Complete the following problems. It is over everything we've done the last few days. Take your time.
Make sure you insert your equation when having to write equations.
Question 3
5 pts
In 2015, 2200 students attended Polaris High School. The enrollment has been
declining 2% annually. If this trend continues, estimate how many students will be
enrolled in 2030.(Remember it is people that you have.)

Answer:

x = 1-2

Step-by-step explanation:

27 = - 3x - 9

36 = -3x

-12 = x

x = -12

Step-by-step explanation:

27+9=-3x

36=-3x

36 divided by -3=x

-12=x

Answer:

the answer is (1)

Step-by-step explanation:

k = am +3mx

k = m(a+3x)

m(a+3x) = k

[tex] \frac{m(a+3x)}{(a + 3x)} = \frac{k }{(a + 3x)} [/tex]

[tex]m = \frac{k }{a + 3x} [/tex]

Answer:

A= 113.1 (I rounded my answer)

Step-by-step explanation:

A=πr^2=π·6^2=113.09734

Answer:

The length of the road in the model is 60 m.

Step-by-step explanation:

Given: scale = 1:19

         real-life length of the road = 1.14 km

                                                      = 1140 m

Let the length of the road in the model be represented by d. A scale is a representative fraction that can be used to either increase or decrease the length of an object.

Scale = [tex]\frac{length on drawing}{actual length}[/tex]

The actual length is the real-life length given as 1140 m.

So that,

[tex]\frac{1}{19}[/tex] = [tex]\frac{d}{1140}[/tex]

19d = 1140

⇒ d = [tex]\frac{1140}{19}[/tex]

       = 60

Therefore, the length of the road in the model is 60 m.

Answer:

Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.

one chocolate cake=?=x

one lemon cake=?=y

$270 spent

need to buy total of 18 cakes

1-chocolate cake =$7

lemon cake = $5

cakes 18=x+y

money $110=$7x+$5y

When i graphed it on the demos calculator i got (10,8).

So 10= the number of chocolate cake brought and 4= the number of lemon cake brought

Step-by-step explanation:

y = 1 / (cx + a) - b

At the x-axis intercept, y = 0.

=> 1 / (cx + a) - b = 0

=> 1 / (cx + a) = b

=> b(cx + a) = 1

=> bcx + ab = 1

=> bcx = 1 - ab

=> x = (1 - ab) / (bc)

Hence the answer is Option B.

Answer:

I think personification

Step-by-step explanation:

k=-36

Step-by-step explanation:

x inversely proportional to y

x=1k/y

where k = constant

x= -3, y= 12, k = ?

-3=k/12

k = -3 × 12

k = -36

Answer:I picked 4

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

if the equation of line p is

4x+7y=20 then the equation of line q must be

-7 x +4y=15 because perpendicular lines have

slopes with a product of -1

Answer:

Let x equal “a number”

3x+5=9

Answer:

x = 4/3 or 1.33333333333333333333333(infinite 3)

Step-by-step explanation:

3 times a number =  3x

sum = addition

3x + 5 = 9

now balance equation, get numbers without x on same side. Subtract 5 from both sides, this will leave 3x on one side, and 9-5 on the other side.

3x = 4, now divide by 3 on each side to get x on one side

3x/3 = 4/3

x=4/3

4/3 = 1.33

3 x 1.33 +5 = 9

Answer:

4x-3

Step-by-step explanation:

(7x-5) - (3x-2)

aka

(7x-5)  -1 (3x-2)

first distribute the -1 into (3x-2)

-3x+2

so

(7x-5)+ -3x+2

next combine like terms

7x-3x=4x

so

4x-5+2

then

-5+2=-3

so

4x-3 would be your simplified equation

Answer: C

Step-by-step explanation:

Answer:

9x + 3y = 12

3y = -9x + 12

y = -3x + 4

Step-by-step explanation:

I hope it's help

Answer:

[tex]\frac{2}{k+2}[/tex]

Step-by-step explanation:

Given the expression:

[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]

We are to find the product as shown:

[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]

Hence the required function is [tex]\frac{2}{k+2}[/tex]

d. StartFraction 2 Over k + 2 EndFraction

aka

d. 2/k+2

Answer:

Theres no equation here?

Step-by-step explanation:

Answer:

Step-by-step explanation:

3rd one

While solving, you can treat inequalities the exact same as you would treat equations.  Pretend the inequality sign is an equals sign.  Now solve for x.

-3x + 6 < 27

-3x < 21

3x < -21

x < -7

Answer:

We conclude that:

Step-by-step explanation:

Given

Given the polynomial

[tex]-m^6-10m^3[/tex]

To determine

The degree of the polynomial

In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.

In our case,

The exponents of the terms of this polynomial are, in order, 6, and 3.

Thus, the highest degree (larger exponent) of the term is 6.

Therefore, we conclude that:

Answer:he ran 23 miles / XXIII miles more in February than March

Step-by-step explanation:

February = He ran XLVII ---   converting to numbers  becomes

XL= 40

VII=   7

XLVII= 47

In march he ran  XXIV--- converting to numbers becomes

XX= 20

IV= 4

XXIV= 24

Step 2

To find how many more he ran in February than March

Miles ran in February - Miles ran in March

47- 24=23.

Therefore he ran 23 miles / XXIII miles more in February than March

Answer:

pretty much answer c

Step-by-step explanation:

Answer:

721084490

Step-by-step explanation:

Answer:

the answer is $51.83  

Step-by-step explanation:

Answer:

40 or 56 because 3.65 x 14.2 is gonna equal 51.83

Answer:

the first one is 45% I don't no the second one

Answer:

4. (-8) - (+3)

Step-by-step explanation:

This answer does not result in an answer of -5

This subtracts -3 from -8, which gives you the answer of -11.

So, this answer is correct because it is the one that doesn't result in -5.

Answer:

Problem #4

Step-by-step explanation:

Some things to remember when doing problems like are

Double negative = positive

Double positive = positive

Negative & positive = negative

1. (-7) + (+2)          2. (-11) + (+6)        3. (-9) - (-4)        4. (-8) - (+3)

    -7 + 2                   -11 + 6                  -9 + 4                -8 - 3

       -5                          -5                         -5                     -11

Answer: 11+23i

Step-by-step explanation:

(i+5)(3+4i)

First foil

3i+4i^2 +15+20i

Then combine like terms

23i+15+4i^2

i^2 = -1 so,

23i+15+4(-1)

11+23i

Answer:

Step-by-step explanation:

ayo

Answer:

92/69 cannot be simplified

Step-by-step explanation:

Answer: There are 3 quarters , 9 dimes and 14 pennies.

Step-by-step explanation:

Let x= Number of quarters

Then, Number of dimes = 3x

Number of pennies = 3x+5

1 quarter = $ 0.25

1 dime = $0.10

1 penny = $ 0.01

So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)

= 0.25x+0.30x+ 0.03x+0.05

= 0.58x+0.05

Since Total amount = 1 dollar and 79 cents = $ 1.79  [1 cent = $ 0.01]

So,

[tex]0.58x+0.05=1.79\\\\\Rightarrow\ 0.58x= 1.74\\\\\Rightarrow x=\dfrac{1.74}{0.58}\\\\\Rightarrow x=3[/tex]

Thus, there are 3 quarters , 9 dimes , 14 pennies.

Answer:

Step-by-step explanation:

there are 3 quarters , 9 dimes , 14 pennies.

Answer:

x>-3 (if the = is meant to be +)

Step-by-step explanation:

Distribute the 2: 2x+10>4

Subtract 10 from both sides: 2x>-6

Divide both side by 2: x>-3