Last
year at a certain high school, there were 60 boys on the honor roll and 130 girls
on the honor roll. This year, the number of boys on the honor roll increased by 5%
and the number of girls on the honor roll increased by 20%. By what percentage did
the total number of students on the honor roll increase? Round your answer to the
nearest tenth (if necessary).

Answer:

B, g(n) = 50*1.15^n

Step-by-step explanation:

It's a geometric sequence because the money is increasing by a percentage every year.

Answer:

5x-15=3x+5

5x-3x=5+15

2x=20

x=20/2

x=10

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Hello!

Let's distribute the parenthesis

Solve:

Now, we can rearrange the variable so that x is on one side and the numbers are on the other.

We can isolate x by dividing by the coefficient of x (2).

The value of x is 10.

Answer:

x. /. Y.

0. /. 1.

1. /. 3.

2. /. 5.

3. /. 7.

Step-by-step explanation:

Part A

Refer to the diagram below. Specifically, refer to figure 1.

Point P is added to form a right triangle.

J is at (-7,2) and P is at (11,2). Segment JP is 18 units long.

We split segment JP into 4 equal pieces to get 18/4 = 4.5; this result is added onto the x coordinate of J to get -7+4.5 = -2.5 which is the x coordinate of point Q. So Q is at (-2.5, 2)

The value -2.5 is the x coordinate of point S as well.

Notice how the ratio JQ:QP is equal to 1:3.

----------

The distance from P to H is 6 units, which divided into four pieces means 6/4 = 1.5 is added onto the y coordinate of P to get 2+1.5 = 3.5; this is the y coordinate of points R and S as the diagram indicates. Like in the previous section, the ratio PR:RH is equal to 1:3

So ultimately point S is located at (-2.5, 3.5)

If we used the distance formula to compute the lengths of segments JS and SH, then we should find that they are in the ratio 1:3. In other words, segment SH is 3 times longer compared to segment JS. This would help confirm the answer. I'll let you do this confirmation part.

============================================================

Part B

Refer to figure 2 this time.

We'll have a similar thing going on here as done in part A, though the points Q and R are in different locations.

To find where Q must be, we take 5/6 of the distance from J to P (which we found was 18 units). So (5/6)*18 = 15. This 15 is added onto the x coordinate of J to get -7+15 = 8. This is the x coordinate of point Q and point T.

Similarly, (5/6)*(length of segment PH) = (5/6)*6 = 5 is added onto the y coordinate of P to form the point R(11,7). The y coordinate of this helps form the y coordinate of the point T.

In short, point T is located at (8,7)

You should find that JS/SH is equal to 5/6 when you apply the distance formula to compute the lengths of JS and SH. I'll let you do this confirmation.

Answer: Creo que es correcto

Step-by-step explanation: Porque si realmente lo piensas, probablemente lo entenderías, así que sí, y espero haberte ayudado.

Part A

x = amount of money she starts with

(4/9)x = cost of the dress

(5/9)x = amount of money leftover after buying the dress

note that 4/9 and 5/9 add to 1 to represent 100% of her money

(3/4)*(5/9)x = (15/36)x = (5/12)x = amount spent on shoes

We see that she spent 5/12 of her original amount of money on shoes.

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

We can look at a more concrete example if the previous section does not make sense.

Let's multiply the denominators 9 and 4 to get 9*4 = 36. Doing this trick will mean that the later steps won't involve decimal values.

Let's say she starts off with $36

Multiply that with 4/9 to get (4/9)*36 = 16. So in this hypothetical situation, the dress costs $16 and she's left with 36-16 = 20 dollars.

Multiply that 20 by 3/4 to get (3/4)*20 = 15

In this situation, the shoes cost $15

We'll then divide the cost of the shoes (15) over the original amount of money she started with (36)

15/36 = (3*5)/(3*12) = 5/12

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

=======================================================

Part B

From the first section in part A, we found that:

Add those two expressions

(4/9)x + (5/12)x = (16/36)x + (15/36)x = (31/36)x

This indicates that buying the dress and shoes will cost (31/36)x dollars, where x is the original amount of money Jing has to start with.

The amount left over is (5/36)x because 5/36 adds with 31/36 to get 1.

Take 1/3 of this to get:

(1/3)*(5/36)x = (5/108)x

Then set this equal to 18 and solve for x

(5/108)x = 18

5x = 18*108

5x = 1944

x = 1944/5

x = 388.80

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

Let's check the answer

If she starts with 388.80 dollars, then the dress costs (4/9)*388.80 = 172.80

She's left with 388.80 - 172.80 = 216 dollars after buying the dress.

She then spends the remaining 3/4 of that on shoes. So (3/4)*216 = 162 dollars is spent on the shoes.

Jing now has 216 - 162 = 54 dollars left over.

1/3 of which is spent on the shoe bag, meaning it costs (1/3)*54 = 18 dollars

This confirms our answer.

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

Answer:

f(-1) = 2

f(0) = 3

Step-by-step explanation:

f(a) = 3a - a²

f(4)= 3*4-4²= -4 ⇒ correct

f(3)= 3*3-3²= 0 ⇒ correct

f(-1) = 3*(-1)-(-1)²=-3+1= -2 ⇒ incorrect

f(0) = 3*0-0²= 0 ⇒ incorrect

f(-5) = 3*(-5)-(-5)²= -15-25= -40 ⇒ correct

Step-by-step explanation:

(k + 3) - (3k - 5) = k + 3 - 3k + 5       [expand the brack and simplify like terms]

                         = -2k + 8

Answer:

answer in Step by step

Step-by-step explanation:

first row

4+3=7

-1+1=0

4+-3=1

second row

1+3=4

1+-1=0

-3+1=-2

thrid row

-2+3=1

-2+-1=-3

-2+-3=-5

Step-by-step explanation:

[tex] \frac{p}{( \frac{ - 5}{12} )} \\ = \frac{p}{ - 5} \times 12 \\ = \frac{ - 12p}{5} \\ thank \: you[/tex]

Answer:

x is the greatest common factor

Answer:

4X-4XY=0

⇔4X(1-Y)=0

Step-by-step explanation:

Answer:

hope this helps :)

Step-by-step explanation:

20−3x=5

Subtract 20 from both sides.

20-3x-20=5-20

⇒-3x=-15

divide both sides by 3

⇒-3x/-3=-15/-3

⇒x=5

Answer:

[tex] \sf \: d) \: x = 5[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 20 - 3x = 5

Then the value of x will be,

→ 20 - 3x = 5

→ -3x = 5 - 20

→ -3x = -15

→ 3x = 15

→ x = 15 ÷ 3

→ [ x = 5 ]

Hence, the value of x is 5.

Answer:

C

Step-by-step explanation:

Answer:

6210

Step-by-step explanation:

Answer:B, C and E

Step-by-step explanation:

0.8 = 8 tenths

0.03 = 3 one hundredths

80/100 is the same as 8/10 or 8 tenths

3/100 is also 3 hundredths

This can be expressed by 8/10 and 3/100

Answer:

e, c, b

Step-by-step explanation:

for more info, check the picks, if this helped, please mark as brainliest

Answer:

46.15%

Step-by-step explanation:

# of girls + # of boys = total # of students

12+14=26

# of girls / total # of students = percentage of girls in the class

12÷26=0.461538

Move the decimal place over two spots or multiply by 100 for the percent

46.1538%

Round up if needed, in this case I rounded up to the hundredths place.

Answer:

3

Step-by-step explanation:

Answer:

6 2/15

or 92/15

Step-by-step explanation:

To subtract mixed numbers, subtract the whole number parts of the mixed numbers and then subtract the fraction parts in the mixed numbers. Finally, combine the whole number answer and the fraction answer to express the answer as a mixed number. Subtract. Simplify the answer and write as a mixed number.

Answer:

6 2/15

Step-by-step explanation:

7 1/3 - 1 1/5

turn fractions in to common denominators

1/3 x 5 = 5/15

1/5 x 3 = 3/15

Now subtract fractions

7 5/15 - 1 3/15

= 6 2/15

Answer:

The answer is 11.

Step-by-step explanation:

You replace x with the value of 3 and solve.

Answer:

23

Step-by-step explanation:

3 × 2 × 4 - 3 + 2

Step-by-step explanation:

9/9 (total no. of students) - 2/9 (women)

=7/9 (male)

= 7:9

Answer:

Step-by-step explanation:

Part A:

For Dog walking, he earns $30 for 5 hours of work.

He earns $36 for 6 hours of work.

$30/5 hours = $6/hour

$36/6 hours = $6/hour

He earns $6/hour dog walking.

For 8 hours, he earns 8 hours * $6/hour = $48

To earn $66, he works 66/6 = 11 hours.

5 30

6 36

8 48

11 66

Part B:

He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.

Table for yard work

Hours     Money

5             $35

6             $42

8             $56

Part C:

For 5 hours, he earns $35 for yard work and $30 as a dog walker.

$35 - $30 = $5

Answer:

It is a Linear

Step-by-step explanation:

Linear ex: y = [tex]3_{x}[/tex] + 4 or 4 + [tex]3_{x}[/tex] = y

Quadratic ex: [tex]x^{2}[/tex] - 4x - 5 = 0

Answer: the vertical shift

Step-by-step explanation:

The vertical shift because the first equation j(x) is shifted up 11 while k(x) is shifted down 11. D in the equation y=acos/sin(bx-c)+d indicates if an object is moving vertically up or down.

The graph of k(x) have Vertical shifted down and graph of j(x) Vertical shifted up 11.

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .

Given:

j(x) = = 7 sin (6x- pi/2) +11

k(x) = 7 sin(6x- pi/2) - 11.

The +11 in j(x) shows the Vertical shift up.

and, the '-11' in k(x) shows the Vertical shifted down 11.

Hence, the difference is of the vertical shifting up or down.

Learn more about Translation here:

https://brainly.com/question/12463306

#SPJ2

Answer:

fg(-2)=17

Step-by-step explanation:

fg(x)=4(-2x)+1

=-8x+1

fg(-2)=-8(-2)+1

=16+1

17

Answer:

i have no idea

Step-by-step explanation:

i just dont know

Answer:

0.35

Step-by-step explanation:

100cm = 1m

1cm = 0.01m

35cm = 0.35m

Answer:

function : 2 and 3

Step-by-step explanation:

a function cant have any overlapping points on the x axis, if you can draw a line up and down (vertical) and it hits two points then it isn’t a function

Answer:

7000 milliliters

Step-by-step explanation:

1 liter = 1000 milliliters

1000 x 7 = 7000

Answer:

7000 milliliters

Step-by-step explanation:

7 Liters = 7000 milliliters.