

-5x + y = 24

y = 24 + 5x

Use this y-value to substitute into your other equation

-6x + 7y = 23

-6x + 7(24 + 5x) = 23

-6x + 168 + 35x = 23

29x = 23 - 168

29x = -145

x = -5

We found the value of 'x', so plug it back in to any of the two given equation to solve for y.

-5x + y = 24

-5(-5) + y = 24

25 + y = 24

y = 24 - 25

y = -1

Answer:

(-5,-1)

Step-by-step explanation:

First you must get a variable on one side alone. For example I done Y on the 2nd one. So to move it, you would take the 5x and move/add to the other side so Y=5x+24.

Then the substitution comes in. So you take

-6x+7(5x+24)=23 so you would plug in what Y equals. Then after you distribute the seven you would combine like terms. Then you take and move/subtract 168 from 23 which equals -145. Then you would divide by the number attached to the variable which is 29, therefore giving you x=-5

Then to get Y you simply plug what X equals into the X space.

Y=5(-5)+24

Y= -25+24

Y=-1

Answer:

  [tex]\dfrac{p^2+9p+2}{p^2-49}[/tex]

Step-by-step explanation:

Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.

  [tex]\dfrac{5-p}{49-p^2}+\dfrac{p+1}{p-7}=\dfrac{p-5}{p^2-49}+\dfrac{p+1}{p-7}\\\\=\dfrac{p-5}{(p-7)(p+7)}+\dfrac{p+1}{p-7}\cdot\dfrac{p+7}{p+7}\\\\=\dfrac{(p-5)+(p+1)(p+7)}{(p-7)(p+7)}=\dfrac{p-5+p^2+8p+7}{p^2-49}=\dfrac{p^2+9p+2}{p^2-49}[/tex]

Answer:

6 inch

Step-According to the Pythagorean theorem, the square length of the rectangle + the square width of the rectangle = the square length of the diagonal. So， 8 square + ? Square = 10 square, so 64 +? = 100. 100-64 = 36, 36 is the square of 6, so the answer is 6. Hope is correct. :)

Answer:

n=0

Step-by-step explanation:

We want to solve for n in the equation

-4(3n+3)=5(-2-6n)-2

We expand using the distributive property to obtain:

-12n-12=-10-30n-2

We group similar terms to get:

-12n+30n=-10+12-2

We simplify to get:

18n=0

Divide through by 18 to get:

n=0

Width of the miniature model = [tex]3\frac{3}{4}[/tex] inches

Length of the miniature model = [tex]5\frac{1}{2}[/tex] inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

[tex]$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x[/tex]

[tex]$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x[/tex]

[tex]$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}[/tex]

Do cross multiplication.

[tex]$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}[/tex]

[tex]$\Rightarrow{\frac{15}{4}x =\frac{165}{2}[/tex]

[tex]$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}[/tex]

⇒ x = 22

Hence the actual length of the boat is 22 feet.

answer:

99.43

Step-by-step explanation:

because there is a 0.57 chance something will not happen, we will fill the rest of the equation in with 100 percent subtracted by 0.57 to get 99.43. Therefore, 99.43 is the correct answer.

Final answer:

To find the probability of an event happening when the probability of it not happening is 0.57, subtract 0.57 from 1, resulting in 0.43.

Explanation:

The probability that an event will not happen is given as P(E) = 0.57. To find the probability that the event will happen, we use the formula P(A) + P(~A) = 1, where P(A) is the probability of the event happening and P(~A) is the probability of the event not happening. The probability of the event happening, therefore, is 1 - P(E) = 1 - 0.57 = 0.43.

Answer:

y = (4/3)x - 4

Step-by-step explanation:

(3,0) & (0,-4)

m = (-4-0)/(0-3) = -4/-3 = 4/3

y = (4/3)x + c

c is the y-intercept which is -4

y = (4/3)x - 4

Answer:

6 pieces, 6/8

Step-by-step explanation:

You have 8 pieces you take away 2 you get 6.

8-2=6

Answer:

3/4 of the pie is left.

Step-by-step explanation:

Step 1: Cut the pie into 2 equal pieces. Each piece is 1/2 of the pie.

Step 2: Cut each half in half. Each new smallest piece is now 1/4 of the pie.

Step 3. Cut each 1/4 pie in half. Each new smallest piece is 1/8 of the pie.

Now 2 of the smallest pieces are eaten.

That means 2 of the 1/8 pie size are eaten.

2 * 1/8 = 2/1 * 1/8 = 1/4

1/4 of the pie was eaten.

The remaining part is 1 pie minus 1/4 pie.

1 - 1/4 = 1/1 - 1/4 = 4/4 - 1/4 = 3/4

Answer: 3/4 of the pie is left.

Answer:

(B) y=2x^2

Step-by-step explanation:

(1/2) and (1/4) make the graph wider

2 makes it narrower

Final answer:

The narrowest graph among the given options is the graph of the equation with the largest coefficient, which is y = 2x² , which is option B.

Explanation:

The width of the parabola's graph is determined by the coefficient of the x² term in a quadratic equation of the form y = ax². The larger the absolute value of coefficient a, the narrower the parabola. Therefore, we can compare the coefficients in the given equations:

y = x² has a coefficient of 1.

y = 2x² has a coefficient of 2, which makes it narrower than the first equation.

y = 1/2x² has a coefficient of 1/2, which makes it wider than the first equation.

y = 1/4x² has a coefficient of 1/4, which makes it the widest among all.

Consequently, the graph of equation B, y = 2x², is the narrowest because it has the largest coefficient.

Answer:

The number of ways are there to paint the four buildings is 48.

Step-by-step explanation:

I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.

Therefore the first building can be colored in 4 ways.

ii) the second building can be colored in 3 ways since it cannot be colored the

same color as the first building.

iii) the third building can also be colored in 3 ways.

iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.

Therefore the total number of ways the buildings can be colored = 4 [tex]\times[/tex] 3 [tex]\times[/tex] 3  [tex]\times[/tex] 2 = 48.

There are 108 different ways for the game designer to paint the four buildings using the colors yellow, green, red, and blue, with the requirement that neighboring buildings and the first and last buildings must be different colors.

The game designer has four choices of colors for the first building (yellow, green, red, or blue). For each choice of the first color, the second building has three choices, as it cannot be the same color as the first one. Similarly, the third building will have three choices, as it cannot be the same color as the second building. Finally, the fourth building also has three choices as it must differ from the third one and cannot be the same color as the first building. Therefore, the calculation will be 4 options for the first times 3 options for the second, times 3 options for the third, times 3 options for the fourth: 4 × 3 × 3 × 3 = 108 ways to paint the four buildings.

To summarize, the first building can be any of the four colors. The subsequent buildings each have three options excluding the color of the immediate previous building. Since the first and last buildings must be different, the last building also cannot be the color of the first one, giving us a total of 108 ways to paint the buildings.

Answer:

4 (k-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total cost of the bench would be $72 after the markdown being 10% from the orginal proce which was $80.

Option A:

Midpoint of LN = (2, 3)  

Solution:

In the given graph we can find the coordinates of L and N.  

Coordinates of L = (–2, 3)

Coordinates of N = (6, 3)

Here, [tex]x_{1}=-2, x_{2}=6, y_{1}=3, y_{2}=3[/tex]

Let us find the midpoint of the segment LN.

Midpoint formula:

[tex]$\text { Midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]

                [tex]\begin{aligned}&=\left(\frac{-2+6}{2}, \frac{3+3}{2}\right)\\&=\left(\frac{4}{2}, \frac{6}{2}\right)\\&=(2,3)\end{aligned}[/tex]

Midpoint of LN = (2, 3)  

Option A is the correct answer.  

Hence the coordinates of the midpoint of the line segment LN is (2, 3).

Sylvia has completed 9 laps.

Step-by-step explanation:

Step 1; Sylvia runs for a total of 2000 meters. Each lap is 200 meters long.   To find the number of laps remaining we need to know the total distance, the distance already covered and the distance on each lap. The distance left to run is equal to the total distance to be run - the distance already ran = 2000 - 1800 meters = 200 meters.

Step 2; The number of laps remaining = The distance left to run/distance on each lap.

The number Number of laps remaining = 200 meters/200 meters

The number of laps remaining = 1 lap.

Final answer:

To determine the number of laps a runner has completed when given the remaining distance to run and the length of each lap, multiply the number of laps by the length of one lap. Answer is 9 laps.

Explanation:

To convert the number of track laps to a distance in meters:

Answer

36 km

Step-by-step explanation:

Suppose  he walked n km on the first day

We create the following equation

n + 3/4 n + (3/4)^2 n = 83.25

n + 0.75n + 0.5625n = 83.25

2.3125n = 83.25

n = 36 km

Answer:

36

Step-by-step explanation:

Answer:

x = 0, y = 2

Step-by-step explanation:

3x + 3(x + 2) = 6

2. Substitute the given value of x into the simplest equation y= x + 2

y = 0 + 2

3. Solve the equation for y

y= 2

4. The possible solution of the system is the ordered pair ( x, y)

( x, y) = ( 0, 2)

Answer:

False

Step-by-step explanation:

5=9/5.3+5

5=45.3+5

5= 135+5

5 does not =140

Answer:

[tex]C=12.75n+12.00\\[/tex]

[tex]C= 15.75 n[/tex]

Step-by-step explanation:

When buying tickets to a play online, they cost $12.75 per ticket plus a $12.00 fee per order. When buying tickets at the box office, they cost $15.75 per ticket. The total cost, c, of going to the play, for n people can by represented by a system of equations.  

    . Write a system of equations that could be used to find how many tickets you have to buy for the cost to be the same.

Let n be the number of people and C be the total cost

Play online

[tex]C=12.75n+12.00\\[/tex]

For Box office

[tex]C= 15.75 n[/tex]

These are the system of equations

To find the cost to be same , make both equations equal to each other and solve for n

The number of tickets bought which will make the online order and box office order equal is 4 tickets

Cost of online order:

C = 12.75n + 12

Cost of box office order:

C = 15.75n

12.75n + 12 = 15.75n

12 = 15.75n - 12.75n

12 = 3n

n = 12/3

n = 4

Learn more about equation:

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Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2

The line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = 2x - 1 ← equation of line

Answer:

[tex]y\geq -1[/tex]

see the explanation

Step-by-step explanation:

we know that

'The algebraic expression of the given problem is equal to

[tex]7y+1\geq y-5[/tex]

solve for y

subtract y both sides

[tex]7y+1-y\geq y-5-y[/tex]

[tex]6y+1\geq -5[/tex]

subtract 1 both sides

[tex]6y+1-1\geq -5-1[/tex]

[tex]6y\geq -6[/tex]

Divide by 6 both sides

[tex]y\geq -1[/tex]

The solution is the interval [-1,∞)

All real numbers greater than or equal to -1

Answer:

x - 4 > -9 or x -4 < 9

Step-by-step explanation:

Let's see the definition of absolute value inequality.

i) If  lxl < b, then -b < x < b

ii) If lxl > b, then x > b or x < -b

We are given the inequality  lx - 4l<9

Here we have to use the first case.

Using the above definition of inequality, we can write the given inequality as follows:

-9 < (x - 4) < 9

So the third option is correct.

x - 4 > -9 or x -4 < 9

14.5 hours will it take Jess to fill his pool.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Jess new pool holds 1,624 gallons of water he can fill the pool at a rate of 112 per hour.

So, the number of hours taken to fill the pool

= 1624 / 112

= 14.5 hour.

Thus, the time taken 14.5 hour.

Learn more about Unitary method here:

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Answer: 2

Step-by-step explanation:

4/5 x 2 1/2 = ?

Convert 2 1/2 to 5/2

4/5 x 5/2 = ?

Do 4 x 5, and then 5 x 2.

4 x 5 = 20

5 x 2 = 10

The new fraction is now 20/10.

You can simplify the fraction to 2.

20/10=2

Answer:

2

Step-by-step explanation

4     x       5   =  20    20/10= 2

5      x      2   = 10

i'm sorry for the bad explanation. i'm still testing the stuff.  :P

hope this helps you though! :3

Answer:

x>32

Step-by-step explanation:

1/4x+9>17

1/4x>17-9

1/4x>8

x>8/(1/4)

x>8(4/1)

x>32

Answer:

6/4

Step-by-step explanation:

9-17=6

1/4*6

6/4

I hope this helps

Carol needs to pay a 10% deposit for a house priced at £234900. Calculating the deposit involves applying a percentage formula, concluding that the deposit will amount to £23490.

The subject here is mathematics, and we are dealing with a problem related to percentages. Carol is buying a house for £234900 and needs to pay a 10% deposit. To calculate a percentage, we multiply the total amount by the percentage (in this case, 10%) and divide by 100.

Using this method, we find that 10% of £234900 equals £23490. Therefore, Carol must pay a deposit of £23490 for the house she buys.

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Answer:

a : b = 19 : 7

Step-by-step explanation:

Given

4a - 5b  : 5a + 4b = 1 : 3

Expressing in fractional form, that is

[tex]\frac{4a-5b}{5a+4b}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3(4a - 5b) = 5a + 4b ← distribute left side

12a - 15b = 5a + 4b ( subtract 5a from both sides )

7a - 15b = 4b ( add 15b to both sides )

7a = 19b ( divide both sides by 7 )

a = [tex]\frac{19}{7}[/tex] b ( divide both sides by b )

[tex]\frac{a}{b}[/tex] = [tex]\frac{19}{7}[/tex]

That is a : b = 19 : 7

Answer:

Step-by-step explanation:

4a-5b:5a+4b=1:3

4a-5b/5a+4b=1:3cross multiply

3(4a-5b)=1(5a+4b)

12a-15b=5a+4b

Collect like terms

12a-5a=4b+15b

7a=19b

a:b=7:19

Answer:0.434

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) 12x+10=2(6x+5)

B) -x+8=-(x-8)

Answer:

(-4,-8) is the answer

on ed 2021 :)

hope this helps!!!!!